TSTP Solution File: HWV039_7 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV039_7 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Sep 17 02:11:03 EDT 2022
% Result : Unsatisfiable 27.14s 17.67s
% Output : Proof 30.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HWV039_7 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 31 22:07:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.35 Usage: tptp [options] [-file:]file
% 0.12/0.35 -h, -? prints this message.
% 0.12/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.35 -m, -model generate model.
% 0.12/0.35 -p, -proof generate proof.
% 0.12/0.35 -c, -core generate unsat core of named formulas.
% 0.12/0.35 -st, -statistics display statistics.
% 0.12/0.35 -t:timeout set timeout (in second).
% 0.12/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.35 -<param>:<value> configuration parameter and value.
% 0.12/0.35 -o:<output-file> file to place output in.
% 27.14/17.67 % SZS status Unsatisfiable
% 27.14/17.67 % SZS output start Proof
% 27.14/17.67 tff(v180_type, type, (
% 27.14/17.67 v180: state_type > $o)).
% 27.14/17.67 tff(constB0_type, type, (
% 27.14/17.67 constB0: state_type)).
% 27.14/17.67 tff(sK_VarCurr_type, type, (
% 27.14/17.67 sK_VarCurr: state_type)).
% 27.14/17.67 tff(constB24_type, type, (
% 27.14/17.67 constB24: state_type)).
% 27.14/17.67 tff(v1_type, type, (
% 27.14/17.67 v1: state_type > $o)).
% 27.14/17.67 tff(v184_type, type, (
% 27.14/17.67 v184: state_type > $o)).
% 27.14/17.67 tff(v193_type, type, (
% 27.14/17.67 v193: state_type > $o)).
% 27.14/17.67 tff(v192_type, type, (
% 27.14/17.67 v192: state_type > $o)).
% 27.14/17.67 tff(v191_type, type, (
% 27.14/17.67 v191: state_type > $o)).
% 27.14/17.67 tff(constB199_type, type, (
% 27.14/17.67 constB199: state_type)).
% 27.14/17.67 tff(v178_type, type, (
% 27.14/17.67 v178: state_type > $o)).
% 27.14/17.67 tff(constB198_type, type, (
% 27.14/17.67 constB198: state_type)).
% 27.14/17.67 tff(v181_type, type, (
% 27.14/17.67 v181: state_type > $o)).
% 27.14/17.67 tff(constB197_type, type, (
% 27.14/17.67 constB197: state_type)).
% 27.14/17.67 tff(v185_type, type, (
% 27.14/17.67 v185: state_type > $o)).
% 27.14/17.67 tff(v187_type, type, (
% 27.14/17.67 v187: state_type > $o)).
% 27.14/17.67 tff(v161_type, type, (
% 27.14/17.67 v161: state_type > $o)).
% 27.14/17.67 tff(v164_type, type, (
% 27.14/17.67 v164: state_type > $o)).
% 27.14/17.67 tff(v165_type, type, (
% 27.14/17.67 v165: state_type > $o)).
% 27.14/17.67 tff(v142_type, type, (
% 27.14/17.67 v142: state_type > $o)).
% 27.14/17.67 tff(v143_type, type, (
% 27.14/17.67 v143: state_type > $o)).
% 27.14/17.67 tff(v120_type, type, (
% 27.14/17.67 v120: state_type > $o)).
% 27.14/17.67 tff(constB195_type, type, (
% 27.14/17.67 constB195: state_type)).
% 27.14/17.67 tff(v90_type, type, (
% 27.14/17.67 v90: ( state_type * $int ) > $o)).
% 27.14/17.67 tff(constB194_type, type, (
% 27.14/17.67 constB194: state_type)).
% 27.14/17.67 tff(v100_type, type, (
% 27.14/17.67 v100: state_type > $o)).
% 27.14/17.67 tff(v110_type, type, (
% 27.14/17.67 v110: state_type > $o)).
% 27.14/17.67 tff(v108_type, type, (
% 27.14/17.67 v108: state_type > $o)).
% 27.14/17.67 tff(constB193_type, type, (
% 27.14/17.67 constB193: state_type)).
% 27.14/17.67 tff(v112_type, type, (
% 27.14/17.67 v112: state_type > $o)).
% 27.14/17.67 tff(v113_type, type, (
% 27.14/17.67 v113: state_type > $o)).
% 27.14/17.67 tff(v125_type, type, (
% 27.14/17.67 v125: state_type > $o)).
% 27.14/17.67 tff(constB192_type, type, (
% 27.14/17.67 constB192: state_type)).
% 27.14/17.67 tff(constB191_type, type, (
% 27.14/17.67 constB191: state_type)).
% 27.14/17.67 tff(v114_type, type, (
% 27.14/17.67 v114: state_type > $o)).
% 27.14/17.67 tff(v124_type, type, (
% 27.14/17.67 v124: state_type > $o)).
% 27.14/17.67 tff(constB190_type, type, (
% 27.14/17.67 constB190: state_type)).
% 27.14/17.67 tff(constB189_type, type, (
% 27.14/17.67 constB189: state_type)).
% 27.14/17.67 tff(v115_type, type, (
% 27.14/17.67 v115: state_type > $o)).
% 27.14/17.67 tff(v123_type, type, (
% 27.14/17.67 v123: state_type > $o)).
% 27.14/17.67 tff(v122_type, type, (
% 27.14/17.67 v122: state_type > $o)).
% 27.14/17.67 tff(constB187_type, type, (
% 27.14/17.67 constB187: state_type)).
% 27.14/17.67 tff(constB186_type, type, (
% 27.14/17.67 constB186: state_type)).
% 27.14/17.67 tff(constB185_type, type, (
% 27.14/17.67 constB185: state_type)).
% 27.14/17.67 tff(v116_type, type, (
% 27.14/17.67 v116: state_type > $o)).
% 27.14/17.67 tff(v117_type, type, (
% 27.14/17.67 v117: state_type > $o)).
% 27.14/17.67 tff(v121_type, type, (
% 27.14/17.67 v121: state_type > $o)).
% 27.14/17.67 tff(constB184_type, type, (
% 27.14/17.67 constB184: state_type)).
% 27.14/17.67 tff(v129_type, type, (
% 27.14/17.67 v129: ( state_type * $int ) > $o)).
% 27.14/17.67 tff(v127_type, type, (
% 27.14/17.67 v127: ( state_type * $int ) > $o)).
% 27.14/17.67 tff(constB183_type, type, (
% 27.14/17.67 constB183: state_type)).
% 27.14/17.67 tff(v130_type, type, (
% 27.14/17.67 v130: ( state_type * $int ) > $o)).
% 27.14/17.67 tff(constB182_type, type, (
% 27.14/17.67 constB182: state_type)).
% 27.14/17.67 tff(constB181_type, type, (
% 27.14/17.67 constB181: state_type)).
% 27.14/17.67 tff(v26_type, type, (
% 27.14/17.67 v26: state_type > $o)).
% 27.14/17.67 tff(constB180_type, type, (
% 27.14/17.67 constB180: state_type)).
% 27.14/17.67 tff(constB179_type, type, (
% 27.14/17.67 constB179: state_type)).
% 27.14/17.67 tff(constB178_type, type, (
% 27.14/17.67 constB178: state_type)).
% 27.14/17.67 tff(constB177_type, type, (
% 27.14/17.67 constB177: state_type)).
% 27.14/17.67 tff(constB176_type, type, (
% 27.14/17.67 constB176: state_type)).
% 27.14/17.67 tff(constB175_type, type, (
% 27.14/17.67 constB175: state_type)).
% 27.14/17.67 tff(constB174_type, type, (
% 27.14/17.67 constB174: state_type)).
% 27.14/17.67 tff(constB173_type, type, (
% 27.14/17.67 constB173: state_type)).
% 27.14/17.67 tff(constB172_type, type, (
% 27.14/17.67 constB172: state_type)).
% 27.14/17.67 tff(constB171_type, type, (
% 27.14/17.67 constB171: state_type)).
% 27.14/17.67 tff(v118_type, type, (
% 27.14/17.67 v118: state_type > $o)).
% 27.14/17.67 tff(constB170_type, type, (
% 27.14/17.67 constB170: state_type)).
% 27.14/17.67 tff(constB169_type, type, (
% 27.14/17.67 constB169: state_type)).
% 27.14/17.67 tff(constB168_type, type, (
% 27.14/17.67 constB168: state_type)).
% 27.14/17.67 tff(constB167_type, type, (
% 27.14/17.67 constB167: state_type)).
% 27.14/17.67 tff(constB166_type, type, (
% 27.14/17.67 constB166: state_type)).
% 27.14/17.67 tff(constB165_type, type, (
% 27.14/17.67 constB165: state_type)).
% 27.14/17.67 tff(constB164_type, type, (
% 27.14/17.67 constB164: state_type)).
% 27.14/17.67 tff(constB163_type, type, (
% 27.14/17.67 constB163: state_type)).
% 27.14/17.67 tff(constB162_type, type, (
% 27.14/17.67 constB162: state_type)).
% 27.14/17.67 tff(constB161_type, type, (
% 27.14/17.67 constB161: state_type)).
% 27.14/17.67 tff(constB160_type, type, (
% 27.14/17.67 constB160: state_type)).
% 27.14/17.67 tff(constB159_type, type, (
% 27.14/17.67 constB159: state_type)).
% 27.14/17.67 tff(constB158_type, type, (
% 27.14/17.67 constB158: state_type)).
% 27.14/17.67 tff(constB157_type, type, (
% 27.14/17.67 constB157: state_type)).
% 27.14/17.67 tff(constB156_type, type, (
% 27.14/17.67 constB156: state_type)).
% 27.14/17.67 tff(constB155_type, type, (
% 27.14/17.67 constB155: state_type)).
% 27.14/17.67 tff(constB154_type, type, (
% 27.14/17.67 constB154: state_type)).
% 27.14/17.67 tff(constB153_type, type, (
% 27.14/17.67 constB153: state_type)).
% 27.14/17.67 tff(constB152_type, type, (
% 27.14/17.67 constB152: state_type)).
% 27.14/17.67 tff(constB151_type, type, (
% 27.14/17.67 constB151: state_type)).
% 27.14/17.67 tff(constB150_type, type, (
% 27.14/17.67 constB150: state_type)).
% 27.14/17.67 tff(constB149_type, type, (
% 27.14/17.67 constB149: state_type)).
% 27.14/17.67 tff(constB148_type, type, (
% 27.14/17.67 constB148: state_type)).
% 27.14/17.67 tff(constB147_type, type, (
% 27.14/17.67 constB147: state_type)).
% 27.14/17.67 tff(constB146_type, type, (
% 27.14/17.67 constB146: state_type)).
% 27.14/17.67 tff(constB145_type, type, (
% 27.14/17.67 constB145: state_type)).
% 27.14/17.67 tff(constB144_type, type, (
% 27.14/17.67 constB144: state_type)).
% 27.14/17.67 tff(constB143_type, type, (
% 27.14/17.67 constB143: state_type)).
% 27.14/17.67 tff(constB142_type, type, (
% 27.14/17.67 constB142: state_type)).
% 27.14/17.67 tff(constB141_type, type, (
% 27.14/17.67 constB141: state_type)).
% 27.14/17.67 tff(constB140_type, type, (
% 27.14/17.67 constB140: state_type)).
% 27.14/17.67 tff(constB139_type, type, (
% 27.14/17.67 constB139: state_type)).
% 27.14/17.67 tff(constB138_type, type, (
% 27.14/17.67 constB138: state_type)).
% 27.14/17.67 tff(constB123_type, type, (
% 27.14/17.67 constB123: state_type)).
% 27.14/17.67 tff(constB122_type, type, (
% 27.14/17.67 constB122: state_type)).
% 27.14/17.67 tff(constB119_type, type, (
% 27.14/17.67 constB119: state_type)).
% 27.14/17.67 tff(constB117_type, type, (
% 27.14/17.67 constB117: state_type)).
% 27.14/17.67 tff(constB115_type, type, (
% 27.14/17.67 constB115: state_type)).
% 27.14/17.67 tff(constB113_type, type, (
% 27.14/17.67 constB113: state_type)).
% 27.14/17.67 tff(constB111_type, type, (
% 27.14/17.67 constB111: state_type)).
% 27.14/17.67 tff(constB110_type, type, (
% 27.14/17.67 constB110: state_type)).
% 27.14/17.67 tff(constB109_type, type, (
% 27.14/17.67 constB109: state_type)).
% 27.14/17.67 tff(v119_type, type, (
% 27.14/17.67 v119: state_type > $o)).
% 27.14/17.67 tff(constB108_type, type, (
% 27.14/17.67 constB108: state_type)).
% 27.14/17.67 tff(constB107_type, type, (
% 27.14/17.67 constB107: state_type)).
% 27.14/17.67 tff(constB106_type, type, (
% 27.14/17.67 constB106: state_type)).
% 27.14/17.67 tff(constB105_type, type, (
% 27.14/17.67 constB105: state_type)).
% 27.14/17.67 tff(constB104_type, type, (
% 27.14/17.67 constB104: state_type)).
% 27.14/17.67 tff(constB103_type, type, (
% 27.14/17.67 constB103: state_type)).
% 27.14/17.67 tff(constB102_type, type, (
% 27.14/17.67 constB102: state_type)).
% 27.14/17.67 tff(constB101_type, type, (
% 27.14/17.67 constB101: state_type)).
% 27.14/17.67 tff(constB100_type, type, (
% 27.14/17.67 constB100: state_type)).
% 27.14/17.67 tff(constB99_type, type, (
% 27.14/17.67 constB99: state_type)).
% 27.14/17.67 tff(constB98_type, type, (
% 27.14/17.67 constB98: state_type)).
% 27.14/17.67 tff(constB97_type, type, (
% 27.14/17.67 constB97: state_type)).
% 27.14/17.67 tff(constB96_type, type, (
% 27.14/17.67 constB96: state_type)).
% 27.14/17.67 tff(constB95_type, type, (
% 27.14/17.67 constB95: state_type)).
% 27.14/17.67 tff(constB94_type, type, (
% 27.14/17.67 constB94: state_type)).
% 27.14/17.67 tff(constB93_type, type, (
% 27.14/17.67 constB93: state_type)).
% 27.14/17.67 tff(constB92_type, type, (
% 27.14/17.67 constB92: state_type)).
% 27.14/17.67 tff(constB91_type, type, (
% 27.14/17.67 constB91: state_type)).
% 27.14/17.67 tff(constB90_type, type, (
% 27.14/17.67 constB90: state_type)).
% 27.14/17.67 tff(constB89_type, type, (
% 27.14/17.67 constB89: state_type)).
% 27.14/17.67 tff(constB88_type, type, (
% 27.14/17.67 constB88: state_type)).
% 27.14/17.67 tff(constB87_type, type, (
% 27.14/17.67 constB87: state_type)).
% 27.14/17.67 tff(constB86_type, type, (
% 27.14/17.67 constB86: state_type)).
% 27.14/17.67 tff(constB85_type, type, (
% 27.14/17.67 constB85: state_type)).
% 27.14/17.67 tff(constB84_type, type, (
% 27.14/17.67 constB84: state_type)).
% 27.14/17.67 tff(constB83_type, type, (
% 27.14/17.67 constB83: state_type)).
% 27.14/17.67 tff(constB82_type, type, (
% 27.14/17.67 constB82: state_type)).
% 27.14/17.67 tff(constB81_type, type, (
% 27.14/17.67 constB81: state_type)).
% 27.14/17.67 tff(constB80_type, type, (
% 27.14/17.67 constB80: state_type)).
% 27.14/17.67 tff(constB79_type, type, (
% 27.14/17.67 constB79: state_type)).
% 27.14/17.67 tff(constB78_type, type, (
% 27.14/17.67 constB78: state_type)).
% 27.14/17.67 tff(constB77_type, type, (
% 27.14/17.67 constB77: state_type)).
% 27.14/17.67 tff(constB76_type, type, (
% 27.14/17.67 constB76: state_type)).
% 27.14/17.67 tff(constB75_type, type, (
% 27.14/17.67 constB75: state_type)).
% 27.14/17.67 tff(constB74_type, type, (
% 27.14/17.67 constB74: state_type)).
% 27.14/17.67 tff(constB73_type, type, (
% 27.14/17.67 constB73: state_type)).
% 27.14/17.67 tff(constB72_type, type, (
% 27.14/17.67 constB72: state_type)).
% 27.14/17.67 tff(constB71_type, type, (
% 27.14/17.67 constB71: state_type)).
% 27.14/17.67 tff(constB70_type, type, (
% 27.14/17.67 constB70: state_type)).
% 27.14/17.67 tff(constB69_type, type, (
% 27.14/17.67 constB69: state_type)).
% 27.14/17.67 tff(constB68_type, type, (
% 27.14/17.67 constB68: state_type)).
% 27.14/17.67 tff(constB67_type, type, (
% 27.14/17.67 constB67: state_type)).
% 27.14/17.67 tff(constB66_type, type, (
% 27.14/17.67 constB66: state_type)).
% 27.14/17.67 tff(constB65_type, type, (
% 27.14/17.67 constB65: state_type)).
% 27.14/17.67 tff(constB64_type, type, (
% 27.14/17.67 constB64: state_type)).
% 27.14/17.67 tff(constB63_type, type, (
% 27.14/17.67 constB63: state_type)).
% 27.14/17.67 tff(constB62_type, type, (
% 27.14/17.67 constB62: state_type)).
% 27.14/17.67 tff(constB61_type, type, (
% 27.14/17.67 constB61: state_type)).
% 27.14/17.67 tff(constB60_type, type, (
% 27.14/17.67 constB60: state_type)).
% 27.14/17.67 tff(constB59_type, type, (
% 27.14/17.67 constB59: state_type)).
% 27.14/17.67 tff(constB58_type, type, (
% 27.14/17.67 constB58: state_type)).
% 27.14/17.67 tff(constB57_type, type, (
% 27.14/17.67 constB57: state_type)).
% 27.14/17.67 tff(constB56_type, type, (
% 27.14/17.67 constB56: state_type)).
% 27.14/17.67 tff(constB55_type, type, (
% 27.14/17.67 constB55: state_type)).
% 27.14/17.67 tff(constB54_type, type, (
% 27.14/17.67 constB54: state_type)).
% 27.14/17.67 tff(constB53_type, type, (
% 27.14/17.67 constB53: state_type)).
% 27.14/17.67 tff(constB52_type, type, (
% 27.14/17.67 constB52: state_type)).
% 27.14/17.67 tff(constB51_type, type, (
% 27.14/17.67 constB51: state_type)).
% 27.14/17.67 tff(constB50_type, type, (
% 27.14/17.67 constB50: state_type)).
% 27.14/17.67 tff(constB49_type, type, (
% 27.14/17.67 constB49: state_type)).
% 27.14/17.67 tff(constB48_type, type, (
% 27.14/17.67 constB48: state_type)).
% 27.14/17.67 tff(constB47_type, type, (
% 27.14/17.67 constB47: state_type)).
% 27.14/17.67 tff(constB46_type, type, (
% 27.14/17.67 constB46: state_type)).
% 27.14/17.67 tff(constB45_type, type, (
% 27.14/17.67 constB45: state_type)).
% 27.14/17.67 tff(constB44_type, type, (
% 27.14/17.67 constB44: state_type)).
% 27.14/17.67 tff(constB43_type, type, (
% 27.14/17.67 constB43: state_type)).
% 27.14/17.67 tff(constB42_type, type, (
% 27.14/17.67 constB42: state_type)).
% 27.14/17.67 tff(constB41_type, type, (
% 27.14/17.67 constB41: state_type)).
% 27.14/17.67 tff(constB40_type, type, (
% 27.14/17.67 constB40: state_type)).
% 27.14/17.67 tff(constB39_type, type, (
% 27.14/17.67 constB39: state_type)).
% 27.14/17.67 tff(constB38_type, type, (
% 27.14/17.67 constB38: state_type)).
% 27.14/17.67 tff(constB37_type, type, (
% 27.14/17.67 constB37: state_type)).
% 27.14/17.67 tff(constB36_type, type, (
% 27.14/17.67 constB36: state_type)).
% 27.14/17.67 tff(constB35_type, type, (
% 27.14/17.67 constB35: state_type)).
% 27.14/17.67 tff(constB34_type, type, (
% 27.14/17.67 constB34: state_type)).
% 27.14/17.67 tff(constB33_type, type, (
% 27.14/17.67 constB33: state_type)).
% 27.14/17.67 tff(constB32_type, type, (
% 27.14/17.67 constB32: state_type)).
% 27.14/17.67 tff(constB31_type, type, (
% 27.14/17.67 constB31: state_type)).
% 27.14/17.67 tff(constB29_type, type, (
% 27.14/17.67 constB29: state_type)).
% 27.14/17.67 tff(constB28_type, type, (
% 27.14/17.67 constB28: state_type)).
% 27.14/17.67 tff(constB27_type, type, (
% 27.14/17.67 constB27: state_type)).
% 27.14/17.67 tff(constB26_type, type, (
% 27.14/17.67 constB26: state_type)).
% 27.14/17.67 tff(constB25_type, type, (
% 27.14/17.67 constB25: state_type)).
% 27.14/17.67 tff(constB23_type, type, (
% 27.14/17.67 constB23: state_type)).
% 27.14/17.67 tff(constB22_type, type, (
% 27.14/17.67 constB22: state_type)).
% 27.14/17.67 tff(constB21_type, type, (
% 27.14/17.67 constB21: state_type)).
% 27.14/17.67 tff(constB20_type, type, (
% 27.14/17.67 constB20: state_type)).
% 27.14/17.67 tff(constB19_type, type, (
% 27.14/17.67 constB19: state_type)).
% 27.14/17.67 tff(constB18_type, type, (
% 27.14/17.67 constB18: state_type)).
% 27.14/17.67 tff(constB17_type, type, (
% 27.14/17.67 constB17: state_type)).
% 27.14/17.67 tff(constB16_type, type, (
% 27.14/17.67 constB16: state_type)).
% 27.14/17.67 tff(constB15_type, type, (
% 27.14/17.67 constB15: state_type)).
% 27.14/17.67 tff(constB14_type, type, (
% 27.14/17.67 constB14: state_type)).
% 27.14/17.67 tff(constB13_type, type, (
% 27.14/17.67 constB13: state_type)).
% 27.14/17.67 tff(constB12_type, type, (
% 27.14/17.67 constB12: state_type)).
% 27.14/17.67 tff(constB11_type, type, (
% 27.14/17.67 constB11: state_type)).
% 27.14/17.67 tff(constB10_type, type, (
% 27.14/17.67 constB10: state_type)).
% 27.14/17.67 tff(constB9_type, type, (
% 27.14/17.67 constB9: state_type)).
% 27.14/17.67 tff(constB7_type, type, (
% 27.14/17.67 constB7: state_type)).
% 27.14/17.67 tff(constB8_type, type, (
% 27.14/17.67 constB8: state_type)).
% 27.14/17.67 tff(constB6_type, type, (
% 27.14/17.67 constB6: state_type)).
% 27.14/17.67 tff(constB5_type, type, (
% 27.14/17.67 constB5: state_type)).
% 27.14/17.67 tff(constB4_type, type, (
% 27.14/17.67 constB4: state_type)).
% 27.14/17.67 tff(constB3_type, type, (
% 27.14/17.67 constB3: state_type)).
% 27.14/17.67 tff(constB2_type, type, (
% 27.14/17.67 constB2: state_type)).
% 27.14/17.67 tff(constB1_type, type, (
% 27.14/17.67 constB1: state_type)).
% 27.14/17.67 tff(v101_type, type, (
% 27.14/17.67 v101: state_type > $o)).
% 27.14/17.67 tff(nextState_type, type, (
% 27.14/17.67 nextState: ( state_type * state_type ) > $o)).
% 27.14/17.67 tff(v102_type, type, (
% 27.14/17.67 v102: state_type > $o)).
% 27.14/17.67 tff(v104_type, type, (
% 27.14/17.67 v104: state_type > $o)).
% 27.14/17.67 tff(constB30_type, type, (
% 27.14/17.67 constB30: state_type)).
% 27.14/17.67 tff(constB112_type, type, (
% 27.14/17.67 constB112: state_type)).
% 27.14/17.67 tff(constB114_type, type, (
% 27.14/17.67 constB114: state_type)).
% 27.14/17.67 tff(constB116_type, type, (
% 27.14/17.67 constB116: state_type)).
% 27.14/17.67 tff(constB118_type, type, (
% 27.14/17.67 constB118: state_type)).
% 27.14/17.67 tff(constB121_type, type, (
% 27.14/17.67 constB121: state_type)).
% 27.14/17.67 tff(constB120_type, type, (
% 27.14/17.67 constB120: state_type)).
% 27.14/17.67 tff(constB125_type, type, (
% 27.14/17.67 constB125: state_type)).
% 27.14/17.67 tff(constB126_type, type, (
% 27.14/17.67 constB126: state_type)).
% 27.14/17.67 tff(constB127_type, type, (
% 27.14/17.67 constB127: state_type)).
% 27.14/17.67 tff(constB128_type, type, (
% 27.14/17.67 constB128: state_type)).
% 27.14/17.67 tff(constB129_type, type, (
% 27.14/17.67 constB129: state_type)).
% 27.14/17.67 tff(constB137_type, type, (
% 27.14/17.67 constB137: state_type)).
% 27.14/17.67 tff(constB132_type, type, (
% 27.14/17.67 constB132: state_type)).
% 27.14/17.67 tff(constB133_type, type, (
% 27.14/17.67 constB133: state_type)).
% 27.14/17.67 tff(constB134_type, type, (
% 27.14/17.67 constB134: state_type)).
% 27.14/17.67 tff(constB135_type, type, (
% 27.14/17.67 constB135: state_type)).
% 27.14/17.67 tff(constB136_type, type, (
% 27.14/17.67 constB136: state_type)).
% 27.14/17.67 tff(constB131_type, type, (
% 27.14/17.67 constB131: state_type)).
% 27.14/17.67 tff(constB130_type, type, (
% 27.14/17.67 constB130: state_type)).
% 27.14/17.67 tff(constB124_type, type, (
% 27.14/17.67 constB124: state_type)).
% 27.14/17.67 tff(constB188_type, type, (
% 27.14/17.67 constB188: state_type)).
% 27.14/17.67 tff(v88_type, type, (
% 27.14/17.67 v88: ( state_type * $int ) > $o)).
% 27.14/17.67 tff(constB196_type, type, (
% 27.14/17.67 constB196: state_type)).
% 27.14/17.67 tff(v168_type, type, (
% 27.14/17.67 v168: state_type > $o)).
% 27.14/17.67 tff(v139_type, type, (
% 27.14/17.67 v139: state_type > $o)).
% 27.14/17.67 tff(v140_type, type, (
% 27.14/17.67 v140: state_type > $o)).
% 27.14/17.67 tff(v183_type, type, (
% 27.14/17.67 v183: state_type > $o)).
% 27.14/17.67 tff(v9_type, type, (
% 27.14/17.67 v9: state_type > $o)).
% 27.14/17.67 tff(v13_type, type, (
% 27.14/17.67 v13: state_type > $o)).
% 27.14/17.67 tff(v19_type, type, (
% 27.14/17.67 v19: state_type > $o)).
% 27.14/17.67 tff(v18_type, type, (
% 27.14/17.67 v18: state_type > $o)).
% 27.14/17.67 tff(v22_type, type, (
% 27.14/17.67 v22: state_type > $o)).
% 27.14/17.67 tff(v145_type, type, (
% 27.14/17.67 v145: state_type > $o)).
% 27.14/17.67 tff(v146_type, type, (
% 27.14/17.67 v146: state_type > $o)).
% 27.14/17.67 tff(v147_type, type, (
% 27.14/17.67 v147: state_type > $o)).
% 27.14/17.67 tff(v144_type, type, (
% 27.14/17.67 v144: state_type > $o)).
% 27.14/17.67 tff(v166_type, type, (
% 27.14/17.67 v166: state_type > $o)).
% 27.14/17.67 tff(v141_type, type, (
% 27.14/17.67 v141: state_type > $o)).
% 27.14/17.67 tff(v86_type, type, (
% 27.14/17.67 v86: state_type > $o)).
% 27.14/17.67 tff(v148_type, type, (
% 27.14/17.67 v148: state_type > $o)).
% 27.14/17.67 tff(constB200_type, type, (
% 27.14/17.67 constB200: state_type)).
% 27.14/17.67 tff(v167_type, type, (
% 27.14/17.67 v167: state_type > $o)).
% 27.14/17.67 tff(reachableState_type, type, (
% 27.14/17.67 reachableState: state_type > $o)).
% 27.14/17.67 tff(1,assumption,(constB24 = sK_VarCurr), introduced(assumption)).
% 27.14/17.67 tff(2,plain,
% 27.14/17.67 (v1(constB24) <=> v1(sK_VarCurr)),
% 27.14/17.67 inference(monotonicity,[status(thm)],[1])).
% 27.14/17.67 tff(3,plain,
% 27.14/17.67 (v1(sK_VarCurr) <=> v1(constB24)),
% 27.14/17.67 inference(symmetry,[status(thm)],[2])).
% 27.14/17.67 tff(4,plain,
% 27.14/17.67 ((~v1(sK_VarCurr)) <=> (~v1(constB24))),
% 27.14/17.67 inference(monotonicity,[status(thm)],[3])).
% 27.14/17.67 tff(5,plain,
% 27.14/17.67 (v191(sK_VarCurr) <=> v191(sK_VarCurr)),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(6,axiom,(v191(sK_VarCurr)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssertion_1_1_1')).
% 27.14/17.67 tff(7,plain,
% 27.14/17.67 (v191(sK_VarCurr)),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[6, 5])).
% 27.14/17.67 tff(8,plain,
% 27.14/17.67 (^[VarCurr: state_type] : refl((v192(VarCurr) | (~v191(VarCurr))) <=> (v192(VarCurr) | (~v191(VarCurr))))),
% 27.14/17.67 inference(bind,[status(th)],[])).
% 27.14/17.67 tff(9,plain,
% 27.14/17.67 (![VarCurr: state_type] : (v192(VarCurr) | (~v191(VarCurr))) <=> ![VarCurr: state_type] : (v192(VarCurr) | (~v191(VarCurr)))),
% 27.14/17.67 inference(quant_intro,[status(thm)],[8])).
% 27.14/17.67 tff(10,plain,
% 27.14/17.67 (![VarCurr: state_type] : (v192(VarCurr) | (~v191(VarCurr))) <=> ![VarCurr: state_type] : (v192(VarCurr) | (~v191(VarCurr)))),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(11,plain,
% 27.14/17.67 (^[VarCurr: state_type] : rewrite(((~v191(VarCurr)) | v192(VarCurr)) <=> (v192(VarCurr) | (~v191(VarCurr))))),
% 27.14/17.67 inference(bind,[status(th)],[])).
% 27.14/17.67 tff(12,plain,
% 27.14/17.67 (![VarCurr: state_type] : ((~v191(VarCurr)) | v192(VarCurr)) <=> ![VarCurr: state_type] : (v192(VarCurr) | (~v191(VarCurr)))),
% 27.14/17.67 inference(quant_intro,[status(thm)],[11])).
% 27.14/17.67 tff(13,axiom,(![VarCurr: state_type] : ((~v191(VarCurr)) | v192(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_50_1_1_1_1')).
% 27.14/17.67 tff(14,plain,
% 27.14/17.67 (![VarCurr: state_type] : (v192(VarCurr) | (~v191(VarCurr)))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[13, 12])).
% 27.14/17.67 tff(15,plain,
% 27.14/17.67 (![VarCurr: state_type] : (v192(VarCurr) | (~v191(VarCurr)))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[14, 10])).
% 27.14/17.67 tff(16,plain,(
% 27.14/17.67 ![VarCurr: state_type] : (v192(VarCurr) | (~v191(VarCurr)))),
% 27.14/17.67 inference(skolemize,[status(sab)],[15])).
% 27.14/17.67 tff(17,plain,
% 27.14/17.67 (![VarCurr: state_type] : (v192(VarCurr) | (~v191(VarCurr)))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[16, 9])).
% 27.14/17.67 tff(18,plain,
% 27.14/17.67 (((~![VarCurr: state_type] : (v192(VarCurr) | (~v191(VarCurr)))) | (v192(sK_VarCurr) | (~v191(sK_VarCurr)))) <=> ((~![VarCurr: state_type] : (v192(VarCurr) | (~v191(VarCurr)))) | v192(sK_VarCurr) | (~v191(sK_VarCurr)))),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(19,plain,
% 27.14/17.67 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v191(VarCurr)))) | (v192(sK_VarCurr) | (~v191(sK_VarCurr)))),
% 27.14/17.67 inference(quant_inst,[status(thm)],[])).
% 27.14/17.67 tff(20,plain,
% 27.14/17.67 ((~![VarCurr: state_type] : (v192(VarCurr) | (~v191(VarCurr)))) | v192(sK_VarCurr) | (~v191(sK_VarCurr))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[19, 18])).
% 27.14/17.67 tff(21,plain,
% 27.14/17.67 (v192(sK_VarCurr)),
% 27.14/17.67 inference(unit_resolution,[status(thm)],[20, 17, 7])).
% 27.14/17.67 tff(22,plain,
% 27.14/17.67 (^[VarCurr: state_type] : refl((v193(VarCurr) | (~v192(VarCurr))) <=> (v193(VarCurr) | (~v192(VarCurr))))),
% 27.14/17.67 inference(bind,[status(th)],[])).
% 27.14/17.67 tff(23,plain,
% 27.14/17.67 (![VarCurr: state_type] : (v193(VarCurr) | (~v192(VarCurr))) <=> ![VarCurr: state_type] : (v193(VarCurr) | (~v192(VarCurr)))),
% 27.14/17.67 inference(quant_intro,[status(thm)],[22])).
% 27.14/17.67 tff(24,plain,
% 27.14/17.67 (![VarCurr: state_type] : (v193(VarCurr) | (~v192(VarCurr))) <=> ![VarCurr: state_type] : (v193(VarCurr) | (~v192(VarCurr)))),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(25,plain,
% 27.14/17.67 (^[VarCurr: state_type] : rewrite(((~v192(VarCurr)) | v193(VarCurr)) <=> (v193(VarCurr) | (~v192(VarCurr))))),
% 27.14/17.67 inference(bind,[status(th)],[])).
% 27.14/17.67 tff(26,plain,
% 27.14/17.67 (![VarCurr: state_type] : ((~v192(VarCurr)) | v193(VarCurr)) <=> ![VarCurr: state_type] : (v193(VarCurr) | (~v192(VarCurr)))),
% 27.14/17.67 inference(quant_intro,[status(thm)],[25])).
% 27.14/17.67 tff(27,axiom,(![VarCurr: state_type] : ((~v192(VarCurr)) | v193(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_49_1_1_1_1')).
% 27.14/17.67 tff(28,plain,
% 27.14/17.67 (![VarCurr: state_type] : (v193(VarCurr) | (~v192(VarCurr)))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[27, 26])).
% 27.14/17.67 tff(29,plain,
% 27.14/17.67 (![VarCurr: state_type] : (v193(VarCurr) | (~v192(VarCurr)))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[28, 24])).
% 27.14/17.67 tff(30,plain,(
% 27.14/17.67 ![VarCurr: state_type] : (v193(VarCurr) | (~v192(VarCurr)))),
% 27.14/17.67 inference(skolemize,[status(sab)],[29])).
% 27.14/17.67 tff(31,plain,
% 27.14/17.67 (![VarCurr: state_type] : (v193(VarCurr) | (~v192(VarCurr)))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[30, 23])).
% 27.14/17.67 tff(32,plain,
% 27.14/17.67 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v192(VarCurr)))) | (v193(sK_VarCurr) | (~v192(sK_VarCurr)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v192(VarCurr)))) | v193(sK_VarCurr) | (~v192(sK_VarCurr)))),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(33,plain,
% 27.14/17.67 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v192(VarCurr)))) | (v193(sK_VarCurr) | (~v192(sK_VarCurr)))),
% 27.14/17.67 inference(quant_inst,[status(thm)],[])).
% 27.14/17.67 tff(34,plain,
% 27.14/17.67 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v192(VarCurr)))) | v193(sK_VarCurr) | (~v192(sK_VarCurr))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[33, 32])).
% 27.14/17.67 tff(35,plain,
% 27.14/17.67 (v193(sK_VarCurr)),
% 27.14/17.67 inference(unit_resolution,[status(thm)],[34, 31, 21])).
% 27.14/17.67 tff(36,plain,
% 27.14/17.67 (^[VarCurr: state_type] : refl((v184(VarCurr) | (~v193(VarCurr))) <=> (v184(VarCurr) | (~v193(VarCurr))))),
% 27.14/17.67 inference(bind,[status(th)],[])).
% 27.14/17.67 tff(37,plain,
% 27.14/17.67 (![VarCurr: state_type] : (v184(VarCurr) | (~v193(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v193(VarCurr)))),
% 27.14/17.67 inference(quant_intro,[status(thm)],[36])).
% 27.14/17.67 tff(38,plain,
% 27.14/17.67 (![VarCurr: state_type] : (v184(VarCurr) | (~v193(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v193(VarCurr)))),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(39,plain,
% 27.14/17.67 (^[VarCurr: state_type] : rewrite(((~v193(VarCurr)) | v184(VarCurr)) <=> (v184(VarCurr) | (~v193(VarCurr))))),
% 27.14/17.67 inference(bind,[status(th)],[])).
% 27.14/17.67 tff(40,plain,
% 27.14/17.67 (![VarCurr: state_type] : ((~v193(VarCurr)) | v184(VarCurr)) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v193(VarCurr)))),
% 27.14/17.67 inference(quant_intro,[status(thm)],[39])).
% 27.14/17.67 tff(41,axiom,(![VarCurr: state_type] : ((~v193(VarCurr)) | v184(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_48_1_1_1_1')).
% 27.14/17.67 tff(42,plain,
% 27.14/17.67 (![VarCurr: state_type] : (v184(VarCurr) | (~v193(VarCurr)))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[41, 40])).
% 27.14/17.67 tff(43,plain,
% 27.14/17.67 (![VarCurr: state_type] : (v184(VarCurr) | (~v193(VarCurr)))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[42, 38])).
% 27.14/17.67 tff(44,plain,(
% 27.14/17.67 ![VarCurr: state_type] : (v184(VarCurr) | (~v193(VarCurr)))),
% 27.14/17.67 inference(skolemize,[status(sab)],[43])).
% 27.14/17.67 tff(45,plain,
% 27.14/17.67 (![VarCurr: state_type] : (v184(VarCurr) | (~v193(VarCurr)))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[44, 37])).
% 27.14/17.67 tff(46,plain,
% 27.14/17.67 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v193(VarCurr)))) | (v184(sK_VarCurr) | (~v193(sK_VarCurr)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v193(VarCurr)))) | v184(sK_VarCurr) | (~v193(sK_VarCurr)))),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(47,plain,
% 27.14/17.67 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v193(VarCurr)))) | (v184(sK_VarCurr) | (~v193(sK_VarCurr)))),
% 27.14/17.67 inference(quant_inst,[status(thm)],[])).
% 27.14/17.67 tff(48,plain,
% 27.14/17.67 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v193(VarCurr)))) | v184(sK_VarCurr) | (~v193(sK_VarCurr))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[47, 46])).
% 27.14/17.67 tff(49,plain,
% 27.14/17.67 (v184(sK_VarCurr)),
% 27.14/17.67 inference(unit_resolution,[status(thm)],[48, 45, 35])).
% 27.14/17.67 tff(50,plain,
% 27.14/17.67 (^[VarCurr: state_type] : refl(((~v1(VarCurr)) | (~v184(VarCurr))) <=> ((~v1(VarCurr)) | (~v184(VarCurr))))),
% 27.14/17.67 inference(bind,[status(th)],[])).
% 27.14/17.67 tff(51,plain,
% 27.14/17.67 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr))) <=> ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 27.14/17.67 inference(quant_intro,[status(thm)],[50])).
% 27.14/17.67 tff(52,plain,
% 27.14/17.67 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr))) <=> ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(53,plain,
% 27.14/17.67 (^[VarCurr: state_type] : rewrite(((~v184(VarCurr)) | (~v1(VarCurr))) <=> ((~v1(VarCurr)) | (~v184(VarCurr))))),
% 27.14/17.67 inference(bind,[status(th)],[])).
% 27.14/17.67 tff(54,plain,
% 27.14/17.67 (![VarCurr: state_type] : ((~v184(VarCurr)) | (~v1(VarCurr))) <=> ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 27.14/17.67 inference(quant_intro,[status(thm)],[53])).
% 27.14/17.67 tff(55,axiom,(![VarCurr: state_type] : ((~v184(VarCurr)) | (~v1(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_42_1_1_2')).
% 27.14/17.67 tff(56,plain,
% 27.14/17.67 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[55, 54])).
% 27.14/17.67 tff(57,plain,
% 27.14/17.67 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[56, 52])).
% 27.14/17.67 tff(58,plain,(
% 27.14/17.67 ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 27.14/17.67 inference(skolemize,[status(sab)],[57])).
% 27.14/17.67 tff(59,plain,
% 27.14/17.67 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[58, 51])).
% 27.14/17.67 tff(60,plain,
% 27.14/17.67 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(sK_VarCurr)) | (~v184(sK_VarCurr)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(sK_VarCurr)) | (~v184(sK_VarCurr)))),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(61,plain,
% 27.14/17.67 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(sK_VarCurr)) | (~v184(sK_VarCurr)))),
% 27.14/17.67 inference(quant_inst,[status(thm)],[])).
% 27.14/17.67 tff(62,plain,
% 27.14/17.67 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(sK_VarCurr)) | (~v184(sK_VarCurr))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[61, 60])).
% 27.14/17.67 tff(63,plain,
% 27.14/17.67 (~v1(sK_VarCurr)),
% 27.14/17.67 inference(unit_resolution,[status(thm)],[62, 59, 49])).
% 27.14/17.67 tff(64,plain,
% 27.14/17.67 (~v1(constB24)),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[63, 4])).
% 27.14/17.67 tff(65,plain,
% 27.14/17.67 (v1(constB24) <=> v1(constB24)),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(66,axiom,(v1(constB24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_24_1')).
% 27.14/17.67 tff(67,plain,
% 27.14/17.67 (v1(constB24)),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[66, 65])).
% 27.14/17.67 tff(68,plain,
% 27.14/17.67 ($false),
% 27.14/17.67 inference(unit_resolution,[status(thm)],[67, 64])).
% 27.14/17.67 tff(69,plain,(~(constB24 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 27.14/17.67 tff(70,assumption,(constB199 = sK_VarCurr), introduced(assumption)).
% 27.14/17.67 tff(71,plain,
% 27.14/17.67 (v180(constB199) <=> v180(sK_VarCurr)),
% 27.14/17.67 inference(monotonicity,[status(thm)],[70])).
% 27.14/17.67 tff(72,plain,
% 27.14/17.67 (v180(sK_VarCurr) <=> v180(constB199)),
% 27.14/17.67 inference(symmetry,[status(thm)],[71])).
% 27.14/17.67 tff(73,plain,
% 27.14/17.67 (^[VarCurr: state_type] : refl((v180(VarCurr) | (~v191(VarCurr))) <=> (v180(VarCurr) | (~v191(VarCurr))))),
% 27.14/17.67 inference(bind,[status(th)],[])).
% 27.14/17.67 tff(74,plain,
% 27.14/17.67 (![VarCurr: state_type] : (v180(VarCurr) | (~v191(VarCurr))) <=> ![VarCurr: state_type] : (v180(VarCurr) | (~v191(VarCurr)))),
% 27.14/17.67 inference(quant_intro,[status(thm)],[73])).
% 27.14/17.67 tff(75,plain,
% 27.14/17.67 (![VarCurr: state_type] : (v180(VarCurr) | (~v191(VarCurr))) <=> ![VarCurr: state_type] : (v180(VarCurr) | (~v191(VarCurr)))),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(76,plain,
% 27.14/17.67 (^[VarCurr: state_type] : rewrite(((~v191(VarCurr)) | v180(VarCurr)) <=> (v180(VarCurr) | (~v191(VarCurr))))),
% 27.14/17.67 inference(bind,[status(th)],[])).
% 27.14/17.67 tff(77,plain,
% 27.14/17.67 (![VarCurr: state_type] : ((~v191(VarCurr)) | v180(VarCurr)) <=> ![VarCurr: state_type] : (v180(VarCurr) | (~v191(VarCurr)))),
% 27.14/17.67 inference(quant_intro,[status(thm)],[76])).
% 27.14/17.67 tff(78,axiom,(![VarCurr: state_type] : ((~v191(VarCurr)) | v180(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_50_1_1_1_2')).
% 27.14/17.67 tff(79,plain,
% 27.14/17.67 (![VarCurr: state_type] : (v180(VarCurr) | (~v191(VarCurr)))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[78, 77])).
% 27.14/17.67 tff(80,plain,
% 27.14/17.67 (![VarCurr: state_type] : (v180(VarCurr) | (~v191(VarCurr)))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[79, 75])).
% 27.14/17.67 tff(81,plain,(
% 27.14/17.67 ![VarCurr: state_type] : (v180(VarCurr) | (~v191(VarCurr)))),
% 27.14/17.67 inference(skolemize,[status(sab)],[80])).
% 27.14/17.67 tff(82,plain,
% 27.14/17.67 (![VarCurr: state_type] : (v180(VarCurr) | (~v191(VarCurr)))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[81, 74])).
% 27.14/17.67 tff(83,plain,
% 27.14/17.67 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v191(VarCurr)))) | (v180(sK_VarCurr) | (~v191(sK_VarCurr)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v191(VarCurr)))) | v180(sK_VarCurr) | (~v191(sK_VarCurr)))),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(84,plain,
% 27.14/17.67 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v191(VarCurr)))) | (v180(sK_VarCurr) | (~v191(sK_VarCurr)))),
% 27.14/17.67 inference(quant_inst,[status(thm)],[])).
% 27.14/17.67 tff(85,plain,
% 27.14/17.67 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v191(VarCurr)))) | v180(sK_VarCurr) | (~v191(sK_VarCurr))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[84, 83])).
% 27.14/17.67 tff(86,plain,
% 27.14/17.67 (v180(sK_VarCurr)),
% 27.14/17.67 inference(unit_resolution,[status(thm)],[85, 82, 7])).
% 27.14/17.67 tff(87,plain,
% 27.14/17.67 (v180(constB199)),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[86, 72])).
% 27.14/17.67 tff(88,assumption,(v26(constB181)), introduced(assumption)).
% 27.14/17.67 tff(89,plain,
% 27.14/17.67 (^[VarCurr: state_type] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 27.14/17.67 inference(bind,[status(th)],[])).
% 27.14/17.67 tff(90,plain,
% 27.14/17.67 (![VarCurr: state_type] : (~v26(VarCurr)) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 27.14/17.67 inference(quant_intro,[status(thm)],[89])).
% 27.14/17.67 tff(91,plain,
% 27.14/17.67 (![VarCurr: state_type] : (~v26(VarCurr)) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(92,axiom,(![VarCurr: state_type] : (~v26(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_1_1_1')).
% 27.14/17.67 tff(93,plain,
% 27.14/17.67 (![VarCurr: state_type] : (~v26(VarCurr))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[92, 91])).
% 27.14/17.67 tff(94,plain,(
% 27.14/17.67 ![VarCurr: state_type] : (~v26(VarCurr))),
% 27.14/17.67 inference(skolemize,[status(sab)],[93])).
% 27.14/17.67 tff(95,plain,
% 27.14/17.67 (![VarCurr: state_type] : (~v26(VarCurr))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[94, 90])).
% 27.14/17.67 tff(96,plain,
% 27.14/17.67 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB181))),
% 27.14/17.67 inference(quant_inst,[status(thm)],[])).
% 27.14/17.67 tff(97,plain,
% 27.14/17.67 ($false),
% 27.14/17.67 inference(unit_resolution,[status(thm)],[96, 95, 88])).
% 27.14/17.67 tff(98,plain,(~v26(constB181)), inference(lemma,lemma(discharge,[]))).
% 27.14/17.67 tff(99,assumption,(v26(constB81)), introduced(assumption)).
% 27.14/17.67 tff(100,plain,
% 27.14/17.67 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB81))),
% 27.14/17.67 inference(quant_inst,[status(thm)],[])).
% 27.14/17.67 tff(101,plain,
% 27.14/17.67 ($false),
% 27.14/17.67 inference(unit_resolution,[status(thm)],[100, 95, 99])).
% 27.14/17.67 tff(102,plain,(~v26(constB81)), inference(lemma,lemma(discharge,[]))).
% 27.14/17.67 tff(103,assumption,(v26(constB79)), introduced(assumption)).
% 27.14/17.67 tff(104,plain,
% 27.14/17.67 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB79))),
% 27.14/17.67 inference(quant_inst,[status(thm)],[])).
% 27.14/17.67 tff(105,plain,
% 27.14/17.67 ($false),
% 27.14/17.67 inference(unit_resolution,[status(thm)],[104, 95, 103])).
% 27.14/17.67 tff(106,plain,(~v26(constB79)), inference(lemma,lemma(discharge,[]))).
% 27.14/17.67 tff(107,assumption,(v26(constB9)), introduced(assumption)).
% 27.14/17.67 tff(108,plain,
% 27.14/17.67 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB9))),
% 27.14/17.67 inference(quant_inst,[status(thm)],[])).
% 27.14/17.67 tff(109,plain,
% 27.14/17.67 ($false),
% 27.14/17.67 inference(unit_resolution,[status(thm)],[108, 95, 107])).
% 27.14/17.67 tff(110,plain,(~v26(constB9)), inference(lemma,lemma(discharge,[]))).
% 27.14/17.67 tff(111,assumption,(v26(constB7)), introduced(assumption)).
% 27.14/17.67 tff(112,plain,
% 27.14/17.67 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB7))),
% 27.14/17.67 inference(quant_inst,[status(thm)],[])).
% 27.14/17.67 tff(113,plain,
% 27.14/17.67 ($false),
% 27.14/17.67 inference(unit_resolution,[status(thm)],[112, 95, 111])).
% 27.14/17.67 tff(114,plain,(~v26(constB7)), inference(lemma,lemma(discharge,[]))).
% 27.14/17.67 tff(115,assumption,(v26(constB3)), introduced(assumption)).
% 27.14/17.67 tff(116,plain,
% 27.14/17.67 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB3))),
% 27.14/17.67 inference(quant_inst,[status(thm)],[])).
% 27.14/17.67 tff(117,plain,
% 27.14/17.67 ($false),
% 27.14/17.67 inference(unit_resolution,[status(thm)],[116, 95, 115])).
% 27.14/17.67 tff(118,plain,(~v26(constB3)), inference(lemma,lemma(discharge,[]))).
% 27.14/17.67 tff(119,assumption,(v26(constB1)), introduced(assumption)).
% 27.14/17.67 tff(120,plain,
% 27.14/17.67 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB1))),
% 27.14/17.67 inference(quant_inst,[status(thm)],[])).
% 27.14/17.67 tff(121,plain,
% 27.14/17.67 ($false),
% 27.14/17.67 inference(unit_resolution,[status(thm)],[120, 95, 119])).
% 27.14/17.67 tff(122,plain,(~v26(constB1)), inference(lemma,lemma(discharge,[]))).
% 27.14/17.67 tff(123,plain,
% 27.14/17.67 ((~v1(constB1)) <=> (~v1(constB1))),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(124,axiom,(~v1(constB1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_1_1_1')).
% 27.14/17.67 tff(125,plain,
% 27.14/17.67 (~v1(constB1)),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[124, 123])).
% 27.14/17.67 tff(126,plain,
% 27.14/17.67 (nextState(constB0, constB1) <=> nextState(constB0, constB1)),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(127,axiom,(nextState(constB0, constB1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_200')).
% 27.14/17.67 tff(128,plain,
% 27.14/17.67 (nextState(constB0, constB1)),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[127, 126])).
% 27.14/17.67 tff(129,plain,
% 27.14/17.67 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)))),
% 27.14/17.67 inference(bind,[status(th)],[])).
% 27.14/17.67 tff(130,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 27.14/17.67 inference(quant_intro,[status(thm)],[129])).
% 27.14/17.67 tff(131,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(132,plain,
% 27.14/17.67 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))), ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))))),
% 27.14/17.67 inference(bind,[status(th)],[])).
% 27.14/17.67 tff(133,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 27.14/17.67 inference(quant_intro,[status(thm)],[132])).
% 27.14/17.67 tff(134,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_2')).
% 27.14/17.67 tff(135,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[134, 133])).
% 27.14/17.67 tff(136,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[135, 131])).
% 27.14/17.67 tff(137,plain,(
% 27.14/17.67 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 27.14/17.67 inference(skolemize,[status(sab)],[136])).
% 27.14/17.67 tff(138,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[137, 130])).
% 27.14/17.67 tff(139,plain,
% 27.14/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(140,plain,
% 27.14/17.67 (((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1)) <=> (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(141,plain,
% 27.14/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1))))),
% 27.14/17.67 inference(monotonicity,[status(thm)],[140])).
% 27.14/17.67 tff(142,plain,
% 27.14/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 27.14/17.67 inference(transitivity,[status(thm)],[141, 139])).
% 27.14/17.67 tff(143,plain,
% 27.14/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))),
% 27.14/17.67 inference(quant_inst,[status(thm)],[])).
% 27.14/17.67 tff(144,plain,
% 27.14/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[143, 142])).
% 27.14/17.67 tff(145,plain,
% 27.14/17.67 (~v101(constB1)),
% 27.14/17.67 inference(unit_resolution,[status(thm)],[144, 138, 128, 125])).
% 27.14/17.67 tff(146,plain,
% 27.14/17.67 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))))),
% 27.14/17.67 inference(bind,[status(th)],[])).
% 27.14/17.67 tff(147,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 27.14/17.67 inference(quant_intro,[status(thm)],[146])).
% 27.14/17.67 tff(148,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(149,plain,
% 27.14/17.67 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v100(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))))),
% 27.14/17.67 inference(bind,[status(th)],[])).
% 27.14/17.67 tff(150,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 27.14/17.67 inference(quant_intro,[status(thm)],[149])).
% 27.14/17.67 tff(151,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_3')).
% 27.14/17.67 tff(152,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[151, 150])).
% 27.14/17.67 tff(153,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[152, 148])).
% 27.14/17.67 tff(154,plain,(
% 27.14/17.67 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 27.14/17.67 inference(skolemize,[status(sab)],[153])).
% 27.14/17.67 tff(155,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[154, 147])).
% 27.14/17.67 tff(156,plain,
% 27.14/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(157,plain,
% 27.14/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))),
% 27.14/17.67 inference(quant_inst,[status(thm)],[])).
% 27.14/17.67 tff(158,plain,
% 27.14/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[157, 156])).
% 27.14/17.67 tff(159,plain,
% 27.14/17.67 (v101(constB1) | (~v100(constB1))),
% 27.14/17.67 inference(unit_resolution,[status(thm)],[158, 155, 128])).
% 27.14/17.67 tff(160,plain,
% 27.14/17.67 (~v100(constB1)),
% 27.14/17.67 inference(unit_resolution,[status(thm)],[159, 145])).
% 27.14/17.67 tff(161,plain,
% 27.14/17.67 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2))))),
% 27.14/17.67 inference(bind,[status(th)],[])).
% 27.14/17.67 tff(162,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 27.14/17.67 inference(quant_intro,[status(thm)],[161])).
% 27.14/17.67 tff(163,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(164,plain,
% 27.14/17.67 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 2)))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 2))))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))) | v90(VarCurr, 2)) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 2))) | v90(VarCurr, 2)))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 2))) | v90(VarCurr, 2)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))) | v90(VarCurr, 2)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))))),
% 27.14/17.67 inference(bind,[status(th)],[])).
% 27.14/17.67 tff(165,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))) | v90(VarCurr, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 27.14/17.67 inference(quant_intro,[status(thm)],[164])).
% 27.14/17.67 tff(166,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))) | v90(VarCurr, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_6')).
% 27.14/17.67 tff(167,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[166, 165])).
% 27.14/17.67 tff(168,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[167, 163])).
% 27.14/17.67 tff(169,plain,(
% 27.14/17.67 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 27.14/17.67 inference(skolemize,[status(sab)],[168])).
% 27.14/17.67 tff(170,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[169, 162])).
% 27.14/17.67 tff(171,plain,
% 27.14/17.67 ((~v90(constB0, 2)) <=> (~v90(constB0, 2))),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(172,axiom,(~v90(constB0, 2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_4_1_1')).
% 27.14/17.67 tff(173,plain,
% 27.14/17.67 (~v90(constB0, 2)),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[172, 171])).
% 27.14/17.67 tff(174,plain,
% 27.14/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB0, 2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB0, 2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 2)))),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(175,plain,
% 27.14/17.67 (((~nextState(constB0, constB1)) | v90(constB0, 2) | v100(constB1) | (~v90(constB1, 2))) <=> (v90(constB0, 2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 2)))),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(176,plain,
% 27.14/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB0, constB1)) | v90(constB0, 2) | v100(constB1) | (~v90(constB1, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB0, 2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 2))))),
% 27.14/17.67 inference(monotonicity,[status(thm)],[175])).
% 27.14/17.67 tff(177,plain,
% 27.14/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB0, constB1)) | v90(constB0, 2) | v100(constB1) | (~v90(constB1, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB0, 2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 2)))),
% 27.14/17.67 inference(transitivity,[status(thm)],[176, 174])).
% 27.14/17.67 tff(178,plain,
% 27.14/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB0, constB1)) | v90(constB0, 2) | v100(constB1) | (~v90(constB1, 2)))),
% 27.14/17.67 inference(quant_inst,[status(thm)],[])).
% 27.14/17.67 tff(179,plain,
% 27.14/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB0, 2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 2))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[178, 177])).
% 27.14/17.67 tff(180,plain,
% 27.14/17.67 (v100(constB1) | (~v90(constB1, 2))),
% 27.14/17.67 inference(unit_resolution,[status(thm)],[179, 173, 170, 128])).
% 27.14/17.67 tff(181,plain,
% 27.14/17.67 (~v90(constB1, 2)),
% 27.14/17.67 inference(unit_resolution,[status(thm)],[180, 160])).
% 27.14/17.67 tff(182,plain,
% 27.14/17.67 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1))))),
% 27.14/17.67 inference(bind,[status(th)],[])).
% 27.14/17.67 tff(183,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 27.14/17.67 inference(quant_intro,[status(thm)],[182])).
% 27.14/17.67 tff(184,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(185,plain,
% 27.14/17.67 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 1)))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 1))))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))) | v90(VarCurr, 1)) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 1))) | v90(VarCurr, 1)))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 1))) | v90(VarCurr, 1)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))) | v90(VarCurr, 1)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))))),
% 27.14/17.67 inference(bind,[status(th)],[])).
% 27.14/17.67 tff(186,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))) | v90(VarCurr, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 27.14/17.67 inference(quant_intro,[status(thm)],[185])).
% 27.14/17.67 tff(187,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))) | v90(VarCurr, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_4')).
% 27.14/17.67 tff(188,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[187, 186])).
% 27.14/17.67 tff(189,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[188, 184])).
% 27.14/17.67 tff(190,plain,(
% 27.14/17.67 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 27.14/17.67 inference(skolemize,[status(sab)],[189])).
% 27.14/17.67 tff(191,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[190, 183])).
% 27.14/17.67 tff(192,plain,
% 27.14/17.67 ((~v90(constB0, 1)) <=> (~v90(constB0, 1))),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(193,axiom,(~v90(constB0, 1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_3_1_1')).
% 27.14/17.67 tff(194,plain,
% 27.14/17.67 (~v90(constB0, 1)),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[193, 192])).
% 27.14/17.67 tff(195,plain,
% 27.14/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB0, 1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB0, 1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 1)))),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(196,plain,
% 27.14/17.67 (((~nextState(constB0, constB1)) | v90(constB0, 1) | v100(constB1) | (~v90(constB1, 1))) <=> (v90(constB0, 1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 1)))),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(197,plain,
% 27.14/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB0, constB1)) | v90(constB0, 1) | v100(constB1) | (~v90(constB1, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB0, 1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 1))))),
% 27.14/17.67 inference(monotonicity,[status(thm)],[196])).
% 27.14/17.67 tff(198,plain,
% 27.14/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB0, constB1)) | v90(constB0, 1) | v100(constB1) | (~v90(constB1, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB0, 1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 1)))),
% 27.14/17.67 inference(transitivity,[status(thm)],[197, 195])).
% 27.14/17.67 tff(199,plain,
% 27.14/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB0, constB1)) | v90(constB0, 1) | v100(constB1) | (~v90(constB1, 1)))),
% 27.14/17.67 inference(quant_inst,[status(thm)],[])).
% 27.14/17.67 tff(200,plain,
% 27.14/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB0, 1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 1))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[199, 198])).
% 27.14/17.67 tff(201,plain,
% 27.14/17.67 (v100(constB1) | (~v90(constB1, 1))),
% 27.14/17.67 inference(unit_resolution,[status(thm)],[200, 194, 191, 128])).
% 27.14/17.67 tff(202,plain,
% 27.14/17.67 (~v90(constB1, 1)),
% 27.14/17.67 inference(unit_resolution,[status(thm)],[201, 160])).
% 27.14/17.67 tff(203,plain,
% 27.14/17.67 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0))))),
% 27.14/17.67 inference(bind,[status(th)],[])).
% 27.14/17.67 tff(204,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 27.14/17.67 inference(quant_intro,[status(thm)],[203])).
% 27.14/17.67 tff(205,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 27.14/17.67 inference(rewrite,[status(thm)],[])).
% 27.14/17.67 tff(206,plain,
% 27.14/17.67 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 0)))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 0))))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))) | v90(VarCurr, 0)) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 0))) | v90(VarCurr, 0)))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 0))) | v90(VarCurr, 0)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))) | v90(VarCurr, 0)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))))),
% 27.14/17.67 inference(bind,[status(th)],[])).
% 27.14/17.67 tff(207,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))) | v90(VarCurr, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 27.14/17.67 inference(quant_intro,[status(thm)],[206])).
% 27.14/17.67 tff(208,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))) | v90(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_2')).
% 27.14/17.67 tff(209,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[208, 207])).
% 27.14/17.67 tff(210,plain,
% 27.14/17.67 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 27.14/17.67 inference(modus_ponens,[status(thm)],[209, 205])).
% 27.14/17.67 tff(211,plain,(
% 27.14/17.67 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 27.14/17.68 inference(skolemize,[status(sab)],[210])).
% 27.14/17.68 tff(212,plain,
% 27.14/17.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 27.14/17.68 inference(modus_ponens,[status(thm)],[211, 204])).
% 27.14/17.68 tff(213,plain,
% 27.14/17.68 ((~v90(constB0, 0)) <=> (~v90(constB0, 0))),
% 27.14/17.68 inference(rewrite,[status(thm)],[])).
% 27.14/17.68 tff(214,axiom,(~v90(constB0, 0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_2_1_1')).
% 27.14/17.68 tff(215,plain,
% 27.14/17.68 (~v90(constB0, 0)),
% 27.14/17.68 inference(modus_ponens,[status(thm)],[214, 213])).
% 27.14/17.68 tff(216,plain,
% 27.14/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB0, 0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB0, 0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 0)))),
% 27.14/17.68 inference(rewrite,[status(thm)],[])).
% 27.14/17.68 tff(217,plain,
% 27.14/17.68 (((~nextState(constB0, constB1)) | v90(constB0, 0) | v100(constB1) | (~v90(constB1, 0))) <=> (v90(constB0, 0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 0)))),
% 27.14/17.68 inference(rewrite,[status(thm)],[])).
% 27.14/17.68 tff(218,plain,
% 27.14/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB0, constB1)) | v90(constB0, 0) | v100(constB1) | (~v90(constB1, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB0, 0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 0))))),
% 27.14/17.68 inference(monotonicity,[status(thm)],[217])).
% 27.14/17.68 tff(219,plain,
% 27.14/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB0, constB1)) | v90(constB0, 0) | v100(constB1) | (~v90(constB1, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB0, 0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 0)))),
% 27.14/17.68 inference(transitivity,[status(thm)],[218, 216])).
% 27.14/17.68 tff(220,plain,
% 27.14/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB0, constB1)) | v90(constB0, 0) | v100(constB1) | (~v90(constB1, 0)))),
% 27.14/17.68 inference(quant_inst,[status(thm)],[])).
% 27.14/17.68 tff(221,plain,
% 27.14/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB0, 0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 0))),
% 27.14/17.68 inference(modus_ponens,[status(thm)],[220, 219])).
% 27.14/17.68 tff(222,plain,
% 27.14/17.68 (v100(constB1) | (~v90(constB1, 0))),
% 27.14/17.68 inference(unit_resolution,[status(thm)],[221, 215, 212, 128])).
% 27.14/17.68 tff(223,plain,
% 27.14/17.68 (~v90(constB1, 0)),
% 27.14/17.68 inference(unit_resolution,[status(thm)],[222, 160])).
% 27.14/17.68 tff(224,plain,
% 27.14/17.68 (^[VarCurr: state_type] : refl((v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2)) <=> (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2)))),
% 27.14/17.68 inference(bind,[status(th)],[])).
% 27.14/17.68 tff(225,plain,
% 27.14/17.68 (![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 27.14/17.68 inference(quant_intro,[status(thm)],[224])).
% 27.14/17.68 tff(226,plain,
% 27.14/17.68 (![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 27.14/17.68 inference(rewrite,[status(thm)],[])).
% 27.14/17.68 tff(227,plain,
% 27.14/17.68 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, 0) | v90(VarCurr, 1)) | v90(VarCurr, 2)) <=> (v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))), ((((v90(VarCurr, 0) | v90(VarCurr, 1)) | v90(VarCurr, 2)) | v119(VarCurr)) <=> ((v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2)) | v119(VarCurr)))), rewrite(((v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2)) | v119(VarCurr)) <=> (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))), ((((v90(VarCurr, 0) | v90(VarCurr, 1)) | v90(VarCurr, 2)) | v119(VarCurr)) <=> (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))))),
% 27.14/17.68 inference(bind,[status(th)],[])).
% 27.14/17.68 tff(228,plain,
% 27.14/17.68 (![VarCurr: state_type] : (((v90(VarCurr, 0) | v90(VarCurr, 1)) | v90(VarCurr, 2)) | v119(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 27.14/17.68 inference(quant_intro,[status(thm)],[227])).
% 27.14/17.68 tff(229,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 0) | v90(VarCurr, 1)) | v90(VarCurr, 2)) | v119(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_1')).
% 27.14/17.68 tff(230,plain,
% 27.14/17.68 (![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 27.14/17.68 inference(modus_ponens,[status(thm)],[229, 228])).
% 27.14/17.68 tff(231,plain,
% 27.14/17.68 (![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 27.14/17.68 inference(modus_ponens,[status(thm)],[230, 226])).
% 27.14/17.68 tff(232,plain,(
% 27.14/17.68 ![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 27.14/17.68 inference(skolemize,[status(sab)],[231])).
% 27.14/17.68 tff(233,plain,
% 27.14/17.68 (![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 27.14/17.68 inference(modus_ponens,[status(thm)],[232, 225])).
% 27.14/17.68 tff(234,plain,
% 27.14/17.68 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2) | v119(constB1))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2) | v119(constB1))),
% 27.14/17.68 inference(rewrite,[status(thm)],[])).
% 27.14/17.68 tff(235,plain,
% 27.14/17.68 ((v90(constB1, 0) | v119(constB1) | v90(constB1, 1) | v90(constB1, 2)) <=> (v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2) | v119(constB1))),
% 27.14/17.68 inference(rewrite,[status(thm)],[])).
% 27.14/17.68 tff(236,plain,
% 27.14/17.68 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB1, 0) | v119(constB1) | v90(constB1, 1) | v90(constB1, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2) | v119(constB1)))),
% 27.14/17.68 inference(monotonicity,[status(thm)],[235])).
% 27.14/17.68 tff(237,plain,
% 27.14/17.68 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB1, 0) | v119(constB1) | v90(constB1, 1) | v90(constB1, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2) | v119(constB1))),
% 27.14/17.68 inference(transitivity,[status(thm)],[236, 234])).
% 27.14/17.68 tff(238,plain,
% 27.14/17.68 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB1, 0) | v119(constB1) | v90(constB1, 1) | v90(constB1, 2))),
% 27.14/17.68 inference(quant_inst,[status(thm)],[])).
% 27.14/17.68 tff(239,plain,
% 27.14/17.68 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2) | v119(constB1)),
% 27.14/17.68 inference(modus_ponens,[status(thm)],[238, 237])).
% 27.14/17.68 tff(240,plain,
% 27.14/17.68 (v119(constB1)),
% 27.14/17.68 inference(unit_resolution,[status(thm)],[239, 233, 223, 202, 181])).
% 27.14/17.68 tff(241,plain,
% 27.14/17.68 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | v118(VarCurr)) <=> ((~v119(VarCurr)) | v118(VarCurr)))),
% 27.14/17.68 inference(bind,[status(th)],[])).
% 27.14/17.68 tff(242,plain,
% 27.14/17.68 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 27.14/17.68 inference(quant_intro,[status(thm)],[241])).
% 27.14/17.68 tff(243,plain,
% 27.14/17.68 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 27.14/17.68 inference(rewrite,[status(thm)],[])).
% 27.14/17.68 tff(244,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_2')).
% 27.14/17.68 tff(245,plain,
% 27.14/17.68 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 27.14/17.68 inference(modus_ponens,[status(thm)],[244, 243])).
% 27.14/17.68 tff(246,plain,(
% 27.14/17.68 ![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 27.14/17.68 inference(skolemize,[status(sab)],[245])).
% 27.14/17.68 tff(247,plain,
% 27.14/17.68 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 27.14/17.68 inference(modus_ponens,[status(thm)],[246, 242])).
% 27.14/17.68 tff(248,plain,
% 27.14/17.68 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB1)) | v118(constB1))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB1)) | v118(constB1))),
% 27.14/17.68 inference(rewrite,[status(thm)],[])).
% 27.14/17.68 tff(249,plain,
% 27.14/17.68 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB1)) | v118(constB1))),
% 27.14/17.68 inference(quant_inst,[status(thm)],[])).
% 27.14/17.68 tff(250,plain,
% 27.14/17.68 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB1)) | v118(constB1)),
% 27.14/17.68 inference(modus_ponens,[status(thm)],[249, 248])).
% 27.14/17.68 tff(251,plain,
% 27.14/17.68 (v118(constB1)),
% 27.14/17.68 inference(unit_resolution,[status(thm)],[250, 247, 240])).
% 27.14/17.68 tff(252,plain,
% 27.14/17.68 (^[VarCurr: state_type] : refl(((~v118(VarCurr)) | v117(VarCurr)) <=> ((~v118(VarCurr)) | v117(VarCurr)))),
% 27.14/17.68 inference(bind,[status(th)],[])).
% 27.14/17.68 tff(253,plain,
% 27.14/17.68 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 27.14/17.68 inference(quant_intro,[status(thm)],[252])).
% 27.14/17.68 tff(254,plain,
% 27.14/17.68 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 27.14/17.68 inference(rewrite,[status(thm)],[])).
% 27.14/17.68 tff(255,axiom,(![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_2')).
% 27.14/17.68 tff(256,plain,
% 27.14/17.68 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 27.14/17.68 inference(modus_ponens,[status(thm)],[255, 254])).
% 27.14/17.68 tff(257,plain,(
% 27.14/17.68 ![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 27.14/17.68 inference(skolemize,[status(sab)],[256])).
% 27.14/17.68 tff(258,plain,
% 27.14/17.68 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 27.14/17.68 inference(modus_ponens,[status(thm)],[257, 253])).
% 27.14/17.68 tff(259,plain,
% 27.14/17.68 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB1) | (~v118(constB1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB1) | (~v118(constB1)))),
% 27.14/17.68 inference(rewrite,[status(thm)],[])).
% 27.14/17.68 tff(260,plain,
% 27.14/17.68 (((~v118(constB1)) | v117(constB1)) <=> (v117(constB1) | (~v118(constB1)))),
% 27.14/17.68 inference(rewrite,[status(thm)],[])).
% 27.14/17.68 tff(261,plain,
% 27.14/17.68 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB1)) | v117(constB1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB1) | (~v118(constB1))))),
% 27.14/17.68 inference(monotonicity,[status(thm)],[260])).
% 27.14/17.68 tff(262,plain,
% 27.14/17.68 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB1)) | v117(constB1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB1) | (~v118(constB1)))),
% 27.14/17.68 inference(transitivity,[status(thm)],[261, 259])).
% 27.14/17.68 tff(263,plain,
% 27.14/17.68 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB1)) | v117(constB1))),
% 27.14/17.68 inference(quant_inst,[status(thm)],[])).
% 27.14/17.68 tff(264,plain,
% 27.14/17.68 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB1) | (~v118(constB1))),
% 27.14/17.68 inference(modus_ponens,[status(thm)],[263, 262])).
% 27.14/17.68 tff(265,plain,
% 27.14/17.68 (v117(constB1)),
% 27.14/17.68 inference(unit_resolution,[status(thm)],[264, 258, 251])).
% 27.14/17.68 tff(266,plain,
% 27.14/17.68 (^[VarCurr: state_type] : refl(((~v117(VarCurr)) | v116(VarCurr)) <=> ((~v117(VarCurr)) | v116(VarCurr)))),
% 27.14/17.68 inference(bind,[status(th)],[])).
% 27.14/17.68 tff(267,plain,
% 27.14/17.68 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 27.14/17.68 inference(quant_intro,[status(thm)],[266])).
% 27.14/17.68 tff(268,plain,
% 27.14/17.68 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 27.14/17.68 inference(rewrite,[status(thm)],[])).
% 27.14/17.68 tff(269,axiom,(![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_2')).
% 27.14/17.68 tff(270,plain,
% 27.14/17.68 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 27.14/17.68 inference(modus_ponens,[status(thm)],[269, 268])).
% 27.14/17.68 tff(271,plain,(
% 27.14/17.68 ![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 27.14/17.68 inference(skolemize,[status(sab)],[270])).
% 27.14/17.68 tff(272,plain,
% 27.14/17.68 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 27.14/17.68 inference(modus_ponens,[status(thm)],[271, 267])).
% 27.14/17.68 tff(273,plain,
% 27.14/17.68 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB1) | (~v117(constB1)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB1) | (~v117(constB1)))),
% 27.14/17.68 inference(rewrite,[status(thm)],[])).
% 27.14/17.68 tff(274,plain,
% 27.14/17.68 (((~v117(constB1)) | v116(constB1)) <=> (v116(constB1) | (~v117(constB1)))),
% 27.14/17.68 inference(rewrite,[status(thm)],[])).
% 27.14/17.68 tff(275,plain,
% 27.14/17.68 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB1)) | v116(constB1))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB1) | (~v117(constB1))))),
% 27.14/17.68 inference(monotonicity,[status(thm)],[274])).
% 27.14/17.68 tff(276,plain,
% 27.14/17.68 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB1)) | v116(constB1))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB1) | (~v117(constB1)))),
% 27.14/17.68 inference(transitivity,[status(thm)],[275, 273])).
% 27.14/17.68 tff(277,plain,
% 27.14/17.68 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB1)) | v116(constB1))),
% 27.14/17.68 inference(quant_inst,[status(thm)],[])).
% 27.14/17.68 tff(278,plain,
% 27.14/17.68 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB1) | (~v117(constB1))),
% 27.14/17.68 inference(modus_ponens,[status(thm)],[277, 276])).
% 27.14/17.68 tff(279,plain,
% 27.14/17.68 (v116(constB1)),
% 27.14/17.68 inference(unit_resolution,[status(thm)],[278, 272, 265])).
% 27.14/17.68 tff(280,plain,
% 27.14/17.68 (^[VarCurr: state_type] : refl(((~v116(VarCurr)) | v115(VarCurr)) <=> ((~v116(VarCurr)) | v115(VarCurr)))),
% 27.14/17.68 inference(bind,[status(th)],[])).
% 27.14/17.68 tff(281,plain,
% 27.14/17.68 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 27.14/17.68 inference(quant_intro,[status(thm)],[280])).
% 27.14/17.68 tff(282,plain,
% 27.14/17.68 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 27.14/17.68 inference(rewrite,[status(thm)],[])).
% 27.14/17.68 tff(283,axiom,(![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_2')).
% 27.14/17.68 tff(284,plain,
% 27.14/17.68 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 27.14/17.68 inference(modus_ponens,[status(thm)],[283, 282])).
% 27.14/17.68 tff(285,plain,(
% 27.14/17.68 ![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 27.14/17.68 inference(skolemize,[status(sab)],[284])).
% 27.14/17.68 tff(286,plain,
% 27.14/17.68 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 27.14/17.68 inference(modus_ponens,[status(thm)],[285, 281])).
% 27.14/17.68 tff(287,plain,
% 27.14/17.68 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB1) | (~v116(constB1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB1) | (~v116(constB1)))),
% 27.14/17.68 inference(rewrite,[status(thm)],[])).
% 27.14/17.68 tff(288,plain,
% 27.14/17.68 (((~v116(constB1)) | v115(constB1)) <=> (v115(constB1) | (~v116(constB1)))),
% 27.14/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(289,plain,
% 27.16/17.68 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB1)) | v115(constB1))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB1) | (~v116(constB1))))),
% 27.16/17.68 inference(monotonicity,[status(thm)],[288])).
% 27.16/17.68 tff(290,plain,
% 27.16/17.68 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB1)) | v115(constB1))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB1) | (~v116(constB1)))),
% 27.16/17.68 inference(transitivity,[status(thm)],[289, 287])).
% 27.16/17.68 tff(291,plain,
% 27.16/17.68 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB1)) | v115(constB1))),
% 27.16/17.68 inference(quant_inst,[status(thm)],[])).
% 27.16/17.68 tff(292,plain,
% 27.16/17.68 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB1) | (~v116(constB1))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[291, 290])).
% 27.16/17.68 tff(293,plain,
% 27.16/17.68 (v115(constB1)),
% 27.16/17.68 inference(unit_resolution,[status(thm)],[292, 286, 279])).
% 27.16/17.68 tff(294,plain,
% 27.16/17.68 (^[VarCurr: state_type] : refl(((~v115(VarCurr)) | v114(VarCurr)) <=> ((~v115(VarCurr)) | v114(VarCurr)))),
% 27.16/17.68 inference(bind,[status(th)],[])).
% 27.16/17.68 tff(295,plain,
% 27.16/17.68 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 27.16/17.68 inference(quant_intro,[status(thm)],[294])).
% 27.16/17.68 tff(296,plain,
% 27.16/17.68 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(297,axiom,(![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_2')).
% 27.16/17.68 tff(298,plain,
% 27.16/17.68 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[297, 296])).
% 27.16/17.68 tff(299,plain,(
% 27.16/17.68 ![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 27.16/17.68 inference(skolemize,[status(sab)],[298])).
% 27.16/17.68 tff(300,plain,
% 27.16/17.68 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[299, 295])).
% 27.16/17.68 tff(301,plain,
% 27.16/17.68 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB1) | (~v115(constB1)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB1) | (~v115(constB1)))),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(302,plain,
% 27.16/17.68 (((~v115(constB1)) | v114(constB1)) <=> (v114(constB1) | (~v115(constB1)))),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(303,plain,
% 27.16/17.68 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB1)) | v114(constB1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB1) | (~v115(constB1))))),
% 27.16/17.68 inference(monotonicity,[status(thm)],[302])).
% 27.16/17.68 tff(304,plain,
% 27.16/17.68 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB1)) | v114(constB1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB1) | (~v115(constB1)))),
% 27.16/17.68 inference(transitivity,[status(thm)],[303, 301])).
% 27.16/17.68 tff(305,plain,
% 27.16/17.68 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB1)) | v114(constB1))),
% 27.16/17.68 inference(quant_inst,[status(thm)],[])).
% 27.16/17.68 tff(306,plain,
% 27.16/17.68 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB1) | (~v115(constB1))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[305, 304])).
% 27.16/17.68 tff(307,plain,
% 27.16/17.68 (v114(constB1)),
% 27.16/17.68 inference(unit_resolution,[status(thm)],[306, 300, 293])).
% 27.16/17.68 tff(308,plain,
% 27.16/17.68 (^[VarCurr: state_type] : refl(((~v114(VarCurr)) | v113(VarCurr)) <=> ((~v114(VarCurr)) | v113(VarCurr)))),
% 27.16/17.68 inference(bind,[status(th)],[])).
% 27.16/17.68 tff(309,plain,
% 27.16/17.68 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 27.16/17.68 inference(quant_intro,[status(thm)],[308])).
% 27.16/17.68 tff(310,plain,
% 27.16/17.68 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(311,axiom,(![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_2')).
% 27.16/17.68 tff(312,plain,
% 27.16/17.68 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[311, 310])).
% 27.16/17.68 tff(313,plain,(
% 27.16/17.68 ![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 27.16/17.68 inference(skolemize,[status(sab)],[312])).
% 27.16/17.68 tff(314,plain,
% 27.16/17.68 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[313, 309])).
% 27.16/17.68 tff(315,plain,
% 27.16/17.68 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB1)) | v113(constB1))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB1)) | v113(constB1))),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(316,plain,
% 27.16/17.68 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB1)) | v113(constB1))),
% 27.16/17.68 inference(quant_inst,[status(thm)],[])).
% 27.16/17.68 tff(317,plain,
% 27.16/17.68 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB1)) | v113(constB1)),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[316, 315])).
% 27.16/17.68 tff(318,plain,
% 27.16/17.68 (v113(constB1)),
% 27.16/17.68 inference(unit_resolution,[status(thm)],[317, 314, 307])).
% 27.16/17.68 tff(319,plain,
% 27.16/17.68 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)))),
% 27.16/17.68 inference(bind,[status(th)],[])).
% 27.16/17.68 tff(320,plain,
% 27.16/17.68 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 27.16/17.68 inference(quant_intro,[status(thm)],[319])).
% 27.16/17.68 tff(321,plain,
% 27.16/17.68 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(322,plain,
% 27.16/17.68 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v113(VarCurr))) | v112(VarCurr)) <=> (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)))),
% 27.16/17.68 inference(bind,[status(th)],[])).
% 27.16/17.68 tff(323,plain,
% 27.16/17.68 (![VarCurr: state_type] : ((v26(VarCurr) | (~v113(VarCurr))) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 27.16/17.68 inference(quant_intro,[status(thm)],[322])).
% 27.16/17.68 tff(324,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v113(VarCurr))) | v112(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_1')).
% 27.16/17.68 tff(325,plain,
% 27.16/17.68 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[324, 323])).
% 27.16/17.68 tff(326,plain,
% 27.16/17.68 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[325, 321])).
% 27.16/17.68 tff(327,plain,(
% 27.16/17.68 ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 27.16/17.68 inference(skolemize,[status(sab)],[326])).
% 27.16/17.68 tff(328,plain,
% 27.16/17.68 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[327, 320])).
% 27.16/17.68 tff(329,plain,
% 27.16/17.68 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB1) | (~v113(constB1)) | v112(constB1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB1) | (~v113(constB1)) | v112(constB1))),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(330,plain,
% 27.16/17.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB1) | (~v113(constB1)) | v112(constB1))),
% 27.16/17.68 inference(quant_inst,[status(thm)],[])).
% 27.16/17.68 tff(331,plain,
% 27.16/17.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB1) | (~v113(constB1)) | v112(constB1)),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[330, 329])).
% 27.16/17.68 tff(332,plain,
% 27.16/17.68 (v26(constB1) | v112(constB1)),
% 27.16/17.68 inference(unit_resolution,[status(thm)],[331, 328, 318])).
% 27.16/17.68 tff(333,plain,
% 27.16/17.68 (v112(constB1)),
% 27.16/17.68 inference(unit_resolution,[status(thm)],[332, 122])).
% 27.16/17.68 tff(334,plain,
% 27.16/17.68 (^[VarCurr: state_type] : refl(((~v112(VarCurr)) | v108(VarCurr)) <=> ((~v112(VarCurr)) | v108(VarCurr)))),
% 27.16/17.68 inference(bind,[status(th)],[])).
% 27.16/17.68 tff(335,plain,
% 27.16/17.68 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 27.16/17.68 inference(quant_intro,[status(thm)],[334])).
% 27.16/17.68 tff(336,plain,
% 27.16/17.68 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(337,axiom,(![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_1')).
% 27.16/17.68 tff(338,plain,
% 27.16/17.68 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[337, 336])).
% 27.16/17.68 tff(339,plain,(
% 27.16/17.68 ![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 27.16/17.68 inference(skolemize,[status(sab)],[338])).
% 27.16/17.68 tff(340,plain,
% 27.16/17.68 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[339, 335])).
% 27.16/17.68 tff(341,plain,
% 27.16/17.68 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB1) | (~v112(constB1)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB1) | (~v112(constB1)))),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(342,plain,
% 27.16/17.68 (((~v112(constB1)) | v108(constB1)) <=> (v108(constB1) | (~v112(constB1)))),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(343,plain,
% 27.16/17.68 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB1)) | v108(constB1))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB1) | (~v112(constB1))))),
% 27.16/17.68 inference(monotonicity,[status(thm)],[342])).
% 27.16/17.68 tff(344,plain,
% 27.16/17.68 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB1)) | v108(constB1))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB1) | (~v112(constB1)))),
% 27.16/17.68 inference(transitivity,[status(thm)],[343, 341])).
% 27.16/17.68 tff(345,plain,
% 27.16/17.68 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB1)) | v108(constB1))),
% 27.16/17.68 inference(quant_inst,[status(thm)],[])).
% 27.16/17.68 tff(346,plain,
% 27.16/17.68 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB1) | (~v112(constB1))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[345, 344])).
% 27.16/17.68 tff(347,plain,
% 27.16/17.68 (v108(constB1)),
% 27.16/17.68 inference(unit_resolution,[status(thm)],[346, 340, 333])).
% 27.16/17.68 tff(348,plain,
% 27.16/17.68 (nextState(constB1, constB2) <=> nextState(constB1, constB2)),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(349,axiom,(nextState(constB1, constB2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_1_1')).
% 27.16/17.68 tff(350,plain,
% 27.16/17.68 (nextState(constB1, constB2)),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[349, 348])).
% 27.16/17.68 tff(351,plain,
% 27.16/17.68 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)))),
% 27.16/17.68 inference(bind,[status(th)],[])).
% 27.16/17.68 tff(352,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 27.16/17.68 inference(quant_intro,[status(thm)],[351])).
% 27.16/17.68 tff(353,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(354,plain,
% 27.16/17.68 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)))), ((((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))), ((((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))))),
% 27.16/17.68 inference(bind,[status(th)],[])).
% 27.16/17.68 tff(355,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 27.16/17.68 inference(quant_intro,[status(thm)],[354])).
% 27.16/17.68 tff(356,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_6_1_1')).
% 27.16/17.68 tff(357,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[356, 355])).
% 27.16/17.68 tff(358,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[357, 353])).
% 27.16/17.68 tff(359,plain,(
% 27.16/17.68 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 27.16/17.68 inference(skolemize,[status(sab)],[358])).
% 27.16/17.68 tff(360,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[359, 352])).
% 27.16/17.68 tff(361,plain,
% 27.16/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(362,plain,
% 27.16/17.68 (((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2)) <=> ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(363,plain,
% 27.16/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1))))),
% 27.16/17.68 inference(monotonicity,[status(thm)],[362])).
% 27.16/17.68 tff(364,plain,
% 27.16/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 27.16/17.68 inference(transitivity,[status(thm)],[363, 361])).
% 27.16/17.68 tff(365,plain,
% 27.16/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))),
% 27.16/17.68 inference(quant_inst,[status(thm)],[])).
% 27.16/17.68 tff(366,plain,
% 27.16/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[365, 364])).
% 27.16/17.68 tff(367,plain,
% 27.16/17.68 (v110(constB2) | (~v108(constB1))),
% 27.16/17.68 inference(unit_resolution,[status(thm)],[366, 360, 350])).
% 27.16/17.68 tff(368,plain,
% 27.16/17.68 (v110(constB2)),
% 27.16/17.68 inference(unit_resolution,[status(thm)],[367, 347])).
% 27.16/17.68 tff(369,plain,
% 27.16/17.68 (^[VarNext: state_type, VarCurr: state_type] : refl((v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))))),
% 27.16/17.68 inference(bind,[status(th)],[])).
% 27.16/17.68 tff(370,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 27.16/17.68 inference(quant_intro,[status(thm)],[369])).
% 27.16/17.68 tff(371,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(372,plain,
% 27.16/17.68 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v104(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))))),
% 27.16/17.68 inference(bind,[status(th)],[])).
% 27.16/17.68 tff(373,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 27.16/17.68 inference(quant_intro,[status(thm)],[372])).
% 27.16/17.68 tff(374,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_5_1_2')).
% 27.16/17.68 tff(375,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[374, 373])).
% 27.16/17.68 tff(376,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[375, 371])).
% 27.16/17.68 tff(377,plain,(
% 27.16/17.68 ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 27.16/17.68 inference(skolemize,[status(sab)],[376])).
% 27.16/17.68 tff(378,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[377, 370])).
% 27.16/17.68 tff(379,plain,
% 27.16/17.68 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(380,plain,
% 27.16/17.68 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))),
% 27.16/17.68 inference(quant_inst,[status(thm)],[])).
% 27.16/17.68 tff(381,plain,
% 27.16/17.68 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[380, 379])).
% 27.16/17.68 tff(382,plain,
% 27.16/17.68 (~v104(constB2)),
% 27.16/17.68 inference(unit_resolution,[status(thm)],[381, 378, 350, 125])).
% 27.16/17.68 tff(383,plain,
% 27.16/17.68 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)))),
% 27.16/17.68 inference(bind,[status(th)],[])).
% 27.16/17.68 tff(384,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 27.16/17.68 inference(quant_intro,[status(thm)],[383])).
% 27.16/17.68 tff(385,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(386,plain,
% 27.16/17.68 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v102(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext))), ((((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))), ((((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))))),
% 27.16/17.68 inference(bind,[status(th)],[])).
% 27.16/17.68 tff(387,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 27.16/17.68 inference(quant_intro,[status(thm)],[386])).
% 27.16/17.68 tff(388,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_12_1_2')).
% 27.16/17.68 tff(389,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[388, 387])).
% 27.16/17.68 tff(390,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[389, 385])).
% 27.16/17.68 tff(391,plain,(
% 27.16/17.68 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 27.16/17.68 inference(skolemize,[status(sab)],[390])).
% 27.16/17.68 tff(392,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[391, 384])).
% 27.16/17.68 tff(393,plain,
% 27.16/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(394,plain,
% 27.16/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))),
% 27.16/17.68 inference(quant_inst,[status(thm)],[])).
% 27.16/17.68 tff(395,plain,
% 27.16/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB1, constB2)) | v102(constB2) | v104(constB2)),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[394, 393])).
% 27.16/17.68 tff(396,plain,
% 27.16/17.68 (v102(constB2) | v104(constB2)),
% 27.16/17.68 inference(unit_resolution,[status(thm)],[395, 392, 350])).
% 27.16/17.68 tff(397,plain,
% 27.16/17.68 (v102(constB2)),
% 27.16/17.68 inference(unit_resolution,[status(thm)],[396, 382])).
% 27.16/17.68 tff(398,plain,
% 27.16/17.68 (v1(constB2) <=> v1(constB2)),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(399,axiom,(v1(constB2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_2_1')).
% 27.16/17.68 tff(400,plain,
% 27.16/17.68 (v1(constB2)),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[399, 398])).
% 27.16/17.68 tff(401,plain,
% 27.16/17.68 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))))),
% 27.16/17.68 inference(bind,[status(th)],[])).
% 27.16/17.68 tff(402,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 27.16/17.68 inference(quant_intro,[status(thm)],[401])).
% 27.16/17.68 tff(403,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(404,plain,
% 27.16/17.68 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) <=> (((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))))), rewrite((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarNext)) | (~v1(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarNext)) | (~v1(VarNext))))), (((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) | v101(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v102(VarNext)) | (~v1(VarNext))) | v101(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v102(VarNext)) | (~v1(VarNext))) | v101(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))), (((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) | v101(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))))),
% 27.16/17.68 inference(bind,[status(th)],[])).
% 27.16/17.68 tff(405,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) | v101(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 27.16/17.68 inference(quant_intro,[status(thm)],[404])).
% 27.16/17.68 tff(406,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) | v101(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_1')).
% 27.16/17.68 tff(407,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[406, 405])).
% 27.16/17.68 tff(408,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[407, 403])).
% 27.16/17.68 tff(409,plain,(
% 27.16/17.68 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 27.16/17.68 inference(skolemize,[status(sab)],[408])).
% 27.16/17.68 tff(410,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[409, 402])).
% 27.16/17.68 tff(411,plain,
% 27.16/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(412,plain,
% 27.16/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))),
% 27.16/17.68 inference(quant_inst,[status(thm)],[])).
% 27.16/17.68 tff(413,plain,
% 27.16/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[412, 411])).
% 27.16/17.68 tff(414,plain,
% 27.16/17.68 (v101(constB2) | (~v102(constB2))),
% 27.16/17.68 inference(unit_resolution,[status(thm)],[413, 410, 350, 400])).
% 27.16/17.68 tff(415,plain,
% 27.16/17.68 (v101(constB2)),
% 27.16/17.68 inference(unit_resolution,[status(thm)],[414, 397])).
% 27.16/17.68 tff(416,plain,
% 27.16/17.68 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)))),
% 27.16/17.68 inference(bind,[status(th)],[])).
% 27.16/17.68 tff(417,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 27.16/17.68 inference(quant_intro,[status(thm)],[416])).
% 27.16/17.68 tff(418,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(419,plain,
% 27.16/17.68 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) <=> (((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))))), rewrite((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext))))), (((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) | v100(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext))) | v100(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext))) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))), (((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))))),
% 27.16/17.68 inference(bind,[status(th)],[])).
% 27.16/17.68 tff(420,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) | v100(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 27.16/17.68 inference(quant_intro,[status(thm)],[419])).
% 27.16/17.68 tff(421,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) | v100(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_1')).
% 27.16/17.68 tff(422,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[421, 420])).
% 27.16/17.68 tff(423,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[422, 418])).
% 27.16/17.68 tff(424,plain,(
% 27.16/17.68 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 27.16/17.68 inference(skolemize,[status(sab)],[423])).
% 27.16/17.68 tff(425,plain,
% 27.16/17.68 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[424, 417])).
% 27.16/17.68 tff(426,plain,
% 27.16/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(427,plain,
% 27.16/17.68 (((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2)) <=> ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(428,plain,
% 27.16/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2))))),
% 27.16/17.68 inference(monotonicity,[status(thm)],[427])).
% 27.16/17.68 tff(429,plain,
% 27.16/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 27.16/17.68 inference(transitivity,[status(thm)],[428, 426])).
% 27.16/17.68 tff(430,plain,
% 27.16/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))),
% 27.16/17.68 inference(quant_inst,[status(thm)],[])).
% 27.16/17.68 tff(431,plain,
% 27.16/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[430, 429])).
% 27.16/17.68 tff(432,plain,
% 27.16/17.68 (v100(constB2) | (~v101(constB2)) | (~v110(constB2))),
% 27.16/17.68 inference(unit_resolution,[status(thm)],[431, 425, 350])).
% 27.16/17.68 tff(433,plain,
% 27.16/17.68 (v100(constB2) | (~v110(constB2))),
% 27.16/17.68 inference(unit_resolution,[status(thm)],[432, 415])).
% 27.16/17.68 tff(434,plain,
% 27.16/17.68 (v100(constB2)),
% 27.16/17.68 inference(unit_resolution,[status(thm)],[433, 368])).
% 27.16/17.68 tff(435,plain,
% 27.16/17.68 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v130(VarCurr, 2))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, 2))))),
% 27.16/17.68 inference(bind,[status(th)],[])).
% 27.16/17.68 tff(436,plain,
% 27.16/17.68 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))),
% 27.16/17.68 inference(quant_intro,[status(thm)],[435])).
% 27.16/17.68 tff(437,plain,
% 27.16/17.68 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(438,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_4_3')).
% 27.16/17.68 tff(439,plain,
% 27.16/17.68 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[438, 437])).
% 27.16/17.68 tff(440,plain,(
% 27.16/17.68 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))),
% 27.16/17.68 inference(skolemize,[status(sab)],[439])).
% 27.16/17.68 tff(441,plain,
% 27.16/17.68 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[440, 436])).
% 27.16/17.68 tff(442,plain,
% 27.16/17.68 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB1)) | (~v130(constB1, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB1)) | (~v130(constB1, 2)))),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(443,plain,
% 27.16/17.68 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB1)) | (~v130(constB1, 2)))),
% 27.16/17.68 inference(quant_inst,[status(thm)],[])).
% 27.16/17.68 tff(444,plain,
% 27.16/17.68 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB1)) | (~v130(constB1, 2))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[443, 442])).
% 27.16/17.68 tff(445,plain,
% 27.16/17.68 (~v130(constB1, 2)),
% 27.16/17.68 inference(unit_resolution,[status(thm)],[444, 441, 240])).
% 27.16/17.68 tff(446,plain,
% 27.16/17.68 (^[VarCurr: state_type] : refl((v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2))) <=> (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2))))),
% 27.16/17.68 inference(bind,[status(th)],[])).
% 27.16/17.68 tff(447,plain,
% 27.16/17.68 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 27.16/17.68 inference(quant_intro,[status(thm)],[446])).
% 27.16/17.68 tff(448,plain,
% 27.16/17.68 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(449,plain,
% 27.16/17.68 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v127(VarCurr, 2))) | v130(VarCurr, 2)) <=> (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2))))),
% 27.16/17.68 inference(bind,[status(th)],[])).
% 27.16/17.68 tff(450,plain,
% 27.16/17.68 (![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, 2))) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 27.16/17.68 inference(quant_intro,[status(thm)],[449])).
% 27.16/17.68 tff(451,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, 2))) | v130(VarCurr, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_6')).
% 27.16/17.68 tff(452,plain,
% 27.16/17.68 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[451, 450])).
% 27.16/17.68 tff(453,plain,
% 27.16/17.68 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[452, 448])).
% 27.16/17.68 tff(454,plain,(
% 27.16/17.68 ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 27.16/17.68 inference(skolemize,[status(sab)],[453])).
% 27.16/17.68 tff(455,plain,
% 27.16/17.68 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 27.16/17.68 inference(modus_ponens,[status(thm)],[454, 447])).
% 27.16/17.68 tff(456,plain,
% 27.16/17.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB1, 2)) | v26(constB1) | v130(constB1, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB1, 2)) | v26(constB1) | v130(constB1, 2))),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(457,plain,
% 27.16/17.68 ((v26(constB1) | v130(constB1, 2) | (~v127(constB1, 2))) <=> ((~v127(constB1, 2)) | v26(constB1) | v130(constB1, 2))),
% 27.16/17.68 inference(rewrite,[status(thm)],[])).
% 27.16/17.68 tff(458,plain,
% 27.16/17.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB1) | v130(constB1, 2) | (~v127(constB1, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB1, 2)) | v26(constB1) | v130(constB1, 2)))),
% 27.16/17.68 inference(monotonicity,[status(thm)],[457])).
% 27.16/17.68 tff(459,plain,
% 27.16/17.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB1) | v130(constB1, 2) | (~v127(constB1, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB1, 2)) | v26(constB1) | v130(constB1, 2))),
% 27.16/17.68 inference(transitivity,[status(thm)],[458, 456])).
% 27.16/17.68 tff(460,plain,
% 27.16/17.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB1) | v130(constB1, 2) | (~v127(constB1, 2)))),
% 27.16/17.69 inference(quant_inst,[status(thm)],[])).
% 27.16/17.69 tff(461,plain,
% 27.16/17.69 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB1, 2)) | v26(constB1) | v130(constB1, 2)),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[460, 459])).
% 27.16/17.69 tff(462,plain,
% 27.16/17.69 ((~v127(constB1, 2)) | v26(constB1)),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[461, 455, 445])).
% 27.16/17.69 tff(463,plain,
% 27.16/17.69 (~v127(constB1, 2)),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[462, 122])).
% 27.16/17.69 tff(464,plain,
% 27.16/17.69 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2))))),
% 27.16/17.69 inference(bind,[status(th)],[])).
% 27.16/17.69 tff(465,plain,
% 27.16/17.69 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 27.16/17.69 inference(quant_intro,[status(thm)],[464])).
% 27.16/17.69 tff(466,plain,
% 27.16/17.69 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(467,plain,
% 27.16/17.69 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 2))) | v127(VarCurr, 2)) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2))))),
% 27.16/17.69 inference(bind,[status(th)],[])).
% 27.16/17.69 tff(468,plain,
% 27.16/17.69 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 2))) | v127(VarCurr, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 27.16/17.69 inference(quant_intro,[status(thm)],[467])).
% 27.16/17.69 tff(469,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 2))) | v127(VarCurr, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_6')).
% 27.16/17.69 tff(470,plain,
% 27.16/17.69 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[469, 468])).
% 27.16/17.69 tff(471,plain,
% 27.16/17.69 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[470, 466])).
% 27.16/17.69 tff(472,plain,(
% 27.16/17.69 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 27.16/17.69 inference(skolemize,[status(sab)],[471])).
% 27.16/17.69 tff(473,plain,
% 27.16/17.69 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[472, 465])).
% 27.16/17.69 tff(474,plain,
% 27.16/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB1, constB2)) | v127(constB1, 2) | (~v129(constB2, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB1, constB2)) | v127(constB1, 2) | (~v129(constB2, 2)))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(475,plain,
% 27.16/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB1, constB2)) | v127(constB1, 2) | (~v129(constB2, 2)))),
% 27.16/17.69 inference(quant_inst,[status(thm)],[])).
% 27.16/17.69 tff(476,plain,
% 27.16/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB1, constB2)) | v127(constB1, 2) | (~v129(constB2, 2))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[475, 474])).
% 27.16/17.69 tff(477,plain,
% 27.16/17.69 (v127(constB1, 2) | (~v129(constB2, 2))),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[476, 473, 350])).
% 27.16/17.69 tff(478,plain,
% 27.16/17.69 (~v129(constB2, 2)),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[477, 463])).
% 27.16/17.69 tff(479,plain,
% 27.16/17.69 (^[VarNext: state_type] : refl(((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext))) <=> ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext))))),
% 27.16/17.69 inference(bind,[status(th)],[])).
% 27.16/17.69 tff(480,plain,
% 27.16/17.69 (![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext))) <=> ![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 27.16/17.69 inference(quant_intro,[status(thm)],[479])).
% 27.16/17.69 tff(481,plain,
% 27.16/17.69 (![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext))) <=> ![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(482,plain,
% 27.16/17.69 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v90(VarNext, 2))) | v129(VarNext, 2)) <=> ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext))))),
% 27.16/17.69 inference(bind,[status(th)],[])).
% 27.16/17.69 tff(483,plain,
% 27.16/17.69 (![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, 2))) | v129(VarNext, 2)) <=> ![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 27.16/17.69 inference(quant_intro,[status(thm)],[482])).
% 27.16/17.69 tff(484,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, 2))) | v129(VarNext, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_6')).
% 27.16/17.69 tff(485,plain,
% 27.16/17.69 (![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[484, 483])).
% 27.16/17.69 tff(486,plain,
% 27.16/17.69 (![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[485, 481])).
% 27.16/17.69 tff(487,plain,(
% 27.16/17.69 ![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 27.16/17.69 inference(skolemize,[status(sab)],[486])).
% 27.16/17.69 tff(488,plain,
% 27.16/17.69 (![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[487, 480])).
% 27.16/17.69 tff(489,plain,
% 27.16/17.69 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB2, 2)) | v129(constB2, 2) | (~v100(constB2)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB2, 2)) | v129(constB2, 2) | (~v100(constB2)))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(490,plain,
% 27.16/17.69 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB2, 2)) | v129(constB2, 2) | (~v100(constB2)))),
% 27.16/17.69 inference(quant_inst,[status(thm)],[])).
% 27.16/17.69 tff(491,plain,
% 27.16/17.69 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB2, 2)) | v129(constB2, 2) | (~v100(constB2))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[490, 489])).
% 27.16/17.69 tff(492,plain,
% 27.16/17.69 ((~v90(constB2, 2)) | (~v100(constB2))),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[491, 488, 478])).
% 27.16/17.69 tff(493,plain,
% 27.16/17.69 (~v90(constB2, 2)),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[492, 434])).
% 27.16/17.69 tff(494,plain,
% 27.16/17.69 ((~v1(constB3)) <=> (~v1(constB3))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(495,axiom,(~v1(constB3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_3_1_1')).
% 27.16/17.69 tff(496,plain,
% 27.16/17.69 (~v1(constB3)),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[495, 494])).
% 27.16/17.69 tff(497,plain,
% 27.16/17.69 (nextState(constB2, constB3) <=> nextState(constB2, constB3)),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(498,axiom,(nextState(constB2, constB3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_2_1')).
% 27.16/17.69 tff(499,plain,
% 27.16/17.69 (nextState(constB2, constB3)),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[498, 497])).
% 27.16/17.69 tff(500,plain,
% 27.16/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(501,plain,
% 27.16/17.69 (((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3)) <=> (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(502,plain,
% 27.16/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3))))),
% 27.16/17.69 inference(monotonicity,[status(thm)],[501])).
% 27.16/17.69 tff(503,plain,
% 27.16/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 27.16/17.69 inference(transitivity,[status(thm)],[502, 500])).
% 27.16/17.69 tff(504,plain,
% 27.16/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))),
% 27.16/17.69 inference(quant_inst,[status(thm)],[])).
% 27.16/17.69 tff(505,plain,
% 27.16/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[504, 503])).
% 27.16/17.69 tff(506,plain,
% 27.16/17.69 (~v101(constB3)),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[505, 138, 499, 496])).
% 27.16/17.69 tff(507,plain,
% 27.16/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(508,plain,
% 27.16/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))),
% 27.16/17.69 inference(quant_inst,[status(thm)],[])).
% 27.16/17.69 tff(509,plain,
% 27.16/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[508, 507])).
% 27.16/17.69 tff(510,plain,
% 27.16/17.69 (v101(constB3) | (~v100(constB3))),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[509, 155, 499])).
% 27.16/17.69 tff(511,plain,
% 27.16/17.69 (~v100(constB3)),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[510, 506])).
% 27.16/17.69 tff(512,plain,
% 27.16/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB2, 2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB2, 2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 2)))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(513,plain,
% 27.16/17.69 (((~nextState(constB2, constB3)) | v90(constB2, 2) | v100(constB3) | (~v90(constB3, 2))) <=> (v90(constB2, 2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 2)))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(514,plain,
% 27.16/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB2, constB3)) | v90(constB2, 2) | v100(constB3) | (~v90(constB3, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB2, 2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 2))))),
% 27.16/17.69 inference(monotonicity,[status(thm)],[513])).
% 27.16/17.69 tff(515,plain,
% 27.16/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB2, constB3)) | v90(constB2, 2) | v100(constB3) | (~v90(constB3, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB2, 2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 2)))),
% 27.16/17.69 inference(transitivity,[status(thm)],[514, 512])).
% 27.16/17.69 tff(516,plain,
% 27.16/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB2, constB3)) | v90(constB2, 2) | v100(constB3) | (~v90(constB3, 2)))),
% 27.16/17.69 inference(quant_inst,[status(thm)],[])).
% 27.16/17.69 tff(517,plain,
% 27.16/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB2, 2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 2))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[516, 515])).
% 27.16/17.69 tff(518,plain,
% 27.16/17.69 (v90(constB2, 2) | v100(constB3) | (~v90(constB3, 2))),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[517, 170, 499])).
% 27.16/17.69 tff(519,plain,
% 27.16/17.69 (v90(constB2, 2) | (~v90(constB3, 2))),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[518, 511])).
% 27.16/17.69 tff(520,plain,
% 27.16/17.69 (~v90(constB3, 2)),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[519, 493])).
% 27.16/17.69 tff(521,plain,
% 27.16/17.69 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v130(VarCurr, 1))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, 1))))),
% 27.16/17.69 inference(bind,[status(th)],[])).
% 27.16/17.69 tff(522,plain,
% 27.16/17.69 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))),
% 27.16/17.69 inference(quant_intro,[status(thm)],[521])).
% 27.16/17.69 tff(523,plain,
% 27.16/17.69 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(524,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_4_2')).
% 27.16/17.69 tff(525,plain,
% 27.16/17.69 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[524, 523])).
% 27.16/17.69 tff(526,plain,(
% 27.16/17.69 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))),
% 27.16/17.69 inference(skolemize,[status(sab)],[525])).
% 27.16/17.69 tff(527,plain,
% 27.16/17.69 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[526, 522])).
% 27.16/17.69 tff(528,plain,
% 27.16/17.69 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB1)) | (~v130(constB1, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB1)) | (~v130(constB1, 1)))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(529,plain,
% 27.16/17.69 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB1)) | (~v130(constB1, 1)))),
% 27.16/17.69 inference(quant_inst,[status(thm)],[])).
% 27.16/17.69 tff(530,plain,
% 27.16/17.69 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB1)) | (~v130(constB1, 1))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[529, 528])).
% 27.16/17.69 tff(531,plain,
% 27.16/17.69 (~v130(constB1, 1)),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[530, 527, 240])).
% 27.16/17.69 tff(532,plain,
% 27.16/17.69 (^[VarCurr: state_type] : refl((v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1))) <=> (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1))))),
% 27.16/17.69 inference(bind,[status(th)],[])).
% 27.16/17.69 tff(533,plain,
% 27.16/17.69 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 27.16/17.69 inference(quant_intro,[status(thm)],[532])).
% 27.16/17.69 tff(534,plain,
% 27.16/17.69 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(535,plain,
% 27.16/17.69 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v127(VarCurr, 1))) | v130(VarCurr, 1)) <=> (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1))))),
% 27.16/17.69 inference(bind,[status(th)],[])).
% 27.16/17.69 tff(536,plain,
% 27.16/17.69 (![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, 1))) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 27.16/17.69 inference(quant_intro,[status(thm)],[535])).
% 27.16/17.69 tff(537,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, 1))) | v130(VarCurr, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_4')).
% 27.16/17.69 tff(538,plain,
% 27.16/17.69 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[537, 536])).
% 27.16/17.69 tff(539,plain,
% 27.16/17.69 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[538, 534])).
% 27.16/17.69 tff(540,plain,(
% 27.16/17.69 ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 27.16/17.69 inference(skolemize,[status(sab)],[539])).
% 27.16/17.69 tff(541,plain,
% 27.16/17.69 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[540, 533])).
% 27.16/17.69 tff(542,plain,
% 27.16/17.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB1, 1)) | v26(constB1) | v130(constB1, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB1, 1)) | v26(constB1) | v130(constB1, 1))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(543,plain,
% 27.16/17.69 ((v26(constB1) | v130(constB1, 1) | (~v127(constB1, 1))) <=> ((~v127(constB1, 1)) | v26(constB1) | v130(constB1, 1))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(544,plain,
% 27.16/17.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB1) | v130(constB1, 1) | (~v127(constB1, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB1, 1)) | v26(constB1) | v130(constB1, 1)))),
% 27.16/17.69 inference(monotonicity,[status(thm)],[543])).
% 27.16/17.69 tff(545,plain,
% 27.16/17.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB1) | v130(constB1, 1) | (~v127(constB1, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB1, 1)) | v26(constB1) | v130(constB1, 1))),
% 27.16/17.69 inference(transitivity,[status(thm)],[544, 542])).
% 27.16/17.69 tff(546,plain,
% 27.16/17.69 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB1) | v130(constB1, 1) | (~v127(constB1, 1)))),
% 27.16/17.69 inference(quant_inst,[status(thm)],[])).
% 27.16/17.69 tff(547,plain,
% 27.16/17.69 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB1, 1)) | v26(constB1) | v130(constB1, 1)),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[546, 545])).
% 27.16/17.69 tff(548,plain,
% 27.16/17.69 ((~v127(constB1, 1)) | v26(constB1)),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[547, 541, 531])).
% 27.16/17.69 tff(549,plain,
% 27.16/17.69 (~v127(constB1, 1)),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[548, 122])).
% 27.16/17.69 tff(550,plain,
% 27.16/17.69 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1))))),
% 27.16/17.69 inference(bind,[status(th)],[])).
% 27.16/17.69 tff(551,plain,
% 27.16/17.69 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 27.16/17.69 inference(quant_intro,[status(thm)],[550])).
% 27.16/17.69 tff(552,plain,
% 27.16/17.69 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(553,plain,
% 27.16/17.69 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 1))) | v127(VarCurr, 1)) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1))))),
% 27.16/17.69 inference(bind,[status(th)],[])).
% 27.16/17.69 tff(554,plain,
% 27.16/17.69 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 1))) | v127(VarCurr, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 27.16/17.69 inference(quant_intro,[status(thm)],[553])).
% 27.16/17.69 tff(555,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 1))) | v127(VarCurr, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_4')).
% 27.16/17.69 tff(556,plain,
% 27.16/17.69 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[555, 554])).
% 27.16/17.69 tff(557,plain,
% 27.16/17.69 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[556, 552])).
% 27.16/17.69 tff(558,plain,(
% 27.16/17.69 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 27.16/17.69 inference(skolemize,[status(sab)],[557])).
% 27.16/17.69 tff(559,plain,
% 27.16/17.69 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[558, 551])).
% 27.16/17.69 tff(560,plain,
% 27.16/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB1, constB2)) | v127(constB1, 1) | (~v129(constB2, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB1, constB2)) | v127(constB1, 1) | (~v129(constB2, 1)))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(561,plain,
% 27.16/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB1, constB2)) | v127(constB1, 1) | (~v129(constB2, 1)))),
% 27.16/17.69 inference(quant_inst,[status(thm)],[])).
% 27.16/17.69 tff(562,plain,
% 27.16/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB1, constB2)) | v127(constB1, 1) | (~v129(constB2, 1))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[561, 560])).
% 27.16/17.69 tff(563,plain,
% 27.16/17.69 (v127(constB1, 1) | (~v129(constB2, 1))),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[562, 559, 350])).
% 27.16/17.69 tff(564,plain,
% 27.16/17.69 (~v129(constB2, 1)),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[563, 549])).
% 27.16/17.69 tff(565,plain,
% 27.16/17.69 (^[VarNext: state_type] : refl(((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1)) <=> ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1)))),
% 27.16/17.69 inference(bind,[status(th)],[])).
% 27.16/17.69 tff(566,plain,
% 27.16/17.69 (![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1)) <=> ![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 27.16/17.69 inference(quant_intro,[status(thm)],[565])).
% 27.16/17.69 tff(567,plain,
% 27.16/17.69 (![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1)) <=> ![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(568,plain,
% 27.16/17.69 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v90(VarNext, 1))) | v129(VarNext, 1)) <=> ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1)))),
% 27.16/17.69 inference(bind,[status(th)],[])).
% 27.16/17.69 tff(569,plain,
% 27.16/17.69 (![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, 1))) | v129(VarNext, 1)) <=> ![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 27.16/17.69 inference(quant_intro,[status(thm)],[568])).
% 27.16/17.69 tff(570,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, 1))) | v129(VarNext, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_4')).
% 27.16/17.69 tff(571,plain,
% 27.16/17.69 (![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[570, 569])).
% 27.16/17.69 tff(572,plain,
% 27.16/17.69 (![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[571, 567])).
% 27.16/17.69 tff(573,plain,(
% 27.16/17.69 ![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 27.16/17.69 inference(skolemize,[status(sab)],[572])).
% 27.16/17.69 tff(574,plain,
% 27.16/17.69 (![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[573, 566])).
% 27.16/17.69 tff(575,plain,
% 27.16/17.69 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB2, 1)) | v129(constB2, 1) | (~v100(constB2)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB2, 1)) | v129(constB2, 1) | (~v100(constB2)))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(576,plain,
% 27.16/17.69 (((~v90(constB2, 1)) | (~v100(constB2)) | v129(constB2, 1)) <=> ((~v90(constB2, 1)) | v129(constB2, 1) | (~v100(constB2)))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(577,plain,
% 27.16/17.69 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB2, 1)) | (~v100(constB2)) | v129(constB2, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB2, 1)) | v129(constB2, 1) | (~v100(constB2))))),
% 27.16/17.69 inference(monotonicity,[status(thm)],[576])).
% 27.16/17.69 tff(578,plain,
% 27.16/17.69 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB2, 1)) | (~v100(constB2)) | v129(constB2, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB2, 1)) | v129(constB2, 1) | (~v100(constB2)))),
% 27.16/17.69 inference(transitivity,[status(thm)],[577, 575])).
% 27.16/17.69 tff(579,plain,
% 27.16/17.69 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB2, 1)) | (~v100(constB2)) | v129(constB2, 1))),
% 27.16/17.69 inference(quant_inst,[status(thm)],[])).
% 27.16/17.69 tff(580,plain,
% 27.16/17.69 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB2, 1)) | v129(constB2, 1) | (~v100(constB2))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[579, 578])).
% 27.16/17.69 tff(581,plain,
% 27.16/17.69 ((~v90(constB2, 1)) | (~v100(constB2))),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[580, 574, 564])).
% 27.16/17.69 tff(582,plain,
% 27.16/17.69 (~v90(constB2, 1)),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[581, 434])).
% 27.16/17.69 tff(583,plain,
% 27.16/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB2, 1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB2, 1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 1)))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(584,plain,
% 27.16/17.69 (((~nextState(constB2, constB3)) | v90(constB2, 1) | v100(constB3) | (~v90(constB3, 1))) <=> (v90(constB2, 1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 1)))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(585,plain,
% 27.16/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB2, constB3)) | v90(constB2, 1) | v100(constB3) | (~v90(constB3, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB2, 1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 1))))),
% 27.16/17.69 inference(monotonicity,[status(thm)],[584])).
% 27.16/17.69 tff(586,plain,
% 27.16/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB2, constB3)) | v90(constB2, 1) | v100(constB3) | (~v90(constB3, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB2, 1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 1)))),
% 27.16/17.69 inference(transitivity,[status(thm)],[585, 583])).
% 27.16/17.69 tff(587,plain,
% 27.16/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB2, constB3)) | v90(constB2, 1) | v100(constB3) | (~v90(constB3, 1)))),
% 27.16/17.69 inference(quant_inst,[status(thm)],[])).
% 27.16/17.69 tff(588,plain,
% 27.16/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB2, 1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 1))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[587, 586])).
% 27.16/17.69 tff(589,plain,
% 27.16/17.69 (v90(constB2, 1) | v100(constB3) | (~v90(constB3, 1))),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[588, 191, 499])).
% 27.16/17.69 tff(590,plain,
% 27.16/17.69 (v90(constB2, 1) | (~v90(constB3, 1))),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[589, 511])).
% 27.16/17.69 tff(591,plain,
% 27.16/17.69 (~v90(constB3, 1)),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[590, 582])).
% 27.16/17.69 tff(592,plain,
% 27.16/17.69 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | v130(VarCurr, 0)) <=> ((~v119(VarCurr)) | v130(VarCurr, 0)))),
% 27.16/17.69 inference(bind,[status(th)],[])).
% 27.16/17.69 tff(593,plain,
% 27.16/17.69 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))),
% 27.16/17.69 inference(quant_intro,[status(thm)],[592])).
% 27.16/17.69 tff(594,plain,
% 27.16/17.69 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(595,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_4_1')).
% 27.16/17.69 tff(596,plain,
% 27.16/17.69 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[595, 594])).
% 27.16/17.69 tff(597,plain,(
% 27.16/17.69 ![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))),
% 27.16/17.69 inference(skolemize,[status(sab)],[596])).
% 27.16/17.69 tff(598,plain,
% 27.16/17.69 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[597, 593])).
% 27.16/17.69 tff(599,plain,
% 27.16/17.69 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB1)) | v130(constB1, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB1)) | v130(constB1, 0))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(600,plain,
% 27.16/17.69 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB1)) | v130(constB1, 0))),
% 27.16/17.69 inference(quant_inst,[status(thm)],[])).
% 27.16/17.69 tff(601,plain,
% 27.16/17.69 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB1)) | v130(constB1, 0)),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[600, 599])).
% 27.16/17.69 tff(602,plain,
% 27.16/17.69 (v130(constB1, 0)),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[601, 598, 240])).
% 27.16/17.69 tff(603,plain,
% 27.16/17.69 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0)) <=> (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0)))),
% 27.16/17.69 inference(bind,[status(th)],[])).
% 27.16/17.69 tff(604,plain,
% 27.16/17.69 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 27.16/17.69 inference(quant_intro,[status(thm)],[603])).
% 27.16/17.69 tff(605,plain,
% 27.16/17.69 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(606,plain,
% 27.16/17.69 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v130(VarCurr, 0))) | v127(VarCurr, 0)) <=> (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0)))),
% 27.16/17.69 inference(bind,[status(th)],[])).
% 27.16/17.69 tff(607,plain,
% 27.16/17.69 (![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, 0))) | v127(VarCurr, 0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 27.16/17.69 inference(quant_intro,[status(thm)],[606])).
% 27.16/17.69 tff(608,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, 0))) | v127(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_1')).
% 27.16/17.69 tff(609,plain,
% 27.16/17.69 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[608, 607])).
% 27.16/17.69 tff(610,plain,
% 27.16/17.69 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[609, 605])).
% 27.16/17.69 tff(611,plain,(
% 27.16/17.69 ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 27.16/17.69 inference(skolemize,[status(sab)],[610])).
% 27.16/17.69 tff(612,plain,
% 27.16/17.69 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[611, 604])).
% 27.16/17.69 tff(613,plain,
% 27.16/17.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB1) | (~v130(constB1, 0)) | v127(constB1, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB1) | (~v130(constB1, 0)) | v127(constB1, 0))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(614,plain,
% 27.16/17.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB1) | (~v130(constB1, 0)) | v127(constB1, 0))),
% 27.16/17.69 inference(quant_inst,[status(thm)],[])).
% 27.16/17.69 tff(615,plain,
% 27.16/17.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB1) | (~v130(constB1, 0)) | v127(constB1, 0)),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[614, 613])).
% 27.16/17.69 tff(616,plain,
% 27.16/17.69 (v26(constB1) | v127(constB1, 0)),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[615, 612, 602])).
% 27.16/17.69 tff(617,plain,
% 27.16/17.69 (v127(constB1, 0)),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[616, 122])).
% 27.16/17.69 tff(618,plain,
% 27.16/17.69 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0)))),
% 27.16/17.69 inference(bind,[status(th)],[])).
% 27.16/17.69 tff(619,plain,
% 27.16/17.69 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 27.16/17.69 inference(quant_intro,[status(thm)],[618])).
% 27.16/17.69 tff(620,plain,
% 27.16/17.69 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(621,plain,
% 27.16/17.69 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0))) | v129(VarNext, 0)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0)))),
% 27.16/17.69 inference(bind,[status(th)],[])).
% 27.16/17.69 tff(622,plain,
% 27.16/17.69 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0))) | v129(VarNext, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 27.16/17.69 inference(quant_intro,[status(thm)],[621])).
% 27.16/17.69 tff(623,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0))) | v129(VarNext, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_1')).
% 27.16/17.69 tff(624,plain,
% 27.16/17.69 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[623, 622])).
% 27.16/17.69 tff(625,plain,
% 27.16/17.69 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[624, 620])).
% 27.16/17.69 tff(626,plain,(
% 27.16/17.69 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 27.16/17.69 inference(skolemize,[status(sab)],[625])).
% 27.16/17.69 tff(627,plain,
% 27.16/17.69 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[626, 619])).
% 27.16/17.69 tff(628,plain,
% 27.16/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB1, constB2)) | (~v127(constB1, 0)) | v129(constB2, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB1, constB2)) | (~v127(constB1, 0)) | v129(constB2, 0))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(629,plain,
% 27.16/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB1, constB2)) | (~v127(constB1, 0)) | v129(constB2, 0))),
% 27.16/17.69 inference(quant_inst,[status(thm)],[])).
% 27.16/17.69 tff(630,plain,
% 27.16/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB1, constB2)) | (~v127(constB1, 0)) | v129(constB2, 0)),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[629, 628])).
% 27.16/17.69 tff(631,plain,
% 27.16/17.69 ((~v127(constB1, 0)) | v129(constB2, 0)),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[630, 627, 350])).
% 27.16/17.69 tff(632,plain,
% 27.16/17.69 (v129(constB2, 0)),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[631, 617])).
% 27.16/17.69 tff(633,plain,
% 27.16/17.69 (^[VarNext: state_type] : refl((v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0))) <=> (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0))))),
% 27.16/17.69 inference(bind,[status(th)],[])).
% 27.16/17.69 tff(634,plain,
% 27.16/17.69 (![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0))) <=> ![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 27.16/17.69 inference(quant_intro,[status(thm)],[633])).
% 27.16/17.69 tff(635,plain,
% 27.16/17.69 (![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0))) <=> ![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(636,plain,
% 27.16/17.69 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v129(VarNext, 0))) | v90(VarNext, 0)) <=> (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0))))),
% 27.16/17.69 inference(bind,[status(th)],[])).
% 27.16/17.69 tff(637,plain,
% 27.16/17.69 (![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, 0))) | v90(VarNext, 0)) <=> ![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 27.16/17.69 inference(quant_intro,[status(thm)],[636])).
% 27.16/17.69 tff(638,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, 0))) | v90(VarNext, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_1')).
% 27.16/17.69 tff(639,plain,
% 27.16/17.69 (![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[638, 637])).
% 27.16/17.69 tff(640,plain,
% 27.16/17.69 (![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[639, 635])).
% 27.16/17.69 tff(641,plain,(
% 27.16/17.69 ![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 27.16/17.69 inference(skolemize,[status(sab)],[640])).
% 27.16/17.69 tff(642,plain,
% 27.16/17.69 (![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[641, 634])).
% 27.16/17.69 tff(643,plain,
% 27.16/17.69 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB2, 0) | (~v129(constB2, 0)) | (~v100(constB2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB2, 0) | (~v129(constB2, 0)) | (~v100(constB2)))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(644,plain,
% 27.16/17.69 ((v90(constB2, 0) | (~v100(constB2)) | (~v129(constB2, 0))) <=> (v90(constB2, 0) | (~v129(constB2, 0)) | (~v100(constB2)))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(645,plain,
% 27.16/17.69 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB2, 0) | (~v100(constB2)) | (~v129(constB2, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB2, 0) | (~v129(constB2, 0)) | (~v100(constB2))))),
% 27.16/17.69 inference(monotonicity,[status(thm)],[644])).
% 27.16/17.69 tff(646,plain,
% 27.16/17.69 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB2, 0) | (~v100(constB2)) | (~v129(constB2, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB2, 0) | (~v129(constB2, 0)) | (~v100(constB2)))),
% 27.16/17.69 inference(transitivity,[status(thm)],[645, 643])).
% 27.16/17.69 tff(647,plain,
% 27.16/17.69 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB2, 0) | (~v100(constB2)) | (~v129(constB2, 0)))),
% 27.16/17.69 inference(quant_inst,[status(thm)],[])).
% 27.16/17.69 tff(648,plain,
% 27.16/17.69 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB2, 0) | (~v129(constB2, 0)) | (~v100(constB2))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[647, 646])).
% 27.16/17.69 tff(649,plain,
% 27.16/17.69 (v90(constB2, 0) | (~v100(constB2))),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[648, 642, 632])).
% 27.16/17.69 tff(650,plain,
% 27.16/17.69 (v90(constB2, 0)),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[649, 434])).
% 27.16/17.69 tff(651,plain,
% 27.16/17.69 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0)))),
% 27.16/17.69 inference(bind,[status(th)],[])).
% 27.16/17.69 tff(652,plain,
% 27.16/17.69 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 27.16/17.69 inference(quant_intro,[status(thm)],[651])).
% 27.16/17.69 tff(653,plain,
% 27.16/17.69 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(654,plain,
% 27.16/17.69 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))) | v90(VarNext, 0)) <=> (((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext)) | v90(VarNext, 0)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext)) | v90(VarNext, 0)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))) | v90(VarNext, 0)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))))),
% 27.16/17.69 inference(bind,[status(th)],[])).
% 27.16/17.69 tff(655,plain,
% 27.16/17.69 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))) | v90(VarNext, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 27.16/17.69 inference(quant_intro,[status(thm)],[654])).
% 27.16/17.69 tff(656,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))) | v90(VarNext, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_1')).
% 27.16/17.69 tff(657,plain,
% 27.16/17.69 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[656, 655])).
% 27.16/17.69 tff(658,plain,
% 27.16/17.69 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[657, 653])).
% 27.16/17.69 tff(659,plain,(
% 27.16/17.69 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 27.16/17.69 inference(skolemize,[status(sab)],[658])).
% 27.16/17.69 tff(660,plain,
% 27.16/17.69 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[659, 652])).
% 27.16/17.69 tff(661,plain,
% 27.16/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB2, 0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB2, 0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, 0))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(662,plain,
% 27.16/17.69 (((~nextState(constB2, constB3)) | (~v90(constB2, 0)) | v100(constB3) | v90(constB3, 0)) <=> ((~v90(constB2, 0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, 0))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(663,plain,
% 27.16/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB2, constB3)) | (~v90(constB2, 0)) | v100(constB3) | v90(constB3, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB2, 0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, 0)))),
% 27.16/17.69 inference(monotonicity,[status(thm)],[662])).
% 27.16/17.69 tff(664,plain,
% 27.16/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB2, constB3)) | (~v90(constB2, 0)) | v100(constB3) | v90(constB3, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB2, 0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, 0))),
% 27.16/17.69 inference(transitivity,[status(thm)],[663, 661])).
% 27.16/17.69 tff(665,plain,
% 27.16/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB2, constB3)) | (~v90(constB2, 0)) | v100(constB3) | v90(constB3, 0))),
% 27.16/17.69 inference(quant_inst,[status(thm)],[])).
% 27.16/17.69 tff(666,plain,
% 27.16/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB2, 0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, 0)),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[665, 664])).
% 27.16/17.69 tff(667,plain,
% 27.16/17.69 ((~v90(constB2, 0)) | v100(constB3) | v90(constB3, 0)),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[666, 660, 499])).
% 27.16/17.69 tff(668,plain,
% 27.16/17.69 ((~v90(constB2, 0)) | v90(constB3, 0)),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[667, 511])).
% 27.16/17.69 tff(669,plain,
% 27.16/17.69 (v90(constB3, 0)),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[668, 650])).
% 27.16/17.69 tff(670,plain,
% 27.16/17.69 (^[VarCurr: state_type] : refl(((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr)) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr)))),
% 27.16/17.69 inference(bind,[status(th)],[])).
% 27.16/17.69 tff(671,plain,
% 27.16/17.69 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 27.16/17.69 inference(quant_intro,[status(thm)],[670])).
% 27.16/17.69 tff(672,plain,
% 27.16/17.69 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(673,plain,
% 27.16/17.69 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, 1) | v90(VarCurr, 2)) | (~v90(VarCurr, 0))) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2))), ((((v90(VarCurr, 1) | v90(VarCurr, 2)) | (~v90(VarCurr, 0))) | v120(VarCurr)) <=> (((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2)) | v120(VarCurr)))), rewrite((((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2)) | v120(VarCurr)) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))), ((((v90(VarCurr, 1) | v90(VarCurr, 2)) | (~v90(VarCurr, 0))) | v120(VarCurr)) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))))),
% 27.16/17.69 inference(bind,[status(th)],[])).
% 27.16/17.69 tff(674,plain,
% 27.16/17.69 (![VarCurr: state_type] : (((v90(VarCurr, 1) | v90(VarCurr, 2)) | (~v90(VarCurr, 0))) | v120(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 27.16/17.69 inference(quant_intro,[status(thm)],[673])).
% 27.16/17.69 tff(675,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 1) | v90(VarCurr, 2)) | (~v90(VarCurr, 0))) | v120(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_1')).
% 27.16/17.69 tff(676,plain,
% 27.16/17.69 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[675, 674])).
% 27.16/17.69 tff(677,plain,
% 27.16/17.69 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[676, 672])).
% 27.16/17.69 tff(678,plain,(
% 27.16/17.69 ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 27.16/17.69 inference(skolemize,[status(sab)],[677])).
% 27.16/17.69 tff(679,plain,
% 27.16/17.69 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[678, 671])).
% 27.16/17.69 tff(680,plain,
% 27.16/17.69 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB3, 0)) | v90(constB3, 1) | v90(constB3, 2) | v120(constB3))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB3, 0)) | v90(constB3, 1) | v90(constB3, 2) | v120(constB3))),
% 27.16/17.69 inference(rewrite,[status(thm)],[])).
% 27.16/17.69 tff(681,plain,
% 27.16/17.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB3, 0)) | v90(constB3, 1) | v90(constB3, 2) | v120(constB3))),
% 27.16/17.69 inference(quant_inst,[status(thm)],[])).
% 27.16/17.69 tff(682,plain,
% 27.16/17.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB3, 0)) | v90(constB3, 1) | v90(constB3, 2) | v120(constB3)),
% 27.16/17.69 inference(modus_ponens,[status(thm)],[681, 680])).
% 27.16/17.69 tff(683,plain,
% 27.16/17.69 (v120(constB3)),
% 27.16/17.69 inference(unit_resolution,[status(thm)],[682, 679, 669, 591, 520])).
% 27.16/17.69 tff(684,plain,
% 27.16/17.69 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | v118(VarCurr)) <=> ((~v120(VarCurr)) | v118(VarCurr)))),
% 27.16/17.69 inference(bind,[status(th)],[])).
% 27.16/17.69 tff(685,plain,
% 27.16/17.69 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 27.16/17.70 inference(quant_intro,[status(thm)],[684])).
% 27.16/17.70 tff(686,plain,
% 27.16/17.70 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(687,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_1')).
% 27.16/17.70 tff(688,plain,
% 27.16/17.70 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[687, 686])).
% 27.16/17.70 tff(689,plain,(
% 27.16/17.70 ![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 27.16/17.70 inference(skolemize,[status(sab)],[688])).
% 27.16/17.70 tff(690,plain,
% 27.16/17.70 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[689, 685])).
% 27.16/17.70 tff(691,plain,
% 27.16/17.70 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB3) | (~v120(constB3)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB3) | (~v120(constB3)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(692,plain,
% 27.16/17.70 (((~v120(constB3)) | v118(constB3)) <=> (v118(constB3) | (~v120(constB3)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(693,plain,
% 27.16/17.70 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB3)) | v118(constB3))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB3) | (~v120(constB3))))),
% 27.16/17.70 inference(monotonicity,[status(thm)],[692])).
% 27.16/17.70 tff(694,plain,
% 27.16/17.70 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB3)) | v118(constB3))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB3) | (~v120(constB3)))),
% 27.16/17.70 inference(transitivity,[status(thm)],[693, 691])).
% 27.16/17.70 tff(695,plain,
% 27.16/17.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB3)) | v118(constB3))),
% 27.16/17.70 inference(quant_inst,[status(thm)],[])).
% 27.16/17.70 tff(696,plain,
% 27.16/17.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB3) | (~v120(constB3))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[695, 694])).
% 27.16/17.70 tff(697,plain,
% 27.16/17.70 (v118(constB3)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[696, 690, 683])).
% 27.16/17.70 tff(698,plain,
% 27.16/17.70 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB3) | (~v118(constB3)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB3) | (~v118(constB3)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(699,plain,
% 27.16/17.70 (((~v118(constB3)) | v117(constB3)) <=> (v117(constB3) | (~v118(constB3)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(700,plain,
% 27.16/17.70 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB3)) | v117(constB3))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB3) | (~v118(constB3))))),
% 27.16/17.70 inference(monotonicity,[status(thm)],[699])).
% 27.16/17.70 tff(701,plain,
% 27.16/17.70 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB3)) | v117(constB3))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB3) | (~v118(constB3)))),
% 27.16/17.70 inference(transitivity,[status(thm)],[700, 698])).
% 27.16/17.70 tff(702,plain,
% 27.16/17.70 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB3)) | v117(constB3))),
% 27.16/17.70 inference(quant_inst,[status(thm)],[])).
% 27.16/17.70 tff(703,plain,
% 27.16/17.70 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB3) | (~v118(constB3))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[702, 701])).
% 27.16/17.70 tff(704,plain,
% 27.16/17.70 (v117(constB3)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[703, 258, 697])).
% 27.16/17.70 tff(705,plain,
% 27.16/17.70 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB3) | (~v117(constB3)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB3) | (~v117(constB3)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(706,plain,
% 27.16/17.70 (((~v117(constB3)) | v116(constB3)) <=> (v116(constB3) | (~v117(constB3)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(707,plain,
% 27.16/17.70 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB3)) | v116(constB3))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB3) | (~v117(constB3))))),
% 27.16/17.70 inference(monotonicity,[status(thm)],[706])).
% 27.16/17.70 tff(708,plain,
% 27.16/17.70 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB3)) | v116(constB3))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB3) | (~v117(constB3)))),
% 27.16/17.70 inference(transitivity,[status(thm)],[707, 705])).
% 27.16/17.70 tff(709,plain,
% 27.16/17.70 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB3)) | v116(constB3))),
% 27.16/17.70 inference(quant_inst,[status(thm)],[])).
% 27.16/17.70 tff(710,plain,
% 27.16/17.70 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB3) | (~v117(constB3))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[709, 708])).
% 27.16/17.70 tff(711,plain,
% 27.16/17.70 (v116(constB3)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[710, 272, 704])).
% 27.16/17.70 tff(712,plain,
% 27.16/17.70 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB3) | (~v116(constB3)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB3) | (~v116(constB3)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(713,plain,
% 27.16/17.70 (((~v116(constB3)) | v115(constB3)) <=> (v115(constB3) | (~v116(constB3)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(714,plain,
% 27.16/17.70 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB3)) | v115(constB3))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB3) | (~v116(constB3))))),
% 27.16/17.70 inference(monotonicity,[status(thm)],[713])).
% 27.16/17.70 tff(715,plain,
% 27.16/17.70 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB3)) | v115(constB3))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB3) | (~v116(constB3)))),
% 27.16/17.70 inference(transitivity,[status(thm)],[714, 712])).
% 27.16/17.70 tff(716,plain,
% 27.16/17.70 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB3)) | v115(constB3))),
% 27.16/17.70 inference(quant_inst,[status(thm)],[])).
% 27.16/17.70 tff(717,plain,
% 27.16/17.70 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB3) | (~v116(constB3))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[716, 715])).
% 27.16/17.70 tff(718,plain,
% 27.16/17.70 (v115(constB3)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[717, 286, 711])).
% 27.16/17.70 tff(719,plain,
% 27.16/17.70 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB3) | (~v115(constB3)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB3) | (~v115(constB3)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(720,plain,
% 27.16/17.70 (((~v115(constB3)) | v114(constB3)) <=> (v114(constB3) | (~v115(constB3)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(721,plain,
% 27.16/17.70 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB3)) | v114(constB3))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB3) | (~v115(constB3))))),
% 27.16/17.70 inference(monotonicity,[status(thm)],[720])).
% 27.16/17.70 tff(722,plain,
% 27.16/17.70 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB3)) | v114(constB3))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB3) | (~v115(constB3)))),
% 27.16/17.70 inference(transitivity,[status(thm)],[721, 719])).
% 27.16/17.70 tff(723,plain,
% 27.16/17.70 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB3)) | v114(constB3))),
% 27.16/17.70 inference(quant_inst,[status(thm)],[])).
% 27.16/17.70 tff(724,plain,
% 27.16/17.70 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB3) | (~v115(constB3))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[723, 722])).
% 27.16/17.70 tff(725,plain,
% 27.16/17.70 (v114(constB3)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[724, 300, 718])).
% 27.16/17.70 tff(726,plain,
% 27.16/17.70 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB3)) | v113(constB3))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB3)) | v113(constB3))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(727,plain,
% 27.16/17.70 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB3)) | v113(constB3))),
% 27.16/17.70 inference(quant_inst,[status(thm)],[])).
% 27.16/17.70 tff(728,plain,
% 27.16/17.70 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB3)) | v113(constB3)),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[727, 726])).
% 27.16/17.70 tff(729,plain,
% 27.16/17.70 (v113(constB3)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[728, 314, 725])).
% 27.16/17.70 tff(730,plain,
% 27.16/17.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | (~v113(constB3)) | v112(constB3))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(731,plain,
% 27.16/17.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))),
% 27.16/17.70 inference(quant_inst,[status(thm)],[])).
% 27.16/17.70 tff(732,plain,
% 27.16/17.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | (~v113(constB3)) | v112(constB3)),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[731, 730])).
% 27.16/17.70 tff(733,plain,
% 27.16/17.70 (v26(constB3) | v112(constB3)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[732, 328, 729])).
% 27.16/17.70 tff(734,plain,
% 27.16/17.70 (v112(constB3)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[733, 118])).
% 27.16/17.70 tff(735,plain,
% 27.16/17.70 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB3) | (~v112(constB3)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v112(constB3)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(736,plain,
% 27.16/17.70 (((~v112(constB3)) | v108(constB3)) <=> (v108(constB3) | (~v112(constB3)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(737,plain,
% 27.16/17.70 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB3)) | v108(constB3))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB3) | (~v112(constB3))))),
% 27.16/17.70 inference(monotonicity,[status(thm)],[736])).
% 27.16/17.70 tff(738,plain,
% 27.16/17.70 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB3)) | v108(constB3))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v112(constB3)))),
% 27.16/17.70 inference(transitivity,[status(thm)],[737, 735])).
% 27.16/17.70 tff(739,plain,
% 27.16/17.70 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB3)) | v108(constB3))),
% 27.16/17.70 inference(quant_inst,[status(thm)],[])).
% 27.16/17.70 tff(740,plain,
% 27.16/17.70 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v112(constB3))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[739, 738])).
% 27.16/17.70 tff(741,plain,
% 27.16/17.70 (v108(constB3)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[740, 340, 734])).
% 27.16/17.70 tff(742,plain,
% 27.16/17.70 (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(743,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_3_1')).
% 27.16/17.70 tff(744,plain,
% 27.16/17.70 (nextState(constB3, constB4)),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[743, 742])).
% 27.16/17.70 tff(745,plain,
% 27.16/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(746,plain,
% 27.16/17.70 (((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4)) <=> ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(747,plain,
% 27.16/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3))))),
% 27.16/17.70 inference(monotonicity,[status(thm)],[746])).
% 27.16/17.70 tff(748,plain,
% 27.16/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 27.16/17.70 inference(transitivity,[status(thm)],[747, 745])).
% 27.16/17.70 tff(749,plain,
% 27.16/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))),
% 27.16/17.70 inference(quant_inst,[status(thm)],[])).
% 27.16/17.70 tff(750,plain,
% 27.16/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[749, 748])).
% 27.16/17.70 tff(751,plain,
% 27.16/17.70 (v110(constB4) | (~v108(constB3))),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[750, 360, 744])).
% 27.16/17.70 tff(752,plain,
% 27.16/17.70 (v110(constB4)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[751, 741])).
% 27.16/17.70 tff(753,plain,
% 27.16/17.70 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(754,plain,
% 27.16/17.70 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))),
% 27.16/17.70 inference(quant_inst,[status(thm)],[])).
% 27.16/17.70 tff(755,plain,
% 27.16/17.70 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[754, 753])).
% 27.16/17.70 tff(756,plain,
% 27.16/17.70 (~v104(constB4)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[755, 378, 744, 496])).
% 27.16/17.70 tff(757,plain,
% 27.16/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(758,plain,
% 27.16/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))),
% 27.16/17.70 inference(quant_inst,[status(thm)],[])).
% 27.16/17.70 tff(759,plain,
% 27.16/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB3, constB4)) | v102(constB4) | v104(constB4)),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[758, 757])).
% 27.16/17.70 tff(760,plain,
% 27.16/17.70 (v102(constB4) | v104(constB4)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[759, 392, 744])).
% 27.16/17.70 tff(761,plain,
% 27.16/17.70 (v102(constB4)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[760, 756])).
% 27.16/17.70 tff(762,plain,
% 27.16/17.70 (v1(constB4) <=> v1(constB4)),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(763,axiom,(v1(constB4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_4_1')).
% 27.16/17.70 tff(764,plain,
% 27.16/17.70 (v1(constB4)),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[763, 762])).
% 27.16/17.70 tff(765,plain,
% 27.16/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(766,plain,
% 27.16/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))),
% 27.16/17.70 inference(quant_inst,[status(thm)],[])).
% 27.16/17.70 tff(767,plain,
% 27.16/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[766, 765])).
% 27.16/17.70 tff(768,plain,
% 27.16/17.70 (v101(constB4) | (~v102(constB4))),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[767, 410, 744, 764])).
% 27.16/17.70 tff(769,plain,
% 27.16/17.70 (v101(constB4)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[768, 761])).
% 27.16/17.70 tff(770,plain,
% 27.16/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(771,plain,
% 27.16/17.70 (((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4)) <=> ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(772,plain,
% 27.16/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4))))),
% 27.16/17.70 inference(monotonicity,[status(thm)],[771])).
% 27.16/17.70 tff(773,plain,
% 27.16/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 27.16/17.70 inference(transitivity,[status(thm)],[772, 770])).
% 27.16/17.70 tff(774,plain,
% 27.16/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))),
% 27.16/17.70 inference(quant_inst,[status(thm)],[])).
% 27.16/17.70 tff(775,plain,
% 27.16/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[774, 773])).
% 27.16/17.70 tff(776,plain,
% 27.16/17.70 (v100(constB4) | (~v101(constB4)) | (~v110(constB4))),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[775, 425, 744])).
% 27.16/17.70 tff(777,plain,
% 27.16/17.70 (v100(constB4) | (~v110(constB4))),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[776, 769])).
% 27.16/17.70 tff(778,plain,
% 27.16/17.70 (v100(constB4)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[777, 752])).
% 27.16/17.70 tff(779,plain,
% 27.16/17.70 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v130(VarCurr, 2))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, 2))))),
% 27.16/17.70 inference(bind,[status(th)],[])).
% 27.16/17.70 tff(780,plain,
% 27.16/17.70 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))),
% 27.16/17.70 inference(quant_intro,[status(thm)],[779])).
% 27.16/17.70 tff(781,plain,
% 27.16/17.70 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(782,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_4_3')).
% 27.16/17.70 tff(783,plain,
% 27.16/17.70 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[782, 781])).
% 27.16/17.70 tff(784,plain,(
% 27.16/17.70 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))),
% 27.16/17.70 inference(skolemize,[status(sab)],[783])).
% 27.16/17.70 tff(785,plain,
% 27.16/17.70 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[784, 780])).
% 27.16/17.70 tff(786,plain,
% 27.16/17.70 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB3)) | (~v130(constB3, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB3)) | (~v130(constB3, 2)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(787,plain,
% 27.16/17.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB3)) | (~v130(constB3, 2)))),
% 27.16/17.70 inference(quant_inst,[status(thm)],[])).
% 27.16/17.70 tff(788,plain,
% 27.16/17.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB3)) | (~v130(constB3, 2))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[787, 786])).
% 27.16/17.70 tff(789,plain,
% 27.16/17.70 (~v130(constB3, 2)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[788, 785, 683])).
% 27.16/17.70 tff(790,plain,
% 27.16/17.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB3, 2)) | v26(constB3) | v130(constB3, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB3, 2)) | v26(constB3) | v130(constB3, 2))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(791,plain,
% 27.16/17.70 ((v26(constB3) | v130(constB3, 2) | (~v127(constB3, 2))) <=> ((~v127(constB3, 2)) | v26(constB3) | v130(constB3, 2))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(792,plain,
% 27.16/17.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB3) | v130(constB3, 2) | (~v127(constB3, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB3, 2)) | v26(constB3) | v130(constB3, 2)))),
% 27.16/17.70 inference(monotonicity,[status(thm)],[791])).
% 27.16/17.70 tff(793,plain,
% 27.16/17.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB3) | v130(constB3, 2) | (~v127(constB3, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB3, 2)) | v26(constB3) | v130(constB3, 2))),
% 27.16/17.70 inference(transitivity,[status(thm)],[792, 790])).
% 27.16/17.70 tff(794,plain,
% 27.16/17.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB3) | v130(constB3, 2) | (~v127(constB3, 2)))),
% 27.16/17.70 inference(quant_inst,[status(thm)],[])).
% 27.16/17.70 tff(795,plain,
% 27.16/17.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB3, 2)) | v26(constB3) | v130(constB3, 2)),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[794, 793])).
% 27.16/17.70 tff(796,plain,
% 27.16/17.70 ((~v127(constB3, 2)) | v26(constB3)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[795, 455, 789])).
% 27.16/17.70 tff(797,plain,
% 27.16/17.70 (~v127(constB3, 2)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[796, 118])).
% 27.16/17.70 tff(798,plain,
% 27.16/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB3, constB4)) | v127(constB3, 2) | (~v129(constB4, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB3, constB4)) | v127(constB3, 2) | (~v129(constB4, 2)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(799,plain,
% 27.16/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB3, constB4)) | v127(constB3, 2) | (~v129(constB4, 2)))),
% 27.16/17.70 inference(quant_inst,[status(thm)],[])).
% 27.16/17.70 tff(800,plain,
% 27.16/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB3, constB4)) | v127(constB3, 2) | (~v129(constB4, 2))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[799, 798])).
% 27.16/17.70 tff(801,plain,
% 27.16/17.70 (v127(constB3, 2) | (~v129(constB4, 2))),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[800, 473, 744])).
% 27.16/17.70 tff(802,plain,
% 27.16/17.70 (~v129(constB4, 2)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[801, 797])).
% 27.16/17.70 tff(803,plain,
% 27.16/17.70 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB4, 2)) | v129(constB4, 2) | (~v100(constB4)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB4, 2)) | v129(constB4, 2) | (~v100(constB4)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(804,plain,
% 27.16/17.70 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB4, 2)) | v129(constB4, 2) | (~v100(constB4)))),
% 27.16/17.70 inference(quant_inst,[status(thm)],[])).
% 27.16/17.70 tff(805,plain,
% 27.16/17.70 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB4, 2)) | v129(constB4, 2) | (~v100(constB4))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[804, 803])).
% 27.16/17.70 tff(806,plain,
% 27.16/17.70 ((~v90(constB4, 2)) | (~v100(constB4))),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[805, 488, 802])).
% 27.16/17.70 tff(807,plain,
% 27.16/17.70 (~v90(constB4, 2)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[806, 778])).
% 27.16/17.70 tff(808,plain,
% 27.16/17.70 ((~v1(constB5)) <=> (~v1(constB5))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(809,axiom,(~v1(constB5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_5_1_1')).
% 27.16/17.70 tff(810,plain,
% 27.16/17.70 (~v1(constB5)),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[809, 808])).
% 27.16/17.70 tff(811,plain,
% 27.16/17.70 (nextState(constB4, constB5) <=> nextState(constB4, constB5)),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(812,axiom,(nextState(constB4, constB5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_4_1')).
% 27.16/17.70 tff(813,plain,
% 27.16/17.70 (nextState(constB4, constB5)),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[812, 811])).
% 27.16/17.70 tff(814,plain,
% 27.16/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(815,plain,
% 27.16/17.70 (((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5)) <=> (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(816,plain,
% 27.16/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5))))),
% 27.16/17.70 inference(monotonicity,[status(thm)],[815])).
% 27.16/17.70 tff(817,plain,
% 27.16/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 27.16/17.70 inference(transitivity,[status(thm)],[816, 814])).
% 27.16/17.70 tff(818,plain,
% 27.16/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))),
% 27.16/17.70 inference(quant_inst,[status(thm)],[])).
% 27.16/17.70 tff(819,plain,
% 27.16/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[818, 817])).
% 27.16/17.70 tff(820,plain,
% 27.16/17.70 (~v101(constB5)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[819, 138, 813, 810])).
% 27.16/17.70 tff(821,plain,
% 27.16/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(822,plain,
% 27.16/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))),
% 27.16/17.70 inference(quant_inst,[status(thm)],[])).
% 27.16/17.70 tff(823,plain,
% 27.16/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[822, 821])).
% 27.16/17.70 tff(824,plain,
% 27.16/17.70 (v101(constB5) | (~v100(constB5))),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[823, 155, 813])).
% 27.16/17.70 tff(825,plain,
% 27.16/17.70 (~v100(constB5)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[824, 820])).
% 27.16/17.70 tff(826,plain,
% 27.16/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB4, 2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB4, 2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 2)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(827,plain,
% 27.16/17.70 (((~nextState(constB4, constB5)) | v90(constB4, 2) | v100(constB5) | (~v90(constB5, 2))) <=> (v90(constB4, 2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 2)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(828,plain,
% 27.16/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB4, constB5)) | v90(constB4, 2) | v100(constB5) | (~v90(constB5, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB4, 2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 2))))),
% 27.16/17.70 inference(monotonicity,[status(thm)],[827])).
% 27.16/17.70 tff(829,plain,
% 27.16/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB4, constB5)) | v90(constB4, 2) | v100(constB5) | (~v90(constB5, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB4, 2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 2)))),
% 27.16/17.70 inference(transitivity,[status(thm)],[828, 826])).
% 27.16/17.70 tff(830,plain,
% 27.16/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB4, constB5)) | v90(constB4, 2) | v100(constB5) | (~v90(constB5, 2)))),
% 27.16/17.70 inference(quant_inst,[status(thm)],[])).
% 27.16/17.70 tff(831,plain,
% 27.16/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB4, 2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 2))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[830, 829])).
% 27.16/17.70 tff(832,plain,
% 27.16/17.70 (v90(constB4, 2) | v100(constB5) | (~v90(constB5, 2))),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[831, 170, 813])).
% 27.16/17.70 tff(833,plain,
% 27.16/17.70 (v90(constB4, 2) | (~v90(constB5, 2))),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[832, 825])).
% 27.16/17.70 tff(834,plain,
% 27.16/17.70 (~v90(constB5, 2)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[833, 807])).
% 27.16/17.70 tff(835,plain,
% 27.16/17.70 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | v130(VarCurr, 1)) <=> ((~v120(VarCurr)) | v130(VarCurr, 1)))),
% 27.16/17.70 inference(bind,[status(th)],[])).
% 27.16/17.70 tff(836,plain,
% 27.16/17.70 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))),
% 27.16/17.70 inference(quant_intro,[status(thm)],[835])).
% 27.16/17.70 tff(837,plain,
% 27.16/17.70 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(838,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_4_2')).
% 27.16/17.70 tff(839,plain,
% 27.16/17.70 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[838, 837])).
% 27.16/17.70 tff(840,plain,(
% 27.16/17.70 ![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))),
% 27.16/17.70 inference(skolemize,[status(sab)],[839])).
% 27.16/17.70 tff(841,plain,
% 27.16/17.70 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[840, 836])).
% 27.16/17.70 tff(842,plain,
% 27.16/17.70 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB3)) | v130(constB3, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB3)) | v130(constB3, 1))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(843,plain,
% 27.16/17.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB3)) | v130(constB3, 1))),
% 27.16/17.70 inference(quant_inst,[status(thm)],[])).
% 27.16/17.70 tff(844,plain,
% 27.16/17.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB3)) | v130(constB3, 1)),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[843, 842])).
% 27.16/17.70 tff(845,plain,
% 27.16/17.70 (v130(constB3, 1)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[844, 841, 683])).
% 27.16/17.70 tff(846,plain,
% 27.16/17.70 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1)) <=> (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1)))),
% 27.16/17.70 inference(bind,[status(th)],[])).
% 27.16/17.70 tff(847,plain,
% 27.16/17.70 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 27.16/17.70 inference(quant_intro,[status(thm)],[846])).
% 27.16/17.70 tff(848,plain,
% 27.16/17.70 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(849,plain,
% 27.16/17.70 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v130(VarCurr, 1))) | v127(VarCurr, 1)) <=> (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1)))),
% 27.16/17.70 inference(bind,[status(th)],[])).
% 27.16/17.70 tff(850,plain,
% 27.16/17.70 (![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, 1))) | v127(VarCurr, 1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 27.16/17.70 inference(quant_intro,[status(thm)],[849])).
% 27.16/17.70 tff(851,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, 1))) | v127(VarCurr, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_3')).
% 27.16/17.70 tff(852,plain,
% 27.16/17.70 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[851, 850])).
% 27.16/17.70 tff(853,plain,
% 27.16/17.70 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[852, 848])).
% 27.16/17.70 tff(854,plain,(
% 27.16/17.70 ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 27.16/17.70 inference(skolemize,[status(sab)],[853])).
% 27.16/17.70 tff(855,plain,
% 27.16/17.70 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[854, 847])).
% 27.16/17.70 tff(856,plain,
% 27.16/17.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB3) | (~v130(constB3, 1)) | v127(constB3, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB3) | (~v130(constB3, 1)) | v127(constB3, 1))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(857,plain,
% 27.16/17.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB3) | (~v130(constB3, 1)) | v127(constB3, 1))),
% 27.16/17.70 inference(quant_inst,[status(thm)],[])).
% 27.16/17.70 tff(858,plain,
% 27.16/17.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB3) | (~v130(constB3, 1)) | v127(constB3, 1)),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[857, 856])).
% 27.16/17.70 tff(859,plain,
% 27.16/17.70 (v26(constB3) | v127(constB3, 1)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[858, 855, 845])).
% 27.16/17.70 tff(860,plain,
% 27.16/17.70 (v127(constB3, 1)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[859, 118])).
% 27.16/17.70 tff(861,plain,
% 27.16/17.70 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1)))),
% 27.16/17.70 inference(bind,[status(th)],[])).
% 27.16/17.70 tff(862,plain,
% 27.16/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 27.16/17.70 inference(quant_intro,[status(thm)],[861])).
% 27.16/17.70 tff(863,plain,
% 27.16/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(864,plain,
% 27.16/17.70 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1))) | v129(VarNext, 1)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1)))),
% 27.16/17.70 inference(bind,[status(th)],[])).
% 27.16/17.70 tff(865,plain,
% 27.16/17.70 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1))) | v129(VarNext, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 27.16/17.70 inference(quant_intro,[status(thm)],[864])).
% 27.16/17.70 tff(866,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1))) | v129(VarNext, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_3')).
% 27.16/17.70 tff(867,plain,
% 27.16/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[866, 865])).
% 27.16/17.70 tff(868,plain,
% 27.16/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[867, 863])).
% 27.16/17.70 tff(869,plain,(
% 27.16/17.70 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 27.16/17.70 inference(skolemize,[status(sab)],[868])).
% 27.16/17.70 tff(870,plain,
% 27.16/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[869, 862])).
% 27.16/17.70 tff(871,plain,
% 27.16/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB3, constB4)) | (~v127(constB3, 1)) | v129(constB4, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB3, constB4)) | (~v127(constB3, 1)) | v129(constB4, 1))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(872,plain,
% 27.16/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB3, constB4)) | (~v127(constB3, 1)) | v129(constB4, 1))),
% 27.16/17.70 inference(quant_inst,[status(thm)],[])).
% 27.16/17.70 tff(873,plain,
% 27.16/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB3, constB4)) | (~v127(constB3, 1)) | v129(constB4, 1)),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[872, 871])).
% 27.16/17.70 tff(874,plain,
% 27.16/17.70 ((~v127(constB3, 1)) | v129(constB4, 1)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[873, 870, 744])).
% 27.16/17.70 tff(875,plain,
% 27.16/17.70 (v129(constB4, 1)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[874, 860])).
% 27.16/17.70 tff(876,plain,
% 27.16/17.70 (^[VarNext: state_type] : refl((v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1))) <=> (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1))))),
% 27.16/17.70 inference(bind,[status(th)],[])).
% 27.16/17.70 tff(877,plain,
% 27.16/17.70 (![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1))) <=> ![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 27.16/17.70 inference(quant_intro,[status(thm)],[876])).
% 27.16/17.70 tff(878,plain,
% 27.16/17.70 (![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1))) <=> ![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(879,plain,
% 27.16/17.70 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v129(VarNext, 1))) | v90(VarNext, 1)) <=> (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1))))),
% 27.16/17.70 inference(bind,[status(th)],[])).
% 27.16/17.70 tff(880,plain,
% 27.16/17.70 (![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, 1))) | v90(VarNext, 1)) <=> ![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 27.16/17.70 inference(quant_intro,[status(thm)],[879])).
% 27.16/17.70 tff(881,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, 1))) | v90(VarNext, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_3')).
% 27.16/17.70 tff(882,plain,
% 27.16/17.70 (![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[881, 880])).
% 27.16/17.70 tff(883,plain,
% 27.16/17.70 (![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[882, 878])).
% 27.16/17.70 tff(884,plain,(
% 27.16/17.70 ![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 27.16/17.70 inference(skolemize,[status(sab)],[883])).
% 27.16/17.70 tff(885,plain,
% 27.16/17.70 (![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[884, 877])).
% 27.16/17.70 tff(886,plain,
% 27.16/17.70 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB4, 1) | (~v129(constB4, 1)) | (~v100(constB4)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB4, 1) | (~v129(constB4, 1)) | (~v100(constB4)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(887,plain,
% 27.16/17.70 ((v90(constB4, 1) | (~v100(constB4)) | (~v129(constB4, 1))) <=> (v90(constB4, 1) | (~v129(constB4, 1)) | (~v100(constB4)))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(888,plain,
% 27.16/17.70 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB4, 1) | (~v100(constB4)) | (~v129(constB4, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB4, 1) | (~v129(constB4, 1)) | (~v100(constB4))))),
% 27.16/17.70 inference(monotonicity,[status(thm)],[887])).
% 27.16/17.70 tff(889,plain,
% 27.16/17.70 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB4, 1) | (~v100(constB4)) | (~v129(constB4, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB4, 1) | (~v129(constB4, 1)) | (~v100(constB4)))),
% 27.16/17.70 inference(transitivity,[status(thm)],[888, 886])).
% 27.16/17.70 tff(890,plain,
% 27.16/17.70 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB4, 1) | (~v100(constB4)) | (~v129(constB4, 1)))),
% 27.16/17.70 inference(quant_inst,[status(thm)],[])).
% 27.16/17.70 tff(891,plain,
% 27.16/17.70 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB4, 1) | (~v129(constB4, 1)) | (~v100(constB4))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[890, 889])).
% 27.16/17.70 tff(892,plain,
% 27.16/17.70 (v90(constB4, 1) | (~v100(constB4))),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[891, 885, 875])).
% 27.16/17.70 tff(893,plain,
% 27.16/17.70 (v90(constB4, 1)),
% 27.16/17.70 inference(unit_resolution,[status(thm)],[892, 778])).
% 27.16/17.70 tff(894,plain,
% 27.16/17.70 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1)))),
% 27.16/17.70 inference(bind,[status(th)],[])).
% 27.16/17.70 tff(895,plain,
% 27.16/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 27.16/17.70 inference(quant_intro,[status(thm)],[894])).
% 27.16/17.70 tff(896,plain,
% 27.16/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 27.16/17.70 inference(rewrite,[status(thm)],[])).
% 27.16/17.70 tff(897,plain,
% 27.16/17.70 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))) | v90(VarNext, 1)) <=> (((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext)) | v90(VarNext, 1)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext)) | v90(VarNext, 1)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))) | v90(VarNext, 1)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))))),
% 27.16/17.70 inference(bind,[status(th)],[])).
% 27.16/17.70 tff(898,plain,
% 27.16/17.70 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))) | v90(VarNext, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 27.16/17.70 inference(quant_intro,[status(thm)],[897])).
% 27.16/17.70 tff(899,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))) | v90(VarNext, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_3')).
% 27.16/17.70 tff(900,plain,
% 27.16/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[899, 898])).
% 27.16/17.70 tff(901,plain,
% 27.16/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 27.16/17.70 inference(modus_ponens,[status(thm)],[900, 896])).
% 27.16/17.70 tff(902,plain,(
% 27.16/17.70 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 27.16/17.70 inference(skolemize,[status(sab)],[901])).
% 27.16/17.70 tff(903,plain,
% 27.16/17.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[902, 895])).
% 27.16/17.71 tff(904,plain,
% 27.16/17.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB4, 1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB4, 1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, 1))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(905,plain,
% 27.16/17.71 (((~nextState(constB4, constB5)) | (~v90(constB4, 1)) | v100(constB5) | v90(constB5, 1)) <=> ((~v90(constB4, 1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, 1))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(906,plain,
% 27.16/17.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, 1)) | v100(constB5) | v90(constB5, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB4, 1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, 1)))),
% 27.16/17.71 inference(monotonicity,[status(thm)],[905])).
% 27.16/17.71 tff(907,plain,
% 27.16/17.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, 1)) | v100(constB5) | v90(constB5, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB4, 1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, 1))),
% 27.16/17.71 inference(transitivity,[status(thm)],[906, 904])).
% 27.16/17.71 tff(908,plain,
% 27.16/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, 1)) | v100(constB5) | v90(constB5, 1))),
% 27.16/17.71 inference(quant_inst,[status(thm)],[])).
% 27.16/17.71 tff(909,plain,
% 27.16/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB4, 1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, 1)),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[908, 907])).
% 27.16/17.71 tff(910,plain,
% 27.16/17.71 ((~v90(constB4, 1)) | v100(constB5) | v90(constB5, 1)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[909, 903, 813])).
% 27.16/17.71 tff(911,plain,
% 27.16/17.71 ((~v90(constB4, 1)) | v90(constB5, 1)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[910, 825])).
% 27.16/17.71 tff(912,plain,
% 27.16/17.71 (v90(constB5, 1)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[911, 893])).
% 27.16/17.71 tff(913,plain,
% 27.16/17.71 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v130(VarCurr, 0))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, 0))))),
% 27.16/17.71 inference(bind,[status(th)],[])).
% 27.16/17.71 tff(914,plain,
% 27.16/17.71 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))),
% 27.16/17.71 inference(quant_intro,[status(thm)],[913])).
% 27.16/17.71 tff(915,plain,
% 27.16/17.71 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(916,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_4_1')).
% 27.16/17.71 tff(917,plain,
% 27.16/17.71 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[916, 915])).
% 27.16/17.71 tff(918,plain,(
% 27.16/17.71 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))),
% 27.16/17.71 inference(skolemize,[status(sab)],[917])).
% 27.16/17.71 tff(919,plain,
% 27.16/17.71 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[918, 914])).
% 27.16/17.71 tff(920,plain,
% 27.16/17.71 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB3)) | (~v130(constB3, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB3)) | (~v130(constB3, 0)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(921,plain,
% 27.16/17.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB3)) | (~v130(constB3, 0)))),
% 27.16/17.71 inference(quant_inst,[status(thm)],[])).
% 27.16/17.71 tff(922,plain,
% 27.16/17.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB3)) | (~v130(constB3, 0))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[921, 920])).
% 27.16/17.71 tff(923,plain,
% 27.16/17.71 (~v130(constB3, 0)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[922, 919, 683])).
% 27.16/17.71 tff(924,plain,
% 27.16/17.71 (^[VarCurr: state_type] : refl((v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0))) <=> (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0))))),
% 27.16/17.71 inference(bind,[status(th)],[])).
% 27.16/17.71 tff(925,plain,
% 27.16/17.71 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 27.16/17.71 inference(quant_intro,[status(thm)],[924])).
% 27.16/17.71 tff(926,plain,
% 27.16/17.71 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(927,plain,
% 27.16/17.71 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v127(VarCurr, 0))) | v130(VarCurr, 0)) <=> (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0))))),
% 27.16/17.71 inference(bind,[status(th)],[])).
% 27.16/17.71 tff(928,plain,
% 27.16/17.71 (![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, 0))) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 27.16/17.71 inference(quant_intro,[status(thm)],[927])).
% 27.16/17.71 tff(929,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, 0))) | v130(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_2')).
% 27.16/17.71 tff(930,plain,
% 27.16/17.71 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[929, 928])).
% 27.16/17.71 tff(931,plain,
% 27.16/17.71 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[930, 926])).
% 27.16/17.71 tff(932,plain,(
% 27.16/17.71 ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 27.16/17.71 inference(skolemize,[status(sab)],[931])).
% 27.16/17.71 tff(933,plain,
% 27.16/17.71 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[932, 925])).
% 27.16/17.71 tff(934,plain,
% 27.16/17.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB3, 0)) | v26(constB3) | v130(constB3, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB3, 0)) | v26(constB3) | v130(constB3, 0))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(935,plain,
% 27.16/17.71 ((v26(constB3) | v130(constB3, 0) | (~v127(constB3, 0))) <=> ((~v127(constB3, 0)) | v26(constB3) | v130(constB3, 0))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(936,plain,
% 27.16/17.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB3) | v130(constB3, 0) | (~v127(constB3, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB3, 0)) | v26(constB3) | v130(constB3, 0)))),
% 27.16/17.71 inference(monotonicity,[status(thm)],[935])).
% 27.16/17.71 tff(937,plain,
% 27.16/17.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB3) | v130(constB3, 0) | (~v127(constB3, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB3, 0)) | v26(constB3) | v130(constB3, 0))),
% 27.16/17.71 inference(transitivity,[status(thm)],[936, 934])).
% 27.16/17.71 tff(938,plain,
% 27.16/17.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB3) | v130(constB3, 0) | (~v127(constB3, 0)))),
% 27.16/17.71 inference(quant_inst,[status(thm)],[])).
% 27.16/17.71 tff(939,plain,
% 27.16/17.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB3, 0)) | v26(constB3) | v130(constB3, 0)),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[938, 937])).
% 27.16/17.71 tff(940,plain,
% 27.16/17.71 ((~v127(constB3, 0)) | v26(constB3)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[939, 933, 923])).
% 27.16/17.71 tff(941,plain,
% 27.16/17.71 (~v127(constB3, 0)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[940, 118])).
% 27.16/17.71 tff(942,plain,
% 27.16/17.71 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0))))),
% 27.16/17.71 inference(bind,[status(th)],[])).
% 27.16/17.71 tff(943,plain,
% 27.16/17.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 27.16/17.71 inference(quant_intro,[status(thm)],[942])).
% 27.16/17.71 tff(944,plain,
% 27.16/17.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(945,plain,
% 27.16/17.71 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 0))) | v127(VarCurr, 0)) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0))))),
% 27.16/17.71 inference(bind,[status(th)],[])).
% 27.16/17.71 tff(946,plain,
% 27.16/17.71 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 0))) | v127(VarCurr, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 27.16/17.71 inference(quant_intro,[status(thm)],[945])).
% 27.16/17.71 tff(947,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 0))) | v127(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_2')).
% 27.16/17.71 tff(948,plain,
% 27.16/17.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[947, 946])).
% 27.16/17.71 tff(949,plain,
% 27.16/17.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[948, 944])).
% 27.16/17.71 tff(950,plain,(
% 27.16/17.71 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 27.16/17.71 inference(skolemize,[status(sab)],[949])).
% 27.16/17.71 tff(951,plain,
% 27.16/17.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[950, 943])).
% 27.16/17.71 tff(952,plain,
% 27.16/17.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB3, constB4)) | v127(constB3, 0) | (~v129(constB4, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB3, constB4)) | v127(constB3, 0) | (~v129(constB4, 0)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(953,plain,
% 27.16/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB3, constB4)) | v127(constB3, 0) | (~v129(constB4, 0)))),
% 27.16/17.71 inference(quant_inst,[status(thm)],[])).
% 27.16/17.71 tff(954,plain,
% 27.16/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB3, constB4)) | v127(constB3, 0) | (~v129(constB4, 0))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[953, 952])).
% 27.16/17.71 tff(955,plain,
% 27.16/17.71 (v127(constB3, 0) | (~v129(constB4, 0))),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[954, 951, 744])).
% 27.16/17.71 tff(956,plain,
% 27.16/17.71 (~v129(constB4, 0)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[955, 941])).
% 27.16/17.71 tff(957,plain,
% 27.16/17.71 (^[VarNext: state_type] : refl(((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0)) <=> ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0)))),
% 27.16/17.71 inference(bind,[status(th)],[])).
% 27.16/17.71 tff(958,plain,
% 27.16/17.71 (![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0)) <=> ![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 27.16/17.71 inference(quant_intro,[status(thm)],[957])).
% 27.16/17.71 tff(959,plain,
% 27.16/17.71 (![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0)) <=> ![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(960,plain,
% 27.16/17.71 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v90(VarNext, 0))) | v129(VarNext, 0)) <=> ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0)))),
% 27.16/17.71 inference(bind,[status(th)],[])).
% 27.16/17.71 tff(961,plain,
% 27.16/17.71 (![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, 0))) | v129(VarNext, 0)) <=> ![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 27.16/17.71 inference(quant_intro,[status(thm)],[960])).
% 27.16/17.71 tff(962,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, 0))) | v129(VarNext, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_2')).
% 27.16/17.71 tff(963,plain,
% 27.16/17.71 (![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[962, 961])).
% 27.16/17.71 tff(964,plain,
% 27.16/17.71 (![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[963, 959])).
% 27.16/17.71 tff(965,plain,(
% 27.16/17.71 ![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 27.16/17.71 inference(skolemize,[status(sab)],[964])).
% 27.16/17.71 tff(966,plain,
% 27.16/17.71 (![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[965, 958])).
% 27.16/17.71 tff(967,plain,
% 27.16/17.71 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB4, 0)) | v129(constB4, 0) | (~v100(constB4)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB4, 0)) | v129(constB4, 0) | (~v100(constB4)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(968,plain,
% 27.16/17.71 (((~v90(constB4, 0)) | (~v100(constB4)) | v129(constB4, 0)) <=> ((~v90(constB4, 0)) | v129(constB4, 0) | (~v100(constB4)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(969,plain,
% 27.16/17.71 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB4, 0)) | (~v100(constB4)) | v129(constB4, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB4, 0)) | v129(constB4, 0) | (~v100(constB4))))),
% 27.16/17.71 inference(monotonicity,[status(thm)],[968])).
% 27.16/17.71 tff(970,plain,
% 27.16/17.71 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB4, 0)) | (~v100(constB4)) | v129(constB4, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB4, 0)) | v129(constB4, 0) | (~v100(constB4)))),
% 27.16/17.71 inference(transitivity,[status(thm)],[969, 967])).
% 27.16/17.71 tff(971,plain,
% 27.16/17.71 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB4, 0)) | (~v100(constB4)) | v129(constB4, 0))),
% 27.16/17.71 inference(quant_inst,[status(thm)],[])).
% 27.16/17.71 tff(972,plain,
% 27.16/17.71 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB4, 0)) | v129(constB4, 0) | (~v100(constB4))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[971, 970])).
% 27.16/17.71 tff(973,plain,
% 27.16/17.71 ((~v90(constB4, 0)) | (~v100(constB4))),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[972, 966, 956])).
% 27.16/17.71 tff(974,plain,
% 27.16/17.71 (~v90(constB4, 0)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[973, 778])).
% 27.16/17.71 tff(975,plain,
% 27.16/17.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB4, 0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB4, 0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 0)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(976,plain,
% 27.16/17.71 (((~nextState(constB4, constB5)) | v90(constB4, 0) | v100(constB5) | (~v90(constB5, 0))) <=> (v90(constB4, 0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 0)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(977,plain,
% 27.16/17.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB4, constB5)) | v90(constB4, 0) | v100(constB5) | (~v90(constB5, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB4, 0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 0))))),
% 27.16/17.71 inference(monotonicity,[status(thm)],[976])).
% 27.16/17.71 tff(978,plain,
% 27.16/17.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB4, constB5)) | v90(constB4, 0) | v100(constB5) | (~v90(constB5, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB4, 0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 0)))),
% 27.16/17.71 inference(transitivity,[status(thm)],[977, 975])).
% 27.16/17.71 tff(979,plain,
% 27.16/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB4, constB5)) | v90(constB4, 0) | v100(constB5) | (~v90(constB5, 0)))),
% 27.16/17.71 inference(quant_inst,[status(thm)],[])).
% 27.16/17.71 tff(980,plain,
% 27.16/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB4, 0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 0))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[979, 978])).
% 27.16/17.71 tff(981,plain,
% 27.16/17.71 (v90(constB4, 0) | v100(constB5) | (~v90(constB5, 0))),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[980, 212, 813])).
% 27.16/17.71 tff(982,plain,
% 27.16/17.71 (v90(constB4, 0) | (~v90(constB5, 0))),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[981, 825])).
% 27.16/17.71 tff(983,plain,
% 27.16/17.71 (~v90(constB5, 0)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[982, 974])).
% 27.16/17.71 tff(984,plain,
% 27.16/17.71 (^[VarCurr: state_type] : refl((v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr)) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr)))),
% 27.16/17.71 inference(bind,[status(th)],[])).
% 27.16/17.71 tff(985,plain,
% 27.16/17.71 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 27.16/17.71 inference(quant_intro,[status(thm)],[984])).
% 27.16/17.71 tff(986,plain,
% 27.16/17.71 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(987,plain,
% 27.16/17.71 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, 0) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2))), ((((v90(VarCurr, 0) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))) | v121(VarCurr)) <=> ((v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2)) | v121(VarCurr)))), rewrite(((v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2)) | v121(VarCurr)) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))), ((((v90(VarCurr, 0) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))) | v121(VarCurr)) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))))),
% 27.16/17.71 inference(bind,[status(th)],[])).
% 27.16/17.71 tff(988,plain,
% 27.16/17.71 (![VarCurr: state_type] : (((v90(VarCurr, 0) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))) | v121(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 27.16/17.71 inference(quant_intro,[status(thm)],[987])).
% 27.16/17.71 tff(989,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 0) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))) | v121(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_1')).
% 27.16/17.71 tff(990,plain,
% 27.16/17.71 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[989, 988])).
% 27.16/17.71 tff(991,plain,
% 27.16/17.71 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[990, 986])).
% 27.16/17.71 tff(992,plain,(
% 27.16/17.71 ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 27.16/17.71 inference(skolemize,[status(sab)],[991])).
% 27.16/17.71 tff(993,plain,
% 27.16/17.71 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[992, 985])).
% 27.16/17.71 tff(994,plain,
% 27.16/17.71 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB5, 0) | (~v90(constB5, 1)) | v90(constB5, 2) | v121(constB5))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB5, 0) | (~v90(constB5, 1)) | v90(constB5, 2) | v121(constB5))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(995,plain,
% 27.16/17.71 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB5, 0) | (~v90(constB5, 1)) | v90(constB5, 2) | v121(constB5))),
% 27.16/17.71 inference(quant_inst,[status(thm)],[])).
% 27.16/17.71 tff(996,plain,
% 27.16/17.71 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB5, 0) | (~v90(constB5, 1)) | v90(constB5, 2) | v121(constB5)),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[995, 994])).
% 27.16/17.71 tff(997,plain,
% 27.16/17.71 (v121(constB5)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[996, 993, 983, 912, 834])).
% 27.16/17.71 tff(998,plain,
% 27.16/17.71 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | v117(VarCurr)) <=> ((~v121(VarCurr)) | v117(VarCurr)))),
% 27.16/17.71 inference(bind,[status(th)],[])).
% 27.16/17.71 tff(999,plain,
% 27.16/17.71 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 27.16/17.71 inference(quant_intro,[status(thm)],[998])).
% 27.16/17.71 tff(1000,plain,
% 27.16/17.71 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1001,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_1')).
% 27.16/17.71 tff(1002,plain,
% 27.16/17.71 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[1001, 1000])).
% 27.16/17.71 tff(1003,plain,(
% 27.16/17.71 ![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 27.16/17.71 inference(skolemize,[status(sab)],[1002])).
% 27.16/17.71 tff(1004,plain,
% 27.16/17.71 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[1003, 999])).
% 27.16/17.71 tff(1005,plain,
% 27.16/17.71 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB5) | (~v121(constB5)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB5) | (~v121(constB5)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1006,plain,
% 27.16/17.71 (((~v121(constB5)) | v117(constB5)) <=> (v117(constB5) | (~v121(constB5)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1007,plain,
% 27.16/17.71 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB5)) | v117(constB5))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB5) | (~v121(constB5))))),
% 27.16/17.71 inference(monotonicity,[status(thm)],[1006])).
% 27.16/17.71 tff(1008,plain,
% 27.16/17.71 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB5)) | v117(constB5))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB5) | (~v121(constB5)))),
% 27.16/17.71 inference(transitivity,[status(thm)],[1007, 1005])).
% 27.16/17.71 tff(1009,plain,
% 27.16/17.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB5)) | v117(constB5))),
% 27.16/17.71 inference(quant_inst,[status(thm)],[])).
% 27.16/17.71 tff(1010,plain,
% 27.16/17.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB5) | (~v121(constB5))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[1009, 1008])).
% 27.16/17.71 tff(1011,plain,
% 27.16/17.71 (v117(constB5)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[1010, 1004, 997])).
% 27.16/17.71 tff(1012,plain,
% 27.16/17.71 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB5) | (~v117(constB5)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB5) | (~v117(constB5)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1013,plain,
% 27.16/17.71 (((~v117(constB5)) | v116(constB5)) <=> (v116(constB5) | (~v117(constB5)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1014,plain,
% 27.16/17.71 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB5)) | v116(constB5))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB5) | (~v117(constB5))))),
% 27.16/17.71 inference(monotonicity,[status(thm)],[1013])).
% 27.16/17.71 tff(1015,plain,
% 27.16/17.71 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB5)) | v116(constB5))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB5) | (~v117(constB5)))),
% 27.16/17.71 inference(transitivity,[status(thm)],[1014, 1012])).
% 27.16/17.71 tff(1016,plain,
% 27.16/17.71 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB5)) | v116(constB5))),
% 27.16/17.71 inference(quant_inst,[status(thm)],[])).
% 27.16/17.71 tff(1017,plain,
% 27.16/17.71 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB5) | (~v117(constB5))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[1016, 1015])).
% 27.16/17.71 tff(1018,plain,
% 27.16/17.71 (v116(constB5)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[1017, 272, 1011])).
% 27.16/17.71 tff(1019,plain,
% 27.16/17.71 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB5) | (~v116(constB5)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB5) | (~v116(constB5)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1020,plain,
% 27.16/17.71 (((~v116(constB5)) | v115(constB5)) <=> (v115(constB5) | (~v116(constB5)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1021,plain,
% 27.16/17.71 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB5)) | v115(constB5))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB5) | (~v116(constB5))))),
% 27.16/17.71 inference(monotonicity,[status(thm)],[1020])).
% 27.16/17.71 tff(1022,plain,
% 27.16/17.71 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB5)) | v115(constB5))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB5) | (~v116(constB5)))),
% 27.16/17.71 inference(transitivity,[status(thm)],[1021, 1019])).
% 27.16/17.71 tff(1023,plain,
% 27.16/17.71 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB5)) | v115(constB5))),
% 27.16/17.71 inference(quant_inst,[status(thm)],[])).
% 27.16/17.71 tff(1024,plain,
% 27.16/17.71 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB5) | (~v116(constB5))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[1023, 1022])).
% 27.16/17.71 tff(1025,plain,
% 27.16/17.71 (v115(constB5)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[1024, 286, 1018])).
% 27.16/17.71 tff(1026,plain,
% 27.16/17.71 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB5) | (~v115(constB5)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB5) | (~v115(constB5)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1027,plain,
% 27.16/17.71 (((~v115(constB5)) | v114(constB5)) <=> (v114(constB5) | (~v115(constB5)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1028,plain,
% 27.16/17.71 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB5)) | v114(constB5))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB5) | (~v115(constB5))))),
% 27.16/17.71 inference(monotonicity,[status(thm)],[1027])).
% 27.16/17.71 tff(1029,plain,
% 27.16/17.71 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB5)) | v114(constB5))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB5) | (~v115(constB5)))),
% 27.16/17.71 inference(transitivity,[status(thm)],[1028, 1026])).
% 27.16/17.71 tff(1030,plain,
% 27.16/17.71 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB5)) | v114(constB5))),
% 27.16/17.71 inference(quant_inst,[status(thm)],[])).
% 27.16/17.71 tff(1031,plain,
% 27.16/17.71 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB5) | (~v115(constB5))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[1030, 1029])).
% 27.16/17.71 tff(1032,plain,
% 27.16/17.71 (v114(constB5)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[1031, 300, 1025])).
% 27.16/17.71 tff(1033,plain,
% 27.16/17.71 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB5)) | v113(constB5))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB5)) | v113(constB5))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1034,plain,
% 27.16/17.71 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB5)) | v113(constB5))),
% 27.16/17.71 inference(quant_inst,[status(thm)],[])).
% 27.16/17.71 tff(1035,plain,
% 27.16/17.71 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB5)) | v113(constB5)),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[1034, 1033])).
% 27.16/17.71 tff(1036,plain,
% 27.16/17.71 (v113(constB5)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[1035, 314, 1032])).
% 27.16/17.71 tff(1037,assumption,(v26(constB5)), introduced(assumption)).
% 27.16/17.71 tff(1038,plain,
% 27.16/17.71 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB5))),
% 27.16/17.71 inference(quant_inst,[status(thm)],[])).
% 27.16/17.71 tff(1039,plain,
% 27.16/17.71 ($false),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[1038, 95, 1037])).
% 27.16/17.71 tff(1040,plain,(~v26(constB5)), inference(lemma,lemma(discharge,[]))).
% 27.16/17.71 tff(1041,plain,
% 27.16/17.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | v112(constB5) | (~v113(constB5)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | v112(constB5) | (~v113(constB5)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1042,plain,
% 27.16/17.71 ((v26(constB5) | (~v113(constB5)) | v112(constB5)) <=> (v26(constB5) | v112(constB5) | (~v113(constB5)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1043,plain,
% 27.16/17.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | v112(constB5) | (~v113(constB5))))),
% 27.16/17.71 inference(monotonicity,[status(thm)],[1042])).
% 27.16/17.71 tff(1044,plain,
% 27.16/17.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | v112(constB5) | (~v113(constB5)))),
% 27.16/17.71 inference(transitivity,[status(thm)],[1043, 1041])).
% 27.16/17.71 tff(1045,plain,
% 27.16/17.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))),
% 27.16/17.71 inference(quant_inst,[status(thm)],[])).
% 27.16/17.71 tff(1046,plain,
% 27.16/17.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | v112(constB5) | (~v113(constB5))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[1045, 1044])).
% 27.16/17.71 tff(1047,plain,
% 27.16/17.71 (v112(constB5) | (~v113(constB5))),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[1046, 328, 1040])).
% 27.16/17.71 tff(1048,plain,
% 27.16/17.71 (v112(constB5)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[1047, 1036])).
% 27.16/17.71 tff(1049,plain,
% 27.16/17.71 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB5) | (~v112(constB5)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB5) | (~v112(constB5)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1050,plain,
% 27.16/17.71 (((~v112(constB5)) | v108(constB5)) <=> (v108(constB5) | (~v112(constB5)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1051,plain,
% 27.16/17.71 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB5)) | v108(constB5))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB5) | (~v112(constB5))))),
% 27.16/17.71 inference(monotonicity,[status(thm)],[1050])).
% 27.16/17.71 tff(1052,plain,
% 27.16/17.71 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB5)) | v108(constB5))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB5) | (~v112(constB5)))),
% 27.16/17.71 inference(transitivity,[status(thm)],[1051, 1049])).
% 27.16/17.71 tff(1053,plain,
% 27.16/17.71 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB5)) | v108(constB5))),
% 27.16/17.71 inference(quant_inst,[status(thm)],[])).
% 27.16/17.71 tff(1054,plain,
% 27.16/17.71 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB5) | (~v112(constB5))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[1053, 1052])).
% 27.16/17.71 tff(1055,plain,
% 27.16/17.71 (v108(constB5)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[1054, 340, 1048])).
% 27.16/17.71 tff(1056,plain,
% 27.16/17.71 (nextState(constB5, constB6) <=> nextState(constB5, constB6)),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1057,axiom,(nextState(constB5, constB6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_5_1')).
% 27.16/17.71 tff(1058,plain,
% 27.16/17.71 (nextState(constB5, constB6)),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[1057, 1056])).
% 27.16/17.71 tff(1059,plain,
% 27.16/17.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1060,plain,
% 27.16/17.71 (((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6)) <=> ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1061,plain,
% 27.16/17.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5))))),
% 27.16/17.71 inference(monotonicity,[status(thm)],[1060])).
% 27.16/17.71 tff(1062,plain,
% 27.16/17.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 27.16/17.71 inference(transitivity,[status(thm)],[1061, 1059])).
% 27.16/17.71 tff(1063,plain,
% 27.16/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))),
% 27.16/17.71 inference(quant_inst,[status(thm)],[])).
% 27.16/17.71 tff(1064,plain,
% 27.16/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[1063, 1062])).
% 27.16/17.71 tff(1065,plain,
% 27.16/17.71 (v110(constB6) | (~v108(constB5))),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[1064, 360, 1058])).
% 27.16/17.71 tff(1066,plain,
% 27.16/17.71 (v110(constB6)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[1065, 1055])).
% 27.16/17.71 tff(1067,plain,
% 27.16/17.71 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1068,plain,
% 27.16/17.71 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))),
% 27.16/17.71 inference(quant_inst,[status(thm)],[])).
% 27.16/17.71 tff(1069,plain,
% 27.16/17.71 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[1068, 1067])).
% 27.16/17.71 tff(1070,plain,
% 27.16/17.71 (~v104(constB6)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[1069, 378, 1058, 810])).
% 27.16/17.71 tff(1071,plain,
% 27.16/17.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1072,plain,
% 27.16/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))),
% 27.16/17.71 inference(quant_inst,[status(thm)],[])).
% 27.16/17.71 tff(1073,plain,
% 27.16/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB5, constB6)) | v102(constB6) | v104(constB6)),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[1072, 1071])).
% 27.16/17.71 tff(1074,plain,
% 27.16/17.71 (v102(constB6) | v104(constB6)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[1073, 392, 1058])).
% 27.16/17.71 tff(1075,plain,
% 27.16/17.71 (v102(constB6)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[1074, 1070])).
% 27.16/17.71 tff(1076,plain,
% 27.16/17.71 (v1(constB6) <=> v1(constB6)),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1077,axiom,(v1(constB6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_6_1')).
% 27.16/17.71 tff(1078,plain,
% 27.16/17.71 (v1(constB6)),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[1077, 1076])).
% 27.16/17.71 tff(1079,plain,
% 27.16/17.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1080,plain,
% 27.16/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))),
% 27.16/17.71 inference(quant_inst,[status(thm)],[])).
% 27.16/17.71 tff(1081,plain,
% 27.16/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[1080, 1079])).
% 27.16/17.71 tff(1082,plain,
% 27.16/17.71 (v101(constB6) | (~v102(constB6))),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[1081, 410, 1058, 1078])).
% 27.16/17.71 tff(1083,plain,
% 27.16/17.71 (v101(constB6)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[1082, 1075])).
% 27.16/17.71 tff(1084,plain,
% 27.16/17.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1085,plain,
% 27.16/17.71 (((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6)) <=> ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1086,plain,
% 27.16/17.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6))))),
% 27.16/17.71 inference(monotonicity,[status(thm)],[1085])).
% 27.16/17.71 tff(1087,plain,
% 27.16/17.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 27.16/17.71 inference(transitivity,[status(thm)],[1086, 1084])).
% 27.16/17.71 tff(1088,plain,
% 27.16/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))),
% 27.16/17.71 inference(quant_inst,[status(thm)],[])).
% 27.16/17.71 tff(1089,plain,
% 27.16/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[1088, 1087])).
% 27.16/17.71 tff(1090,plain,
% 27.16/17.71 (v100(constB6) | (~v101(constB6)) | (~v110(constB6))),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[1089, 425, 1058])).
% 27.16/17.71 tff(1091,plain,
% 27.16/17.71 (v100(constB6) | (~v110(constB6))),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[1090, 1083])).
% 27.16/17.71 tff(1092,plain,
% 27.16/17.71 (v100(constB6)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[1091, 1066])).
% 27.16/17.71 tff(1093,plain,
% 27.16/17.71 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | v130(VarCurr, 0)) <=> ((~v121(VarCurr)) | v130(VarCurr, 0)))),
% 27.16/17.71 inference(bind,[status(th)],[])).
% 27.16/17.71 tff(1094,plain,
% 27.16/17.71 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))),
% 27.16/17.71 inference(quant_intro,[status(thm)],[1093])).
% 27.16/17.71 tff(1095,plain,
% 27.16/17.71 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1096,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_3_1')).
% 27.16/17.71 tff(1097,plain,
% 27.16/17.71 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[1096, 1095])).
% 27.16/17.71 tff(1098,plain,(
% 27.16/17.71 ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))),
% 27.16/17.71 inference(skolemize,[status(sab)],[1097])).
% 27.16/17.71 tff(1099,plain,
% 27.16/17.71 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[1098, 1094])).
% 27.16/17.71 tff(1100,plain,
% 27.16/17.71 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB5)) | v130(constB5, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB5)) | v130(constB5, 0))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1101,plain,
% 27.16/17.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB5)) | v130(constB5, 0))),
% 27.16/17.71 inference(quant_inst,[status(thm)],[])).
% 27.16/17.71 tff(1102,plain,
% 27.16/17.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB5)) | v130(constB5, 0)),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[1101, 1100])).
% 27.16/17.71 tff(1103,plain,
% 27.16/17.71 (v130(constB5, 0)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[1102, 1099, 997])).
% 27.16/17.71 tff(1104,plain,
% 27.16/17.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB5) | (~v130(constB5, 0)) | v127(constB5, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB5) | (~v130(constB5, 0)) | v127(constB5, 0))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1105,plain,
% 27.16/17.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB5) | (~v130(constB5, 0)) | v127(constB5, 0))),
% 27.16/17.71 inference(quant_inst,[status(thm)],[])).
% 27.16/17.71 tff(1106,plain,
% 27.16/17.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB5) | (~v130(constB5, 0)) | v127(constB5, 0)),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[1105, 1104])).
% 27.16/17.71 tff(1107,plain,
% 27.16/17.71 ((~v130(constB5, 0)) | v127(constB5, 0)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[1106, 612, 1040])).
% 27.16/17.71 tff(1108,plain,
% 27.16/17.71 (v127(constB5, 0)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[1107, 1103])).
% 27.16/17.71 tff(1109,plain,
% 27.16/17.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB5, constB6)) | (~v127(constB5, 0)) | v129(constB6, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB5, constB6)) | (~v127(constB5, 0)) | v129(constB6, 0))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1110,plain,
% 27.16/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB5, constB6)) | (~v127(constB5, 0)) | v129(constB6, 0))),
% 27.16/17.71 inference(quant_inst,[status(thm)],[])).
% 27.16/17.71 tff(1111,plain,
% 27.16/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB5, constB6)) | (~v127(constB5, 0)) | v129(constB6, 0)),
% 27.16/17.71 inference(modus_ponens,[status(thm)],[1110, 1109])).
% 27.16/17.71 tff(1112,plain,
% 27.16/17.71 ((~v127(constB5, 0)) | v129(constB6, 0)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[1111, 627, 1058])).
% 27.16/17.71 tff(1113,plain,
% 27.16/17.71 (v129(constB6, 0)),
% 27.16/17.71 inference(unit_resolution,[status(thm)],[1112, 1108])).
% 27.16/17.71 tff(1114,plain,
% 27.16/17.71 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB6, 0) | (~v129(constB6, 0)) | (~v100(constB6)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB6, 0) | (~v129(constB6, 0)) | (~v100(constB6)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1115,plain,
% 27.16/17.71 ((v90(constB6, 0) | (~v100(constB6)) | (~v129(constB6, 0))) <=> (v90(constB6, 0) | (~v129(constB6, 0)) | (~v100(constB6)))),
% 27.16/17.71 inference(rewrite,[status(thm)],[])).
% 27.16/17.71 tff(1116,plain,
% 27.16/17.71 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB6, 0) | (~v100(constB6)) | (~v129(constB6, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB6, 0) | (~v129(constB6, 0)) | (~v100(constB6))))),
% 27.16/17.71 inference(monotonicity,[status(thm)],[1115])).
% 27.16/17.71 tff(1117,plain,
% 27.16/17.71 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB6, 0) | (~v100(constB6)) | (~v129(constB6, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB6, 0) | (~v129(constB6, 0)) | (~v100(constB6)))),
% 27.16/17.71 inference(transitivity,[status(thm)],[1116, 1114])).
% 27.16/17.71 tff(1118,plain,
% 27.16/17.71 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB6, 0) | (~v100(constB6)) | (~v129(constB6, 0)))),
% 27.16/17.71 inference(quant_inst,[status(thm)],[])).
% 27.16/17.71 tff(1119,plain,
% 27.16/17.71 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB6, 0) | (~v129(constB6, 0)) | (~v100(constB6))),
% 27.16/17.72 inference(modus_ponens,[status(thm)],[1118, 1117])).
% 27.16/17.72 tff(1120,plain,
% 27.16/17.72 (v90(constB6, 0) | (~v100(constB6))),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1119, 642, 1113])).
% 27.16/17.72 tff(1121,plain,
% 27.16/17.72 (v90(constB6, 0)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1120, 1092])).
% 27.16/17.72 tff(1122,plain,
% 27.16/17.72 ((~v1(constB7)) <=> (~v1(constB7))),
% 27.16/17.72 inference(rewrite,[status(thm)],[])).
% 27.16/17.72 tff(1123,axiom,(~v1(constB7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_7_1_1')).
% 27.16/17.72 tff(1124,plain,
% 27.16/17.72 (~v1(constB7)),
% 27.16/17.72 inference(modus_ponens,[status(thm)],[1123, 1122])).
% 27.16/17.72 tff(1125,plain,
% 27.16/17.72 (nextState(constB6, constB7) <=> nextState(constB6, constB7)),
% 27.16/17.72 inference(rewrite,[status(thm)],[])).
% 27.16/17.72 tff(1126,axiom,(nextState(constB6, constB7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_6_1')).
% 27.16/17.72 tff(1127,plain,
% 27.16/17.72 (nextState(constB6, constB7)),
% 27.16/17.72 inference(modus_ponens,[status(thm)],[1126, 1125])).
% 27.16/17.72 tff(1128,plain,
% 27.16/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 27.16/17.72 inference(rewrite,[status(thm)],[])).
% 27.16/17.72 tff(1129,plain,
% 27.16/17.72 (((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7)) <=> (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 27.16/17.72 inference(rewrite,[status(thm)],[])).
% 27.16/17.72 tff(1130,plain,
% 27.16/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7))))),
% 27.16/17.72 inference(monotonicity,[status(thm)],[1129])).
% 27.16/17.72 tff(1131,plain,
% 27.16/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 27.16/17.72 inference(transitivity,[status(thm)],[1130, 1128])).
% 27.16/17.72 tff(1132,plain,
% 27.16/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))),
% 27.16/17.72 inference(quant_inst,[status(thm)],[])).
% 27.16/17.72 tff(1133,plain,
% 27.16/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7))),
% 27.16/17.72 inference(modus_ponens,[status(thm)],[1132, 1131])).
% 27.16/17.72 tff(1134,plain,
% 27.16/17.72 (~v101(constB7)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1133, 138, 1127, 1124])).
% 27.16/17.72 tff(1135,plain,
% 27.16/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))),
% 27.16/17.72 inference(rewrite,[status(thm)],[])).
% 27.16/17.72 tff(1136,plain,
% 27.16/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))),
% 27.16/17.72 inference(quant_inst,[status(thm)],[])).
% 27.16/17.72 tff(1137,plain,
% 27.16/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7))),
% 27.16/17.72 inference(modus_ponens,[status(thm)],[1136, 1135])).
% 27.16/17.72 tff(1138,plain,
% 27.16/17.72 (v101(constB7) | (~v100(constB7))),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1137, 155, 1127])).
% 27.16/17.72 tff(1139,plain,
% 27.16/17.72 (~v100(constB7)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1138, 1134])).
% 27.16/17.72 tff(1140,plain,
% 27.16/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB6, 0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB6, 0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 0))),
% 27.16/17.72 inference(rewrite,[status(thm)],[])).
% 27.16/17.72 tff(1141,plain,
% 27.16/17.72 (((~nextState(constB6, constB7)) | (~v90(constB6, 0)) | v100(constB7) | v90(constB7, 0)) <=> ((~v90(constB6, 0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 0))),
% 27.16/17.72 inference(rewrite,[status(thm)],[])).
% 27.16/17.72 tff(1142,plain,
% 27.16/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, 0)) | v100(constB7) | v90(constB7, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB6, 0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 0)))),
% 27.16/17.72 inference(monotonicity,[status(thm)],[1141])).
% 27.16/17.72 tff(1143,plain,
% 27.16/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, 0)) | v100(constB7) | v90(constB7, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB6, 0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 0))),
% 27.16/17.72 inference(transitivity,[status(thm)],[1142, 1140])).
% 27.16/17.72 tff(1144,plain,
% 27.16/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, 0)) | v100(constB7) | v90(constB7, 0))),
% 27.16/17.72 inference(quant_inst,[status(thm)],[])).
% 27.16/17.72 tff(1145,plain,
% 27.16/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB6, 0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 0)),
% 27.16/17.72 inference(modus_ponens,[status(thm)],[1144, 1143])).
% 27.16/17.72 tff(1146,plain,
% 27.16/17.72 ((~v90(constB6, 0)) | v100(constB7) | v90(constB7, 0)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1145, 660, 1127])).
% 27.16/17.72 tff(1147,plain,
% 27.16/17.72 ((~v90(constB6, 0)) | v90(constB7, 0)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1146, 1139])).
% 27.16/17.72 tff(1148,plain,
% 27.16/17.72 (v90(constB7, 0)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1147, 1121])).
% 27.16/17.72 tff(1149,plain,
% 27.16/17.72 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | (~v130(VarCurr, 2))) <=> ((~v121(VarCurr)) | (~v130(VarCurr, 2))))),
% 27.16/17.72 inference(bind,[status(th)],[])).
% 27.16/17.72 tff(1150,plain,
% 27.16/17.72 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))),
% 27.16/17.72 inference(quant_intro,[status(thm)],[1149])).
% 27.16/17.72 tff(1151,plain,
% 27.16/17.72 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))),
% 27.16/17.72 inference(rewrite,[status(thm)],[])).
% 27.16/17.72 tff(1152,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_3_3')).
% 27.16/17.72 tff(1153,plain,
% 27.16/17.72 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))),
% 27.16/17.72 inference(modus_ponens,[status(thm)],[1152, 1151])).
% 27.16/17.72 tff(1154,plain,(
% 27.16/17.72 ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))),
% 27.16/17.72 inference(skolemize,[status(sab)],[1153])).
% 27.16/17.72 tff(1155,plain,
% 27.16/17.72 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))),
% 27.16/17.72 inference(modus_ponens,[status(thm)],[1154, 1150])).
% 27.16/17.72 tff(1156,plain,
% 27.16/17.72 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB5)) | (~v130(constB5, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB5)) | (~v130(constB5, 2)))),
% 27.16/17.72 inference(rewrite,[status(thm)],[])).
% 27.16/17.72 tff(1157,plain,
% 27.16/17.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB5)) | (~v130(constB5, 2)))),
% 27.16/17.72 inference(quant_inst,[status(thm)],[])).
% 27.16/17.72 tff(1158,plain,
% 27.16/17.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB5)) | (~v130(constB5, 2))),
% 27.16/17.72 inference(modus_ponens,[status(thm)],[1157, 1156])).
% 27.16/17.72 tff(1159,plain,
% 27.16/17.72 (~v130(constB5, 2)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1158, 1155, 997])).
% 27.16/17.72 tff(1160,plain,
% 27.16/17.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB5, 2)) | v26(constB5) | v130(constB5, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB5, 2)) | v26(constB5) | v130(constB5, 2))),
% 27.16/17.72 inference(rewrite,[status(thm)],[])).
% 27.16/17.72 tff(1161,plain,
% 27.16/17.72 ((v26(constB5) | v130(constB5, 2) | (~v127(constB5, 2))) <=> ((~v127(constB5, 2)) | v26(constB5) | v130(constB5, 2))),
% 27.16/17.72 inference(rewrite,[status(thm)],[])).
% 27.16/17.72 tff(1162,plain,
% 27.16/17.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB5) | v130(constB5, 2) | (~v127(constB5, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB5, 2)) | v26(constB5) | v130(constB5, 2)))),
% 27.16/17.72 inference(monotonicity,[status(thm)],[1161])).
% 27.16/17.72 tff(1163,plain,
% 27.16/17.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB5) | v130(constB5, 2) | (~v127(constB5, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB5, 2)) | v26(constB5) | v130(constB5, 2))),
% 27.16/17.72 inference(transitivity,[status(thm)],[1162, 1160])).
% 27.16/17.72 tff(1164,plain,
% 27.16/17.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB5) | v130(constB5, 2) | (~v127(constB5, 2)))),
% 27.16/17.72 inference(quant_inst,[status(thm)],[])).
% 27.16/17.72 tff(1165,plain,
% 27.16/17.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB5, 2)) | v26(constB5) | v130(constB5, 2)),
% 27.16/17.72 inference(modus_ponens,[status(thm)],[1164, 1163])).
% 27.16/17.72 tff(1166,plain,
% 27.16/17.72 ((~v127(constB5, 2)) | v130(constB5, 2)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1165, 455, 1040])).
% 27.16/17.72 tff(1167,plain,
% 27.16/17.72 (~v127(constB5, 2)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1166, 1159])).
% 27.16/17.72 tff(1168,plain,
% 27.16/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB5, constB6)) | v127(constB5, 2) | (~v129(constB6, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB5, constB6)) | v127(constB5, 2) | (~v129(constB6, 2)))),
% 27.16/17.72 inference(rewrite,[status(thm)],[])).
% 27.16/17.72 tff(1169,plain,
% 27.16/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB5, constB6)) | v127(constB5, 2) | (~v129(constB6, 2)))),
% 27.16/17.72 inference(quant_inst,[status(thm)],[])).
% 27.16/17.72 tff(1170,plain,
% 27.16/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB5, constB6)) | v127(constB5, 2) | (~v129(constB6, 2))),
% 27.16/17.72 inference(modus_ponens,[status(thm)],[1169, 1168])).
% 27.16/17.72 tff(1171,plain,
% 27.16/17.72 (v127(constB5, 2) | (~v129(constB6, 2))),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1170, 473, 1058])).
% 27.16/17.72 tff(1172,plain,
% 27.16/17.72 (~v129(constB6, 2)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1171, 1167])).
% 27.16/17.72 tff(1173,plain,
% 27.16/17.72 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB6, 2)) | v129(constB6, 2) | (~v100(constB6)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB6, 2)) | v129(constB6, 2) | (~v100(constB6)))),
% 27.16/17.72 inference(rewrite,[status(thm)],[])).
% 27.16/17.72 tff(1174,plain,
% 27.16/17.72 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB6, 2)) | v129(constB6, 2) | (~v100(constB6)))),
% 27.16/17.72 inference(quant_inst,[status(thm)],[])).
% 27.16/17.72 tff(1175,plain,
% 27.16/17.72 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB6, 2)) | v129(constB6, 2) | (~v100(constB6))),
% 27.16/17.72 inference(modus_ponens,[status(thm)],[1174, 1173])).
% 27.16/17.72 tff(1176,plain,
% 27.16/17.72 ((~v90(constB6, 2)) | (~v100(constB6))),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1175, 488, 1172])).
% 27.16/17.72 tff(1177,plain,
% 27.16/17.72 (~v90(constB6, 2)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1176, 1092])).
% 27.16/17.72 tff(1178,plain,
% 27.16/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB6, 2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB6, 2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 2)))),
% 27.16/17.72 inference(rewrite,[status(thm)],[])).
% 27.16/17.72 tff(1179,plain,
% 27.16/17.72 (((~nextState(constB6, constB7)) | v90(constB6, 2) | v100(constB7) | (~v90(constB7, 2))) <=> (v90(constB6, 2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 2)))),
% 27.16/17.72 inference(rewrite,[status(thm)],[])).
% 27.16/17.72 tff(1180,plain,
% 27.16/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB6, constB7)) | v90(constB6, 2) | v100(constB7) | (~v90(constB7, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB6, 2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 2))))),
% 27.16/17.72 inference(monotonicity,[status(thm)],[1179])).
% 27.16/17.72 tff(1181,plain,
% 27.16/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB6, constB7)) | v90(constB6, 2) | v100(constB7) | (~v90(constB7, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB6, 2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 2)))),
% 27.16/17.72 inference(transitivity,[status(thm)],[1180, 1178])).
% 27.16/17.72 tff(1182,plain,
% 27.16/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB6, constB7)) | v90(constB6, 2) | v100(constB7) | (~v90(constB7, 2)))),
% 27.16/17.72 inference(quant_inst,[status(thm)],[])).
% 27.16/17.72 tff(1183,plain,
% 27.16/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB6, 2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 2))),
% 27.16/17.72 inference(modus_ponens,[status(thm)],[1182, 1181])).
% 27.16/17.72 tff(1184,plain,
% 27.16/17.72 (v90(constB6, 2) | v100(constB7) | (~v90(constB7, 2))),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1183, 170, 1127])).
% 27.16/17.72 tff(1185,plain,
% 27.16/17.72 (v90(constB6, 2) | (~v90(constB7, 2))),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1184, 1139])).
% 27.16/17.72 tff(1186,plain,
% 27.16/17.72 (~v90(constB7, 2)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1185, 1177])).
% 27.16/17.72 tff(1187,assumption,(~v26(constB3)), introduced(assumption)).
% 27.16/17.72 tff(1188,plain,
% 27.16/17.72 (v127(constB3, 1)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[859, 1187])).
% 27.16/17.72 tff(1189,plain,
% 27.16/17.72 (v129(constB4, 1)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[874, 1188])).
% 27.16/17.72 tff(1190,assumption,(v100(constB4)), introduced(assumption)).
% 27.16/17.72 tff(1191,plain,
% 27.16/17.72 (v90(constB4, 1) | (~v129(constB4, 1))),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[891, 885, 1190])).
% 27.16/17.72 tff(1192,plain,
% 27.16/17.72 (v90(constB4, 1)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1191, 1189])).
% 27.16/17.72 tff(1193,plain,
% 27.16/17.72 (v90(constB5, 1)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[911, 1192])).
% 27.16/17.72 tff(1194,plain,
% 27.16/17.72 (~v127(constB3, 2)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[796, 1187])).
% 27.16/17.72 tff(1195,plain,
% 27.16/17.72 (~v129(constB4, 2)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[801, 1194])).
% 27.16/17.72 tff(1196,plain,
% 27.16/17.72 ((~v90(constB4, 2)) | v129(constB4, 2)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[805, 488, 1190])).
% 27.16/17.72 tff(1197,plain,
% 27.16/17.72 (~v90(constB4, 2)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1196, 1195])).
% 27.16/17.72 tff(1198,plain,
% 27.16/17.72 (~v90(constB5, 2)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[833, 1197])).
% 27.16/17.72 tff(1199,assumption,(~v90(constB5, 0)), introduced(assumption)).
% 27.16/17.72 tff(1200,plain,
% 27.16/17.72 ((~v90(constB5, 1)) | v90(constB5, 2) | v121(constB5)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[996, 993, 1199])).
% 27.16/17.72 tff(1201,plain,
% 27.16/17.72 (v121(constB5)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1200, 1198, 1193])).
% 27.16/17.72 tff(1202,assumption,(~v90(constB6, 1)), introduced(assumption)).
% 27.16/17.72 tff(1203,plain,
% 27.16/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB5, 1)) | (~nextState(constB5, constB6)) | v100(constB6) | v90(constB6, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB5, 1)) | (~nextState(constB5, constB6)) | v100(constB6) | v90(constB6, 1))),
% 27.16/17.72 inference(rewrite,[status(thm)],[])).
% 27.16/17.72 tff(1204,plain,
% 27.16/17.72 (((~nextState(constB5, constB6)) | (~v90(constB5, 1)) | v100(constB6) | v90(constB6, 1)) <=> ((~v90(constB5, 1)) | (~nextState(constB5, constB6)) | v100(constB6) | v90(constB6, 1))),
% 27.16/17.72 inference(rewrite,[status(thm)],[])).
% 27.16/17.72 tff(1205,plain,
% 27.16/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB5, constB6)) | (~v90(constB5, 1)) | v100(constB6) | v90(constB6, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB5, 1)) | (~nextState(constB5, constB6)) | v100(constB6) | v90(constB6, 1)))),
% 27.16/17.72 inference(monotonicity,[status(thm)],[1204])).
% 27.16/17.72 tff(1206,plain,
% 27.16/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB5, constB6)) | (~v90(constB5, 1)) | v100(constB6) | v90(constB6, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB5, 1)) | (~nextState(constB5, constB6)) | v100(constB6) | v90(constB6, 1))),
% 27.16/17.72 inference(transitivity,[status(thm)],[1205, 1203])).
% 27.16/17.72 tff(1207,plain,
% 27.16/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB5, constB6)) | (~v90(constB5, 1)) | v100(constB6) | v90(constB6, 1))),
% 27.16/17.72 inference(quant_inst,[status(thm)],[])).
% 27.16/17.72 tff(1208,plain,
% 27.16/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB5, 1)) | (~nextState(constB5, constB6)) | v100(constB6) | v90(constB6, 1)),
% 27.16/17.72 inference(modus_ponens,[status(thm)],[1207, 1206])).
% 27.16/17.72 tff(1209,plain,
% 27.16/17.72 ((~v90(constB5, 1)) | v100(constB6) | v90(constB6, 1)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1208, 903, 1058])).
% 27.16/17.72 tff(1210,plain,
% 27.16/17.72 (v100(constB6)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1209, 1193, 1202])).
% 27.16/17.72 tff(1211,plain,
% 27.16/17.72 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB6, 1) | (~v129(constB6, 1)) | (~v100(constB6)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB6, 1) | (~v129(constB6, 1)) | (~v100(constB6)))),
% 27.16/17.72 inference(rewrite,[status(thm)],[])).
% 27.16/17.72 tff(1212,plain,
% 27.16/17.72 ((v90(constB6, 1) | (~v100(constB6)) | (~v129(constB6, 1))) <=> (v90(constB6, 1) | (~v129(constB6, 1)) | (~v100(constB6)))),
% 27.16/17.72 inference(rewrite,[status(thm)],[])).
% 27.16/17.72 tff(1213,plain,
% 27.16/17.72 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB6, 1) | (~v100(constB6)) | (~v129(constB6, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB6, 1) | (~v129(constB6, 1)) | (~v100(constB6))))),
% 27.16/17.72 inference(monotonicity,[status(thm)],[1212])).
% 27.16/17.72 tff(1214,plain,
% 27.16/17.72 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB6, 1) | (~v100(constB6)) | (~v129(constB6, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB6, 1) | (~v129(constB6, 1)) | (~v100(constB6)))),
% 27.16/17.72 inference(transitivity,[status(thm)],[1213, 1211])).
% 27.16/17.72 tff(1215,plain,
% 27.16/17.72 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB6, 1) | (~v100(constB6)) | (~v129(constB6, 1)))),
% 27.16/17.72 inference(quant_inst,[status(thm)],[])).
% 27.16/17.72 tff(1216,plain,
% 27.16/17.72 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB6, 1) | (~v129(constB6, 1)) | (~v100(constB6))),
% 27.16/17.72 inference(modus_ponens,[status(thm)],[1215, 1214])).
% 27.16/17.72 tff(1217,plain,
% 27.16/17.72 ((~v129(constB6, 1)) | (~v100(constB6))),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1216, 885, 1202])).
% 27.16/17.72 tff(1218,plain,
% 27.16/17.72 (~v129(constB6, 1)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1217, 1210])).
% 27.16/17.72 tff(1219,plain,
% 27.16/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB5, constB6)) | (~v127(constB5, 1)) | v129(constB6, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB5, constB6)) | (~v127(constB5, 1)) | v129(constB6, 1))),
% 27.16/17.72 inference(rewrite,[status(thm)],[])).
% 27.16/17.72 tff(1220,plain,
% 27.16/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB5, constB6)) | (~v127(constB5, 1)) | v129(constB6, 1))),
% 27.16/17.72 inference(quant_inst,[status(thm)],[])).
% 27.16/17.72 tff(1221,plain,
% 27.16/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB5, constB6)) | (~v127(constB5, 1)) | v129(constB6, 1)),
% 27.16/17.72 inference(modus_ponens,[status(thm)],[1220, 1219])).
% 27.16/17.72 tff(1222,plain,
% 27.16/17.72 ((~v127(constB5, 1)) | v129(constB6, 1)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1221, 870, 1058])).
% 27.16/17.72 tff(1223,plain,
% 27.16/17.72 (~v127(constB5, 1)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1222, 1218])).
% 27.16/17.72 tff(1224,plain,
% 27.16/17.72 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB5) | (~v130(constB5, 1)) | v127(constB5, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB5) | (~v130(constB5, 1)) | v127(constB5, 1))),
% 27.16/17.72 inference(rewrite,[status(thm)],[])).
% 27.16/17.72 tff(1225,plain,
% 27.16/17.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB5) | (~v130(constB5, 1)) | v127(constB5, 1))),
% 27.16/17.72 inference(quant_inst,[status(thm)],[])).
% 27.16/17.72 tff(1226,plain,
% 27.16/17.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB5) | (~v130(constB5, 1)) | v127(constB5, 1)),
% 27.16/17.72 inference(modus_ponens,[status(thm)],[1225, 1224])).
% 27.16/17.72 tff(1227,plain,
% 27.16/17.72 ((~v130(constB5, 1)) | v127(constB5, 1)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1226, 855, 1040])).
% 27.16/17.72 tff(1228,plain,
% 27.16/17.72 (~v130(constB5, 1)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1227, 1223])).
% 27.16/17.72 tff(1229,plain,
% 27.16/17.72 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | v130(VarCurr, 1)) <=> ((~v121(VarCurr)) | v130(VarCurr, 1)))),
% 27.16/17.72 inference(bind,[status(th)],[])).
% 27.16/17.72 tff(1230,plain,
% 27.16/17.72 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))),
% 27.16/17.72 inference(quant_intro,[status(thm)],[1229])).
% 27.16/17.72 tff(1231,plain,
% 27.16/17.72 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))),
% 27.16/17.72 inference(rewrite,[status(thm)],[])).
% 27.16/17.72 tff(1232,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_3_2')).
% 27.16/17.72 tff(1233,plain,
% 27.16/17.72 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))),
% 27.16/17.72 inference(modus_ponens,[status(thm)],[1232, 1231])).
% 27.16/17.72 tff(1234,plain,(
% 27.16/17.72 ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))),
% 27.16/17.72 inference(skolemize,[status(sab)],[1233])).
% 27.16/17.72 tff(1235,plain,
% 27.16/17.72 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))),
% 27.16/17.72 inference(modus_ponens,[status(thm)],[1234, 1230])).
% 27.16/17.72 tff(1236,plain,
% 27.16/17.72 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB5)) | v130(constB5, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB5)) | v130(constB5, 1))),
% 27.16/17.72 inference(rewrite,[status(thm)],[])).
% 27.16/17.72 tff(1237,plain,
% 27.16/17.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB5)) | v130(constB5, 1))),
% 27.16/17.72 inference(quant_inst,[status(thm)],[])).
% 27.16/17.72 tff(1238,plain,
% 27.16/17.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB5)) | v130(constB5, 1)),
% 27.16/17.72 inference(modus_ponens,[status(thm)],[1237, 1236])).
% 27.16/17.72 tff(1239,plain,
% 27.16/17.72 ($false),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1238, 1235, 1228, 1201])).
% 27.16/17.72 tff(1240,plain,(v26(constB3) | v90(constB6, 1) | v90(constB5, 0) | (~v100(constB4))), inference(lemma,lemma(discharge,[]))).
% 27.16/17.72 tff(1241,plain,
% 27.16/17.72 (v90(constB6, 1)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1240, 983, 118, 778])).
% 27.16/17.72 tff(1242,plain,
% 27.16/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB6, 1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB6, 1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 1))),
% 27.16/17.72 inference(rewrite,[status(thm)],[])).
% 27.16/17.72 tff(1243,plain,
% 27.16/17.72 (((~nextState(constB6, constB7)) | (~v90(constB6, 1)) | v100(constB7) | v90(constB7, 1)) <=> ((~v90(constB6, 1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 1))),
% 27.16/17.72 inference(rewrite,[status(thm)],[])).
% 27.16/17.72 tff(1244,plain,
% 27.16/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB6, constB7)) | (~v90(constB6, 1)) | v100(constB7) | v90(constB7, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB6, 1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 1)))),
% 27.16/17.72 inference(monotonicity,[status(thm)],[1243])).
% 27.16/17.72 tff(1245,plain,
% 27.16/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB6, constB7)) | (~v90(constB6, 1)) | v100(constB7) | v90(constB7, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB6, 1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 1))),
% 27.16/17.72 inference(transitivity,[status(thm)],[1244, 1242])).
% 27.16/17.72 tff(1246,plain,
% 27.16/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB6, constB7)) | (~v90(constB6, 1)) | v100(constB7) | v90(constB7, 1))),
% 27.16/17.72 inference(quant_inst,[status(thm)],[])).
% 27.16/17.72 tff(1247,plain,
% 27.16/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB6, 1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 1)),
% 27.16/17.72 inference(modus_ponens,[status(thm)],[1246, 1245])).
% 27.16/17.72 tff(1248,plain,
% 27.16/17.72 ((~v90(constB6, 1)) | v100(constB7) | v90(constB7, 1)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1247, 903, 1127])).
% 27.16/17.72 tff(1249,plain,
% 27.16/17.72 ((~v90(constB6, 1)) | v90(constB7, 1)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1248, 1139])).
% 27.16/17.72 tff(1250,plain,
% 27.16/17.72 (v90(constB7, 1)),
% 27.16/17.72 inference(unit_resolution,[status(thm)],[1249, 1241])).
% 27.16/17.72 tff(1251,plain,
% 27.16/17.72 (^[VarCurr: state_type] : refl(((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr)) <=> ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr)))),
% 27.16/17.72 inference(bind,[status(th)],[])).
% 27.16/17.72 tff(1252,plain,
% 27.16/17.72 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 27.16/17.72 inference(quant_intro,[status(thm)],[1251])).
% 27.16/17.72 tff(1253,plain,
% 27.16/17.72 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 27.16/17.72 inference(rewrite,[status(thm)],[])).
% 27.16/17.72 tff(1254,plain,
% 27.16/17.72 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, 2) | (~v90(VarCurr, 0))) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 2))), (((v90(VarCurr, 2) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 1))) <=> (((~v90(VarCurr, 0)) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))))), rewrite((((~v90(VarCurr, 0)) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))) <=> ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2))), (((v90(VarCurr, 2) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 1))) <=> ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2)))), ((((v90(VarCurr, 2) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 1))) | v122(VarCurr)) <=> (((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2)) | v122(VarCurr)))), rewrite((((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2)) | v122(VarCurr)) <=> ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))), ((((v90(VarCurr, 2) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 1))) | v122(VarCurr)) <=> ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))))),
% 27.16/17.72 inference(bind,[status(th)],[])).
% 27.16/17.72 tff(1255,plain,
% 27.16/17.72 (![VarCurr: state_type] : (((v90(VarCurr, 2) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 1))) | v122(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 27.16/17.72 inference(quant_intro,[status(thm)],[1254])).
% 27.16/17.72 tff(1256,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 2) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 1))) | v122(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_1')).
% 27.16/17.72 tff(1257,plain,
% 27.16/17.72 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 27.16/17.72 inference(modus_ponens,[status(thm)],[1256, 1255])).
% 27.16/17.72 tff(1258,plain,
% 27.16/17.72 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 27.16/17.72 inference(modus_ponens,[status(thm)],[1257, 1253])).
% 27.16/17.72 tff(1259,plain,(
% 27.16/17.72 ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 27.16/17.72 inference(skolemize,[status(sab)],[1258])).
% 27.16/17.72 tff(1260,plain,
% 27.16/17.72 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 27.16/17.72 inference(modus_ponens,[status(thm)],[1259, 1252])).
% 27.16/17.72 tff(1261,plain,
% 27.16/17.72 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB7, 0)) | (~v90(constB7, 1)) | v90(constB7, 2) | v122(constB7))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB7, 0)) | (~v90(constB7, 1)) | v90(constB7, 2) | v122(constB7))),
% 27.21/17.72 inference(rewrite,[status(thm)],[])).
% 27.21/17.72 tff(1262,plain,
% 27.21/17.72 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB7, 0)) | (~v90(constB7, 1)) | v90(constB7, 2) | v122(constB7))),
% 27.21/17.72 inference(quant_inst,[status(thm)],[])).
% 27.21/17.72 tff(1263,plain,
% 27.21/17.72 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB7, 0)) | (~v90(constB7, 1)) | v90(constB7, 2) | v122(constB7)),
% 27.21/17.72 inference(modus_ponens,[status(thm)],[1262, 1261])).
% 27.21/17.72 tff(1264,plain,
% 27.21/17.72 ((~v90(constB7, 0)) | v90(constB7, 2) | v122(constB7)),
% 27.21/17.72 inference(unit_resolution,[status(thm)],[1263, 1260, 1250])).
% 27.21/17.72 tff(1265,plain,
% 27.21/17.72 (v122(constB7)),
% 27.21/17.72 inference(unit_resolution,[status(thm)],[1264, 1186, 1148])).
% 27.21/17.72 tff(1266,plain,
% 27.21/17.72 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | v116(VarCurr)) <=> ((~v122(VarCurr)) | v116(VarCurr)))),
% 27.21/17.72 inference(bind,[status(th)],[])).
% 27.21/17.72 tff(1267,plain,
% 27.21/17.72 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 27.21/17.72 inference(quant_intro,[status(thm)],[1266])).
% 27.21/17.72 tff(1268,plain,
% 27.21/17.72 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 27.21/17.72 inference(rewrite,[status(thm)],[])).
% 27.21/17.72 tff(1269,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_1')).
% 27.21/17.72 tff(1270,plain,
% 27.21/17.72 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 27.21/17.72 inference(modus_ponens,[status(thm)],[1269, 1268])).
% 27.21/17.72 tff(1271,plain,(
% 27.21/17.72 ![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 27.21/17.72 inference(skolemize,[status(sab)],[1270])).
% 27.21/17.72 tff(1272,plain,
% 27.21/17.72 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 27.21/17.72 inference(modus_ponens,[status(thm)],[1271, 1267])).
% 27.21/17.72 tff(1273,plain,
% 27.21/17.72 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB7)) | v116(constB7))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB7)) | v116(constB7))),
% 27.21/17.72 inference(rewrite,[status(thm)],[])).
% 27.21/17.72 tff(1274,plain,
% 27.21/17.72 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB7)) | v116(constB7))),
% 27.21/17.72 inference(quant_inst,[status(thm)],[])).
% 27.21/17.72 tff(1275,plain,
% 27.21/17.72 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB7)) | v116(constB7)),
% 27.21/17.72 inference(modus_ponens,[status(thm)],[1274, 1273])).
% 27.21/17.72 tff(1276,plain,
% 27.21/17.72 (v116(constB7)),
% 27.21/17.72 inference(unit_resolution,[status(thm)],[1275, 1272, 1265])).
% 27.21/17.72 tff(1277,plain,
% 27.21/17.72 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB7)) | v115(constB7))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB7)) | v115(constB7))),
% 27.21/17.72 inference(rewrite,[status(thm)],[])).
% 27.21/17.72 tff(1278,plain,
% 27.21/17.72 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB7)) | v115(constB7))),
% 27.21/17.72 inference(quant_inst,[status(thm)],[])).
% 27.21/17.72 tff(1279,plain,
% 27.21/17.72 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB7)) | v115(constB7)),
% 27.21/17.72 inference(modus_ponens,[status(thm)],[1278, 1277])).
% 27.21/17.72 tff(1280,plain,
% 27.21/17.72 (v115(constB7)),
% 27.21/17.72 inference(unit_resolution,[status(thm)],[1279, 286, 1276])).
% 27.21/17.72 tff(1281,plain,
% 27.21/17.72 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB7) | (~v115(constB7)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB7) | (~v115(constB7)))),
% 27.21/17.72 inference(rewrite,[status(thm)],[])).
% 27.21/17.72 tff(1282,plain,
% 27.21/17.72 (((~v115(constB7)) | v114(constB7)) <=> (v114(constB7) | (~v115(constB7)))),
% 27.21/17.72 inference(rewrite,[status(thm)],[])).
% 27.21/17.72 tff(1283,plain,
% 27.21/17.72 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB7)) | v114(constB7))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB7) | (~v115(constB7))))),
% 27.21/17.72 inference(monotonicity,[status(thm)],[1282])).
% 27.21/17.72 tff(1284,plain,
% 27.21/17.72 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB7)) | v114(constB7))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB7) | (~v115(constB7)))),
% 27.21/17.72 inference(transitivity,[status(thm)],[1283, 1281])).
% 27.21/17.72 tff(1285,plain,
% 27.21/17.72 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB7)) | v114(constB7))),
% 27.21/17.72 inference(quant_inst,[status(thm)],[])).
% 27.21/17.72 tff(1286,plain,
% 27.21/17.72 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB7) | (~v115(constB7))),
% 27.21/17.72 inference(modus_ponens,[status(thm)],[1285, 1284])).
% 27.21/17.72 tff(1287,plain,
% 27.21/17.72 (v114(constB7)),
% 27.21/17.72 inference(unit_resolution,[status(thm)],[1286, 300, 1280])).
% 27.21/17.72 tff(1288,plain,
% 27.21/17.72 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB7) | (~v114(constB7)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB7) | (~v114(constB7)))),
% 27.21/17.72 inference(rewrite,[status(thm)],[])).
% 27.21/17.72 tff(1289,plain,
% 27.21/17.72 (((~v114(constB7)) | v113(constB7)) <=> (v113(constB7) | (~v114(constB7)))),
% 27.21/17.72 inference(rewrite,[status(thm)],[])).
% 27.21/17.72 tff(1290,plain,
% 27.21/17.72 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB7)) | v113(constB7))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB7) | (~v114(constB7))))),
% 27.21/17.72 inference(monotonicity,[status(thm)],[1289])).
% 27.21/17.72 tff(1291,plain,
% 27.21/17.72 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB7)) | v113(constB7))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB7) | (~v114(constB7)))),
% 27.21/17.72 inference(transitivity,[status(thm)],[1290, 1288])).
% 27.21/17.72 tff(1292,plain,
% 27.21/17.72 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB7)) | v113(constB7))),
% 27.21/17.72 inference(quant_inst,[status(thm)],[])).
% 27.21/17.72 tff(1293,plain,
% 27.21/17.72 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB7) | (~v114(constB7))),
% 27.21/17.72 inference(modus_ponens,[status(thm)],[1292, 1291])).
% 27.21/17.72 tff(1294,plain,
% 27.21/17.72 (v113(constB7)),
% 27.21/17.72 inference(unit_resolution,[status(thm)],[1293, 314, 1287])).
% 27.21/17.72 tff(1295,plain,
% 27.21/17.72 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | (~v113(constB7)) | v112(constB7))),
% 27.21/17.72 inference(rewrite,[status(thm)],[])).
% 27.21/17.72 tff(1296,plain,
% 27.21/17.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))),
% 27.21/17.72 inference(quant_inst,[status(thm)],[])).
% 27.21/17.72 tff(1297,plain,
% 27.21/17.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | (~v113(constB7)) | v112(constB7)),
% 27.21/17.72 inference(modus_ponens,[status(thm)],[1296, 1295])).
% 27.21/17.72 tff(1298,plain,
% 27.21/17.72 (v26(constB7) | v112(constB7)),
% 27.21/17.72 inference(unit_resolution,[status(thm)],[1297, 328, 1294])).
% 27.21/17.72 tff(1299,plain,
% 27.21/17.72 (v112(constB7)),
% 27.21/17.72 inference(unit_resolution,[status(thm)],[1298, 114])).
% 27.21/17.72 tff(1300,plain,
% 27.21/17.72 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB7) | (~v112(constB7)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB7) | (~v112(constB7)))),
% 27.21/17.72 inference(rewrite,[status(thm)],[])).
% 27.21/17.72 tff(1301,plain,
% 27.21/17.72 (((~v112(constB7)) | v108(constB7)) <=> (v108(constB7) | (~v112(constB7)))),
% 27.21/17.72 inference(rewrite,[status(thm)],[])).
% 27.21/17.72 tff(1302,plain,
% 27.21/17.72 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB7)) | v108(constB7))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB7) | (~v112(constB7))))),
% 27.21/17.72 inference(monotonicity,[status(thm)],[1301])).
% 27.21/17.72 tff(1303,plain,
% 27.21/17.72 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB7)) | v108(constB7))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB7) | (~v112(constB7)))),
% 27.21/17.72 inference(transitivity,[status(thm)],[1302, 1300])).
% 27.21/17.72 tff(1304,plain,
% 27.21/17.72 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB7)) | v108(constB7))),
% 27.21/17.72 inference(quant_inst,[status(thm)],[])).
% 27.21/17.72 tff(1305,plain,
% 27.21/17.72 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB7) | (~v112(constB7))),
% 27.21/17.72 inference(modus_ponens,[status(thm)],[1304, 1303])).
% 27.21/17.72 tff(1306,plain,
% 27.21/17.72 (v108(constB7)),
% 27.21/17.72 inference(unit_resolution,[status(thm)],[1305, 340, 1299])).
% 27.21/17.72 tff(1307,plain,
% 27.21/17.72 (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 27.21/17.72 inference(rewrite,[status(thm)],[])).
% 27.21/17.72 tff(1308,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_7_1')).
% 27.21/17.72 tff(1309,plain,
% 27.21/17.72 (nextState(constB7, constB8)),
% 27.21/17.72 inference(modus_ponens,[status(thm)],[1308, 1307])).
% 27.21/17.72 tff(1310,plain,
% 27.21/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 27.21/17.72 inference(rewrite,[status(thm)],[])).
% 27.21/17.72 tff(1311,plain,
% 27.21/17.72 (((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8)) <=> ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 27.21/17.72 inference(rewrite,[status(thm)],[])).
% 27.21/17.72 tff(1312,plain,
% 27.21/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7))))),
% 27.21/17.72 inference(monotonicity,[status(thm)],[1311])).
% 27.21/17.72 tff(1313,plain,
% 27.21/17.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 27.21/17.72 inference(transitivity,[status(thm)],[1312, 1310])).
% 27.21/17.72 tff(1314,plain,
% 27.21/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))),
% 27.21/17.72 inference(quant_inst,[status(thm)],[])).
% 27.21/17.72 tff(1315,plain,
% 27.21/17.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7))),
% 27.21/17.72 inference(modus_ponens,[status(thm)],[1314, 1313])).
% 27.21/17.72 tff(1316,plain,
% 27.21/17.72 (v110(constB8) | (~v108(constB7))),
% 27.21/17.72 inference(unit_resolution,[status(thm)],[1315, 360, 1309])).
% 27.21/17.72 tff(1317,plain,
% 27.21/17.72 (v110(constB8)),
% 27.21/17.72 inference(unit_resolution,[status(thm)],[1316, 1306])).
% 27.21/17.72 tff(1318,plain,
% 27.21/17.72 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))),
% 27.21/17.72 inference(rewrite,[status(thm)],[])).
% 27.21/17.72 tff(1319,plain,
% 27.21/17.72 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))),
% 27.21/17.72 inference(quant_inst,[status(thm)],[])).
% 27.21/17.72 tff(1320,plain,
% 27.21/17.73 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1319, 1318])).
% 27.21/17.73 tff(1321,plain,
% 27.21/17.73 (~v104(constB8)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1320, 378, 1309, 1124])).
% 27.21/17.73 tff(1322,plain,
% 27.21/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1323,plain,
% 27.21/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))),
% 27.21/17.73 inference(quant_inst,[status(thm)],[])).
% 27.21/17.73 tff(1324,plain,
% 27.21/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB7, constB8)) | v102(constB8) | v104(constB8)),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1323, 1322])).
% 27.21/17.73 tff(1325,plain,
% 27.21/17.73 (v102(constB8) | v104(constB8)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1324, 392, 1309])).
% 27.21/17.73 tff(1326,plain,
% 27.21/17.73 (v102(constB8)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1325, 1321])).
% 27.21/17.73 tff(1327,plain,
% 27.21/17.73 (v1(constB8) <=> v1(constB8)),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1328,axiom,(v1(constB8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_8_1')).
% 27.21/17.73 tff(1329,plain,
% 27.21/17.73 (v1(constB8)),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1328, 1327])).
% 27.21/17.73 tff(1330,plain,
% 27.21/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1331,plain,
% 27.21/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))),
% 27.21/17.73 inference(quant_inst,[status(thm)],[])).
% 27.21/17.73 tff(1332,plain,
% 27.21/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1331, 1330])).
% 27.21/17.73 tff(1333,plain,
% 27.21/17.73 (v101(constB8) | (~v102(constB8))),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1332, 410, 1309, 1329])).
% 27.21/17.73 tff(1334,plain,
% 27.21/17.73 (v101(constB8)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1333, 1326])).
% 27.21/17.73 tff(1335,plain,
% 27.21/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1336,plain,
% 27.21/17.73 (((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8)) <=> ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1337,plain,
% 27.21/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8))))),
% 27.21/17.73 inference(monotonicity,[status(thm)],[1336])).
% 27.21/17.73 tff(1338,plain,
% 27.21/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 27.21/17.73 inference(transitivity,[status(thm)],[1337, 1335])).
% 27.21/17.73 tff(1339,plain,
% 27.21/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))),
% 27.21/17.73 inference(quant_inst,[status(thm)],[])).
% 27.21/17.73 tff(1340,plain,
% 27.21/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1339, 1338])).
% 27.21/17.73 tff(1341,plain,
% 27.21/17.73 (v100(constB8) | (~v101(constB8)) | (~v110(constB8))),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1340, 425, 1309])).
% 27.21/17.73 tff(1342,plain,
% 27.21/17.73 (v100(constB8) | (~v110(constB8))),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1341, 1334])).
% 27.21/17.73 tff(1343,plain,
% 27.21/17.73 (v100(constB8)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1342, 1317])).
% 27.21/17.73 tff(1344,assumption,(v127(constB7, 0)), introduced(assumption)).
% 27.21/17.73 tff(1345,plain,
% 27.21/17.73 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | (~v130(VarCurr, 0))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, 0))))),
% 27.21/17.73 inference(bind,[status(th)],[])).
% 27.21/17.73 tff(1346,plain,
% 27.21/17.73 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))),
% 27.21/17.73 inference(quant_intro,[status(thm)],[1345])).
% 27.21/17.73 tff(1347,plain,
% 27.21/17.73 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1348,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_1')).
% 27.21/17.73 tff(1349,plain,
% 27.21/17.73 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1348, 1347])).
% 27.21/17.73 tff(1350,plain,(
% 27.21/17.73 ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))),
% 27.21/17.73 inference(skolemize,[status(sab)],[1349])).
% 27.21/17.73 tff(1351,plain,
% 27.21/17.73 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1350, 1346])).
% 27.21/17.73 tff(1352,plain,
% 27.21/17.73 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB7)) | (~v130(constB7, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB7)) | (~v130(constB7, 0)))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1353,plain,
% 27.21/17.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB7)) | (~v130(constB7, 0)))),
% 27.21/17.73 inference(quant_inst,[status(thm)],[])).
% 27.21/17.73 tff(1354,plain,
% 27.21/17.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB7)) | (~v130(constB7, 0))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1353, 1352])).
% 27.21/17.73 tff(1355,plain,
% 27.21/17.73 (~v130(constB7, 0)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1354, 1351, 1265])).
% 27.21/17.73 tff(1356,plain,
% 27.21/17.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB7, 0)) | v26(constB7) | v130(constB7, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB7, 0)) | v26(constB7) | v130(constB7, 0))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1357,plain,
% 27.21/17.73 ((v26(constB7) | v130(constB7, 0) | (~v127(constB7, 0))) <=> ((~v127(constB7, 0)) | v26(constB7) | v130(constB7, 0))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1358,plain,
% 27.21/17.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB7) | v130(constB7, 0) | (~v127(constB7, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB7, 0)) | v26(constB7) | v130(constB7, 0)))),
% 27.21/17.73 inference(monotonicity,[status(thm)],[1357])).
% 27.21/17.73 tff(1359,plain,
% 27.21/17.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB7) | v130(constB7, 0) | (~v127(constB7, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB7, 0)) | v26(constB7) | v130(constB7, 0))),
% 27.21/17.73 inference(transitivity,[status(thm)],[1358, 1356])).
% 27.21/17.73 tff(1360,plain,
% 27.21/17.73 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB7) | v130(constB7, 0) | (~v127(constB7, 0)))),
% 27.21/17.73 inference(quant_inst,[status(thm)],[])).
% 27.21/17.73 tff(1361,plain,
% 27.21/17.73 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB7, 0)) | v26(constB7) | v130(constB7, 0)),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1360, 1359])).
% 27.21/17.73 tff(1362,plain,
% 27.21/17.73 ((~v127(constB7, 0)) | v26(constB7)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1361, 933, 1355])).
% 27.21/17.73 tff(1363,plain,
% 27.21/17.73 (v26(constB7)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1362, 1344])).
% 27.21/17.73 tff(1364,plain,
% 27.21/17.73 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | (~v127(VarCurr, 0))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, 0))))),
% 27.21/17.73 inference(bind,[status(th)],[])).
% 27.21/17.73 tff(1365,plain,
% 27.21/17.73 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))),
% 27.21/17.73 inference(quant_intro,[status(thm)],[1364])).
% 27.21/17.73 tff(1366,plain,
% 27.21/17.73 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1367,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_1')).
% 27.21/17.73 tff(1368,plain,
% 27.21/17.73 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1367, 1366])).
% 27.21/17.73 tff(1369,plain,(
% 27.21/17.73 ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))),
% 27.21/17.73 inference(skolemize,[status(sab)],[1368])).
% 27.21/17.73 tff(1370,plain,
% 27.21/17.73 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1369, 1365])).
% 27.21/17.73 tff(1371,plain,
% 27.21/17.73 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB7)) | (~v127(constB7, 0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB7)) | (~v127(constB7, 0)))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1372,plain,
% 27.21/17.73 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB7)) | (~v127(constB7, 0)))),
% 27.21/17.73 inference(quant_inst,[status(thm)],[])).
% 27.21/17.73 tff(1373,plain,
% 27.21/17.73 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB7)) | (~v127(constB7, 0))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1372, 1371])).
% 27.21/17.73 tff(1374,plain,
% 27.21/17.73 ($false),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1373, 1370, 1344, 1363])).
% 27.21/17.73 tff(1375,plain,(~v127(constB7, 0)), inference(lemma,lemma(discharge,[]))).
% 27.21/17.73 tff(1376,plain,
% 27.21/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB7, constB8)) | v127(constB7, 0) | (~v129(constB8, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB7, constB8)) | v127(constB7, 0) | (~v129(constB8, 0)))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1377,plain,
% 27.21/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB7, constB8)) | v127(constB7, 0) | (~v129(constB8, 0)))),
% 27.21/17.73 inference(quant_inst,[status(thm)],[])).
% 27.21/17.73 tff(1378,plain,
% 27.21/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB7, constB8)) | v127(constB7, 0) | (~v129(constB8, 0))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1377, 1376])).
% 27.21/17.73 tff(1379,plain,
% 27.21/17.73 (v127(constB7, 0) | (~v129(constB8, 0))),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1378, 951, 1309])).
% 27.21/17.73 tff(1380,plain,
% 27.21/17.73 (~v129(constB8, 0)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1379, 1375])).
% 27.21/17.73 tff(1381,plain,
% 27.21/17.73 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB8, 0)) | v129(constB8, 0) | (~v100(constB8)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB8, 0)) | v129(constB8, 0) | (~v100(constB8)))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1382,plain,
% 27.21/17.73 (((~v90(constB8, 0)) | (~v100(constB8)) | v129(constB8, 0)) <=> ((~v90(constB8, 0)) | v129(constB8, 0) | (~v100(constB8)))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1383,plain,
% 27.21/17.73 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB8, 0)) | (~v100(constB8)) | v129(constB8, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB8, 0)) | v129(constB8, 0) | (~v100(constB8))))),
% 27.21/17.73 inference(monotonicity,[status(thm)],[1382])).
% 27.21/17.73 tff(1384,plain,
% 27.21/17.73 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB8, 0)) | (~v100(constB8)) | v129(constB8, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB8, 0)) | v129(constB8, 0) | (~v100(constB8)))),
% 27.21/17.73 inference(transitivity,[status(thm)],[1383, 1381])).
% 27.21/17.73 tff(1385,plain,
% 27.21/17.73 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB8, 0)) | (~v100(constB8)) | v129(constB8, 0))),
% 27.21/17.73 inference(quant_inst,[status(thm)],[])).
% 27.21/17.73 tff(1386,plain,
% 27.21/17.73 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB8, 0)) | v129(constB8, 0) | (~v100(constB8))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1385, 1384])).
% 27.21/17.73 tff(1387,plain,
% 27.21/17.73 ((~v90(constB8, 0)) | (~v100(constB8))),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1386, 966, 1380])).
% 27.21/17.73 tff(1388,plain,
% 27.21/17.73 (~v90(constB8, 0)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1387, 1343])).
% 27.21/17.73 tff(1389,plain,
% 27.21/17.73 ((~v1(constB9)) <=> (~v1(constB9))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1390,axiom,(~v1(constB9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_9_1_1')).
% 27.21/17.73 tff(1391,plain,
% 27.21/17.73 (~v1(constB9)),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1390, 1389])).
% 27.21/17.73 tff(1392,plain,
% 27.21/17.73 (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1393,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_8_1')).
% 27.21/17.73 tff(1394,plain,
% 27.21/17.73 (nextState(constB8, constB9)),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1393, 1392])).
% 27.21/17.73 tff(1395,plain,
% 27.21/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1396,plain,
% 27.21/17.73 (((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9)) <=> (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1397,plain,
% 27.21/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9))))),
% 27.21/17.73 inference(monotonicity,[status(thm)],[1396])).
% 27.21/17.73 tff(1398,plain,
% 27.21/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 27.21/17.73 inference(transitivity,[status(thm)],[1397, 1395])).
% 27.21/17.73 tff(1399,plain,
% 27.21/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))),
% 27.21/17.73 inference(quant_inst,[status(thm)],[])).
% 27.21/17.73 tff(1400,plain,
% 27.21/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1399, 1398])).
% 27.21/17.73 tff(1401,plain,
% 27.21/17.73 (~v101(constB9)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1400, 138, 1394, 1391])).
% 27.21/17.73 tff(1402,plain,
% 27.21/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1403,plain,
% 27.21/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))),
% 27.21/17.73 inference(quant_inst,[status(thm)],[])).
% 27.21/17.73 tff(1404,plain,
% 27.21/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1403, 1402])).
% 27.21/17.73 tff(1405,plain,
% 27.21/17.73 (v101(constB9) | (~v100(constB9))),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1404, 155, 1394])).
% 27.21/17.73 tff(1406,plain,
% 27.21/17.73 (~v100(constB9)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1405, 1401])).
% 27.21/17.73 tff(1407,plain,
% 27.21/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB8, 0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB8, 0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 0)))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1408,plain,
% 27.21/17.73 (((~nextState(constB8, constB9)) | v90(constB8, 0) | v100(constB9) | (~v90(constB9, 0))) <=> (v90(constB8, 0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 0)))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1409,plain,
% 27.21/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB8, constB9)) | v90(constB8, 0) | v100(constB9) | (~v90(constB9, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB8, 0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 0))))),
% 27.21/17.73 inference(monotonicity,[status(thm)],[1408])).
% 27.21/17.73 tff(1410,plain,
% 27.21/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB8, constB9)) | v90(constB8, 0) | v100(constB9) | (~v90(constB9, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB8, 0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 0)))),
% 27.21/17.73 inference(transitivity,[status(thm)],[1409, 1407])).
% 27.21/17.73 tff(1411,plain,
% 27.21/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB8, constB9)) | v90(constB8, 0) | v100(constB9) | (~v90(constB9, 0)))),
% 27.21/17.73 inference(quant_inst,[status(thm)],[])).
% 27.21/17.73 tff(1412,plain,
% 27.21/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB8, 0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 0))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1411, 1410])).
% 27.21/17.73 tff(1413,plain,
% 27.21/17.73 (v90(constB8, 0) | v100(constB9) | (~v90(constB9, 0))),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1412, 212, 1394])).
% 27.21/17.73 tff(1414,plain,
% 27.21/17.73 (v90(constB8, 0) | (~v90(constB9, 0))),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1413, 1406])).
% 27.21/17.73 tff(1415,plain,
% 27.21/17.73 (~v90(constB9, 0)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1414, 1388])).
% 27.21/17.73 tff(1416,assumption,(~v123(constB9)), introduced(assumption)).
% 27.21/17.73 tff(1417,assumption,(~v26(constB7)), introduced(assumption)).
% 27.21/17.73 tff(1418,plain,
% 27.21/17.73 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | (~v130(VarCurr, 1))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, 1))))),
% 27.21/17.73 inference(bind,[status(th)],[])).
% 27.21/17.73 tff(1419,plain,
% 27.21/17.73 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))),
% 27.21/17.73 inference(quant_intro,[status(thm)],[1418])).
% 27.21/17.73 tff(1420,plain,
% 27.21/17.73 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1421,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_2')).
% 27.21/17.73 tff(1422,plain,
% 27.21/17.73 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1421, 1420])).
% 27.21/17.73 tff(1423,plain,(
% 27.21/17.73 ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))),
% 27.21/17.73 inference(skolemize,[status(sab)],[1422])).
% 27.21/17.73 tff(1424,plain,
% 27.21/17.73 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1423, 1419])).
% 27.21/17.73 tff(1425,plain,
% 27.21/17.73 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB7)) | (~v130(constB7, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB7)) | (~v130(constB7, 1)))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1426,plain,
% 27.21/17.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB7)) | (~v130(constB7, 1)))),
% 27.21/17.73 inference(quant_inst,[status(thm)],[])).
% 27.21/17.73 tff(1427,plain,
% 27.21/17.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB7)) | (~v130(constB7, 1))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1426, 1425])).
% 27.21/17.73 tff(1428,plain,
% 27.21/17.73 (~v130(constB7, 1)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1427, 1424, 1265])).
% 27.21/17.73 tff(1429,plain,
% 27.21/17.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB7, 1)) | v26(constB7) | v130(constB7, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB7, 1)) | v26(constB7) | v130(constB7, 1))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1430,plain,
% 27.21/17.73 ((v26(constB7) | v130(constB7, 1) | (~v127(constB7, 1))) <=> ((~v127(constB7, 1)) | v26(constB7) | v130(constB7, 1))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1431,plain,
% 27.21/17.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB7) | v130(constB7, 1) | (~v127(constB7, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB7, 1)) | v26(constB7) | v130(constB7, 1)))),
% 27.21/17.73 inference(monotonicity,[status(thm)],[1430])).
% 27.21/17.73 tff(1432,plain,
% 27.21/17.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB7) | v130(constB7, 1) | (~v127(constB7, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB7, 1)) | v26(constB7) | v130(constB7, 1))),
% 27.21/17.73 inference(transitivity,[status(thm)],[1431, 1429])).
% 27.21/17.73 tff(1433,plain,
% 27.21/17.73 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB7) | v130(constB7, 1) | (~v127(constB7, 1)))),
% 27.21/17.73 inference(quant_inst,[status(thm)],[])).
% 27.21/17.73 tff(1434,plain,
% 27.21/17.73 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB7, 1)) | v26(constB7) | v130(constB7, 1)),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1433, 1432])).
% 27.21/17.73 tff(1435,plain,
% 27.21/17.73 ((~v127(constB7, 1)) | v26(constB7)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1434, 541, 1428])).
% 27.21/17.73 tff(1436,plain,
% 27.21/17.73 (~v127(constB7, 1)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1435, 1417])).
% 27.21/17.73 tff(1437,plain,
% 27.21/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB7, constB8)) | v127(constB7, 1) | (~v129(constB8, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB7, constB8)) | v127(constB7, 1) | (~v129(constB8, 1)))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1438,plain,
% 27.21/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB7, constB8)) | v127(constB7, 1) | (~v129(constB8, 1)))),
% 27.21/17.73 inference(quant_inst,[status(thm)],[])).
% 27.21/17.73 tff(1439,plain,
% 27.21/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB7, constB8)) | v127(constB7, 1) | (~v129(constB8, 1))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1438, 1437])).
% 27.21/17.73 tff(1440,plain,
% 27.21/17.73 (v127(constB7, 1) | (~v129(constB8, 1))),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1439, 559, 1309])).
% 27.21/17.73 tff(1441,plain,
% 27.21/17.73 (~v129(constB8, 1)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1440, 1436])).
% 27.21/17.73 tff(1442,assumption,(~v90(constB9, 0)), introduced(assumption)).
% 27.21/17.73 tff(1443,plain,
% 27.21/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB8, 0)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB8, 0)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 0))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1444,plain,
% 27.21/17.73 (((~nextState(constB8, constB9)) | (~v90(constB8, 0)) | v100(constB9) | v90(constB9, 0)) <=> ((~v90(constB8, 0)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 0))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1445,plain,
% 27.21/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB8, constB9)) | (~v90(constB8, 0)) | v100(constB9) | v90(constB9, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB8, 0)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 0)))),
% 27.21/17.73 inference(monotonicity,[status(thm)],[1444])).
% 27.21/17.73 tff(1446,plain,
% 27.21/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB8, constB9)) | (~v90(constB8, 0)) | v100(constB9) | v90(constB9, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB8, 0)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 0))),
% 27.21/17.73 inference(transitivity,[status(thm)],[1445, 1443])).
% 27.21/17.73 tff(1447,plain,
% 27.21/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB8, constB9)) | (~v90(constB8, 0)) | v100(constB9) | v90(constB9, 0))),
% 27.21/17.73 inference(quant_inst,[status(thm)],[])).
% 27.21/17.73 tff(1448,plain,
% 27.21/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB8, 0)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 0)),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1447, 1446])).
% 27.21/17.73 tff(1449,plain,
% 27.21/17.73 ((~v90(constB8, 0)) | v100(constB9) | v90(constB9, 0)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1448, 660, 1394])).
% 27.21/17.73 tff(1450,plain,
% 27.21/17.73 ((~v90(constB8, 0)) | v90(constB9, 0)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1449, 1406])).
% 27.21/17.73 tff(1451,plain,
% 27.21/17.73 (~v90(constB8, 0)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1450, 1442])).
% 27.21/17.73 tff(1452,plain,
% 27.21/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB7, 0)) | (~nextState(constB7, constB8)) | v100(constB8) | v90(constB8, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB7, 0)) | (~nextState(constB7, constB8)) | v100(constB8) | v90(constB8, 0))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1453,plain,
% 27.21/17.73 (((~nextState(constB7, constB8)) | (~v90(constB7, 0)) | v100(constB8) | v90(constB8, 0)) <=> ((~v90(constB7, 0)) | (~nextState(constB7, constB8)) | v100(constB8) | v90(constB8, 0))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1454,plain,
% 27.21/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB7, constB8)) | (~v90(constB7, 0)) | v100(constB8) | v90(constB8, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB7, 0)) | (~nextState(constB7, constB8)) | v100(constB8) | v90(constB8, 0)))),
% 27.21/17.73 inference(monotonicity,[status(thm)],[1453])).
% 27.21/17.73 tff(1455,plain,
% 27.21/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB7, constB8)) | (~v90(constB7, 0)) | v100(constB8) | v90(constB8, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB7, 0)) | (~nextState(constB7, constB8)) | v100(constB8) | v90(constB8, 0))),
% 27.21/17.73 inference(transitivity,[status(thm)],[1454, 1452])).
% 27.21/17.73 tff(1456,plain,
% 27.21/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB7, constB8)) | (~v90(constB7, 0)) | v100(constB8) | v90(constB8, 0))),
% 27.21/17.73 inference(quant_inst,[status(thm)],[])).
% 27.21/17.73 tff(1457,plain,
% 27.21/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB7, 0)) | (~nextState(constB7, constB8)) | v100(constB8) | v90(constB8, 0)),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1456, 1455])).
% 27.21/17.73 tff(1458,plain,
% 27.21/17.73 ((~v90(constB7, 0)) | v100(constB8) | v90(constB8, 0)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1457, 660, 1309])).
% 27.21/17.73 tff(1459,plain,
% 27.21/17.73 (v100(constB8) | v90(constB8, 0)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1458, 1148])).
% 27.21/17.73 tff(1460,plain,
% 27.21/17.73 (v100(constB8)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1459, 1451])).
% 27.21/17.73 tff(1461,plain,
% 27.21/17.73 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB8, 1)) | v129(constB8, 1) | (~v100(constB8)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB8, 1)) | v129(constB8, 1) | (~v100(constB8)))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1462,plain,
% 27.21/17.73 (((~v90(constB8, 1)) | (~v100(constB8)) | v129(constB8, 1)) <=> ((~v90(constB8, 1)) | v129(constB8, 1) | (~v100(constB8)))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1463,plain,
% 27.21/17.73 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB8, 1)) | (~v100(constB8)) | v129(constB8, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB8, 1)) | v129(constB8, 1) | (~v100(constB8))))),
% 27.21/17.73 inference(monotonicity,[status(thm)],[1462])).
% 27.21/17.73 tff(1464,plain,
% 27.21/17.73 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB8, 1)) | (~v100(constB8)) | v129(constB8, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB8, 1)) | v129(constB8, 1) | (~v100(constB8)))),
% 27.21/17.73 inference(transitivity,[status(thm)],[1463, 1461])).
% 27.21/17.73 tff(1465,plain,
% 27.21/17.73 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB8, 1)) | (~v100(constB8)) | v129(constB8, 1))),
% 27.21/17.73 inference(quant_inst,[status(thm)],[])).
% 27.21/17.73 tff(1466,plain,
% 27.21/17.73 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB8, 1)) | v129(constB8, 1) | (~v100(constB8))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1465, 1464])).
% 27.21/17.73 tff(1467,plain,
% 27.21/17.73 ((~v90(constB8, 1)) | v129(constB8, 1)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1466, 574, 1460])).
% 27.21/17.73 tff(1468,plain,
% 27.21/17.73 (~v90(constB8, 1)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1467, 1441])).
% 27.21/17.73 tff(1469,plain,
% 27.21/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB8, 1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB8, 1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 1)))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1470,plain,
% 27.21/17.73 (((~nextState(constB8, constB9)) | v90(constB8, 1) | v100(constB9) | (~v90(constB9, 1))) <=> (v90(constB8, 1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 1)))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1471,plain,
% 27.21/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB8, constB9)) | v90(constB8, 1) | v100(constB9) | (~v90(constB9, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB8, 1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 1))))),
% 27.21/17.73 inference(monotonicity,[status(thm)],[1470])).
% 27.21/17.73 tff(1472,plain,
% 27.21/17.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB8, constB9)) | v90(constB8, 1) | v100(constB9) | (~v90(constB9, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB8, 1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 1)))),
% 27.21/17.73 inference(transitivity,[status(thm)],[1471, 1469])).
% 27.21/17.73 tff(1473,plain,
% 27.21/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB8, constB9)) | v90(constB8, 1) | v100(constB9) | (~v90(constB9, 1)))),
% 27.21/17.73 inference(quant_inst,[status(thm)],[])).
% 27.21/17.73 tff(1474,plain,
% 27.21/17.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB8, 1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 1))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1473, 1472])).
% 27.21/17.73 tff(1475,plain,
% 27.21/17.73 (v90(constB8, 1) | v100(constB9) | (~v90(constB9, 1))),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1474, 191, 1394])).
% 27.21/17.73 tff(1476,plain,
% 27.21/17.73 (v90(constB8, 1) | (~v90(constB9, 1))),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1475, 1406])).
% 27.21/17.73 tff(1477,plain,
% 27.21/17.73 (~v90(constB9, 1)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1476, 1468])).
% 27.21/17.73 tff(1478,plain,
% 27.21/17.73 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | v130(VarCurr, 2)) <=> ((~v122(VarCurr)) | v130(VarCurr, 2)))),
% 27.21/17.73 inference(bind,[status(th)],[])).
% 27.21/17.73 tff(1479,plain,
% 27.21/17.73 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))),
% 27.21/17.73 inference(quant_intro,[status(thm)],[1478])).
% 27.21/17.73 tff(1480,plain,
% 27.21/17.73 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1481,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_3')).
% 27.21/17.73 tff(1482,plain,
% 27.21/17.73 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1481, 1480])).
% 27.21/17.73 tff(1483,plain,(
% 27.21/17.73 ![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))),
% 27.21/17.73 inference(skolemize,[status(sab)],[1482])).
% 27.21/17.73 tff(1484,plain,
% 27.21/17.73 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1483, 1479])).
% 27.21/17.73 tff(1485,plain,
% 27.21/17.73 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB7)) | v130(constB7, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB7)) | v130(constB7, 2))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1486,plain,
% 27.21/17.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB7)) | v130(constB7, 2))),
% 27.21/17.73 inference(quant_inst,[status(thm)],[])).
% 27.21/17.73 tff(1487,plain,
% 27.21/17.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB7)) | v130(constB7, 2)),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1486, 1485])).
% 27.21/17.73 tff(1488,plain,
% 27.21/17.73 (v130(constB7, 2)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1487, 1484, 1265])).
% 27.21/17.73 tff(1489,plain,
% 27.21/17.73 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2)) <=> (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2)))),
% 27.21/17.73 inference(bind,[status(th)],[])).
% 27.21/17.73 tff(1490,plain,
% 27.21/17.73 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 27.21/17.73 inference(quant_intro,[status(thm)],[1489])).
% 27.21/17.73 tff(1491,plain,
% 27.21/17.73 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1492,plain,
% 27.21/17.73 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v130(VarCurr, 2))) | v127(VarCurr, 2)) <=> (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2)))),
% 27.21/17.73 inference(bind,[status(th)],[])).
% 27.21/17.73 tff(1493,plain,
% 27.21/17.73 (![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, 2))) | v127(VarCurr, 2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 27.21/17.73 inference(quant_intro,[status(thm)],[1492])).
% 27.21/17.73 tff(1494,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, 2))) | v127(VarCurr, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_5')).
% 27.21/17.73 tff(1495,plain,
% 27.21/17.73 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1494, 1493])).
% 27.21/17.73 tff(1496,plain,
% 27.21/17.73 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1495, 1491])).
% 27.21/17.73 tff(1497,plain,(
% 27.21/17.73 ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 27.21/17.73 inference(skolemize,[status(sab)],[1496])).
% 27.21/17.73 tff(1498,plain,
% 27.21/17.73 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1497, 1490])).
% 27.21/17.73 tff(1499,plain,
% 27.21/17.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB7) | (~v130(constB7, 2)) | v127(constB7, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB7) | (~v130(constB7, 2)) | v127(constB7, 2))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1500,plain,
% 27.21/17.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB7) | (~v130(constB7, 2)) | v127(constB7, 2))),
% 27.21/17.73 inference(quant_inst,[status(thm)],[])).
% 27.21/17.73 tff(1501,plain,
% 27.21/17.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB7) | (~v130(constB7, 2)) | v127(constB7, 2)),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1500, 1499])).
% 27.21/17.73 tff(1502,plain,
% 27.21/17.73 (v26(constB7) | v127(constB7, 2)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1501, 1498, 1488])).
% 27.21/17.73 tff(1503,plain,
% 27.21/17.73 (v127(constB7, 2)),
% 27.21/17.73 inference(unit_resolution,[status(thm)],[1502, 1417])).
% 27.21/17.73 tff(1504,plain,
% 27.21/17.73 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2)))),
% 27.21/17.73 inference(bind,[status(th)],[])).
% 27.21/17.73 tff(1505,plain,
% 27.21/17.73 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 27.21/17.73 inference(quant_intro,[status(thm)],[1504])).
% 27.21/17.73 tff(1506,plain,
% 27.21/17.73 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 27.21/17.73 inference(rewrite,[status(thm)],[])).
% 27.21/17.73 tff(1507,plain,
% 27.21/17.73 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2))) | v129(VarNext, 2)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2)))),
% 27.21/17.73 inference(bind,[status(th)],[])).
% 27.21/17.73 tff(1508,plain,
% 27.21/17.73 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2))) | v129(VarNext, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 27.21/17.73 inference(quant_intro,[status(thm)],[1507])).
% 27.21/17.73 tff(1509,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2))) | v129(VarNext, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7_1_5')).
% 27.21/17.73 tff(1510,plain,
% 27.21/17.73 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1509, 1508])).
% 27.21/17.73 tff(1511,plain,
% 27.21/17.73 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1510, 1506])).
% 27.21/17.73 tff(1512,plain,(
% 27.21/17.73 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 27.21/17.73 inference(skolemize,[status(sab)],[1511])).
% 27.21/17.73 tff(1513,plain,
% 27.21/17.73 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 27.21/17.73 inference(modus_ponens,[status(thm)],[1512, 1505])).
% 27.21/17.74 tff(1514,plain,
% 27.21/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB7, constB8)) | (~v127(constB7, 2)) | v129(constB8, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB7, constB8)) | (~v127(constB7, 2)) | v129(constB8, 2))),
% 27.21/17.74 inference(rewrite,[status(thm)],[])).
% 27.21/17.74 tff(1515,plain,
% 27.21/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB7, constB8)) | (~v127(constB7, 2)) | v129(constB8, 2))),
% 27.21/17.74 inference(quant_inst,[status(thm)],[])).
% 27.21/17.74 tff(1516,plain,
% 27.21/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB7, constB8)) | (~v127(constB7, 2)) | v129(constB8, 2)),
% 27.21/17.74 inference(modus_ponens,[status(thm)],[1515, 1514])).
% 27.21/17.74 tff(1517,plain,
% 27.21/17.74 ((~v127(constB7, 2)) | v129(constB8, 2)),
% 27.21/17.74 inference(unit_resolution,[status(thm)],[1516, 1513, 1309])).
% 27.21/17.74 tff(1518,plain,
% 27.21/17.74 (v129(constB8, 2)),
% 27.21/17.74 inference(unit_resolution,[status(thm)],[1517, 1503])).
% 27.21/17.74 tff(1519,plain,
% 27.21/17.74 (^[VarNext: state_type] : refl((v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2))) <=> (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2))))),
% 27.21/17.74 inference(bind,[status(th)],[])).
% 27.21/17.74 tff(1520,plain,
% 27.21/17.74 (![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2))) <=> ![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 27.21/17.74 inference(quant_intro,[status(thm)],[1519])).
% 27.21/17.74 tff(1521,plain,
% 27.21/17.74 (![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2))) <=> ![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 27.21/17.74 inference(rewrite,[status(thm)],[])).
% 27.21/17.74 tff(1522,plain,
% 27.21/17.74 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v129(VarNext, 2))) | v90(VarNext, 2)) <=> (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2))))),
% 27.21/17.74 inference(bind,[status(th)],[])).
% 27.21/17.74 tff(1523,plain,
% 27.21/17.74 (![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, 2))) | v90(VarNext, 2)) <=> ![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 27.21/17.74 inference(quant_intro,[status(thm)],[1522])).
% 27.21/17.74 tff(1524,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, 2))) | v90(VarNext, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_5')).
% 27.21/17.74 tff(1525,plain,
% 27.21/17.74 (![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 27.21/17.74 inference(modus_ponens,[status(thm)],[1524, 1523])).
% 27.21/17.74 tff(1526,plain,
% 27.21/17.74 (![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 27.21/17.74 inference(modus_ponens,[status(thm)],[1525, 1521])).
% 27.21/17.74 tff(1527,plain,(
% 27.21/17.74 ![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 27.21/17.74 inference(skolemize,[status(sab)],[1526])).
% 27.21/17.74 tff(1528,plain,
% 27.21/17.74 (![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 27.21/17.74 inference(modus_ponens,[status(thm)],[1527, 1520])).
% 27.21/17.74 tff(1529,plain,
% 27.21/17.74 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB8, 2) | (~v129(constB8, 2)) | (~v100(constB8)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB8, 2) | (~v129(constB8, 2)) | (~v100(constB8)))),
% 27.21/17.74 inference(rewrite,[status(thm)],[])).
% 27.21/17.74 tff(1530,plain,
% 27.21/17.74 ((v90(constB8, 2) | (~v100(constB8)) | (~v129(constB8, 2))) <=> (v90(constB8, 2) | (~v129(constB8, 2)) | (~v100(constB8)))),
% 27.21/17.74 inference(rewrite,[status(thm)],[])).
% 27.21/17.74 tff(1531,plain,
% 27.21/17.74 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB8, 2) | (~v100(constB8)) | (~v129(constB8, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB8, 2) | (~v129(constB8, 2)) | (~v100(constB8))))),
% 27.21/17.74 inference(monotonicity,[status(thm)],[1530])).
% 27.21/17.74 tff(1532,plain,
% 27.21/17.74 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB8, 2) | (~v100(constB8)) | (~v129(constB8, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB8, 2) | (~v129(constB8, 2)) | (~v100(constB8)))),
% 27.21/17.74 inference(transitivity,[status(thm)],[1531, 1529])).
% 27.21/17.74 tff(1533,plain,
% 27.21/17.74 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB8, 2) | (~v100(constB8)) | (~v129(constB8, 2)))),
% 27.21/17.74 inference(quant_inst,[status(thm)],[])).
% 27.21/17.74 tff(1534,plain,
% 27.21/17.74 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB8, 2) | (~v129(constB8, 2)) | (~v100(constB8))),
% 27.21/17.74 inference(modus_ponens,[status(thm)],[1533, 1532])).
% 27.21/17.74 tff(1535,plain,
% 27.21/17.74 (v90(constB8, 2) | (~v129(constB8, 2))),
% 27.21/17.74 inference(unit_resolution,[status(thm)],[1534, 1528, 1460])).
% 27.21/17.74 tff(1536,plain,
% 27.21/17.74 (v90(constB8, 2)),
% 27.21/17.74 inference(unit_resolution,[status(thm)],[1535, 1518])).
% 27.21/17.74 tff(1537,plain,
% 27.21/17.74 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2)))),
% 27.21/17.74 inference(bind,[status(th)],[])).
% 27.21/17.74 tff(1538,plain,
% 27.21/17.74 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 27.21/17.74 inference(quant_intro,[status(thm)],[1537])).
% 27.21/17.74 tff(1539,plain,
% 27.21/17.74 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 27.21/17.74 inference(rewrite,[status(thm)],[])).
% 27.21/17.74 tff(1540,plain,
% 27.21/17.74 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))) | v90(VarNext, 2)) <=> (((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext)) | v90(VarNext, 2)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext)) | v90(VarNext, 2)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))) | v90(VarNext, 2)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))))),
% 27.21/17.74 inference(bind,[status(th)],[])).
% 27.21/17.74 tff(1541,plain,
% 27.21/17.74 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))) | v90(VarNext, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 27.21/17.74 inference(quant_intro,[status(thm)],[1540])).
% 27.21/17.74 tff(1542,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))) | v90(VarNext, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_5')).
% 27.21/17.74 tff(1543,plain,
% 27.21/17.74 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 27.21/17.74 inference(modus_ponens,[status(thm)],[1542, 1541])).
% 27.21/17.74 tff(1544,plain,
% 27.21/17.74 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 27.21/17.74 inference(modus_ponens,[status(thm)],[1543, 1539])).
% 27.21/17.74 tff(1545,plain,(
% 27.21/17.74 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 27.21/17.74 inference(skolemize,[status(sab)],[1544])).
% 27.21/17.74 tff(1546,plain,
% 27.21/17.74 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 27.21/17.74 inference(modus_ponens,[status(thm)],[1545, 1538])).
% 27.21/17.74 tff(1547,plain,
% 27.21/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB8, 2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB8, 2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 2))),
% 27.21/17.74 inference(rewrite,[status(thm)],[])).
% 27.21/17.74 tff(1548,plain,
% 27.21/17.74 (((~nextState(constB8, constB9)) | (~v90(constB8, 2)) | v100(constB9) | v90(constB9, 2)) <=> ((~v90(constB8, 2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 2))),
% 27.21/17.74 inference(rewrite,[status(thm)],[])).
% 27.21/17.74 tff(1549,plain,
% 27.21/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB8, constB9)) | (~v90(constB8, 2)) | v100(constB9) | v90(constB9, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB8, 2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 2)))),
% 27.21/17.74 inference(monotonicity,[status(thm)],[1548])).
% 27.21/17.74 tff(1550,plain,
% 27.21/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB8, constB9)) | (~v90(constB8, 2)) | v100(constB9) | v90(constB9, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB8, 2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 2))),
% 27.21/17.74 inference(transitivity,[status(thm)],[1549, 1547])).
% 27.21/17.74 tff(1551,plain,
% 27.21/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB8, constB9)) | (~v90(constB8, 2)) | v100(constB9) | v90(constB9, 2))),
% 27.21/17.74 inference(quant_inst,[status(thm)],[])).
% 27.21/17.74 tff(1552,plain,
% 27.21/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB8, 2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 2)),
% 27.21/17.74 inference(modus_ponens,[status(thm)],[1551, 1550])).
% 27.21/17.74 tff(1553,plain,
% 27.21/17.74 ((~v90(constB8, 2)) | v100(constB9) | v90(constB9, 2)),
% 27.21/17.74 inference(unit_resolution,[status(thm)],[1552, 1546, 1394])).
% 27.21/17.74 tff(1554,plain,
% 27.21/17.74 ((~v90(constB8, 2)) | v90(constB9, 2)),
% 27.21/17.74 inference(unit_resolution,[status(thm)],[1553, 1406])).
% 27.21/17.74 tff(1555,plain,
% 27.21/17.74 (v90(constB9, 2)),
% 27.21/17.74 inference(unit_resolution,[status(thm)],[1554, 1536])).
% 27.21/17.74 tff(1556,plain,
% 27.21/17.74 (^[VarCurr: state_type] : refl((v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr)) <=> (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr)))),
% 27.21/17.74 inference(bind,[status(th)],[])).
% 27.21/17.74 tff(1557,plain,
% 27.21/17.74 (![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 27.21/17.74 inference(quant_intro,[status(thm)],[1556])).
% 27.21/17.74 tff(1558,plain,
% 27.21/17.74 (![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 27.21/17.74 inference(rewrite,[status(thm)],[])).
% 27.21/17.74 tff(1559,plain,
% 27.21/17.74 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, 0) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))) <=> (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))), ((((v90(VarCurr, 0) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))) | v123(VarCurr)) <=> ((v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2))) | v123(VarCurr)))), rewrite(((v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2))) | v123(VarCurr)) <=> (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))), ((((v90(VarCurr, 0) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))) | v123(VarCurr)) <=> (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))))),
% 27.21/17.74 inference(bind,[status(th)],[])).
% 27.21/17.74 tff(1560,plain,
% 27.21/17.74 (![VarCurr: state_type] : (((v90(VarCurr, 0) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))) | v123(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 27.21/17.74 inference(quant_intro,[status(thm)],[1559])).
% 27.21/17.74 tff(1561,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 0) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))) | v123(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_1')).
% 27.21/17.74 tff(1562,plain,
% 27.21/17.74 (![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 27.21/17.74 inference(modus_ponens,[status(thm)],[1561, 1560])).
% 27.21/17.74 tff(1563,plain,
% 27.21/17.74 (![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 27.21/17.74 inference(modus_ponens,[status(thm)],[1562, 1558])).
% 27.21/17.74 tff(1564,plain,(
% 27.21/17.74 ![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 27.21/17.74 inference(skolemize,[status(sab)],[1563])).
% 27.21/17.74 tff(1565,plain,
% 27.21/17.74 (![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 27.21/17.74 inference(modus_ponens,[status(thm)],[1564, 1557])).
% 27.21/17.74 tff(1566,plain,
% 27.21/17.74 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB9, 0) | v90(constB9, 1) | (~v90(constB9, 2)) | v123(constB9))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB9, 0) | v90(constB9, 1) | (~v90(constB9, 2)) | v123(constB9))),
% 27.21/17.74 inference(rewrite,[status(thm)],[])).
% 27.21/17.74 tff(1567,plain,
% 27.21/17.74 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB9, 0) | v90(constB9, 1) | (~v90(constB9, 2)) | v123(constB9))),
% 27.21/17.74 inference(quant_inst,[status(thm)],[])).
% 27.21/17.74 tff(1568,plain,
% 27.21/17.74 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB9, 0) | v90(constB9, 1) | (~v90(constB9, 2)) | v123(constB9)),
% 27.21/17.74 inference(modus_ponens,[status(thm)],[1567, 1566])).
% 27.21/17.74 tff(1569,plain,
% 27.21/17.74 (v90(constB9, 1) | (~v90(constB9, 2)) | v123(constB9)),
% 27.21/17.74 inference(unit_resolution,[status(thm)],[1568, 1565, 1442])).
% 27.21/17.74 tff(1570,plain,
% 27.21/17.74 ($false),
% 27.21/17.74 inference(unit_resolution,[status(thm)],[1569, 1555, 1477, 1416])).
% 27.21/17.74 tff(1571,plain,(v26(constB7) | v123(constB9) | v90(constB9, 0)), inference(lemma,lemma(discharge,[]))).
% 27.21/17.74 tff(1572,plain,
% 27.21/17.74 (v123(constB9)),
% 27.21/17.74 inference(unit_resolution,[status(thm)],[1571, 1415, 114])).
% 27.21/17.74 tff(1573,plain,
% 27.21/17.74 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | v115(VarCurr)) <=> ((~v123(VarCurr)) | v115(VarCurr)))),
% 27.21/17.74 inference(bind,[status(th)],[])).
% 27.21/17.74 tff(1574,plain,
% 27.21/17.74 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 27.21/17.74 inference(quant_intro,[status(thm)],[1573])).
% 27.21/17.74 tff(1575,plain,
% 27.21/17.74 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 27.21/17.74 inference(rewrite,[status(thm)],[])).
% 27.21/17.74 tff(1576,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_1')).
% 27.21/17.74 tff(1577,plain,
% 27.21/17.74 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 27.21/17.74 inference(modus_ponens,[status(thm)],[1576, 1575])).
% 27.21/17.74 tff(1578,plain,(
% 27.21/17.74 ![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 27.21/17.74 inference(skolemize,[status(sab)],[1577])).
% 27.21/17.74 tff(1579,plain,
% 27.21/17.74 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 27.21/17.74 inference(modus_ponens,[status(thm)],[1578, 1574])).
% 27.21/17.74 tff(1580,plain,
% 27.21/17.74 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB9) | (~v123(constB9)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB9) | (~v123(constB9)))),
% 27.21/17.74 inference(rewrite,[status(thm)],[])).
% 27.21/17.74 tff(1581,plain,
% 27.21/17.74 (((~v123(constB9)) | v115(constB9)) <=> (v115(constB9) | (~v123(constB9)))),
% 27.21/17.74 inference(rewrite,[status(thm)],[])).
% 27.21/17.74 tff(1582,plain,
% 27.21/17.74 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB9)) | v115(constB9))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB9) | (~v123(constB9))))),
% 27.21/17.74 inference(monotonicity,[status(thm)],[1581])).
% 27.21/17.74 tff(1583,plain,
% 27.21/17.74 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB9)) | v115(constB9))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB9) | (~v123(constB9)))),
% 27.21/17.74 inference(transitivity,[status(thm)],[1582, 1580])).
% 27.21/17.74 tff(1584,plain,
% 27.21/17.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB9)) | v115(constB9))),
% 27.21/17.74 inference(quant_inst,[status(thm)],[])).
% 27.21/17.74 tff(1585,plain,
% 27.21/17.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB9) | (~v123(constB9))),
% 27.21/17.74 inference(modus_ponens,[status(thm)],[1584, 1583])).
% 27.21/17.74 tff(1586,plain,
% 27.21/17.74 (v115(constB9)),
% 27.21/17.74 inference(unit_resolution,[status(thm)],[1585, 1579, 1572])).
% 27.21/17.74 tff(1587,plain,
% 27.21/17.74 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB9) | (~v115(constB9)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB9) | (~v115(constB9)))),
% 27.21/17.74 inference(rewrite,[status(thm)],[])).
% 27.21/17.74 tff(1588,plain,
% 27.21/17.74 (((~v115(constB9)) | v114(constB9)) <=> (v114(constB9) | (~v115(constB9)))),
% 27.21/17.74 inference(rewrite,[status(thm)],[])).
% 27.21/17.74 tff(1589,plain,
% 27.21/17.74 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB9)) | v114(constB9))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB9) | (~v115(constB9))))),
% 27.21/17.74 inference(monotonicity,[status(thm)],[1588])).
% 27.21/17.74 tff(1590,plain,
% 27.21/17.74 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB9)) | v114(constB9))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB9) | (~v115(constB9)))),
% 27.21/17.74 inference(transitivity,[status(thm)],[1589, 1587])).
% 27.21/17.74 tff(1591,plain,
% 27.21/17.74 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB9)) | v114(constB9))),
% 27.21/17.74 inference(quant_inst,[status(thm)],[])).
% 27.21/17.74 tff(1592,plain,
% 27.21/17.74 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB9) | (~v115(constB9))),
% 27.21/17.74 inference(modus_ponens,[status(thm)],[1591, 1590])).
% 27.21/17.74 tff(1593,plain,
% 27.21/17.74 (v114(constB9)),
% 27.21/17.74 inference(unit_resolution,[status(thm)],[1592, 300, 1586])).
% 27.21/17.74 tff(1594,plain,
% 27.21/17.74 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB9)) | v113(constB9))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB9)) | v113(constB9))),
% 27.21/17.74 inference(rewrite,[status(thm)],[])).
% 27.21/17.74 tff(1595,plain,
% 27.21/17.74 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB9)) | v113(constB9))),
% 27.21/17.74 inference(quant_inst,[status(thm)],[])).
% 27.21/17.74 tff(1596,plain,
% 27.21/17.74 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB9)) | v113(constB9)),
% 27.21/17.74 inference(modus_ponens,[status(thm)],[1595, 1594])).
% 27.21/17.74 tff(1597,plain,
% 27.21/17.74 (v113(constB9)),
% 27.21/17.74 inference(unit_resolution,[status(thm)],[1596, 314, 1593])).
% 27.21/17.74 tff(1598,plain,
% 27.21/17.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | v112(constB9) | (~v113(constB9)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB9) | v112(constB9) | (~v113(constB9)))),
% 27.21/17.74 inference(rewrite,[status(thm)],[])).
% 27.21/17.74 tff(1599,plain,
% 27.21/17.74 ((v26(constB9) | (~v113(constB9)) | v112(constB9)) <=> (v26(constB9) | v112(constB9) | (~v113(constB9)))),
% 27.21/17.74 inference(rewrite,[status(thm)],[])).
% 27.21/17.74 tff(1600,plain,
% 27.21/17.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | (~v113(constB9)) | v112(constB9))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | v112(constB9) | (~v113(constB9))))),
% 27.21/17.74 inference(monotonicity,[status(thm)],[1599])).
% 27.21/17.74 tff(1601,plain,
% 27.21/17.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | (~v113(constB9)) | v112(constB9))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB9) | v112(constB9) | (~v113(constB9)))),
% 27.21/17.74 inference(transitivity,[status(thm)],[1600, 1598])).
% 27.21/17.74 tff(1602,plain,
% 27.21/17.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | (~v113(constB9)) | v112(constB9))),
% 27.21/17.74 inference(quant_inst,[status(thm)],[])).
% 27.21/17.74 tff(1603,plain,
% 27.21/17.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB9) | v112(constB9) | (~v113(constB9))),
% 27.21/17.74 inference(modus_ponens,[status(thm)],[1602, 1601])).
% 27.21/17.74 tff(1604,plain,
% 27.21/17.74 (v26(constB9) | v112(constB9)),
% 27.21/17.74 inference(unit_resolution,[status(thm)],[1603, 328, 1597])).
% 27.21/17.74 tff(1605,plain,
% 27.21/17.74 (v112(constB9)),
% 27.21/17.74 inference(unit_resolution,[status(thm)],[1604, 110])).
% 27.21/17.74 tff(1606,plain,
% 27.21/17.74 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB9) | (~v112(constB9)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v112(constB9)))),
% 27.21/17.74 inference(rewrite,[status(thm)],[])).
% 27.21/17.74 tff(1607,plain,
% 27.21/17.74 (((~v112(constB9)) | v108(constB9)) <=> (v108(constB9) | (~v112(constB9)))),
% 27.21/17.74 inference(rewrite,[status(thm)],[])).
% 27.21/17.74 tff(1608,plain,
% 27.21/17.74 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB9)) | v108(constB9))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB9) | (~v112(constB9))))),
% 27.21/17.74 inference(monotonicity,[status(thm)],[1607])).
% 27.21/17.74 tff(1609,plain,
% 27.21/17.74 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB9)) | v108(constB9))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v112(constB9)))),
% 27.21/17.74 inference(transitivity,[status(thm)],[1608, 1606])).
% 27.21/17.74 tff(1610,plain,
% 27.21/17.74 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB9)) | v108(constB9))),
% 27.21/17.74 inference(quant_inst,[status(thm)],[])).
% 27.21/17.74 tff(1611,plain,
% 27.21/17.74 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v112(constB9))),
% 27.21/17.74 inference(modus_ponens,[status(thm)],[1610, 1609])).
% 27.21/17.74 tff(1612,plain,
% 27.21/17.74 (v108(constB9)),
% 27.21/17.74 inference(unit_resolution,[status(thm)],[1611, 340, 1605])).
% 27.21/17.74 tff(1613,plain,
% 27.21/17.74 (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 27.21/17.74 inference(rewrite,[status(thm)],[])).
% 27.21/17.74 tff(1614,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_9_1')).
% 27.21/17.74 tff(1615,plain,
% 27.21/17.74 (nextState(constB9, constB10)),
% 27.21/17.74 inference(modus_ponens,[status(thm)],[1614, 1613])).
% 27.21/17.74 tff(1616,plain,
% 27.21/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 27.22/17.74 inference(rewrite,[status(thm)],[])).
% 27.22/17.74 tff(1617,plain,
% 27.22/17.74 (((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10)) <=> ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 27.22/17.74 inference(rewrite,[status(thm)],[])).
% 27.22/17.74 tff(1618,plain,
% 27.22/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9))))),
% 27.22/17.74 inference(monotonicity,[status(thm)],[1617])).
% 27.22/17.74 tff(1619,plain,
% 27.22/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 27.22/17.74 inference(transitivity,[status(thm)],[1618, 1616])).
% 27.22/17.74 tff(1620,plain,
% 27.22/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))),
% 27.22/17.74 inference(quant_inst,[status(thm)],[])).
% 27.22/17.74 tff(1621,plain,
% 27.22/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9))),
% 27.22/17.74 inference(modus_ponens,[status(thm)],[1620, 1619])).
% 27.22/17.74 tff(1622,plain,
% 27.22/17.74 (v110(constB10) | (~v108(constB9))),
% 27.22/17.74 inference(unit_resolution,[status(thm)],[1621, 360, 1615])).
% 27.22/17.74 tff(1623,plain,
% 27.22/17.74 (v110(constB10)),
% 27.22/17.74 inference(unit_resolution,[status(thm)],[1622, 1612])).
% 27.22/17.74 tff(1624,plain,
% 27.22/17.74 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))),
% 27.22/17.74 inference(rewrite,[status(thm)],[])).
% 27.22/17.74 tff(1625,plain,
% 27.22/17.74 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))),
% 27.22/17.74 inference(quant_inst,[status(thm)],[])).
% 27.22/17.74 tff(1626,plain,
% 27.22/17.74 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10))),
% 27.22/17.74 inference(modus_ponens,[status(thm)],[1625, 1624])).
% 27.22/17.74 tff(1627,plain,
% 27.22/17.74 (~v104(constB10)),
% 27.22/17.74 inference(unit_resolution,[status(thm)],[1626, 378, 1615, 1391])).
% 27.22/17.74 tff(1628,plain,
% 27.22/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))),
% 27.22/17.74 inference(rewrite,[status(thm)],[])).
% 27.22/17.74 tff(1629,plain,
% 27.22/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))),
% 27.22/17.74 inference(quant_inst,[status(thm)],[])).
% 27.22/17.74 tff(1630,plain,
% 27.22/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB9, constB10)) | v102(constB10) | v104(constB10)),
% 27.22/17.74 inference(modus_ponens,[status(thm)],[1629, 1628])).
% 27.22/17.74 tff(1631,plain,
% 27.22/17.74 (v102(constB10) | v104(constB10)),
% 27.22/17.74 inference(unit_resolution,[status(thm)],[1630, 392, 1615])).
% 27.22/17.74 tff(1632,plain,
% 27.22/17.74 (v102(constB10)),
% 27.22/17.74 inference(unit_resolution,[status(thm)],[1631, 1627])).
% 27.22/17.74 tff(1633,plain,
% 27.22/17.74 (v1(constB10) <=> v1(constB10)),
% 27.22/17.74 inference(rewrite,[status(thm)],[])).
% 27.22/17.74 tff(1634,axiom,(v1(constB10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_10_1')).
% 27.22/17.74 tff(1635,plain,
% 27.22/17.74 (v1(constB10)),
% 27.22/17.74 inference(modus_ponens,[status(thm)],[1634, 1633])).
% 27.22/17.74 tff(1636,plain,
% 27.22/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))),
% 27.22/17.74 inference(rewrite,[status(thm)],[])).
% 27.22/17.74 tff(1637,plain,
% 27.22/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))),
% 27.22/17.74 inference(quant_inst,[status(thm)],[])).
% 27.22/17.74 tff(1638,plain,
% 27.22/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10))),
% 27.22/17.74 inference(modus_ponens,[status(thm)],[1637, 1636])).
% 27.22/17.74 tff(1639,plain,
% 27.22/17.74 (v101(constB10) | (~v102(constB10))),
% 27.22/17.74 inference(unit_resolution,[status(thm)],[1638, 410, 1615, 1635])).
% 27.22/17.74 tff(1640,plain,
% 27.22/17.74 (v101(constB10)),
% 27.22/17.74 inference(unit_resolution,[status(thm)],[1639, 1632])).
% 27.22/17.74 tff(1641,plain,
% 27.22/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 27.22/17.74 inference(rewrite,[status(thm)],[])).
% 27.22/17.74 tff(1642,plain,
% 27.22/17.74 (((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10)) <=> ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 27.22/17.74 inference(rewrite,[status(thm)],[])).
% 27.22/17.74 tff(1643,plain,
% 27.22/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10))))),
% 27.22/17.74 inference(monotonicity,[status(thm)],[1642])).
% 27.22/17.74 tff(1644,plain,
% 27.22/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 27.22/17.74 inference(transitivity,[status(thm)],[1643, 1641])).
% 27.22/17.74 tff(1645,plain,
% 27.22/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))),
% 27.22/17.74 inference(quant_inst,[status(thm)],[])).
% 27.22/17.74 tff(1646,plain,
% 27.22/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10))),
% 27.22/17.74 inference(modus_ponens,[status(thm)],[1645, 1644])).
% 27.22/17.74 tff(1647,plain,
% 27.22/17.74 (v100(constB10) | (~v101(constB10)) | (~v110(constB10))),
% 27.22/17.74 inference(unit_resolution,[status(thm)],[1646, 425, 1615])).
% 27.22/17.74 tff(1648,plain,
% 27.22/17.74 (v100(constB10) | (~v110(constB10))),
% 27.22/17.74 inference(unit_resolution,[status(thm)],[1647, 1640])).
% 27.22/17.74 tff(1649,plain,
% 27.22/17.74 (v100(constB10)),
% 27.22/17.74 inference(unit_resolution,[status(thm)],[1648, 1623])).
% 27.22/17.74 tff(1650,plain,
% 27.22/17.74 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | v130(VarCurr, 2)) <=> ((~v123(VarCurr)) | v130(VarCurr, 2)))),
% 27.22/17.74 inference(bind,[status(th)],[])).
% 27.22/17.74 tff(1651,plain,
% 27.22/17.74 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))),
% 27.22/17.74 inference(quant_intro,[status(thm)],[1650])).
% 27.22/17.74 tff(1652,plain,
% 27.22/17.74 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))),
% 27.22/17.74 inference(rewrite,[status(thm)],[])).
% 27.22/17.74 tff(1653,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_3')).
% 27.22/17.74 tff(1654,plain,
% 27.22/17.74 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))),
% 27.22/17.74 inference(modus_ponens,[status(thm)],[1653, 1652])).
% 27.22/17.74 tff(1655,plain,(
% 27.22/17.74 ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))),
% 27.22/17.74 inference(skolemize,[status(sab)],[1654])).
% 27.22/17.74 tff(1656,plain,
% 27.22/17.74 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))),
% 27.22/17.74 inference(modus_ponens,[status(thm)],[1655, 1651])).
% 27.22/17.74 tff(1657,plain,
% 27.22/17.74 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB9)) | v130(constB9, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB9)) | v130(constB9, 2))),
% 27.22/17.74 inference(rewrite,[status(thm)],[])).
% 27.22/17.74 tff(1658,plain,
% 27.22/17.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB9)) | v130(constB9, 2))),
% 27.22/17.74 inference(quant_inst,[status(thm)],[])).
% 27.22/17.74 tff(1659,plain,
% 27.22/17.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB9)) | v130(constB9, 2)),
% 27.22/17.74 inference(modus_ponens,[status(thm)],[1658, 1657])).
% 27.22/17.74 tff(1660,plain,
% 27.22/17.74 (v130(constB9, 2)),
% 27.22/17.74 inference(unit_resolution,[status(thm)],[1659, 1656, 1572])).
% 27.22/17.74 tff(1661,plain,
% 27.22/17.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB9) | (~v130(constB9, 2)) | v127(constB9, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB9) | (~v130(constB9, 2)) | v127(constB9, 2))),
% 27.22/17.74 inference(rewrite,[status(thm)],[])).
% 27.22/17.74 tff(1662,plain,
% 27.22/17.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB9) | (~v130(constB9, 2)) | v127(constB9, 2))),
% 27.22/17.74 inference(quant_inst,[status(thm)],[])).
% 27.22/17.74 tff(1663,plain,
% 27.22/17.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB9) | (~v130(constB9, 2)) | v127(constB9, 2)),
% 27.22/17.74 inference(modus_ponens,[status(thm)],[1662, 1661])).
% 27.22/17.74 tff(1664,plain,
% 27.22/17.74 (v26(constB9) | v127(constB9, 2)),
% 27.22/17.74 inference(unit_resolution,[status(thm)],[1663, 1498, 1660])).
% 27.22/17.74 tff(1665,plain,
% 27.22/17.74 (v127(constB9, 2)),
% 27.22/17.74 inference(unit_resolution,[status(thm)],[1664, 110])).
% 27.22/17.74 tff(1666,plain,
% 27.22/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB9, constB10)) | (~v127(constB9, 2)) | v129(constB10, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB9, constB10)) | (~v127(constB9, 2)) | v129(constB10, 2))),
% 27.22/17.74 inference(rewrite,[status(thm)],[])).
% 27.22/17.74 tff(1667,plain,
% 27.22/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB9, constB10)) | (~v127(constB9, 2)) | v129(constB10, 2))),
% 27.22/17.74 inference(quant_inst,[status(thm)],[])).
% 27.22/17.74 tff(1668,plain,
% 27.22/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB9, constB10)) | (~v127(constB9, 2)) | v129(constB10, 2)),
% 27.22/17.74 inference(modus_ponens,[status(thm)],[1667, 1666])).
% 27.22/17.74 tff(1669,plain,
% 27.22/17.74 ((~v127(constB9, 2)) | v129(constB10, 2)),
% 27.22/17.74 inference(unit_resolution,[status(thm)],[1668, 1513, 1615])).
% 27.22/17.74 tff(1670,plain,
% 27.22/17.74 (v129(constB10, 2)),
% 27.22/17.74 inference(unit_resolution,[status(thm)],[1669, 1665])).
% 27.22/17.74 tff(1671,plain,
% 27.22/17.74 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB10, 2) | (~v129(constB10, 2)) | (~v100(constB10)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB10, 2) | (~v129(constB10, 2)) | (~v100(constB10)))),
% 27.22/17.74 inference(rewrite,[status(thm)],[])).
% 27.22/17.74 tff(1672,plain,
% 27.22/17.74 ((v90(constB10, 2) | (~v100(constB10)) | (~v129(constB10, 2))) <=> (v90(constB10, 2) | (~v129(constB10, 2)) | (~v100(constB10)))),
% 27.22/17.74 inference(rewrite,[status(thm)],[])).
% 27.22/17.74 tff(1673,plain,
% 27.22/17.74 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB10, 2) | (~v100(constB10)) | (~v129(constB10, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB10, 2) | (~v129(constB10, 2)) | (~v100(constB10))))),
% 27.22/17.74 inference(monotonicity,[status(thm)],[1672])).
% 27.22/17.74 tff(1674,plain,
% 27.22/17.74 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB10, 2) | (~v100(constB10)) | (~v129(constB10, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB10, 2) | (~v129(constB10, 2)) | (~v100(constB10)))),
% 27.22/17.74 inference(transitivity,[status(thm)],[1673, 1671])).
% 27.22/17.74 tff(1675,plain,
% 27.22/17.74 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB10, 2) | (~v100(constB10)) | (~v129(constB10, 2)))),
% 27.22/17.74 inference(quant_inst,[status(thm)],[])).
% 27.22/17.74 tff(1676,plain,
% 27.22/17.74 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB10, 2) | (~v129(constB10, 2)) | (~v100(constB10))),
% 27.22/17.74 inference(modus_ponens,[status(thm)],[1675, 1674])).
% 27.22/17.74 tff(1677,plain,
% 27.22/17.74 (v90(constB10, 2) | (~v100(constB10))),
% 27.22/17.74 inference(unit_resolution,[status(thm)],[1676, 1528, 1670])).
% 27.22/17.74 tff(1678,plain,
% 27.22/17.74 (v90(constB10, 2)),
% 27.22/17.74 inference(unit_resolution,[status(thm)],[1677, 1649])).
% 27.22/17.74 tff(1679,plain,
% 27.22/17.74 ((~v1(constB11)) <=> (~v1(constB11))),
% 27.22/17.74 inference(rewrite,[status(thm)],[])).
% 27.22/17.74 tff(1680,axiom,(~v1(constB11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_11_1_1')).
% 27.22/17.74 tff(1681,plain,
% 27.22/17.74 (~v1(constB11)),
% 27.22/17.74 inference(modus_ponens,[status(thm)],[1680, 1679])).
% 27.22/17.74 tff(1682,plain,
% 27.22/17.74 (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 27.22/17.74 inference(rewrite,[status(thm)],[])).
% 27.22/17.74 tff(1683,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_10_1')).
% 27.22/17.74 tff(1684,plain,
% 27.22/17.74 (nextState(constB10, constB11)),
% 27.22/17.74 inference(modus_ponens,[status(thm)],[1683, 1682])).
% 27.22/17.74 tff(1685,plain,
% 27.22/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 27.22/17.74 inference(rewrite,[status(thm)],[])).
% 27.22/17.74 tff(1686,plain,
% 27.22/17.74 (((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11)) <=> (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 27.22/17.74 inference(rewrite,[status(thm)],[])).
% 27.22/17.74 tff(1687,plain,
% 27.22/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11))))),
% 27.22/17.74 inference(monotonicity,[status(thm)],[1686])).
% 27.22/17.74 tff(1688,plain,
% 27.22/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 27.22/17.74 inference(transitivity,[status(thm)],[1687, 1685])).
% 27.22/17.74 tff(1689,plain,
% 27.22/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))),
% 27.22/17.74 inference(quant_inst,[status(thm)],[])).
% 27.22/17.74 tff(1690,plain,
% 27.22/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11))),
% 27.22/17.74 inference(modus_ponens,[status(thm)],[1689, 1688])).
% 27.22/17.74 tff(1691,plain,
% 27.22/17.74 (~v101(constB11)),
% 27.22/17.74 inference(unit_resolution,[status(thm)],[1690, 138, 1684, 1681])).
% 27.22/17.74 tff(1692,plain,
% 27.22/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))),
% 27.22/17.74 inference(rewrite,[status(thm)],[])).
% 27.22/17.74 tff(1693,plain,
% 27.22/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))),
% 27.22/17.74 inference(quant_inst,[status(thm)],[])).
% 27.22/17.74 tff(1694,plain,
% 27.22/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11))),
% 27.22/17.74 inference(modus_ponens,[status(thm)],[1693, 1692])).
% 27.22/17.74 tff(1695,plain,
% 27.22/17.74 (v101(constB11) | (~v100(constB11))),
% 27.22/17.74 inference(unit_resolution,[status(thm)],[1694, 155, 1684])).
% 27.22/17.74 tff(1696,plain,
% 27.22/17.74 (~v100(constB11)),
% 27.22/17.74 inference(unit_resolution,[status(thm)],[1695, 1691])).
% 27.22/17.74 tff(1697,plain,
% 27.22/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB10, 2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB10, 2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 2))),
% 27.22/17.74 inference(rewrite,[status(thm)],[])).
% 27.22/17.74 tff(1698,plain,
% 27.22/17.74 (((~nextState(constB10, constB11)) | (~v90(constB10, 2)) | v100(constB11) | v90(constB11, 2)) <=> ((~v90(constB10, 2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 2))),
% 27.22/17.74 inference(rewrite,[status(thm)],[])).
% 27.22/17.74 tff(1699,plain,
% 27.22/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB10, constB11)) | (~v90(constB10, 2)) | v100(constB11) | v90(constB11, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB10, 2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 2)))),
% 27.22/17.74 inference(monotonicity,[status(thm)],[1698])).
% 27.22/17.74 tff(1700,plain,
% 27.22/17.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB10, constB11)) | (~v90(constB10, 2)) | v100(constB11) | v90(constB11, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB10, 2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 2))),
% 27.22/17.74 inference(transitivity,[status(thm)],[1699, 1697])).
% 27.22/17.74 tff(1701,plain,
% 27.22/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB10, constB11)) | (~v90(constB10, 2)) | v100(constB11) | v90(constB11, 2))),
% 27.22/17.74 inference(quant_inst,[status(thm)],[])).
% 27.22/17.74 tff(1702,plain,
% 27.22/17.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB10, 2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 2)),
% 27.22/17.74 inference(modus_ponens,[status(thm)],[1701, 1700])).
% 27.22/17.74 tff(1703,plain,
% 27.22/17.74 ((~v90(constB10, 2)) | v100(constB11) | v90(constB11, 2)),
% 27.22/17.74 inference(unit_resolution,[status(thm)],[1702, 1546, 1684])).
% 27.22/17.74 tff(1704,plain,
% 27.22/17.74 ((~v90(constB10, 2)) | v90(constB11, 2)),
% 27.22/17.74 inference(unit_resolution,[status(thm)],[1703, 1696])).
% 27.22/17.74 tff(1705,plain,
% 27.22/17.74 (v90(constB11, 2)),
% 27.22/17.74 inference(unit_resolution,[status(thm)],[1704, 1678])).
% 27.22/17.74 tff(1706,plain,
% 27.22/17.74 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | (~v130(VarCurr, 1))) <=> ((~v123(VarCurr)) | (~v130(VarCurr, 1))))),
% 27.22/17.74 inference(bind,[status(th)],[])).
% 27.22/17.74 tff(1707,plain,
% 27.22/17.74 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))),
% 27.22/17.74 inference(quant_intro,[status(thm)],[1706])).
% 27.22/17.74 tff(1708,plain,
% 27.22/17.74 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))),
% 27.22/17.74 inference(rewrite,[status(thm)],[])).
% 27.22/17.74 tff(1709,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_2')).
% 27.22/17.74 tff(1710,plain,
% 27.22/17.74 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))),
% 27.22/17.74 inference(modus_ponens,[status(thm)],[1709, 1708])).
% 27.22/17.74 tff(1711,plain,(
% 27.22/17.74 ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))),
% 27.22/17.74 inference(skolemize,[status(sab)],[1710])).
% 27.22/17.74 tff(1712,plain,
% 27.22/17.74 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))),
% 27.22/17.74 inference(modus_ponens,[status(thm)],[1711, 1707])).
% 27.22/17.74 tff(1713,plain,
% 27.22/17.74 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB9)) | (~v130(constB9, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB9)) | (~v130(constB9, 1)))),
% 27.22/17.74 inference(rewrite,[status(thm)],[])).
% 27.22/17.74 tff(1714,plain,
% 27.22/17.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB9)) | (~v130(constB9, 1)))),
% 27.22/17.74 inference(quant_inst,[status(thm)],[])).
% 27.22/17.74 tff(1715,plain,
% 27.22/17.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB9)) | (~v130(constB9, 1))),
% 27.22/17.74 inference(modus_ponens,[status(thm)],[1714, 1713])).
% 27.22/17.74 tff(1716,plain,
% 27.22/17.74 (~v130(constB9, 1)),
% 27.22/17.74 inference(unit_resolution,[status(thm)],[1715, 1712, 1572])).
% 27.22/17.74 tff(1717,plain,
% 27.22/17.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB9, 1)) | v26(constB9) | v130(constB9, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB9, 1)) | v26(constB9) | v130(constB9, 1))),
% 27.22/17.74 inference(rewrite,[status(thm)],[])).
% 27.22/17.74 tff(1718,plain,
% 27.22/17.74 ((v26(constB9) | v130(constB9, 1) | (~v127(constB9, 1))) <=> ((~v127(constB9, 1)) | v26(constB9) | v130(constB9, 1))),
% 27.22/17.74 inference(rewrite,[status(thm)],[])).
% 27.22/17.74 tff(1719,plain,
% 27.22/17.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB9) | v130(constB9, 1) | (~v127(constB9, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB9, 1)) | v26(constB9) | v130(constB9, 1)))),
% 27.22/17.75 inference(monotonicity,[status(thm)],[1718])).
% 27.22/17.75 tff(1720,plain,
% 27.22/17.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB9) | v130(constB9, 1) | (~v127(constB9, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB9, 1)) | v26(constB9) | v130(constB9, 1))),
% 27.22/17.75 inference(transitivity,[status(thm)],[1719, 1717])).
% 27.22/17.75 tff(1721,plain,
% 27.22/17.75 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB9) | v130(constB9, 1) | (~v127(constB9, 1)))),
% 27.22/17.75 inference(quant_inst,[status(thm)],[])).
% 27.22/17.75 tff(1722,plain,
% 27.22/17.75 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB9, 1)) | v26(constB9) | v130(constB9, 1)),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1721, 1720])).
% 27.22/17.75 tff(1723,plain,
% 27.22/17.75 ((~v127(constB9, 1)) | v26(constB9)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1722, 541, 1716])).
% 27.22/17.75 tff(1724,plain,
% 27.22/17.75 (~v127(constB9, 1)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1723, 110])).
% 27.22/17.75 tff(1725,plain,
% 27.22/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB9, constB10)) | v127(constB9, 1) | (~v129(constB10, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB9, constB10)) | v127(constB9, 1) | (~v129(constB10, 1)))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1726,plain,
% 27.22/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB9, constB10)) | v127(constB9, 1) | (~v129(constB10, 1)))),
% 27.22/17.75 inference(quant_inst,[status(thm)],[])).
% 27.22/17.75 tff(1727,plain,
% 27.22/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB9, constB10)) | v127(constB9, 1) | (~v129(constB10, 1))),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1726, 1725])).
% 27.22/17.75 tff(1728,plain,
% 27.22/17.75 (v127(constB9, 1) | (~v129(constB10, 1))),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1727, 559, 1615])).
% 27.22/17.75 tff(1729,plain,
% 27.22/17.75 (~v129(constB10, 1)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1728, 1724])).
% 27.22/17.75 tff(1730,plain,
% 27.22/17.75 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB10, 1)) | v129(constB10, 1) | (~v100(constB10)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB10, 1)) | v129(constB10, 1) | (~v100(constB10)))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1731,plain,
% 27.22/17.75 (((~v90(constB10, 1)) | (~v100(constB10)) | v129(constB10, 1)) <=> ((~v90(constB10, 1)) | v129(constB10, 1) | (~v100(constB10)))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1732,plain,
% 27.22/17.75 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB10, 1)) | (~v100(constB10)) | v129(constB10, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB10, 1)) | v129(constB10, 1) | (~v100(constB10))))),
% 27.22/17.75 inference(monotonicity,[status(thm)],[1731])).
% 27.22/17.75 tff(1733,plain,
% 27.22/17.75 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB10, 1)) | (~v100(constB10)) | v129(constB10, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB10, 1)) | v129(constB10, 1) | (~v100(constB10)))),
% 27.22/17.75 inference(transitivity,[status(thm)],[1732, 1730])).
% 27.22/17.75 tff(1734,plain,
% 27.22/17.75 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB10, 1)) | (~v100(constB10)) | v129(constB10, 1))),
% 27.22/17.75 inference(quant_inst,[status(thm)],[])).
% 27.22/17.75 tff(1735,plain,
% 27.22/17.75 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB10, 1)) | v129(constB10, 1) | (~v100(constB10))),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1734, 1733])).
% 27.22/17.75 tff(1736,plain,
% 27.22/17.75 ((~v90(constB10, 1)) | (~v100(constB10))),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1735, 574, 1729])).
% 27.22/17.75 tff(1737,plain,
% 27.22/17.75 (~v90(constB10, 1)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1736, 1649])).
% 27.22/17.75 tff(1738,plain,
% 27.22/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB10, 1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB10, 1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 1)))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1739,plain,
% 27.22/17.75 (((~nextState(constB10, constB11)) | v90(constB10, 1) | v100(constB11) | (~v90(constB11, 1))) <=> (v90(constB10, 1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 1)))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1740,plain,
% 27.22/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB10, constB11)) | v90(constB10, 1) | v100(constB11) | (~v90(constB11, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB10, 1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 1))))),
% 27.22/17.75 inference(monotonicity,[status(thm)],[1739])).
% 27.22/17.75 tff(1741,plain,
% 27.22/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB10, constB11)) | v90(constB10, 1) | v100(constB11) | (~v90(constB11, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB10, 1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 1)))),
% 27.22/17.75 inference(transitivity,[status(thm)],[1740, 1738])).
% 27.22/17.75 tff(1742,plain,
% 27.22/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB10, constB11)) | v90(constB10, 1) | v100(constB11) | (~v90(constB11, 1)))),
% 27.22/17.75 inference(quant_inst,[status(thm)],[])).
% 27.22/17.75 tff(1743,plain,
% 27.22/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB10, 1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 1))),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1742, 1741])).
% 27.22/17.75 tff(1744,plain,
% 27.22/17.75 (v90(constB10, 1) | v100(constB11) | (~v90(constB11, 1))),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1743, 191, 1684])).
% 27.22/17.75 tff(1745,plain,
% 27.22/17.75 (v90(constB10, 1) | (~v90(constB11, 1))),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1744, 1696])).
% 27.22/17.75 tff(1746,plain,
% 27.22/17.75 (~v90(constB11, 1)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1745, 1737])).
% 27.22/17.75 tff(1747,plain,
% 27.22/17.75 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | v130(VarCurr, 0)) <=> ((~v123(VarCurr)) | v130(VarCurr, 0)))),
% 27.22/17.75 inference(bind,[status(th)],[])).
% 27.22/17.75 tff(1748,plain,
% 27.22/17.75 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))),
% 27.22/17.75 inference(quant_intro,[status(thm)],[1747])).
% 27.22/17.75 tff(1749,plain,
% 27.22/17.75 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1750,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_1')).
% 27.22/17.75 tff(1751,plain,
% 27.22/17.75 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1750, 1749])).
% 27.22/17.75 tff(1752,plain,(
% 27.22/17.75 ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))),
% 27.22/17.75 inference(skolemize,[status(sab)],[1751])).
% 27.22/17.75 tff(1753,plain,
% 27.22/17.75 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1752, 1748])).
% 27.22/17.75 tff(1754,plain,
% 27.22/17.75 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB9)) | v130(constB9, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB9)) | v130(constB9, 0))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1755,plain,
% 27.22/17.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB9)) | v130(constB9, 0))),
% 27.22/17.75 inference(quant_inst,[status(thm)],[])).
% 27.22/17.75 tff(1756,plain,
% 27.22/17.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB9)) | v130(constB9, 0)),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1755, 1754])).
% 27.22/17.75 tff(1757,plain,
% 27.22/17.75 (v130(constB9, 0)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1756, 1753, 1572])).
% 27.22/17.75 tff(1758,plain,
% 27.22/17.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB9) | (~v130(constB9, 0)) | v127(constB9, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB9) | (~v130(constB9, 0)) | v127(constB9, 0))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1759,plain,
% 27.22/17.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB9) | (~v130(constB9, 0)) | v127(constB9, 0))),
% 27.22/17.75 inference(quant_inst,[status(thm)],[])).
% 27.22/17.75 tff(1760,plain,
% 27.22/17.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB9) | (~v130(constB9, 0)) | v127(constB9, 0)),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1759, 1758])).
% 27.22/17.75 tff(1761,plain,
% 27.22/17.75 (v26(constB9) | v127(constB9, 0)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1760, 612, 1757])).
% 27.22/17.75 tff(1762,plain,
% 27.22/17.75 (v127(constB9, 0)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1761, 110])).
% 27.22/17.75 tff(1763,plain,
% 27.22/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB9, constB10)) | (~v127(constB9, 0)) | v129(constB10, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB9, constB10)) | (~v127(constB9, 0)) | v129(constB10, 0))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1764,plain,
% 27.22/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB9, constB10)) | (~v127(constB9, 0)) | v129(constB10, 0))),
% 27.22/17.75 inference(quant_inst,[status(thm)],[])).
% 27.22/17.75 tff(1765,plain,
% 27.22/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB9, constB10)) | (~v127(constB9, 0)) | v129(constB10, 0)),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1764, 1763])).
% 27.22/17.75 tff(1766,plain,
% 27.22/17.75 ((~v127(constB9, 0)) | v129(constB10, 0)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1765, 627, 1615])).
% 27.22/17.75 tff(1767,plain,
% 27.22/17.75 (v129(constB10, 0)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1766, 1762])).
% 27.22/17.75 tff(1768,plain,
% 27.22/17.75 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB10, 0) | (~v129(constB10, 0)) | (~v100(constB10)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB10, 0) | (~v129(constB10, 0)) | (~v100(constB10)))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1769,plain,
% 27.22/17.75 ((v90(constB10, 0) | (~v100(constB10)) | (~v129(constB10, 0))) <=> (v90(constB10, 0) | (~v129(constB10, 0)) | (~v100(constB10)))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1770,plain,
% 27.22/17.75 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB10, 0) | (~v100(constB10)) | (~v129(constB10, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB10, 0) | (~v129(constB10, 0)) | (~v100(constB10))))),
% 27.22/17.75 inference(monotonicity,[status(thm)],[1769])).
% 27.22/17.75 tff(1771,plain,
% 27.22/17.75 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB10, 0) | (~v100(constB10)) | (~v129(constB10, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB10, 0) | (~v129(constB10, 0)) | (~v100(constB10)))),
% 27.22/17.75 inference(transitivity,[status(thm)],[1770, 1768])).
% 27.22/17.75 tff(1772,plain,
% 27.22/17.75 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB10, 0) | (~v100(constB10)) | (~v129(constB10, 0)))),
% 27.22/17.75 inference(quant_inst,[status(thm)],[])).
% 27.22/17.75 tff(1773,plain,
% 27.22/17.75 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB10, 0) | (~v129(constB10, 0)) | (~v100(constB10))),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1772, 1771])).
% 27.22/17.75 tff(1774,plain,
% 27.22/17.75 (v90(constB10, 0) | (~v100(constB10))),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1773, 642, 1767])).
% 27.22/17.75 tff(1775,plain,
% 27.22/17.75 (v90(constB10, 0)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1774, 1649])).
% 27.22/17.75 tff(1776,plain,
% 27.22/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB10, 0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB10, 0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 0))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1777,plain,
% 27.22/17.75 (((~nextState(constB10, constB11)) | (~v90(constB10, 0)) | v100(constB11) | v90(constB11, 0)) <=> ((~v90(constB10, 0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 0))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1778,plain,
% 27.22/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, 0)) | v100(constB11) | v90(constB11, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB10, 0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 0)))),
% 27.22/17.75 inference(monotonicity,[status(thm)],[1777])).
% 27.22/17.75 tff(1779,plain,
% 27.22/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, 0)) | v100(constB11) | v90(constB11, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB10, 0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 0))),
% 27.22/17.75 inference(transitivity,[status(thm)],[1778, 1776])).
% 27.22/17.75 tff(1780,plain,
% 27.22/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, 0)) | v100(constB11) | v90(constB11, 0))),
% 27.22/17.75 inference(quant_inst,[status(thm)],[])).
% 27.22/17.75 tff(1781,plain,
% 27.22/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB10, 0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 0)),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1780, 1779])).
% 27.22/17.75 tff(1782,plain,
% 27.22/17.75 ((~v90(constB10, 0)) | v100(constB11) | v90(constB11, 0)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1781, 660, 1684])).
% 27.22/17.75 tff(1783,plain,
% 27.22/17.75 ((~v90(constB10, 0)) | v90(constB11, 0)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1782, 1696])).
% 27.22/17.75 tff(1784,plain,
% 27.22/17.75 (v90(constB11, 0)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1783, 1775])).
% 27.22/17.75 tff(1785,plain,
% 27.22/17.75 (^[VarCurr: state_type] : refl(((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr)) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr)))),
% 27.22/17.75 inference(bind,[status(th)],[])).
% 27.22/17.75 tff(1786,plain,
% 27.22/17.75 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 27.22/17.75 inference(quant_intro,[status(thm)],[1785])).
% 27.22/17.75 tff(1787,plain,
% 27.22/17.75 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1788,plain,
% 27.22/17.75 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, 1) | (~v90(VarCurr, 0))) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1))), (((v90(VarCurr, 1) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 2))) <=> (((~v90(VarCurr, 0)) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))))), rewrite((((~v90(VarCurr, 0)) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))), (((v90(VarCurr, 1) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 2))) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2))))), ((((v90(VarCurr, 1) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 2))) | v124(VarCurr)) <=> (((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2))) | v124(VarCurr)))), rewrite((((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2))) | v124(VarCurr)) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))), ((((v90(VarCurr, 1) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 2))) | v124(VarCurr)) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))))),
% 27.22/17.75 inference(bind,[status(th)],[])).
% 27.22/17.75 tff(1789,plain,
% 27.22/17.75 (![VarCurr: state_type] : (((v90(VarCurr, 1) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 2))) | v124(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 27.22/17.75 inference(quant_intro,[status(thm)],[1788])).
% 27.22/17.75 tff(1790,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 1) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 2))) | v124(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_1')).
% 27.22/17.75 tff(1791,plain,
% 27.22/17.75 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1790, 1789])).
% 27.22/17.75 tff(1792,plain,
% 27.22/17.75 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1791, 1787])).
% 27.22/17.75 tff(1793,plain,(
% 27.22/17.75 ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 27.22/17.75 inference(skolemize,[status(sab)],[1792])).
% 27.22/17.75 tff(1794,plain,
% 27.22/17.75 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1793, 1786])).
% 27.22/17.75 tff(1795,plain,
% 27.22/17.75 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB11, 0)) | v90(constB11, 1) | (~v90(constB11, 2)) | v124(constB11))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB11, 0)) | v90(constB11, 1) | (~v90(constB11, 2)) | v124(constB11))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1796,plain,
% 27.22/17.75 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB11, 0)) | v90(constB11, 1) | (~v90(constB11, 2)) | v124(constB11))),
% 27.22/17.75 inference(quant_inst,[status(thm)],[])).
% 27.22/17.75 tff(1797,plain,
% 27.22/17.75 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB11, 0)) | v90(constB11, 1) | (~v90(constB11, 2)) | v124(constB11)),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1796, 1795])).
% 27.22/17.75 tff(1798,plain,
% 27.22/17.75 (v124(constB11)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1797, 1794, 1784, 1746, 1705])).
% 27.22/17.75 tff(1799,plain,
% 27.22/17.75 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v114(VarCurr)) <=> ((~v124(VarCurr)) | v114(VarCurr)))),
% 27.22/17.75 inference(bind,[status(th)],[])).
% 27.22/17.75 tff(1800,plain,
% 27.22/17.75 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 27.22/17.75 inference(quant_intro,[status(thm)],[1799])).
% 27.22/17.75 tff(1801,plain,
% 27.22/17.75 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1802,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_1')).
% 27.22/17.75 tff(1803,plain,
% 27.22/17.75 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1802, 1801])).
% 27.22/17.75 tff(1804,plain,(
% 27.22/17.75 ![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 27.22/17.75 inference(skolemize,[status(sab)],[1803])).
% 27.22/17.75 tff(1805,plain,
% 27.22/17.75 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1804, 1800])).
% 27.22/17.75 tff(1806,plain,
% 27.22/17.75 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB11)) | v114(constB11))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB11)) | v114(constB11))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1807,plain,
% 27.22/17.75 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB11)) | v114(constB11))),
% 27.22/17.75 inference(quant_inst,[status(thm)],[])).
% 27.22/17.75 tff(1808,plain,
% 27.22/17.75 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB11)) | v114(constB11)),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1807, 1806])).
% 27.22/17.75 tff(1809,plain,
% 27.22/17.75 (v114(constB11)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1808, 1805, 1798])).
% 27.22/17.75 tff(1810,plain,
% 27.22/17.75 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB11)) | v113(constB11))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB11)) | v113(constB11))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1811,plain,
% 27.22/17.75 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB11)) | v113(constB11))),
% 27.22/17.75 inference(quant_inst,[status(thm)],[])).
% 27.22/17.75 tff(1812,plain,
% 27.22/17.75 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB11)) | v113(constB11)),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1811, 1810])).
% 27.22/17.75 tff(1813,plain,
% 27.22/17.75 (v113(constB11)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1812, 314, 1809])).
% 27.22/17.75 tff(1814,assumption,(v26(constB11)), introduced(assumption)).
% 27.22/17.75 tff(1815,plain,
% 27.22/17.75 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB11))),
% 27.22/17.75 inference(quant_inst,[status(thm)],[])).
% 27.22/17.75 tff(1816,plain,
% 27.22/17.75 ($false),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1815, 95, 1814])).
% 27.22/17.75 tff(1817,plain,(~v26(constB11)), inference(lemma,lemma(discharge,[]))).
% 27.22/17.75 tff(1818,plain,
% 27.22/17.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | (~v113(constB11)) | v112(constB11))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1819,plain,
% 27.22/17.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))),
% 27.22/17.75 inference(quant_inst,[status(thm)],[])).
% 27.22/17.75 tff(1820,plain,
% 27.22/17.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | (~v113(constB11)) | v112(constB11)),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1819, 1818])).
% 27.22/17.75 tff(1821,plain,
% 27.22/17.75 ((~v113(constB11)) | v112(constB11)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1820, 328, 1817])).
% 27.22/17.75 tff(1822,plain,
% 27.22/17.75 (v112(constB11)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1821, 1813])).
% 27.22/17.75 tff(1823,plain,
% 27.22/17.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB11) | (~v112(constB11)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v112(constB11)))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1824,plain,
% 27.22/17.75 (((~v112(constB11)) | v108(constB11)) <=> (v108(constB11) | (~v112(constB11)))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1825,plain,
% 27.22/17.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB11)) | v108(constB11))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB11) | (~v112(constB11))))),
% 27.22/17.75 inference(monotonicity,[status(thm)],[1824])).
% 27.22/17.75 tff(1826,plain,
% 27.22/17.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB11)) | v108(constB11))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v112(constB11)))),
% 27.22/17.75 inference(transitivity,[status(thm)],[1825, 1823])).
% 27.22/17.75 tff(1827,plain,
% 27.22/17.75 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB11)) | v108(constB11))),
% 27.22/17.75 inference(quant_inst,[status(thm)],[])).
% 27.22/17.75 tff(1828,plain,
% 27.22/17.75 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v112(constB11))),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1827, 1826])).
% 27.22/17.75 tff(1829,plain,
% 27.22/17.75 (v108(constB11)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1828, 340, 1822])).
% 27.22/17.75 tff(1830,plain,
% 27.22/17.75 (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1831,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_11_1')).
% 27.22/17.75 tff(1832,plain,
% 27.22/17.75 (nextState(constB11, constB12)),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1831, 1830])).
% 27.22/17.75 tff(1833,plain,
% 27.22/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1834,plain,
% 27.22/17.75 (((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12)) <=> ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1835,plain,
% 27.22/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11))))),
% 27.22/17.75 inference(monotonicity,[status(thm)],[1834])).
% 27.22/17.75 tff(1836,plain,
% 27.22/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 27.22/17.75 inference(transitivity,[status(thm)],[1835, 1833])).
% 27.22/17.75 tff(1837,plain,
% 27.22/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))),
% 27.22/17.75 inference(quant_inst,[status(thm)],[])).
% 27.22/17.75 tff(1838,plain,
% 27.22/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11))),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1837, 1836])).
% 27.22/17.75 tff(1839,plain,
% 27.22/17.75 (v110(constB12) | (~v108(constB11))),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1838, 360, 1832])).
% 27.22/17.75 tff(1840,plain,
% 27.22/17.75 (v110(constB12)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1839, 1829])).
% 27.22/17.75 tff(1841,plain,
% 27.22/17.75 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1842,plain,
% 27.22/17.75 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))),
% 27.22/17.75 inference(quant_inst,[status(thm)],[])).
% 27.22/17.75 tff(1843,plain,
% 27.22/17.75 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12))),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1842, 1841])).
% 27.22/17.75 tff(1844,plain,
% 27.22/17.75 (~v104(constB12)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1843, 378, 1832, 1681])).
% 27.22/17.75 tff(1845,plain,
% 27.22/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1846,plain,
% 27.22/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))),
% 27.22/17.75 inference(quant_inst,[status(thm)],[])).
% 27.22/17.75 tff(1847,plain,
% 27.22/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB11, constB12)) | v102(constB12) | v104(constB12)),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1846, 1845])).
% 27.22/17.75 tff(1848,plain,
% 27.22/17.75 (v102(constB12) | v104(constB12)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1847, 392, 1832])).
% 27.22/17.75 tff(1849,plain,
% 27.22/17.75 (v102(constB12)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1848, 1844])).
% 27.22/17.75 tff(1850,plain,
% 27.22/17.75 (v1(constB12) <=> v1(constB12)),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1851,axiom,(v1(constB12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_12_1')).
% 27.22/17.75 tff(1852,plain,
% 27.22/17.75 (v1(constB12)),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1851, 1850])).
% 27.22/17.75 tff(1853,plain,
% 27.22/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1854,plain,
% 27.22/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))),
% 27.22/17.75 inference(quant_inst,[status(thm)],[])).
% 27.22/17.75 tff(1855,plain,
% 27.22/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12))),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1854, 1853])).
% 27.22/17.75 tff(1856,plain,
% 27.22/17.75 (v101(constB12) | (~v102(constB12))),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1855, 410, 1832, 1852])).
% 27.22/17.75 tff(1857,plain,
% 27.22/17.75 (v101(constB12)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1856, 1849])).
% 27.22/17.75 tff(1858,plain,
% 27.22/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1859,plain,
% 27.22/17.75 (((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12)) <=> ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1860,plain,
% 27.22/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12))))),
% 27.22/17.75 inference(monotonicity,[status(thm)],[1859])).
% 27.22/17.75 tff(1861,plain,
% 27.22/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 27.22/17.75 inference(transitivity,[status(thm)],[1860, 1858])).
% 27.22/17.75 tff(1862,plain,
% 27.22/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))),
% 27.22/17.75 inference(quant_inst,[status(thm)],[])).
% 27.22/17.75 tff(1863,plain,
% 27.22/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12))),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1862, 1861])).
% 27.22/17.75 tff(1864,plain,
% 27.22/17.75 (v100(constB12) | (~v101(constB12)) | (~v110(constB12))),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1863, 425, 1832])).
% 27.22/17.75 tff(1865,plain,
% 27.22/17.75 (v100(constB12) | (~v110(constB12))),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1864, 1857])).
% 27.22/17.75 tff(1866,plain,
% 27.22/17.75 (v100(constB12)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1865, 1840])).
% 27.22/17.75 tff(1867,plain,
% 27.22/17.75 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v130(VarCurr, 2)) <=> ((~v124(VarCurr)) | v130(VarCurr, 2)))),
% 27.22/17.75 inference(bind,[status(th)],[])).
% 27.22/17.75 tff(1868,plain,
% 27.22/17.75 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))),
% 27.22/17.75 inference(quant_intro,[status(thm)],[1867])).
% 27.22/17.75 tff(1869,plain,
% 27.22/17.75 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1870,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_3')).
% 27.22/17.75 tff(1871,plain,
% 27.22/17.75 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1870, 1869])).
% 27.22/17.75 tff(1872,plain,(
% 27.22/17.75 ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))),
% 27.22/17.75 inference(skolemize,[status(sab)],[1871])).
% 27.22/17.75 tff(1873,plain,
% 27.22/17.75 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1872, 1868])).
% 27.22/17.75 tff(1874,plain,
% 27.22/17.75 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB11)) | v130(constB11, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB11)) | v130(constB11, 2))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1875,plain,
% 27.22/17.75 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB11)) | v130(constB11, 2))),
% 27.22/17.75 inference(quant_inst,[status(thm)],[])).
% 27.22/17.75 tff(1876,plain,
% 27.22/17.75 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB11)) | v130(constB11, 2)),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1875, 1874])).
% 27.22/17.75 tff(1877,plain,
% 27.22/17.75 (v130(constB11, 2)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1876, 1873, 1798])).
% 27.22/17.75 tff(1878,plain,
% 27.22/17.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB11) | (~v130(constB11, 2)) | v127(constB11, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB11) | (~v130(constB11, 2)) | v127(constB11, 2))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1879,plain,
% 27.22/17.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB11) | (~v130(constB11, 2)) | v127(constB11, 2))),
% 27.22/17.75 inference(quant_inst,[status(thm)],[])).
% 27.22/17.75 tff(1880,plain,
% 27.22/17.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB11) | (~v130(constB11, 2)) | v127(constB11, 2)),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1879, 1878])).
% 27.22/17.75 tff(1881,plain,
% 27.22/17.75 ((~v130(constB11, 2)) | v127(constB11, 2)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1880, 1498, 1817])).
% 27.22/17.75 tff(1882,plain,
% 27.22/17.75 (v127(constB11, 2)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1881, 1877])).
% 27.22/17.75 tff(1883,plain,
% 27.22/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB11, constB12)) | (~v127(constB11, 2)) | v129(constB12, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB11, constB12)) | (~v127(constB11, 2)) | v129(constB12, 2))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1884,plain,
% 27.22/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB11, constB12)) | (~v127(constB11, 2)) | v129(constB12, 2))),
% 27.22/17.75 inference(quant_inst,[status(thm)],[])).
% 27.22/17.75 tff(1885,plain,
% 27.22/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB11, constB12)) | (~v127(constB11, 2)) | v129(constB12, 2)),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1884, 1883])).
% 27.22/17.75 tff(1886,plain,
% 27.22/17.75 ((~v127(constB11, 2)) | v129(constB12, 2)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1885, 1513, 1832])).
% 27.22/17.75 tff(1887,plain,
% 27.22/17.75 (v129(constB12, 2)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1886, 1882])).
% 27.22/17.75 tff(1888,plain,
% 27.22/17.75 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB12, 2) | (~v129(constB12, 2)) | (~v100(constB12)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB12, 2) | (~v129(constB12, 2)) | (~v100(constB12)))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1889,plain,
% 27.22/17.75 ((v90(constB12, 2) | (~v100(constB12)) | (~v129(constB12, 2))) <=> (v90(constB12, 2) | (~v129(constB12, 2)) | (~v100(constB12)))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1890,plain,
% 27.22/17.75 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB12, 2) | (~v100(constB12)) | (~v129(constB12, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB12, 2) | (~v129(constB12, 2)) | (~v100(constB12))))),
% 27.22/17.75 inference(monotonicity,[status(thm)],[1889])).
% 27.22/17.75 tff(1891,plain,
% 27.22/17.75 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB12, 2) | (~v100(constB12)) | (~v129(constB12, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB12, 2) | (~v129(constB12, 2)) | (~v100(constB12)))),
% 27.22/17.75 inference(transitivity,[status(thm)],[1890, 1888])).
% 27.22/17.75 tff(1892,plain,
% 27.22/17.75 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB12, 2) | (~v100(constB12)) | (~v129(constB12, 2)))),
% 27.22/17.75 inference(quant_inst,[status(thm)],[])).
% 27.22/17.75 tff(1893,plain,
% 27.22/17.75 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB12, 2) | (~v129(constB12, 2)) | (~v100(constB12))),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1892, 1891])).
% 27.22/17.75 tff(1894,plain,
% 27.22/17.75 (v90(constB12, 2) | (~v100(constB12))),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1893, 1528, 1887])).
% 27.22/17.75 tff(1895,plain,
% 27.22/17.75 (v90(constB12, 2)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1894, 1866])).
% 27.22/17.75 tff(1896,plain,
% 27.22/17.75 ((~v1(constB13)) <=> (~v1(constB13))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1897,axiom,(~v1(constB13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_13_1_1')).
% 27.22/17.75 tff(1898,plain,
% 27.22/17.75 (~v1(constB13)),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1897, 1896])).
% 27.22/17.75 tff(1899,plain,
% 27.22/17.75 (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1900,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_12_1')).
% 27.22/17.75 tff(1901,plain,
% 27.22/17.75 (nextState(constB12, constB13)),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1900, 1899])).
% 27.22/17.75 tff(1902,plain,
% 27.22/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1903,plain,
% 27.22/17.75 (((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13)) <=> (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1904,plain,
% 27.22/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13))))),
% 27.22/17.75 inference(monotonicity,[status(thm)],[1903])).
% 27.22/17.75 tff(1905,plain,
% 27.22/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 27.22/17.75 inference(transitivity,[status(thm)],[1904, 1902])).
% 27.22/17.75 tff(1906,plain,
% 27.22/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))),
% 27.22/17.75 inference(quant_inst,[status(thm)],[])).
% 27.22/17.75 tff(1907,plain,
% 27.22/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13))),
% 27.22/17.75 inference(modus_ponens,[status(thm)],[1906, 1905])).
% 27.22/17.75 tff(1908,plain,
% 27.22/17.75 (~v101(constB13)),
% 27.22/17.75 inference(unit_resolution,[status(thm)],[1907, 138, 1901, 1898])).
% 27.22/17.75 tff(1909,plain,
% 27.22/17.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))),
% 27.22/17.75 inference(rewrite,[status(thm)],[])).
% 27.22/17.75 tff(1910,plain,
% 27.22/17.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))),
% 27.22/17.76 inference(quant_inst,[status(thm)],[])).
% 27.22/17.76 tff(1911,plain,
% 27.22/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[1910, 1909])).
% 27.22/17.76 tff(1912,plain,
% 27.22/17.76 (v101(constB13) | (~v100(constB13))),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[1911, 155, 1901])).
% 27.22/17.76 tff(1913,plain,
% 27.22/17.76 (~v100(constB13)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[1912, 1908])).
% 27.22/17.76 tff(1914,plain,
% 27.22/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB12, 2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB12, 2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 2))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(1915,plain,
% 27.22/17.76 (((~nextState(constB12, constB13)) | (~v90(constB12, 2)) | v100(constB13) | v90(constB13, 2)) <=> ((~v90(constB12, 2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 2))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(1916,plain,
% 27.22/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, 2)) | v100(constB13) | v90(constB13, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB12, 2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 2)))),
% 27.22/17.76 inference(monotonicity,[status(thm)],[1915])).
% 27.22/17.76 tff(1917,plain,
% 27.22/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, 2)) | v100(constB13) | v90(constB13, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB12, 2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 2))),
% 27.22/17.76 inference(transitivity,[status(thm)],[1916, 1914])).
% 27.22/17.76 tff(1918,plain,
% 27.22/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, 2)) | v100(constB13) | v90(constB13, 2))),
% 27.22/17.76 inference(quant_inst,[status(thm)],[])).
% 27.22/17.76 tff(1919,plain,
% 27.22/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB12, 2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 2)),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[1918, 1917])).
% 27.22/17.76 tff(1920,plain,
% 27.22/17.76 ((~v90(constB12, 2)) | v100(constB13) | v90(constB13, 2)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[1919, 1546, 1901])).
% 27.22/17.76 tff(1921,plain,
% 27.22/17.76 ((~v90(constB12, 2)) | v90(constB13, 2)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[1920, 1913])).
% 27.22/17.76 tff(1922,plain,
% 27.22/17.76 (v90(constB13, 2)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[1921, 1895])).
% 27.22/17.76 tff(1923,plain,
% 27.22/17.76 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v130(VarCurr, 1)) <=> ((~v124(VarCurr)) | v130(VarCurr, 1)))),
% 27.22/17.76 inference(bind,[status(th)],[])).
% 27.22/17.76 tff(1924,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))),
% 27.22/17.76 inference(quant_intro,[status(thm)],[1923])).
% 27.22/17.76 tff(1925,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(1926,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_2')).
% 27.22/17.76 tff(1927,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[1926, 1925])).
% 27.22/17.76 tff(1928,plain,(
% 27.22/17.76 ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))),
% 27.22/17.76 inference(skolemize,[status(sab)],[1927])).
% 27.22/17.76 tff(1929,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[1928, 1924])).
% 27.22/17.76 tff(1930,plain,
% 27.22/17.76 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB11)) | v130(constB11, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB11)) | v130(constB11, 1))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(1931,plain,
% 27.22/17.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB11)) | v130(constB11, 1))),
% 27.22/17.76 inference(quant_inst,[status(thm)],[])).
% 27.22/17.76 tff(1932,plain,
% 27.22/17.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB11)) | v130(constB11, 1)),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[1931, 1930])).
% 27.22/17.76 tff(1933,plain,
% 27.22/17.76 (v130(constB11, 1)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[1932, 1929, 1798])).
% 27.22/17.76 tff(1934,plain,
% 27.22/17.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB11) | (~v130(constB11, 1)) | v127(constB11, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB11) | (~v130(constB11, 1)) | v127(constB11, 1))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(1935,plain,
% 27.22/17.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB11) | (~v130(constB11, 1)) | v127(constB11, 1))),
% 27.22/17.76 inference(quant_inst,[status(thm)],[])).
% 27.22/17.76 tff(1936,plain,
% 27.22/17.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB11) | (~v130(constB11, 1)) | v127(constB11, 1)),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[1935, 1934])).
% 27.22/17.76 tff(1937,plain,
% 27.22/17.76 ((~v130(constB11, 1)) | v127(constB11, 1)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[1936, 855, 1817])).
% 27.22/17.76 tff(1938,plain,
% 27.22/17.76 (v127(constB11, 1)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[1937, 1933])).
% 27.22/17.76 tff(1939,plain,
% 27.22/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB11, constB12)) | (~v127(constB11, 1)) | v129(constB12, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB11, constB12)) | (~v127(constB11, 1)) | v129(constB12, 1))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(1940,plain,
% 27.22/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB11, constB12)) | (~v127(constB11, 1)) | v129(constB12, 1))),
% 27.22/17.76 inference(quant_inst,[status(thm)],[])).
% 27.22/17.76 tff(1941,plain,
% 27.22/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB11, constB12)) | (~v127(constB11, 1)) | v129(constB12, 1)),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[1940, 1939])).
% 27.22/17.76 tff(1942,plain,
% 27.22/17.76 ((~v127(constB11, 1)) | v129(constB12, 1)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[1941, 870, 1832])).
% 27.22/17.76 tff(1943,plain,
% 27.22/17.76 (v129(constB12, 1)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[1942, 1938])).
% 27.22/17.76 tff(1944,plain,
% 27.22/17.76 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB12, 1) | (~v129(constB12, 1)) | (~v100(constB12)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB12, 1) | (~v129(constB12, 1)) | (~v100(constB12)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(1945,plain,
% 27.22/17.76 ((v90(constB12, 1) | (~v100(constB12)) | (~v129(constB12, 1))) <=> (v90(constB12, 1) | (~v129(constB12, 1)) | (~v100(constB12)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(1946,plain,
% 27.22/17.76 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB12, 1) | (~v100(constB12)) | (~v129(constB12, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB12, 1) | (~v129(constB12, 1)) | (~v100(constB12))))),
% 27.22/17.76 inference(monotonicity,[status(thm)],[1945])).
% 27.22/17.76 tff(1947,plain,
% 27.22/17.76 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB12, 1) | (~v100(constB12)) | (~v129(constB12, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB12, 1) | (~v129(constB12, 1)) | (~v100(constB12)))),
% 27.22/17.76 inference(transitivity,[status(thm)],[1946, 1944])).
% 27.22/17.76 tff(1948,plain,
% 27.22/17.76 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB12, 1) | (~v100(constB12)) | (~v129(constB12, 1)))),
% 27.22/17.76 inference(quant_inst,[status(thm)],[])).
% 27.22/17.76 tff(1949,plain,
% 27.22/17.76 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB12, 1) | (~v129(constB12, 1)) | (~v100(constB12))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[1948, 1947])).
% 27.22/17.76 tff(1950,plain,
% 27.22/17.76 (v90(constB12, 1) | (~v100(constB12))),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[1949, 885, 1943])).
% 27.22/17.76 tff(1951,plain,
% 27.22/17.76 (v90(constB12, 1)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[1950, 1866])).
% 27.22/17.76 tff(1952,plain,
% 27.22/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB12, 1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB12, 1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 1))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(1953,plain,
% 27.22/17.76 (((~nextState(constB12, constB13)) | (~v90(constB12, 1)) | v100(constB13) | v90(constB13, 1)) <=> ((~v90(constB12, 1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 1))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(1954,plain,
% 27.22/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB12, constB13)) | (~v90(constB12, 1)) | v100(constB13) | v90(constB13, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB12, 1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 1)))),
% 27.22/17.76 inference(monotonicity,[status(thm)],[1953])).
% 27.22/17.76 tff(1955,plain,
% 27.22/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB12, constB13)) | (~v90(constB12, 1)) | v100(constB13) | v90(constB13, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB12, 1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 1))),
% 27.22/17.76 inference(transitivity,[status(thm)],[1954, 1952])).
% 27.22/17.76 tff(1956,plain,
% 27.22/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB12, constB13)) | (~v90(constB12, 1)) | v100(constB13) | v90(constB13, 1))),
% 27.22/17.76 inference(quant_inst,[status(thm)],[])).
% 27.22/17.76 tff(1957,plain,
% 27.22/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB12, 1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 1)),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[1956, 1955])).
% 27.22/17.76 tff(1958,plain,
% 27.22/17.76 ((~v90(constB12, 1)) | v100(constB13) | v90(constB13, 1)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[1957, 903, 1901])).
% 27.22/17.76 tff(1959,plain,
% 27.22/17.76 ((~v90(constB12, 1)) | v90(constB13, 1)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[1958, 1913])).
% 27.22/17.76 tff(1960,plain,
% 27.22/17.76 (v90(constB13, 1)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[1959, 1951])).
% 27.22/17.76 tff(1961,plain,
% 27.22/17.76 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | (~v130(VarCurr, 0))) <=> ((~v124(VarCurr)) | (~v130(VarCurr, 0))))),
% 27.22/17.76 inference(bind,[status(th)],[])).
% 27.22/17.76 tff(1962,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))),
% 27.22/17.76 inference(quant_intro,[status(thm)],[1961])).
% 27.22/17.76 tff(1963,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(1964,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_1')).
% 27.22/17.76 tff(1965,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[1964, 1963])).
% 27.22/17.76 tff(1966,plain,(
% 27.22/17.76 ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))),
% 27.22/17.76 inference(skolemize,[status(sab)],[1965])).
% 27.22/17.76 tff(1967,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[1966, 1962])).
% 27.22/17.76 tff(1968,plain,
% 27.22/17.76 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB11)) | (~v130(constB11, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB11)) | (~v130(constB11, 0)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(1969,plain,
% 27.22/17.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB11)) | (~v130(constB11, 0)))),
% 27.22/17.76 inference(quant_inst,[status(thm)],[])).
% 27.22/17.76 tff(1970,plain,
% 27.22/17.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB11)) | (~v130(constB11, 0))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[1969, 1968])).
% 27.22/17.76 tff(1971,plain,
% 27.22/17.76 (~v130(constB11, 0)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[1970, 1967, 1798])).
% 27.22/17.76 tff(1972,plain,
% 27.22/17.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB11, 0)) | v26(constB11) | v130(constB11, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB11, 0)) | v26(constB11) | v130(constB11, 0))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(1973,plain,
% 27.22/17.76 ((v26(constB11) | v130(constB11, 0) | (~v127(constB11, 0))) <=> ((~v127(constB11, 0)) | v26(constB11) | v130(constB11, 0))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(1974,plain,
% 27.22/17.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB11) | v130(constB11, 0) | (~v127(constB11, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB11, 0)) | v26(constB11) | v130(constB11, 0)))),
% 27.22/17.76 inference(monotonicity,[status(thm)],[1973])).
% 27.22/17.76 tff(1975,plain,
% 27.22/17.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB11) | v130(constB11, 0) | (~v127(constB11, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB11, 0)) | v26(constB11) | v130(constB11, 0))),
% 27.22/17.76 inference(transitivity,[status(thm)],[1974, 1972])).
% 27.22/17.76 tff(1976,plain,
% 27.22/17.76 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB11) | v130(constB11, 0) | (~v127(constB11, 0)))),
% 27.22/17.76 inference(quant_inst,[status(thm)],[])).
% 27.22/17.76 tff(1977,plain,
% 27.22/17.76 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB11, 0)) | v26(constB11) | v130(constB11, 0)),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[1976, 1975])).
% 27.22/17.76 tff(1978,plain,
% 27.22/17.76 ((~v127(constB11, 0)) | v130(constB11, 0)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[1977, 933, 1817])).
% 27.22/17.76 tff(1979,plain,
% 27.22/17.76 (~v127(constB11, 0)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[1978, 1971])).
% 27.22/17.76 tff(1980,plain,
% 27.22/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB11, constB12)) | v127(constB11, 0) | (~v129(constB12, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB11, constB12)) | v127(constB11, 0) | (~v129(constB12, 0)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(1981,plain,
% 27.22/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB11, constB12)) | v127(constB11, 0) | (~v129(constB12, 0)))),
% 27.22/17.76 inference(quant_inst,[status(thm)],[])).
% 27.22/17.76 tff(1982,plain,
% 27.22/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB11, constB12)) | v127(constB11, 0) | (~v129(constB12, 0))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[1981, 1980])).
% 27.22/17.76 tff(1983,plain,
% 27.22/17.76 (v127(constB11, 0) | (~v129(constB12, 0))),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[1982, 951, 1832])).
% 27.22/17.76 tff(1984,plain,
% 27.22/17.76 (~v129(constB12, 0)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[1983, 1979])).
% 27.22/17.76 tff(1985,plain,
% 27.22/17.76 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB12, 0)) | v129(constB12, 0) | (~v100(constB12)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB12, 0)) | v129(constB12, 0) | (~v100(constB12)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(1986,plain,
% 27.22/17.76 (((~v90(constB12, 0)) | (~v100(constB12)) | v129(constB12, 0)) <=> ((~v90(constB12, 0)) | v129(constB12, 0) | (~v100(constB12)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(1987,plain,
% 27.22/17.76 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB12, 0)) | (~v100(constB12)) | v129(constB12, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB12, 0)) | v129(constB12, 0) | (~v100(constB12))))),
% 27.22/17.76 inference(monotonicity,[status(thm)],[1986])).
% 27.22/17.76 tff(1988,plain,
% 27.22/17.76 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB12, 0)) | (~v100(constB12)) | v129(constB12, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB12, 0)) | v129(constB12, 0) | (~v100(constB12)))),
% 27.22/17.76 inference(transitivity,[status(thm)],[1987, 1985])).
% 27.22/17.76 tff(1989,plain,
% 27.22/17.76 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB12, 0)) | (~v100(constB12)) | v129(constB12, 0))),
% 27.22/17.76 inference(quant_inst,[status(thm)],[])).
% 27.22/17.76 tff(1990,plain,
% 27.22/17.76 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB12, 0)) | v129(constB12, 0) | (~v100(constB12))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[1989, 1988])).
% 27.22/17.76 tff(1991,plain,
% 27.22/17.76 ((~v90(constB12, 0)) | (~v100(constB12))),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[1990, 966, 1984])).
% 27.22/17.76 tff(1992,plain,
% 27.22/17.76 (~v90(constB12, 0)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[1991, 1866])).
% 27.22/17.76 tff(1993,plain,
% 27.22/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB12, 0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB12, 0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 0)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(1994,plain,
% 27.22/17.76 (((~nextState(constB12, constB13)) | v90(constB12, 0) | v100(constB13) | (~v90(constB13, 0))) <=> (v90(constB12, 0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 0)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(1995,plain,
% 27.22/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB12, constB13)) | v90(constB12, 0) | v100(constB13) | (~v90(constB13, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB12, 0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 0))))),
% 27.22/17.76 inference(monotonicity,[status(thm)],[1994])).
% 27.22/17.76 tff(1996,plain,
% 27.22/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB12, constB13)) | v90(constB12, 0) | v100(constB13) | (~v90(constB13, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB12, 0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 0)))),
% 27.22/17.76 inference(transitivity,[status(thm)],[1995, 1993])).
% 27.22/17.76 tff(1997,plain,
% 27.22/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB12, constB13)) | v90(constB12, 0) | v100(constB13) | (~v90(constB13, 0)))),
% 27.22/17.76 inference(quant_inst,[status(thm)],[])).
% 27.22/17.76 tff(1998,plain,
% 27.22/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB12, 0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 0))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[1997, 1996])).
% 27.22/17.76 tff(1999,plain,
% 27.22/17.76 (v90(constB12, 0) | v100(constB13) | (~v90(constB13, 0))),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[1998, 212, 1901])).
% 27.22/17.76 tff(2000,plain,
% 27.22/17.76 (v90(constB12, 0) | (~v90(constB13, 0))),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[1999, 1913])).
% 27.22/17.76 tff(2001,plain,
% 27.22/17.76 (~v90(constB13, 0)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[2000, 1992])).
% 27.22/17.76 tff(2002,plain,
% 27.22/17.76 (^[VarCurr: state_type] : refl((v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr)) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr)))),
% 27.22/17.76 inference(bind,[status(th)],[])).
% 27.22/17.76 tff(2003,plain,
% 27.22/17.76 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 27.22/17.76 inference(quant_intro,[status(thm)],[2002])).
% 27.22/17.76 tff(2004,plain,
% 27.22/17.76 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(2005,plain,
% 27.22/17.76 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, 0) | (~v90(VarCurr, 1))) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)))), (((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) <=> ((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))))), rewrite(((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))), (((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2))))), ((((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) | v125(VarCurr)) <=> ((v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2))) | v125(VarCurr)))), rewrite(((v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2))) | v125(VarCurr)) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))), ((((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) | v125(VarCurr)) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))))),
% 27.22/17.76 inference(bind,[status(th)],[])).
% 27.22/17.76 tff(2006,plain,
% 27.22/17.76 (![VarCurr: state_type] : (((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) | v125(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 27.22/17.76 inference(quant_intro,[status(thm)],[2005])).
% 27.22/17.76 tff(2007,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) | v125(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_1')).
% 27.22/17.76 tff(2008,plain,
% 27.22/17.76 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2007, 2006])).
% 27.22/17.76 tff(2009,plain,
% 27.22/17.76 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2008, 2004])).
% 27.22/17.76 tff(2010,plain,(
% 27.22/17.76 ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 27.22/17.76 inference(skolemize,[status(sab)],[2009])).
% 27.22/17.76 tff(2011,plain,
% 27.22/17.76 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2010, 2003])).
% 27.22/17.76 tff(2012,plain,
% 27.22/17.76 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB13, 0) | (~v90(constB13, 1)) | (~v90(constB13, 2)) | v125(constB13))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB13, 0) | (~v90(constB13, 1)) | (~v90(constB13, 2)) | v125(constB13))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(2013,plain,
% 27.22/17.76 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB13, 0) | (~v90(constB13, 1)) | (~v90(constB13, 2)) | v125(constB13))),
% 27.22/17.76 inference(quant_inst,[status(thm)],[])).
% 27.22/17.76 tff(2014,plain,
% 27.22/17.76 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB13, 0) | (~v90(constB13, 1)) | (~v90(constB13, 2)) | v125(constB13)),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2013, 2012])).
% 27.22/17.76 tff(2015,plain,
% 27.22/17.76 (v125(constB13)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[2014, 2011, 2001, 1960, 1922])).
% 27.22/17.76 tff(2016,plain,
% 27.22/17.76 (^[VarCurr: state_type] : refl(((~v125(VarCurr)) | v113(VarCurr)) <=> ((~v125(VarCurr)) | v113(VarCurr)))),
% 27.22/17.76 inference(bind,[status(th)],[])).
% 27.22/17.76 tff(2017,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 27.22/17.76 inference(quant_intro,[status(thm)],[2016])).
% 27.22/17.76 tff(2018,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(2019,axiom,(![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_1')).
% 27.22/17.76 tff(2020,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2019, 2018])).
% 27.22/17.76 tff(2021,plain,(
% 27.22/17.76 ![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 27.22/17.76 inference(skolemize,[status(sab)],[2020])).
% 27.22/17.76 tff(2022,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2021, 2017])).
% 27.22/17.76 tff(2023,plain,
% 27.22/17.76 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB13)) | v113(constB13))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB13)) | v113(constB13))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(2024,plain,
% 27.22/17.76 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB13)) | v113(constB13))),
% 27.22/17.76 inference(quant_inst,[status(thm)],[])).
% 27.22/17.76 tff(2025,plain,
% 27.22/17.76 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB13)) | v113(constB13)),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2024, 2023])).
% 27.22/17.76 tff(2026,plain,
% 27.22/17.76 (v113(constB13)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[2025, 2022, 2015])).
% 27.22/17.76 tff(2027,assumption,(v26(constB13)), introduced(assumption)).
% 27.22/17.76 tff(2028,plain,
% 27.22/17.76 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB13))),
% 27.22/17.76 inference(quant_inst,[status(thm)],[])).
% 27.22/17.76 tff(2029,plain,
% 27.22/17.76 ($false),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[2028, 95, 2027])).
% 27.22/17.76 tff(2030,plain,(~v26(constB13)), inference(lemma,lemma(discharge,[]))).
% 27.22/17.76 tff(2031,plain,
% 27.22/17.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | (~v113(constB13)) | v112(constB13))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(2032,plain,
% 27.22/17.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))),
% 27.22/17.76 inference(quant_inst,[status(thm)],[])).
% 27.22/17.76 tff(2033,plain,
% 27.22/17.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | (~v113(constB13)) | v112(constB13)),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2032, 2031])).
% 27.22/17.76 tff(2034,plain,
% 27.22/17.76 ((~v113(constB13)) | v112(constB13)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[2033, 328, 2030])).
% 27.22/17.76 tff(2035,plain,
% 27.22/17.76 (v112(constB13)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[2034, 2026])).
% 27.22/17.76 tff(2036,plain,
% 27.22/17.76 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB13) | (~v112(constB13)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB13) | (~v112(constB13)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(2037,plain,
% 27.22/17.76 (((~v112(constB13)) | v108(constB13)) <=> (v108(constB13) | (~v112(constB13)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(2038,plain,
% 27.22/17.76 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB13)) | v108(constB13))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB13) | (~v112(constB13))))),
% 27.22/17.76 inference(monotonicity,[status(thm)],[2037])).
% 27.22/17.76 tff(2039,plain,
% 27.22/17.76 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB13)) | v108(constB13))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB13) | (~v112(constB13)))),
% 27.22/17.76 inference(transitivity,[status(thm)],[2038, 2036])).
% 27.22/17.76 tff(2040,plain,
% 27.22/17.76 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB13)) | v108(constB13))),
% 27.22/17.76 inference(quant_inst,[status(thm)],[])).
% 27.22/17.76 tff(2041,plain,
% 27.22/17.76 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB13) | (~v112(constB13))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2040, 2039])).
% 27.22/17.76 tff(2042,plain,
% 27.22/17.76 (v108(constB13)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[2041, 340, 2035])).
% 27.22/17.76 tff(2043,plain,
% 27.22/17.76 (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(2044,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_13_1')).
% 27.22/17.76 tff(2045,plain,
% 27.22/17.76 (nextState(constB13, constB14)),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2044, 2043])).
% 27.22/17.76 tff(2046,plain,
% 27.22/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(2047,plain,
% 27.22/17.76 (((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14)) <=> ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(2048,plain,
% 27.22/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13))))),
% 27.22/17.76 inference(monotonicity,[status(thm)],[2047])).
% 27.22/17.76 tff(2049,plain,
% 27.22/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 27.22/17.76 inference(transitivity,[status(thm)],[2048, 2046])).
% 27.22/17.76 tff(2050,plain,
% 27.22/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))),
% 27.22/17.76 inference(quant_inst,[status(thm)],[])).
% 27.22/17.76 tff(2051,plain,
% 27.22/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2050, 2049])).
% 27.22/17.76 tff(2052,plain,
% 27.22/17.76 (v110(constB14) | (~v108(constB13))),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[2051, 360, 2045])).
% 27.22/17.76 tff(2053,plain,
% 27.22/17.76 (v110(constB14)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[2052, 2042])).
% 27.22/17.76 tff(2054,plain,
% 27.22/17.76 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(2055,plain,
% 27.22/17.76 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))),
% 27.22/17.76 inference(quant_inst,[status(thm)],[])).
% 27.22/17.76 tff(2056,plain,
% 27.22/17.76 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2055, 2054])).
% 27.22/17.76 tff(2057,plain,
% 27.22/17.76 (~v104(constB14)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[2056, 378, 2045, 1898])).
% 27.22/17.76 tff(2058,plain,
% 27.22/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(2059,plain,
% 27.22/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))),
% 27.22/17.76 inference(quant_inst,[status(thm)],[])).
% 27.22/17.76 tff(2060,plain,
% 27.22/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB13, constB14)) | v102(constB14) | v104(constB14)),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2059, 2058])).
% 27.22/17.76 tff(2061,plain,
% 27.22/17.76 (v102(constB14) | v104(constB14)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[2060, 392, 2045])).
% 27.22/17.76 tff(2062,plain,
% 27.22/17.76 (v102(constB14)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[2061, 2057])).
% 27.22/17.76 tff(2063,plain,
% 27.22/17.76 (v1(constB14) <=> v1(constB14)),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(2064,axiom,(v1(constB14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_14_1')).
% 27.22/17.76 tff(2065,plain,
% 27.22/17.76 (v1(constB14)),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2064, 2063])).
% 27.22/17.76 tff(2066,plain,
% 27.22/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(2067,plain,
% 27.22/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))),
% 27.22/17.76 inference(quant_inst,[status(thm)],[])).
% 27.22/17.76 tff(2068,plain,
% 27.22/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2067, 2066])).
% 27.22/17.76 tff(2069,plain,
% 27.22/17.76 (v101(constB14) | (~v102(constB14))),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[2068, 410, 2045, 2065])).
% 27.22/17.76 tff(2070,plain,
% 27.22/17.76 (v101(constB14)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[2069, 2062])).
% 27.22/17.76 tff(2071,plain,
% 27.22/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(2072,plain,
% 27.22/17.76 (((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14)) <=> ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(2073,plain,
% 27.22/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14))))),
% 27.22/17.76 inference(monotonicity,[status(thm)],[2072])).
% 27.22/17.76 tff(2074,plain,
% 27.22/17.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 27.22/17.76 inference(transitivity,[status(thm)],[2073, 2071])).
% 27.22/17.76 tff(2075,plain,
% 27.22/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))),
% 27.22/17.76 inference(quant_inst,[status(thm)],[])).
% 27.22/17.76 tff(2076,plain,
% 27.22/17.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2075, 2074])).
% 27.22/17.76 tff(2077,plain,
% 27.22/17.76 (v100(constB14) | (~v101(constB14)) | (~v110(constB14))),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[2076, 425, 2045])).
% 27.22/17.76 tff(2078,plain,
% 27.22/17.76 (v100(constB14) | (~v110(constB14))),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[2077, 2070])).
% 27.22/17.76 tff(2079,plain,
% 27.22/17.76 (v100(constB14)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[2078, 2053])).
% 27.22/17.76 tff(2080,plain,
% 27.22/17.76 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v90(VarCurr, 1))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, 1))))),
% 27.22/17.76 inference(bind,[status(th)],[])).
% 27.22/17.76 tff(2081,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))),
% 27.22/17.76 inference(quant_intro,[status(thm)],[2080])).
% 27.22/17.76 tff(2082,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(2083,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_3')).
% 27.22/17.76 tff(2084,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2083, 2082])).
% 27.22/17.76 tff(2085,plain,(
% 27.22/17.76 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))),
% 27.22/17.76 inference(skolemize,[status(sab)],[2084])).
% 27.22/17.76 tff(2086,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2085, 2081])).
% 27.22/17.76 tff(2087,plain,
% 27.22/17.76 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB13)) | (~v90(constB13, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB13)) | (~v90(constB13, 1)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(2088,plain,
% 27.22/17.76 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB13)) | (~v90(constB13, 1)))),
% 27.22/17.76 inference(quant_inst,[status(thm)],[])).
% 27.22/17.76 tff(2089,plain,
% 27.22/17.76 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB13)) | (~v90(constB13, 1))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2088, 2087])).
% 27.22/17.76 tff(2090,plain,
% 27.22/17.76 (~v119(constB13)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[2089, 2086, 1960])).
% 27.22/17.76 tff(2091,plain,
% 27.22/17.76 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | (~v90(VarCurr, 1))) <=> ((~v124(VarCurr)) | (~v90(VarCurr, 1))))),
% 27.22/17.76 inference(bind,[status(th)],[])).
% 27.22/17.76 tff(2092,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))),
% 27.22/17.76 inference(quant_intro,[status(thm)],[2091])).
% 27.22/17.76 tff(2093,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(2094,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_4')).
% 27.22/17.76 tff(2095,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2094, 2093])).
% 27.22/17.76 tff(2096,plain,(
% 27.22/17.76 ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))),
% 27.22/17.76 inference(skolemize,[status(sab)],[2095])).
% 27.22/17.76 tff(2097,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2096, 2092])).
% 27.22/17.76 tff(2098,plain,
% 27.22/17.76 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB13)) | (~v90(constB13, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB13)) | (~v90(constB13, 1)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(2099,plain,
% 27.22/17.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB13)) | (~v90(constB13, 1)))),
% 27.22/17.76 inference(quant_inst,[status(thm)],[])).
% 27.22/17.76 tff(2100,plain,
% 27.22/17.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB13)) | (~v90(constB13, 1))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2099, 2098])).
% 27.22/17.76 tff(2101,plain,
% 27.22/17.76 (~v124(constB13)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[2100, 2097, 1960])).
% 27.22/17.76 tff(2102,plain,
% 27.22/17.76 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | (~v90(VarCurr, 1))) <=> ((~v123(VarCurr)) | (~v90(VarCurr, 1))))),
% 27.22/17.76 inference(bind,[status(th)],[])).
% 27.22/17.76 tff(2103,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))),
% 27.22/17.76 inference(quant_intro,[status(thm)],[2102])).
% 27.22/17.76 tff(2104,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(2105,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_3')).
% 27.22/17.76 tff(2106,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2105, 2104])).
% 27.22/17.76 tff(2107,plain,(
% 27.22/17.76 ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))),
% 27.22/17.76 inference(skolemize,[status(sab)],[2106])).
% 27.22/17.76 tff(2108,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2107, 2103])).
% 27.22/17.76 tff(2109,plain,
% 27.22/17.76 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB13)) | (~v90(constB13, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB13)) | (~v90(constB13, 1)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(2110,plain,
% 27.22/17.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB13)) | (~v90(constB13, 1)))),
% 27.22/17.76 inference(quant_inst,[status(thm)],[])).
% 27.22/17.76 tff(2111,plain,
% 27.22/17.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB13)) | (~v90(constB13, 1))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2110, 2109])).
% 27.22/17.76 tff(2112,plain,
% 27.22/17.76 (~v123(constB13)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[2111, 2108, 1960])).
% 27.22/17.76 tff(2113,plain,
% 27.22/17.76 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | (~v90(VarCurr, 2))) <=> ((~v122(VarCurr)) | (~v90(VarCurr, 2))))),
% 27.22/17.76 inference(bind,[status(th)],[])).
% 27.22/17.76 tff(2114,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))),
% 27.22/17.76 inference(quant_intro,[status(thm)],[2113])).
% 27.22/17.76 tff(2115,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(2116,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_4')).
% 27.22/17.76 tff(2117,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2116, 2115])).
% 27.22/17.76 tff(2118,plain,(
% 27.22/17.76 ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))),
% 27.22/17.76 inference(skolemize,[status(sab)],[2117])).
% 27.22/17.76 tff(2119,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2118, 2114])).
% 27.22/17.76 tff(2120,plain,
% 27.22/17.76 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB13)) | (~v90(constB13, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB13)) | (~v90(constB13, 2)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(2121,plain,
% 27.22/17.76 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB13)) | (~v90(constB13, 2)))),
% 27.22/17.76 inference(quant_inst,[status(thm)],[])).
% 27.22/17.76 tff(2122,plain,
% 27.22/17.76 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB13)) | (~v90(constB13, 2))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2121, 2120])).
% 27.22/17.76 tff(2123,plain,
% 27.22/17.76 (~v122(constB13)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[2122, 2119, 1922])).
% 27.22/17.76 tff(2124,plain,
% 27.22/17.76 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | (~v90(VarCurr, 2))) <=> ((~v121(VarCurr)) | (~v90(VarCurr, 2))))),
% 27.22/17.76 inference(bind,[status(th)],[])).
% 27.22/17.76 tff(2125,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))),
% 27.22/17.76 inference(quant_intro,[status(thm)],[2124])).
% 27.22/17.76 tff(2126,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(2127,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_3')).
% 27.22/17.76 tff(2128,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2127, 2126])).
% 27.22/17.76 tff(2129,plain,(
% 27.22/17.76 ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))),
% 27.22/17.76 inference(skolemize,[status(sab)],[2128])).
% 27.22/17.76 tff(2130,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2129, 2125])).
% 27.22/17.76 tff(2131,plain,
% 27.22/17.76 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB13)) | (~v90(constB13, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB13)) | (~v90(constB13, 2)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(2132,plain,
% 27.22/17.76 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB13)) | (~v90(constB13, 2)))),
% 27.22/17.76 inference(quant_inst,[status(thm)],[])).
% 27.22/17.76 tff(2133,plain,
% 27.22/17.76 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB13)) | (~v90(constB13, 2))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2132, 2131])).
% 27.22/17.76 tff(2134,plain,
% 27.22/17.76 (~v121(constB13)),
% 27.22/17.76 inference(unit_resolution,[status(thm)],[2133, 2130, 1922])).
% 27.22/17.76 tff(2135,plain,
% 27.22/17.76 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v90(VarCurr, 1))) <=> ((~v120(VarCurr)) | (~v90(VarCurr, 1))))),
% 27.22/17.76 inference(bind,[status(th)],[])).
% 27.22/17.76 tff(2136,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))),
% 27.22/17.76 inference(quant_intro,[status(thm)],[2135])).
% 27.22/17.76 tff(2137,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.76 tff(2138,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_4')).
% 27.22/17.76 tff(2139,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2138, 2137])).
% 27.22/17.76 tff(2140,plain,(
% 27.22/17.76 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))),
% 27.22/17.76 inference(skolemize,[status(sab)],[2139])).
% 27.22/17.76 tff(2141,plain,
% 27.22/17.76 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))),
% 27.22/17.76 inference(modus_ponens,[status(thm)],[2140, 2136])).
% 27.22/17.76 tff(2142,plain,
% 27.22/17.76 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB13)) | (~v90(constB13, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB13)) | (~v90(constB13, 1)))),
% 27.22/17.76 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2143,plain,
% 27.22/17.77 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB13)) | (~v90(constB13, 1)))),
% 27.22/17.77 inference(quant_inst,[status(thm)],[])).
% 27.22/17.77 tff(2144,plain,
% 27.22/17.77 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB13)) | (~v90(constB13, 1))),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2143, 2142])).
% 27.22/17.77 tff(2145,plain,
% 27.22/17.77 (~v120(constB13)),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2144, 2141, 1960])).
% 27.22/17.77 tff(2146,plain,
% 27.22/17.77 (^[VarCurr: state_type] : refl((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2))))),
% 27.22/17.77 inference(bind,[status(th)],[])).
% 27.22/17.77 tff(2147,plain,
% 27.22/17.77 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 27.22/17.77 inference(quant_intro,[status(thm)],[2146])).
% 27.22/17.77 tff(2148,plain,
% 27.22/17.77 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2149,plain,
% 27.22/17.77 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 2))) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, 2))))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, 2))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 2))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))))),
% 27.22/17.77 inference(bind,[status(th)],[])).
% 27.22/17.77 tff(2150,plain,
% 27.22/17.77 (![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 27.22/17.77 inference(quant_intro,[status(thm)],[2149])).
% 27.22/17.77 tff(2151,axiom,(![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_3')).
% 27.22/17.77 tff(2152,plain,
% 27.22/17.77 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2151, 2150])).
% 27.22/17.77 tff(2153,plain,
% 27.22/17.77 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2152, 2148])).
% 27.22/17.77 tff(2154,plain,(
% 27.22/17.77 ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 27.22/17.77 inference(skolemize,[status(sab)],[2153])).
% 27.22/17.77 tff(2155,plain,
% 27.22/17.77 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2154, 2147])).
% 27.22/17.77 tff(2156,plain,
% 27.22/17.77 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 2)))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2157,plain,
% 27.22/17.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 2)))),
% 27.22/17.77 inference(quant_inst,[status(thm)],[])).
% 27.22/17.77 tff(2158,plain,
% 27.22/17.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 2))),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2157, 2156])).
% 27.22/17.77 tff(2159,plain,
% 27.22/17.77 (~v130(constB13, 2)),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2158, 2155, 2145, 2134, 2123, 2112, 2101, 2090])).
% 27.22/17.77 tff(2160,plain,
% 27.22/17.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB13, 2)) | v26(constB13) | v130(constB13, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB13, 2)) | v26(constB13) | v130(constB13, 2))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2161,plain,
% 27.22/17.77 ((v26(constB13) | v130(constB13, 2) | (~v127(constB13, 2))) <=> ((~v127(constB13, 2)) | v26(constB13) | v130(constB13, 2))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2162,plain,
% 27.22/17.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB13) | v130(constB13, 2) | (~v127(constB13, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB13, 2)) | v26(constB13) | v130(constB13, 2)))),
% 27.22/17.77 inference(monotonicity,[status(thm)],[2161])).
% 27.22/17.77 tff(2163,plain,
% 27.22/17.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB13) | v130(constB13, 2) | (~v127(constB13, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB13, 2)) | v26(constB13) | v130(constB13, 2))),
% 27.22/17.77 inference(transitivity,[status(thm)],[2162, 2160])).
% 27.22/17.77 tff(2164,plain,
% 27.22/17.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB13) | v130(constB13, 2) | (~v127(constB13, 2)))),
% 27.22/17.77 inference(quant_inst,[status(thm)],[])).
% 27.22/17.77 tff(2165,plain,
% 27.22/17.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB13, 2)) | v26(constB13) | v130(constB13, 2)),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2164, 2163])).
% 27.22/17.77 tff(2166,plain,
% 27.22/17.77 ((~v127(constB13, 2)) | v130(constB13, 2)),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2165, 455, 2030])).
% 27.22/17.77 tff(2167,plain,
% 27.22/17.77 (~v127(constB13, 2)),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2166, 2159])).
% 27.22/17.77 tff(2168,plain,
% 27.22/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB13, constB14)) | v127(constB13, 2) | (~v129(constB14, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB13, constB14)) | v127(constB13, 2) | (~v129(constB14, 2)))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2169,plain,
% 27.22/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB13, constB14)) | v127(constB13, 2) | (~v129(constB14, 2)))),
% 27.22/17.77 inference(quant_inst,[status(thm)],[])).
% 27.22/17.77 tff(2170,plain,
% 27.22/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB13, constB14)) | v127(constB13, 2) | (~v129(constB14, 2))),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2169, 2168])).
% 27.22/17.77 tff(2171,plain,
% 27.22/17.77 (v127(constB13, 2) | (~v129(constB14, 2))),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2170, 473, 2045])).
% 27.22/17.77 tff(2172,plain,
% 27.22/17.77 (~v129(constB14, 2)),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2171, 2167])).
% 27.22/17.77 tff(2173,plain,
% 27.22/17.77 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB14, 2)) | v129(constB14, 2) | (~v100(constB14)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB14, 2)) | v129(constB14, 2) | (~v100(constB14)))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2174,plain,
% 27.22/17.77 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB14, 2)) | v129(constB14, 2) | (~v100(constB14)))),
% 27.22/17.77 inference(quant_inst,[status(thm)],[])).
% 27.22/17.77 tff(2175,plain,
% 27.22/17.77 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB14, 2)) | v129(constB14, 2) | (~v100(constB14))),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2174, 2173])).
% 27.22/17.77 tff(2176,plain,
% 27.22/17.77 ((~v90(constB14, 2)) | (~v100(constB14))),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2175, 488, 2172])).
% 27.22/17.77 tff(2177,plain,
% 27.22/17.77 (~v90(constB14, 2)),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2176, 2079])).
% 27.22/17.77 tff(2178,plain,
% 27.22/17.77 ((~v1(constB15)) <=> (~v1(constB15))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2179,axiom,(~v1(constB15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_15_1_1')).
% 27.22/17.77 tff(2180,plain,
% 27.22/17.77 (~v1(constB15)),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2179, 2178])).
% 27.22/17.77 tff(2181,plain,
% 27.22/17.77 (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2182,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_14_1')).
% 27.22/17.77 tff(2183,plain,
% 27.22/17.77 (nextState(constB14, constB15)),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2182, 2181])).
% 27.22/17.77 tff(2184,plain,
% 27.22/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2185,plain,
% 27.22/17.77 (((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15)) <=> (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2186,plain,
% 27.22/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15))))),
% 27.22/17.77 inference(monotonicity,[status(thm)],[2185])).
% 27.22/17.77 tff(2187,plain,
% 27.22/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 27.22/17.77 inference(transitivity,[status(thm)],[2186, 2184])).
% 27.22/17.77 tff(2188,plain,
% 27.22/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))),
% 27.22/17.77 inference(quant_inst,[status(thm)],[])).
% 27.22/17.77 tff(2189,plain,
% 27.22/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15))),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2188, 2187])).
% 27.22/17.77 tff(2190,plain,
% 27.22/17.77 (~v101(constB15)),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2189, 138, 2183, 2180])).
% 27.22/17.77 tff(2191,plain,
% 27.22/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2192,plain,
% 27.22/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))),
% 27.22/17.77 inference(quant_inst,[status(thm)],[])).
% 27.22/17.77 tff(2193,plain,
% 27.22/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15))),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2192, 2191])).
% 27.22/17.77 tff(2194,plain,
% 27.22/17.77 (v101(constB15) | (~v100(constB15))),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2193, 155, 2183])).
% 27.22/17.77 tff(2195,plain,
% 27.22/17.77 (~v100(constB15)),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2194, 2190])).
% 27.22/17.77 tff(2196,plain,
% 27.22/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB14, 2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB14, 2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 2)))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2197,plain,
% 27.22/17.77 (((~nextState(constB14, constB15)) | v90(constB14, 2) | v100(constB15) | (~v90(constB15, 2))) <=> (v90(constB14, 2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 2)))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2198,plain,
% 27.22/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB14, constB15)) | v90(constB14, 2) | v100(constB15) | (~v90(constB15, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB14, 2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 2))))),
% 27.22/17.77 inference(monotonicity,[status(thm)],[2197])).
% 27.22/17.77 tff(2199,plain,
% 27.22/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB14, constB15)) | v90(constB14, 2) | v100(constB15) | (~v90(constB15, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB14, 2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 2)))),
% 27.22/17.77 inference(transitivity,[status(thm)],[2198, 2196])).
% 27.22/17.77 tff(2200,plain,
% 27.22/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB14, constB15)) | v90(constB14, 2) | v100(constB15) | (~v90(constB15, 2)))),
% 27.22/17.77 inference(quant_inst,[status(thm)],[])).
% 27.22/17.77 tff(2201,plain,
% 27.22/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB14, 2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 2))),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2200, 2199])).
% 27.22/17.77 tff(2202,plain,
% 27.22/17.77 (v90(constB14, 2) | v100(constB15) | (~v90(constB15, 2))),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2201, 170, 2183])).
% 27.22/17.77 tff(2203,plain,
% 27.22/17.77 (v90(constB14, 2) | (~v90(constB15, 2))),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2202, 2195])).
% 27.22/17.77 tff(2204,plain,
% 27.22/17.77 (~v90(constB15, 2)),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2203, 2177])).
% 27.22/17.77 tff(2205,plain,
% 27.22/17.77 (^[VarCurr: state_type] : refl((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1))))),
% 27.22/17.77 inference(bind,[status(th)],[])).
% 27.22/17.77 tff(2206,plain,
% 27.22/17.77 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 27.22/17.77 inference(quant_intro,[status(thm)],[2205])).
% 27.22/17.77 tff(2207,plain,
% 27.22/17.77 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2208,plain,
% 27.22/17.77 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 1))) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, 1))))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, 1))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 1))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))))),
% 27.22/17.77 inference(bind,[status(th)],[])).
% 27.22/17.77 tff(2209,plain,
% 27.22/17.77 (![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 27.22/17.77 inference(quant_intro,[status(thm)],[2208])).
% 27.22/17.77 tff(2210,axiom,(![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_2')).
% 27.22/17.77 tff(2211,plain,
% 27.22/17.77 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2210, 2209])).
% 27.22/17.77 tff(2212,plain,
% 27.22/17.77 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2211, 2207])).
% 27.22/17.77 tff(2213,plain,(
% 27.22/17.77 ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 27.22/17.77 inference(skolemize,[status(sab)],[2212])).
% 27.22/17.77 tff(2214,plain,
% 27.22/17.77 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2213, 2206])).
% 27.22/17.77 tff(2215,plain,
% 27.22/17.77 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 1)))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2216,plain,
% 27.22/17.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 1)))),
% 27.22/17.77 inference(quant_inst,[status(thm)],[])).
% 27.22/17.77 tff(2217,plain,
% 27.22/17.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 1))),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2216, 2215])).
% 27.22/17.77 tff(2218,plain,
% 27.22/17.77 (~v130(constB13, 1)),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2217, 2214, 2145, 2134, 2123, 2112, 2101, 2090])).
% 27.22/17.77 tff(2219,plain,
% 27.22/17.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB13, 1)) | v26(constB13) | v130(constB13, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB13, 1)) | v26(constB13) | v130(constB13, 1))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2220,plain,
% 27.22/17.77 ((v26(constB13) | v130(constB13, 1) | (~v127(constB13, 1))) <=> ((~v127(constB13, 1)) | v26(constB13) | v130(constB13, 1))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2221,plain,
% 27.22/17.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB13) | v130(constB13, 1) | (~v127(constB13, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB13, 1)) | v26(constB13) | v130(constB13, 1)))),
% 27.22/17.77 inference(monotonicity,[status(thm)],[2220])).
% 27.22/17.77 tff(2222,plain,
% 27.22/17.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB13) | v130(constB13, 1) | (~v127(constB13, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB13, 1)) | v26(constB13) | v130(constB13, 1))),
% 27.22/17.77 inference(transitivity,[status(thm)],[2221, 2219])).
% 27.22/17.77 tff(2223,plain,
% 27.22/17.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB13) | v130(constB13, 1) | (~v127(constB13, 1)))),
% 27.22/17.77 inference(quant_inst,[status(thm)],[])).
% 27.22/17.77 tff(2224,plain,
% 27.22/17.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB13, 1)) | v26(constB13) | v130(constB13, 1)),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2223, 2222])).
% 27.22/17.77 tff(2225,plain,
% 27.22/17.77 ((~v127(constB13, 1)) | v130(constB13, 1)),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2224, 541, 2030])).
% 27.22/17.77 tff(2226,plain,
% 27.22/17.77 (~v127(constB13, 1)),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2225, 2218])).
% 27.22/17.77 tff(2227,plain,
% 27.22/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB13, constB14)) | v127(constB13, 1) | (~v129(constB14, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB13, constB14)) | v127(constB13, 1) | (~v129(constB14, 1)))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2228,plain,
% 27.22/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB13, constB14)) | v127(constB13, 1) | (~v129(constB14, 1)))),
% 27.22/17.77 inference(quant_inst,[status(thm)],[])).
% 27.22/17.77 tff(2229,plain,
% 27.22/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB13, constB14)) | v127(constB13, 1) | (~v129(constB14, 1))),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2228, 2227])).
% 27.22/17.77 tff(2230,plain,
% 27.22/17.77 (v127(constB13, 1) | (~v129(constB14, 1))),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2229, 559, 2045])).
% 27.22/17.77 tff(2231,plain,
% 27.22/17.77 (~v129(constB14, 1)),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2230, 2226])).
% 27.22/17.77 tff(2232,plain,
% 27.22/17.77 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB14, 1)) | v129(constB14, 1) | (~v100(constB14)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB14, 1)) | v129(constB14, 1) | (~v100(constB14)))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2233,plain,
% 27.22/17.77 (((~v90(constB14, 1)) | (~v100(constB14)) | v129(constB14, 1)) <=> ((~v90(constB14, 1)) | v129(constB14, 1) | (~v100(constB14)))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2234,plain,
% 27.22/17.77 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB14, 1)) | (~v100(constB14)) | v129(constB14, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB14, 1)) | v129(constB14, 1) | (~v100(constB14))))),
% 27.22/17.77 inference(monotonicity,[status(thm)],[2233])).
% 27.22/17.77 tff(2235,plain,
% 27.22/17.77 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB14, 1)) | (~v100(constB14)) | v129(constB14, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB14, 1)) | v129(constB14, 1) | (~v100(constB14)))),
% 27.22/17.77 inference(transitivity,[status(thm)],[2234, 2232])).
% 27.22/17.77 tff(2236,plain,
% 27.22/17.77 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB14, 1)) | (~v100(constB14)) | v129(constB14, 1))),
% 27.22/17.77 inference(quant_inst,[status(thm)],[])).
% 27.22/17.77 tff(2237,plain,
% 27.22/17.77 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB14, 1)) | v129(constB14, 1) | (~v100(constB14))),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2236, 2235])).
% 27.22/17.77 tff(2238,plain,
% 27.22/17.77 ((~v90(constB14, 1)) | (~v100(constB14))),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2237, 574, 2231])).
% 27.22/17.77 tff(2239,plain,
% 27.22/17.77 (~v90(constB14, 1)),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2238, 2079])).
% 27.22/17.77 tff(2240,plain,
% 27.22/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB14, 1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB14, 1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 1)))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2241,plain,
% 27.22/17.77 (((~nextState(constB14, constB15)) | v90(constB14, 1) | v100(constB15) | (~v90(constB15, 1))) <=> (v90(constB14, 1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 1)))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2242,plain,
% 27.22/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB14, constB15)) | v90(constB14, 1) | v100(constB15) | (~v90(constB15, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB14, 1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 1))))),
% 27.22/17.77 inference(monotonicity,[status(thm)],[2241])).
% 27.22/17.77 tff(2243,plain,
% 27.22/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB14, constB15)) | v90(constB14, 1) | v100(constB15) | (~v90(constB15, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB14, 1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 1)))),
% 27.22/17.77 inference(transitivity,[status(thm)],[2242, 2240])).
% 27.22/17.77 tff(2244,plain,
% 27.22/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB14, constB15)) | v90(constB14, 1) | v100(constB15) | (~v90(constB15, 1)))),
% 27.22/17.77 inference(quant_inst,[status(thm)],[])).
% 27.22/17.77 tff(2245,plain,
% 27.22/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB14, 1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 1))),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2244, 2243])).
% 27.22/17.77 tff(2246,plain,
% 27.22/17.77 (v90(constB14, 1) | v100(constB15) | (~v90(constB15, 1))),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2245, 191, 2183])).
% 27.22/17.77 tff(2247,plain,
% 27.22/17.77 (v90(constB14, 1) | (~v90(constB15, 1))),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2246, 2195])).
% 27.22/17.77 tff(2248,plain,
% 27.22/17.77 (~v90(constB15, 1)),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2247, 2239])).
% 27.22/17.77 tff(2249,plain,
% 27.22/17.77 (^[VarCurr: state_type] : refl((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0)))),
% 27.22/17.77 inference(bind,[status(th)],[])).
% 27.22/17.77 tff(2250,plain,
% 27.22/17.77 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 27.22/17.77 inference(quant_intro,[status(thm)],[2249])).
% 27.22/17.77 tff(2251,plain,
% 27.22/17.77 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2252,plain,
% 27.22/17.77 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | v130(VarCurr, 0)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | v130(VarCurr, 0)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | v130(VarCurr, 0)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | v130(VarCurr, 0)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))))),
% 27.22/17.77 inference(bind,[status(th)],[])).
% 27.22/17.77 tff(2253,plain,
% 27.22/17.77 (![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 27.22/17.77 inference(quant_intro,[status(thm)],[2252])).
% 27.22/17.77 tff(2254,axiom,(![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | v130(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_1')).
% 27.22/17.77 tff(2255,plain,
% 27.22/17.77 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2254, 2253])).
% 27.22/17.77 tff(2256,plain,
% 27.22/17.77 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2255, 2251])).
% 27.22/17.77 tff(2257,plain,(
% 27.22/17.77 ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 27.22/17.77 inference(skolemize,[status(sab)],[2256])).
% 27.22/17.77 tff(2258,plain,
% 27.22/17.77 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2257, 2250])).
% 27.22/17.77 tff(2259,plain,
% 27.22/17.77 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, 0))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2260,plain,
% 27.22/17.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, 0))),
% 27.22/17.77 inference(quant_inst,[status(thm)],[])).
% 27.22/17.77 tff(2261,plain,
% 27.22/17.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, 0)),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2260, 2259])).
% 27.22/17.77 tff(2262,plain,
% 27.22/17.77 (v130(constB13, 0)),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2261, 2258, 2145, 2134, 2123, 2112, 2101, 2090])).
% 27.22/17.77 tff(2263,plain,
% 27.22/17.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB13) | (~v130(constB13, 0)) | v127(constB13, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB13) | (~v130(constB13, 0)) | v127(constB13, 0))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2264,plain,
% 27.22/17.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB13) | (~v130(constB13, 0)) | v127(constB13, 0))),
% 27.22/17.77 inference(quant_inst,[status(thm)],[])).
% 27.22/17.77 tff(2265,plain,
% 27.22/17.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB13) | (~v130(constB13, 0)) | v127(constB13, 0)),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2264, 2263])).
% 27.22/17.77 tff(2266,plain,
% 27.22/17.77 ((~v130(constB13, 0)) | v127(constB13, 0)),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2265, 612, 2030])).
% 27.22/17.77 tff(2267,plain,
% 27.22/17.77 (v127(constB13, 0)),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2266, 2262])).
% 27.22/17.77 tff(2268,plain,
% 27.22/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB13, constB14)) | (~v127(constB13, 0)) | v129(constB14, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB13, constB14)) | (~v127(constB13, 0)) | v129(constB14, 0))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2269,plain,
% 27.22/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB13, constB14)) | (~v127(constB13, 0)) | v129(constB14, 0))),
% 27.22/17.77 inference(quant_inst,[status(thm)],[])).
% 27.22/17.77 tff(2270,plain,
% 27.22/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB13, constB14)) | (~v127(constB13, 0)) | v129(constB14, 0)),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2269, 2268])).
% 27.22/17.77 tff(2271,plain,
% 27.22/17.77 ((~v127(constB13, 0)) | v129(constB14, 0)),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2270, 627, 2045])).
% 27.22/17.77 tff(2272,plain,
% 27.22/17.77 (v129(constB14, 0)),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2271, 2267])).
% 27.22/17.77 tff(2273,plain,
% 27.22/17.77 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB14, 0) | (~v129(constB14, 0)) | (~v100(constB14)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB14, 0) | (~v129(constB14, 0)) | (~v100(constB14)))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2274,plain,
% 27.22/17.77 ((v90(constB14, 0) | (~v100(constB14)) | (~v129(constB14, 0))) <=> (v90(constB14, 0) | (~v129(constB14, 0)) | (~v100(constB14)))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2275,plain,
% 27.22/17.77 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB14, 0) | (~v100(constB14)) | (~v129(constB14, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB14, 0) | (~v129(constB14, 0)) | (~v100(constB14))))),
% 27.22/17.77 inference(monotonicity,[status(thm)],[2274])).
% 27.22/17.77 tff(2276,plain,
% 27.22/17.77 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB14, 0) | (~v100(constB14)) | (~v129(constB14, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB14, 0) | (~v129(constB14, 0)) | (~v100(constB14)))),
% 27.22/17.77 inference(transitivity,[status(thm)],[2275, 2273])).
% 27.22/17.77 tff(2277,plain,
% 27.22/17.77 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB14, 0) | (~v100(constB14)) | (~v129(constB14, 0)))),
% 27.22/17.77 inference(quant_inst,[status(thm)],[])).
% 27.22/17.77 tff(2278,plain,
% 27.22/17.77 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB14, 0) | (~v129(constB14, 0)) | (~v100(constB14))),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2277, 2276])).
% 27.22/17.77 tff(2279,plain,
% 27.22/17.77 (v90(constB14, 0) | (~v100(constB14))),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2278, 642, 2272])).
% 27.22/17.77 tff(2280,plain,
% 27.22/17.77 (v90(constB14, 0)),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2279, 2079])).
% 27.22/17.77 tff(2281,plain,
% 27.22/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB14, 0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB14, 0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, 0))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2282,plain,
% 27.22/17.77 (((~nextState(constB14, constB15)) | (~v90(constB14, 0)) | v100(constB15) | v90(constB15, 0)) <=> ((~v90(constB14, 0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, 0))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2283,plain,
% 27.22/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB14, constB15)) | (~v90(constB14, 0)) | v100(constB15) | v90(constB15, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB14, 0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, 0)))),
% 27.22/17.77 inference(monotonicity,[status(thm)],[2282])).
% 27.22/17.77 tff(2284,plain,
% 27.22/17.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB14, constB15)) | (~v90(constB14, 0)) | v100(constB15) | v90(constB15, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB14, 0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, 0))),
% 27.22/17.77 inference(transitivity,[status(thm)],[2283, 2281])).
% 27.22/17.77 tff(2285,plain,
% 27.22/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB14, constB15)) | (~v90(constB14, 0)) | v100(constB15) | v90(constB15, 0))),
% 27.22/17.77 inference(quant_inst,[status(thm)],[])).
% 27.22/17.77 tff(2286,plain,
% 27.22/17.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB14, 0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, 0)),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2285, 2284])).
% 27.22/17.77 tff(2287,plain,
% 27.22/17.77 ((~v90(constB14, 0)) | v100(constB15) | v90(constB15, 0)),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2286, 660, 2183])).
% 27.22/17.77 tff(2288,plain,
% 27.22/17.77 ((~v90(constB14, 0)) | v90(constB15, 0)),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2287, 2195])).
% 27.22/17.77 tff(2289,plain,
% 27.22/17.77 (v90(constB15, 0)),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2288, 2280])).
% 27.22/17.77 tff(2290,plain,
% 27.22/17.77 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB15, 0)) | v90(constB15, 1) | v90(constB15, 2) | v120(constB15))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB15, 0)) | v90(constB15, 1) | v90(constB15, 2) | v120(constB15))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2291,plain,
% 27.22/17.77 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB15, 0)) | v90(constB15, 1) | v90(constB15, 2) | v120(constB15))),
% 27.22/17.77 inference(quant_inst,[status(thm)],[])).
% 27.22/17.77 tff(2292,plain,
% 27.22/17.77 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB15, 0)) | v90(constB15, 1) | v90(constB15, 2) | v120(constB15)),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2291, 2290])).
% 27.22/17.77 tff(2293,plain,
% 27.22/17.77 (v120(constB15)),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2292, 679, 2289, 2248, 2204])).
% 27.22/17.77 tff(2294,plain,
% 27.22/17.77 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB15) | (~v120(constB15)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB15) | (~v120(constB15)))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2295,plain,
% 27.22/17.77 (((~v120(constB15)) | v118(constB15)) <=> (v118(constB15) | (~v120(constB15)))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2296,plain,
% 27.22/17.77 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB15)) | v118(constB15))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB15) | (~v120(constB15))))),
% 27.22/17.77 inference(monotonicity,[status(thm)],[2295])).
% 27.22/17.77 tff(2297,plain,
% 27.22/17.77 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB15)) | v118(constB15))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB15) | (~v120(constB15)))),
% 27.22/17.77 inference(transitivity,[status(thm)],[2296, 2294])).
% 27.22/17.77 tff(2298,plain,
% 27.22/17.77 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB15)) | v118(constB15))),
% 27.22/17.77 inference(quant_inst,[status(thm)],[])).
% 27.22/17.77 tff(2299,plain,
% 27.22/17.77 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB15) | (~v120(constB15))),
% 27.22/17.77 inference(modus_ponens,[status(thm)],[2298, 2297])).
% 27.22/17.77 tff(2300,plain,
% 27.22/17.77 (v118(constB15)),
% 27.22/17.77 inference(unit_resolution,[status(thm)],[2299, 690, 2293])).
% 27.22/17.77 tff(2301,plain,
% 27.22/17.77 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB15) | (~v118(constB15)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB15) | (~v118(constB15)))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2302,plain,
% 27.22/17.77 (((~v118(constB15)) | v117(constB15)) <=> (v117(constB15) | (~v118(constB15)))),
% 27.22/17.77 inference(rewrite,[status(thm)],[])).
% 27.22/17.77 tff(2303,plain,
% 27.22/17.77 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB15)) | v117(constB15))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB15) | (~v118(constB15))))),
% 27.22/17.77 inference(monotonicity,[status(thm)],[2302])).
% 27.22/17.77 tff(2304,plain,
% 27.22/17.77 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB15)) | v117(constB15))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB15) | (~v118(constB15)))),
% 27.22/17.78 inference(transitivity,[status(thm)],[2303, 2301])).
% 27.22/17.78 tff(2305,plain,
% 27.22/17.78 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB15)) | v117(constB15))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2306,plain,
% 27.22/17.78 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB15) | (~v118(constB15))),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2305, 2304])).
% 27.22/17.78 tff(2307,plain,
% 27.22/17.78 (v117(constB15)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2306, 258, 2300])).
% 27.22/17.78 tff(2308,plain,
% 27.22/17.78 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB15) | (~v117(constB15)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB15) | (~v117(constB15)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2309,plain,
% 27.22/17.78 (((~v117(constB15)) | v116(constB15)) <=> (v116(constB15) | (~v117(constB15)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2310,plain,
% 27.22/17.78 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB15)) | v116(constB15))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB15) | (~v117(constB15))))),
% 27.22/17.78 inference(monotonicity,[status(thm)],[2309])).
% 27.22/17.78 tff(2311,plain,
% 27.22/17.78 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB15)) | v116(constB15))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB15) | (~v117(constB15)))),
% 27.22/17.78 inference(transitivity,[status(thm)],[2310, 2308])).
% 27.22/17.78 tff(2312,plain,
% 27.22/17.78 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB15)) | v116(constB15))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2313,plain,
% 27.22/17.78 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB15) | (~v117(constB15))),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2312, 2311])).
% 27.22/17.78 tff(2314,plain,
% 27.22/17.78 (v116(constB15)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2313, 272, 2307])).
% 27.22/17.78 tff(2315,plain,
% 27.22/17.78 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB15) | (~v116(constB15)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB15) | (~v116(constB15)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2316,plain,
% 27.22/17.78 (((~v116(constB15)) | v115(constB15)) <=> (v115(constB15) | (~v116(constB15)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2317,plain,
% 27.22/17.78 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB15)) | v115(constB15))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB15) | (~v116(constB15))))),
% 27.22/17.78 inference(monotonicity,[status(thm)],[2316])).
% 27.22/17.78 tff(2318,plain,
% 27.22/17.78 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB15)) | v115(constB15))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB15) | (~v116(constB15)))),
% 27.22/17.78 inference(transitivity,[status(thm)],[2317, 2315])).
% 27.22/17.78 tff(2319,plain,
% 27.22/17.78 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB15)) | v115(constB15))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2320,plain,
% 27.22/17.78 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB15) | (~v116(constB15))),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2319, 2318])).
% 27.22/17.78 tff(2321,plain,
% 27.22/17.78 (v115(constB15)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2320, 286, 2314])).
% 27.22/17.78 tff(2322,plain,
% 27.22/17.78 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB15)) | v114(constB15))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB15)) | v114(constB15))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2323,plain,
% 27.22/17.78 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB15)) | v114(constB15))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2324,plain,
% 27.22/17.78 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB15)) | v114(constB15)),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2323, 2322])).
% 27.22/17.78 tff(2325,plain,
% 27.22/17.78 (v114(constB15)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2324, 300, 2321])).
% 27.22/17.78 tff(2326,plain,
% 27.22/17.78 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB15) | (~v114(constB15)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB15) | (~v114(constB15)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2327,plain,
% 27.22/17.78 (((~v114(constB15)) | v113(constB15)) <=> (v113(constB15) | (~v114(constB15)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2328,plain,
% 27.22/17.78 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB15)) | v113(constB15))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB15) | (~v114(constB15))))),
% 27.22/17.78 inference(monotonicity,[status(thm)],[2327])).
% 27.22/17.78 tff(2329,plain,
% 27.22/17.78 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB15)) | v113(constB15))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB15) | (~v114(constB15)))),
% 27.22/17.78 inference(transitivity,[status(thm)],[2328, 2326])).
% 27.22/17.78 tff(2330,plain,
% 27.22/17.78 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB15)) | v113(constB15))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2331,plain,
% 27.22/17.78 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB15) | (~v114(constB15))),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2330, 2329])).
% 27.22/17.78 tff(2332,plain,
% 27.22/17.78 (v113(constB15)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2331, 314, 2325])).
% 27.22/17.78 tff(2333,assumption,(v26(constB15)), introduced(assumption)).
% 27.22/17.78 tff(2334,plain,
% 27.22/17.78 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB15))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2335,plain,
% 27.22/17.78 ($false),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2334, 95, 2333])).
% 27.22/17.78 tff(2336,plain,(~v26(constB15)), inference(lemma,lemma(discharge,[]))).
% 27.22/17.78 tff(2337,plain,
% 27.22/17.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | v112(constB15) | (~v113(constB15)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | v112(constB15) | (~v113(constB15)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2338,plain,
% 27.22/17.78 ((v26(constB15) | (~v113(constB15)) | v112(constB15)) <=> (v26(constB15) | v112(constB15) | (~v113(constB15)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2339,plain,
% 27.22/17.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | v112(constB15) | (~v113(constB15))))),
% 27.22/17.78 inference(monotonicity,[status(thm)],[2338])).
% 27.22/17.78 tff(2340,plain,
% 27.22/17.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | v112(constB15) | (~v113(constB15)))),
% 27.22/17.78 inference(transitivity,[status(thm)],[2339, 2337])).
% 27.22/17.78 tff(2341,plain,
% 27.22/17.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2342,plain,
% 27.22/17.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | v112(constB15) | (~v113(constB15))),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2341, 2340])).
% 27.22/17.78 tff(2343,plain,
% 27.22/17.78 (v112(constB15) | (~v113(constB15))),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2342, 328, 2336])).
% 27.22/17.78 tff(2344,plain,
% 27.22/17.78 (v112(constB15)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2343, 2332])).
% 27.22/17.78 tff(2345,plain,
% 27.22/17.78 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB15) | (~v112(constB15)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB15) | (~v112(constB15)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2346,plain,
% 27.22/17.78 (((~v112(constB15)) | v108(constB15)) <=> (v108(constB15) | (~v112(constB15)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2347,plain,
% 27.22/17.78 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB15)) | v108(constB15))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB15) | (~v112(constB15))))),
% 27.22/17.78 inference(monotonicity,[status(thm)],[2346])).
% 27.22/17.78 tff(2348,plain,
% 27.22/17.78 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB15)) | v108(constB15))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB15) | (~v112(constB15)))),
% 27.22/17.78 inference(transitivity,[status(thm)],[2347, 2345])).
% 27.22/17.78 tff(2349,plain,
% 27.22/17.78 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB15)) | v108(constB15))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2350,plain,
% 27.22/17.78 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB15) | (~v112(constB15))),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2349, 2348])).
% 27.22/17.78 tff(2351,plain,
% 27.22/17.78 (v108(constB15)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2350, 340, 2344])).
% 27.22/17.78 tff(2352,plain,
% 27.22/17.78 (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2353,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_15_1')).
% 27.22/17.78 tff(2354,plain,
% 27.22/17.78 (nextState(constB15, constB16)),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2353, 2352])).
% 27.22/17.78 tff(2355,plain,
% 27.22/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2356,plain,
% 27.22/17.78 (((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16)) <=> ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2357,plain,
% 27.22/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15))))),
% 27.22/17.78 inference(monotonicity,[status(thm)],[2356])).
% 27.22/17.78 tff(2358,plain,
% 27.22/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 27.22/17.78 inference(transitivity,[status(thm)],[2357, 2355])).
% 27.22/17.78 tff(2359,plain,
% 27.22/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2360,plain,
% 27.22/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15))),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2359, 2358])).
% 27.22/17.78 tff(2361,plain,
% 27.22/17.78 (v110(constB16) | (~v108(constB15))),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2360, 360, 2354])).
% 27.22/17.78 tff(2362,plain,
% 27.22/17.78 (v110(constB16)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2361, 2351])).
% 27.22/17.78 tff(2363,plain,
% 27.22/17.78 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2364,plain,
% 27.22/17.78 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2365,plain,
% 27.22/17.78 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16))),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2364, 2363])).
% 27.22/17.78 tff(2366,plain,
% 27.22/17.78 (~v104(constB16)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2365, 378, 2354, 2180])).
% 27.22/17.78 tff(2367,plain,
% 27.22/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2368,plain,
% 27.22/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2369,plain,
% 27.22/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB15, constB16)) | v102(constB16) | v104(constB16)),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2368, 2367])).
% 27.22/17.78 tff(2370,plain,
% 27.22/17.78 (v102(constB16) | v104(constB16)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2369, 392, 2354])).
% 27.22/17.78 tff(2371,plain,
% 27.22/17.78 (v102(constB16)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2370, 2366])).
% 27.22/17.78 tff(2372,plain,
% 27.22/17.78 (v1(constB16) <=> v1(constB16)),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2373,axiom,(v1(constB16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_16_1')).
% 27.22/17.78 tff(2374,plain,
% 27.22/17.78 (v1(constB16)),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2373, 2372])).
% 27.22/17.78 tff(2375,plain,
% 27.22/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2376,plain,
% 27.22/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2377,plain,
% 27.22/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16))),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2376, 2375])).
% 27.22/17.78 tff(2378,plain,
% 27.22/17.78 (v101(constB16) | (~v102(constB16))),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2377, 410, 2354, 2374])).
% 27.22/17.78 tff(2379,plain,
% 27.22/17.78 (v101(constB16)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2378, 2371])).
% 27.22/17.78 tff(2380,plain,
% 27.22/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2381,plain,
% 27.22/17.78 (((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16)) <=> ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2382,plain,
% 27.22/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16))))),
% 27.22/17.78 inference(monotonicity,[status(thm)],[2381])).
% 27.22/17.78 tff(2383,plain,
% 27.22/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 27.22/17.78 inference(transitivity,[status(thm)],[2382, 2380])).
% 27.22/17.78 tff(2384,plain,
% 27.22/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2385,plain,
% 27.22/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16))),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2384, 2383])).
% 27.22/17.78 tff(2386,plain,
% 27.22/17.78 (v100(constB16) | (~v101(constB16)) | (~v110(constB16))),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2385, 425, 2354])).
% 27.22/17.78 tff(2387,plain,
% 27.22/17.78 (v100(constB16) | (~v110(constB16))),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2386, 2379])).
% 27.22/17.78 tff(2388,plain,
% 27.22/17.78 (v100(constB16)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2387, 2362])).
% 27.22/17.78 tff(2389,plain,
% 27.22/17.78 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB15)) | (~v130(constB15, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB15)) | (~v130(constB15, 2)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2390,plain,
% 27.22/17.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB15)) | (~v130(constB15, 2)))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2391,plain,
% 27.22/17.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB15)) | (~v130(constB15, 2))),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2390, 2389])).
% 27.22/17.78 tff(2392,plain,
% 27.22/17.78 (~v130(constB15, 2)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2391, 785, 2293])).
% 27.22/17.78 tff(2393,plain,
% 27.22/17.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB15, 2)) | v26(constB15) | v130(constB15, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB15, 2)) | v26(constB15) | v130(constB15, 2))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2394,plain,
% 27.22/17.78 ((v26(constB15) | v130(constB15, 2) | (~v127(constB15, 2))) <=> ((~v127(constB15, 2)) | v26(constB15) | v130(constB15, 2))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2395,plain,
% 27.22/17.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB15) | v130(constB15, 2) | (~v127(constB15, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB15, 2)) | v26(constB15) | v130(constB15, 2)))),
% 27.22/17.78 inference(monotonicity,[status(thm)],[2394])).
% 27.22/17.78 tff(2396,plain,
% 27.22/17.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB15) | v130(constB15, 2) | (~v127(constB15, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB15, 2)) | v26(constB15) | v130(constB15, 2))),
% 27.22/17.78 inference(transitivity,[status(thm)],[2395, 2393])).
% 27.22/17.78 tff(2397,plain,
% 27.22/17.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB15) | v130(constB15, 2) | (~v127(constB15, 2)))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2398,plain,
% 27.22/17.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB15, 2)) | v26(constB15) | v130(constB15, 2)),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2397, 2396])).
% 27.22/17.78 tff(2399,plain,
% 27.22/17.78 ((~v127(constB15, 2)) | v130(constB15, 2)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2398, 455, 2336])).
% 27.22/17.78 tff(2400,plain,
% 27.22/17.78 (~v127(constB15, 2)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2399, 2392])).
% 27.22/17.78 tff(2401,plain,
% 27.22/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB15, constB16)) | v127(constB15, 2) | (~v129(constB16, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB15, constB16)) | v127(constB15, 2) | (~v129(constB16, 2)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2402,plain,
% 27.22/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB15, constB16)) | v127(constB15, 2) | (~v129(constB16, 2)))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2403,plain,
% 27.22/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB15, constB16)) | v127(constB15, 2) | (~v129(constB16, 2))),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2402, 2401])).
% 27.22/17.78 tff(2404,plain,
% 27.22/17.78 (v127(constB15, 2) | (~v129(constB16, 2))),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2403, 473, 2354])).
% 27.22/17.78 tff(2405,plain,
% 27.22/17.78 (~v129(constB16, 2)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2404, 2400])).
% 27.22/17.78 tff(2406,plain,
% 27.22/17.78 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB16, 2)) | v129(constB16, 2) | (~v100(constB16)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB16, 2)) | v129(constB16, 2) | (~v100(constB16)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2407,plain,
% 27.22/17.78 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB16, 2)) | v129(constB16, 2) | (~v100(constB16)))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2408,plain,
% 27.22/17.78 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB16, 2)) | v129(constB16, 2) | (~v100(constB16))),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2407, 2406])).
% 27.22/17.78 tff(2409,plain,
% 27.22/17.78 ((~v90(constB16, 2)) | (~v100(constB16))),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2408, 488, 2405])).
% 27.22/17.78 tff(2410,plain,
% 27.22/17.78 (~v90(constB16, 2)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2409, 2388])).
% 27.22/17.78 tff(2411,plain,
% 27.22/17.78 ((~v1(constB17)) <=> (~v1(constB17))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2412,axiom,(~v1(constB17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_17_1_1')).
% 27.22/17.78 tff(2413,plain,
% 27.22/17.78 (~v1(constB17)),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2412, 2411])).
% 27.22/17.78 tff(2414,plain,
% 27.22/17.78 (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2415,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_16_1')).
% 27.22/17.78 tff(2416,plain,
% 27.22/17.78 (nextState(constB16, constB17)),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2415, 2414])).
% 27.22/17.78 tff(2417,plain,
% 27.22/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2418,plain,
% 27.22/17.78 (((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17)) <=> (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2419,plain,
% 27.22/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17))))),
% 27.22/17.78 inference(monotonicity,[status(thm)],[2418])).
% 27.22/17.78 tff(2420,plain,
% 27.22/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 27.22/17.78 inference(transitivity,[status(thm)],[2419, 2417])).
% 27.22/17.78 tff(2421,plain,
% 27.22/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2422,plain,
% 27.22/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17))),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2421, 2420])).
% 27.22/17.78 tff(2423,plain,
% 27.22/17.78 (~v101(constB17)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2422, 138, 2416, 2413])).
% 27.22/17.78 tff(2424,plain,
% 27.22/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2425,plain,
% 27.22/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2426,plain,
% 27.22/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17))),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2425, 2424])).
% 27.22/17.78 tff(2427,plain,
% 27.22/17.78 (v101(constB17) | (~v100(constB17))),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2426, 155, 2416])).
% 27.22/17.78 tff(2428,plain,
% 27.22/17.78 (~v100(constB17)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2427, 2423])).
% 27.22/17.78 tff(2429,plain,
% 27.22/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB16, 2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB16, 2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 2)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2430,plain,
% 27.22/17.78 (((~nextState(constB16, constB17)) | v90(constB16, 2) | v100(constB17) | (~v90(constB17, 2))) <=> (v90(constB16, 2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 2)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2431,plain,
% 27.22/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB16, constB17)) | v90(constB16, 2) | v100(constB17) | (~v90(constB17, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB16, 2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 2))))),
% 27.22/17.78 inference(monotonicity,[status(thm)],[2430])).
% 27.22/17.78 tff(2432,plain,
% 27.22/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB16, constB17)) | v90(constB16, 2) | v100(constB17) | (~v90(constB17, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB16, 2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 2)))),
% 27.22/17.78 inference(transitivity,[status(thm)],[2431, 2429])).
% 27.22/17.78 tff(2433,plain,
% 27.22/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB16, constB17)) | v90(constB16, 2) | v100(constB17) | (~v90(constB17, 2)))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2434,plain,
% 27.22/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB16, 2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 2))),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2433, 2432])).
% 27.22/17.78 tff(2435,plain,
% 27.22/17.78 (v90(constB16, 2) | v100(constB17) | (~v90(constB17, 2))),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2434, 170, 2416])).
% 27.22/17.78 tff(2436,plain,
% 27.22/17.78 (v90(constB16, 2) | (~v90(constB17, 2))),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2435, 2428])).
% 27.22/17.78 tff(2437,plain,
% 27.22/17.78 (~v90(constB17, 2)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2436, 2410])).
% 27.22/17.78 tff(2438,plain,
% 27.22/17.78 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB15)) | v130(constB15, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB15)) | v130(constB15, 1))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2439,plain,
% 27.22/17.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB15)) | v130(constB15, 1))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2440,plain,
% 27.22/17.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB15)) | v130(constB15, 1)),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2439, 2438])).
% 27.22/17.78 tff(2441,plain,
% 27.22/17.78 (v130(constB15, 1)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2440, 841, 2293])).
% 27.22/17.78 tff(2442,plain,
% 27.22/17.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB15) | (~v130(constB15, 1)) | v127(constB15, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB15) | (~v130(constB15, 1)) | v127(constB15, 1))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2443,plain,
% 27.22/17.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB15) | (~v130(constB15, 1)) | v127(constB15, 1))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2444,plain,
% 27.22/17.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB15) | (~v130(constB15, 1)) | v127(constB15, 1)),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2443, 2442])).
% 27.22/17.78 tff(2445,plain,
% 27.22/17.78 ((~v130(constB15, 1)) | v127(constB15, 1)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2444, 855, 2336])).
% 27.22/17.78 tff(2446,plain,
% 27.22/17.78 (v127(constB15, 1)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2445, 2441])).
% 27.22/17.78 tff(2447,plain,
% 27.22/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB15, constB16)) | (~v127(constB15, 1)) | v129(constB16, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB15, constB16)) | (~v127(constB15, 1)) | v129(constB16, 1))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2448,plain,
% 27.22/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB15, constB16)) | (~v127(constB15, 1)) | v129(constB16, 1))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2449,plain,
% 27.22/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB15, constB16)) | (~v127(constB15, 1)) | v129(constB16, 1)),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2448, 2447])).
% 27.22/17.78 tff(2450,plain,
% 27.22/17.78 ((~v127(constB15, 1)) | v129(constB16, 1)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2449, 870, 2354])).
% 27.22/17.78 tff(2451,plain,
% 27.22/17.78 (v129(constB16, 1)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2450, 2446])).
% 27.22/17.78 tff(2452,plain,
% 27.22/17.78 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB16, 1) | (~v129(constB16, 1)) | (~v100(constB16)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB16, 1) | (~v129(constB16, 1)) | (~v100(constB16)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2453,plain,
% 27.22/17.78 ((v90(constB16, 1) | (~v100(constB16)) | (~v129(constB16, 1))) <=> (v90(constB16, 1) | (~v129(constB16, 1)) | (~v100(constB16)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2454,plain,
% 27.22/17.78 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB16, 1) | (~v100(constB16)) | (~v129(constB16, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB16, 1) | (~v129(constB16, 1)) | (~v100(constB16))))),
% 27.22/17.78 inference(monotonicity,[status(thm)],[2453])).
% 27.22/17.78 tff(2455,plain,
% 27.22/17.78 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB16, 1) | (~v100(constB16)) | (~v129(constB16, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB16, 1) | (~v129(constB16, 1)) | (~v100(constB16)))),
% 27.22/17.78 inference(transitivity,[status(thm)],[2454, 2452])).
% 27.22/17.78 tff(2456,plain,
% 27.22/17.78 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB16, 1) | (~v100(constB16)) | (~v129(constB16, 1)))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2457,plain,
% 27.22/17.78 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB16, 1) | (~v129(constB16, 1)) | (~v100(constB16))),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2456, 2455])).
% 27.22/17.78 tff(2458,plain,
% 27.22/17.78 (v90(constB16, 1) | (~v100(constB16))),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2457, 885, 2451])).
% 27.22/17.78 tff(2459,plain,
% 27.22/17.78 (v90(constB16, 1)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2458, 2388])).
% 27.22/17.78 tff(2460,plain,
% 27.22/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB16, 1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB16, 1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, 1))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2461,plain,
% 27.22/17.78 (((~nextState(constB16, constB17)) | (~v90(constB16, 1)) | v100(constB17) | v90(constB17, 1)) <=> ((~v90(constB16, 1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, 1))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2462,plain,
% 27.22/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB16, constB17)) | (~v90(constB16, 1)) | v100(constB17) | v90(constB17, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB16, 1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, 1)))),
% 27.22/17.78 inference(monotonicity,[status(thm)],[2461])).
% 27.22/17.78 tff(2463,plain,
% 27.22/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB16, constB17)) | (~v90(constB16, 1)) | v100(constB17) | v90(constB17, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB16, 1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, 1))),
% 27.22/17.78 inference(transitivity,[status(thm)],[2462, 2460])).
% 27.22/17.78 tff(2464,plain,
% 27.22/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB16, constB17)) | (~v90(constB16, 1)) | v100(constB17) | v90(constB17, 1))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2465,plain,
% 27.22/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB16, 1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, 1)),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2464, 2463])).
% 27.22/17.78 tff(2466,plain,
% 27.22/17.78 ((~v90(constB16, 1)) | v100(constB17) | v90(constB17, 1)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2465, 903, 2416])).
% 27.22/17.78 tff(2467,plain,
% 27.22/17.78 ((~v90(constB16, 1)) | v90(constB17, 1)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2466, 2428])).
% 27.22/17.78 tff(2468,plain,
% 27.22/17.78 (v90(constB17, 1)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2467, 2459])).
% 27.22/17.78 tff(2469,plain,
% 27.22/17.78 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB15)) | (~v130(constB15, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB15)) | (~v130(constB15, 0)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2470,plain,
% 27.22/17.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB15)) | (~v130(constB15, 0)))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2471,plain,
% 27.22/17.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB15)) | (~v130(constB15, 0))),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2470, 2469])).
% 27.22/17.78 tff(2472,plain,
% 27.22/17.78 (~v130(constB15, 0)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2471, 919, 2293])).
% 27.22/17.78 tff(2473,plain,
% 27.22/17.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB15, 0)) | v26(constB15) | v130(constB15, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB15, 0)) | v26(constB15) | v130(constB15, 0))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2474,plain,
% 27.22/17.78 ((v26(constB15) | v130(constB15, 0) | (~v127(constB15, 0))) <=> ((~v127(constB15, 0)) | v26(constB15) | v130(constB15, 0))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2475,plain,
% 27.22/17.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB15) | v130(constB15, 0) | (~v127(constB15, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB15, 0)) | v26(constB15) | v130(constB15, 0)))),
% 27.22/17.78 inference(monotonicity,[status(thm)],[2474])).
% 27.22/17.78 tff(2476,plain,
% 27.22/17.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB15) | v130(constB15, 0) | (~v127(constB15, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB15, 0)) | v26(constB15) | v130(constB15, 0))),
% 27.22/17.78 inference(transitivity,[status(thm)],[2475, 2473])).
% 27.22/17.78 tff(2477,plain,
% 27.22/17.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB15) | v130(constB15, 0) | (~v127(constB15, 0)))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2478,plain,
% 27.22/17.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB15, 0)) | v26(constB15) | v130(constB15, 0)),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2477, 2476])).
% 27.22/17.78 tff(2479,plain,
% 27.22/17.78 ((~v127(constB15, 0)) | v130(constB15, 0)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2478, 933, 2336])).
% 27.22/17.78 tff(2480,plain,
% 27.22/17.78 (~v127(constB15, 0)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2479, 2472])).
% 27.22/17.78 tff(2481,plain,
% 27.22/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB15, constB16)) | v127(constB15, 0) | (~v129(constB16, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB15, constB16)) | v127(constB15, 0) | (~v129(constB16, 0)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2482,plain,
% 27.22/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB15, constB16)) | v127(constB15, 0) | (~v129(constB16, 0)))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2483,plain,
% 27.22/17.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB15, constB16)) | v127(constB15, 0) | (~v129(constB16, 0))),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2482, 2481])).
% 27.22/17.78 tff(2484,plain,
% 27.22/17.78 (v127(constB15, 0) | (~v129(constB16, 0))),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2483, 951, 2354])).
% 27.22/17.78 tff(2485,plain,
% 27.22/17.78 (~v129(constB16, 0)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2484, 2480])).
% 27.22/17.78 tff(2486,plain,
% 27.22/17.78 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB16, 0)) | v129(constB16, 0) | (~v100(constB16)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB16, 0)) | v129(constB16, 0) | (~v100(constB16)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2487,plain,
% 27.22/17.78 (((~v90(constB16, 0)) | (~v100(constB16)) | v129(constB16, 0)) <=> ((~v90(constB16, 0)) | v129(constB16, 0) | (~v100(constB16)))),
% 27.22/17.78 inference(rewrite,[status(thm)],[])).
% 27.22/17.78 tff(2488,plain,
% 27.22/17.78 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB16, 0)) | (~v100(constB16)) | v129(constB16, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB16, 0)) | v129(constB16, 0) | (~v100(constB16))))),
% 27.22/17.78 inference(monotonicity,[status(thm)],[2487])).
% 27.22/17.78 tff(2489,plain,
% 27.22/17.78 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB16, 0)) | (~v100(constB16)) | v129(constB16, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB16, 0)) | v129(constB16, 0) | (~v100(constB16)))),
% 27.22/17.78 inference(transitivity,[status(thm)],[2488, 2486])).
% 27.22/17.78 tff(2490,plain,
% 27.22/17.78 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB16, 0)) | (~v100(constB16)) | v129(constB16, 0))),
% 27.22/17.78 inference(quant_inst,[status(thm)],[])).
% 27.22/17.78 tff(2491,plain,
% 27.22/17.78 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB16, 0)) | v129(constB16, 0) | (~v100(constB16))),
% 27.22/17.78 inference(modus_ponens,[status(thm)],[2490, 2489])).
% 27.22/17.78 tff(2492,plain,
% 27.22/17.78 ((~v90(constB16, 0)) | (~v100(constB16))),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2491, 966, 2485])).
% 27.22/17.78 tff(2493,plain,
% 27.22/17.78 (~v90(constB16, 0)),
% 27.22/17.78 inference(unit_resolution,[status(thm)],[2492, 2388])).
% 27.22/17.78 tff(2494,plain,
% 27.22/17.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB16, 0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB16, 0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 0)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2495,plain,
% 27.22/17.79 (((~nextState(constB16, constB17)) | v90(constB16, 0) | v100(constB17) | (~v90(constB17, 0))) <=> (v90(constB16, 0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 0)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2496,plain,
% 27.22/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB16, constB17)) | v90(constB16, 0) | v100(constB17) | (~v90(constB17, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB16, 0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 0))))),
% 27.22/17.79 inference(monotonicity,[status(thm)],[2495])).
% 27.22/17.79 tff(2497,plain,
% 27.22/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB16, constB17)) | v90(constB16, 0) | v100(constB17) | (~v90(constB17, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB16, 0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 0)))),
% 27.22/17.79 inference(transitivity,[status(thm)],[2496, 2494])).
% 27.22/17.79 tff(2498,plain,
% 27.22/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB16, constB17)) | v90(constB16, 0) | v100(constB17) | (~v90(constB17, 0)))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2499,plain,
% 27.22/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB16, 0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 0))),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2498, 2497])).
% 27.22/17.79 tff(2500,plain,
% 27.22/17.79 (v90(constB16, 0) | v100(constB17) | (~v90(constB17, 0))),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2499, 212, 2416])).
% 27.22/17.79 tff(2501,plain,
% 27.22/17.79 (v90(constB16, 0) | (~v90(constB17, 0))),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2500, 2428])).
% 27.22/17.79 tff(2502,plain,
% 27.22/17.79 (~v90(constB17, 0)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2501, 2493])).
% 27.22/17.79 tff(2503,plain,
% 27.22/17.79 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB17, 0) | (~v90(constB17, 1)) | v90(constB17, 2) | v121(constB17))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB17, 0) | (~v90(constB17, 1)) | v90(constB17, 2) | v121(constB17))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2504,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB17, 0) | (~v90(constB17, 1)) | v90(constB17, 2) | v121(constB17))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2505,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB17, 0) | (~v90(constB17, 1)) | v90(constB17, 2) | v121(constB17)),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2504, 2503])).
% 27.22/17.79 tff(2506,plain,
% 27.22/17.79 (v121(constB17)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2505, 993, 2502, 2468, 2437])).
% 27.22/17.79 tff(2507,plain,
% 27.22/17.79 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB17)) | v117(constB17))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB17)) | v117(constB17))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2508,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB17)) | v117(constB17))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2509,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB17)) | v117(constB17)),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2508, 2507])).
% 27.22/17.79 tff(2510,plain,
% 27.22/17.79 (v117(constB17)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2509, 1004, 2506])).
% 27.22/17.79 tff(2511,plain,
% 27.22/17.79 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB17) | (~v117(constB17)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB17) | (~v117(constB17)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2512,plain,
% 27.22/17.79 (((~v117(constB17)) | v116(constB17)) <=> (v116(constB17) | (~v117(constB17)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2513,plain,
% 27.22/17.79 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB17)) | v116(constB17))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB17) | (~v117(constB17))))),
% 27.22/17.79 inference(monotonicity,[status(thm)],[2512])).
% 27.22/17.79 tff(2514,plain,
% 27.22/17.79 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB17)) | v116(constB17))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB17) | (~v117(constB17)))),
% 27.22/17.79 inference(transitivity,[status(thm)],[2513, 2511])).
% 27.22/17.79 tff(2515,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB17)) | v116(constB17))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2516,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB17) | (~v117(constB17))),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2515, 2514])).
% 27.22/17.79 tff(2517,plain,
% 27.22/17.79 (v116(constB17)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2516, 272, 2510])).
% 27.22/17.79 tff(2518,plain,
% 27.22/17.79 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB17)) | v115(constB17))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB17)) | v115(constB17))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2519,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB17)) | v115(constB17))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2520,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB17)) | v115(constB17)),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2519, 2518])).
% 27.22/17.79 tff(2521,plain,
% 27.22/17.79 (v115(constB17)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2520, 286, 2517])).
% 27.22/17.79 tff(2522,plain,
% 27.22/17.79 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB17) | (~v115(constB17)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB17) | (~v115(constB17)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2523,plain,
% 27.22/17.79 (((~v115(constB17)) | v114(constB17)) <=> (v114(constB17) | (~v115(constB17)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2524,plain,
% 27.22/17.79 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB17)) | v114(constB17))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB17) | (~v115(constB17))))),
% 27.22/17.79 inference(monotonicity,[status(thm)],[2523])).
% 27.22/17.79 tff(2525,plain,
% 27.22/17.79 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB17)) | v114(constB17))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB17) | (~v115(constB17)))),
% 27.22/17.79 inference(transitivity,[status(thm)],[2524, 2522])).
% 27.22/17.79 tff(2526,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB17)) | v114(constB17))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2527,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB17) | (~v115(constB17))),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2526, 2525])).
% 27.22/17.79 tff(2528,plain,
% 27.22/17.79 (v114(constB17)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2527, 300, 2521])).
% 27.22/17.79 tff(2529,plain,
% 27.22/17.79 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB17) | (~v114(constB17)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB17) | (~v114(constB17)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2530,plain,
% 27.22/17.79 (((~v114(constB17)) | v113(constB17)) <=> (v113(constB17) | (~v114(constB17)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2531,plain,
% 27.22/17.79 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB17)) | v113(constB17))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB17) | (~v114(constB17))))),
% 27.22/17.79 inference(monotonicity,[status(thm)],[2530])).
% 27.22/17.79 tff(2532,plain,
% 27.22/17.79 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB17)) | v113(constB17))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB17) | (~v114(constB17)))),
% 27.22/17.79 inference(transitivity,[status(thm)],[2531, 2529])).
% 27.22/17.79 tff(2533,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB17)) | v113(constB17))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2534,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB17) | (~v114(constB17))),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2533, 2532])).
% 27.22/17.79 tff(2535,plain,
% 27.22/17.79 (v113(constB17)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2534, 314, 2528])).
% 27.22/17.79 tff(2536,assumption,(v26(constB17)), introduced(assumption)).
% 27.22/17.79 tff(2537,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB17))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2538,plain,
% 27.22/17.79 ($false),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2537, 95, 2536])).
% 27.22/17.79 tff(2539,plain,(~v26(constB17)), inference(lemma,lemma(discharge,[]))).
% 27.22/17.79 tff(2540,plain,
% 27.22/17.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | (~v113(constB17)) | v112(constB17))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2541,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2542,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | (~v113(constB17)) | v112(constB17)),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2541, 2540])).
% 27.22/17.79 tff(2543,plain,
% 27.22/17.79 ((~v113(constB17)) | v112(constB17)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2542, 328, 2539])).
% 27.22/17.79 tff(2544,plain,
% 27.22/17.79 (v112(constB17)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2543, 2535])).
% 27.22/17.79 tff(2545,plain,
% 27.22/17.79 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB17) | (~v112(constB17)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB17) | (~v112(constB17)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2546,plain,
% 27.22/17.79 (((~v112(constB17)) | v108(constB17)) <=> (v108(constB17) | (~v112(constB17)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2547,plain,
% 27.22/17.79 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB17)) | v108(constB17))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB17) | (~v112(constB17))))),
% 27.22/17.79 inference(monotonicity,[status(thm)],[2546])).
% 27.22/17.79 tff(2548,plain,
% 27.22/17.79 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB17)) | v108(constB17))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB17) | (~v112(constB17)))),
% 27.22/17.79 inference(transitivity,[status(thm)],[2547, 2545])).
% 27.22/17.79 tff(2549,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB17)) | v108(constB17))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2550,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB17) | (~v112(constB17))),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2549, 2548])).
% 27.22/17.79 tff(2551,plain,
% 27.22/17.79 (v108(constB17)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2550, 340, 2544])).
% 27.22/17.79 tff(2552,plain,
% 27.22/17.79 (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2553,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_17_1')).
% 27.22/17.79 tff(2554,plain,
% 27.22/17.79 (nextState(constB17, constB18)),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2553, 2552])).
% 27.22/17.79 tff(2555,plain,
% 27.22/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2556,plain,
% 27.22/17.79 (((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18)) <=> ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2557,plain,
% 27.22/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17))))),
% 27.22/17.79 inference(monotonicity,[status(thm)],[2556])).
% 27.22/17.79 tff(2558,plain,
% 27.22/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 27.22/17.79 inference(transitivity,[status(thm)],[2557, 2555])).
% 27.22/17.79 tff(2559,plain,
% 27.22/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2560,plain,
% 27.22/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17))),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2559, 2558])).
% 27.22/17.79 tff(2561,plain,
% 27.22/17.79 (v110(constB18) | (~v108(constB17))),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2560, 360, 2554])).
% 27.22/17.79 tff(2562,plain,
% 27.22/17.79 (v110(constB18)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2561, 2551])).
% 27.22/17.79 tff(2563,plain,
% 27.22/17.79 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2564,plain,
% 27.22/17.79 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2565,plain,
% 27.22/17.79 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18))),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2564, 2563])).
% 27.22/17.79 tff(2566,plain,
% 27.22/17.79 (~v104(constB18)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2565, 378, 2554, 2413])).
% 27.22/17.79 tff(2567,plain,
% 27.22/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2568,plain,
% 27.22/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2569,plain,
% 27.22/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB17, constB18)) | v102(constB18) | v104(constB18)),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2568, 2567])).
% 27.22/17.79 tff(2570,plain,
% 27.22/17.79 (v102(constB18) | v104(constB18)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2569, 392, 2554])).
% 27.22/17.79 tff(2571,plain,
% 27.22/17.79 (v102(constB18)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2570, 2566])).
% 27.22/17.79 tff(2572,plain,
% 27.22/17.79 (v1(constB18) <=> v1(constB18)),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2573,axiom,(v1(constB18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_18_1')).
% 27.22/17.79 tff(2574,plain,
% 27.22/17.79 (v1(constB18)),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2573, 2572])).
% 27.22/17.79 tff(2575,plain,
% 27.22/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2576,plain,
% 27.22/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2577,plain,
% 27.22/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18))),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2576, 2575])).
% 27.22/17.79 tff(2578,plain,
% 27.22/17.79 (v101(constB18) | (~v102(constB18))),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2577, 410, 2554, 2574])).
% 27.22/17.79 tff(2579,plain,
% 27.22/17.79 (v101(constB18)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2578, 2571])).
% 27.22/17.79 tff(2580,plain,
% 27.22/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2581,plain,
% 27.22/17.79 (((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18)) <=> ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2582,plain,
% 27.22/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18))))),
% 27.22/17.79 inference(monotonicity,[status(thm)],[2581])).
% 27.22/17.79 tff(2583,plain,
% 27.22/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 27.22/17.79 inference(transitivity,[status(thm)],[2582, 2580])).
% 27.22/17.79 tff(2584,plain,
% 27.22/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2585,plain,
% 27.22/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18))),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2584, 2583])).
% 27.22/17.79 tff(2586,plain,
% 27.22/17.79 (v100(constB18) | (~v101(constB18)) | (~v110(constB18))),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2585, 425, 2554])).
% 27.22/17.79 tff(2587,plain,
% 27.22/17.79 (v100(constB18) | (~v110(constB18))),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2586, 2579])).
% 27.22/17.79 tff(2588,plain,
% 27.22/17.79 (v100(constB18)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2587, 2562])).
% 27.22/17.79 tff(2589,plain,
% 27.22/17.79 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB17)) | (~v130(constB17, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB17)) | (~v130(constB17, 2)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2590,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB17)) | (~v130(constB17, 2)))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2591,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB17)) | (~v130(constB17, 2))),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2590, 2589])).
% 27.22/17.79 tff(2592,plain,
% 27.22/17.79 (~v130(constB17, 2)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2591, 1155, 2506])).
% 27.22/17.79 tff(2593,plain,
% 27.22/17.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB17, 2)) | v26(constB17) | v130(constB17, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB17, 2)) | v26(constB17) | v130(constB17, 2))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2594,plain,
% 27.22/17.79 ((v26(constB17) | v130(constB17, 2) | (~v127(constB17, 2))) <=> ((~v127(constB17, 2)) | v26(constB17) | v130(constB17, 2))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2595,plain,
% 27.22/17.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB17) | v130(constB17, 2) | (~v127(constB17, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB17, 2)) | v26(constB17) | v130(constB17, 2)))),
% 27.22/17.79 inference(monotonicity,[status(thm)],[2594])).
% 27.22/17.79 tff(2596,plain,
% 27.22/17.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB17) | v130(constB17, 2) | (~v127(constB17, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB17, 2)) | v26(constB17) | v130(constB17, 2))),
% 27.22/17.79 inference(transitivity,[status(thm)],[2595, 2593])).
% 27.22/17.79 tff(2597,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB17) | v130(constB17, 2) | (~v127(constB17, 2)))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2598,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB17, 2)) | v26(constB17) | v130(constB17, 2)),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2597, 2596])).
% 27.22/17.79 tff(2599,plain,
% 27.22/17.79 ((~v127(constB17, 2)) | v130(constB17, 2)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2598, 455, 2539])).
% 27.22/17.79 tff(2600,plain,
% 27.22/17.79 (~v127(constB17, 2)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2599, 2592])).
% 27.22/17.79 tff(2601,plain,
% 27.22/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB17, constB18)) | v127(constB17, 2) | (~v129(constB18, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB17, constB18)) | v127(constB17, 2) | (~v129(constB18, 2)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2602,plain,
% 27.22/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB17, constB18)) | v127(constB17, 2) | (~v129(constB18, 2)))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2603,plain,
% 27.22/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB17, constB18)) | v127(constB17, 2) | (~v129(constB18, 2))),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2602, 2601])).
% 27.22/17.79 tff(2604,plain,
% 27.22/17.79 (v127(constB17, 2) | (~v129(constB18, 2))),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2603, 473, 2554])).
% 27.22/17.79 tff(2605,plain,
% 27.22/17.79 (~v129(constB18, 2)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2604, 2600])).
% 27.22/17.79 tff(2606,plain,
% 27.22/17.79 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB18, 2)) | v129(constB18, 2) | (~v100(constB18)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB18, 2)) | v129(constB18, 2) | (~v100(constB18)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2607,plain,
% 27.22/17.79 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB18, 2)) | v129(constB18, 2) | (~v100(constB18)))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2608,plain,
% 27.22/17.79 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB18, 2)) | v129(constB18, 2) | (~v100(constB18))),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2607, 2606])).
% 27.22/17.79 tff(2609,plain,
% 27.22/17.79 ((~v90(constB18, 2)) | (~v100(constB18))),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2608, 488, 2605])).
% 27.22/17.79 tff(2610,plain,
% 27.22/17.79 (~v90(constB18, 2)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2609, 2588])).
% 27.22/17.79 tff(2611,plain,
% 27.22/17.79 ((~v1(constB19)) <=> (~v1(constB19))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2612,axiom,(~v1(constB19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_19_1_1')).
% 27.22/17.79 tff(2613,plain,
% 27.22/17.79 (~v1(constB19)),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2612, 2611])).
% 27.22/17.79 tff(2614,plain,
% 27.22/17.79 (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2615,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_18_1')).
% 27.22/17.79 tff(2616,plain,
% 27.22/17.79 (nextState(constB18, constB19)),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2615, 2614])).
% 27.22/17.79 tff(2617,plain,
% 27.22/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2618,plain,
% 27.22/17.79 (((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19)) <=> (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2619,plain,
% 27.22/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19))))),
% 27.22/17.79 inference(monotonicity,[status(thm)],[2618])).
% 27.22/17.79 tff(2620,plain,
% 27.22/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 27.22/17.79 inference(transitivity,[status(thm)],[2619, 2617])).
% 27.22/17.79 tff(2621,plain,
% 27.22/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2622,plain,
% 27.22/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19))),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2621, 2620])).
% 27.22/17.79 tff(2623,plain,
% 27.22/17.79 (~v101(constB19)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2622, 138, 2616, 2613])).
% 27.22/17.79 tff(2624,plain,
% 27.22/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2625,plain,
% 27.22/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2626,plain,
% 27.22/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19))),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2625, 2624])).
% 27.22/17.79 tff(2627,plain,
% 27.22/17.79 (v101(constB19) | (~v100(constB19))),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2626, 155, 2616])).
% 27.22/17.79 tff(2628,plain,
% 27.22/17.79 (~v100(constB19)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2627, 2623])).
% 27.22/17.79 tff(2629,plain,
% 27.22/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB18, 2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB18, 2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 2)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2630,plain,
% 27.22/17.79 (((~nextState(constB18, constB19)) | v90(constB18, 2) | v100(constB19) | (~v90(constB19, 2))) <=> (v90(constB18, 2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 2)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2631,plain,
% 27.22/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB18, constB19)) | v90(constB18, 2) | v100(constB19) | (~v90(constB19, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB18, 2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 2))))),
% 27.22/17.79 inference(monotonicity,[status(thm)],[2630])).
% 27.22/17.79 tff(2632,plain,
% 27.22/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB18, constB19)) | v90(constB18, 2) | v100(constB19) | (~v90(constB19, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB18, 2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 2)))),
% 27.22/17.79 inference(transitivity,[status(thm)],[2631, 2629])).
% 27.22/17.79 tff(2633,plain,
% 27.22/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB18, constB19)) | v90(constB18, 2) | v100(constB19) | (~v90(constB19, 2)))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2634,plain,
% 27.22/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB18, 2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 2))),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2633, 2632])).
% 27.22/17.79 tff(2635,plain,
% 27.22/17.79 (v90(constB18, 2) | v100(constB19) | (~v90(constB19, 2))),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2634, 170, 2616])).
% 27.22/17.79 tff(2636,plain,
% 27.22/17.79 (v90(constB18, 2) | (~v90(constB19, 2))),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2635, 2628])).
% 27.22/17.79 tff(2637,plain,
% 27.22/17.79 (~v90(constB19, 2)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2636, 2610])).
% 27.22/17.79 tff(2638,plain,
% 27.22/17.79 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB17)) | v130(constB17, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB17)) | v130(constB17, 1))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2639,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB17)) | v130(constB17, 1))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2640,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB17)) | v130(constB17, 1)),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2639, 2638])).
% 27.22/17.79 tff(2641,plain,
% 27.22/17.79 (v130(constB17, 1)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2640, 1235, 2506])).
% 27.22/17.79 tff(2642,plain,
% 27.22/17.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB17) | (~v130(constB17, 1)) | v127(constB17, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB17) | (~v130(constB17, 1)) | v127(constB17, 1))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2643,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB17) | (~v130(constB17, 1)) | v127(constB17, 1))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2644,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB17) | (~v130(constB17, 1)) | v127(constB17, 1)),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2643, 2642])).
% 27.22/17.79 tff(2645,plain,
% 27.22/17.79 ((~v130(constB17, 1)) | v127(constB17, 1)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2644, 855, 2539])).
% 27.22/17.79 tff(2646,plain,
% 27.22/17.79 (v127(constB17, 1)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2645, 2641])).
% 27.22/17.79 tff(2647,plain,
% 27.22/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB17, constB18)) | (~v127(constB17, 1)) | v129(constB18, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB17, constB18)) | (~v127(constB17, 1)) | v129(constB18, 1))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2648,plain,
% 27.22/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB17, constB18)) | (~v127(constB17, 1)) | v129(constB18, 1))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2649,plain,
% 27.22/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB17, constB18)) | (~v127(constB17, 1)) | v129(constB18, 1)),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2648, 2647])).
% 27.22/17.79 tff(2650,plain,
% 27.22/17.79 ((~v127(constB17, 1)) | v129(constB18, 1)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2649, 870, 2554])).
% 27.22/17.79 tff(2651,plain,
% 27.22/17.79 (v129(constB18, 1)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2650, 2646])).
% 27.22/17.79 tff(2652,plain,
% 27.22/17.79 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB18, 1) | (~v129(constB18, 1)) | (~v100(constB18)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB18, 1) | (~v129(constB18, 1)) | (~v100(constB18)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2653,plain,
% 27.22/17.79 ((v90(constB18, 1) | (~v100(constB18)) | (~v129(constB18, 1))) <=> (v90(constB18, 1) | (~v129(constB18, 1)) | (~v100(constB18)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2654,plain,
% 27.22/17.79 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB18, 1) | (~v100(constB18)) | (~v129(constB18, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB18, 1) | (~v129(constB18, 1)) | (~v100(constB18))))),
% 27.22/17.79 inference(monotonicity,[status(thm)],[2653])).
% 27.22/17.79 tff(2655,plain,
% 27.22/17.79 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB18, 1) | (~v100(constB18)) | (~v129(constB18, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB18, 1) | (~v129(constB18, 1)) | (~v100(constB18)))),
% 27.22/17.79 inference(transitivity,[status(thm)],[2654, 2652])).
% 27.22/17.79 tff(2656,plain,
% 27.22/17.79 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB18, 1) | (~v100(constB18)) | (~v129(constB18, 1)))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2657,plain,
% 27.22/17.79 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB18, 1) | (~v129(constB18, 1)) | (~v100(constB18))),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2656, 2655])).
% 27.22/17.79 tff(2658,plain,
% 27.22/17.79 (v90(constB18, 1) | (~v100(constB18))),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2657, 885, 2651])).
% 27.22/17.79 tff(2659,plain,
% 27.22/17.79 (v90(constB18, 1)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2658, 2588])).
% 27.22/17.79 tff(2660,plain,
% 27.22/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB18, 1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB18, 1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 1))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2661,plain,
% 27.22/17.79 (((~nextState(constB18, constB19)) | (~v90(constB18, 1)) | v100(constB19) | v90(constB19, 1)) <=> ((~v90(constB18, 1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 1))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2662,plain,
% 27.22/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, 1)) | v100(constB19) | v90(constB19, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB18, 1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 1)))),
% 27.22/17.79 inference(monotonicity,[status(thm)],[2661])).
% 27.22/17.79 tff(2663,plain,
% 27.22/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, 1)) | v100(constB19) | v90(constB19, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB18, 1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 1))),
% 27.22/17.79 inference(transitivity,[status(thm)],[2662, 2660])).
% 27.22/17.79 tff(2664,plain,
% 27.22/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, 1)) | v100(constB19) | v90(constB19, 1))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2665,plain,
% 27.22/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB18, 1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 1)),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2664, 2663])).
% 27.22/17.79 tff(2666,plain,
% 27.22/17.79 ((~v90(constB18, 1)) | v100(constB19) | v90(constB19, 1)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2665, 903, 2616])).
% 27.22/17.79 tff(2667,plain,
% 27.22/17.79 ((~v90(constB18, 1)) | v90(constB19, 1)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2666, 2628])).
% 27.22/17.79 tff(2668,plain,
% 27.22/17.79 (v90(constB19, 1)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2667, 2659])).
% 27.22/17.79 tff(2669,plain,
% 27.22/17.79 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB17)) | v130(constB17, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB17)) | v130(constB17, 0))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2670,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB17)) | v130(constB17, 0))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2671,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB17)) | v130(constB17, 0)),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2670, 2669])).
% 27.22/17.79 tff(2672,plain,
% 27.22/17.79 (v130(constB17, 0)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2671, 1099, 2506])).
% 27.22/17.79 tff(2673,plain,
% 27.22/17.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB17) | (~v130(constB17, 0)) | v127(constB17, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB17) | (~v130(constB17, 0)) | v127(constB17, 0))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2674,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB17) | (~v130(constB17, 0)) | v127(constB17, 0))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2675,plain,
% 27.22/17.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB17) | (~v130(constB17, 0)) | v127(constB17, 0)),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2674, 2673])).
% 27.22/17.79 tff(2676,plain,
% 27.22/17.79 ((~v130(constB17, 0)) | v127(constB17, 0)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2675, 612, 2539])).
% 27.22/17.79 tff(2677,plain,
% 27.22/17.79 (v127(constB17, 0)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2676, 2672])).
% 27.22/17.79 tff(2678,plain,
% 27.22/17.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB17, constB18)) | (~v127(constB17, 0)) | v129(constB18, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB17, constB18)) | (~v127(constB17, 0)) | v129(constB18, 0))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2679,plain,
% 27.22/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB17, constB18)) | (~v127(constB17, 0)) | v129(constB18, 0))),
% 27.22/17.79 inference(quant_inst,[status(thm)],[])).
% 27.22/17.79 tff(2680,plain,
% 27.22/17.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB17, constB18)) | (~v127(constB17, 0)) | v129(constB18, 0)),
% 27.22/17.79 inference(modus_ponens,[status(thm)],[2679, 2678])).
% 27.22/17.79 tff(2681,plain,
% 27.22/17.79 ((~v127(constB17, 0)) | v129(constB18, 0)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2680, 627, 2554])).
% 27.22/17.79 tff(2682,plain,
% 27.22/17.79 (v129(constB18, 0)),
% 27.22/17.79 inference(unit_resolution,[status(thm)],[2681, 2677])).
% 27.22/17.79 tff(2683,plain,
% 27.22/17.79 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB18, 0) | (~v129(constB18, 0)) | (~v100(constB18)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB18, 0) | (~v129(constB18, 0)) | (~v100(constB18)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.79 tff(2684,plain,
% 27.22/17.79 ((v90(constB18, 0) | (~v100(constB18)) | (~v129(constB18, 0))) <=> (v90(constB18, 0) | (~v129(constB18, 0)) | (~v100(constB18)))),
% 27.22/17.79 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2685,plain,
% 27.22/17.80 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB18, 0) | (~v100(constB18)) | (~v129(constB18, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB18, 0) | (~v129(constB18, 0)) | (~v100(constB18))))),
% 27.22/17.80 inference(monotonicity,[status(thm)],[2684])).
% 27.22/17.80 tff(2686,plain,
% 27.22/17.80 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB18, 0) | (~v100(constB18)) | (~v129(constB18, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB18, 0) | (~v129(constB18, 0)) | (~v100(constB18)))),
% 27.22/17.80 inference(transitivity,[status(thm)],[2685, 2683])).
% 27.22/17.80 tff(2687,plain,
% 27.22/17.80 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB18, 0) | (~v100(constB18)) | (~v129(constB18, 0)))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2688,plain,
% 27.22/17.80 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB18, 0) | (~v129(constB18, 0)) | (~v100(constB18))),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2687, 2686])).
% 27.22/17.80 tff(2689,plain,
% 27.22/17.80 (v90(constB18, 0) | (~v100(constB18))),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2688, 642, 2682])).
% 27.22/17.80 tff(2690,plain,
% 27.22/17.80 (v90(constB18, 0)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2689, 2588])).
% 27.22/17.80 tff(2691,plain,
% 27.22/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB18, 0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB18, 0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 0))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2692,plain,
% 27.22/17.80 (((~nextState(constB18, constB19)) | (~v90(constB18, 0)) | v100(constB19) | v90(constB19, 0)) <=> ((~v90(constB18, 0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 0))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2693,plain,
% 27.22/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB18, constB19)) | (~v90(constB18, 0)) | v100(constB19) | v90(constB19, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB18, 0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 0)))),
% 27.22/17.80 inference(monotonicity,[status(thm)],[2692])).
% 27.22/17.80 tff(2694,plain,
% 27.22/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB18, constB19)) | (~v90(constB18, 0)) | v100(constB19) | v90(constB19, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB18, 0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 0))),
% 27.22/17.80 inference(transitivity,[status(thm)],[2693, 2691])).
% 27.22/17.80 tff(2695,plain,
% 27.22/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB18, constB19)) | (~v90(constB18, 0)) | v100(constB19) | v90(constB19, 0))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2696,plain,
% 27.22/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB18, 0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 0)),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2695, 2694])).
% 27.22/17.80 tff(2697,plain,
% 27.22/17.80 ((~v90(constB18, 0)) | v100(constB19) | v90(constB19, 0)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2696, 660, 2616])).
% 27.22/17.80 tff(2698,plain,
% 27.22/17.80 ((~v90(constB18, 0)) | v90(constB19, 0)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2697, 2628])).
% 27.22/17.80 tff(2699,plain,
% 27.22/17.80 (v90(constB19, 0)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2698, 2690])).
% 27.22/17.80 tff(2700,plain,
% 27.22/17.80 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB19, 0)) | (~v90(constB19, 1)) | v90(constB19, 2) | v122(constB19))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB19, 0)) | (~v90(constB19, 1)) | v90(constB19, 2) | v122(constB19))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2701,plain,
% 27.22/17.80 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB19, 0)) | (~v90(constB19, 1)) | v90(constB19, 2) | v122(constB19))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2702,plain,
% 27.22/17.80 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB19, 0)) | (~v90(constB19, 1)) | v90(constB19, 2) | v122(constB19)),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2701, 2700])).
% 27.22/17.80 tff(2703,plain,
% 27.22/17.80 (v122(constB19)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2702, 1260, 2699, 2668, 2637])).
% 27.22/17.80 tff(2704,plain,
% 27.22/17.80 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB19) | (~v122(constB19)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB19) | (~v122(constB19)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2705,plain,
% 27.22/17.80 (((~v122(constB19)) | v116(constB19)) <=> (v116(constB19) | (~v122(constB19)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2706,plain,
% 27.22/17.80 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB19)) | v116(constB19))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB19) | (~v122(constB19))))),
% 27.22/17.80 inference(monotonicity,[status(thm)],[2705])).
% 27.22/17.80 tff(2707,plain,
% 27.22/17.80 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB19)) | v116(constB19))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB19) | (~v122(constB19)))),
% 27.22/17.80 inference(transitivity,[status(thm)],[2706, 2704])).
% 27.22/17.80 tff(2708,plain,
% 27.22/17.80 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB19)) | v116(constB19))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2709,plain,
% 27.22/17.80 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB19) | (~v122(constB19))),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2708, 2707])).
% 27.22/17.80 tff(2710,plain,
% 27.22/17.80 (v116(constB19)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2709, 1272, 2703])).
% 27.22/17.80 tff(2711,plain,
% 27.22/17.80 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB19) | (~v116(constB19)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB19) | (~v116(constB19)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2712,plain,
% 27.22/17.80 (((~v116(constB19)) | v115(constB19)) <=> (v115(constB19) | (~v116(constB19)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2713,plain,
% 27.22/17.80 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB19)) | v115(constB19))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB19) | (~v116(constB19))))),
% 27.22/17.80 inference(monotonicity,[status(thm)],[2712])).
% 27.22/17.80 tff(2714,plain,
% 27.22/17.80 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB19)) | v115(constB19))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB19) | (~v116(constB19)))),
% 27.22/17.80 inference(transitivity,[status(thm)],[2713, 2711])).
% 27.22/17.80 tff(2715,plain,
% 27.22/17.80 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB19)) | v115(constB19))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2716,plain,
% 27.22/17.80 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB19) | (~v116(constB19))),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2715, 2714])).
% 27.22/17.80 tff(2717,plain,
% 27.22/17.80 (v115(constB19)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2716, 286, 2710])).
% 27.22/17.80 tff(2718,plain,
% 27.22/17.80 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB19) | (~v115(constB19)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB19) | (~v115(constB19)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2719,plain,
% 27.22/17.80 (((~v115(constB19)) | v114(constB19)) <=> (v114(constB19) | (~v115(constB19)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2720,plain,
% 27.22/17.80 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB19)) | v114(constB19))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB19) | (~v115(constB19))))),
% 27.22/17.80 inference(monotonicity,[status(thm)],[2719])).
% 27.22/17.80 tff(2721,plain,
% 27.22/17.80 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB19)) | v114(constB19))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB19) | (~v115(constB19)))),
% 27.22/17.80 inference(transitivity,[status(thm)],[2720, 2718])).
% 27.22/17.80 tff(2722,plain,
% 27.22/17.80 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB19)) | v114(constB19))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2723,plain,
% 27.22/17.80 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB19) | (~v115(constB19))),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2722, 2721])).
% 27.22/17.80 tff(2724,plain,
% 27.22/17.80 (v114(constB19)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2723, 300, 2717])).
% 27.22/17.80 tff(2725,plain,
% 27.22/17.80 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB19) | (~v114(constB19)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB19) | (~v114(constB19)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2726,plain,
% 27.22/17.80 (((~v114(constB19)) | v113(constB19)) <=> (v113(constB19) | (~v114(constB19)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2727,plain,
% 27.22/17.80 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB19)) | v113(constB19))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB19) | (~v114(constB19))))),
% 27.22/17.80 inference(monotonicity,[status(thm)],[2726])).
% 27.22/17.80 tff(2728,plain,
% 27.22/17.80 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB19)) | v113(constB19))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB19) | (~v114(constB19)))),
% 27.22/17.80 inference(transitivity,[status(thm)],[2727, 2725])).
% 27.22/17.80 tff(2729,plain,
% 27.22/17.80 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB19)) | v113(constB19))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2730,plain,
% 27.22/17.80 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB19) | (~v114(constB19))),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2729, 2728])).
% 27.22/17.80 tff(2731,plain,
% 27.22/17.80 (v113(constB19)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2730, 314, 2724])).
% 27.22/17.80 tff(2732,assumption,(v26(constB19)), introduced(assumption)).
% 27.22/17.80 tff(2733,plain,
% 27.22/17.80 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB19))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2734,plain,
% 27.22/17.80 ($false),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2733, 95, 2732])).
% 27.22/17.80 tff(2735,plain,(~v26(constB19)), inference(lemma,lemma(discharge,[]))).
% 27.22/17.80 tff(2736,plain,
% 27.22/17.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | (~v113(constB19)) | v112(constB19))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2737,plain,
% 27.22/17.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2738,plain,
% 27.22/17.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | (~v113(constB19)) | v112(constB19)),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2737, 2736])).
% 27.22/17.80 tff(2739,plain,
% 27.22/17.80 ((~v113(constB19)) | v112(constB19)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2738, 328, 2735])).
% 27.22/17.80 tff(2740,plain,
% 27.22/17.80 (v112(constB19)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2739, 2731])).
% 27.22/17.80 tff(2741,plain,
% 27.22/17.80 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB19) | (~v112(constB19)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v112(constB19)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2742,plain,
% 27.22/17.80 (((~v112(constB19)) | v108(constB19)) <=> (v108(constB19) | (~v112(constB19)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2743,plain,
% 27.22/17.80 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB19)) | v108(constB19))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB19) | (~v112(constB19))))),
% 27.22/17.80 inference(monotonicity,[status(thm)],[2742])).
% 27.22/17.80 tff(2744,plain,
% 27.22/17.80 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB19)) | v108(constB19))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v112(constB19)))),
% 27.22/17.80 inference(transitivity,[status(thm)],[2743, 2741])).
% 27.22/17.80 tff(2745,plain,
% 27.22/17.80 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB19)) | v108(constB19))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2746,plain,
% 27.22/17.80 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v112(constB19))),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2745, 2744])).
% 27.22/17.80 tff(2747,plain,
% 27.22/17.80 (v108(constB19)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2746, 340, 2740])).
% 27.22/17.80 tff(2748,plain,
% 27.22/17.80 (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2749,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_19_1')).
% 27.22/17.80 tff(2750,plain,
% 27.22/17.80 (nextState(constB19, constB20)),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2749, 2748])).
% 27.22/17.80 tff(2751,plain,
% 27.22/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2752,plain,
% 27.22/17.80 (((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20)) <=> ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2753,plain,
% 27.22/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19))))),
% 27.22/17.80 inference(monotonicity,[status(thm)],[2752])).
% 27.22/17.80 tff(2754,plain,
% 27.22/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 27.22/17.80 inference(transitivity,[status(thm)],[2753, 2751])).
% 27.22/17.80 tff(2755,plain,
% 27.22/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2756,plain,
% 27.22/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19))),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2755, 2754])).
% 27.22/17.80 tff(2757,plain,
% 27.22/17.80 (v110(constB20) | (~v108(constB19))),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2756, 360, 2750])).
% 27.22/17.80 tff(2758,plain,
% 27.22/17.80 (v110(constB20)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2757, 2747])).
% 27.22/17.80 tff(2759,plain,
% 27.22/17.80 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2760,plain,
% 27.22/17.80 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2761,plain,
% 27.22/17.80 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20))),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2760, 2759])).
% 27.22/17.80 tff(2762,plain,
% 27.22/17.80 (~v104(constB20)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2761, 378, 2750, 2613])).
% 27.22/17.80 tff(2763,plain,
% 27.22/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2764,plain,
% 27.22/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2765,plain,
% 27.22/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB19, constB20)) | v102(constB20) | v104(constB20)),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2764, 2763])).
% 27.22/17.80 tff(2766,plain,
% 27.22/17.80 (v102(constB20) | v104(constB20)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2765, 392, 2750])).
% 27.22/17.80 tff(2767,plain,
% 27.22/17.80 (v102(constB20)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2766, 2762])).
% 27.22/17.80 tff(2768,plain,
% 27.22/17.80 (v1(constB20) <=> v1(constB20)),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2769,axiom,(v1(constB20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_20_1')).
% 27.22/17.80 tff(2770,plain,
% 27.22/17.80 (v1(constB20)),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2769, 2768])).
% 27.22/17.80 tff(2771,plain,
% 27.22/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2772,plain,
% 27.22/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2773,plain,
% 27.22/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20))),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2772, 2771])).
% 27.22/17.80 tff(2774,plain,
% 27.22/17.80 (v101(constB20) | (~v102(constB20))),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2773, 410, 2750, 2770])).
% 27.22/17.80 tff(2775,plain,
% 27.22/17.80 (v101(constB20)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2774, 2767])).
% 27.22/17.80 tff(2776,plain,
% 27.22/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2777,plain,
% 27.22/17.80 (((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20)) <=> ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2778,plain,
% 27.22/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20))))),
% 27.22/17.80 inference(monotonicity,[status(thm)],[2777])).
% 27.22/17.80 tff(2779,plain,
% 27.22/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 27.22/17.80 inference(transitivity,[status(thm)],[2778, 2776])).
% 27.22/17.80 tff(2780,plain,
% 27.22/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2781,plain,
% 27.22/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20))),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2780, 2779])).
% 27.22/17.80 tff(2782,plain,
% 27.22/17.80 (v100(constB20) | (~v101(constB20)) | (~v110(constB20))),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2781, 425, 2750])).
% 27.22/17.80 tff(2783,plain,
% 27.22/17.80 (v100(constB20) | (~v110(constB20))),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2782, 2775])).
% 27.22/17.80 tff(2784,plain,
% 27.22/17.80 (v100(constB20)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2783, 2758])).
% 27.22/17.80 tff(2785,plain,
% 27.22/17.80 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB19)) | v130(constB19, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB19)) | v130(constB19, 2))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2786,plain,
% 27.22/17.80 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB19)) | v130(constB19, 2))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2787,plain,
% 27.22/17.80 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB19)) | v130(constB19, 2)),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2786, 2785])).
% 27.22/17.80 tff(2788,plain,
% 27.22/17.80 (v130(constB19, 2)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2787, 1484, 2703])).
% 27.22/17.80 tff(2789,plain,
% 27.22/17.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB19) | (~v130(constB19, 2)) | v127(constB19, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB19) | (~v130(constB19, 2)) | v127(constB19, 2))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2790,plain,
% 27.22/17.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB19) | (~v130(constB19, 2)) | v127(constB19, 2))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2791,plain,
% 27.22/17.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB19) | (~v130(constB19, 2)) | v127(constB19, 2)),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2790, 2789])).
% 27.22/17.80 tff(2792,plain,
% 27.22/17.80 ((~v130(constB19, 2)) | v127(constB19, 2)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2791, 1498, 2735])).
% 27.22/17.80 tff(2793,plain,
% 27.22/17.80 (v127(constB19, 2)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2792, 2788])).
% 27.22/17.80 tff(2794,plain,
% 27.22/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB19, constB20)) | (~v127(constB19, 2)) | v129(constB20, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB19, constB20)) | (~v127(constB19, 2)) | v129(constB20, 2))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2795,plain,
% 27.22/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB19, constB20)) | (~v127(constB19, 2)) | v129(constB20, 2))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2796,plain,
% 27.22/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB19, constB20)) | (~v127(constB19, 2)) | v129(constB20, 2)),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2795, 2794])).
% 27.22/17.80 tff(2797,plain,
% 27.22/17.80 ((~v127(constB19, 2)) | v129(constB20, 2)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2796, 1513, 2750])).
% 27.22/17.80 tff(2798,plain,
% 27.22/17.80 (v129(constB20, 2)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2797, 2793])).
% 27.22/17.80 tff(2799,plain,
% 27.22/17.80 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB20, 2) | (~v129(constB20, 2)) | (~v100(constB20)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB20, 2) | (~v129(constB20, 2)) | (~v100(constB20)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2800,plain,
% 27.22/17.80 ((v90(constB20, 2) | (~v100(constB20)) | (~v129(constB20, 2))) <=> (v90(constB20, 2) | (~v129(constB20, 2)) | (~v100(constB20)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2801,plain,
% 27.22/17.80 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB20, 2) | (~v100(constB20)) | (~v129(constB20, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB20, 2) | (~v129(constB20, 2)) | (~v100(constB20))))),
% 27.22/17.80 inference(monotonicity,[status(thm)],[2800])).
% 27.22/17.80 tff(2802,plain,
% 27.22/17.80 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB20, 2) | (~v100(constB20)) | (~v129(constB20, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB20, 2) | (~v129(constB20, 2)) | (~v100(constB20)))),
% 27.22/17.80 inference(transitivity,[status(thm)],[2801, 2799])).
% 27.22/17.80 tff(2803,plain,
% 27.22/17.80 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB20, 2) | (~v100(constB20)) | (~v129(constB20, 2)))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2804,plain,
% 27.22/17.80 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB20, 2) | (~v129(constB20, 2)) | (~v100(constB20))),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2803, 2802])).
% 27.22/17.80 tff(2805,plain,
% 27.22/17.80 (v90(constB20, 2) | (~v100(constB20))),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2804, 1528, 2798])).
% 27.22/17.80 tff(2806,plain,
% 27.22/17.80 (v90(constB20, 2)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2805, 2784])).
% 27.22/17.80 tff(2807,plain,
% 27.22/17.80 ((~v1(constB21)) <=> (~v1(constB21))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2808,axiom,(~v1(constB21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_21_1_1')).
% 27.22/17.80 tff(2809,plain,
% 27.22/17.80 (~v1(constB21)),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2808, 2807])).
% 27.22/17.80 tff(2810,plain,
% 27.22/17.80 (nextState(constB20, constB21) <=> nextState(constB20, constB21)),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2811,axiom,(nextState(constB20, constB21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_20_1')).
% 27.22/17.80 tff(2812,plain,
% 27.22/17.80 (nextState(constB20, constB21)),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2811, 2810])).
% 27.22/17.80 tff(2813,plain,
% 27.22/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2814,plain,
% 27.22/17.80 (((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21)) <=> (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2815,plain,
% 27.22/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21))))),
% 27.22/17.80 inference(monotonicity,[status(thm)],[2814])).
% 27.22/17.80 tff(2816,plain,
% 27.22/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 27.22/17.80 inference(transitivity,[status(thm)],[2815, 2813])).
% 27.22/17.80 tff(2817,plain,
% 27.22/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2818,plain,
% 27.22/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21))),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2817, 2816])).
% 27.22/17.80 tff(2819,plain,
% 27.22/17.80 (~v101(constB21)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2818, 138, 2812, 2809])).
% 27.22/17.80 tff(2820,plain,
% 27.22/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2821,plain,
% 27.22/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2822,plain,
% 27.22/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21))),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2821, 2820])).
% 27.22/17.80 tff(2823,plain,
% 27.22/17.80 (v101(constB21) | (~v100(constB21))),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2822, 155, 2812])).
% 27.22/17.80 tff(2824,plain,
% 27.22/17.80 (~v100(constB21)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2823, 2819])).
% 27.22/17.80 tff(2825,plain,
% 27.22/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB20, 2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB20, 2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, 2))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2826,plain,
% 27.22/17.80 (((~nextState(constB20, constB21)) | (~v90(constB20, 2)) | v100(constB21) | v90(constB21, 2)) <=> ((~v90(constB20, 2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, 2))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2827,plain,
% 27.22/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB20, constB21)) | (~v90(constB20, 2)) | v100(constB21) | v90(constB21, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB20, 2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, 2)))),
% 27.22/17.80 inference(monotonicity,[status(thm)],[2826])).
% 27.22/17.80 tff(2828,plain,
% 27.22/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB20, constB21)) | (~v90(constB20, 2)) | v100(constB21) | v90(constB21, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB20, 2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, 2))),
% 27.22/17.80 inference(transitivity,[status(thm)],[2827, 2825])).
% 27.22/17.80 tff(2829,plain,
% 27.22/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB20, constB21)) | (~v90(constB20, 2)) | v100(constB21) | v90(constB21, 2))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2830,plain,
% 27.22/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB20, 2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, 2)),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2829, 2828])).
% 27.22/17.80 tff(2831,plain,
% 27.22/17.80 ((~v90(constB20, 2)) | v100(constB21) | v90(constB21, 2)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2830, 1546, 2812])).
% 27.22/17.80 tff(2832,plain,
% 27.22/17.80 ((~v90(constB20, 2)) | v90(constB21, 2)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2831, 2824])).
% 27.22/17.80 tff(2833,plain,
% 27.22/17.80 (v90(constB21, 2)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2832, 2806])).
% 27.22/17.80 tff(2834,plain,
% 27.22/17.80 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB19)) | (~v130(constB19, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB19)) | (~v130(constB19, 1)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2835,plain,
% 27.22/17.80 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB19)) | (~v130(constB19, 1)))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2836,plain,
% 27.22/17.80 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB19)) | (~v130(constB19, 1))),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2835, 2834])).
% 27.22/17.80 tff(2837,plain,
% 27.22/17.80 (~v130(constB19, 1)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2836, 1424, 2703])).
% 27.22/17.80 tff(2838,plain,
% 27.22/17.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB19, 1)) | v26(constB19) | v130(constB19, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB19, 1)) | v26(constB19) | v130(constB19, 1))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2839,plain,
% 27.22/17.80 ((v26(constB19) | v130(constB19, 1) | (~v127(constB19, 1))) <=> ((~v127(constB19, 1)) | v26(constB19) | v130(constB19, 1))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2840,plain,
% 27.22/17.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB19) | v130(constB19, 1) | (~v127(constB19, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB19, 1)) | v26(constB19) | v130(constB19, 1)))),
% 27.22/17.80 inference(monotonicity,[status(thm)],[2839])).
% 27.22/17.80 tff(2841,plain,
% 27.22/17.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB19) | v130(constB19, 1) | (~v127(constB19, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB19, 1)) | v26(constB19) | v130(constB19, 1))),
% 27.22/17.80 inference(transitivity,[status(thm)],[2840, 2838])).
% 27.22/17.80 tff(2842,plain,
% 27.22/17.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB19) | v130(constB19, 1) | (~v127(constB19, 1)))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2843,plain,
% 27.22/17.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB19, 1)) | v26(constB19) | v130(constB19, 1)),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2842, 2841])).
% 27.22/17.80 tff(2844,plain,
% 27.22/17.80 ((~v127(constB19, 1)) | v130(constB19, 1)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2843, 541, 2735])).
% 27.22/17.80 tff(2845,plain,
% 27.22/17.80 (~v127(constB19, 1)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2844, 2837])).
% 27.22/17.80 tff(2846,plain,
% 27.22/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB19, constB20)) | v127(constB19, 1) | (~v129(constB20, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB19, constB20)) | v127(constB19, 1) | (~v129(constB20, 1)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2847,plain,
% 27.22/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB19, constB20)) | v127(constB19, 1) | (~v129(constB20, 1)))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2848,plain,
% 27.22/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB19, constB20)) | v127(constB19, 1) | (~v129(constB20, 1))),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2847, 2846])).
% 27.22/17.80 tff(2849,plain,
% 27.22/17.80 (v127(constB19, 1) | (~v129(constB20, 1))),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2848, 559, 2750])).
% 27.22/17.80 tff(2850,plain,
% 27.22/17.80 (~v129(constB20, 1)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2849, 2845])).
% 27.22/17.80 tff(2851,plain,
% 27.22/17.80 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB20, 1)) | v129(constB20, 1) | (~v100(constB20)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB20, 1)) | v129(constB20, 1) | (~v100(constB20)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2852,plain,
% 27.22/17.80 (((~v90(constB20, 1)) | (~v100(constB20)) | v129(constB20, 1)) <=> ((~v90(constB20, 1)) | v129(constB20, 1) | (~v100(constB20)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2853,plain,
% 27.22/17.80 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB20, 1)) | (~v100(constB20)) | v129(constB20, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB20, 1)) | v129(constB20, 1) | (~v100(constB20))))),
% 27.22/17.80 inference(monotonicity,[status(thm)],[2852])).
% 27.22/17.80 tff(2854,plain,
% 27.22/17.80 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB20, 1)) | (~v100(constB20)) | v129(constB20, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB20, 1)) | v129(constB20, 1) | (~v100(constB20)))),
% 27.22/17.80 inference(transitivity,[status(thm)],[2853, 2851])).
% 27.22/17.80 tff(2855,plain,
% 27.22/17.80 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB20, 1)) | (~v100(constB20)) | v129(constB20, 1))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2856,plain,
% 27.22/17.80 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB20, 1)) | v129(constB20, 1) | (~v100(constB20))),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2855, 2854])).
% 27.22/17.80 tff(2857,plain,
% 27.22/17.80 ((~v90(constB20, 1)) | (~v100(constB20))),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2856, 574, 2850])).
% 27.22/17.80 tff(2858,plain,
% 27.22/17.80 (~v90(constB20, 1)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2857, 2784])).
% 27.22/17.80 tff(2859,plain,
% 27.22/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB20, 1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB20, 1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 1)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2860,plain,
% 27.22/17.80 (((~nextState(constB20, constB21)) | v90(constB20, 1) | v100(constB21) | (~v90(constB21, 1))) <=> (v90(constB20, 1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 1)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2861,plain,
% 27.22/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB20, constB21)) | v90(constB20, 1) | v100(constB21) | (~v90(constB21, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB20, 1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 1))))),
% 27.22/17.80 inference(monotonicity,[status(thm)],[2860])).
% 27.22/17.80 tff(2862,plain,
% 27.22/17.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB20, constB21)) | v90(constB20, 1) | v100(constB21) | (~v90(constB21, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB20, 1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 1)))),
% 27.22/17.80 inference(transitivity,[status(thm)],[2861, 2859])).
% 27.22/17.80 tff(2863,plain,
% 27.22/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB20, constB21)) | v90(constB20, 1) | v100(constB21) | (~v90(constB21, 1)))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2864,plain,
% 27.22/17.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB20, 1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 1))),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2863, 2862])).
% 27.22/17.80 tff(2865,plain,
% 27.22/17.80 (v90(constB20, 1) | v100(constB21) | (~v90(constB21, 1))),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2864, 191, 2812])).
% 27.22/17.80 tff(2866,plain,
% 27.22/17.80 (v90(constB20, 1) | (~v90(constB21, 1))),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2865, 2824])).
% 27.22/17.80 tff(2867,plain,
% 27.22/17.80 (~v90(constB21, 1)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2866, 2858])).
% 27.22/17.80 tff(2868,plain,
% 27.22/17.80 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB19)) | (~v130(constB19, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB19)) | (~v130(constB19, 0)))),
% 27.22/17.80 inference(rewrite,[status(thm)],[])).
% 27.22/17.80 tff(2869,plain,
% 27.22/17.80 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB19)) | (~v130(constB19, 0)))),
% 27.22/17.80 inference(quant_inst,[status(thm)],[])).
% 27.22/17.80 tff(2870,plain,
% 27.22/17.80 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB19)) | (~v130(constB19, 0))),
% 27.22/17.80 inference(modus_ponens,[status(thm)],[2869, 2868])).
% 27.22/17.80 tff(2871,plain,
% 27.22/17.80 (~v130(constB19, 0)),
% 27.22/17.80 inference(unit_resolution,[status(thm)],[2870, 1351, 2703])).
% 27.22/17.81 tff(2872,assumption,(v127(constB19, 0)), introduced(assumption)).
% 27.22/17.81 tff(2873,assumption,(~v130(constB19, 0)), introduced(assumption)).
% 27.22/17.81 tff(2874,plain,
% 27.22/17.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB19, 0)) | v26(constB19) | v130(constB19, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB19, 0)) | v26(constB19) | v130(constB19, 0))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2875,plain,
% 27.22/17.81 ((v26(constB19) | v130(constB19, 0) | (~v127(constB19, 0))) <=> ((~v127(constB19, 0)) | v26(constB19) | v130(constB19, 0))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2876,plain,
% 27.22/17.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB19) | v130(constB19, 0) | (~v127(constB19, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB19, 0)) | v26(constB19) | v130(constB19, 0)))),
% 27.22/17.81 inference(monotonicity,[status(thm)],[2875])).
% 27.22/17.81 tff(2877,plain,
% 27.22/17.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB19) | v130(constB19, 0) | (~v127(constB19, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB19, 0)) | v26(constB19) | v130(constB19, 0))),
% 27.22/17.81 inference(transitivity,[status(thm)],[2876, 2874])).
% 27.22/17.81 tff(2878,plain,
% 27.22/17.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB19) | v130(constB19, 0) | (~v127(constB19, 0)))),
% 27.22/17.81 inference(quant_inst,[status(thm)],[])).
% 27.22/17.81 tff(2879,plain,
% 27.22/17.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB19, 0)) | v26(constB19) | v130(constB19, 0)),
% 27.22/17.81 inference(modus_ponens,[status(thm)],[2878, 2877])).
% 27.22/17.81 tff(2880,plain,
% 27.22/17.81 ((~v127(constB19, 0)) | v26(constB19)),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2879, 933, 2873])).
% 27.22/17.81 tff(2881,plain,
% 27.22/17.81 (v26(constB19)),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2880, 2872])).
% 27.22/17.81 tff(2882,plain,
% 27.22/17.81 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB19)) | (~v127(constB19, 0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB19)) | (~v127(constB19, 0)))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2883,plain,
% 27.22/17.81 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB19)) | (~v127(constB19, 0)))),
% 27.22/17.81 inference(quant_inst,[status(thm)],[])).
% 27.22/17.81 tff(2884,plain,
% 27.22/17.81 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB19)) | (~v127(constB19, 0))),
% 27.22/17.81 inference(modus_ponens,[status(thm)],[2883, 2882])).
% 27.22/17.81 tff(2885,plain,
% 27.22/17.81 ($false),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2884, 1370, 2872, 2881])).
% 27.22/17.81 tff(2886,plain,((~v127(constB19, 0)) | v130(constB19, 0)), inference(lemma,lemma(discharge,[]))).
% 27.22/17.81 tff(2887,plain,
% 27.22/17.81 (~v127(constB19, 0)),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2886, 2871])).
% 27.22/17.81 tff(2888,plain,
% 27.22/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB19, constB20)) | v127(constB19, 0) | (~v129(constB20, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB19, constB20)) | v127(constB19, 0) | (~v129(constB20, 0)))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2889,plain,
% 27.22/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB19, constB20)) | v127(constB19, 0) | (~v129(constB20, 0)))),
% 27.22/17.81 inference(quant_inst,[status(thm)],[])).
% 27.22/17.81 tff(2890,plain,
% 27.22/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB19, constB20)) | v127(constB19, 0) | (~v129(constB20, 0))),
% 27.22/17.81 inference(modus_ponens,[status(thm)],[2889, 2888])).
% 27.22/17.81 tff(2891,plain,
% 27.22/17.81 (v127(constB19, 0) | (~v129(constB20, 0))),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2890, 951, 2750])).
% 27.22/17.81 tff(2892,plain,
% 27.22/17.81 (~v129(constB20, 0)),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2891, 2887])).
% 27.22/17.81 tff(2893,plain,
% 27.22/17.81 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB20, 0)) | v129(constB20, 0) | (~v100(constB20)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB20, 0)) | v129(constB20, 0) | (~v100(constB20)))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2894,plain,
% 27.22/17.81 (((~v90(constB20, 0)) | (~v100(constB20)) | v129(constB20, 0)) <=> ((~v90(constB20, 0)) | v129(constB20, 0) | (~v100(constB20)))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2895,plain,
% 27.22/17.81 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB20, 0)) | (~v100(constB20)) | v129(constB20, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB20, 0)) | v129(constB20, 0) | (~v100(constB20))))),
% 27.22/17.81 inference(monotonicity,[status(thm)],[2894])).
% 27.22/17.81 tff(2896,plain,
% 27.22/17.81 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB20, 0)) | (~v100(constB20)) | v129(constB20, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB20, 0)) | v129(constB20, 0) | (~v100(constB20)))),
% 27.22/17.81 inference(transitivity,[status(thm)],[2895, 2893])).
% 27.22/17.81 tff(2897,plain,
% 27.22/17.81 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB20, 0)) | (~v100(constB20)) | v129(constB20, 0))),
% 27.22/17.81 inference(quant_inst,[status(thm)],[])).
% 27.22/17.81 tff(2898,plain,
% 27.22/17.81 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB20, 0)) | v129(constB20, 0) | (~v100(constB20))),
% 27.22/17.81 inference(modus_ponens,[status(thm)],[2897, 2896])).
% 27.22/17.81 tff(2899,plain,
% 27.22/17.81 ((~v90(constB20, 0)) | (~v100(constB20))),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2898, 966, 2892])).
% 27.22/17.81 tff(2900,plain,
% 27.22/17.81 (~v90(constB20, 0)),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2899, 2784])).
% 27.22/17.81 tff(2901,plain,
% 27.22/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB20, 0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB20, 0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 0)))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2902,plain,
% 27.22/17.81 (((~nextState(constB20, constB21)) | v90(constB20, 0) | v100(constB21) | (~v90(constB21, 0))) <=> (v90(constB20, 0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 0)))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2903,plain,
% 27.22/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB20, constB21)) | v90(constB20, 0) | v100(constB21) | (~v90(constB21, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB20, 0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 0))))),
% 27.22/17.81 inference(monotonicity,[status(thm)],[2902])).
% 27.22/17.81 tff(2904,plain,
% 27.22/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB20, constB21)) | v90(constB20, 0) | v100(constB21) | (~v90(constB21, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB20, 0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 0)))),
% 27.22/17.81 inference(transitivity,[status(thm)],[2903, 2901])).
% 27.22/17.81 tff(2905,plain,
% 27.22/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB20, constB21)) | v90(constB20, 0) | v100(constB21) | (~v90(constB21, 0)))),
% 27.22/17.81 inference(quant_inst,[status(thm)],[])).
% 27.22/17.81 tff(2906,plain,
% 27.22/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB20, 0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 0))),
% 27.22/17.81 inference(modus_ponens,[status(thm)],[2905, 2904])).
% 27.22/17.81 tff(2907,plain,
% 27.22/17.81 (v90(constB20, 0) | v100(constB21) | (~v90(constB21, 0))),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2906, 212, 2812])).
% 27.22/17.81 tff(2908,plain,
% 27.22/17.81 (v90(constB20, 0) | (~v90(constB21, 0))),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2907, 2824])).
% 27.22/17.81 tff(2909,plain,
% 27.22/17.81 (~v90(constB21, 0)),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2908, 2900])).
% 27.22/17.81 tff(2910,plain,
% 27.22/17.81 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB21, 0) | v90(constB21, 1) | (~v90(constB21, 2)) | v123(constB21))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB21, 0) | v90(constB21, 1) | (~v90(constB21, 2)) | v123(constB21))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2911,plain,
% 27.22/17.81 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB21, 0) | v90(constB21, 1) | (~v90(constB21, 2)) | v123(constB21))),
% 27.22/17.81 inference(quant_inst,[status(thm)],[])).
% 27.22/17.81 tff(2912,plain,
% 27.22/17.81 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB21, 0) | v90(constB21, 1) | (~v90(constB21, 2)) | v123(constB21)),
% 27.22/17.81 inference(modus_ponens,[status(thm)],[2911, 2910])).
% 27.22/17.81 tff(2913,plain,
% 27.22/17.81 (v123(constB21)),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2912, 1565, 2909, 2867, 2833])).
% 27.22/17.81 tff(2914,plain,
% 27.22/17.81 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB21) | (~v123(constB21)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB21) | (~v123(constB21)))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2915,plain,
% 27.22/17.81 (((~v123(constB21)) | v115(constB21)) <=> (v115(constB21) | (~v123(constB21)))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2916,plain,
% 27.22/17.81 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB21)) | v115(constB21))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB21) | (~v123(constB21))))),
% 27.22/17.81 inference(monotonicity,[status(thm)],[2915])).
% 27.22/17.81 tff(2917,plain,
% 27.22/17.81 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB21)) | v115(constB21))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB21) | (~v123(constB21)))),
% 27.22/17.81 inference(transitivity,[status(thm)],[2916, 2914])).
% 27.22/17.81 tff(2918,plain,
% 27.22/17.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB21)) | v115(constB21))),
% 27.22/17.81 inference(quant_inst,[status(thm)],[])).
% 27.22/17.81 tff(2919,plain,
% 27.22/17.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB21) | (~v123(constB21))),
% 27.22/17.81 inference(modus_ponens,[status(thm)],[2918, 2917])).
% 27.22/17.81 tff(2920,plain,
% 27.22/17.81 (v115(constB21)),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2919, 1579, 2913])).
% 27.22/17.81 tff(2921,plain,
% 27.22/17.81 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB21) | (~v115(constB21)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB21) | (~v115(constB21)))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2922,plain,
% 27.22/17.81 (((~v115(constB21)) | v114(constB21)) <=> (v114(constB21) | (~v115(constB21)))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2923,plain,
% 27.22/17.81 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB21)) | v114(constB21))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB21) | (~v115(constB21))))),
% 27.22/17.81 inference(monotonicity,[status(thm)],[2922])).
% 27.22/17.81 tff(2924,plain,
% 27.22/17.81 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB21)) | v114(constB21))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB21) | (~v115(constB21)))),
% 27.22/17.81 inference(transitivity,[status(thm)],[2923, 2921])).
% 27.22/17.81 tff(2925,plain,
% 27.22/17.81 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB21)) | v114(constB21))),
% 27.22/17.81 inference(quant_inst,[status(thm)],[])).
% 27.22/17.81 tff(2926,plain,
% 27.22/17.81 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB21) | (~v115(constB21))),
% 27.22/17.81 inference(modus_ponens,[status(thm)],[2925, 2924])).
% 27.22/17.81 tff(2927,plain,
% 27.22/17.81 (v114(constB21)),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2926, 300, 2920])).
% 27.22/17.81 tff(2928,plain,
% 27.22/17.81 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB21)) | v113(constB21))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB21)) | v113(constB21))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2929,plain,
% 27.22/17.81 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB21)) | v113(constB21))),
% 27.22/17.81 inference(quant_inst,[status(thm)],[])).
% 27.22/17.81 tff(2930,plain,
% 27.22/17.81 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB21)) | v113(constB21)),
% 27.22/17.81 inference(modus_ponens,[status(thm)],[2929, 2928])).
% 27.22/17.81 tff(2931,plain,
% 27.22/17.81 (v113(constB21)),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2930, 314, 2927])).
% 27.22/17.81 tff(2932,assumption,(v26(constB21)), introduced(assumption)).
% 27.22/17.81 tff(2933,plain,
% 27.22/17.81 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB21))),
% 27.22/17.81 inference(quant_inst,[status(thm)],[])).
% 27.22/17.81 tff(2934,plain,
% 27.22/17.81 ($false),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2933, 95, 2932])).
% 27.22/17.81 tff(2935,plain,(~v26(constB21)), inference(lemma,lemma(discharge,[]))).
% 27.22/17.81 tff(2936,plain,
% 27.22/17.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | (~v113(constB21)) | v112(constB21))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2937,plain,
% 27.22/17.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))),
% 27.22/17.81 inference(quant_inst,[status(thm)],[])).
% 27.22/17.81 tff(2938,plain,
% 27.22/17.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | (~v113(constB21)) | v112(constB21)),
% 27.22/17.81 inference(modus_ponens,[status(thm)],[2937, 2936])).
% 27.22/17.81 tff(2939,plain,
% 27.22/17.81 ((~v113(constB21)) | v112(constB21)),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2938, 328, 2935])).
% 27.22/17.81 tff(2940,plain,
% 27.22/17.81 (v112(constB21)),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2939, 2931])).
% 27.22/17.81 tff(2941,plain,
% 27.22/17.81 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB21) | (~v112(constB21)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v112(constB21)))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2942,plain,
% 27.22/17.81 (((~v112(constB21)) | v108(constB21)) <=> (v108(constB21) | (~v112(constB21)))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2943,plain,
% 27.22/17.81 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB21)) | v108(constB21))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB21) | (~v112(constB21))))),
% 27.22/17.81 inference(monotonicity,[status(thm)],[2942])).
% 27.22/17.81 tff(2944,plain,
% 27.22/17.81 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB21)) | v108(constB21))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v112(constB21)))),
% 27.22/17.81 inference(transitivity,[status(thm)],[2943, 2941])).
% 27.22/17.81 tff(2945,plain,
% 27.22/17.81 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB21)) | v108(constB21))),
% 27.22/17.81 inference(quant_inst,[status(thm)],[])).
% 27.22/17.81 tff(2946,plain,
% 27.22/17.81 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v112(constB21))),
% 27.22/17.81 inference(modus_ponens,[status(thm)],[2945, 2944])).
% 27.22/17.81 tff(2947,plain,
% 27.22/17.81 (v108(constB21)),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2946, 340, 2940])).
% 27.22/17.81 tff(2948,plain,
% 27.22/17.81 (nextState(constB21, constB22) <=> nextState(constB21, constB22)),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2949,axiom,(nextState(constB21, constB22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_21_1')).
% 27.22/17.81 tff(2950,plain,
% 27.22/17.81 (nextState(constB21, constB22)),
% 27.22/17.81 inference(modus_ponens,[status(thm)],[2949, 2948])).
% 27.22/17.81 tff(2951,plain,
% 27.22/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2952,plain,
% 27.22/17.81 (((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22)) <=> ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2953,plain,
% 27.22/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21))))),
% 27.22/17.81 inference(monotonicity,[status(thm)],[2952])).
% 27.22/17.81 tff(2954,plain,
% 27.22/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 27.22/17.81 inference(transitivity,[status(thm)],[2953, 2951])).
% 27.22/17.81 tff(2955,plain,
% 27.22/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))),
% 27.22/17.81 inference(quant_inst,[status(thm)],[])).
% 27.22/17.81 tff(2956,plain,
% 27.22/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21))),
% 27.22/17.81 inference(modus_ponens,[status(thm)],[2955, 2954])).
% 27.22/17.81 tff(2957,plain,
% 27.22/17.81 (v110(constB22) | (~v108(constB21))),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2956, 360, 2950])).
% 27.22/17.81 tff(2958,plain,
% 27.22/17.81 (v110(constB22)),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2957, 2947])).
% 27.22/17.81 tff(2959,plain,
% 27.22/17.81 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2960,plain,
% 27.22/17.81 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))),
% 27.22/17.81 inference(quant_inst,[status(thm)],[])).
% 27.22/17.81 tff(2961,plain,
% 27.22/17.81 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22))),
% 27.22/17.81 inference(modus_ponens,[status(thm)],[2960, 2959])).
% 27.22/17.81 tff(2962,plain,
% 27.22/17.81 (~v104(constB22)),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2961, 378, 2950, 2809])).
% 27.22/17.81 tff(2963,plain,
% 27.22/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2964,plain,
% 27.22/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))),
% 27.22/17.81 inference(quant_inst,[status(thm)],[])).
% 27.22/17.81 tff(2965,plain,
% 27.22/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB21, constB22)) | v102(constB22) | v104(constB22)),
% 27.22/17.81 inference(modus_ponens,[status(thm)],[2964, 2963])).
% 27.22/17.81 tff(2966,plain,
% 27.22/17.81 (v102(constB22) | v104(constB22)),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2965, 392, 2950])).
% 27.22/17.81 tff(2967,plain,
% 27.22/17.81 (v102(constB22)),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2966, 2962])).
% 27.22/17.81 tff(2968,plain,
% 27.22/17.81 (v1(constB22) <=> v1(constB22)),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2969,axiom,(v1(constB22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_22_1')).
% 27.22/17.81 tff(2970,plain,
% 27.22/17.81 (v1(constB22)),
% 27.22/17.81 inference(modus_ponens,[status(thm)],[2969, 2968])).
% 27.22/17.81 tff(2971,plain,
% 27.22/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2972,plain,
% 27.22/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))),
% 27.22/17.81 inference(quant_inst,[status(thm)],[])).
% 27.22/17.81 tff(2973,plain,
% 27.22/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22))),
% 27.22/17.81 inference(modus_ponens,[status(thm)],[2972, 2971])).
% 27.22/17.81 tff(2974,plain,
% 27.22/17.81 (v101(constB22) | (~v102(constB22))),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2973, 410, 2950, 2970])).
% 27.22/17.81 tff(2975,plain,
% 27.22/17.81 (v101(constB22)),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2974, 2967])).
% 27.22/17.81 tff(2976,plain,
% 27.22/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2977,plain,
% 27.22/17.81 (((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22)) <=> ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2978,plain,
% 27.22/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22))))),
% 27.22/17.81 inference(monotonicity,[status(thm)],[2977])).
% 27.22/17.81 tff(2979,plain,
% 27.22/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 27.22/17.81 inference(transitivity,[status(thm)],[2978, 2976])).
% 27.22/17.81 tff(2980,plain,
% 27.22/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))),
% 27.22/17.81 inference(quant_inst,[status(thm)],[])).
% 27.22/17.81 tff(2981,plain,
% 27.22/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22))),
% 27.22/17.81 inference(modus_ponens,[status(thm)],[2980, 2979])).
% 27.22/17.81 tff(2982,plain,
% 27.22/17.81 (v100(constB22) | (~v101(constB22)) | (~v110(constB22))),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2981, 425, 2950])).
% 27.22/17.81 tff(2983,plain,
% 27.22/17.81 (v100(constB22) | (~v110(constB22))),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2982, 2975])).
% 27.22/17.81 tff(2984,plain,
% 27.22/17.81 (v100(constB22)),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2983, 2958])).
% 27.22/17.81 tff(2985,plain,
% 27.22/17.81 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB21)) | v130(constB21, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB21)) | v130(constB21, 2))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2986,plain,
% 27.22/17.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB21)) | v130(constB21, 2))),
% 27.22/17.81 inference(quant_inst,[status(thm)],[])).
% 27.22/17.81 tff(2987,plain,
% 27.22/17.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB21)) | v130(constB21, 2)),
% 27.22/17.81 inference(modus_ponens,[status(thm)],[2986, 2985])).
% 27.22/17.81 tff(2988,plain,
% 27.22/17.81 (v130(constB21, 2)),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2987, 1656, 2913])).
% 27.22/17.81 tff(2989,plain,
% 27.22/17.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB21) | (~v130(constB21, 2)) | v127(constB21, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB21) | (~v130(constB21, 2)) | v127(constB21, 2))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2990,plain,
% 27.22/17.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB21) | (~v130(constB21, 2)) | v127(constB21, 2))),
% 27.22/17.81 inference(quant_inst,[status(thm)],[])).
% 27.22/17.81 tff(2991,plain,
% 27.22/17.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB21) | (~v130(constB21, 2)) | v127(constB21, 2)),
% 27.22/17.81 inference(modus_ponens,[status(thm)],[2990, 2989])).
% 27.22/17.81 tff(2992,plain,
% 27.22/17.81 ((~v130(constB21, 2)) | v127(constB21, 2)),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2991, 1498, 2935])).
% 27.22/17.81 tff(2993,plain,
% 27.22/17.81 (v127(constB21, 2)),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2992, 2988])).
% 27.22/17.81 tff(2994,plain,
% 27.22/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB21, constB22)) | (~v127(constB21, 2)) | v129(constB22, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB21, constB22)) | (~v127(constB21, 2)) | v129(constB22, 2))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(2995,plain,
% 27.22/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB21, constB22)) | (~v127(constB21, 2)) | v129(constB22, 2))),
% 27.22/17.81 inference(quant_inst,[status(thm)],[])).
% 27.22/17.81 tff(2996,plain,
% 27.22/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB21, constB22)) | (~v127(constB21, 2)) | v129(constB22, 2)),
% 27.22/17.81 inference(modus_ponens,[status(thm)],[2995, 2994])).
% 27.22/17.81 tff(2997,plain,
% 27.22/17.81 ((~v127(constB21, 2)) | v129(constB22, 2)),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2996, 1513, 2950])).
% 27.22/17.81 tff(2998,plain,
% 27.22/17.81 (v129(constB22, 2)),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[2997, 2993])).
% 27.22/17.81 tff(2999,plain,
% 27.22/17.81 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB22, 2) | (~v129(constB22, 2)) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB22, 2) | (~v129(constB22, 2)) | (~v100(constB22)))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(3000,plain,
% 27.22/17.81 ((v90(constB22, 2) | (~v100(constB22)) | (~v129(constB22, 2))) <=> (v90(constB22, 2) | (~v129(constB22, 2)) | (~v100(constB22)))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(3001,plain,
% 27.22/17.81 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB22, 2) | (~v100(constB22)) | (~v129(constB22, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB22, 2) | (~v129(constB22, 2)) | (~v100(constB22))))),
% 27.22/17.81 inference(monotonicity,[status(thm)],[3000])).
% 27.22/17.81 tff(3002,plain,
% 27.22/17.81 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB22, 2) | (~v100(constB22)) | (~v129(constB22, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB22, 2) | (~v129(constB22, 2)) | (~v100(constB22)))),
% 27.22/17.81 inference(transitivity,[status(thm)],[3001, 2999])).
% 27.22/17.81 tff(3003,plain,
% 27.22/17.81 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB22, 2) | (~v100(constB22)) | (~v129(constB22, 2)))),
% 27.22/17.81 inference(quant_inst,[status(thm)],[])).
% 27.22/17.81 tff(3004,plain,
% 27.22/17.81 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB22, 2) | (~v129(constB22, 2)) | (~v100(constB22))),
% 27.22/17.81 inference(modus_ponens,[status(thm)],[3003, 3002])).
% 27.22/17.81 tff(3005,plain,
% 27.22/17.81 (v90(constB22, 2) | (~v100(constB22))),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[3004, 1528, 2998])).
% 27.22/17.81 tff(3006,plain,
% 27.22/17.81 (v90(constB22, 2)),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[3005, 2984])).
% 27.22/17.81 tff(3007,plain,
% 27.22/17.81 ((~v1(constB23)) <=> (~v1(constB23))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(3008,axiom,(~v1(constB23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_23_1_1')).
% 27.22/17.81 tff(3009,plain,
% 27.22/17.81 (~v1(constB23)),
% 27.22/17.81 inference(modus_ponens,[status(thm)],[3008, 3007])).
% 27.22/17.81 tff(3010,plain,
% 27.22/17.81 (nextState(constB22, constB23) <=> nextState(constB22, constB23)),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(3011,axiom,(nextState(constB22, constB23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_22_1')).
% 27.22/17.81 tff(3012,plain,
% 27.22/17.81 (nextState(constB22, constB23)),
% 27.22/17.81 inference(modus_ponens,[status(thm)],[3011, 3010])).
% 27.22/17.81 tff(3013,plain,
% 27.22/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(3014,plain,
% 27.22/17.81 (((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23)) <=> (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(3015,plain,
% 27.22/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23))))),
% 27.22/17.81 inference(monotonicity,[status(thm)],[3014])).
% 27.22/17.81 tff(3016,plain,
% 27.22/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 27.22/17.81 inference(transitivity,[status(thm)],[3015, 3013])).
% 27.22/17.81 tff(3017,plain,
% 27.22/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))),
% 27.22/17.81 inference(quant_inst,[status(thm)],[])).
% 27.22/17.81 tff(3018,plain,
% 27.22/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23))),
% 27.22/17.81 inference(modus_ponens,[status(thm)],[3017, 3016])).
% 27.22/17.81 tff(3019,plain,
% 27.22/17.81 (~v101(constB23)),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[3018, 138, 3012, 3009])).
% 27.22/17.81 tff(3020,plain,
% 27.22/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(3021,plain,
% 27.22/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))),
% 27.22/17.81 inference(quant_inst,[status(thm)],[])).
% 27.22/17.81 tff(3022,plain,
% 27.22/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23))),
% 27.22/17.81 inference(modus_ponens,[status(thm)],[3021, 3020])).
% 27.22/17.81 tff(3023,plain,
% 27.22/17.81 (v101(constB23) | (~v100(constB23))),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[3022, 155, 3012])).
% 27.22/17.81 tff(3024,plain,
% 27.22/17.81 (~v100(constB23)),
% 27.22/17.81 inference(unit_resolution,[status(thm)],[3023, 3019])).
% 27.22/17.81 tff(3025,plain,
% 27.22/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB22, 2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB22, 2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 2))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(3026,plain,
% 27.22/17.81 (((~nextState(constB22, constB23)) | (~v90(constB22, 2)) | v100(constB23) | v90(constB23, 2)) <=> ((~v90(constB22, 2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 2))),
% 27.22/17.81 inference(rewrite,[status(thm)],[])).
% 27.22/17.81 tff(3027,plain,
% 27.22/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 2)) | v100(constB23) | v90(constB23, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB22, 2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 2)))),
% 27.22/17.81 inference(monotonicity,[status(thm)],[3026])).
% 27.22/17.81 tff(3028,plain,
% 27.22/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 2)) | v100(constB23) | v90(constB23, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB22, 2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 2))),
% 27.30/17.81 inference(transitivity,[status(thm)],[3027, 3025])).
% 27.30/17.81 tff(3029,plain,
% 27.30/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 2)) | v100(constB23) | v90(constB23, 2))),
% 27.30/17.81 inference(quant_inst,[status(thm)],[])).
% 27.30/17.81 tff(3030,plain,
% 27.30/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB22, 2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 2)),
% 27.30/17.81 inference(modus_ponens,[status(thm)],[3029, 3028])).
% 27.30/17.81 tff(3031,plain,
% 27.30/17.81 ((~v90(constB22, 2)) | v100(constB23) | v90(constB23, 2)),
% 27.30/17.81 inference(unit_resolution,[status(thm)],[3030, 1546, 3012])).
% 27.30/17.81 tff(3032,plain,
% 27.30/17.81 ((~v90(constB22, 2)) | v90(constB23, 2)),
% 27.30/17.81 inference(unit_resolution,[status(thm)],[3031, 3024])).
% 27.30/17.81 tff(3033,plain,
% 27.30/17.81 (v90(constB23, 2)),
% 27.30/17.81 inference(unit_resolution,[status(thm)],[3032, 3006])).
% 27.30/17.81 tff(3034,plain,
% 27.30/17.81 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB21)) | (~v130(constB21, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB21)) | (~v130(constB21, 1)))),
% 27.30/17.81 inference(rewrite,[status(thm)],[])).
% 27.30/17.81 tff(3035,plain,
% 27.30/17.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB21)) | (~v130(constB21, 1)))),
% 27.30/17.81 inference(quant_inst,[status(thm)],[])).
% 27.30/17.81 tff(3036,plain,
% 27.30/17.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB21)) | (~v130(constB21, 1))),
% 27.30/17.81 inference(modus_ponens,[status(thm)],[3035, 3034])).
% 27.30/17.81 tff(3037,plain,
% 27.30/17.81 (~v130(constB21, 1)),
% 27.30/17.81 inference(unit_resolution,[status(thm)],[3036, 1712, 2913])).
% 27.30/17.81 tff(3038,plain,
% 27.30/17.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB21, 1)) | v26(constB21) | v130(constB21, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB21, 1)) | v26(constB21) | v130(constB21, 1))),
% 27.30/17.81 inference(rewrite,[status(thm)],[])).
% 27.30/17.81 tff(3039,plain,
% 27.30/17.81 ((v26(constB21) | v130(constB21, 1) | (~v127(constB21, 1))) <=> ((~v127(constB21, 1)) | v26(constB21) | v130(constB21, 1))),
% 27.30/17.81 inference(rewrite,[status(thm)],[])).
% 27.30/17.81 tff(3040,plain,
% 27.30/17.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB21) | v130(constB21, 1) | (~v127(constB21, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB21, 1)) | v26(constB21) | v130(constB21, 1)))),
% 27.30/17.81 inference(monotonicity,[status(thm)],[3039])).
% 27.30/17.81 tff(3041,plain,
% 27.30/17.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB21) | v130(constB21, 1) | (~v127(constB21, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB21, 1)) | v26(constB21) | v130(constB21, 1))),
% 27.30/17.81 inference(transitivity,[status(thm)],[3040, 3038])).
% 27.30/17.81 tff(3042,plain,
% 27.30/17.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB21) | v130(constB21, 1) | (~v127(constB21, 1)))),
% 27.30/17.81 inference(quant_inst,[status(thm)],[])).
% 27.30/17.81 tff(3043,plain,
% 27.30/17.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB21, 1)) | v26(constB21) | v130(constB21, 1)),
% 27.30/17.81 inference(modus_ponens,[status(thm)],[3042, 3041])).
% 27.30/17.81 tff(3044,plain,
% 27.30/17.81 ((~v127(constB21, 1)) | v130(constB21, 1)),
% 27.30/17.81 inference(unit_resolution,[status(thm)],[3043, 541, 2935])).
% 27.30/17.81 tff(3045,plain,
% 27.30/17.81 (~v127(constB21, 1)),
% 27.30/17.81 inference(unit_resolution,[status(thm)],[3044, 3037])).
% 27.30/17.81 tff(3046,plain,
% 27.30/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB21, constB22)) | v127(constB21, 1) | (~v129(constB22, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB21, constB22)) | v127(constB21, 1) | (~v129(constB22, 1)))),
% 27.30/17.81 inference(rewrite,[status(thm)],[])).
% 27.30/17.81 tff(3047,plain,
% 27.30/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB21, constB22)) | v127(constB21, 1) | (~v129(constB22, 1)))),
% 27.30/17.81 inference(quant_inst,[status(thm)],[])).
% 27.30/17.81 tff(3048,plain,
% 27.30/17.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB21, constB22)) | v127(constB21, 1) | (~v129(constB22, 1))),
% 27.30/17.81 inference(modus_ponens,[status(thm)],[3047, 3046])).
% 27.30/17.81 tff(3049,plain,
% 27.30/17.81 (v127(constB21, 1) | (~v129(constB22, 1))),
% 27.30/17.81 inference(unit_resolution,[status(thm)],[3048, 559, 2950])).
% 27.30/17.81 tff(3050,plain,
% 27.30/17.81 (~v129(constB22, 1)),
% 27.30/17.81 inference(unit_resolution,[status(thm)],[3049, 3045])).
% 27.30/17.81 tff(3051,plain,
% 27.30/17.81 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB22, 1)) | v129(constB22, 1) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB22, 1)) | v129(constB22, 1) | (~v100(constB22)))),
% 27.30/17.81 inference(rewrite,[status(thm)],[])).
% 27.30/17.81 tff(3052,plain,
% 27.30/17.81 (((~v90(constB22, 1)) | (~v100(constB22)) | v129(constB22, 1)) <=> ((~v90(constB22, 1)) | v129(constB22, 1) | (~v100(constB22)))),
% 27.30/17.81 inference(rewrite,[status(thm)],[])).
% 27.30/17.81 tff(3053,plain,
% 27.30/17.81 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB22, 1)) | (~v100(constB22)) | v129(constB22, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB22, 1)) | v129(constB22, 1) | (~v100(constB22))))),
% 27.30/17.81 inference(monotonicity,[status(thm)],[3052])).
% 27.30/17.81 tff(3054,plain,
% 27.30/17.81 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB22, 1)) | (~v100(constB22)) | v129(constB22, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB22, 1)) | v129(constB22, 1) | (~v100(constB22)))),
% 27.30/17.81 inference(transitivity,[status(thm)],[3053, 3051])).
% 27.30/17.81 tff(3055,plain,
% 27.30/17.81 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB22, 1)) | (~v100(constB22)) | v129(constB22, 1))),
% 27.30/17.81 inference(quant_inst,[status(thm)],[])).
% 27.30/17.81 tff(3056,plain,
% 27.30/17.81 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB22, 1)) | v129(constB22, 1) | (~v100(constB22))),
% 27.30/17.81 inference(modus_ponens,[status(thm)],[3055, 3054])).
% 27.30/17.81 tff(3057,plain,
% 27.30/17.81 ((~v90(constB22, 1)) | (~v100(constB22))),
% 27.30/17.81 inference(unit_resolution,[status(thm)],[3056, 574, 3050])).
% 27.30/17.81 tff(3058,plain,
% 27.30/17.81 (~v90(constB22, 1)),
% 27.30/17.81 inference(unit_resolution,[status(thm)],[3057, 2984])).
% 27.30/17.81 tff(3059,plain,
% 27.30/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB22, 1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB22, 1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 1)))),
% 27.30/17.81 inference(rewrite,[status(thm)],[])).
% 27.30/17.81 tff(3060,plain,
% 27.30/17.81 (((~nextState(constB22, constB23)) | v90(constB22, 1) | v100(constB23) | (~v90(constB23, 1))) <=> (v90(constB22, 1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 1)))),
% 27.30/17.81 inference(rewrite,[status(thm)],[])).
% 27.30/17.81 tff(3061,plain,
% 27.30/17.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB22, constB23)) | v90(constB22, 1) | v100(constB23) | (~v90(constB23, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB22, 1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 1))))),
% 27.30/17.82 inference(monotonicity,[status(thm)],[3060])).
% 27.30/17.82 tff(3062,plain,
% 27.30/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB22, constB23)) | v90(constB22, 1) | v100(constB23) | (~v90(constB23, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB22, 1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 1)))),
% 27.30/17.82 inference(transitivity,[status(thm)],[3061, 3059])).
% 27.30/17.82 tff(3063,plain,
% 27.30/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB22, constB23)) | v90(constB22, 1) | v100(constB23) | (~v90(constB23, 1)))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3064,plain,
% 27.30/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB22, 1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 1))),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3063, 3062])).
% 27.30/17.82 tff(3065,plain,
% 27.30/17.82 (v90(constB22, 1) | v100(constB23) | (~v90(constB23, 1))),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3064, 191, 3012])).
% 27.30/17.82 tff(3066,plain,
% 27.30/17.82 (v90(constB22, 1) | (~v90(constB23, 1))),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3065, 3024])).
% 27.30/17.82 tff(3067,plain,
% 27.30/17.82 (~v90(constB23, 1)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3066, 3058])).
% 27.30/17.82 tff(3068,plain,
% 27.30/17.82 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB21)) | v130(constB21, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB21)) | v130(constB21, 0))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3069,plain,
% 27.30/17.82 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB21)) | v130(constB21, 0))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3070,plain,
% 27.30/17.82 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB21)) | v130(constB21, 0)),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3069, 3068])).
% 27.30/17.82 tff(3071,plain,
% 27.30/17.82 (v130(constB21, 0)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3070, 1753, 2913])).
% 27.30/17.82 tff(3072,plain,
% 27.30/17.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB21) | (~v130(constB21, 0)) | v127(constB21, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB21) | (~v130(constB21, 0)) | v127(constB21, 0))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3073,plain,
% 27.30/17.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB21) | (~v130(constB21, 0)) | v127(constB21, 0))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3074,plain,
% 27.30/17.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB21) | (~v130(constB21, 0)) | v127(constB21, 0)),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3073, 3072])).
% 27.30/17.82 tff(3075,plain,
% 27.30/17.82 ((~v130(constB21, 0)) | v127(constB21, 0)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3074, 612, 2935])).
% 27.30/17.82 tff(3076,plain,
% 27.30/17.82 (v127(constB21, 0)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3075, 3071])).
% 27.30/17.82 tff(3077,plain,
% 27.30/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB21, constB22)) | (~v127(constB21, 0)) | v129(constB22, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB21, constB22)) | (~v127(constB21, 0)) | v129(constB22, 0))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3078,plain,
% 27.30/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB21, constB22)) | (~v127(constB21, 0)) | v129(constB22, 0))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3079,plain,
% 27.30/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB21, constB22)) | (~v127(constB21, 0)) | v129(constB22, 0)),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3078, 3077])).
% 27.30/17.82 tff(3080,plain,
% 27.30/17.82 ((~v127(constB21, 0)) | v129(constB22, 0)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3079, 627, 2950])).
% 27.30/17.82 tff(3081,plain,
% 27.30/17.82 (v129(constB22, 0)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3080, 3076])).
% 27.30/17.82 tff(3082,plain,
% 27.30/17.82 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB22, 0) | (~v129(constB22, 0)) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB22, 0) | (~v129(constB22, 0)) | (~v100(constB22)))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3083,plain,
% 27.30/17.82 ((v90(constB22, 0) | (~v100(constB22)) | (~v129(constB22, 0))) <=> (v90(constB22, 0) | (~v129(constB22, 0)) | (~v100(constB22)))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3084,plain,
% 27.30/17.82 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB22, 0) | (~v100(constB22)) | (~v129(constB22, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB22, 0) | (~v129(constB22, 0)) | (~v100(constB22))))),
% 27.30/17.82 inference(monotonicity,[status(thm)],[3083])).
% 27.30/17.82 tff(3085,plain,
% 27.30/17.82 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB22, 0) | (~v100(constB22)) | (~v129(constB22, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB22, 0) | (~v129(constB22, 0)) | (~v100(constB22)))),
% 27.30/17.82 inference(transitivity,[status(thm)],[3084, 3082])).
% 27.30/17.82 tff(3086,plain,
% 27.30/17.82 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB22, 0) | (~v100(constB22)) | (~v129(constB22, 0)))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3087,plain,
% 27.30/17.82 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB22, 0) | (~v129(constB22, 0)) | (~v100(constB22))),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3086, 3085])).
% 27.30/17.82 tff(3088,plain,
% 27.30/17.82 (v90(constB22, 0) | (~v100(constB22))),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3087, 642, 3081])).
% 27.30/17.82 tff(3089,plain,
% 27.30/17.82 (v90(constB22, 0)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3088, 2984])).
% 27.30/17.82 tff(3090,plain,
% 27.30/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB22, 0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB22, 0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 0))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3091,plain,
% 27.30/17.82 (((~nextState(constB22, constB23)) | (~v90(constB22, 0)) | v100(constB23) | v90(constB23, 0)) <=> ((~v90(constB22, 0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 0))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3092,plain,
% 27.30/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 0)) | v100(constB23) | v90(constB23, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB22, 0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 0)))),
% 27.30/17.82 inference(monotonicity,[status(thm)],[3091])).
% 27.30/17.82 tff(3093,plain,
% 27.30/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 0)) | v100(constB23) | v90(constB23, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB22, 0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 0))),
% 27.30/17.82 inference(transitivity,[status(thm)],[3092, 3090])).
% 27.30/17.82 tff(3094,plain,
% 27.30/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 0)) | v100(constB23) | v90(constB23, 0))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3095,plain,
% 27.30/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB22, 0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 0)),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3094, 3093])).
% 27.30/17.82 tff(3096,plain,
% 27.30/17.82 ((~v90(constB22, 0)) | v100(constB23) | v90(constB23, 0)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3095, 660, 3012])).
% 27.30/17.82 tff(3097,plain,
% 27.30/17.82 ((~v90(constB22, 0)) | v90(constB23, 0)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3096, 3024])).
% 27.30/17.82 tff(3098,plain,
% 27.30/17.82 (v90(constB23, 0)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3097, 3089])).
% 27.30/17.82 tff(3099,plain,
% 27.30/17.82 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB23, 0)) | v90(constB23, 1) | (~v90(constB23, 2)) | v124(constB23))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB23, 0)) | v90(constB23, 1) | (~v90(constB23, 2)) | v124(constB23))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3100,plain,
% 27.30/17.82 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB23, 0)) | v90(constB23, 1) | (~v90(constB23, 2)) | v124(constB23))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3101,plain,
% 27.30/17.82 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB23, 0)) | v90(constB23, 1) | (~v90(constB23, 2)) | v124(constB23)),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3100, 3099])).
% 27.30/17.82 tff(3102,plain,
% 27.30/17.82 (v124(constB23)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3101, 1794, 3098, 3067, 3033])).
% 27.30/17.82 tff(3103,plain,
% 27.30/17.82 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB23)) | v114(constB23))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB23)) | v114(constB23))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3104,plain,
% 27.30/17.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB23)) | v114(constB23))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3105,plain,
% 27.30/17.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB23)) | v114(constB23)),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3104, 3103])).
% 27.30/17.82 tff(3106,plain,
% 27.30/17.82 (v114(constB23)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3105, 1805, 3102])).
% 27.30/17.82 tff(3107,plain,
% 27.30/17.82 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB23) | (~v114(constB23)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB23) | (~v114(constB23)))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3108,plain,
% 27.30/17.82 (((~v114(constB23)) | v113(constB23)) <=> (v113(constB23) | (~v114(constB23)))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3109,plain,
% 27.30/17.82 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB23)) | v113(constB23))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB23) | (~v114(constB23))))),
% 27.30/17.82 inference(monotonicity,[status(thm)],[3108])).
% 27.30/17.82 tff(3110,plain,
% 27.30/17.82 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB23)) | v113(constB23))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB23) | (~v114(constB23)))),
% 27.30/17.82 inference(transitivity,[status(thm)],[3109, 3107])).
% 27.30/17.82 tff(3111,plain,
% 27.30/17.82 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB23)) | v113(constB23))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3112,plain,
% 27.30/17.82 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB23) | (~v114(constB23))),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3111, 3110])).
% 27.30/17.82 tff(3113,plain,
% 27.30/17.82 (v113(constB23)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3112, 314, 3106])).
% 27.30/17.82 tff(3114,assumption,(v26(constB23)), introduced(assumption)).
% 27.30/17.82 tff(3115,plain,
% 27.30/17.82 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB23))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3116,plain,
% 27.30/17.82 ($false),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3115, 95, 3114])).
% 27.30/17.82 tff(3117,plain,(~v26(constB23)), inference(lemma,lemma(discharge,[]))).
% 27.30/17.82 tff(3118,plain,
% 27.30/17.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | v112(constB23) | (~v113(constB23)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | v112(constB23) | (~v113(constB23)))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3119,plain,
% 27.30/17.82 ((v26(constB23) | (~v113(constB23)) | v112(constB23)) <=> (v26(constB23) | v112(constB23) | (~v113(constB23)))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3120,plain,
% 27.30/17.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | v112(constB23) | (~v113(constB23))))),
% 27.30/17.82 inference(monotonicity,[status(thm)],[3119])).
% 27.30/17.82 tff(3121,plain,
% 27.30/17.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | v112(constB23) | (~v113(constB23)))),
% 27.30/17.82 inference(transitivity,[status(thm)],[3120, 3118])).
% 27.30/17.82 tff(3122,plain,
% 27.30/17.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3123,plain,
% 27.30/17.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | v112(constB23) | (~v113(constB23))),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3122, 3121])).
% 27.30/17.82 tff(3124,plain,
% 27.30/17.82 (v112(constB23) | (~v113(constB23))),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3123, 328, 3117])).
% 27.30/17.82 tff(3125,plain,
% 27.30/17.82 (v112(constB23)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3124, 3113])).
% 27.30/17.82 tff(3126,plain,
% 27.30/17.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB23) | (~v112(constB23)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB23) | (~v112(constB23)))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3127,plain,
% 27.30/17.82 (((~v112(constB23)) | v108(constB23)) <=> (v108(constB23) | (~v112(constB23)))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3128,plain,
% 27.30/17.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB23)) | v108(constB23))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB23) | (~v112(constB23))))),
% 27.30/17.82 inference(monotonicity,[status(thm)],[3127])).
% 27.30/17.82 tff(3129,plain,
% 27.30/17.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB23)) | v108(constB23))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB23) | (~v112(constB23)))),
% 27.30/17.82 inference(transitivity,[status(thm)],[3128, 3126])).
% 27.30/17.82 tff(3130,plain,
% 27.30/17.82 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB23)) | v108(constB23))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3131,plain,
% 27.30/17.82 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB23) | (~v112(constB23))),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3130, 3129])).
% 27.30/17.82 tff(3132,plain,
% 27.30/17.82 (v108(constB23)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3131, 340, 3125])).
% 27.30/17.82 tff(3133,plain,
% 27.30/17.82 (nextState(constB23, constB24) <=> nextState(constB23, constB24)),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3134,axiom,(nextState(constB23, constB24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_23_1')).
% 27.30/17.82 tff(3135,plain,
% 27.30/17.82 (nextState(constB23, constB24)),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3134, 3133])).
% 27.30/17.82 tff(3136,plain,
% 27.30/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3137,plain,
% 27.30/17.82 (((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24)) <=> ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3138,plain,
% 27.30/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23))))),
% 27.30/17.82 inference(monotonicity,[status(thm)],[3137])).
% 27.30/17.82 tff(3139,plain,
% 27.30/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 27.30/17.82 inference(transitivity,[status(thm)],[3138, 3136])).
% 27.30/17.82 tff(3140,plain,
% 27.30/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3141,plain,
% 27.30/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23))),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3140, 3139])).
% 27.30/17.82 tff(3142,plain,
% 27.30/17.82 (v110(constB24) | (~v108(constB23))),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3141, 360, 3135])).
% 27.30/17.82 tff(3143,plain,
% 27.30/17.82 (v110(constB24)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3142, 3132])).
% 27.30/17.82 tff(3144,plain,
% 27.30/17.82 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3145,plain,
% 27.30/17.82 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3146,plain,
% 27.30/17.82 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24))),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3145, 3144])).
% 27.30/17.82 tff(3147,plain,
% 27.30/17.82 (~v104(constB24)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3146, 378, 3135, 3009])).
% 27.30/17.82 tff(3148,plain,
% 27.30/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3149,plain,
% 27.30/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3150,plain,
% 27.30/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB23, constB24)) | v102(constB24) | v104(constB24)),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3149, 3148])).
% 27.30/17.82 tff(3151,plain,
% 27.30/17.82 (v102(constB24) | v104(constB24)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3150, 392, 3135])).
% 27.30/17.82 tff(3152,plain,
% 27.30/17.82 (v102(constB24)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3151, 3147])).
% 27.30/17.82 tff(3153,plain,
% 27.30/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3154,plain,
% 27.30/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3155,plain,
% 27.30/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24))),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3154, 3153])).
% 27.30/17.82 tff(3156,plain,
% 27.30/17.82 (v101(constB24) | (~v102(constB24))),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3155, 410, 3135, 67])).
% 27.30/17.82 tff(3157,plain,
% 27.30/17.82 (v101(constB24)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3156, 3152])).
% 27.30/17.82 tff(3158,plain,
% 27.30/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3159,plain,
% 27.30/17.82 (((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24)) <=> ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3160,plain,
% 27.30/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24))))),
% 27.30/17.82 inference(monotonicity,[status(thm)],[3159])).
% 27.30/17.82 tff(3161,plain,
% 27.30/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 27.30/17.82 inference(transitivity,[status(thm)],[3160, 3158])).
% 27.30/17.82 tff(3162,plain,
% 27.30/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3163,plain,
% 27.30/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24))),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3162, 3161])).
% 27.30/17.82 tff(3164,plain,
% 27.30/17.82 (v100(constB24) | (~v101(constB24)) | (~v110(constB24))),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3163, 425, 3135])).
% 27.30/17.82 tff(3165,plain,
% 27.30/17.82 (v100(constB24) | (~v110(constB24))),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3164, 3157])).
% 27.30/17.82 tff(3166,plain,
% 27.30/17.82 (v100(constB24)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3165, 3143])).
% 27.30/17.82 tff(3167,plain,
% 27.30/17.82 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB23)) | v130(constB23, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB23)) | v130(constB23, 1))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3168,plain,
% 27.30/17.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB23)) | v130(constB23, 1))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3169,plain,
% 27.30/17.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB23)) | v130(constB23, 1)),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3168, 3167])).
% 27.30/17.82 tff(3170,plain,
% 27.30/17.82 (v130(constB23, 1)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3169, 1929, 3102])).
% 27.30/17.82 tff(3171,plain,
% 27.30/17.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB23) | (~v130(constB23, 1)) | v127(constB23, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB23) | (~v130(constB23, 1)) | v127(constB23, 1))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3172,plain,
% 27.30/17.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB23) | (~v130(constB23, 1)) | v127(constB23, 1))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3173,plain,
% 27.30/17.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB23) | (~v130(constB23, 1)) | v127(constB23, 1)),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3172, 3171])).
% 27.30/17.82 tff(3174,plain,
% 27.30/17.82 ((~v130(constB23, 1)) | v127(constB23, 1)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3173, 855, 3117])).
% 27.30/17.82 tff(3175,plain,
% 27.30/17.82 (v127(constB23, 1)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3174, 3170])).
% 27.30/17.82 tff(3176,plain,
% 27.30/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB23, constB24)) | (~v127(constB23, 1)) | v129(constB24, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB23, constB24)) | (~v127(constB23, 1)) | v129(constB24, 1))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3177,plain,
% 27.30/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB23, constB24)) | (~v127(constB23, 1)) | v129(constB24, 1))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3178,plain,
% 27.30/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB23, constB24)) | (~v127(constB23, 1)) | v129(constB24, 1)),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3177, 3176])).
% 27.30/17.82 tff(3179,plain,
% 27.30/17.82 ((~v127(constB23, 1)) | v129(constB24, 1)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3178, 870, 3135])).
% 27.30/17.82 tff(3180,plain,
% 27.30/17.82 (v129(constB24, 1)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3179, 3175])).
% 27.30/17.82 tff(3181,plain,
% 27.30/17.82 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB24, 1) | (~v129(constB24, 1)) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB24, 1) | (~v129(constB24, 1)) | (~v100(constB24)))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3182,plain,
% 27.30/17.82 ((v90(constB24, 1) | (~v100(constB24)) | (~v129(constB24, 1))) <=> (v90(constB24, 1) | (~v129(constB24, 1)) | (~v100(constB24)))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3183,plain,
% 27.30/17.82 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB24, 1) | (~v100(constB24)) | (~v129(constB24, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB24, 1) | (~v129(constB24, 1)) | (~v100(constB24))))),
% 27.30/17.82 inference(monotonicity,[status(thm)],[3182])).
% 27.30/17.82 tff(3184,plain,
% 27.30/17.82 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB24, 1) | (~v100(constB24)) | (~v129(constB24, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB24, 1) | (~v129(constB24, 1)) | (~v100(constB24)))),
% 27.30/17.82 inference(transitivity,[status(thm)],[3183, 3181])).
% 27.30/17.82 tff(3185,plain,
% 27.30/17.82 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB24, 1) | (~v100(constB24)) | (~v129(constB24, 1)))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3186,plain,
% 27.30/17.82 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB24, 1) | (~v129(constB24, 1)) | (~v100(constB24))),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3185, 3184])).
% 27.30/17.82 tff(3187,plain,
% 27.30/17.82 (v90(constB24, 1) | (~v100(constB24))),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3186, 885, 3180])).
% 27.30/17.82 tff(3188,plain,
% 27.30/17.82 (v90(constB24, 1)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3187, 3166])).
% 27.30/17.82 tff(3189,plain,
% 27.30/17.82 ((~v1(constB25)) <=> (~v1(constB25))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3190,axiom,(~v1(constB25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_25_1_1')).
% 27.30/17.82 tff(3191,plain,
% 27.30/17.82 (~v1(constB25)),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3190, 3189])).
% 27.30/17.82 tff(3192,plain,
% 27.30/17.82 (nextState(constB24, constB25) <=> nextState(constB24, constB25)),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3193,axiom,(nextState(constB24, constB25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_24_1')).
% 27.30/17.82 tff(3194,plain,
% 27.30/17.82 (nextState(constB24, constB25)),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3193, 3192])).
% 27.30/17.82 tff(3195,plain,
% 27.30/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3196,plain,
% 27.30/17.82 (((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25)) <=> (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3197,plain,
% 27.30/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25))))),
% 27.30/17.82 inference(monotonicity,[status(thm)],[3196])).
% 27.30/17.82 tff(3198,plain,
% 27.30/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 27.30/17.82 inference(transitivity,[status(thm)],[3197, 3195])).
% 27.30/17.82 tff(3199,plain,
% 27.30/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3200,plain,
% 27.30/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25))),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3199, 3198])).
% 27.30/17.82 tff(3201,plain,
% 27.30/17.82 (~v101(constB25)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3200, 138, 3194, 3191])).
% 27.30/17.82 tff(3202,plain,
% 27.30/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3203,plain,
% 27.30/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3204,plain,
% 27.30/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25))),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3203, 3202])).
% 27.30/17.82 tff(3205,plain,
% 27.30/17.82 (v101(constB25) | (~v100(constB25))),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3204, 155, 3194])).
% 27.30/17.82 tff(3206,plain,
% 27.30/17.82 (~v100(constB25)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3205, 3201])).
% 27.30/17.82 tff(3207,plain,
% 27.30/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB24, 1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB24, 1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 1))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3208,plain,
% 27.30/17.82 (((~nextState(constB24, constB25)) | (~v90(constB24, 1)) | v100(constB25) | v90(constB25, 1)) <=> ((~v90(constB24, 1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 1))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3209,plain,
% 27.30/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, 1)) | v100(constB25) | v90(constB25, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB24, 1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 1)))),
% 27.30/17.82 inference(monotonicity,[status(thm)],[3208])).
% 27.30/17.82 tff(3210,plain,
% 27.30/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, 1)) | v100(constB25) | v90(constB25, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB24, 1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 1))),
% 27.30/17.82 inference(transitivity,[status(thm)],[3209, 3207])).
% 27.30/17.82 tff(3211,plain,
% 27.30/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, 1)) | v100(constB25) | v90(constB25, 1))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3212,plain,
% 27.30/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB24, 1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 1)),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3211, 3210])).
% 27.30/17.82 tff(3213,plain,
% 27.30/17.82 ((~v90(constB24, 1)) | v100(constB25) | v90(constB25, 1)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3212, 903, 3194])).
% 27.30/17.82 tff(3214,plain,
% 27.30/17.82 ((~v90(constB24, 1)) | v90(constB25, 1)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3213, 3206])).
% 27.30/17.82 tff(3215,plain,
% 27.30/17.82 (v90(constB25, 1)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3214, 3188])).
% 27.30/17.82 tff(3216,plain,
% 27.30/17.82 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB25)) | (~v90(constB25, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB25)) | (~v90(constB25, 1)))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3217,plain,
% 27.30/17.82 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB25)) | (~v90(constB25, 1)))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3218,plain,
% 27.30/17.82 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB25)) | (~v90(constB25, 1))),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3217, 3216])).
% 27.30/17.82 tff(3219,plain,
% 27.30/17.82 (~v120(constB25)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3218, 2141, 3215])).
% 27.30/17.82 tff(3220,plain,
% 27.30/17.82 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB23)) | v130(constB23, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB23)) | v130(constB23, 2))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3221,plain,
% 27.30/17.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB23)) | v130(constB23, 2))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3222,plain,
% 27.30/17.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB23)) | v130(constB23, 2)),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3221, 3220])).
% 27.30/17.82 tff(3223,plain,
% 27.30/17.82 (v130(constB23, 2)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3222, 1873, 3102])).
% 27.30/17.82 tff(3224,plain,
% 27.30/17.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB23) | (~v130(constB23, 2)) | v127(constB23, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB23) | (~v130(constB23, 2)) | v127(constB23, 2))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3225,plain,
% 27.30/17.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB23) | (~v130(constB23, 2)) | v127(constB23, 2))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3226,plain,
% 27.30/17.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB23) | (~v130(constB23, 2)) | v127(constB23, 2)),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3225, 3224])).
% 27.30/17.82 tff(3227,plain,
% 27.30/17.82 ((~v130(constB23, 2)) | v127(constB23, 2)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3226, 1498, 3117])).
% 27.30/17.82 tff(3228,plain,
% 27.30/17.82 (v127(constB23, 2)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3227, 3223])).
% 27.30/17.82 tff(3229,plain,
% 27.30/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB23, constB24)) | (~v127(constB23, 2)) | v129(constB24, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB23, constB24)) | (~v127(constB23, 2)) | v129(constB24, 2))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3230,plain,
% 27.30/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB23, constB24)) | (~v127(constB23, 2)) | v129(constB24, 2))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3231,plain,
% 27.30/17.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB23, constB24)) | (~v127(constB23, 2)) | v129(constB24, 2)),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3230, 3229])).
% 27.30/17.82 tff(3232,plain,
% 27.30/17.82 ((~v127(constB23, 2)) | v129(constB24, 2)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3231, 1513, 3135])).
% 27.30/17.82 tff(3233,plain,
% 27.30/17.82 (v129(constB24, 2)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3232, 3228])).
% 27.30/17.82 tff(3234,plain,
% 27.30/17.82 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB24, 2) | (~v129(constB24, 2)) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB24, 2) | (~v129(constB24, 2)) | (~v100(constB24)))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3235,plain,
% 27.30/17.82 ((v90(constB24, 2) | (~v100(constB24)) | (~v129(constB24, 2))) <=> (v90(constB24, 2) | (~v129(constB24, 2)) | (~v100(constB24)))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3236,plain,
% 27.30/17.82 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB24, 2) | (~v100(constB24)) | (~v129(constB24, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB24, 2) | (~v129(constB24, 2)) | (~v100(constB24))))),
% 27.30/17.82 inference(monotonicity,[status(thm)],[3235])).
% 27.30/17.82 tff(3237,plain,
% 27.30/17.82 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB24, 2) | (~v100(constB24)) | (~v129(constB24, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB24, 2) | (~v129(constB24, 2)) | (~v100(constB24)))),
% 27.30/17.82 inference(transitivity,[status(thm)],[3236, 3234])).
% 27.30/17.82 tff(3238,plain,
% 27.30/17.82 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB24, 2) | (~v100(constB24)) | (~v129(constB24, 2)))),
% 27.30/17.82 inference(quant_inst,[status(thm)],[])).
% 27.30/17.82 tff(3239,plain,
% 27.30/17.82 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB24, 2) | (~v129(constB24, 2)) | (~v100(constB24))),
% 27.30/17.82 inference(modus_ponens,[status(thm)],[3238, 3237])).
% 27.30/17.82 tff(3240,plain,
% 27.30/17.82 (v90(constB24, 2) | (~v100(constB24))),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3239, 1528, 3233])).
% 27.30/17.82 tff(3241,plain,
% 27.30/17.82 (v90(constB24, 2)),
% 27.30/17.82 inference(unit_resolution,[status(thm)],[3240, 3166])).
% 27.30/17.82 tff(3242,plain,
% 27.30/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB24, 2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB24, 2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 2))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3243,plain,
% 27.30/17.82 (((~nextState(constB24, constB25)) | (~v90(constB24, 2)) | v100(constB25) | v90(constB25, 2)) <=> ((~v90(constB24, 2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 2))),
% 27.30/17.82 inference(rewrite,[status(thm)],[])).
% 27.30/17.82 tff(3244,plain,
% 27.30/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, 2)) | v100(constB25) | v90(constB25, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB24, 2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 2)))),
% 27.30/17.82 inference(monotonicity,[status(thm)],[3243])).
% 27.30/17.82 tff(3245,plain,
% 27.30/17.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, 2)) | v100(constB25) | v90(constB25, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB24, 2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 2))),
% 27.30/17.83 inference(transitivity,[status(thm)],[3244, 3242])).
% 27.30/17.83 tff(3246,plain,
% 27.30/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, 2)) | v100(constB25) | v90(constB25, 2))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3247,plain,
% 27.30/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB24, 2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 2)),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3246, 3245])).
% 27.30/17.83 tff(3248,plain,
% 27.30/17.83 ((~v90(constB24, 2)) | v100(constB25) | v90(constB25, 2)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3247, 1546, 3194])).
% 27.30/17.83 tff(3249,plain,
% 27.30/17.83 ((~v90(constB24, 2)) | v90(constB25, 2)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3248, 3206])).
% 27.30/17.83 tff(3250,plain,
% 27.30/17.83 (v90(constB25, 2)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3249, 3241])).
% 27.30/17.83 tff(3251,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB25)) | (~v90(constB25, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB25)) | (~v90(constB25, 2)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3252,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB25)) | (~v90(constB25, 2)))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3253,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB25)) | (~v90(constB25, 2))),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3252, 3251])).
% 27.30/17.83 tff(3254,plain,
% 27.30/17.83 (~v122(constB25)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3253, 2119, 3250])).
% 27.30/17.83 tff(3255,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB25)) | (~v90(constB25, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB25)) | (~v90(constB25, 1)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3256,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB25)) | (~v90(constB25, 1)))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3257,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB25)) | (~v90(constB25, 1))),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3256, 3255])).
% 27.30/17.83 tff(3258,plain,
% 27.30/17.83 (~v124(constB25)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3257, 2097, 3215])).
% 27.30/17.83 tff(3259,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB25)) | (~v90(constB25, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB25)) | (~v90(constB25, 2)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3260,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB25)) | (~v90(constB25, 2)))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3261,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB25)) | (~v90(constB25, 2))),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3260, 3259])).
% 27.30/17.83 tff(3262,plain,
% 27.30/17.83 (~v121(constB25)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3261, 2130, 3250])).
% 27.30/17.83 tff(3263,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB25)) | (~v90(constB25, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB25)) | (~v90(constB25, 1)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3264,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB25)) | (~v90(constB25, 1)))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3265,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB25)) | (~v90(constB25, 1))),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3264, 3263])).
% 27.30/17.83 tff(3266,plain,
% 27.30/17.83 (~v123(constB25)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3265, 2108, 3215])).
% 27.30/17.83 tff(3267,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB25)) | (~v90(constB25, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB25)) | (~v90(constB25, 1)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3268,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB25)) | (~v90(constB25, 1)))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3269,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB25)) | (~v90(constB25, 1))),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3268, 3267])).
% 27.30/17.83 tff(3270,plain,
% 27.30/17.83 (~v119(constB25)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3269, 2086, 3215])).
% 27.30/17.83 tff(3271,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 2)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3272,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 2)))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3273,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 2))),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3272, 3271])).
% 27.30/17.83 tff(3274,plain,
% 27.30/17.83 (~v130(constB25, 2)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3273, 2155, 3270, 3266, 3262, 3258, 3254, 3219])).
% 27.30/17.83 tff(3275,assumption,(v26(constB25)), introduced(assumption)).
% 27.30/17.83 tff(3276,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB25))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3277,plain,
% 27.30/17.83 ($false),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3276, 95, 3275])).
% 27.30/17.83 tff(3278,plain,(~v26(constB25)), inference(lemma,lemma(discharge,[]))).
% 27.30/17.83 tff(3279,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB25, 2)) | v26(constB25) | v130(constB25, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB25, 2)) | v26(constB25) | v130(constB25, 2))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3280,plain,
% 27.30/17.83 ((v26(constB25) | v130(constB25, 2) | (~v127(constB25, 2))) <=> ((~v127(constB25, 2)) | v26(constB25) | v130(constB25, 2))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3281,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB25) | v130(constB25, 2) | (~v127(constB25, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB25, 2)) | v26(constB25) | v130(constB25, 2)))),
% 27.30/17.83 inference(monotonicity,[status(thm)],[3280])).
% 27.30/17.83 tff(3282,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB25) | v130(constB25, 2) | (~v127(constB25, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB25, 2)) | v26(constB25) | v130(constB25, 2))),
% 27.30/17.83 inference(transitivity,[status(thm)],[3281, 3279])).
% 27.30/17.83 tff(3283,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB25) | v130(constB25, 2) | (~v127(constB25, 2)))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3284,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB25, 2)) | v26(constB25) | v130(constB25, 2)),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3283, 3282])).
% 27.30/17.83 tff(3285,plain,
% 27.30/17.83 ((~v127(constB25, 2)) | v130(constB25, 2)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3284, 455, 3278])).
% 27.30/17.83 tff(3286,plain,
% 27.30/17.83 (~v127(constB25, 2)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3285, 3274])).
% 27.30/17.83 tff(3287,plain,
% 27.30/17.83 (nextState(constB25, constB26) <=> nextState(constB25, constB26)),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3288,axiom,(nextState(constB25, constB26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_25_1')).
% 27.30/17.83 tff(3289,plain,
% 27.30/17.83 (nextState(constB25, constB26)),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3288, 3287])).
% 27.30/17.83 tff(3290,plain,
% 27.30/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB25, constB26)) | v127(constB25, 2) | (~v129(constB26, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB25, constB26)) | v127(constB25, 2) | (~v129(constB26, 2)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3291,plain,
% 27.30/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB25, constB26)) | v127(constB25, 2) | (~v129(constB26, 2)))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3292,plain,
% 27.30/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB25, constB26)) | v127(constB25, 2) | (~v129(constB26, 2))),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3291, 3290])).
% 27.30/17.83 tff(3293,plain,
% 27.30/17.83 (v127(constB25, 2) | (~v129(constB26, 2))),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3292, 473, 3289])).
% 27.30/17.83 tff(3294,plain,
% 27.30/17.83 (~v129(constB26, 2)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3293, 3286])).
% 27.30/17.83 tff(3295,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB23)) | (~v130(constB23, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB23)) | (~v130(constB23, 0)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3296,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB23)) | (~v130(constB23, 0)))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3297,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB23)) | (~v130(constB23, 0))),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3296, 3295])).
% 27.30/17.83 tff(3298,plain,
% 27.30/17.83 (~v130(constB23, 0)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3297, 1967, 3102])).
% 27.30/17.83 tff(3299,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB23, 0)) | v26(constB23) | v130(constB23, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB23, 0)) | v26(constB23) | v130(constB23, 0))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3300,plain,
% 27.30/17.83 ((v26(constB23) | v130(constB23, 0) | (~v127(constB23, 0))) <=> ((~v127(constB23, 0)) | v26(constB23) | v130(constB23, 0))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3301,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB23) | v130(constB23, 0) | (~v127(constB23, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB23, 0)) | v26(constB23) | v130(constB23, 0)))),
% 27.30/17.83 inference(monotonicity,[status(thm)],[3300])).
% 27.30/17.83 tff(3302,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB23) | v130(constB23, 0) | (~v127(constB23, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB23, 0)) | v26(constB23) | v130(constB23, 0))),
% 27.30/17.83 inference(transitivity,[status(thm)],[3301, 3299])).
% 27.30/17.83 tff(3303,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB23) | v130(constB23, 0) | (~v127(constB23, 0)))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3304,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB23, 0)) | v26(constB23) | v130(constB23, 0)),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3303, 3302])).
% 27.30/17.83 tff(3305,plain,
% 27.30/17.83 ((~v127(constB23, 0)) | v130(constB23, 0)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3304, 933, 3117])).
% 27.30/17.83 tff(3306,plain,
% 27.30/17.83 (~v127(constB23, 0)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3305, 3298])).
% 27.30/17.83 tff(3307,plain,
% 27.30/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB23, constB24)) | v127(constB23, 0) | (~v129(constB24, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB23, constB24)) | v127(constB23, 0) | (~v129(constB24, 0)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3308,plain,
% 27.30/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB23, constB24)) | v127(constB23, 0) | (~v129(constB24, 0)))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3309,plain,
% 27.30/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB23, constB24)) | v127(constB23, 0) | (~v129(constB24, 0))),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3308, 3307])).
% 27.30/17.83 tff(3310,plain,
% 27.30/17.83 (v127(constB23, 0) | (~v129(constB24, 0))),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3309, 951, 3135])).
% 27.30/17.83 tff(3311,plain,
% 27.30/17.83 (~v129(constB24, 0)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3310, 3306])).
% 27.30/17.83 tff(3312,plain,
% 27.30/17.83 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB24, 0)) | v129(constB24, 0) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB24, 0)) | v129(constB24, 0) | (~v100(constB24)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3313,plain,
% 27.30/17.83 (((~v90(constB24, 0)) | (~v100(constB24)) | v129(constB24, 0)) <=> ((~v90(constB24, 0)) | v129(constB24, 0) | (~v100(constB24)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3314,plain,
% 27.30/17.83 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB24, 0)) | (~v100(constB24)) | v129(constB24, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB24, 0)) | v129(constB24, 0) | (~v100(constB24))))),
% 27.30/17.83 inference(monotonicity,[status(thm)],[3313])).
% 27.30/17.83 tff(3315,plain,
% 27.30/17.83 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB24, 0)) | (~v100(constB24)) | v129(constB24, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB24, 0)) | v129(constB24, 0) | (~v100(constB24)))),
% 27.30/17.83 inference(transitivity,[status(thm)],[3314, 3312])).
% 27.30/17.83 tff(3316,plain,
% 27.30/17.83 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB24, 0)) | (~v100(constB24)) | v129(constB24, 0))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3317,plain,
% 27.30/17.83 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB24, 0)) | v129(constB24, 0) | (~v100(constB24))),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3316, 3315])).
% 27.30/17.83 tff(3318,plain,
% 27.30/17.83 ((~v90(constB24, 0)) | (~v100(constB24))),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3317, 966, 3311])).
% 27.30/17.83 tff(3319,plain,
% 27.30/17.83 (~v90(constB24, 0)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3318, 3166])).
% 27.30/17.83 tff(3320,plain,
% 27.30/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB24, 0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB24, 0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 0)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3321,plain,
% 27.30/17.83 (((~nextState(constB24, constB25)) | v90(constB24, 0) | v100(constB25) | (~v90(constB25, 0))) <=> (v90(constB24, 0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 0)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3322,plain,
% 27.30/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB24, constB25)) | v90(constB24, 0) | v100(constB25) | (~v90(constB25, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB24, 0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 0))))),
% 27.30/17.83 inference(monotonicity,[status(thm)],[3321])).
% 27.30/17.83 tff(3323,plain,
% 27.30/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB24, constB25)) | v90(constB24, 0) | v100(constB25) | (~v90(constB25, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB24, 0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 0)))),
% 27.30/17.83 inference(transitivity,[status(thm)],[3322, 3320])).
% 27.30/17.83 tff(3324,plain,
% 27.30/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB24, constB25)) | v90(constB24, 0) | v100(constB25) | (~v90(constB25, 0)))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3325,plain,
% 27.30/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB24, 0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 0))),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3324, 3323])).
% 27.30/17.83 tff(3326,plain,
% 27.30/17.83 (v90(constB24, 0) | v100(constB25) | (~v90(constB25, 0))),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3325, 212, 3194])).
% 27.30/17.83 tff(3327,plain,
% 27.30/17.83 (v90(constB24, 0) | (~v90(constB25, 0))),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3326, 3206])).
% 27.30/17.83 tff(3328,plain,
% 27.30/17.83 (~v90(constB25, 0)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3327, 3319])).
% 27.30/17.83 tff(3329,assumption,(~v113(constB25)), introduced(assumption)).
% 27.30/17.83 tff(3330,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB25)) | v113(constB25))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB25)) | v113(constB25))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3331,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB25)) | v113(constB25))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3332,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB25)) | v113(constB25)),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3331, 3330])).
% 27.30/17.83 tff(3333,plain,
% 27.30/17.83 (~v114(constB25)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3332, 314, 3329])).
% 27.30/17.83 tff(3334,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB25) | (~v115(constB25)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB25) | (~v115(constB25)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3335,plain,
% 27.30/17.83 (((~v115(constB25)) | v114(constB25)) <=> (v114(constB25) | (~v115(constB25)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3336,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB25)) | v114(constB25))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB25) | (~v115(constB25))))),
% 27.30/17.83 inference(monotonicity,[status(thm)],[3335])).
% 27.30/17.83 tff(3337,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB25)) | v114(constB25))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB25) | (~v115(constB25)))),
% 27.30/17.83 inference(transitivity,[status(thm)],[3336, 3334])).
% 27.30/17.83 tff(3338,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB25)) | v114(constB25))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3339,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB25) | (~v115(constB25))),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3338, 3337])).
% 27.30/17.83 tff(3340,plain,
% 27.30/17.83 (~v115(constB25)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3339, 300, 3333])).
% 27.30/17.83 tff(3341,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB25) | (~v116(constB25)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB25) | (~v116(constB25)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3342,plain,
% 27.30/17.83 (((~v116(constB25)) | v115(constB25)) <=> (v115(constB25) | (~v116(constB25)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3343,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB25)) | v115(constB25))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB25) | (~v116(constB25))))),
% 27.30/17.83 inference(monotonicity,[status(thm)],[3342])).
% 27.30/17.83 tff(3344,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB25)) | v115(constB25))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB25) | (~v116(constB25)))),
% 27.30/17.83 inference(transitivity,[status(thm)],[3343, 3341])).
% 27.30/17.83 tff(3345,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB25)) | v115(constB25))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3346,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB25) | (~v116(constB25))),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3345, 3344])).
% 27.30/17.83 tff(3347,plain,
% 27.30/17.83 (~v116(constB25)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3346, 286, 3340])).
% 27.30/17.83 tff(3348,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB25) | (~v117(constB25)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB25) | (~v117(constB25)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3349,plain,
% 27.30/17.83 (((~v117(constB25)) | v116(constB25)) <=> (v116(constB25) | (~v117(constB25)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3350,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB25)) | v116(constB25))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB25) | (~v117(constB25))))),
% 27.30/17.83 inference(monotonicity,[status(thm)],[3349])).
% 27.30/17.83 tff(3351,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB25)) | v116(constB25))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB25) | (~v117(constB25)))),
% 27.30/17.83 inference(transitivity,[status(thm)],[3350, 3348])).
% 27.30/17.83 tff(3352,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB25)) | v116(constB25))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3353,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB25) | (~v117(constB25))),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3352, 3351])).
% 27.30/17.83 tff(3354,plain,
% 27.30/17.83 (~v117(constB25)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3353, 272, 3347])).
% 27.30/17.83 tff(3355,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB25) | (~v121(constB25)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB25) | (~v121(constB25)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3356,plain,
% 27.30/17.83 (((~v121(constB25)) | v117(constB25)) <=> (v117(constB25) | (~v121(constB25)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3357,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB25)) | v117(constB25))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB25) | (~v121(constB25))))),
% 27.30/17.83 inference(monotonicity,[status(thm)],[3356])).
% 27.30/17.83 tff(3358,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB25)) | v117(constB25))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB25) | (~v121(constB25)))),
% 27.30/17.83 inference(transitivity,[status(thm)],[3357, 3355])).
% 27.30/17.83 tff(3359,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB25)) | v117(constB25))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3360,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB25) | (~v121(constB25))),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3359, 3358])).
% 27.30/17.83 tff(3361,plain,
% 27.30/17.83 (~v121(constB25)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3360, 1004, 3354])).
% 27.30/17.83 tff(3362,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB25) | (~v123(constB25)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB25) | (~v123(constB25)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3363,plain,
% 27.30/17.83 (((~v123(constB25)) | v115(constB25)) <=> (v115(constB25) | (~v123(constB25)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3364,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB25)) | v115(constB25))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB25) | (~v123(constB25))))),
% 27.30/17.83 inference(monotonicity,[status(thm)],[3363])).
% 27.30/17.83 tff(3365,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB25)) | v115(constB25))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB25) | (~v123(constB25)))),
% 27.30/17.83 inference(transitivity,[status(thm)],[3364, 3362])).
% 27.30/17.83 tff(3366,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB25)) | v115(constB25))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3367,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB25) | (~v123(constB25))),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3366, 3365])).
% 27.30/17.83 tff(3368,plain,
% 27.30/17.83 (~v123(constB25)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3367, 1579, 3340])).
% 27.30/17.83 tff(3369,assumption,(~v90(constB25, 0)), introduced(assumption)).
% 27.30/17.83 tff(3370,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB25) | (~v118(constB25)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB25) | (~v118(constB25)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3371,plain,
% 27.30/17.83 (((~v118(constB25)) | v117(constB25)) <=> (v117(constB25) | (~v118(constB25)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3372,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB25)) | v117(constB25))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB25) | (~v118(constB25))))),
% 27.30/17.83 inference(monotonicity,[status(thm)],[3371])).
% 27.30/17.83 tff(3373,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB25)) | v117(constB25))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB25) | (~v118(constB25)))),
% 27.30/17.83 inference(transitivity,[status(thm)],[3372, 3370])).
% 27.30/17.83 tff(3374,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB25)) | v117(constB25))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3375,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB25) | (~v118(constB25))),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3374, 3373])).
% 27.30/17.83 tff(3376,plain,
% 27.30/17.83 (~v118(constB25)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3375, 258, 3354])).
% 27.30/17.83 tff(3377,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB25) | (~v119(constB25)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB25) | (~v119(constB25)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3378,plain,
% 27.30/17.83 (((~v119(constB25)) | v118(constB25)) <=> (v118(constB25) | (~v119(constB25)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3379,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB25)) | v118(constB25))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB25) | (~v119(constB25))))),
% 27.30/17.83 inference(monotonicity,[status(thm)],[3378])).
% 27.30/17.83 tff(3380,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB25)) | v118(constB25))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB25) | (~v119(constB25)))),
% 27.30/17.83 inference(transitivity,[status(thm)],[3379, 3377])).
% 27.30/17.83 tff(3381,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB25)) | v118(constB25))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3382,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB25) | (~v119(constB25))),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3381, 3380])).
% 27.30/17.83 tff(3383,plain,
% 27.30/17.83 (~v119(constB25)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3382, 247, 3376])).
% 27.30/17.83 tff(3384,assumption,(~v119(constB25)), introduced(assumption)).
% 27.30/17.83 tff(3385,assumption,(~v90(constB25, 1)), introduced(assumption)).
% 27.30/17.83 tff(3386,assumption,(~v123(constB25)), introduced(assumption)).
% 27.30/17.83 tff(3387,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB25, 0) | v90(constB25, 1) | (~v90(constB25, 2)) | v123(constB25))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB25, 0) | v90(constB25, 1) | (~v90(constB25, 2)) | v123(constB25))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3388,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB25, 0) | v90(constB25, 1) | (~v90(constB25, 2)) | v123(constB25))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3389,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB25, 0) | v90(constB25, 1) | (~v90(constB25, 2)) | v123(constB25)),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3388, 3387])).
% 27.30/17.83 tff(3390,plain,
% 27.30/17.83 (v90(constB25, 1) | (~v90(constB25, 2)) | v123(constB25)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3389, 1565, 3369])).
% 27.30/17.83 tff(3391,plain,
% 27.30/17.83 (~v90(constB25, 2)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3390, 3385, 3386])).
% 27.30/17.83 tff(3392,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB25, 0) | v90(constB25, 1) | v90(constB25, 2) | v119(constB25))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB25, 0) | v90(constB25, 1) | v90(constB25, 2) | v119(constB25))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3393,plain,
% 27.30/17.83 ((v90(constB25, 0) | v119(constB25) | v90(constB25, 1) | v90(constB25, 2)) <=> (v90(constB25, 0) | v90(constB25, 1) | v90(constB25, 2) | v119(constB25))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3394,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB25, 0) | v119(constB25) | v90(constB25, 1) | v90(constB25, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB25, 0) | v90(constB25, 1) | v90(constB25, 2) | v119(constB25)))),
% 27.30/17.83 inference(monotonicity,[status(thm)],[3393])).
% 27.30/17.83 tff(3395,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB25, 0) | v119(constB25) | v90(constB25, 1) | v90(constB25, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB25, 0) | v90(constB25, 1) | v90(constB25, 2) | v119(constB25))),
% 27.30/17.83 inference(transitivity,[status(thm)],[3394, 3392])).
% 27.30/17.83 tff(3396,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB25, 0) | v119(constB25) | v90(constB25, 1) | v90(constB25, 2))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3397,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB25, 0) | v90(constB25, 1) | v90(constB25, 2) | v119(constB25)),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3396, 3395])).
% 27.30/17.83 tff(3398,plain,
% 27.30/17.83 (v90(constB25, 1) | v90(constB25, 2) | v119(constB25)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3397, 233, 3369])).
% 27.30/17.83 tff(3399,plain,
% 27.30/17.83 ($false),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3398, 3391, 3385, 3384])).
% 27.30/17.83 tff(3400,plain,(v90(constB25, 1) | v119(constB25) | v90(constB25, 0) | v123(constB25)), inference(lemma,lemma(discharge,[]))).
% 27.30/17.83 tff(3401,plain,
% 27.30/17.83 (v90(constB25, 1)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3400, 3383, 3369, 3368])).
% 27.30/17.83 tff(3402,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB25) | (~v125(constB25)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB25) | (~v125(constB25)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3403,plain,
% 27.30/17.83 (((~v125(constB25)) | v113(constB25)) <=> (v113(constB25) | (~v125(constB25)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3404,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB25)) | v113(constB25))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB25) | (~v125(constB25))))),
% 27.30/17.83 inference(monotonicity,[status(thm)],[3403])).
% 27.30/17.83 tff(3405,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB25)) | v113(constB25))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB25) | (~v125(constB25)))),
% 27.30/17.83 inference(transitivity,[status(thm)],[3404, 3402])).
% 27.30/17.83 tff(3406,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB25)) | v113(constB25))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3407,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB25) | (~v125(constB25))),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3406, 3405])).
% 27.30/17.83 tff(3408,plain,
% 27.30/17.83 (~v125(constB25)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3407, 2022, 3329])).
% 27.30/17.83 tff(3409,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB25, 0) | (~v90(constB25, 1)) | (~v90(constB25, 2)) | v125(constB25))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB25, 0) | (~v90(constB25, 1)) | (~v90(constB25, 2)) | v125(constB25))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3410,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB25, 0) | (~v90(constB25, 1)) | (~v90(constB25, 2)) | v125(constB25))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3411,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB25, 0) | (~v90(constB25, 1)) | (~v90(constB25, 2)) | v125(constB25)),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3410, 3409])).
% 27.30/17.83 tff(3412,plain,
% 27.30/17.83 ((~v90(constB25, 1)) | (~v90(constB25, 2)) | v125(constB25)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3411, 2011, 3369])).
% 27.30/17.83 tff(3413,plain,
% 27.30/17.83 (~v90(constB25, 2)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3412, 3401, 3408])).
% 27.30/17.83 tff(3414,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB25, 0) | (~v90(constB25, 1)) | v90(constB25, 2) | v121(constB25))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB25, 0) | (~v90(constB25, 1)) | v90(constB25, 2) | v121(constB25))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3415,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB25, 0) | (~v90(constB25, 1)) | v90(constB25, 2) | v121(constB25))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3416,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB25, 0) | (~v90(constB25, 1)) | v90(constB25, 2) | v121(constB25)),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3415, 3414])).
% 27.30/17.83 tff(3417,plain,
% 27.30/17.83 ((~v90(constB25, 1)) | v90(constB25, 2) | v121(constB25)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3416, 993, 3369])).
% 27.30/17.83 tff(3418,plain,
% 27.30/17.83 ($false),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3417, 3413, 3401, 3361])).
% 27.30/17.83 tff(3419,plain,(v113(constB25) | v90(constB25, 0)), inference(lemma,lemma(discharge,[]))).
% 27.30/17.83 tff(3420,plain,
% 27.30/17.83 (v113(constB25)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3419, 3328])).
% 27.30/17.83 tff(3421,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | v112(constB25) | (~v113(constB25)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3422,plain,
% 27.30/17.83 ((v26(constB25) | (~v113(constB25)) | v112(constB25)) <=> (v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3423,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | v112(constB25) | (~v113(constB25))))),
% 27.30/17.83 inference(monotonicity,[status(thm)],[3422])).
% 27.30/17.83 tff(3424,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 27.30/17.83 inference(transitivity,[status(thm)],[3423, 3421])).
% 27.30/17.83 tff(3425,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3426,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25))),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3425, 3424])).
% 27.30/17.83 tff(3427,plain,
% 27.30/17.83 (v112(constB25) | (~v113(constB25))),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3426, 328, 3278])).
% 27.30/17.83 tff(3428,plain,
% 27.30/17.83 (v112(constB25)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3427, 3420])).
% 27.30/17.83 tff(3429,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB25) | (~v112(constB25)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB25) | (~v112(constB25)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3430,plain,
% 27.30/17.83 (((~v112(constB25)) | v108(constB25)) <=> (v108(constB25) | (~v112(constB25)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3431,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB25)) | v108(constB25))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB25) | (~v112(constB25))))),
% 27.30/17.83 inference(monotonicity,[status(thm)],[3430])).
% 27.30/17.83 tff(3432,plain,
% 27.30/17.83 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB25)) | v108(constB25))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB25) | (~v112(constB25)))),
% 27.30/17.83 inference(transitivity,[status(thm)],[3431, 3429])).
% 27.30/17.83 tff(3433,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB25)) | v108(constB25))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3434,plain,
% 27.30/17.83 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB25) | (~v112(constB25))),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3433, 3432])).
% 27.30/17.83 tff(3435,plain,
% 27.30/17.83 (v108(constB25)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3434, 340, 3428])).
% 27.30/17.83 tff(3436,plain,
% 27.30/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3437,plain,
% 27.30/17.83 (((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26)) <=> ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3438,plain,
% 27.30/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25))))),
% 27.30/17.83 inference(monotonicity,[status(thm)],[3437])).
% 27.30/17.83 tff(3439,plain,
% 27.30/17.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 27.30/17.83 inference(transitivity,[status(thm)],[3438, 3436])).
% 27.30/17.83 tff(3440,plain,
% 27.30/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3441,plain,
% 27.30/17.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25))),
% 27.30/17.83 inference(modus_ponens,[status(thm)],[3440, 3439])).
% 27.30/17.83 tff(3442,plain,
% 27.30/17.83 (v110(constB26) | (~v108(constB25))),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3441, 360, 3289])).
% 27.30/17.83 tff(3443,plain,
% 27.30/17.83 (v110(constB26)),
% 27.30/17.83 inference(unit_resolution,[status(thm)],[3442, 3435])).
% 27.30/17.83 tff(3444,plain,
% 27.30/17.83 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))),
% 27.30/17.83 inference(rewrite,[status(thm)],[])).
% 27.30/17.83 tff(3445,plain,
% 27.30/17.83 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))),
% 27.30/17.83 inference(quant_inst,[status(thm)],[])).
% 27.30/17.83 tff(3446,plain,
% 27.30/17.83 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26))),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3445, 3444])).
% 27.30/17.84 tff(3447,plain,
% 27.30/17.84 (~v104(constB26)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3446, 378, 3289, 3191])).
% 27.30/17.84 tff(3448,plain,
% 27.30/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3449,plain,
% 27.30/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3450,plain,
% 27.30/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB25, constB26)) | v102(constB26) | v104(constB26)),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3449, 3448])).
% 27.30/17.84 tff(3451,plain,
% 27.30/17.84 (v102(constB26) | v104(constB26)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3450, 392, 3289])).
% 27.30/17.84 tff(3452,plain,
% 27.30/17.84 (v102(constB26)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3451, 3447])).
% 27.30/17.84 tff(3453,plain,
% 27.30/17.84 (v1(constB26) <=> v1(constB26)),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3454,axiom,(v1(constB26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_26_1')).
% 27.30/17.84 tff(3455,plain,
% 27.30/17.84 (v1(constB26)),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3454, 3453])).
% 27.30/17.84 tff(3456,plain,
% 27.30/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3457,plain,
% 27.30/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3458,plain,
% 27.30/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26))),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3457, 3456])).
% 27.30/17.84 tff(3459,plain,
% 27.30/17.84 (v101(constB26) | (~v102(constB26))),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3458, 410, 3289, 3455])).
% 27.30/17.84 tff(3460,plain,
% 27.30/17.84 (v101(constB26)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3459, 3452])).
% 27.30/17.84 tff(3461,plain,
% 27.30/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3462,plain,
% 27.30/17.84 (((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26)) <=> ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3463,plain,
% 27.30/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26))))),
% 27.30/17.84 inference(monotonicity,[status(thm)],[3462])).
% 27.30/17.84 tff(3464,plain,
% 27.30/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 27.30/17.84 inference(transitivity,[status(thm)],[3463, 3461])).
% 27.30/17.84 tff(3465,plain,
% 27.30/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3466,plain,
% 27.30/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26))),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3465, 3464])).
% 27.30/17.84 tff(3467,plain,
% 27.30/17.84 (v100(constB26) | (~v101(constB26)) | (~v110(constB26))),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3466, 425, 3289])).
% 27.30/17.84 tff(3468,plain,
% 27.30/17.84 (v100(constB26) | (~v110(constB26))),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3467, 3460])).
% 27.30/17.84 tff(3469,plain,
% 27.30/17.84 (v100(constB26)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3468, 3443])).
% 27.30/17.84 tff(3470,plain,
% 27.30/17.84 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB26, 2)) | v129(constB26, 2) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB26, 2)) | v129(constB26, 2) | (~v100(constB26)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3471,plain,
% 27.30/17.84 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB26, 2)) | v129(constB26, 2) | (~v100(constB26)))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3472,plain,
% 27.30/17.84 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB26, 2)) | v129(constB26, 2) | (~v100(constB26))),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3471, 3470])).
% 27.30/17.84 tff(3473,plain,
% 27.30/17.84 ((~v90(constB26, 2)) | v129(constB26, 2)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3472, 488, 3469])).
% 27.30/17.84 tff(3474,plain,
% 27.30/17.84 (~v90(constB26, 2)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3473, 3294])).
% 27.30/17.84 tff(3475,plain,
% 27.30/17.84 ((~v1(constB27)) <=> (~v1(constB27))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3476,axiom,(~v1(constB27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_27_1_1')).
% 27.30/17.84 tff(3477,plain,
% 27.30/17.84 (~v1(constB27)),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3476, 3475])).
% 27.30/17.84 tff(3478,plain,
% 27.30/17.84 (nextState(constB26, constB27) <=> nextState(constB26, constB27)),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3479,axiom,(nextState(constB26, constB27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_26_1')).
% 27.30/17.84 tff(3480,plain,
% 27.30/17.84 (nextState(constB26, constB27)),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3479, 3478])).
% 27.30/17.84 tff(3481,plain,
% 27.30/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3482,plain,
% 27.30/17.84 (((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27)) <=> (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3483,plain,
% 27.30/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27))))),
% 27.30/17.84 inference(monotonicity,[status(thm)],[3482])).
% 27.30/17.84 tff(3484,plain,
% 27.30/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 27.30/17.84 inference(transitivity,[status(thm)],[3483, 3481])).
% 27.30/17.84 tff(3485,plain,
% 27.30/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3486,plain,
% 27.30/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27))),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3485, 3484])).
% 27.30/17.84 tff(3487,plain,
% 27.30/17.84 (~v101(constB27)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3486, 138, 3480, 3477])).
% 27.30/17.84 tff(3488,plain,
% 27.30/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3489,plain,
% 27.30/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3490,plain,
% 27.30/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27))),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3489, 3488])).
% 27.30/17.84 tff(3491,plain,
% 27.30/17.84 (v101(constB27) | (~v100(constB27))),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3490, 155, 3480])).
% 27.30/17.84 tff(3492,plain,
% 27.30/17.84 (~v100(constB27)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3491, 3487])).
% 27.30/17.84 tff(3493,plain,
% 27.30/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB26, 2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB26, 2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 2)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3494,plain,
% 27.30/17.84 (((~nextState(constB26, constB27)) | v90(constB26, 2) | v100(constB27) | (~v90(constB27, 2))) <=> (v90(constB26, 2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 2)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3495,plain,
% 27.30/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB26, constB27)) | v90(constB26, 2) | v100(constB27) | (~v90(constB27, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB26, 2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 2))))),
% 27.30/17.84 inference(monotonicity,[status(thm)],[3494])).
% 27.30/17.84 tff(3496,plain,
% 27.30/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB26, constB27)) | v90(constB26, 2) | v100(constB27) | (~v90(constB27, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB26, 2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 2)))),
% 27.30/17.84 inference(transitivity,[status(thm)],[3495, 3493])).
% 27.30/17.84 tff(3497,plain,
% 27.30/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB26, constB27)) | v90(constB26, 2) | v100(constB27) | (~v90(constB27, 2)))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3498,plain,
% 27.30/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB26, 2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 2))),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3497, 3496])).
% 27.30/17.84 tff(3499,plain,
% 27.30/17.84 (v90(constB26, 2) | v100(constB27) | (~v90(constB27, 2))),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3498, 170, 3480])).
% 27.30/17.84 tff(3500,plain,
% 27.30/17.84 (v90(constB26, 2) | (~v90(constB27, 2))),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3499, 3492])).
% 27.30/17.84 tff(3501,plain,
% 27.30/17.84 (~v90(constB27, 2)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3500, 3474])).
% 27.30/17.84 tff(3502,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 1)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3503,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 1)))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3504,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 1))),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3503, 3502])).
% 27.30/17.84 tff(3505,plain,
% 27.30/17.84 (~v130(constB25, 1)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3504, 2214, 3270, 3266, 3262, 3258, 3254, 3219])).
% 27.30/17.84 tff(3506,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB25, 1)) | v26(constB25) | v130(constB25, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB25, 1)) | v26(constB25) | v130(constB25, 1))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3507,plain,
% 27.30/17.84 ((v26(constB25) | v130(constB25, 1) | (~v127(constB25, 1))) <=> ((~v127(constB25, 1)) | v26(constB25) | v130(constB25, 1))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3508,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB25) | v130(constB25, 1) | (~v127(constB25, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB25, 1)) | v26(constB25) | v130(constB25, 1)))),
% 27.30/17.84 inference(monotonicity,[status(thm)],[3507])).
% 27.30/17.84 tff(3509,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB25) | v130(constB25, 1) | (~v127(constB25, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB25, 1)) | v26(constB25) | v130(constB25, 1))),
% 27.30/17.84 inference(transitivity,[status(thm)],[3508, 3506])).
% 27.30/17.84 tff(3510,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB25) | v130(constB25, 1) | (~v127(constB25, 1)))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3511,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB25, 1)) | v26(constB25) | v130(constB25, 1)),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3510, 3509])).
% 27.30/17.84 tff(3512,plain,
% 27.30/17.84 ((~v127(constB25, 1)) | v130(constB25, 1)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3511, 541, 3278])).
% 27.30/17.84 tff(3513,plain,
% 27.30/17.84 (~v127(constB25, 1)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3512, 3505])).
% 27.30/17.84 tff(3514,plain,
% 27.30/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB25, constB26)) | v127(constB25, 1) | (~v129(constB26, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB25, constB26)) | v127(constB25, 1) | (~v129(constB26, 1)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3515,plain,
% 27.30/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB25, constB26)) | v127(constB25, 1) | (~v129(constB26, 1)))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3516,plain,
% 27.30/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB25, constB26)) | v127(constB25, 1) | (~v129(constB26, 1))),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3515, 3514])).
% 27.30/17.84 tff(3517,plain,
% 27.30/17.84 (v127(constB25, 1) | (~v129(constB26, 1))),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3516, 559, 3289])).
% 27.30/17.84 tff(3518,plain,
% 27.30/17.84 (~v129(constB26, 1)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3517, 3513])).
% 27.30/17.84 tff(3519,plain,
% 27.30/17.84 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB26, 1)) | v129(constB26, 1) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB26, 1)) | v129(constB26, 1) | (~v100(constB26)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3520,plain,
% 27.30/17.84 (((~v90(constB26, 1)) | (~v100(constB26)) | v129(constB26, 1)) <=> ((~v90(constB26, 1)) | v129(constB26, 1) | (~v100(constB26)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3521,plain,
% 27.30/17.84 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB26, 1)) | (~v100(constB26)) | v129(constB26, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB26, 1)) | v129(constB26, 1) | (~v100(constB26))))),
% 27.30/17.84 inference(monotonicity,[status(thm)],[3520])).
% 27.30/17.84 tff(3522,plain,
% 27.30/17.84 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB26, 1)) | (~v100(constB26)) | v129(constB26, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB26, 1)) | v129(constB26, 1) | (~v100(constB26)))),
% 27.30/17.84 inference(transitivity,[status(thm)],[3521, 3519])).
% 27.30/17.84 tff(3523,plain,
% 27.30/17.84 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB26, 1)) | (~v100(constB26)) | v129(constB26, 1))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3524,plain,
% 27.30/17.84 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB26, 1)) | v129(constB26, 1) | (~v100(constB26))),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3523, 3522])).
% 27.30/17.84 tff(3525,plain,
% 27.30/17.84 ((~v90(constB26, 1)) | v129(constB26, 1)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3524, 574, 3469])).
% 27.30/17.84 tff(3526,plain,
% 27.30/17.84 (~v90(constB26, 1)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3525, 3518])).
% 27.30/17.84 tff(3527,plain,
% 27.30/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB26, 1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB26, 1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 1)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3528,plain,
% 27.30/17.84 (((~nextState(constB26, constB27)) | v90(constB26, 1) | v100(constB27) | (~v90(constB27, 1))) <=> (v90(constB26, 1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 1)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3529,plain,
% 27.30/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB26, constB27)) | v90(constB26, 1) | v100(constB27) | (~v90(constB27, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB26, 1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 1))))),
% 27.30/17.84 inference(monotonicity,[status(thm)],[3528])).
% 27.30/17.84 tff(3530,plain,
% 27.30/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB26, constB27)) | v90(constB26, 1) | v100(constB27) | (~v90(constB27, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB26, 1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 1)))),
% 27.30/17.84 inference(transitivity,[status(thm)],[3529, 3527])).
% 27.30/17.84 tff(3531,plain,
% 27.30/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB26, constB27)) | v90(constB26, 1) | v100(constB27) | (~v90(constB27, 1)))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3532,plain,
% 27.30/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB26, 1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 1))),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3531, 3530])).
% 27.30/17.84 tff(3533,plain,
% 27.30/17.84 (v90(constB26, 1) | v100(constB27) | (~v90(constB27, 1))),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3532, 191, 3480])).
% 27.30/17.84 tff(3534,plain,
% 27.30/17.84 (v90(constB26, 1) | (~v90(constB27, 1))),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3533, 3492])).
% 27.30/17.84 tff(3535,plain,
% 27.30/17.84 (~v90(constB27, 1)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3534, 3526])).
% 27.30/17.84 tff(3536,assumption,(~v121(constB25)), introduced(assumption)).
% 27.30/17.84 tff(3537,assumption,(~v130(constB25, 0)), introduced(assumption)).
% 27.30/17.84 tff(3538,assumption,(~v120(constB25)), introduced(assumption)).
% 27.30/17.84 tff(3539,assumption,(~v122(constB25)), introduced(assumption)).
% 27.30/17.84 tff(3540,assumption,(~v124(constB25)), introduced(assumption)).
% 27.30/17.84 tff(3541,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, 0))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3542,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, 0))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3543,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, 0)),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3542, 3541])).
% 27.30/17.84 tff(3544,plain,
% 27.30/17.84 (v119(constB25) | v121(constB25) | v123(constB25) | v130(constB25, 0)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3543, 2258, 3540, 3539, 3538])).
% 27.30/17.84 tff(3545,plain,
% 27.30/17.84 (v119(constB25)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3544, 3537, 3536, 3386])).
% 27.30/17.84 tff(3546,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB25)) | v130(constB25, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB25)) | v130(constB25, 0))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3547,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB25)) | v130(constB25, 0))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3548,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB25)) | v130(constB25, 0)),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3547, 3546])).
% 27.30/17.84 tff(3549,plain,
% 27.30/17.84 ($false),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3548, 598, 3537, 3545])).
% 27.30/17.84 tff(3550,plain,(v130(constB25, 0) | v121(constB25) | v123(constB25) | v124(constB25) | v122(constB25) | v120(constB25)), inference(lemma,lemma(discharge,[]))).
% 27.30/17.84 tff(3551,plain,
% 27.30/17.84 (v130(constB25, 0)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3550, 3262, 3266, 3258, 3254, 3219])).
% 27.30/17.84 tff(3552,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB25) | (~v130(constB25, 0)) | v127(constB25, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB25) | (~v130(constB25, 0)) | v127(constB25, 0))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3553,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB25) | (~v130(constB25, 0)) | v127(constB25, 0))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3554,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB25) | (~v130(constB25, 0)) | v127(constB25, 0)),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3553, 3552])).
% 27.30/17.84 tff(3555,plain,
% 27.30/17.84 ((~v130(constB25, 0)) | v127(constB25, 0)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3554, 612, 3278])).
% 27.30/17.84 tff(3556,plain,
% 27.30/17.84 (v127(constB25, 0)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3555, 3551])).
% 27.30/17.84 tff(3557,plain,
% 27.30/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB25, constB26)) | (~v127(constB25, 0)) | v129(constB26, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB25, constB26)) | (~v127(constB25, 0)) | v129(constB26, 0))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3558,plain,
% 27.30/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB25, constB26)) | (~v127(constB25, 0)) | v129(constB26, 0))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3559,plain,
% 27.30/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB25, constB26)) | (~v127(constB25, 0)) | v129(constB26, 0)),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3558, 3557])).
% 27.30/17.84 tff(3560,plain,
% 27.30/17.84 ((~v127(constB25, 0)) | v129(constB26, 0)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3559, 627, 3289])).
% 27.30/17.84 tff(3561,plain,
% 27.30/17.84 (v129(constB26, 0)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3560, 3556])).
% 27.30/17.84 tff(3562,plain,
% 27.30/17.84 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB26, 0) | (~v129(constB26, 0)) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB26, 0) | (~v129(constB26, 0)) | (~v100(constB26)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3563,plain,
% 27.30/17.84 ((v90(constB26, 0) | (~v100(constB26)) | (~v129(constB26, 0))) <=> (v90(constB26, 0) | (~v129(constB26, 0)) | (~v100(constB26)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3564,plain,
% 27.30/17.84 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB26, 0) | (~v100(constB26)) | (~v129(constB26, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB26, 0) | (~v129(constB26, 0)) | (~v100(constB26))))),
% 27.30/17.84 inference(monotonicity,[status(thm)],[3563])).
% 27.30/17.84 tff(3565,plain,
% 27.30/17.84 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB26, 0) | (~v100(constB26)) | (~v129(constB26, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB26, 0) | (~v129(constB26, 0)) | (~v100(constB26)))),
% 27.30/17.84 inference(transitivity,[status(thm)],[3564, 3562])).
% 27.30/17.84 tff(3566,plain,
% 27.30/17.84 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB26, 0) | (~v100(constB26)) | (~v129(constB26, 0)))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3567,plain,
% 27.30/17.84 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB26, 0) | (~v129(constB26, 0)) | (~v100(constB26))),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3566, 3565])).
% 27.30/17.84 tff(3568,plain,
% 27.30/17.84 (v90(constB26, 0)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3567, 642, 3469, 3561])).
% 27.30/17.84 tff(3569,plain,
% 27.30/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB26, 0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB26, 0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 0))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3570,plain,
% 27.30/17.84 (((~nextState(constB26, constB27)) | (~v90(constB26, 0)) | v100(constB27) | v90(constB27, 0)) <=> ((~v90(constB26, 0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 0))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3571,plain,
% 27.30/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, 0)) | v100(constB27) | v90(constB27, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB26, 0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 0)))),
% 27.30/17.84 inference(monotonicity,[status(thm)],[3570])).
% 27.30/17.84 tff(3572,plain,
% 27.30/17.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, 0)) | v100(constB27) | v90(constB27, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB26, 0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 0))),
% 27.30/17.84 inference(transitivity,[status(thm)],[3571, 3569])).
% 27.30/17.84 tff(3573,plain,
% 27.30/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, 0)) | v100(constB27) | v90(constB27, 0))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3574,plain,
% 27.30/17.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB26, 0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 0)),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3573, 3572])).
% 27.30/17.84 tff(3575,plain,
% 27.30/17.84 ((~v90(constB26, 0)) | v100(constB27) | v90(constB27, 0)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3574, 660, 3480])).
% 27.30/17.84 tff(3576,plain,
% 27.30/17.84 ((~v90(constB26, 0)) | v90(constB27, 0)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3575, 3492])).
% 27.30/17.84 tff(3577,plain,
% 27.30/17.84 (v90(constB27, 0)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3576, 3568])).
% 27.30/17.84 tff(3578,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB27, 0)) | v90(constB27, 1) | v90(constB27, 2) | v120(constB27))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB27, 0)) | v90(constB27, 1) | v90(constB27, 2) | v120(constB27))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3579,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB27, 0)) | v90(constB27, 1) | v90(constB27, 2) | v120(constB27))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3580,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB27, 0)) | v90(constB27, 1) | v90(constB27, 2) | v120(constB27)),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3579, 3578])).
% 27.30/17.84 tff(3581,plain,
% 27.30/17.84 (v120(constB27)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3580, 679, 3577, 3535, 3501])).
% 27.30/17.84 tff(3582,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB27)) | v118(constB27))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB27)) | v118(constB27))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3583,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB27)) | v118(constB27))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3584,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB27)) | v118(constB27)),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3583, 3582])).
% 27.30/17.84 tff(3585,plain,
% 27.30/17.84 (v118(constB27)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3584, 690, 3581])).
% 27.30/17.84 tff(3586,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB27) | (~v118(constB27)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB27) | (~v118(constB27)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3587,plain,
% 27.30/17.84 (((~v118(constB27)) | v117(constB27)) <=> (v117(constB27) | (~v118(constB27)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3588,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB27)) | v117(constB27))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB27) | (~v118(constB27))))),
% 27.30/17.84 inference(monotonicity,[status(thm)],[3587])).
% 27.30/17.84 tff(3589,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB27)) | v117(constB27))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB27) | (~v118(constB27)))),
% 27.30/17.84 inference(transitivity,[status(thm)],[3588, 3586])).
% 27.30/17.84 tff(3590,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB27)) | v117(constB27))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3591,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB27) | (~v118(constB27))),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3590, 3589])).
% 27.30/17.84 tff(3592,plain,
% 27.30/17.84 (v117(constB27)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3591, 258, 3585])).
% 27.30/17.84 tff(3593,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB27)) | v116(constB27))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB27)) | v116(constB27))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3594,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB27)) | v116(constB27))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3595,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB27)) | v116(constB27)),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3594, 3593])).
% 27.30/17.84 tff(3596,plain,
% 27.30/17.84 (v116(constB27)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3595, 272, 3592])).
% 27.30/17.84 tff(3597,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB27) | (~v116(constB27)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB27) | (~v116(constB27)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3598,plain,
% 27.30/17.84 (((~v116(constB27)) | v115(constB27)) <=> (v115(constB27) | (~v116(constB27)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3599,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB27)) | v115(constB27))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB27) | (~v116(constB27))))),
% 27.30/17.84 inference(monotonicity,[status(thm)],[3598])).
% 27.30/17.84 tff(3600,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB27)) | v115(constB27))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB27) | (~v116(constB27)))),
% 27.30/17.84 inference(transitivity,[status(thm)],[3599, 3597])).
% 27.30/17.84 tff(3601,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB27)) | v115(constB27))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3602,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB27) | (~v116(constB27))),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3601, 3600])).
% 27.30/17.84 tff(3603,plain,
% 27.30/17.84 (v115(constB27)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3602, 286, 3596])).
% 27.30/17.84 tff(3604,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB27) | (~v115(constB27)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB27) | (~v115(constB27)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3605,plain,
% 27.30/17.84 (((~v115(constB27)) | v114(constB27)) <=> (v114(constB27) | (~v115(constB27)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3606,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB27)) | v114(constB27))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB27) | (~v115(constB27))))),
% 27.30/17.84 inference(monotonicity,[status(thm)],[3605])).
% 27.30/17.84 tff(3607,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB27)) | v114(constB27))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB27) | (~v115(constB27)))),
% 27.30/17.84 inference(transitivity,[status(thm)],[3606, 3604])).
% 27.30/17.84 tff(3608,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB27)) | v114(constB27))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3609,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB27) | (~v115(constB27))),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3608, 3607])).
% 27.30/17.84 tff(3610,plain,
% 27.30/17.84 (v114(constB27)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3609, 300, 3603])).
% 27.30/17.84 tff(3611,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB27) | (~v114(constB27)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB27) | (~v114(constB27)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3612,plain,
% 27.30/17.84 (((~v114(constB27)) | v113(constB27)) <=> (v113(constB27) | (~v114(constB27)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3613,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB27)) | v113(constB27))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB27) | (~v114(constB27))))),
% 27.30/17.84 inference(monotonicity,[status(thm)],[3612])).
% 27.30/17.84 tff(3614,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB27)) | v113(constB27))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB27) | (~v114(constB27)))),
% 27.30/17.84 inference(transitivity,[status(thm)],[3613, 3611])).
% 27.30/17.84 tff(3615,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB27)) | v113(constB27))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3616,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB27) | (~v114(constB27))),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3615, 3614])).
% 27.30/17.84 tff(3617,plain,
% 27.30/17.84 (v113(constB27)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3616, 314, 3610])).
% 27.30/17.84 tff(3618,assumption,(v26(constB27)), introduced(assumption)).
% 27.30/17.84 tff(3619,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB27))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3620,plain,
% 27.30/17.84 ($false),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3619, 95, 3618])).
% 27.30/17.84 tff(3621,plain,(~v26(constB27)), inference(lemma,lemma(discharge,[]))).
% 27.30/17.84 tff(3622,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | v112(constB27) | (~v113(constB27)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB27) | v112(constB27) | (~v113(constB27)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3623,plain,
% 27.30/17.84 ((v26(constB27) | (~v113(constB27)) | v112(constB27)) <=> (v26(constB27) | v112(constB27) | (~v113(constB27)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3624,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | (~v113(constB27)) | v112(constB27))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | v112(constB27) | (~v113(constB27))))),
% 27.30/17.84 inference(monotonicity,[status(thm)],[3623])).
% 27.30/17.84 tff(3625,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | (~v113(constB27)) | v112(constB27))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB27) | v112(constB27) | (~v113(constB27)))),
% 27.30/17.84 inference(transitivity,[status(thm)],[3624, 3622])).
% 27.30/17.84 tff(3626,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | (~v113(constB27)) | v112(constB27))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3627,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB27) | v112(constB27) | (~v113(constB27))),
% 27.30/17.84 inference(modus_ponens,[status(thm)],[3626, 3625])).
% 27.30/17.84 tff(3628,plain,
% 27.30/17.84 (v112(constB27) | (~v113(constB27))),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3627, 328, 3621])).
% 27.30/17.84 tff(3629,plain,
% 27.30/17.84 (v112(constB27)),
% 27.30/17.84 inference(unit_resolution,[status(thm)],[3628, 3617])).
% 27.30/17.84 tff(3630,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB27) | (~v112(constB27)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v112(constB27)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3631,plain,
% 27.30/17.84 (((~v112(constB27)) | v108(constB27)) <=> (v108(constB27) | (~v112(constB27)))),
% 27.30/17.84 inference(rewrite,[status(thm)],[])).
% 27.30/17.84 tff(3632,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB27)) | v108(constB27))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB27) | (~v112(constB27))))),
% 27.30/17.84 inference(monotonicity,[status(thm)],[3631])).
% 27.30/17.84 tff(3633,plain,
% 27.30/17.84 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB27)) | v108(constB27))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v112(constB27)))),
% 27.30/17.84 inference(transitivity,[status(thm)],[3632, 3630])).
% 27.30/17.84 tff(3634,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB27)) | v108(constB27))),
% 27.30/17.84 inference(quant_inst,[status(thm)],[])).
% 27.30/17.84 tff(3635,plain,
% 27.30/17.84 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v112(constB27))),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3634, 3633])).
% 27.30/17.85 tff(3636,plain,
% 27.30/17.85 (v108(constB27)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3635, 340, 3629])).
% 27.30/17.85 tff(3637,plain,
% 27.30/17.85 (nextState(constB27, constB28) <=> nextState(constB27, constB28)),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3638,axiom,(nextState(constB27, constB28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_27_1')).
% 27.30/17.85 tff(3639,plain,
% 27.30/17.85 (nextState(constB27, constB28)),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3638, 3637])).
% 27.30/17.85 tff(3640,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3641,plain,
% 27.30/17.85 (((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28)) <=> ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3642,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27))))),
% 27.30/17.85 inference(monotonicity,[status(thm)],[3641])).
% 27.30/17.85 tff(3643,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 27.30/17.85 inference(transitivity,[status(thm)],[3642, 3640])).
% 27.30/17.85 tff(3644,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))),
% 27.30/17.85 inference(quant_inst,[status(thm)],[])).
% 27.30/17.85 tff(3645,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27))),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3644, 3643])).
% 27.30/17.85 tff(3646,plain,
% 27.30/17.85 (v110(constB28) | (~v108(constB27))),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3645, 360, 3639])).
% 27.30/17.85 tff(3647,plain,
% 27.30/17.85 (v110(constB28)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3646, 3636])).
% 27.30/17.85 tff(3648,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3649,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))),
% 27.30/17.85 inference(quant_inst,[status(thm)],[])).
% 27.30/17.85 tff(3650,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28))),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3649, 3648])).
% 27.30/17.85 tff(3651,plain,
% 27.30/17.85 (~v104(constB28)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3650, 378, 3639, 3477])).
% 27.30/17.85 tff(3652,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3653,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))),
% 27.30/17.85 inference(quant_inst,[status(thm)],[])).
% 27.30/17.85 tff(3654,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB27, constB28)) | v102(constB28) | v104(constB28)),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3653, 3652])).
% 27.30/17.85 tff(3655,plain,
% 27.30/17.85 (v102(constB28) | v104(constB28)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3654, 392, 3639])).
% 27.30/17.85 tff(3656,plain,
% 27.30/17.85 (v102(constB28)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3655, 3651])).
% 27.30/17.85 tff(3657,plain,
% 27.30/17.85 (v1(constB28) <=> v1(constB28)),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3658,axiom,(v1(constB28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_28_1')).
% 27.30/17.85 tff(3659,plain,
% 27.30/17.85 (v1(constB28)),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3658, 3657])).
% 27.30/17.85 tff(3660,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3661,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))),
% 27.30/17.85 inference(quant_inst,[status(thm)],[])).
% 27.30/17.85 tff(3662,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28))),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3661, 3660])).
% 27.30/17.85 tff(3663,plain,
% 27.30/17.85 (v101(constB28) | (~v102(constB28))),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3662, 410, 3639, 3659])).
% 27.30/17.85 tff(3664,plain,
% 27.30/17.85 (v101(constB28)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3663, 3656])).
% 27.30/17.85 tff(3665,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3666,plain,
% 27.30/17.85 (((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28)) <=> ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3667,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28))))),
% 27.30/17.85 inference(monotonicity,[status(thm)],[3666])).
% 27.30/17.85 tff(3668,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 27.30/17.85 inference(transitivity,[status(thm)],[3667, 3665])).
% 27.30/17.85 tff(3669,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))),
% 27.30/17.85 inference(quant_inst,[status(thm)],[])).
% 27.30/17.85 tff(3670,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28))),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3669, 3668])).
% 27.30/17.85 tff(3671,plain,
% 27.30/17.85 (v100(constB28) | (~v101(constB28)) | (~v110(constB28))),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3670, 425, 3639])).
% 27.30/17.85 tff(3672,plain,
% 27.30/17.85 (v100(constB28) | (~v110(constB28))),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3671, 3664])).
% 27.30/17.85 tff(3673,plain,
% 27.30/17.85 (v100(constB28)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3672, 3647])).
% 27.30/17.85 tff(3674,plain,
% 27.30/17.85 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB27)) | (~v130(constB27, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB27)) | (~v130(constB27, 0)))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3675,plain,
% 27.30/17.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB27)) | (~v130(constB27, 0)))),
% 27.30/17.85 inference(quant_inst,[status(thm)],[])).
% 27.30/17.85 tff(3676,plain,
% 27.30/17.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB27)) | (~v130(constB27, 0))),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3675, 3674])).
% 27.30/17.85 tff(3677,plain,
% 27.30/17.85 (~v130(constB27, 0)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3676, 919, 3581])).
% 27.30/17.85 tff(3678,plain,
% 27.30/17.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB27, 0)) | v26(constB27) | v130(constB27, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB27, 0)) | v26(constB27) | v130(constB27, 0))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3679,plain,
% 27.30/17.85 ((v26(constB27) | v130(constB27, 0) | (~v127(constB27, 0))) <=> ((~v127(constB27, 0)) | v26(constB27) | v130(constB27, 0))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3680,plain,
% 27.30/17.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB27) | v130(constB27, 0) | (~v127(constB27, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB27, 0)) | v26(constB27) | v130(constB27, 0)))),
% 27.30/17.85 inference(monotonicity,[status(thm)],[3679])).
% 27.30/17.85 tff(3681,plain,
% 27.30/17.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB27) | v130(constB27, 0) | (~v127(constB27, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB27, 0)) | v26(constB27) | v130(constB27, 0))),
% 27.30/17.85 inference(transitivity,[status(thm)],[3680, 3678])).
% 27.30/17.85 tff(3682,plain,
% 27.30/17.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB27) | v130(constB27, 0) | (~v127(constB27, 0)))),
% 27.30/17.85 inference(quant_inst,[status(thm)],[])).
% 27.30/17.85 tff(3683,plain,
% 27.30/17.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB27, 0)) | v26(constB27) | v130(constB27, 0)),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3682, 3681])).
% 27.30/17.85 tff(3684,plain,
% 27.30/17.85 ((~v127(constB27, 0)) | v130(constB27, 0)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3683, 933, 3621])).
% 27.30/17.85 tff(3685,plain,
% 27.30/17.85 (~v127(constB27, 0)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3684, 3677])).
% 27.30/17.85 tff(3686,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB27, constB28)) | v127(constB27, 0) | (~v129(constB28, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB27, constB28)) | v127(constB27, 0) | (~v129(constB28, 0)))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3687,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB27, constB28)) | v127(constB27, 0) | (~v129(constB28, 0)))),
% 27.30/17.85 inference(quant_inst,[status(thm)],[])).
% 27.30/17.85 tff(3688,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB27, constB28)) | v127(constB27, 0) | (~v129(constB28, 0))),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3687, 3686])).
% 27.30/17.85 tff(3689,plain,
% 27.30/17.85 (v127(constB27, 0) | (~v129(constB28, 0))),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3688, 951, 3639])).
% 27.30/17.85 tff(3690,plain,
% 27.30/17.85 (~v129(constB28, 0)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3689, 3685])).
% 27.30/17.85 tff(3691,plain,
% 27.30/17.85 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB28, 0)) | v129(constB28, 0) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB28, 0)) | v129(constB28, 0) | (~v100(constB28)))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3692,plain,
% 27.30/17.85 (((~v90(constB28, 0)) | (~v100(constB28)) | v129(constB28, 0)) <=> ((~v90(constB28, 0)) | v129(constB28, 0) | (~v100(constB28)))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3693,plain,
% 27.30/17.85 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB28, 0)) | (~v100(constB28)) | v129(constB28, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB28, 0)) | v129(constB28, 0) | (~v100(constB28))))),
% 27.30/17.85 inference(monotonicity,[status(thm)],[3692])).
% 27.30/17.85 tff(3694,plain,
% 27.30/17.85 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB28, 0)) | (~v100(constB28)) | v129(constB28, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB28, 0)) | v129(constB28, 0) | (~v100(constB28)))),
% 27.30/17.85 inference(transitivity,[status(thm)],[3693, 3691])).
% 27.30/17.85 tff(3695,plain,
% 27.30/17.85 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB28, 0)) | (~v100(constB28)) | v129(constB28, 0))),
% 27.30/17.85 inference(quant_inst,[status(thm)],[])).
% 27.30/17.85 tff(3696,plain,
% 27.30/17.85 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB28, 0)) | v129(constB28, 0) | (~v100(constB28))),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3695, 3694])).
% 27.30/17.85 tff(3697,plain,
% 27.30/17.85 ((~v90(constB28, 0)) | (~v100(constB28))),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3696, 966, 3690])).
% 27.30/17.85 tff(3698,plain,
% 27.30/17.85 (~v90(constB28, 0)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3697, 3673])).
% 27.30/17.85 tff(3699,plain,
% 27.30/17.85 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB27)) | v130(constB27, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB27)) | v130(constB27, 1))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3700,plain,
% 27.30/17.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB27)) | v130(constB27, 1))),
% 27.30/17.85 inference(quant_inst,[status(thm)],[])).
% 27.30/17.85 tff(3701,plain,
% 27.30/17.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB27)) | v130(constB27, 1)),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3700, 3699])).
% 27.30/17.85 tff(3702,plain,
% 27.30/17.85 (v130(constB27, 1)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3701, 841, 3581])).
% 27.30/17.85 tff(3703,plain,
% 27.30/17.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB27) | (~v130(constB27, 1)) | v127(constB27, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB27) | (~v130(constB27, 1)) | v127(constB27, 1))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3704,plain,
% 27.30/17.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB27) | (~v130(constB27, 1)) | v127(constB27, 1))),
% 27.30/17.85 inference(quant_inst,[status(thm)],[])).
% 27.30/17.85 tff(3705,plain,
% 27.30/17.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB27) | (~v130(constB27, 1)) | v127(constB27, 1)),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3704, 3703])).
% 27.30/17.85 tff(3706,plain,
% 27.30/17.85 ((~v130(constB27, 1)) | v127(constB27, 1)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3705, 855, 3621])).
% 27.30/17.85 tff(3707,plain,
% 27.30/17.85 (v127(constB27, 1)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3706, 3702])).
% 27.30/17.85 tff(3708,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB27, constB28)) | (~v127(constB27, 1)) | v129(constB28, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB27, constB28)) | (~v127(constB27, 1)) | v129(constB28, 1))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3709,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB27, constB28)) | (~v127(constB27, 1)) | v129(constB28, 1))),
% 27.30/17.85 inference(quant_inst,[status(thm)],[])).
% 27.30/17.85 tff(3710,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB27, constB28)) | (~v127(constB27, 1)) | v129(constB28, 1)),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3709, 3708])).
% 27.30/17.85 tff(3711,plain,
% 27.30/17.85 ((~v127(constB27, 1)) | v129(constB28, 1)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3710, 870, 3639])).
% 27.30/17.85 tff(3712,plain,
% 27.30/17.85 (v129(constB28, 1)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3711, 3707])).
% 27.30/17.85 tff(3713,plain,
% 27.30/17.85 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB28, 1) | (~v129(constB28, 1)) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB28, 1) | (~v129(constB28, 1)) | (~v100(constB28)))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3714,plain,
% 27.30/17.85 ((v90(constB28, 1) | (~v100(constB28)) | (~v129(constB28, 1))) <=> (v90(constB28, 1) | (~v129(constB28, 1)) | (~v100(constB28)))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3715,plain,
% 27.30/17.85 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB28, 1) | (~v100(constB28)) | (~v129(constB28, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB28, 1) | (~v129(constB28, 1)) | (~v100(constB28))))),
% 27.30/17.85 inference(monotonicity,[status(thm)],[3714])).
% 27.30/17.85 tff(3716,plain,
% 27.30/17.85 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB28, 1) | (~v100(constB28)) | (~v129(constB28, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB28, 1) | (~v129(constB28, 1)) | (~v100(constB28)))),
% 27.30/17.85 inference(transitivity,[status(thm)],[3715, 3713])).
% 27.30/17.85 tff(3717,plain,
% 27.30/17.85 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB28, 1) | (~v100(constB28)) | (~v129(constB28, 1)))),
% 27.30/17.85 inference(quant_inst,[status(thm)],[])).
% 27.30/17.85 tff(3718,plain,
% 27.30/17.85 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB28, 1) | (~v129(constB28, 1)) | (~v100(constB28))),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3717, 3716])).
% 27.30/17.85 tff(3719,plain,
% 27.30/17.85 (v90(constB28, 1) | (~v100(constB28))),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3718, 885, 3712])).
% 27.30/17.85 tff(3720,plain,
% 27.30/17.85 (v90(constB28, 1)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3719, 3673])).
% 27.30/17.85 tff(3721,assumption,(~v121(constB29)), introduced(assumption)).
% 27.30/17.85 tff(3722,assumption,(~v90(constB28, 0)), introduced(assumption)).
% 27.30/17.85 tff(3723,assumption,(~v90(constB27, 2)), introduced(assumption)).
% 27.30/17.85 tff(3724,plain,
% 27.30/17.85 ((~v1(constB29)) <=> (~v1(constB29))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3725,axiom,(~v1(constB29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_29_1_1')).
% 27.30/17.85 tff(3726,plain,
% 27.30/17.85 (~v1(constB29)),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3725, 3724])).
% 27.30/17.85 tff(3727,plain,
% 27.30/17.85 (nextState(constB28, constB29) <=> nextState(constB28, constB29)),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3728,axiom,(nextState(constB28, constB29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_28_1')).
% 27.30/17.85 tff(3729,plain,
% 27.30/17.85 (nextState(constB28, constB29)),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3728, 3727])).
% 27.30/17.85 tff(3730,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3731,plain,
% 27.30/17.85 (((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29)) <=> (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3732,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29))))),
% 27.30/17.85 inference(monotonicity,[status(thm)],[3731])).
% 27.30/17.85 tff(3733,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 27.30/17.85 inference(transitivity,[status(thm)],[3732, 3730])).
% 27.30/17.85 tff(3734,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))),
% 27.30/17.85 inference(quant_inst,[status(thm)],[])).
% 27.30/17.85 tff(3735,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29))),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3734, 3733])).
% 27.30/17.85 tff(3736,plain,
% 27.30/17.85 (~v101(constB29)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3735, 138, 3729, 3726])).
% 27.30/17.85 tff(3737,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3738,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))),
% 27.30/17.85 inference(quant_inst,[status(thm)],[])).
% 27.30/17.85 tff(3739,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29))),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3738, 3737])).
% 27.30/17.85 tff(3740,plain,
% 27.30/17.85 (v101(constB29) | (~v100(constB29))),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3739, 155, 3729])).
% 27.30/17.85 tff(3741,plain,
% 27.30/17.85 (~v100(constB29)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3740, 3736])).
% 27.30/17.85 tff(3742,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB28, 0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB28, 0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 0)))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3743,plain,
% 27.30/17.85 (((~nextState(constB28, constB29)) | v90(constB28, 0) | v100(constB29) | (~v90(constB29, 0))) <=> (v90(constB28, 0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 0)))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3744,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB28, constB29)) | v90(constB28, 0) | v100(constB29) | (~v90(constB29, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB28, 0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 0))))),
% 27.30/17.85 inference(monotonicity,[status(thm)],[3743])).
% 27.30/17.85 tff(3745,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB28, constB29)) | v90(constB28, 0) | v100(constB29) | (~v90(constB29, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB28, 0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 0)))),
% 27.30/17.85 inference(transitivity,[status(thm)],[3744, 3742])).
% 27.30/17.85 tff(3746,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB28, constB29)) | v90(constB28, 0) | v100(constB29) | (~v90(constB29, 0)))),
% 27.30/17.85 inference(quant_inst,[status(thm)],[])).
% 27.30/17.85 tff(3747,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB28, 0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 0))),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3746, 3745])).
% 27.30/17.85 tff(3748,plain,
% 27.30/17.85 (v90(constB28, 0) | v100(constB29) | (~v90(constB29, 0))),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3747, 212, 3729])).
% 27.30/17.85 tff(3749,plain,
% 27.30/17.85 (v90(constB28, 0) | (~v90(constB29, 0))),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3748, 3741])).
% 27.30/17.85 tff(3750,plain,
% 27.30/17.85 (~v90(constB29, 0)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3749, 3722])).
% 27.30/17.85 tff(3751,plain,
% 27.30/17.85 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | v90(VarCurr, 0)) <=> ((~v122(VarCurr)) | v90(VarCurr, 0)))),
% 27.30/17.85 inference(bind,[status(th)],[])).
% 27.30/17.85 tff(3752,plain,
% 27.30/17.85 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))),
% 27.30/17.85 inference(quant_intro,[status(thm)],[3751])).
% 27.30/17.85 tff(3753,plain,
% 27.30/17.85 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3754,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_3')).
% 27.30/17.85 tff(3755,plain,
% 27.30/17.85 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3754, 3753])).
% 27.30/17.85 tff(3756,plain,(
% 27.30/17.85 ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))),
% 27.30/17.85 inference(skolemize,[status(sab)],[3755])).
% 27.30/17.85 tff(3757,plain,
% 27.30/17.85 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3756, 3752])).
% 27.30/17.85 tff(3758,plain,
% 27.30/17.85 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB29)) | v90(constB29, 0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB29)) | v90(constB29, 0))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3759,plain,
% 27.30/17.85 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB29)) | v90(constB29, 0))),
% 27.30/17.85 inference(quant_inst,[status(thm)],[])).
% 27.30/17.85 tff(3760,plain,
% 27.30/17.85 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB29)) | v90(constB29, 0)),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3759, 3758])).
% 27.30/17.85 tff(3761,plain,
% 27.30/17.85 (~v122(constB29)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3760, 3757, 3750])).
% 27.30/17.85 tff(3762,assumption,(~v100(constB28)), introduced(assumption)).
% 27.30/17.85 tff(3763,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB27, 2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB27, 2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 2)))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3764,plain,
% 27.30/17.85 (((~nextState(constB27, constB28)) | v90(constB27, 2) | v100(constB28) | (~v90(constB28, 2))) <=> (v90(constB27, 2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 2)))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3765,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB27, constB28)) | v90(constB27, 2) | v100(constB28) | (~v90(constB28, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB27, 2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 2))))),
% 27.30/17.85 inference(monotonicity,[status(thm)],[3764])).
% 27.30/17.85 tff(3766,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB27, constB28)) | v90(constB27, 2) | v100(constB28) | (~v90(constB28, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB27, 2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 2)))),
% 27.30/17.85 inference(transitivity,[status(thm)],[3765, 3763])).
% 27.30/17.85 tff(3767,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB27, constB28)) | v90(constB27, 2) | v100(constB28) | (~v90(constB28, 2)))),
% 27.30/17.85 inference(quant_inst,[status(thm)],[])).
% 27.30/17.85 tff(3768,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB27, 2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 2))),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3767, 3766])).
% 27.30/17.85 tff(3769,plain,
% 27.30/17.85 (v90(constB27, 2) | v100(constB28) | (~v90(constB28, 2))),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3768, 170, 3639])).
% 27.30/17.85 tff(3770,plain,
% 27.30/17.85 (~v90(constB28, 2)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3769, 3762, 3723])).
% 27.30/17.85 tff(3771,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB28, 2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB28, 2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 2)))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3772,plain,
% 27.30/17.85 (((~nextState(constB28, constB29)) | v90(constB28, 2) | v100(constB29) | (~v90(constB29, 2))) <=> (v90(constB28, 2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 2)))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3773,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB28, constB29)) | v90(constB28, 2) | v100(constB29) | (~v90(constB29, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB28, 2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 2))))),
% 27.30/17.85 inference(monotonicity,[status(thm)],[3772])).
% 27.30/17.85 tff(3774,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB28, constB29)) | v90(constB28, 2) | v100(constB29) | (~v90(constB29, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB28, 2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 2)))),
% 27.30/17.85 inference(transitivity,[status(thm)],[3773, 3771])).
% 27.30/17.85 tff(3775,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB28, constB29)) | v90(constB28, 2) | v100(constB29) | (~v90(constB29, 2)))),
% 27.30/17.85 inference(quant_inst,[status(thm)],[])).
% 27.30/17.85 tff(3776,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB28, 2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 2))),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3775, 3774])).
% 27.30/17.85 tff(3777,plain,
% 27.30/17.85 (v90(constB28, 2) | v100(constB29) | (~v90(constB29, 2))),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3776, 170, 3729])).
% 27.30/17.85 tff(3778,plain,
% 27.30/17.85 (v90(constB28, 2) | (~v90(constB29, 2))),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3777, 3741])).
% 27.30/17.85 tff(3779,plain,
% 27.30/17.85 (~v90(constB29, 2)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3778, 3770])).
% 27.30/17.85 tff(3780,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB27, 0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB27, 0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 0))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3781,plain,
% 27.30/17.85 (((~nextState(constB27, constB28)) | (~v90(constB27, 0)) | v100(constB28) | v90(constB28, 0)) <=> ((~v90(constB27, 0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 0))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3782,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB27, constB28)) | (~v90(constB27, 0)) | v100(constB28) | v90(constB28, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB27, 0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 0)))),
% 27.30/17.85 inference(monotonicity,[status(thm)],[3781])).
% 27.30/17.85 tff(3783,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB27, constB28)) | (~v90(constB27, 0)) | v100(constB28) | v90(constB28, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB27, 0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 0))),
% 27.30/17.85 inference(transitivity,[status(thm)],[3782, 3780])).
% 27.30/17.85 tff(3784,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB27, constB28)) | (~v90(constB27, 0)) | v100(constB28) | v90(constB28, 0))),
% 27.30/17.85 inference(quant_inst,[status(thm)],[])).
% 27.30/17.85 tff(3785,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB27, 0)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 0)),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3784, 3783])).
% 27.30/17.85 tff(3786,plain,
% 27.30/17.85 ((~v90(constB27, 0)) | v100(constB28) | v90(constB28, 0)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3785, 660, 3639])).
% 27.30/17.85 tff(3787,plain,
% 27.30/17.85 (~v90(constB27, 0)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3786, 3762, 3722])).
% 27.30/17.85 tff(3788,assumption,(~v90(constB28, 1)), introduced(assumption)).
% 27.30/17.85 tff(3789,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB27, 1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB27, 1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 1))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3790,plain,
% 27.30/17.85 (((~nextState(constB27, constB28)) | (~v90(constB27, 1)) | v100(constB28) | v90(constB28, 1)) <=> ((~v90(constB27, 1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 1))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3791,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB27, constB28)) | (~v90(constB27, 1)) | v100(constB28) | v90(constB28, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB27, 1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 1)))),
% 27.30/17.85 inference(monotonicity,[status(thm)],[3790])).
% 27.30/17.85 tff(3792,plain,
% 27.30/17.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB27, constB28)) | (~v90(constB27, 1)) | v100(constB28) | v90(constB28, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB27, 1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 1))),
% 27.30/17.85 inference(transitivity,[status(thm)],[3791, 3789])).
% 27.30/17.85 tff(3793,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB27, constB28)) | (~v90(constB27, 1)) | v100(constB28) | v90(constB28, 1))),
% 27.30/17.85 inference(quant_inst,[status(thm)],[])).
% 27.30/17.85 tff(3794,plain,
% 27.30/17.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB27, 1)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 1)),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3793, 3792])).
% 27.30/17.85 tff(3795,plain,
% 27.30/17.85 ((~v90(constB27, 1)) | v100(constB28) | v90(constB28, 1)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3794, 903, 3639])).
% 27.30/17.85 tff(3796,plain,
% 27.30/17.85 (~v90(constB27, 1)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3795, 3762, 3788])).
% 27.30/17.85 tff(3797,plain,
% 27.30/17.85 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB27, 0) | v90(constB27, 1) | v90(constB27, 2) | v119(constB27))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB27, 0) | v90(constB27, 1) | v90(constB27, 2) | v119(constB27))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3798,plain,
% 27.30/17.85 ((v90(constB27, 0) | v119(constB27) | v90(constB27, 1) | v90(constB27, 2)) <=> (v90(constB27, 0) | v90(constB27, 1) | v90(constB27, 2) | v119(constB27))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3799,plain,
% 27.30/17.85 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB27, 0) | v119(constB27) | v90(constB27, 1) | v90(constB27, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB27, 0) | v90(constB27, 1) | v90(constB27, 2) | v119(constB27)))),
% 27.30/17.85 inference(monotonicity,[status(thm)],[3798])).
% 27.30/17.85 tff(3800,plain,
% 27.30/17.85 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB27, 0) | v119(constB27) | v90(constB27, 1) | v90(constB27, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB27, 0) | v90(constB27, 1) | v90(constB27, 2) | v119(constB27))),
% 27.30/17.85 inference(transitivity,[status(thm)],[3799, 3797])).
% 27.30/17.85 tff(3801,plain,
% 27.30/17.85 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB27, 0) | v119(constB27) | v90(constB27, 1) | v90(constB27, 2))),
% 27.30/17.85 inference(quant_inst,[status(thm)],[])).
% 27.30/17.85 tff(3802,plain,
% 27.30/17.85 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB27, 0) | v90(constB27, 1) | v90(constB27, 2) | v119(constB27)),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3801, 3800])).
% 27.30/17.85 tff(3803,plain,
% 27.30/17.85 (v90(constB27, 0) | v90(constB27, 1) | v119(constB27)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3802, 233, 3723])).
% 27.30/17.85 tff(3804,plain,
% 27.30/17.85 (v119(constB27)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3803, 3796, 3787])).
% 27.30/17.85 tff(3805,plain,
% 27.30/17.85 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB27) | (~v119(constB27)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB27) | (~v119(constB27)))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3806,plain,
% 27.30/17.85 (((~v119(constB27)) | v118(constB27)) <=> (v118(constB27) | (~v119(constB27)))),
% 27.30/17.85 inference(rewrite,[status(thm)],[])).
% 27.30/17.85 tff(3807,plain,
% 27.30/17.85 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB27)) | v118(constB27))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB27) | (~v119(constB27))))),
% 27.30/17.85 inference(monotonicity,[status(thm)],[3806])).
% 27.30/17.85 tff(3808,plain,
% 27.30/17.85 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB27)) | v118(constB27))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB27) | (~v119(constB27)))),
% 27.30/17.85 inference(transitivity,[status(thm)],[3807, 3805])).
% 27.30/17.85 tff(3809,plain,
% 27.30/17.85 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB27)) | v118(constB27))),
% 27.30/17.85 inference(quant_inst,[status(thm)],[])).
% 27.30/17.85 tff(3810,plain,
% 27.30/17.85 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB27) | (~v119(constB27))),
% 27.30/17.85 inference(modus_ponens,[status(thm)],[3809, 3808])).
% 27.30/17.85 tff(3811,plain,
% 27.30/17.85 (v118(constB27)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3810, 247, 3804])).
% 27.30/17.85 tff(3812,plain,
% 27.30/17.85 (v117(constB27)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3591, 258, 3811])).
% 27.30/17.85 tff(3813,plain,
% 27.30/17.85 (v116(constB27)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3595, 272, 3812])).
% 27.30/17.85 tff(3814,plain,
% 27.30/17.85 (~v110(constB28)),
% 27.30/17.85 inference(unit_resolution,[status(thm)],[3672, 3762])).
% 27.30/17.85 tff(3815,plain,
% 27.30/17.85 (~v108(constB27)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3646, 3814])).
% 27.30/17.86 tff(3816,plain,
% 27.30/17.86 (~v112(constB27)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3635, 340, 3815])).
% 27.30/17.86 tff(3817,plain,
% 27.30/17.86 (~v113(constB27)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3628, 3816])).
% 27.30/17.86 tff(3818,plain,
% 27.30/17.86 (~v114(constB27)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3616, 314, 3817])).
% 27.30/17.86 tff(3819,plain,
% 27.30/17.86 (~v115(constB27)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3609, 300, 3818])).
% 27.30/17.86 tff(3820,plain,
% 27.30/17.86 ($false),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3602, 286, 3819, 3813])).
% 27.30/17.86 tff(3821,plain,(v100(constB28) | v90(constB27, 2) | v90(constB28, 1) | v90(constB28, 0)), inference(lemma,lemma(discharge,[]))).
% 27.30/17.86 tff(3822,plain,
% 27.30/17.86 (v90(constB28, 1)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3821, 3762, 3723, 3722])).
% 27.30/17.86 tff(3823,plain,
% 27.30/17.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB28, 1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB28, 1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 1))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3824,plain,
% 27.30/17.86 (((~nextState(constB28, constB29)) | (~v90(constB28, 1)) | v100(constB29) | v90(constB29, 1)) <=> ((~v90(constB28, 1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 1))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3825,plain,
% 27.30/17.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, 1)) | v100(constB29) | v90(constB29, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB28, 1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 1)))),
% 27.30/17.86 inference(monotonicity,[status(thm)],[3824])).
% 27.30/17.86 tff(3826,plain,
% 27.30/17.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, 1)) | v100(constB29) | v90(constB29, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB28, 1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 1))),
% 27.30/17.86 inference(transitivity,[status(thm)],[3825, 3823])).
% 27.30/17.86 tff(3827,plain,
% 27.30/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, 1)) | v100(constB29) | v90(constB29, 1))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(3828,plain,
% 27.30/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB28, 1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 1)),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3827, 3826])).
% 27.30/17.86 tff(3829,plain,
% 27.30/17.86 ((~v90(constB28, 1)) | v100(constB29) | v90(constB29, 1)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3828, 903, 3729])).
% 27.30/17.86 tff(3830,plain,
% 27.30/17.86 ((~v90(constB28, 1)) | v90(constB29, 1)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3829, 3741])).
% 27.30/17.86 tff(3831,plain,
% 27.30/17.86 (v90(constB29, 1)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3830, 3822])).
% 27.30/17.86 tff(3832,assumption,(v90(constB29, 1)), introduced(assumption)).
% 27.30/17.86 tff(3833,assumption,(~v90(constB29, 2)), introduced(assumption)).
% 27.30/17.86 tff(3834,assumption,(~v122(constB29)), introduced(assumption)).
% 27.30/17.86 tff(3835,plain,
% 27.30/17.86 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB29, 0)) | (~v90(constB29, 1)) | v90(constB29, 2) | v122(constB29))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB29, 0)) | (~v90(constB29, 1)) | v90(constB29, 2) | v122(constB29))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3836,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB29, 0)) | (~v90(constB29, 1)) | v90(constB29, 2) | v122(constB29))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(3837,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB29, 0)) | (~v90(constB29, 1)) | v90(constB29, 2) | v122(constB29)),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3836, 3835])).
% 27.30/17.86 tff(3838,plain,
% 27.30/17.86 ((~v90(constB29, 0)) | (~v90(constB29, 1)) | v90(constB29, 2)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3837, 1260, 3834])).
% 27.30/17.86 tff(3839,plain,
% 27.30/17.86 (~v90(constB29, 0)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3838, 3833, 3832])).
% 27.30/17.86 tff(3840,plain,
% 27.30/17.86 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB29, 0) | (~v90(constB29, 1)) | v90(constB29, 2) | v121(constB29))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB29, 0) | (~v90(constB29, 1)) | v90(constB29, 2) | v121(constB29))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3841,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB29, 0) | (~v90(constB29, 1)) | v90(constB29, 2) | v121(constB29))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(3842,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB29, 0) | (~v90(constB29, 1)) | v90(constB29, 2) | v121(constB29)),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3841, 3840])).
% 27.30/17.86 tff(3843,plain,
% 27.30/17.86 (v90(constB29, 0) | (~v90(constB29, 1)) | v90(constB29, 2)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3842, 993, 3721])).
% 27.30/17.86 tff(3844,plain,
% 27.30/17.86 ($false),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3843, 3839, 3833, 3832])).
% 27.30/17.86 tff(3845,plain,(v90(constB29, 2) | (~v90(constB29, 1)) | v121(constB29) | v122(constB29)), inference(lemma,lemma(discharge,[]))).
% 27.30/17.86 tff(3846,plain,
% 27.30/17.86 ($false),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3845, 3831, 3779, 3721, 3761])).
% 27.30/17.86 tff(3847,plain,(v100(constB28) | v121(constB29) | v90(constB27, 2) | v90(constB28, 0)), inference(lemma,lemma(discharge,[]))).
% 27.30/17.86 tff(3848,plain,
% 27.30/17.86 (v100(constB28)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3847, 3723, 3722, 3721])).
% 27.30/17.86 tff(3849,assumption,(v90(constB28, 1)), introduced(assumption)).
% 27.30/17.86 tff(3850,plain,
% 27.30/17.86 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB28, 1)) | v129(constB28, 1) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB28, 1)) | v129(constB28, 1) | (~v100(constB28)))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3851,plain,
% 27.30/17.86 (((~v90(constB28, 1)) | (~v100(constB28)) | v129(constB28, 1)) <=> ((~v90(constB28, 1)) | v129(constB28, 1) | (~v100(constB28)))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3852,plain,
% 27.30/17.86 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB28, 1)) | (~v100(constB28)) | v129(constB28, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB28, 1)) | v129(constB28, 1) | (~v100(constB28))))),
% 27.30/17.86 inference(monotonicity,[status(thm)],[3851])).
% 27.30/17.86 tff(3853,plain,
% 27.30/17.86 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB28, 1)) | (~v100(constB28)) | v129(constB28, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB28, 1)) | v129(constB28, 1) | (~v100(constB28)))),
% 27.30/17.86 inference(transitivity,[status(thm)],[3852, 3850])).
% 27.30/17.86 tff(3854,plain,
% 27.30/17.86 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB28, 1)) | (~v100(constB28)) | v129(constB28, 1))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(3855,plain,
% 27.30/17.86 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB28, 1)) | v129(constB28, 1) | (~v100(constB28))),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3854, 3853])).
% 27.30/17.86 tff(3856,plain,
% 27.30/17.86 (v129(constB28, 1) | (~v100(constB28))),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3855, 574, 3849])).
% 27.30/17.86 tff(3857,plain,
% 27.30/17.86 (v129(constB28, 1)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3856, 3848])).
% 27.30/17.86 tff(3858,plain,
% 27.30/17.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB27, constB28)) | v127(constB27, 1) | (~v129(constB28, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB27, constB28)) | v127(constB27, 1) | (~v129(constB28, 1)))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3859,plain,
% 27.30/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB27, constB28)) | v127(constB27, 1) | (~v129(constB28, 1)))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(3860,plain,
% 27.30/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB27, constB28)) | v127(constB27, 1) | (~v129(constB28, 1))),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3859, 3858])).
% 27.30/17.86 tff(3861,plain,
% 27.30/17.86 (v127(constB27, 1) | (~v129(constB28, 1))),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3860, 559, 3639])).
% 27.30/17.86 tff(3862,plain,
% 27.30/17.86 (v127(constB27, 1)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3861, 3857])).
% 27.30/17.86 tff(3863,plain,
% 27.30/17.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB27, 1)) | v26(constB27) | v130(constB27, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB27, 1)) | v26(constB27) | v130(constB27, 1))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3864,plain,
% 27.30/17.86 ((v26(constB27) | v130(constB27, 1) | (~v127(constB27, 1))) <=> ((~v127(constB27, 1)) | v26(constB27) | v130(constB27, 1))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3865,plain,
% 27.30/17.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB27) | v130(constB27, 1) | (~v127(constB27, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB27, 1)) | v26(constB27) | v130(constB27, 1)))),
% 27.30/17.86 inference(monotonicity,[status(thm)],[3864])).
% 27.30/17.86 tff(3866,plain,
% 27.30/17.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB27) | v130(constB27, 1) | (~v127(constB27, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB27, 1)) | v26(constB27) | v130(constB27, 1))),
% 27.30/17.86 inference(transitivity,[status(thm)],[3865, 3863])).
% 27.30/17.86 tff(3867,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB27) | v130(constB27, 1) | (~v127(constB27, 1)))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(3868,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB27, 1)) | v26(constB27) | v130(constB27, 1)),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3867, 3866])).
% 27.30/17.86 tff(3869,plain,
% 27.30/17.86 ((~v127(constB27, 1)) | v130(constB27, 1)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3868, 541, 3621])).
% 27.30/17.86 tff(3870,plain,
% 27.30/17.86 (v130(constB27, 1)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3869, 3862])).
% 27.30/17.86 tff(3871,plain,
% 27.30/17.86 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB27)) | (~v130(constB27, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB27)) | (~v130(constB27, 1)))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3872,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB27)) | (~v130(constB27, 1)))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(3873,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB27)) | (~v130(constB27, 1))),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3872, 3871])).
% 27.30/17.86 tff(3874,plain,
% 27.30/17.86 (~v123(constB27)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3873, 1712, 3870])).
% 27.30/17.86 tff(3875,plain,
% 27.30/17.86 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB27)) | (~v130(constB27, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB27)) | (~v130(constB27, 1)))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3876,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB27)) | (~v130(constB27, 1)))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(3877,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB27)) | (~v130(constB27, 1))),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3876, 3875])).
% 27.30/17.86 tff(3878,plain,
% 27.30/17.86 (~v122(constB27)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3877, 1424, 3870])).
% 27.30/17.86 tff(3879,assumption,(~v90(constB28, 2)), introduced(assumption)).
% 27.30/17.86 tff(3880,assumption,(v90(constB27, 2)), introduced(assumption)).
% 27.30/17.86 tff(3881,plain,
% 27.30/17.86 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v90(VarCurr, 2))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, 2))))),
% 27.30/17.86 inference(bind,[status(th)],[])).
% 27.30/17.86 tff(3882,plain,
% 27.30/17.86 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))),
% 27.30/17.86 inference(quant_intro,[status(thm)],[3881])).
% 27.30/17.86 tff(3883,plain,
% 27.30/17.86 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3884,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_2')).
% 27.30/17.86 tff(3885,plain,
% 27.30/17.86 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3884, 3883])).
% 27.30/17.86 tff(3886,plain,(
% 27.30/17.86 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))),
% 27.30/17.86 inference(skolemize,[status(sab)],[3885])).
% 27.30/17.86 tff(3887,plain,
% 27.30/17.86 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3886, 3882])).
% 27.30/17.86 tff(3888,plain,
% 27.30/17.86 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB27)) | (~v90(constB27, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB27)) | (~v90(constB27, 2)))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3889,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB27)) | (~v90(constB27, 2)))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(3890,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB27)) | (~v90(constB27, 2))),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3889, 3888])).
% 27.30/17.86 tff(3891,plain,
% 27.30/17.86 (~v119(constB27)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3890, 3887, 3880])).
% 27.30/17.86 tff(3892,plain,
% 27.30/17.86 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v90(VarCurr, 2))) <=> ((~v120(VarCurr)) | (~v90(VarCurr, 2))))),
% 27.30/17.86 inference(bind,[status(th)],[])).
% 27.30/17.86 tff(3893,plain,
% 27.30/17.86 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))),
% 27.30/17.86 inference(quant_intro,[status(thm)],[3892])).
% 27.30/17.86 tff(3894,plain,
% 27.30/17.86 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3895,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_3')).
% 27.30/17.86 tff(3896,plain,
% 27.30/17.86 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3895, 3894])).
% 27.30/17.86 tff(3897,plain,(
% 27.30/17.86 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))),
% 27.30/17.86 inference(skolemize,[status(sab)],[3896])).
% 27.30/17.86 tff(3898,plain,
% 27.30/17.86 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3897, 3893])).
% 27.30/17.86 tff(3899,plain,
% 27.30/17.86 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB27)) | (~v90(constB27, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB27)) | (~v90(constB27, 2)))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3900,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB27)) | (~v90(constB27, 2)))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(3901,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB27)) | (~v90(constB27, 2))),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3900, 3899])).
% 27.30/17.86 tff(3902,plain,
% 27.30/17.86 (~v120(constB27)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3901, 3898, 3880])).
% 27.30/17.86 tff(3903,plain,
% 27.30/17.86 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB27)) | (~v90(constB27, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB27)) | (~v90(constB27, 2)))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3904,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB27)) | (~v90(constB27, 2)))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(3905,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB27)) | (~v90(constB27, 2))),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3904, 3903])).
% 27.30/17.86 tff(3906,plain,
% 27.30/17.86 (~v121(constB27)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3905, 2130, 3880])).
% 27.30/17.86 tff(3907,plain,
% 27.30/17.86 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB27)) | (~v90(constB27, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB27)) | (~v90(constB27, 2)))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3908,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB27)) | (~v90(constB27, 2)))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(3909,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB27)) | (~v90(constB27, 2))),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3908, 3907])).
% 27.30/17.86 tff(3910,plain,
% 27.30/17.86 (~v122(constB27)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3909, 2119, 3880])).
% 27.30/17.86 tff(3911,plain,
% 27.30/17.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB27, 2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB27, 2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 2))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3912,plain,
% 27.30/17.86 (((~nextState(constB27, constB28)) | (~v90(constB27, 2)) | v100(constB28) | v90(constB28, 2)) <=> ((~v90(constB27, 2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 2))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3913,plain,
% 27.30/17.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB27, constB28)) | (~v90(constB27, 2)) | v100(constB28) | v90(constB28, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB27, 2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 2)))),
% 27.30/17.86 inference(monotonicity,[status(thm)],[3912])).
% 27.30/17.86 tff(3914,plain,
% 27.30/17.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB27, constB28)) | (~v90(constB27, 2)) | v100(constB28) | v90(constB28, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB27, 2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 2))),
% 27.30/17.86 inference(transitivity,[status(thm)],[3913, 3911])).
% 27.30/17.86 tff(3915,plain,
% 27.30/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB27, constB28)) | (~v90(constB27, 2)) | v100(constB28) | v90(constB28, 2))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(3916,plain,
% 27.30/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB27, 2)) | (~nextState(constB27, constB28)) | v100(constB28) | v90(constB28, 2)),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3915, 3914])).
% 27.30/17.86 tff(3917,plain,
% 27.30/17.86 ((~v90(constB27, 2)) | v100(constB28) | v90(constB28, 2)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3916, 1546, 3639])).
% 27.30/17.86 tff(3918,plain,
% 27.30/17.86 (v100(constB28)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3917, 3880, 3879])).
% 27.30/17.86 tff(3919,plain,
% 27.30/17.86 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB28, 2) | (~v129(constB28, 2)) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB28, 2) | (~v129(constB28, 2)) | (~v100(constB28)))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3920,plain,
% 27.30/17.86 ((v90(constB28, 2) | (~v100(constB28)) | (~v129(constB28, 2))) <=> (v90(constB28, 2) | (~v129(constB28, 2)) | (~v100(constB28)))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3921,plain,
% 27.30/17.86 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB28, 2) | (~v100(constB28)) | (~v129(constB28, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB28, 2) | (~v129(constB28, 2)) | (~v100(constB28))))),
% 27.30/17.86 inference(monotonicity,[status(thm)],[3920])).
% 27.30/17.86 tff(3922,plain,
% 27.30/17.86 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB28, 2) | (~v100(constB28)) | (~v129(constB28, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB28, 2) | (~v129(constB28, 2)) | (~v100(constB28)))),
% 27.30/17.86 inference(transitivity,[status(thm)],[3921, 3919])).
% 27.30/17.86 tff(3923,plain,
% 27.30/17.86 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB28, 2) | (~v100(constB28)) | (~v129(constB28, 2)))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(3924,plain,
% 27.30/17.86 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB28, 2) | (~v129(constB28, 2)) | (~v100(constB28))),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3923, 3922])).
% 27.30/17.86 tff(3925,plain,
% 27.30/17.86 ((~v129(constB28, 2)) | (~v100(constB28))),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3924, 1528, 3879])).
% 27.30/17.86 tff(3926,plain,
% 27.30/17.86 (~v129(constB28, 2)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3925, 3918])).
% 27.30/17.86 tff(3927,plain,
% 27.30/17.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB27, constB28)) | (~v127(constB27, 2)) | v129(constB28, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB27, constB28)) | (~v127(constB27, 2)) | v129(constB28, 2))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3928,plain,
% 27.30/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB27, constB28)) | (~v127(constB27, 2)) | v129(constB28, 2))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(3929,plain,
% 27.30/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB27, constB28)) | (~v127(constB27, 2)) | v129(constB28, 2)),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3928, 3927])).
% 27.30/17.86 tff(3930,plain,
% 27.30/17.86 ((~v127(constB27, 2)) | v129(constB28, 2)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3929, 1513, 3639])).
% 27.30/17.86 tff(3931,plain,
% 27.30/17.86 (~v127(constB27, 2)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3930, 3926])).
% 27.30/17.86 tff(3932,plain,
% 27.30/17.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB27) | (~v130(constB27, 2)) | v127(constB27, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB27) | (~v130(constB27, 2)) | v127(constB27, 2))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3933,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB27) | (~v130(constB27, 2)) | v127(constB27, 2))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(3934,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB27) | (~v130(constB27, 2)) | v127(constB27, 2)),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3933, 3932])).
% 27.30/17.86 tff(3935,plain,
% 27.30/17.86 ((~v130(constB27, 2)) | v127(constB27, 2)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3934, 1498, 3621])).
% 27.30/17.86 tff(3936,plain,
% 27.30/17.86 (~v130(constB27, 2)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3935, 3931])).
% 27.30/17.86 tff(3937,plain,
% 27.30/17.86 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB27)) | v130(constB27, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB27)) | v130(constB27, 2))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3938,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB27)) | v130(constB27, 2))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(3939,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB27)) | v130(constB27, 2)),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3938, 3937])).
% 27.30/17.86 tff(3940,plain,
% 27.30/17.86 (~v123(constB27)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3939, 1656, 3936])).
% 27.30/17.86 tff(3941,plain,
% 27.30/17.86 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB27)) | v130(constB27, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB27)) | v130(constB27, 2))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3942,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB27)) | v130(constB27, 2))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(3943,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB27)) | v130(constB27, 2)),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3942, 3941])).
% 27.30/17.86 tff(3944,plain,
% 27.30/17.86 (~v124(constB27)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3943, 1873, 3936])).
% 27.30/17.86 tff(3945,plain,
% 27.30/17.86 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB28, 0) | (~v129(constB28, 0)) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB28, 0) | (~v129(constB28, 0)) | (~v100(constB28)))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3946,plain,
% 27.30/17.86 ((v90(constB28, 0) | (~v100(constB28)) | (~v129(constB28, 0))) <=> (v90(constB28, 0) | (~v129(constB28, 0)) | (~v100(constB28)))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3947,plain,
% 27.30/17.86 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB28, 0) | (~v100(constB28)) | (~v129(constB28, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB28, 0) | (~v129(constB28, 0)) | (~v100(constB28))))),
% 27.30/17.86 inference(monotonicity,[status(thm)],[3946])).
% 27.30/17.86 tff(3948,plain,
% 27.30/17.86 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB28, 0) | (~v100(constB28)) | (~v129(constB28, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB28, 0) | (~v129(constB28, 0)) | (~v100(constB28)))),
% 27.30/17.86 inference(transitivity,[status(thm)],[3947, 3945])).
% 27.30/17.86 tff(3949,plain,
% 27.30/17.86 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB28, 0) | (~v100(constB28)) | (~v129(constB28, 0)))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(3950,plain,
% 27.30/17.86 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB28, 0) | (~v129(constB28, 0)) | (~v100(constB28))),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3949, 3948])).
% 27.30/17.86 tff(3951,plain,
% 27.30/17.86 ((~v129(constB28, 0)) | (~v100(constB28))),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3950, 642, 3722])).
% 27.30/17.86 tff(3952,plain,
% 27.30/17.86 (~v129(constB28, 0)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3951, 3918])).
% 27.30/17.86 tff(3953,plain,
% 27.30/17.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB27, constB28)) | (~v127(constB27, 0)) | v129(constB28, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB27, constB28)) | (~v127(constB27, 0)) | v129(constB28, 0))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3954,plain,
% 27.30/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB27, constB28)) | (~v127(constB27, 0)) | v129(constB28, 0))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(3955,plain,
% 27.30/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB27, constB28)) | (~v127(constB27, 0)) | v129(constB28, 0)),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3954, 3953])).
% 27.30/17.86 tff(3956,plain,
% 27.30/17.86 ((~v127(constB27, 0)) | v129(constB28, 0)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3955, 627, 3639])).
% 27.30/17.86 tff(3957,plain,
% 27.30/17.86 (~v127(constB27, 0)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3956, 3952])).
% 27.30/17.86 tff(3958,plain,
% 27.30/17.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB27) | (~v130(constB27, 0)) | v127(constB27, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB27) | (~v130(constB27, 0)) | v127(constB27, 0))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3959,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB27) | (~v130(constB27, 0)) | v127(constB27, 0))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(3960,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB27) | (~v130(constB27, 0)) | v127(constB27, 0)),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3959, 3958])).
% 27.30/17.86 tff(3961,plain,
% 27.30/17.86 ((~v130(constB27, 0)) | v127(constB27, 0)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3960, 612, 3621])).
% 27.30/17.86 tff(3962,plain,
% 27.30/17.86 (~v130(constB27, 0)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3961, 3957])).
% 27.30/17.86 tff(3963,plain,
% 27.30/17.86 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | v130(constB27, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | v130(constB27, 0))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3964,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | v130(constB27, 0))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(3965,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | v130(constB27, 0)),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3964, 3963])).
% 27.30/17.86 tff(3966,plain,
% 27.30/17.86 ($false),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3965, 2258, 3962, 3944, 3940, 3910, 3906, 3902, 3891])).
% 27.30/17.86 tff(3967,plain,((~v90(constB27, 2)) | v90(constB28, 0) | v90(constB28, 2)), inference(lemma,lemma(discharge,[]))).
% 27.30/17.86 tff(3968,plain,
% 27.30/17.86 (~v90(constB27, 2)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3967, 3722, 3879])).
% 27.30/17.86 tff(3969,plain,
% 27.30/17.86 (v100(constB28)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3821, 3788, 3968, 3722])).
% 27.30/17.86 tff(3970,plain,
% 27.30/17.86 (~v129(constB28, 0)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3951, 3969])).
% 27.30/17.86 tff(3971,plain,
% 27.30/17.86 (~v127(constB27, 0)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3956, 3970])).
% 27.30/17.86 tff(3972,plain,
% 27.30/17.86 (~v130(constB27, 0)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3961, 3971])).
% 27.30/17.86 tff(3973,plain,
% 27.30/17.86 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB27)) | v130(constB27, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB27)) | v130(constB27, 0))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3974,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB27)) | v130(constB27, 0))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(3975,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB27)) | v130(constB27, 0)),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3974, 3973])).
% 27.30/17.86 tff(3976,plain,
% 27.30/17.86 (~v119(constB27)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3975, 598, 3972])).
% 27.30/17.86 tff(3977,plain,
% 27.30/17.86 ((~v129(constB28, 1)) | (~v100(constB28))),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3718, 885, 3788])).
% 27.30/17.86 tff(3978,plain,
% 27.30/17.86 (~v129(constB28, 1)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3977, 3969])).
% 27.30/17.86 tff(3979,plain,
% 27.30/17.86 (~v127(constB27, 1)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3711, 3978])).
% 27.30/17.86 tff(3980,plain,
% 27.30/17.86 (~v130(constB27, 1)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3706, 3979])).
% 27.30/17.86 tff(3981,plain,
% 27.30/17.86 (~v120(constB27)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3701, 841, 3980])).
% 27.30/17.86 tff(3982,plain,
% 27.30/17.86 (~v129(constB28, 2)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3925, 3969])).
% 27.30/17.86 tff(3983,plain,
% 27.30/17.86 (~v127(constB27, 2)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3930, 3982])).
% 27.30/17.86 tff(3984,plain,
% 27.30/17.86 (~v130(constB27, 2)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3935, 3983])).
% 27.30/17.86 tff(3985,plain,
% 27.30/17.86 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB27)) | v130(constB27, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB27)) | v130(constB27, 2))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3986,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB27)) | v130(constB27, 2))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(3987,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB27)) | v130(constB27, 2)),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3986, 3985])).
% 27.30/17.86 tff(3988,plain,
% 27.30/17.86 (~v122(constB27)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3987, 1484, 3984])).
% 27.30/17.86 tff(3989,plain,
% 27.30/17.86 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB27)) | v130(constB27, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB27)) | v130(constB27, 0))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3990,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB27)) | v130(constB27, 0))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(3991,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB27)) | v130(constB27, 0)),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3990, 3989])).
% 27.30/17.86 tff(3992,plain,
% 27.30/17.86 (~v121(constB27)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3991, 1099, 3972])).
% 27.30/17.86 tff(3993,plain,
% 27.30/17.86 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | v90(VarCurr, 2)) <=> ((~v123(VarCurr)) | v90(VarCurr, 2)))),
% 27.30/17.86 inference(bind,[status(th)],[])).
% 27.30/17.86 tff(3994,plain,
% 27.30/17.86 (![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))),
% 27.30/17.86 inference(quant_intro,[status(thm)],[3993])).
% 27.30/17.86 tff(3995,plain,
% 27.30/17.86 (![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(3996,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_2')).
% 27.30/17.86 tff(3997,plain,
% 27.30/17.86 (![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3996, 3995])).
% 27.30/17.86 tff(3998,plain,(
% 27.30/17.86 ![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))),
% 27.30/17.86 inference(skolemize,[status(sab)],[3997])).
% 27.30/17.86 tff(3999,plain,
% 27.30/17.86 (![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[3998, 3994])).
% 27.30/17.86 tff(4000,plain,
% 27.30/17.86 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB27)) | v90(constB27, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB27)) | v90(constB27, 2))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(4001,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB27)) | v90(constB27, 2))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(4002,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB27)) | v90(constB27, 2)),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[4001, 4000])).
% 27.30/17.86 tff(4003,plain,
% 27.30/17.86 (~v123(constB27)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[4002, 3999, 3968])).
% 27.30/17.86 tff(4004,plain,
% 27.30/17.86 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v90(VarCurr, 2)) <=> ((~v124(VarCurr)) | v90(VarCurr, 2)))),
% 27.30/17.86 inference(bind,[status(th)],[])).
% 27.30/17.86 tff(4005,plain,
% 27.30/17.86 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))),
% 27.30/17.86 inference(quant_intro,[status(thm)],[4004])).
% 27.30/17.86 tff(4006,plain,
% 27.30/17.86 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(4007,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_2')).
% 27.30/17.86 tff(4008,plain,
% 27.30/17.86 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[4007, 4006])).
% 27.30/17.86 tff(4009,plain,(
% 27.30/17.86 ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))),
% 27.30/17.86 inference(skolemize,[status(sab)],[4008])).
% 27.30/17.86 tff(4010,plain,
% 27.30/17.86 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[4009, 4005])).
% 27.30/17.86 tff(4011,plain,
% 27.30/17.86 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB27)) | v90(constB27, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB27)) | v90(constB27, 2))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(4012,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB27)) | v90(constB27, 2))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(4013,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB27)) | v90(constB27, 2)),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[4012, 4011])).
% 27.30/17.86 tff(4014,plain,
% 27.30/17.86 (~v124(constB27)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[4013, 4010, 3968])).
% 27.30/17.86 tff(4015,plain,
% 27.30/17.86 (v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v130(constB27, 0)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3965, 2258, 4014, 4003])).
% 27.30/17.86 tff(4016,plain,
% 27.30/17.86 ($false),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[4015, 3992, 3988, 3972, 3981, 3976])).
% 27.30/17.86 tff(4017,plain,(v90(constB28, 1) | v90(constB28, 0) | v90(constB28, 2)), inference(lemma,lemma(discharge,[]))).
% 27.30/17.86 tff(4018,plain,
% 27.30/17.86 (v90(constB28, 1)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[4017, 3879, 3722])).
% 27.30/17.86 tff(4019,plain,
% 27.30/17.86 (~v90(constB29, 2)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3778, 3879])).
% 27.30/17.86 tff(4020,plain,
% 27.30/17.86 (~v90(constB29, 1)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3845, 4019, 3721, 3761])).
% 27.30/17.86 tff(4021,plain,
% 27.30/17.86 ($false),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3830, 4020, 4018])).
% 27.30/17.86 tff(4022,plain,(v90(constB28, 2) | v121(constB29) | v90(constB28, 0)), inference(lemma,lemma(discharge,[]))).
% 27.30/17.86 tff(4023,plain,
% 27.30/17.86 (v90(constB28, 2)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[4022, 3722, 3721])).
% 27.30/17.86 tff(4024,plain,
% 27.30/17.86 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB28, 2)) | v129(constB28, 2) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB28, 2)) | v129(constB28, 2) | (~v100(constB28)))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(4025,plain,
% 27.30/17.86 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB28, 2)) | v129(constB28, 2) | (~v100(constB28)))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(4026,plain,
% 27.30/17.86 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB28, 2)) | v129(constB28, 2) | (~v100(constB28))),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[4025, 4024])).
% 27.30/17.86 tff(4027,plain,
% 27.30/17.86 (v129(constB28, 2) | (~v100(constB28))),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[4026, 488, 4023])).
% 27.30/17.86 tff(4028,plain,
% 27.30/17.86 (v129(constB28, 2)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[4027, 3848])).
% 27.30/17.86 tff(4029,plain,
% 27.30/17.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB27, constB28)) | v127(constB27, 2) | (~v129(constB28, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB27, constB28)) | v127(constB27, 2) | (~v129(constB28, 2)))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(4030,plain,
% 27.30/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB27, constB28)) | v127(constB27, 2) | (~v129(constB28, 2)))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(4031,plain,
% 27.30/17.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB27, constB28)) | v127(constB27, 2) | (~v129(constB28, 2))),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[4030, 4029])).
% 27.30/17.86 tff(4032,plain,
% 27.30/17.86 (v127(constB27, 2) | (~v129(constB28, 2))),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[4031, 473, 3639])).
% 27.30/17.86 tff(4033,plain,
% 27.30/17.86 (v127(constB27, 2)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[4032, 4028])).
% 27.30/17.86 tff(4034,plain,
% 27.30/17.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB27, 2)) | v26(constB27) | v130(constB27, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB27, 2)) | v26(constB27) | v130(constB27, 2))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(4035,plain,
% 27.30/17.86 ((v26(constB27) | v130(constB27, 2) | (~v127(constB27, 2))) <=> ((~v127(constB27, 2)) | v26(constB27) | v130(constB27, 2))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(4036,plain,
% 27.30/17.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB27) | v130(constB27, 2) | (~v127(constB27, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB27, 2)) | v26(constB27) | v130(constB27, 2)))),
% 27.30/17.86 inference(monotonicity,[status(thm)],[4035])).
% 27.30/17.86 tff(4037,plain,
% 27.30/17.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB27) | v130(constB27, 2) | (~v127(constB27, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB27, 2)) | v26(constB27) | v130(constB27, 2))),
% 27.30/17.86 inference(transitivity,[status(thm)],[4036, 4034])).
% 27.30/17.86 tff(4038,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB27) | v130(constB27, 2) | (~v127(constB27, 2)))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(4039,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB27, 2)) | v26(constB27) | v130(constB27, 2)),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[4038, 4037])).
% 27.30/17.86 tff(4040,plain,
% 27.30/17.86 ((~v127(constB27, 2)) | v130(constB27, 2)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[4039, 455, 3621])).
% 27.30/17.86 tff(4041,plain,
% 27.30/17.86 (v130(constB27, 2)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[4040, 4033])).
% 27.30/17.86 tff(4042,plain,
% 27.30/17.86 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB27)) | (~v130(constB27, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB27)) | (~v130(constB27, 2)))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(4043,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB27)) | (~v130(constB27, 2)))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(4044,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB27)) | (~v130(constB27, 2))),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[4043, 4042])).
% 27.30/17.86 tff(4045,plain,
% 27.30/17.86 (~v121(constB27)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[4044, 1155, 4041])).
% 27.30/17.86 tff(4046,plain,
% 27.30/17.86 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB27)) | (~v130(constB27, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB27)) | (~v130(constB27, 2)))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(4047,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB27)) | (~v130(constB27, 2)))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(4048,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB27)) | (~v130(constB27, 2))),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[4047, 4046])).
% 27.30/17.86 tff(4049,plain,
% 27.30/17.86 (~v120(constB27)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[4048, 785, 4041])).
% 27.30/17.86 tff(4050,plain,
% 27.30/17.86 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB27)) | (~v130(constB27, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB27)) | (~v130(constB27, 2)))),
% 27.30/17.86 inference(rewrite,[status(thm)],[])).
% 27.30/17.86 tff(4051,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB27)) | (~v130(constB27, 2)))),
% 27.30/17.86 inference(quant_inst,[status(thm)],[])).
% 27.30/17.86 tff(4052,plain,
% 27.30/17.86 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB27)) | (~v130(constB27, 2))),
% 27.30/17.86 inference(modus_ponens,[status(thm)],[4051, 4050])).
% 27.30/17.86 tff(4053,plain,
% 27.30/17.86 (~v119(constB27)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[4052, 441, 4041])).
% 27.30/17.86 tff(4054,plain,
% 27.30/17.86 (~v129(constB28, 0)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3951, 3848])).
% 27.30/17.86 tff(4055,plain,
% 27.30/17.86 (~v127(constB27, 0)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3956, 4054])).
% 27.30/17.86 tff(4056,plain,
% 27.30/17.86 (~v130(constB27, 0)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3961, 4055])).
% 27.30/17.86 tff(4057,plain,
% 27.30/17.86 (v124(constB27)),
% 27.30/17.86 inference(unit_resolution,[status(thm)],[3965, 2258, 4056, 4053, 4049, 4045, 3878, 3874])).
% 27.30/17.86 tff(4058,plain,
% 27.30/17.86 ($false),
% 27.30/17.87 inference(unit_resolution,[status(thm)],[4013, 4010, 3723, 4057])).
% 27.30/17.87 tff(4059,plain,(v90(constB27, 2) | v90(constB28, 0) | (~v90(constB28, 1)) | v121(constB29)), inference(lemma,lemma(discharge,[]))).
% 27.30/17.87 tff(4060,plain,
% 27.30/17.87 (v121(constB29)),
% 27.30/17.87 inference(unit_resolution,[status(thm)],[4059, 3720, 3501, 3698])).
% 27.30/17.87 tff(4061,plain,
% 27.30/17.87 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB29) | (~v121(constB29)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB29) | (~v121(constB29)))),
% 27.30/17.87 inference(rewrite,[status(thm)],[])).
% 27.30/17.87 tff(4062,plain,
% 27.30/17.87 (((~v121(constB29)) | v117(constB29)) <=> (v117(constB29) | (~v121(constB29)))),
% 27.30/17.87 inference(rewrite,[status(thm)],[])).
% 27.30/17.87 tff(4063,plain,
% 27.30/17.87 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB29)) | v117(constB29))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB29) | (~v121(constB29))))),
% 27.30/17.87 inference(monotonicity,[status(thm)],[4062])).
% 27.30/17.87 tff(4064,plain,
% 27.30/17.87 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB29)) | v117(constB29))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB29) | (~v121(constB29)))),
% 27.30/17.87 inference(transitivity,[status(thm)],[4063, 4061])).
% 27.30/17.87 tff(4065,plain,
% 27.30/17.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB29)) | v117(constB29))),
% 27.30/17.87 inference(quant_inst,[status(thm)],[])).
% 27.30/17.87 tff(4066,plain,
% 27.30/17.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB29) | (~v121(constB29))),
% 27.30/17.87 inference(modus_ponens,[status(thm)],[4065, 4064])).
% 27.30/17.87 tff(4067,plain,
% 27.30/17.87 (v117(constB29)),
% 27.30/17.87 inference(unit_resolution,[status(thm)],[4066, 1004, 4060])).
% 27.30/17.87 tff(4068,plain,
% 27.30/17.87 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB29) | (~v117(constB29)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB29) | (~v117(constB29)))),
% 27.30/17.87 inference(rewrite,[status(thm)],[])).
% 27.30/17.87 tff(4069,plain,
% 27.30/17.87 (((~v117(constB29)) | v116(constB29)) <=> (v116(constB29) | (~v117(constB29)))),
% 27.30/17.87 inference(rewrite,[status(thm)],[])).
% 27.30/17.87 tff(4070,plain,
% 27.30/17.87 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB29)) | v116(constB29))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB29) | (~v117(constB29))))),
% 27.30/17.87 inference(monotonicity,[status(thm)],[4069])).
% 27.30/17.87 tff(4071,plain,
% 27.30/17.87 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB29)) | v116(constB29))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB29) | (~v117(constB29)))),
% 27.30/17.87 inference(transitivity,[status(thm)],[4070, 4068])).
% 27.30/17.87 tff(4072,plain,
% 27.30/17.87 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB29)) | v116(constB29))),
% 27.30/17.87 inference(quant_inst,[status(thm)],[])).
% 27.30/17.87 tff(4073,plain,
% 27.30/17.87 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB29) | (~v117(constB29))),
% 27.30/17.87 inference(modus_ponens,[status(thm)],[4072, 4071])).
% 27.30/17.87 tff(4074,plain,
% 27.30/17.87 (v116(constB29)),
% 27.30/17.87 inference(unit_resolution,[status(thm)],[4073, 272, 4067])).
% 27.30/17.87 tff(4075,plain,
% 27.30/17.87 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB29) | (~v116(constB29)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB29) | (~v116(constB29)))),
% 27.30/17.87 inference(rewrite,[status(thm)],[])).
% 27.30/17.87 tff(4076,plain,
% 27.30/17.87 (((~v116(constB29)) | v115(constB29)) <=> (v115(constB29) | (~v116(constB29)))),
% 27.30/17.87 inference(rewrite,[status(thm)],[])).
% 27.30/17.87 tff(4077,plain,
% 27.30/17.87 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB29)) | v115(constB29))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB29) | (~v116(constB29))))),
% 27.30/17.87 inference(monotonicity,[status(thm)],[4076])).
% 27.30/17.87 tff(4078,plain,
% 27.30/17.87 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB29)) | v115(constB29))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB29) | (~v116(constB29)))),
% 27.30/17.87 inference(transitivity,[status(thm)],[4077, 4075])).
% 27.30/17.87 tff(4079,plain,
% 27.30/17.87 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB29)) | v115(constB29))),
% 27.30/17.87 inference(quant_inst,[status(thm)],[])).
% 27.30/17.87 tff(4080,plain,
% 27.30/17.87 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB29) | (~v116(constB29))),
% 27.30/17.87 inference(modus_ponens,[status(thm)],[4079, 4078])).
% 27.30/17.87 tff(4081,plain,
% 27.30/17.87 (v115(constB29)),
% 27.30/17.87 inference(unit_resolution,[status(thm)],[4080, 286, 4074])).
% 27.30/17.87 tff(4082,plain,
% 27.30/17.87 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB29) | (~v115(constB29)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB29) | (~v115(constB29)))),
% 27.30/17.87 inference(rewrite,[status(thm)],[])).
% 27.30/17.87 tff(4083,plain,
% 27.30/17.87 (((~v115(constB29)) | v114(constB29)) <=> (v114(constB29) | (~v115(constB29)))),
% 27.30/17.87 inference(rewrite,[status(thm)],[])).
% 27.30/17.87 tff(4084,plain,
% 27.30/17.87 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB29)) | v114(constB29))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB29) | (~v115(constB29))))),
% 27.30/17.87 inference(monotonicity,[status(thm)],[4083])).
% 27.30/17.87 tff(4085,plain,
% 27.30/17.87 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB29)) | v114(constB29))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB29) | (~v115(constB29)))),
% 27.30/17.87 inference(transitivity,[status(thm)],[4084, 4082])).
% 27.30/17.87 tff(4086,plain,
% 27.30/17.87 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB29)) | v114(constB29))),
% 27.30/17.87 inference(quant_inst,[status(thm)],[])).
% 27.30/17.87 tff(4087,plain,
% 27.30/17.87 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB29) | (~v115(constB29))),
% 27.30/17.87 inference(modus_ponens,[status(thm)],[4086, 4085])).
% 27.30/17.87 tff(4088,plain,
% 27.30/17.87 (v114(constB29)),
% 27.30/17.87 inference(unit_resolution,[status(thm)],[4087, 300, 4081])).
% 27.30/17.87 tff(4089,plain,
% 27.30/17.87 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB29) | (~v114(constB29)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB29) | (~v114(constB29)))),
% 27.30/17.87 inference(rewrite,[status(thm)],[])).
% 27.30/17.87 tff(4090,plain,
% 27.30/17.87 (((~v114(constB29)) | v113(constB29)) <=> (v113(constB29) | (~v114(constB29)))),
% 27.30/17.87 inference(rewrite,[status(thm)],[])).
% 27.30/17.87 tff(4091,plain,
% 27.30/17.87 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB29)) | v113(constB29))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB29) | (~v114(constB29))))),
% 27.30/17.87 inference(monotonicity,[status(thm)],[4090])).
% 27.30/17.87 tff(4092,plain,
% 27.30/17.87 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB29)) | v113(constB29))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB29) | (~v114(constB29)))),
% 27.30/17.87 inference(transitivity,[status(thm)],[4091, 4089])).
% 27.30/17.87 tff(4093,plain,
% 27.30/17.87 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB29)) | v113(constB29))),
% 27.30/17.87 inference(quant_inst,[status(thm)],[])).
% 27.30/17.87 tff(4094,plain,
% 27.30/17.87 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB29) | (~v114(constB29))),
% 27.30/17.87 inference(modus_ponens,[status(thm)],[4093, 4092])).
% 27.30/17.87 tff(4095,plain,
% 27.30/17.87 (v113(constB29)),
% 27.30/17.87 inference(unit_resolution,[status(thm)],[4094, 314, 4088])).
% 27.30/17.87 tff(4096,assumption,(v26(constB29)), introduced(assumption)).
% 27.30/17.87 tff(4097,plain,
% 27.30/17.87 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB29))),
% 27.30/17.87 inference(quant_inst,[status(thm)],[])).
% 27.30/17.87 tff(4098,plain,
% 27.30/17.87 ($false),
% 27.30/17.87 inference(unit_resolution,[status(thm)],[4097, 95, 4096])).
% 27.30/17.87 tff(4099,plain,(~v26(constB29)), inference(lemma,lemma(discharge,[]))).
% 27.30/17.87 tff(4100,plain,
% 27.30/17.87 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | v112(constB29) | (~v113(constB29)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | v112(constB29) | (~v113(constB29)))),
% 27.30/17.87 inference(rewrite,[status(thm)],[])).
% 27.30/17.87 tff(4101,plain,
% 27.30/17.87 ((v26(constB29) | (~v113(constB29)) | v112(constB29)) <=> (v26(constB29) | v112(constB29) | (~v113(constB29)))),
% 27.30/17.87 inference(rewrite,[status(thm)],[])).
% 27.30/17.87 tff(4102,plain,
% 27.30/17.87 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | v112(constB29) | (~v113(constB29))))),
% 27.30/17.87 inference(monotonicity,[status(thm)],[4101])).
% 27.30/17.87 tff(4103,plain,
% 27.30/17.87 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | v112(constB29) | (~v113(constB29)))),
% 27.30/17.87 inference(transitivity,[status(thm)],[4102, 4100])).
% 27.30/17.87 tff(4104,plain,
% 27.30/17.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))),
% 27.30/17.87 inference(quant_inst,[status(thm)],[])).
% 27.30/17.87 tff(4105,plain,
% 27.30/17.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | v112(constB29) | (~v113(constB29))),
% 27.30/17.87 inference(modus_ponens,[status(thm)],[4104, 4103])).
% 27.30/17.87 tff(4106,plain,
% 27.30/17.87 (v112(constB29) | (~v113(constB29))),
% 27.30/17.87 inference(unit_resolution,[status(thm)],[4105, 328, 4099])).
% 27.30/17.87 tff(4107,plain,
% 27.30/17.87 (v112(constB29)),
% 27.30/17.87 inference(unit_resolution,[status(thm)],[4106, 4095])).
% 27.30/17.87 tff(4108,plain,
% 27.30/17.87 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB29) | (~v112(constB29)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB29) | (~v112(constB29)))),
% 27.30/17.87 inference(rewrite,[status(thm)],[])).
% 27.30/17.87 tff(4109,plain,
% 27.30/17.87 (((~v112(constB29)) | v108(constB29)) <=> (v108(constB29) | (~v112(constB29)))),
% 27.30/17.87 inference(rewrite,[status(thm)],[])).
% 27.30/17.87 tff(4110,plain,
% 27.30/17.87 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB29)) | v108(constB29))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB29) | (~v112(constB29))))),
% 27.30/17.87 inference(monotonicity,[status(thm)],[4109])).
% 27.30/17.87 tff(4111,plain,
% 27.30/17.87 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB29)) | v108(constB29))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB29) | (~v112(constB29)))),
% 27.30/17.87 inference(transitivity,[status(thm)],[4110, 4108])).
% 27.30/17.87 tff(4112,plain,
% 27.30/17.87 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB29)) | v108(constB29))),
% 27.30/17.87 inference(quant_inst,[status(thm)],[])).
% 27.30/17.87 tff(4113,plain,
% 27.30/17.87 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB29) | (~v112(constB29))),
% 27.30/17.87 inference(modus_ponens,[status(thm)],[4112, 4111])).
% 27.30/17.87 tff(4114,plain,
% 27.30/17.87 (v108(constB29)),
% 27.30/17.87 inference(unit_resolution,[status(thm)],[4113, 340, 4107])).
% 27.30/17.87 tff(4115,plain,
% 27.30/17.87 (nextState(constB29, constB30) <=> nextState(constB29, constB30)),
% 27.30/17.87 inference(rewrite,[status(thm)],[])).
% 27.30/17.87 tff(4116,axiom,(nextState(constB29, constB30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_29_1')).
% 27.30/17.87 tff(4117,plain,
% 27.30/17.87 (nextState(constB29, constB30)),
% 27.30/17.87 inference(modus_ponens,[status(thm)],[4116, 4115])).
% 27.30/17.87 tff(4118,plain,
% 27.30/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 27.30/17.87 inference(rewrite,[status(thm)],[])).
% 27.30/17.87 tff(4119,plain,
% 27.30/17.87 (((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30)) <=> ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 27.30/17.87 inference(rewrite,[status(thm)],[])).
% 27.30/17.87 tff(4120,plain,
% 27.30/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29))))),
% 27.30/17.87 inference(monotonicity,[status(thm)],[4119])).
% 27.30/17.87 tff(4121,plain,
% 27.30/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 27.30/17.87 inference(transitivity,[status(thm)],[4120, 4118])).
% 27.30/17.87 tff(4122,plain,
% 27.30/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))),
% 27.30/17.87 inference(quant_inst,[status(thm)],[])).
% 27.30/17.87 tff(4123,plain,
% 27.30/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29))),
% 27.30/17.87 inference(modus_ponens,[status(thm)],[4122, 4121])).
% 27.30/17.87 tff(4124,plain,
% 27.30/17.87 (v110(constB30) | (~v108(constB29))),
% 27.30/17.87 inference(unit_resolution,[status(thm)],[4123, 360, 4117])).
% 27.30/17.87 tff(4125,plain,
% 27.30/17.87 (v110(constB30)),
% 27.30/17.87 inference(unit_resolution,[status(thm)],[4124, 4114])).
% 27.30/17.87 tff(4126,plain,
% 27.30/17.87 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))),
% 27.30/17.87 inference(rewrite,[status(thm)],[])).
% 27.30/17.87 tff(4127,plain,
% 27.30/17.87 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))),
% 27.30/17.87 inference(quant_inst,[status(thm)],[])).
% 27.30/17.87 tff(4128,plain,
% 27.30/17.87 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30))),
% 27.30/17.87 inference(modus_ponens,[status(thm)],[4127, 4126])).
% 27.30/17.87 tff(4129,plain,
% 27.30/17.87 (~v104(constB30)),
% 27.30/17.87 inference(unit_resolution,[status(thm)],[4128, 378, 4117, 3726])).
% 27.30/17.87 tff(4130,plain,
% 27.30/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))),
% 27.30/17.87 inference(rewrite,[status(thm)],[])).
% 27.30/17.87 tff(4131,plain,
% 27.30/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))),
% 27.30/17.87 inference(quant_inst,[status(thm)],[])).
% 27.30/17.87 tff(4132,plain,
% 27.30/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB29, constB30)) | v102(constB30) | v104(constB30)),
% 27.30/17.87 inference(modus_ponens,[status(thm)],[4131, 4130])).
% 27.30/17.87 tff(4133,plain,
% 27.30/17.87 (v102(constB30) | v104(constB30)),
% 27.30/17.87 inference(unit_resolution,[status(thm)],[4132, 392, 4117])).
% 27.30/17.87 tff(4134,plain,
% 27.30/17.87 (v102(constB30)),
% 27.30/17.87 inference(unit_resolution,[status(thm)],[4133, 4129])).
% 27.30/17.87 tff(4135,plain,
% 27.30/17.87 (v1(constB30) <=> v1(constB30)),
% 27.30/17.87 inference(rewrite,[status(thm)],[])).
% 27.30/17.87 tff(4136,axiom,(v1(constB30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_30_1')).
% 27.30/17.87 tff(4137,plain,
% 27.35/17.87 (v1(constB30)),
% 27.35/17.87 inference(modus_ponens,[status(thm)],[4136, 4135])).
% 27.35/17.87 tff(4138,plain,
% 27.35/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))),
% 27.35/17.87 inference(rewrite,[status(thm)],[])).
% 27.35/17.87 tff(4139,plain,
% 27.35/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))),
% 27.35/17.87 inference(quant_inst,[status(thm)],[])).
% 27.35/17.87 tff(4140,plain,
% 27.35/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30))),
% 27.35/17.87 inference(modus_ponens,[status(thm)],[4139, 4138])).
% 27.35/17.87 tff(4141,plain,
% 27.35/17.87 (v101(constB30) | (~v102(constB30))),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4140, 410, 4117, 4137])).
% 27.35/17.87 tff(4142,plain,
% 27.35/17.87 (v101(constB30)),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4141, 4134])).
% 27.35/17.87 tff(4143,plain,
% 27.35/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 27.35/17.87 inference(rewrite,[status(thm)],[])).
% 27.35/17.87 tff(4144,plain,
% 27.35/17.87 (((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30)) <=> ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 27.35/17.87 inference(rewrite,[status(thm)],[])).
% 27.35/17.87 tff(4145,plain,
% 27.35/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30))))),
% 27.35/17.87 inference(monotonicity,[status(thm)],[4144])).
% 27.35/17.87 tff(4146,plain,
% 27.35/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 27.35/17.87 inference(transitivity,[status(thm)],[4145, 4143])).
% 27.35/17.87 tff(4147,plain,
% 27.35/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))),
% 27.35/17.87 inference(quant_inst,[status(thm)],[])).
% 27.35/17.87 tff(4148,plain,
% 27.35/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30))),
% 27.35/17.87 inference(modus_ponens,[status(thm)],[4147, 4146])).
% 27.35/17.87 tff(4149,plain,
% 27.35/17.87 (v100(constB30) | (~v101(constB30)) | (~v110(constB30))),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4148, 425, 4117])).
% 27.35/17.87 tff(4150,plain,
% 27.35/17.87 (v100(constB30) | (~v110(constB30))),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4149, 4142])).
% 27.35/17.87 tff(4151,plain,
% 27.35/17.87 (v100(constB30)),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4150, 4125])).
% 27.35/17.87 tff(4152,assumption,(v121(constB29)), introduced(assumption)).
% 27.35/17.87 tff(4153,plain,
% 27.35/17.87 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB29)) | (~v130(constB29, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB29)) | (~v130(constB29, 2)))),
% 27.35/17.87 inference(rewrite,[status(thm)],[])).
% 27.35/17.87 tff(4154,plain,
% 27.35/17.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB29)) | (~v130(constB29, 2)))),
% 27.35/17.87 inference(quant_inst,[status(thm)],[])).
% 27.35/17.87 tff(4155,plain,
% 27.35/17.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB29)) | (~v130(constB29, 2))),
% 27.35/17.87 inference(modus_ponens,[status(thm)],[4154, 4153])).
% 27.35/17.87 tff(4156,plain,
% 27.35/17.87 (~v130(constB29, 2)),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4155, 1155, 4152])).
% 27.35/17.87 tff(4157,plain,
% 27.35/17.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB29, 2)) | v26(constB29) | v130(constB29, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB29, 2)) | v26(constB29) | v130(constB29, 2))),
% 27.35/17.87 inference(rewrite,[status(thm)],[])).
% 27.35/17.87 tff(4158,plain,
% 27.35/17.87 ((v26(constB29) | v130(constB29, 2) | (~v127(constB29, 2))) <=> ((~v127(constB29, 2)) | v26(constB29) | v130(constB29, 2))),
% 27.35/17.87 inference(rewrite,[status(thm)],[])).
% 27.35/17.87 tff(4159,plain,
% 27.35/17.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB29) | v130(constB29, 2) | (~v127(constB29, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB29, 2)) | v26(constB29) | v130(constB29, 2)))),
% 27.35/17.87 inference(monotonicity,[status(thm)],[4158])).
% 27.35/17.87 tff(4160,plain,
% 27.35/17.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB29) | v130(constB29, 2) | (~v127(constB29, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB29, 2)) | v26(constB29) | v130(constB29, 2))),
% 27.35/17.87 inference(transitivity,[status(thm)],[4159, 4157])).
% 27.35/17.87 tff(4161,plain,
% 27.35/17.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB29) | v130(constB29, 2) | (~v127(constB29, 2)))),
% 27.35/17.87 inference(quant_inst,[status(thm)],[])).
% 27.35/17.87 tff(4162,plain,
% 27.35/17.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB29, 2)) | v26(constB29) | v130(constB29, 2)),
% 27.35/17.87 inference(modus_ponens,[status(thm)],[4161, 4160])).
% 27.35/17.87 tff(4163,plain,
% 27.35/17.87 ((~v127(constB29, 2)) | v130(constB29, 2)),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4162, 455, 4099])).
% 27.35/17.87 tff(4164,plain,
% 27.35/17.87 (~v127(constB29, 2)),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4163, 4156])).
% 27.35/17.87 tff(4165,plain,
% 27.35/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB29, constB30)) | v127(constB29, 2) | (~v129(constB30, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB29, constB30)) | v127(constB29, 2) | (~v129(constB30, 2)))),
% 27.35/17.87 inference(rewrite,[status(thm)],[])).
% 27.35/17.87 tff(4166,plain,
% 27.35/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB29, constB30)) | v127(constB29, 2) | (~v129(constB30, 2)))),
% 27.35/17.87 inference(quant_inst,[status(thm)],[])).
% 27.35/17.87 tff(4167,plain,
% 27.35/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB29, constB30)) | v127(constB29, 2) | (~v129(constB30, 2))),
% 27.35/17.87 inference(modus_ponens,[status(thm)],[4166, 4165])).
% 27.35/17.87 tff(4168,plain,
% 27.35/17.87 (v127(constB29, 2) | (~v129(constB30, 2))),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4167, 473, 4117])).
% 27.35/17.87 tff(4169,plain,
% 27.35/17.87 (~v129(constB30, 2)),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4168, 4164])).
% 27.35/17.87 tff(4170,assumption,(v100(constB30)), introduced(assumption)).
% 27.35/17.87 tff(4171,plain,
% 27.35/17.87 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB30, 2)) | v129(constB30, 2) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB30, 2)) | v129(constB30, 2) | (~v100(constB30)))),
% 27.35/17.87 inference(rewrite,[status(thm)],[])).
% 27.35/17.87 tff(4172,plain,
% 27.35/17.87 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB30, 2)) | v129(constB30, 2) | (~v100(constB30)))),
% 27.35/17.87 inference(quant_inst,[status(thm)],[])).
% 27.35/17.87 tff(4173,plain,
% 27.35/17.87 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB30, 2)) | v129(constB30, 2) | (~v100(constB30))),
% 27.35/17.87 inference(modus_ponens,[status(thm)],[4172, 4171])).
% 27.35/17.87 tff(4174,plain,
% 27.35/17.87 ((~v90(constB30, 2)) | v129(constB30, 2)),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4173, 488, 4170])).
% 27.35/17.87 tff(4175,plain,
% 27.35/17.87 (~v90(constB30, 2)),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4174, 4169])).
% 27.35/17.87 tff(4176,plain,
% 27.35/17.87 ((~v1(constB31)) <=> (~v1(constB31))),
% 27.35/17.87 inference(rewrite,[status(thm)],[])).
% 27.35/17.87 tff(4177,axiom,(~v1(constB31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_31_1_1')).
% 27.35/17.87 tff(4178,plain,
% 27.35/17.87 (~v1(constB31)),
% 27.35/17.87 inference(modus_ponens,[status(thm)],[4177, 4176])).
% 27.35/17.87 tff(4179,plain,
% 27.35/17.87 (nextState(constB30, constB31) <=> nextState(constB30, constB31)),
% 27.35/17.87 inference(rewrite,[status(thm)],[])).
% 27.35/17.87 tff(4180,axiom,(nextState(constB30, constB31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_30_1')).
% 27.35/17.87 tff(4181,plain,
% 27.35/17.87 (nextState(constB30, constB31)),
% 27.35/17.87 inference(modus_ponens,[status(thm)],[4180, 4179])).
% 27.35/17.87 tff(4182,plain,
% 27.35/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 27.35/17.87 inference(rewrite,[status(thm)],[])).
% 27.35/17.87 tff(4183,plain,
% 27.35/17.87 (((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31)) <=> (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 27.35/17.87 inference(rewrite,[status(thm)],[])).
% 27.35/17.87 tff(4184,plain,
% 27.35/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31))))),
% 27.35/17.87 inference(monotonicity,[status(thm)],[4183])).
% 27.35/17.87 tff(4185,plain,
% 27.35/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 27.35/17.87 inference(transitivity,[status(thm)],[4184, 4182])).
% 27.35/17.87 tff(4186,plain,
% 27.35/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))),
% 27.35/17.87 inference(quant_inst,[status(thm)],[])).
% 27.35/17.87 tff(4187,plain,
% 27.35/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31))),
% 27.35/17.87 inference(modus_ponens,[status(thm)],[4186, 4185])).
% 27.35/17.87 tff(4188,plain,
% 27.35/17.87 (~v101(constB31)),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4187, 138, 4181, 4178])).
% 27.35/17.87 tff(4189,plain,
% 27.35/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))),
% 27.35/17.87 inference(rewrite,[status(thm)],[])).
% 27.35/17.87 tff(4190,plain,
% 27.35/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))),
% 27.35/17.87 inference(quant_inst,[status(thm)],[])).
% 27.35/17.87 tff(4191,plain,
% 27.35/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31))),
% 27.35/17.87 inference(modus_ponens,[status(thm)],[4190, 4189])).
% 27.35/17.87 tff(4192,plain,
% 27.35/17.87 (v101(constB31) | (~v100(constB31))),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4191, 155, 4181])).
% 27.35/17.87 tff(4193,plain,
% 27.35/17.87 (~v100(constB31)),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4192, 4188])).
% 27.35/17.87 tff(4194,plain,
% 27.35/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB30, 2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB30, 2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 2)))),
% 27.35/17.87 inference(rewrite,[status(thm)],[])).
% 27.35/17.87 tff(4195,plain,
% 27.35/17.87 (((~nextState(constB30, constB31)) | v90(constB30, 2) | v100(constB31) | (~v90(constB31, 2))) <=> (v90(constB30, 2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 2)))),
% 27.35/17.87 inference(rewrite,[status(thm)],[])).
% 27.35/17.87 tff(4196,plain,
% 27.35/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB30, constB31)) | v90(constB30, 2) | v100(constB31) | (~v90(constB31, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB30, 2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 2))))),
% 27.35/17.87 inference(monotonicity,[status(thm)],[4195])).
% 27.35/17.87 tff(4197,plain,
% 27.35/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB30, constB31)) | v90(constB30, 2) | v100(constB31) | (~v90(constB31, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB30, 2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 2)))),
% 27.35/17.87 inference(transitivity,[status(thm)],[4196, 4194])).
% 27.35/17.87 tff(4198,plain,
% 27.35/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB30, constB31)) | v90(constB30, 2) | v100(constB31) | (~v90(constB31, 2)))),
% 27.35/17.87 inference(quant_inst,[status(thm)],[])).
% 27.35/17.87 tff(4199,plain,
% 27.35/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB30, 2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 2))),
% 27.35/17.87 inference(modus_ponens,[status(thm)],[4198, 4197])).
% 27.35/17.87 tff(4200,plain,
% 27.35/17.87 (v90(constB30, 2) | v100(constB31) | (~v90(constB31, 2))),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4199, 170, 4181])).
% 27.35/17.87 tff(4201,plain,
% 27.35/17.87 (v90(constB30, 2) | (~v90(constB31, 2))),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4200, 4193])).
% 27.35/17.87 tff(4202,plain,
% 27.35/17.87 (~v90(constB31, 2)),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4201, 4175])).
% 27.35/17.87 tff(4203,plain,
% 27.35/17.87 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB29)) | v130(constB29, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB29)) | v130(constB29, 0))),
% 27.35/17.87 inference(rewrite,[status(thm)],[])).
% 27.35/17.87 tff(4204,plain,
% 27.35/17.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB29)) | v130(constB29, 0))),
% 27.35/17.87 inference(quant_inst,[status(thm)],[])).
% 27.35/17.87 tff(4205,plain,
% 27.35/17.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB29)) | v130(constB29, 0)),
% 27.35/17.87 inference(modus_ponens,[status(thm)],[4204, 4203])).
% 27.35/17.87 tff(4206,plain,
% 27.35/17.87 (v130(constB29, 0)),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4205, 1099, 4152])).
% 27.35/17.87 tff(4207,plain,
% 27.35/17.87 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB29) | (~v130(constB29, 0)) | v127(constB29, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB29) | (~v130(constB29, 0)) | v127(constB29, 0))),
% 27.35/17.87 inference(rewrite,[status(thm)],[])).
% 27.35/17.87 tff(4208,plain,
% 27.35/17.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB29) | (~v130(constB29, 0)) | v127(constB29, 0))),
% 27.35/17.87 inference(quant_inst,[status(thm)],[])).
% 27.35/17.87 tff(4209,plain,
% 27.35/17.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB29) | (~v130(constB29, 0)) | v127(constB29, 0)),
% 27.35/17.87 inference(modus_ponens,[status(thm)],[4208, 4207])).
% 27.35/17.87 tff(4210,plain,
% 27.35/17.87 ((~v130(constB29, 0)) | v127(constB29, 0)),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4209, 612, 4099])).
% 27.35/17.87 tff(4211,plain,
% 27.35/17.87 (v127(constB29, 0)),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4210, 4206])).
% 27.35/17.87 tff(4212,plain,
% 27.35/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB29, constB30)) | (~v127(constB29, 0)) | v129(constB30, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB29, constB30)) | (~v127(constB29, 0)) | v129(constB30, 0))),
% 27.35/17.87 inference(rewrite,[status(thm)],[])).
% 27.35/17.87 tff(4213,plain,
% 27.35/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB29, constB30)) | (~v127(constB29, 0)) | v129(constB30, 0))),
% 27.35/17.87 inference(quant_inst,[status(thm)],[])).
% 27.35/17.87 tff(4214,plain,
% 27.35/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB29, constB30)) | (~v127(constB29, 0)) | v129(constB30, 0)),
% 27.35/17.87 inference(modus_ponens,[status(thm)],[4213, 4212])).
% 27.35/17.87 tff(4215,plain,
% 27.35/17.87 ((~v127(constB29, 0)) | v129(constB30, 0)),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4214, 627, 4117])).
% 27.35/17.87 tff(4216,plain,
% 27.35/17.87 (v129(constB30, 0)),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4215, 4211])).
% 27.35/17.87 tff(4217,plain,
% 27.35/17.87 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB30, 0) | (~v129(constB30, 0)) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB30, 0) | (~v129(constB30, 0)) | (~v100(constB30)))),
% 27.35/17.87 inference(rewrite,[status(thm)],[])).
% 27.35/17.87 tff(4218,plain,
% 27.35/17.87 ((v90(constB30, 0) | (~v100(constB30)) | (~v129(constB30, 0))) <=> (v90(constB30, 0) | (~v129(constB30, 0)) | (~v100(constB30)))),
% 27.35/17.87 inference(rewrite,[status(thm)],[])).
% 27.35/17.87 tff(4219,plain,
% 27.35/17.87 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB30, 0) | (~v100(constB30)) | (~v129(constB30, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB30, 0) | (~v129(constB30, 0)) | (~v100(constB30))))),
% 27.35/17.87 inference(monotonicity,[status(thm)],[4218])).
% 27.35/17.87 tff(4220,plain,
% 27.35/17.87 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB30, 0) | (~v100(constB30)) | (~v129(constB30, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB30, 0) | (~v129(constB30, 0)) | (~v100(constB30)))),
% 27.35/17.87 inference(transitivity,[status(thm)],[4219, 4217])).
% 27.35/17.87 tff(4221,plain,
% 27.35/17.87 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB30, 0) | (~v100(constB30)) | (~v129(constB30, 0)))),
% 27.35/17.87 inference(quant_inst,[status(thm)],[])).
% 27.35/17.87 tff(4222,plain,
% 27.35/17.87 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB30, 0) | (~v129(constB30, 0)) | (~v100(constB30))),
% 27.35/17.87 inference(modus_ponens,[status(thm)],[4221, 4220])).
% 27.35/17.87 tff(4223,plain,
% 27.35/17.87 (v90(constB30, 0) | (~v129(constB30, 0))),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4222, 642, 4170])).
% 27.35/17.87 tff(4224,plain,
% 27.35/17.87 (v90(constB30, 0)),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4223, 4216])).
% 27.35/17.87 tff(4225,plain,
% 27.35/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB30, 0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB30, 0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 0))),
% 27.35/17.87 inference(rewrite,[status(thm)],[])).
% 27.35/17.87 tff(4226,plain,
% 27.35/17.87 (((~nextState(constB30, constB31)) | (~v90(constB30, 0)) | v100(constB31) | v90(constB31, 0)) <=> ((~v90(constB30, 0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 0))),
% 27.35/17.87 inference(rewrite,[status(thm)],[])).
% 27.35/17.87 tff(4227,plain,
% 27.35/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 0)) | v100(constB31) | v90(constB31, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB30, 0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 0)))),
% 27.35/17.87 inference(monotonicity,[status(thm)],[4226])).
% 27.35/17.87 tff(4228,plain,
% 27.35/17.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 0)) | v100(constB31) | v90(constB31, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB30, 0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 0))),
% 27.35/17.87 inference(transitivity,[status(thm)],[4227, 4225])).
% 27.35/17.87 tff(4229,plain,
% 27.35/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 0)) | v100(constB31) | v90(constB31, 0))),
% 27.35/17.87 inference(quant_inst,[status(thm)],[])).
% 27.35/17.87 tff(4230,plain,
% 27.35/17.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB30, 0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 0)),
% 27.35/17.87 inference(modus_ponens,[status(thm)],[4229, 4228])).
% 27.35/17.87 tff(4231,plain,
% 27.35/17.87 ((~v90(constB30, 0)) | v100(constB31) | v90(constB31, 0)),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4230, 660, 4181])).
% 27.35/17.87 tff(4232,plain,
% 27.35/17.87 ((~v90(constB30, 0)) | v90(constB31, 0)),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4231, 4193])).
% 27.35/17.87 tff(4233,plain,
% 27.35/17.87 (v90(constB31, 0)),
% 27.35/17.87 inference(unit_resolution,[status(thm)],[4232, 4224])).
% 27.35/17.87 tff(4234,plain,
% 27.35/17.87 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB29)) | v130(constB29, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB29)) | v130(constB29, 1))),
% 27.35/17.87 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4235,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB29)) | v130(constB29, 1))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4236,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB29)) | v130(constB29, 1)),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4235, 4234])).
% 27.35/17.88 tff(4237,plain,
% 27.35/17.88 (v130(constB29, 1)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4236, 1235, 4152])).
% 27.35/17.88 tff(4238,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB29) | (~v130(constB29, 1)) | v127(constB29, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB29) | (~v130(constB29, 1)) | v127(constB29, 1))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4239,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB29) | (~v130(constB29, 1)) | v127(constB29, 1))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4240,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB29) | (~v130(constB29, 1)) | v127(constB29, 1)),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4239, 4238])).
% 27.35/17.88 tff(4241,plain,
% 27.35/17.88 ((~v130(constB29, 1)) | v127(constB29, 1)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4240, 855, 4099])).
% 27.35/17.88 tff(4242,plain,
% 27.35/17.88 (v127(constB29, 1)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4241, 4237])).
% 27.35/17.88 tff(4243,plain,
% 27.35/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB29, constB30)) | (~v127(constB29, 1)) | v129(constB30, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB29, constB30)) | (~v127(constB29, 1)) | v129(constB30, 1))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4244,plain,
% 27.35/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB29, constB30)) | (~v127(constB29, 1)) | v129(constB30, 1))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4245,plain,
% 27.35/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB29, constB30)) | (~v127(constB29, 1)) | v129(constB30, 1)),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4244, 4243])).
% 27.35/17.88 tff(4246,plain,
% 27.35/17.88 ((~v127(constB29, 1)) | v129(constB30, 1)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4245, 870, 4117])).
% 27.35/17.88 tff(4247,plain,
% 27.35/17.88 (v129(constB30, 1)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4246, 4242])).
% 27.35/17.88 tff(4248,plain,
% 27.35/17.88 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB30, 1) | (~v129(constB30, 1)) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB30, 1) | (~v129(constB30, 1)) | (~v100(constB30)))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4249,plain,
% 27.35/17.88 ((v90(constB30, 1) | (~v100(constB30)) | (~v129(constB30, 1))) <=> (v90(constB30, 1) | (~v129(constB30, 1)) | (~v100(constB30)))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4250,plain,
% 27.35/17.88 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB30, 1) | (~v100(constB30)) | (~v129(constB30, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB30, 1) | (~v129(constB30, 1)) | (~v100(constB30))))),
% 27.35/17.88 inference(monotonicity,[status(thm)],[4249])).
% 27.35/17.88 tff(4251,plain,
% 27.35/17.88 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB30, 1) | (~v100(constB30)) | (~v129(constB30, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB30, 1) | (~v129(constB30, 1)) | (~v100(constB30)))),
% 27.35/17.88 inference(transitivity,[status(thm)],[4250, 4248])).
% 27.35/17.88 tff(4252,plain,
% 27.35/17.88 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB30, 1) | (~v100(constB30)) | (~v129(constB30, 1)))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4253,plain,
% 27.35/17.88 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB30, 1) | (~v129(constB30, 1)) | (~v100(constB30))),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4252, 4251])).
% 27.35/17.88 tff(4254,plain,
% 27.35/17.88 (v90(constB30, 1) | (~v129(constB30, 1))),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4253, 885, 4170])).
% 27.35/17.88 tff(4255,plain,
% 27.35/17.88 (v90(constB30, 1)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4254, 4247])).
% 27.35/17.88 tff(4256,plain,
% 27.35/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB30, 1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB30, 1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 1))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4257,plain,
% 27.35/17.88 (((~nextState(constB30, constB31)) | (~v90(constB30, 1)) | v100(constB31) | v90(constB31, 1)) <=> ((~v90(constB30, 1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 1))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4258,plain,
% 27.35/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 1)) | v100(constB31) | v90(constB31, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB30, 1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 1)))),
% 27.35/17.88 inference(monotonicity,[status(thm)],[4257])).
% 27.35/17.88 tff(4259,plain,
% 27.35/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 1)) | v100(constB31) | v90(constB31, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB30, 1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 1))),
% 27.35/17.88 inference(transitivity,[status(thm)],[4258, 4256])).
% 27.35/17.88 tff(4260,plain,
% 27.35/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 1)) | v100(constB31) | v90(constB31, 1))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4261,plain,
% 27.35/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB30, 1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 1)),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4260, 4259])).
% 27.35/17.88 tff(4262,plain,
% 27.35/17.88 ((~v90(constB30, 1)) | v100(constB31) | v90(constB31, 1)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4261, 903, 4181])).
% 27.35/17.88 tff(4263,plain,
% 27.35/17.88 ((~v90(constB30, 1)) | v90(constB31, 1)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4262, 4193])).
% 27.35/17.88 tff(4264,plain,
% 27.35/17.88 (v90(constB31, 1)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4263, 4255])).
% 27.35/17.88 tff(4265,assumption,(~v122(constB31)), introduced(assumption)).
% 27.35/17.88 tff(4266,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB31, 0)) | (~v90(constB31, 1)) | v90(constB31, 2) | v122(constB31))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB31, 0)) | (~v90(constB31, 1)) | v90(constB31, 2) | v122(constB31))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4267,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB31, 0)) | (~v90(constB31, 1)) | v90(constB31, 2) | v122(constB31))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4268,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB31, 0)) | (~v90(constB31, 1)) | v90(constB31, 2) | v122(constB31)),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4267, 4266])).
% 27.35/17.88 tff(4269,plain,
% 27.35/17.88 ((~v90(constB31, 0)) | (~v90(constB31, 1)) | v90(constB31, 2)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4268, 1260, 4265])).
% 27.35/17.88 tff(4270,plain,
% 27.35/17.88 ($false),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4269, 4264, 4233, 4202])).
% 27.35/17.88 tff(4271,plain,((~v121(constB29)) | v122(constB31) | (~v100(constB30))), inference(lemma,lemma(discharge,[]))).
% 27.35/17.88 tff(4272,plain,
% 27.35/17.88 (v122(constB31)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4271, 4151, 4060])).
% 27.35/17.88 tff(4273,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB31)) | (~v130(constB31, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB31)) | (~v130(constB31, 0)))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4274,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB31)) | (~v130(constB31, 0)))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4275,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB31)) | (~v130(constB31, 0))),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4274, 4273])).
% 27.35/17.88 tff(4276,plain,
% 27.35/17.88 (~v130(constB31, 0)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4275, 1351, 4272])).
% 27.35/17.88 tff(4277,assumption,(v26(constB31)), introduced(assumption)).
% 27.35/17.88 tff(4278,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB31))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4279,plain,
% 27.35/17.88 ($false),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4278, 95, 4277])).
% 27.35/17.88 tff(4280,plain,(~v26(constB31)), inference(lemma,lemma(discharge,[]))).
% 27.35/17.88 tff(4281,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB31, 0)) | v26(constB31) | v130(constB31, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB31, 0)) | v26(constB31) | v130(constB31, 0))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4282,plain,
% 27.35/17.88 ((v26(constB31) | v130(constB31, 0) | (~v127(constB31, 0))) <=> ((~v127(constB31, 0)) | v26(constB31) | v130(constB31, 0))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4283,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB31) | v130(constB31, 0) | (~v127(constB31, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB31, 0)) | v26(constB31) | v130(constB31, 0)))),
% 27.35/17.88 inference(monotonicity,[status(thm)],[4282])).
% 27.35/17.88 tff(4284,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB31) | v130(constB31, 0) | (~v127(constB31, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB31, 0)) | v26(constB31) | v130(constB31, 0))),
% 27.35/17.88 inference(transitivity,[status(thm)],[4283, 4281])).
% 27.35/17.88 tff(4285,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB31) | v130(constB31, 0) | (~v127(constB31, 0)))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4286,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB31, 0)) | v26(constB31) | v130(constB31, 0)),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4285, 4284])).
% 27.35/17.88 tff(4287,plain,
% 27.35/17.88 ((~v127(constB31, 0)) | v130(constB31, 0)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4286, 933, 4280])).
% 27.35/17.88 tff(4288,plain,
% 27.35/17.88 (~v127(constB31, 0)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4287, 4276])).
% 27.35/17.88 tff(4289,plain,
% 27.35/17.88 (nextState(constB31, constB32) <=> nextState(constB31, constB32)),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4290,axiom,(nextState(constB31, constB32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_31_1')).
% 27.35/17.88 tff(4291,plain,
% 27.35/17.88 (nextState(constB31, constB32)),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4290, 4289])).
% 27.35/17.88 tff(4292,plain,
% 27.35/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB31, constB32)) | v127(constB31, 0) | (~v129(constB32, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB31, constB32)) | v127(constB31, 0) | (~v129(constB32, 0)))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4293,plain,
% 27.35/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB31, constB32)) | v127(constB31, 0) | (~v129(constB32, 0)))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4294,plain,
% 27.35/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB31, constB32)) | v127(constB31, 0) | (~v129(constB32, 0))),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4293, 4292])).
% 27.35/17.88 tff(4295,plain,
% 27.35/17.88 (v127(constB31, 0) | (~v129(constB32, 0))),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4294, 951, 4291])).
% 27.35/17.88 tff(4296,plain,
% 27.35/17.88 (~v129(constB32, 0)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4295, 4288])).
% 27.35/17.88 tff(4297,assumption,(~v100(constB32)), introduced(assumption)).
% 27.35/17.88 tff(4298,assumption,(~v90(constB32, 1)), introduced(assumption)).
% 27.35/17.88 tff(4299,plain,
% 27.35/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB31, 1)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB31, 1)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 1))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4300,plain,
% 27.35/17.88 (((~nextState(constB31, constB32)) | (~v90(constB31, 1)) | v100(constB32) | v90(constB32, 1)) <=> ((~v90(constB31, 1)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 1))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4301,plain,
% 27.35/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB31, constB32)) | (~v90(constB31, 1)) | v100(constB32) | v90(constB32, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB31, 1)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 1)))),
% 27.35/17.88 inference(monotonicity,[status(thm)],[4300])).
% 27.35/17.88 tff(4302,plain,
% 27.35/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB31, constB32)) | (~v90(constB31, 1)) | v100(constB32) | v90(constB32, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB31, 1)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 1))),
% 27.35/17.88 inference(transitivity,[status(thm)],[4301, 4299])).
% 27.35/17.88 tff(4303,plain,
% 27.35/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB31, constB32)) | (~v90(constB31, 1)) | v100(constB32) | v90(constB32, 1))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4304,plain,
% 27.35/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB31, 1)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 1)),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4303, 4302])).
% 27.35/17.88 tff(4305,plain,
% 27.35/17.88 ((~v90(constB31, 1)) | v100(constB32) | v90(constB32, 1)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4304, 903, 4291])).
% 27.35/17.88 tff(4306,plain,
% 27.35/17.88 (~v90(constB31, 1)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4305, 4298, 4297])).
% 27.35/17.88 tff(4307,assumption,(~v90(constB32, 0)), introduced(assumption)).
% 27.35/17.88 tff(4308,plain,
% 27.35/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB31, 0)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB31, 0)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 0))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4309,plain,
% 27.35/17.88 (((~nextState(constB31, constB32)) | (~v90(constB31, 0)) | v100(constB32) | v90(constB32, 0)) <=> ((~v90(constB31, 0)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 0))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4310,plain,
% 27.35/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB31, constB32)) | (~v90(constB31, 0)) | v100(constB32) | v90(constB32, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB31, 0)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 0)))),
% 27.35/17.88 inference(monotonicity,[status(thm)],[4309])).
% 27.35/17.88 tff(4311,plain,
% 27.35/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB31, constB32)) | (~v90(constB31, 0)) | v100(constB32) | v90(constB32, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB31, 0)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 0))),
% 27.35/17.88 inference(transitivity,[status(thm)],[4310, 4308])).
% 27.35/17.88 tff(4312,plain,
% 27.35/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB31, constB32)) | (~v90(constB31, 0)) | v100(constB32) | v90(constB32, 0))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4313,plain,
% 27.35/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB31, 0)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 0)),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4312, 4311])).
% 27.35/17.88 tff(4314,plain,
% 27.35/17.88 ((~v90(constB31, 0)) | v100(constB32) | v90(constB32, 0)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4313, 660, 4291])).
% 27.35/17.88 tff(4315,plain,
% 27.35/17.88 (~v90(constB31, 0)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4314, 4307, 4297])).
% 27.35/17.88 tff(4316,assumption,(~v90(constB32, 2)), introduced(assumption)).
% 27.35/17.88 tff(4317,assumption,(v122(constB31)), introduced(assumption)).
% 27.35/17.88 tff(4318,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB31)) | v116(constB31))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB31)) | v116(constB31))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4319,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB31)) | v116(constB31))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4320,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB31)) | v116(constB31)),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4319, 4318])).
% 27.35/17.88 tff(4321,plain,
% 27.35/17.88 (v116(constB31)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4320, 1272, 4317])).
% 27.35/17.88 tff(4322,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB31) | (~v116(constB31)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB31) | (~v116(constB31)))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4323,plain,
% 27.35/17.88 (((~v116(constB31)) | v115(constB31)) <=> (v115(constB31) | (~v116(constB31)))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4324,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB31)) | v115(constB31))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB31) | (~v116(constB31))))),
% 27.35/17.88 inference(monotonicity,[status(thm)],[4323])).
% 27.35/17.88 tff(4325,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB31)) | v115(constB31))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB31) | (~v116(constB31)))),
% 27.35/17.88 inference(transitivity,[status(thm)],[4324, 4322])).
% 27.35/17.88 tff(4326,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB31)) | v115(constB31))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4327,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB31) | (~v116(constB31))),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4326, 4325])).
% 27.35/17.88 tff(4328,plain,
% 27.35/17.88 (v115(constB31)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4327, 286, 4321])).
% 27.35/17.88 tff(4329,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB31) | (~v115(constB31)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB31) | (~v115(constB31)))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4330,plain,
% 27.35/17.88 (((~v115(constB31)) | v114(constB31)) <=> (v114(constB31) | (~v115(constB31)))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4331,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB31)) | v114(constB31))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB31) | (~v115(constB31))))),
% 27.35/17.88 inference(monotonicity,[status(thm)],[4330])).
% 27.35/17.88 tff(4332,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB31)) | v114(constB31))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB31) | (~v115(constB31)))),
% 27.35/17.88 inference(transitivity,[status(thm)],[4331, 4329])).
% 27.35/17.88 tff(4333,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB31)) | v114(constB31))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4334,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB31) | (~v115(constB31))),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4333, 4332])).
% 27.35/17.88 tff(4335,plain,
% 27.35/17.88 (v114(constB31)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4334, 300, 4328])).
% 27.35/17.88 tff(4336,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB31)) | v130(constB31, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB31)) | v130(constB31, 2))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4337,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB31)) | v130(constB31, 2))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4338,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB31)) | v130(constB31, 2)),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4337, 4336])).
% 27.35/17.88 tff(4339,plain,
% 27.35/17.88 (v130(constB31, 2)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4338, 1484, 4317])).
% 27.35/17.88 tff(4340,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB31) | (~v130(constB31, 2)) | v127(constB31, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB31) | (~v130(constB31, 2)) | v127(constB31, 2))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4341,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB31) | (~v130(constB31, 2)) | v127(constB31, 2))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4342,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB31) | (~v130(constB31, 2)) | v127(constB31, 2)),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4341, 4340])).
% 27.35/17.88 tff(4343,plain,
% 27.35/17.88 ((~v130(constB31, 2)) | v127(constB31, 2)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4342, 1498, 4280])).
% 27.35/17.88 tff(4344,plain,
% 27.35/17.88 (v127(constB31, 2)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4343, 4339])).
% 27.35/17.88 tff(4345,plain,
% 27.35/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB31, constB32)) | (~v127(constB31, 2)) | v129(constB32, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB31, constB32)) | (~v127(constB31, 2)) | v129(constB32, 2))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4346,plain,
% 27.35/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB31, constB32)) | (~v127(constB31, 2)) | v129(constB32, 2))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4347,plain,
% 27.35/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB31, constB32)) | (~v127(constB31, 2)) | v129(constB32, 2)),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4346, 4345])).
% 27.35/17.88 tff(4348,plain,
% 27.35/17.88 ((~v127(constB31, 2)) | v129(constB32, 2)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4347, 1513, 4291])).
% 27.35/17.88 tff(4349,plain,
% 27.35/17.88 (v129(constB32, 2)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4348, 4344])).
% 27.35/17.88 tff(4350,plain,
% 27.35/17.88 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB32, 2) | (~v129(constB32, 2)) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB32, 2) | (~v129(constB32, 2)) | (~v100(constB32)))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4351,plain,
% 27.35/17.88 ((v90(constB32, 2) | (~v100(constB32)) | (~v129(constB32, 2))) <=> (v90(constB32, 2) | (~v129(constB32, 2)) | (~v100(constB32)))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4352,plain,
% 27.35/17.88 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB32, 2) | (~v100(constB32)) | (~v129(constB32, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB32, 2) | (~v129(constB32, 2)) | (~v100(constB32))))),
% 27.35/17.88 inference(monotonicity,[status(thm)],[4351])).
% 27.35/17.88 tff(4353,plain,
% 27.35/17.88 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB32, 2) | (~v100(constB32)) | (~v129(constB32, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB32, 2) | (~v129(constB32, 2)) | (~v100(constB32)))),
% 27.35/17.88 inference(transitivity,[status(thm)],[4352, 4350])).
% 27.35/17.88 tff(4354,plain,
% 27.35/17.88 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB32, 2) | (~v100(constB32)) | (~v129(constB32, 2)))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4355,plain,
% 27.35/17.88 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB32, 2) | (~v129(constB32, 2)) | (~v100(constB32))),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4354, 4353])).
% 27.35/17.88 tff(4356,plain,
% 27.35/17.88 ((~v129(constB32, 2)) | (~v100(constB32))),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4355, 1528, 4316])).
% 27.35/17.88 tff(4357,plain,
% 27.35/17.88 (~v100(constB32)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4356, 4349])).
% 27.35/17.88 tff(4358,plain,
% 27.35/17.88 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4359,plain,
% 27.35/17.88 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4360,plain,
% 27.35/17.88 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32))),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4359, 4358])).
% 27.35/17.88 tff(4361,plain,
% 27.35/17.88 (~v104(constB32)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4360, 378, 4291, 4178])).
% 27.35/17.88 tff(4362,plain,
% 27.35/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4363,plain,
% 27.35/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4364,plain,
% 27.35/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB31, constB32)) | v102(constB32) | v104(constB32)),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4363, 4362])).
% 27.35/17.88 tff(4365,plain,
% 27.35/17.88 (v102(constB32) | v104(constB32)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4364, 392, 4291])).
% 27.35/17.88 tff(4366,plain,
% 27.35/17.88 (v102(constB32)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4365, 4361])).
% 27.35/17.88 tff(4367,plain,
% 27.35/17.88 (v1(constB32) <=> v1(constB32)),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4368,axiom,(v1(constB32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_32_1')).
% 27.35/17.88 tff(4369,plain,
% 27.35/17.88 (v1(constB32)),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4368, 4367])).
% 27.35/17.88 tff(4370,plain,
% 27.35/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4371,plain,
% 27.35/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4372,plain,
% 27.35/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32))),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4371, 4370])).
% 27.35/17.88 tff(4373,plain,
% 27.35/17.88 (v101(constB32) | (~v102(constB32))),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4372, 410, 4291, 4369])).
% 27.35/17.88 tff(4374,plain,
% 27.35/17.88 (v101(constB32)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4373, 4366])).
% 27.35/17.88 tff(4375,plain,
% 27.35/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4376,plain,
% 27.35/17.88 (((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32)) <=> ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4377,plain,
% 27.35/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32))))),
% 27.35/17.88 inference(monotonicity,[status(thm)],[4376])).
% 27.35/17.88 tff(4378,plain,
% 27.35/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 27.35/17.88 inference(transitivity,[status(thm)],[4377, 4375])).
% 27.35/17.88 tff(4379,plain,
% 27.35/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4380,plain,
% 27.35/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32))),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4379, 4378])).
% 27.35/17.88 tff(4381,plain,
% 27.35/17.88 (v100(constB32) | (~v101(constB32)) | (~v110(constB32))),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4380, 425, 4291])).
% 27.35/17.88 tff(4382,plain,
% 27.35/17.88 (v100(constB32) | (~v110(constB32))),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4381, 4374])).
% 27.35/17.88 tff(4383,plain,
% 27.35/17.88 (~v110(constB32)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4382, 4357])).
% 27.35/17.88 tff(4384,plain,
% 27.35/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4385,plain,
% 27.35/17.88 (((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32)) <=> ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4386,plain,
% 27.35/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31))))),
% 27.35/17.88 inference(monotonicity,[status(thm)],[4385])).
% 27.35/17.88 tff(4387,plain,
% 27.35/17.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 27.35/17.88 inference(transitivity,[status(thm)],[4386, 4384])).
% 27.35/17.88 tff(4388,plain,
% 27.35/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4389,plain,
% 27.35/17.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31))),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4388, 4387])).
% 27.35/17.88 tff(4390,plain,
% 27.35/17.88 (v110(constB32) | (~v108(constB31))),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4389, 360, 4291])).
% 27.35/17.88 tff(4391,plain,
% 27.35/17.88 (~v108(constB31)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4390, 4383])).
% 27.35/17.88 tff(4392,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB31) | (~v112(constB31)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v112(constB31)))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4393,plain,
% 27.35/17.88 (((~v112(constB31)) | v108(constB31)) <=> (v108(constB31) | (~v112(constB31)))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4394,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB31)) | v108(constB31))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB31) | (~v112(constB31))))),
% 27.35/17.88 inference(monotonicity,[status(thm)],[4393])).
% 27.35/17.88 tff(4395,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB31)) | v108(constB31))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v112(constB31)))),
% 27.35/17.88 inference(transitivity,[status(thm)],[4394, 4392])).
% 27.35/17.88 tff(4396,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB31)) | v108(constB31))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4397,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v112(constB31))),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4396, 4395])).
% 27.35/17.88 tff(4398,plain,
% 27.35/17.88 (~v112(constB31)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4397, 340, 4391])).
% 27.35/17.88 tff(4399,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | v112(constB31) | (~v113(constB31)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | v112(constB31) | (~v113(constB31)))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4400,plain,
% 27.35/17.88 ((v26(constB31) | (~v113(constB31)) | v112(constB31)) <=> (v26(constB31) | v112(constB31) | (~v113(constB31)))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4401,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | v112(constB31) | (~v113(constB31))))),
% 27.35/17.88 inference(monotonicity,[status(thm)],[4400])).
% 27.35/17.88 tff(4402,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | v112(constB31) | (~v113(constB31)))),
% 27.35/17.88 inference(transitivity,[status(thm)],[4401, 4399])).
% 27.35/17.88 tff(4403,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4404,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | v112(constB31) | (~v113(constB31))),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4403, 4402])).
% 27.35/17.88 tff(4405,plain,
% 27.35/17.88 (v112(constB31) | (~v113(constB31))),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4404, 328, 4280])).
% 27.35/17.88 tff(4406,plain,
% 27.35/17.88 (~v113(constB31)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4405, 4398])).
% 27.35/17.88 tff(4407,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB31) | (~v114(constB31)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB31) | (~v114(constB31)))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4408,plain,
% 27.35/17.88 (((~v114(constB31)) | v113(constB31)) <=> (v113(constB31) | (~v114(constB31)))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4409,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB31)) | v113(constB31))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB31) | (~v114(constB31))))),
% 27.35/17.88 inference(monotonicity,[status(thm)],[4408])).
% 27.35/17.88 tff(4410,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB31)) | v113(constB31))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB31) | (~v114(constB31)))),
% 27.35/17.88 inference(transitivity,[status(thm)],[4409, 4407])).
% 27.35/17.88 tff(4411,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB31)) | v113(constB31))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4412,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB31) | (~v114(constB31))),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4411, 4410])).
% 27.35/17.88 tff(4413,plain,
% 27.35/17.88 ($false),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4412, 314, 4406, 4335])).
% 27.35/17.88 tff(4414,plain,((~v122(constB31)) | v90(constB32, 2)), inference(lemma,lemma(discharge,[]))).
% 27.35/17.88 tff(4415,plain,
% 27.35/17.88 (~v122(constB31)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4414, 4316])).
% 27.35/17.88 tff(4416,assumption,(~v100(constB30)), introduced(assumption)).
% 27.35/17.88 tff(4417,plain,
% 27.35/17.88 (~v110(constB30)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4150, 4416])).
% 27.35/17.88 tff(4418,plain,
% 27.35/17.88 (~v108(constB29)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4124, 4417])).
% 27.35/17.88 tff(4419,plain,
% 27.35/17.88 (~v112(constB29)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4113, 340, 4418])).
% 27.35/17.88 tff(4420,plain,
% 27.35/17.88 (~v113(constB29)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4106, 4419])).
% 27.35/17.88 tff(4421,plain,
% 27.35/17.88 (~v114(constB29)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4094, 314, 4420])).
% 27.35/17.88 tff(4422,plain,
% 27.35/17.88 (~v115(constB29)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4087, 300, 4421])).
% 27.35/17.88 tff(4423,plain,
% 27.35/17.88 (~v116(constB29)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4080, 286, 4422])).
% 27.35/17.88 tff(4424,plain,
% 27.35/17.88 (~v117(constB29)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4073, 272, 4423])).
% 27.35/17.88 tff(4425,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB29) | (~v118(constB29)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB29) | (~v118(constB29)))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4426,plain,
% 27.35/17.88 (((~v118(constB29)) | v117(constB29)) <=> (v117(constB29) | (~v118(constB29)))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4427,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB29)) | v117(constB29))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB29) | (~v118(constB29))))),
% 27.35/17.88 inference(monotonicity,[status(thm)],[4426])).
% 27.35/17.88 tff(4428,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB29)) | v117(constB29))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB29) | (~v118(constB29)))),
% 27.35/17.88 inference(transitivity,[status(thm)],[4427, 4425])).
% 27.35/17.88 tff(4429,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB29)) | v117(constB29))),
% 27.35/17.88 inference(quant_inst,[status(thm)],[])).
% 27.35/17.88 tff(4430,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB29) | (~v118(constB29))),
% 27.35/17.88 inference(modus_ponens,[status(thm)],[4429, 4428])).
% 27.35/17.88 tff(4431,plain,
% 27.35/17.88 (~v118(constB29)),
% 27.35/17.88 inference(unit_resolution,[status(thm)],[4430, 258, 4424])).
% 27.35/17.88 tff(4432,plain,
% 27.35/17.88 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB29)) | v118(constB29))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB29)) | v118(constB29))),
% 27.35/17.88 inference(rewrite,[status(thm)],[])).
% 27.35/17.88 tff(4433,plain,
% 27.35/17.88 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB29)) | v118(constB29))),
% 27.35/17.89 inference(quant_inst,[status(thm)],[])).
% 27.35/17.89 tff(4434,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB29)) | v118(constB29)),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4433, 4432])).
% 27.35/17.89 tff(4435,plain,
% 27.35/17.89 (~v120(constB29)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4434, 690, 4431])).
% 27.35/17.89 tff(4436,plain,
% 27.35/17.89 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB29)) | v118(constB29))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB29)) | v118(constB29))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4437,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB29)) | v118(constB29))),
% 27.35/17.89 inference(quant_inst,[status(thm)],[])).
% 27.35/17.89 tff(4438,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB29)) | v118(constB29)),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4437, 4436])).
% 27.35/17.89 tff(4439,plain,
% 27.35/17.89 (~v119(constB29)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4438, 247, 4431])).
% 27.35/17.89 tff(4440,plain,
% 27.35/17.89 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB29)) | v114(constB29))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB29)) | v114(constB29))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4441,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB29)) | v114(constB29))),
% 27.35/17.89 inference(quant_inst,[status(thm)],[])).
% 27.35/17.89 tff(4442,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB29)) | v114(constB29)),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4441, 4440])).
% 27.35/17.89 tff(4443,plain,
% 27.35/17.89 (~v124(constB29)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4442, 1805, 4421])).
% 27.35/17.89 tff(4444,plain,
% 27.35/17.89 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB29)) | v115(constB29))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB29)) | v115(constB29))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4445,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB29)) | v115(constB29))),
% 27.35/17.89 inference(quant_inst,[status(thm)],[])).
% 27.35/17.89 tff(4446,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB29)) | v115(constB29)),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4445, 4444])).
% 27.35/17.89 tff(4447,plain,
% 27.35/17.89 (~v123(constB29)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4446, 1579, 4422])).
% 27.35/17.89 tff(4448,assumption,(~v90(constB29, 1)), introduced(assumption)).
% 27.35/17.89 tff(4449,assumption,(~v120(constB29)), introduced(assumption)).
% 27.35/17.89 tff(4450,assumption,(~v119(constB29)), introduced(assumption)).
% 27.35/17.89 tff(4451,plain,
% 27.35/17.89 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB29, 0)) | v90(constB29, 1) | v90(constB29, 2) | v120(constB29))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB29, 0)) | v90(constB29, 1) | v90(constB29, 2) | v120(constB29))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4452,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB29, 0)) | v90(constB29, 1) | v90(constB29, 2) | v120(constB29))),
% 27.35/17.89 inference(quant_inst,[status(thm)],[])).
% 27.35/17.89 tff(4453,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB29, 0)) | v90(constB29, 1) | v90(constB29, 2) | v120(constB29)),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4452, 4451])).
% 27.35/17.89 tff(4454,plain,
% 27.35/17.89 ((~v90(constB29, 0)) | v90(constB29, 1) | v90(constB29, 2)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4453, 679, 4449])).
% 27.35/17.89 tff(4455,plain,
% 27.35/17.89 (~v90(constB29, 0)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4454, 3833, 4448])).
% 27.35/17.89 tff(4456,plain,
% 27.35/17.89 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB29, 0) | v90(constB29, 1) | v90(constB29, 2) | v119(constB29))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB29, 0) | v90(constB29, 1) | v90(constB29, 2) | v119(constB29))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4457,plain,
% 27.35/17.89 ((v90(constB29, 0) | v119(constB29) | v90(constB29, 1) | v90(constB29, 2)) <=> (v90(constB29, 0) | v90(constB29, 1) | v90(constB29, 2) | v119(constB29))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4458,plain,
% 27.35/17.89 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB29, 0) | v119(constB29) | v90(constB29, 1) | v90(constB29, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB29, 0) | v90(constB29, 1) | v90(constB29, 2) | v119(constB29)))),
% 27.35/17.89 inference(monotonicity,[status(thm)],[4457])).
% 27.35/17.89 tff(4459,plain,
% 27.35/17.89 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB29, 0) | v119(constB29) | v90(constB29, 1) | v90(constB29, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB29, 0) | v90(constB29, 1) | v90(constB29, 2) | v119(constB29))),
% 27.35/17.89 inference(transitivity,[status(thm)],[4458, 4456])).
% 27.35/17.89 tff(4460,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB29, 0) | v119(constB29) | v90(constB29, 1) | v90(constB29, 2))),
% 27.35/17.89 inference(quant_inst,[status(thm)],[])).
% 27.35/17.89 tff(4461,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB29, 0) | v90(constB29, 1) | v90(constB29, 2) | v119(constB29)),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4460, 4459])).
% 27.35/17.89 tff(4462,plain,
% 27.35/17.89 (v90(constB29, 0) | v90(constB29, 1) | v90(constB29, 2)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4461, 233, 4450])).
% 27.35/17.89 tff(4463,plain,
% 27.35/17.89 ($false),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4462, 4455, 3833, 4448])).
% 27.35/17.89 tff(4464,plain,(v90(constB29, 2) | v90(constB29, 1) | v119(constB29) | v120(constB29)), inference(lemma,lemma(discharge,[]))).
% 27.35/17.89 tff(4465,plain,
% 27.35/17.89 (v90(constB29, 2)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4464, 4448, 4450, 4449])).
% 27.35/17.89 tff(4466,assumption,(~v124(constB29)), introduced(assumption)).
% 27.35/17.89 tff(4467,plain,
% 27.35/17.89 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB29, 0)) | v90(constB29, 1) | (~v90(constB29, 2)) | v124(constB29))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB29, 0)) | v90(constB29, 1) | (~v90(constB29, 2)) | v124(constB29))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4468,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB29, 0)) | v90(constB29, 1) | (~v90(constB29, 2)) | v124(constB29))),
% 27.35/17.89 inference(quant_inst,[status(thm)],[])).
% 27.35/17.89 tff(4469,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB29, 0)) | v90(constB29, 1) | (~v90(constB29, 2)) | v124(constB29)),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4468, 4467])).
% 27.35/17.89 tff(4470,plain,
% 27.35/17.89 ((~v90(constB29, 0)) | v90(constB29, 1) | (~v90(constB29, 2))),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4469, 1794, 4466])).
% 27.35/17.89 tff(4471,plain,
% 27.35/17.89 (~v90(constB29, 0)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4470, 4465, 4448])).
% 27.35/17.89 tff(4472,assumption,(~v123(constB29)), introduced(assumption)).
% 27.35/17.89 tff(4473,plain,
% 27.35/17.89 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB29, 0) | v90(constB29, 1) | (~v90(constB29, 2)) | v123(constB29))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB29, 0) | v90(constB29, 1) | (~v90(constB29, 2)) | v123(constB29))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4474,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB29, 0) | v90(constB29, 1) | (~v90(constB29, 2)) | v123(constB29))),
% 27.35/17.89 inference(quant_inst,[status(thm)],[])).
% 27.35/17.89 tff(4475,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB29, 0) | v90(constB29, 1) | (~v90(constB29, 2)) | v123(constB29)),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4474, 4473])).
% 27.35/17.89 tff(4476,plain,
% 27.35/17.89 (v90(constB29, 0) | v90(constB29, 1) | (~v90(constB29, 2))),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4475, 1565, 4472])).
% 27.35/17.89 tff(4477,plain,
% 27.35/17.89 ($false),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4476, 4471, 4465, 4448])).
% 27.35/17.89 tff(4478,plain,(v90(constB29, 1) | v123(constB29) | v124(constB29) | v119(constB29) | v120(constB29)), inference(lemma,lemma(discharge,[]))).
% 27.35/17.89 tff(4479,plain,
% 27.35/17.89 (v90(constB29, 1)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4478, 4447, 4443, 4439, 4435])).
% 27.35/17.89 tff(4480,plain,
% 27.35/17.89 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB29) | (~v122(constB29)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB29) | (~v122(constB29)))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4481,plain,
% 27.35/17.89 (((~v122(constB29)) | v116(constB29)) <=> (v116(constB29) | (~v122(constB29)))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4482,plain,
% 27.35/17.89 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB29)) | v116(constB29))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB29) | (~v122(constB29))))),
% 27.35/17.89 inference(monotonicity,[status(thm)],[4481])).
% 27.35/17.89 tff(4483,plain,
% 27.35/17.89 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB29)) | v116(constB29))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB29) | (~v122(constB29)))),
% 27.35/17.89 inference(transitivity,[status(thm)],[4482, 4480])).
% 27.35/17.89 tff(4484,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB29)) | v116(constB29))),
% 27.35/17.89 inference(quant_inst,[status(thm)],[])).
% 27.35/17.89 tff(4485,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB29) | (~v122(constB29))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4484, 4483])).
% 27.35/17.89 tff(4486,plain,
% 27.35/17.89 (~v122(constB29)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4485, 1272, 4423])).
% 27.35/17.89 tff(4487,plain,
% 27.35/17.89 (~v121(constB29)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4066, 1004, 4424])).
% 27.35/17.89 tff(4488,plain,
% 27.35/17.89 (v90(constB29, 2)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[3845, 4479, 4487, 4486])).
% 27.35/17.89 tff(4489,plain,
% 27.35/17.89 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB29)) | v113(constB29))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB29)) | v113(constB29))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4490,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB29)) | v113(constB29))),
% 27.35/17.89 inference(quant_inst,[status(thm)],[])).
% 27.35/17.89 tff(4491,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB29)) | v113(constB29)),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4490, 4489])).
% 27.35/17.89 tff(4492,plain,
% 27.35/17.89 (~v125(constB29)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4491, 2022, 4420])).
% 27.35/17.89 tff(4493,plain,
% 27.35/17.89 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB29, 0) | (~v90(constB29, 1)) | (~v90(constB29, 2)) | v125(constB29))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB29, 0) | (~v90(constB29, 1)) | (~v90(constB29, 2)) | v125(constB29))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4494,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB29, 0) | (~v90(constB29, 1)) | (~v90(constB29, 2)) | v125(constB29))),
% 27.35/17.89 inference(quant_inst,[status(thm)],[])).
% 27.35/17.89 tff(4495,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB29, 0) | (~v90(constB29, 1)) | (~v90(constB29, 2)) | v125(constB29)),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4494, 4493])).
% 27.35/17.89 tff(4496,plain,
% 27.35/17.89 (v90(constB29, 0) | (~v90(constB29, 1)) | (~v90(constB29, 2))),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4495, 2011, 4492])).
% 27.35/17.89 tff(4497,plain,
% 27.35/17.89 (v90(constB29, 0)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4496, 4488, 4479])).
% 27.35/17.89 tff(4498,plain,
% 27.35/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB29, 0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB29, 0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 0))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4499,plain,
% 27.35/17.89 (((~nextState(constB29, constB30)) | (~v90(constB29, 0)) | v100(constB30) | v90(constB30, 0)) <=> ((~v90(constB29, 0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 0))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4500,plain,
% 27.35/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB29, constB30)) | (~v90(constB29, 0)) | v100(constB30) | v90(constB30, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB29, 0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 0)))),
% 27.35/17.89 inference(monotonicity,[status(thm)],[4499])).
% 27.35/17.89 tff(4501,plain,
% 27.35/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB29, constB30)) | (~v90(constB29, 0)) | v100(constB30) | v90(constB30, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB29, 0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 0))),
% 27.35/17.89 inference(transitivity,[status(thm)],[4500, 4498])).
% 27.35/17.89 tff(4502,plain,
% 27.35/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB29, constB30)) | (~v90(constB29, 0)) | v100(constB30) | v90(constB30, 0))),
% 27.35/17.89 inference(quant_inst,[status(thm)],[])).
% 27.35/17.89 tff(4503,plain,
% 27.35/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB29, 0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 0)),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4502, 4501])).
% 27.35/17.89 tff(4504,plain,
% 27.35/17.89 ((~v90(constB29, 0)) | v100(constB30) | v90(constB30, 0)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4503, 660, 4117])).
% 27.35/17.89 tff(4505,plain,
% 27.35/17.89 (v90(constB30, 0)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4504, 4497, 4416])).
% 27.35/17.89 tff(4506,plain,
% 27.35/17.89 (v90(constB31, 0)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4232, 4505])).
% 27.35/17.89 tff(4507,plain,
% 27.35/17.89 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | (~v90(VarCurr, 0))) <=> ((~v121(VarCurr)) | (~v90(VarCurr, 0))))),
% 27.35/17.89 inference(bind,[status(th)],[])).
% 27.35/17.89 tff(4508,plain,
% 27.35/17.89 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))),
% 27.35/17.89 inference(quant_intro,[status(thm)],[4507])).
% 27.35/17.89 tff(4509,plain,
% 27.35/17.89 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4510,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_4')).
% 27.35/17.89 tff(4511,plain,
% 27.35/17.89 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4510, 4509])).
% 27.35/17.89 tff(4512,plain,(
% 27.35/17.89 ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))),
% 27.35/17.89 inference(skolemize,[status(sab)],[4511])).
% 27.35/17.89 tff(4513,plain,
% 27.35/17.89 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4512, 4508])).
% 27.35/17.89 tff(4514,plain,
% 27.35/17.89 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB31)) | (~v90(constB31, 0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB31)) | (~v90(constB31, 0)))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4515,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB31)) | (~v90(constB31, 0)))),
% 27.35/17.89 inference(quant_inst,[status(thm)],[])).
% 27.35/17.89 tff(4516,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB31)) | (~v90(constB31, 0))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4515, 4514])).
% 27.35/17.89 tff(4517,plain,
% 27.35/17.89 (~v121(constB31)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4516, 4513, 4506])).
% 27.35/17.89 tff(4518,plain,
% 27.35/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB29, 1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB29, 1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 1))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4519,plain,
% 27.35/17.89 (((~nextState(constB29, constB30)) | (~v90(constB29, 1)) | v100(constB30) | v90(constB30, 1)) <=> ((~v90(constB29, 1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 1))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4520,plain,
% 27.35/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB29, constB30)) | (~v90(constB29, 1)) | v100(constB30) | v90(constB30, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB29, 1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 1)))),
% 27.35/17.89 inference(monotonicity,[status(thm)],[4519])).
% 27.35/17.89 tff(4521,plain,
% 27.35/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB29, constB30)) | (~v90(constB29, 1)) | v100(constB30) | v90(constB30, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB29, 1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 1))),
% 27.35/17.89 inference(transitivity,[status(thm)],[4520, 4518])).
% 27.35/17.89 tff(4522,plain,
% 27.35/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB29, constB30)) | (~v90(constB29, 1)) | v100(constB30) | v90(constB30, 1))),
% 27.35/17.89 inference(quant_inst,[status(thm)],[])).
% 27.35/17.89 tff(4523,plain,
% 27.35/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB29, 1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 1)),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4522, 4521])).
% 27.35/17.89 tff(4524,plain,
% 27.35/17.89 ((~v90(constB29, 1)) | v100(constB30) | v90(constB30, 1)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4523, 903, 4117])).
% 27.35/17.89 tff(4525,plain,
% 27.35/17.89 (v90(constB30, 1)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4524, 4479, 4416])).
% 27.35/17.89 tff(4526,plain,
% 27.35/17.89 (v90(constB31, 1)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4263, 4525])).
% 27.35/17.89 tff(4527,plain,
% 27.35/17.89 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB31)) | (~v90(constB31, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB31)) | (~v90(constB31, 1)))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4528,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB31)) | (~v90(constB31, 1)))),
% 27.35/17.89 inference(quant_inst,[status(thm)],[])).
% 27.35/17.89 tff(4529,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB31)) | (~v90(constB31, 1))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4528, 4527])).
% 27.35/17.89 tff(4530,plain,
% 27.35/17.89 (~v119(constB31)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4529, 2086, 4526])).
% 27.35/17.89 tff(4531,plain,
% 27.35/17.89 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB31)) | (~v90(constB31, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB31)) | (~v90(constB31, 1)))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4532,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB31)) | (~v90(constB31, 1)))),
% 27.35/17.89 inference(quant_inst,[status(thm)],[])).
% 27.35/17.89 tff(4533,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB31)) | (~v90(constB31, 1))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4532, 4531])).
% 27.35/17.89 tff(4534,plain,
% 27.35/17.89 (~v120(constB31)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4533, 2141, 4526])).
% 27.35/17.89 tff(4535,plain,
% 27.35/17.89 (^[VarCurr: state_type] : refl((v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr))) <=> (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr))))),
% 27.35/17.89 inference(bind,[status(th)],[])).
% 27.35/17.89 tff(4536,plain,
% 27.35/17.89 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 27.35/17.89 inference(quant_intro,[status(thm)],[4535])).
% 27.35/17.89 tff(4537,plain,
% 27.35/17.89 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4538,plain,
% 27.35/17.89 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v118(VarCurr)) | v119(VarCurr)) <=> (v119(VarCurr) | (~v118(VarCurr)))), ((((~v118(VarCurr)) | v119(VarCurr)) | v120(VarCurr)) <=> ((v119(VarCurr) | (~v118(VarCurr))) | v120(VarCurr)))), rewrite(((v119(VarCurr) | (~v118(VarCurr))) | v120(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))), ((((~v118(VarCurr)) | v119(VarCurr)) | v120(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))))),
% 27.35/17.89 inference(bind,[status(th)],[])).
% 27.35/17.89 tff(4539,plain,
% 27.35/17.89 (![VarCurr: state_type] : (((~v118(VarCurr)) | v119(VarCurr)) | v120(VarCurr)) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 27.35/17.89 inference(quant_intro,[status(thm)],[4538])).
% 27.35/17.89 tff(4540,axiom,(![VarCurr: state_type] : (((~v118(VarCurr)) | v119(VarCurr)) | v120(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_3')).
% 27.35/17.89 tff(4541,plain,
% 27.35/17.89 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4540, 4539])).
% 27.35/17.89 tff(4542,plain,
% 27.35/17.89 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4541, 4537])).
% 27.35/17.89 tff(4543,plain,(
% 27.35/17.89 ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 27.35/17.89 inference(skolemize,[status(sab)],[4542])).
% 27.35/17.89 tff(4544,plain,
% 27.35/17.89 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4543, 4536])).
% 27.35/17.89 tff(4545,plain,
% 27.35/17.89 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | (v119(constB31) | v120(constB31) | (~v118(constB31)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | v119(constB31) | v120(constB31) | (~v118(constB31)))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4546,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | (v119(constB31) | v120(constB31) | (~v118(constB31)))),
% 27.35/17.89 inference(quant_inst,[status(thm)],[])).
% 27.35/17.89 tff(4547,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | v119(constB31) | v120(constB31) | (~v118(constB31))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4546, 4545])).
% 27.35/17.89 tff(4548,plain,
% 27.35/17.89 (~v118(constB31)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4547, 4544, 4534, 4530])).
% 27.35/17.89 tff(4549,plain,
% 27.35/17.89 (^[VarCurr: state_type] : refl((v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))) <=> (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))))),
% 27.35/17.89 inference(bind,[status(th)],[])).
% 27.35/17.89 tff(4550,plain,
% 27.35/17.89 (![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 27.35/17.89 inference(quant_intro,[status(thm)],[4549])).
% 27.35/17.89 tff(4551,plain,
% 27.35/17.89 (![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4552,plain,
% 27.35/17.89 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v117(VarCurr)) | v118(VarCurr)) <=> (v118(VarCurr) | (~v117(VarCurr)))), ((((~v117(VarCurr)) | v118(VarCurr)) | v121(VarCurr)) <=> ((v118(VarCurr) | (~v117(VarCurr))) | v121(VarCurr)))), rewrite(((v118(VarCurr) | (~v117(VarCurr))) | v121(VarCurr)) <=> (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))), ((((~v117(VarCurr)) | v118(VarCurr)) | v121(VarCurr)) <=> (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))))),
% 27.35/17.89 inference(bind,[status(th)],[])).
% 27.35/17.89 tff(4553,plain,
% 27.35/17.89 (![VarCurr: state_type] : (((~v117(VarCurr)) | v118(VarCurr)) | v121(VarCurr)) <=> ![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 27.35/17.89 inference(quant_intro,[status(thm)],[4552])).
% 27.35/17.89 tff(4554,axiom,(![VarCurr: state_type] : (((~v117(VarCurr)) | v118(VarCurr)) | v121(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_3')).
% 27.35/17.89 tff(4555,plain,
% 27.35/17.89 (![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4554, 4553])).
% 27.35/17.89 tff(4556,plain,
% 27.35/17.89 (![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4555, 4551])).
% 27.35/17.89 tff(4557,plain,(
% 27.35/17.89 ![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 27.35/17.89 inference(skolemize,[status(sab)],[4556])).
% 27.35/17.89 tff(4558,plain,
% 27.35/17.89 (![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4557, 4550])).
% 27.35/17.89 tff(4559,plain,
% 27.35/17.89 (((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB31) | v121(constB31) | (~v117(constB31)))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB31) | v121(constB31) | (~v117(constB31)))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4560,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB31) | v121(constB31) | (~v117(constB31)))),
% 27.35/17.89 inference(quant_inst,[status(thm)],[])).
% 27.35/17.89 tff(4561,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB31) | v121(constB31) | (~v117(constB31))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4560, 4559])).
% 27.35/17.89 tff(4562,plain,
% 27.35/17.89 (v121(constB31) | (~v117(constB31))),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4561, 4558, 4548])).
% 27.35/17.89 tff(4563,plain,
% 27.35/17.89 (~v117(constB31)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4562, 4517])).
% 27.35/17.89 tff(4564,plain,
% 27.35/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB29, 2)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB29, 2)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 2))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4565,plain,
% 27.35/17.89 (((~nextState(constB29, constB30)) | (~v90(constB29, 2)) | v100(constB30) | v90(constB30, 2)) <=> ((~v90(constB29, 2)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 2))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4566,plain,
% 27.35/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB29, constB30)) | (~v90(constB29, 2)) | v100(constB30) | v90(constB30, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB29, 2)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 2)))),
% 27.35/17.89 inference(monotonicity,[status(thm)],[4565])).
% 27.35/17.89 tff(4567,plain,
% 27.35/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB29, constB30)) | (~v90(constB29, 2)) | v100(constB30) | v90(constB30, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB29, 2)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 2))),
% 27.35/17.89 inference(transitivity,[status(thm)],[4566, 4564])).
% 27.35/17.89 tff(4568,plain,
% 27.35/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB29, constB30)) | (~v90(constB29, 2)) | v100(constB30) | v90(constB30, 2))),
% 27.35/17.89 inference(quant_inst,[status(thm)],[])).
% 27.35/17.89 tff(4569,plain,
% 27.35/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB29, 2)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 2)),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4568, 4567])).
% 27.35/17.89 tff(4570,plain,
% 27.35/17.89 ((~v90(constB29, 2)) | v100(constB30) | v90(constB30, 2)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4569, 1546, 4117])).
% 27.35/17.89 tff(4571,plain,
% 27.35/17.89 (v90(constB30, 2)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4570, 4488, 4416])).
% 27.35/17.89 tff(4572,plain,
% 27.35/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB30, 2)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB30, 2)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 2))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4573,plain,
% 27.35/17.89 (((~nextState(constB30, constB31)) | (~v90(constB30, 2)) | v100(constB31) | v90(constB31, 2)) <=> ((~v90(constB30, 2)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 2))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4574,plain,
% 27.35/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 2)) | v100(constB31) | v90(constB31, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB30, 2)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 2)))),
% 27.35/17.89 inference(monotonicity,[status(thm)],[4573])).
% 27.35/17.89 tff(4575,plain,
% 27.35/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 2)) | v100(constB31) | v90(constB31, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB30, 2)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 2))),
% 27.35/17.89 inference(transitivity,[status(thm)],[4574, 4572])).
% 27.35/17.89 tff(4576,plain,
% 27.35/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 2)) | v100(constB31) | v90(constB31, 2))),
% 27.35/17.89 inference(quant_inst,[status(thm)],[])).
% 27.35/17.89 tff(4577,plain,
% 27.35/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB30, 2)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 2)),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4576, 4575])).
% 27.35/17.89 tff(4578,plain,
% 27.35/17.89 ((~v90(constB30, 2)) | v100(constB31) | v90(constB31, 2)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4577, 1546, 4181])).
% 27.35/17.89 tff(4579,plain,
% 27.35/17.89 ((~v90(constB30, 2)) | v90(constB31, 2)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4578, 4193])).
% 27.35/17.89 tff(4580,plain,
% 27.35/17.89 (v90(constB31, 2)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4579, 4571])).
% 27.35/17.89 tff(4581,plain,
% 27.35/17.89 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB31)) | (~v90(constB31, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB31)) | (~v90(constB31, 2)))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4582,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB31)) | (~v90(constB31, 2)))),
% 27.35/17.89 inference(quant_inst,[status(thm)],[])).
% 27.35/17.89 tff(4583,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB31)) | (~v90(constB31, 2))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4582, 4581])).
% 27.35/17.89 tff(4584,plain,
% 27.35/17.89 (~v122(constB31)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4583, 2119, 4580])).
% 27.35/17.89 tff(4585,plain,
% 27.35/17.89 (^[VarCurr: state_type] : refl((v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))) <=> (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))))),
% 27.35/17.89 inference(bind,[status(th)],[])).
% 27.35/17.89 tff(4586,plain,
% 27.35/17.89 (![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 27.35/17.89 inference(quant_intro,[status(thm)],[4585])).
% 27.35/17.89 tff(4587,plain,
% 27.35/17.89 (![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4588,plain,
% 27.35/17.89 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v116(VarCurr)) | v117(VarCurr)) <=> (v117(VarCurr) | (~v116(VarCurr)))), ((((~v116(VarCurr)) | v117(VarCurr)) | v122(VarCurr)) <=> ((v117(VarCurr) | (~v116(VarCurr))) | v122(VarCurr)))), rewrite(((v117(VarCurr) | (~v116(VarCurr))) | v122(VarCurr)) <=> (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))), ((((~v116(VarCurr)) | v117(VarCurr)) | v122(VarCurr)) <=> (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))))),
% 27.35/17.89 inference(bind,[status(th)],[])).
% 27.35/17.89 tff(4589,plain,
% 27.35/17.89 (![VarCurr: state_type] : (((~v116(VarCurr)) | v117(VarCurr)) | v122(VarCurr)) <=> ![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 27.35/17.89 inference(quant_intro,[status(thm)],[4588])).
% 27.35/17.89 tff(4590,axiom,(![VarCurr: state_type] : (((~v116(VarCurr)) | v117(VarCurr)) | v122(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_3')).
% 27.35/17.89 tff(4591,plain,
% 27.35/17.89 (![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4590, 4589])).
% 27.35/17.89 tff(4592,plain,
% 27.35/17.89 (![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4591, 4587])).
% 27.35/17.89 tff(4593,plain,(
% 27.35/17.89 ![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 27.35/17.89 inference(skolemize,[status(sab)],[4592])).
% 27.35/17.89 tff(4594,plain,
% 27.35/17.89 (![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4593, 4586])).
% 27.35/17.89 tff(4595,plain,
% 27.35/17.89 (((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB31) | v122(constB31) | (~v116(constB31)))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB31) | v122(constB31) | (~v116(constB31)))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4596,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB31) | v122(constB31) | (~v116(constB31)))),
% 27.35/17.89 inference(quant_inst,[status(thm)],[])).
% 27.35/17.89 tff(4597,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB31) | v122(constB31) | (~v116(constB31))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4596, 4595])).
% 27.35/17.89 tff(4598,plain,
% 27.35/17.89 (~v116(constB31)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4597, 4594, 4584, 4563])).
% 27.35/17.89 tff(4599,plain,
% 27.35/17.89 (^[VarCurr: state_type] : refl(((~v125(VarCurr)) | (~v90(VarCurr, 0))) <=> ((~v125(VarCurr)) | (~v90(VarCurr, 0))))),
% 27.35/17.89 inference(bind,[status(th)],[])).
% 27.35/17.89 tff(4600,plain,
% 27.35/17.89 (![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, 0)))),
% 27.35/17.89 inference(quant_intro,[status(thm)],[4599])).
% 27.35/17.89 tff(4601,plain,
% 27.35/17.89 (![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, 0)))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4602,axiom,(![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, 0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_4')).
% 27.35/17.89 tff(4603,plain,
% 27.35/17.89 (![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, 0)))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4602, 4601])).
% 27.35/17.89 tff(4604,plain,(
% 27.35/17.89 ![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, 0)))),
% 27.35/17.89 inference(skolemize,[status(sab)],[4603])).
% 27.35/17.89 tff(4605,plain,
% 27.35/17.89 (![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, 0)))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4604, 4600])).
% 27.35/17.89 tff(4606,plain,
% 27.35/17.89 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v125(constB31)) | (~v90(constB31, 0)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, 0)))) | (~v125(constB31)) | (~v90(constB31, 0)))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4607,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v125(constB31)) | (~v90(constB31, 0)))),
% 27.35/17.89 inference(quant_inst,[status(thm)],[])).
% 27.35/17.89 tff(4608,plain,
% 27.35/17.89 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | (~v90(VarCurr, 0)))) | (~v125(constB31)) | (~v90(constB31, 0))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4607, 4606])).
% 27.35/17.89 tff(4609,plain,
% 27.35/17.89 (~v125(constB31)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4608, 4605, 4506])).
% 27.35/17.89 tff(4610,plain,
% 27.35/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB31, 2)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB31, 2)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 2))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4611,plain,
% 27.35/17.89 (((~nextState(constB31, constB32)) | (~v90(constB31, 2)) | v100(constB32) | v90(constB32, 2)) <=> ((~v90(constB31, 2)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 2))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4612,plain,
% 27.35/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB31, constB32)) | (~v90(constB31, 2)) | v100(constB32) | v90(constB32, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB31, 2)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 2)))),
% 27.35/17.89 inference(monotonicity,[status(thm)],[4611])).
% 27.35/17.89 tff(4613,plain,
% 27.35/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB31, constB32)) | (~v90(constB31, 2)) | v100(constB32) | v90(constB32, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB31, 2)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 2))),
% 27.35/17.89 inference(transitivity,[status(thm)],[4612, 4610])).
% 27.35/17.89 tff(4614,plain,
% 27.35/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB31, constB32)) | (~v90(constB31, 2)) | v100(constB32) | v90(constB32, 2))),
% 27.35/17.89 inference(quant_inst,[status(thm)],[])).
% 27.35/17.89 tff(4615,plain,
% 27.35/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB31, 2)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 2)),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4614, 4613])).
% 27.35/17.89 tff(4616,plain,
% 27.35/17.89 ((~v90(constB31, 2)) | v100(constB32) | v90(constB32, 2)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4615, 1546, 4291])).
% 27.35/17.89 tff(4617,plain,
% 27.35/17.89 (v100(constB32)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4616, 4580, 4316])).
% 27.35/17.89 tff(4618,plain,
% 27.35/17.89 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))))),
% 27.35/17.89 inference(bind,[status(th)],[])).
% 27.35/17.89 tff(4619,plain,
% 27.35/17.89 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 27.35/17.89 inference(quant_intro,[status(thm)],[4618])).
% 27.35/17.89 tff(4620,plain,
% 27.35/17.89 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4621,plain,
% 27.35/17.89 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v100(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))))),
% 27.35/17.89 inference(bind,[status(th)],[])).
% 27.35/17.89 tff(4622,plain,
% 27.35/17.89 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 27.35/17.89 inference(quant_intro,[status(thm)],[4621])).
% 27.35/17.89 tff(4623,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_2')).
% 27.35/17.89 tff(4624,plain,
% 27.35/17.89 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4623, 4622])).
% 27.35/17.89 tff(4625,plain,
% 27.35/17.89 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4624, 4620])).
% 27.35/17.89 tff(4626,plain,(
% 27.35/17.89 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 27.35/17.89 inference(skolemize,[status(sab)],[4625])).
% 27.35/17.89 tff(4627,plain,
% 27.35/17.89 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4626, 4619])).
% 27.35/17.89 tff(4628,plain,
% 27.35/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB31, constB32)) | v110(constB32) | (~v100(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v100(constB32)))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4629,plain,
% 27.35/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB31, constB32)) | v110(constB32) | (~v100(constB32)))),
% 27.35/17.89 inference(quant_inst,[status(thm)],[])).
% 27.35/17.89 tff(4630,plain,
% 27.35/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v100(constB32))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4629, 4628])).
% 27.35/17.89 tff(4631,plain,
% 27.35/17.89 (v110(constB32) | (~v100(constB32))),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4630, 4627, 4291])).
% 27.35/17.89 tff(4632,plain,
% 27.35/17.89 (v110(constB32)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4631, 4617])).
% 27.35/17.89 tff(4633,plain,
% 27.35/17.89 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))))),
% 27.35/17.89 inference(bind,[status(th)],[])).
% 27.35/17.89 tff(4634,plain,
% 27.35/17.89 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 27.35/17.89 inference(quant_intro,[status(thm)],[4633])).
% 27.35/17.89 tff(4635,plain,
% 27.35/17.89 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4636,plain,
% 27.35/17.89 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v110(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))))),
% 27.35/17.89 inference(bind,[status(th)],[])).
% 27.35/17.89 tff(4637,plain,
% 27.35/17.89 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 27.35/17.89 inference(quant_intro,[status(thm)],[4636])).
% 27.35/17.89 tff(4638,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_6_1_2')).
% 27.35/17.89 tff(4639,plain,
% 27.35/17.89 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4638, 4637])).
% 27.35/17.89 tff(4640,plain,
% 27.35/17.89 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4639, 4635])).
% 27.35/17.89 tff(4641,plain,(
% 27.35/17.89 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 27.35/17.89 inference(skolemize,[status(sab)],[4640])).
% 27.35/17.89 tff(4642,plain,
% 27.35/17.89 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4641, 4634])).
% 27.35/17.89 tff(4643,plain,
% 27.35/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB31, constB32)) | (~v110(constB32)) | v108(constB31))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB31, constB32)) | (~v110(constB32)) | v108(constB31))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4644,plain,
% 27.35/17.89 (((~nextState(constB31, constB32)) | v108(constB31) | (~v110(constB32))) <=> ((~nextState(constB31, constB32)) | (~v110(constB32)) | v108(constB31))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4645,plain,
% 27.35/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB31, constB32)) | v108(constB31) | (~v110(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB31, constB32)) | (~v110(constB32)) | v108(constB31)))),
% 27.35/17.89 inference(monotonicity,[status(thm)],[4644])).
% 27.35/17.89 tff(4646,plain,
% 27.35/17.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB31, constB32)) | v108(constB31) | (~v110(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB31, constB32)) | (~v110(constB32)) | v108(constB31))),
% 27.35/17.89 inference(transitivity,[status(thm)],[4645, 4643])).
% 27.35/17.89 tff(4647,plain,
% 27.35/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB31, constB32)) | v108(constB31) | (~v110(constB32)))),
% 27.35/17.89 inference(quant_inst,[status(thm)],[])).
% 27.35/17.89 tff(4648,plain,
% 27.35/17.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB31, constB32)) | (~v110(constB32)) | v108(constB31)),
% 27.35/17.89 inference(modus_ponens,[status(thm)],[4647, 4646])).
% 27.35/17.89 tff(4649,plain,
% 27.35/17.89 ((~v110(constB32)) | v108(constB31)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4648, 4642, 4291])).
% 27.35/17.89 tff(4650,plain,
% 27.35/17.89 (v108(constB31)),
% 27.35/17.89 inference(unit_resolution,[status(thm)],[4649, 4632])).
% 27.35/17.89 tff(4651,plain,
% 27.35/17.89 (^[VarCurr: state_type] : refl((v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))) <=> (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))))),
% 27.35/17.89 inference(bind,[status(th)],[])).
% 27.35/17.89 tff(4652,plain,
% 27.35/17.89 (![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 27.35/17.89 inference(quant_intro,[status(thm)],[4651])).
% 27.35/17.89 tff(4653,plain,
% 27.35/17.89 (![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 27.35/17.89 inference(rewrite,[status(thm)],[])).
% 27.35/17.89 tff(4654,plain,
% 27.35/17.89 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v108(VarCurr)) | v26(VarCurr)) <=> (v26(VarCurr) | (~v108(VarCurr)))), ((((~v108(VarCurr)) | v26(VarCurr)) | v112(VarCurr)) <=> ((v26(VarCurr) | (~v108(VarCurr))) | v112(VarCurr)))), rewrite(((v26(VarCurr) | (~v108(VarCurr))) | v112(VarCurr)) <=> (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))), ((((~v108(VarCurr)) | v26(VarCurr)) | v112(VarCurr)) <=> (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))))),
% 27.35/17.89 inference(bind,[status(th)],[])).
% 27.35/17.89 tff(4655,plain,
% 27.35/17.89 (![VarCurr: state_type] : (((~v108(VarCurr)) | v26(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 27.35/17.89 inference(quant_intro,[status(thm)],[4654])).
% 27.35/17.89 tff(4656,axiom,(![VarCurr: state_type] : (((~v108(VarCurr)) | v26(VarCurr)) | v112(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_3')).
% 27.35/17.90 tff(4657,plain,
% 27.35/17.90 (![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4656, 4655])).
% 27.35/17.90 tff(4658,plain,
% 27.35/17.90 (![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4657, 4653])).
% 27.35/17.90 tff(4659,plain,(
% 27.35/17.90 ![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 27.35/17.90 inference(skolemize,[status(sab)],[4658])).
% 27.35/17.90 tff(4660,plain,
% 27.35/17.90 (![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4659, 4652])).
% 27.35/17.90 tff(4661,plain,
% 27.35/17.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB31)) | v26(constB31) | v112(constB31))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB31)) | v26(constB31) | v112(constB31))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4662,plain,
% 27.35/17.90 ((v26(constB31) | v112(constB31) | (~v108(constB31))) <=> ((~v108(constB31)) | v26(constB31) | v112(constB31))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4663,plain,
% 27.35/17.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB31) | v112(constB31) | (~v108(constB31)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB31)) | v26(constB31) | v112(constB31)))),
% 27.35/17.90 inference(monotonicity,[status(thm)],[4662])).
% 27.35/17.90 tff(4664,plain,
% 27.35/17.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB31) | v112(constB31) | (~v108(constB31)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB31)) | v26(constB31) | v112(constB31))),
% 27.35/17.90 inference(transitivity,[status(thm)],[4663, 4661])).
% 27.35/17.90 tff(4665,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB31) | v112(constB31) | (~v108(constB31)))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4666,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB31)) | v26(constB31) | v112(constB31)),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4665, 4664])).
% 27.35/17.90 tff(4667,plain,
% 27.35/17.90 ((~v108(constB31)) | v112(constB31)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4666, 4660, 4280])).
% 27.35/17.90 tff(4668,plain,
% 27.35/17.90 (v112(constB31)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4667, 4650])).
% 27.35/17.90 tff(4669,plain,
% 27.35/17.90 (^[VarCurr: state_type] : refl((v113(VarCurr) | (~v112(VarCurr))) <=> (v113(VarCurr) | (~v112(VarCurr))))),
% 27.35/17.90 inference(bind,[status(th)],[])).
% 27.35/17.90 tff(4670,plain,
% 27.35/17.90 (![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 27.35/17.90 inference(quant_intro,[status(thm)],[4669])).
% 27.35/17.90 tff(4671,plain,
% 27.35/17.90 (![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4672,plain,
% 27.35/17.90 (^[VarCurr: state_type] : rewrite(((~v112(VarCurr)) | v113(VarCurr)) <=> (v113(VarCurr) | (~v112(VarCurr))))),
% 27.35/17.90 inference(bind,[status(th)],[])).
% 27.35/17.90 tff(4673,plain,
% 27.35/17.90 (![VarCurr: state_type] : ((~v112(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 27.35/17.90 inference(quant_intro,[status(thm)],[4672])).
% 27.35/17.90 tff(4674,axiom,(![VarCurr: state_type] : ((~v112(VarCurr)) | v113(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_2')).
% 27.35/17.90 tff(4675,plain,
% 27.35/17.90 (![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4674, 4673])).
% 27.35/17.90 tff(4676,plain,
% 27.35/17.90 (![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4675, 4671])).
% 27.35/17.90 tff(4677,plain,(
% 27.35/17.90 ![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 27.35/17.90 inference(skolemize,[status(sab)],[4676])).
% 27.35/17.90 tff(4678,plain,
% 27.35/17.90 (![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4677, 4670])).
% 27.35/17.90 tff(4679,plain,
% 27.35/17.90 (((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB31) | (~v112(constB31)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB31) | (~v112(constB31)))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4680,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB31) | (~v112(constB31)))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4681,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB31) | (~v112(constB31))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4680, 4679])).
% 27.35/17.90 tff(4682,plain,
% 27.35/17.90 (v113(constB31)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4681, 4678, 4668])).
% 27.35/17.90 tff(4683,plain,
% 27.35/17.90 (^[VarCurr: state_type] : refl((v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))) <=> (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))))),
% 27.35/17.90 inference(bind,[status(th)],[])).
% 27.35/17.90 tff(4684,plain,
% 27.35/17.90 (![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))) <=> ![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 27.35/17.90 inference(quant_intro,[status(thm)],[4683])).
% 27.35/17.90 tff(4685,plain,
% 27.35/17.90 (![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))) <=> ![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4686,plain,
% 27.35/17.90 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v113(VarCurr)) | v114(VarCurr)) <=> (v114(VarCurr) | (~v113(VarCurr)))), ((((~v113(VarCurr)) | v114(VarCurr)) | v125(VarCurr)) <=> ((v114(VarCurr) | (~v113(VarCurr))) | v125(VarCurr)))), rewrite(((v114(VarCurr) | (~v113(VarCurr))) | v125(VarCurr)) <=> (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))), ((((~v113(VarCurr)) | v114(VarCurr)) | v125(VarCurr)) <=> (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))))),
% 27.35/17.90 inference(bind,[status(th)],[])).
% 27.35/17.90 tff(4687,plain,
% 27.35/17.90 (![VarCurr: state_type] : (((~v113(VarCurr)) | v114(VarCurr)) | v125(VarCurr)) <=> ![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 27.35/17.90 inference(quant_intro,[status(thm)],[4686])).
% 27.35/17.90 tff(4688,axiom,(![VarCurr: state_type] : (((~v113(VarCurr)) | v114(VarCurr)) | v125(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_3')).
% 27.35/17.90 tff(4689,plain,
% 27.35/17.90 (![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4688, 4687])).
% 27.35/17.90 tff(4690,plain,
% 27.35/17.90 (![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4689, 4685])).
% 27.35/17.90 tff(4691,plain,(
% 27.35/17.90 ![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 27.35/17.90 inference(skolemize,[status(sab)],[4690])).
% 27.35/17.90 tff(4692,plain,
% 27.35/17.90 (![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4691, 4684])).
% 27.35/17.90 tff(4693,plain,
% 27.35/17.90 (((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB31) | v125(constB31) | (~v113(constB31)))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB31) | v125(constB31) | (~v113(constB31)))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4694,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB31) | v125(constB31) | (~v113(constB31)))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4695,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB31) | v125(constB31) | (~v113(constB31))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4694, 4693])).
% 27.35/17.90 tff(4696,plain,
% 27.35/17.90 (v114(constB31)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4695, 4692, 4682, 4609])).
% 27.35/17.90 tff(4697,plain,
% 27.35/17.90 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB31)) | (~v90(constB31, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB31)) | (~v90(constB31, 1)))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4698,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB31)) | (~v90(constB31, 1)))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4699,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB31)) | (~v90(constB31, 1))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4698, 4697])).
% 27.35/17.90 tff(4700,plain,
% 27.35/17.90 (~v124(constB31)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4699, 2097, 4526])).
% 27.35/17.90 tff(4701,plain,
% 27.35/17.90 (^[VarCurr: state_type] : refl((v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))) <=> (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))))),
% 27.35/17.90 inference(bind,[status(th)],[])).
% 27.35/17.90 tff(4702,plain,
% 27.35/17.90 (![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 27.35/17.90 inference(quant_intro,[status(thm)],[4701])).
% 27.35/17.90 tff(4703,plain,
% 27.35/17.90 (![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4704,plain,
% 27.35/17.90 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v114(VarCurr)) | v115(VarCurr)) <=> (v115(VarCurr) | (~v114(VarCurr)))), ((((~v114(VarCurr)) | v115(VarCurr)) | v124(VarCurr)) <=> ((v115(VarCurr) | (~v114(VarCurr))) | v124(VarCurr)))), rewrite(((v115(VarCurr) | (~v114(VarCurr))) | v124(VarCurr)) <=> (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))), ((((~v114(VarCurr)) | v115(VarCurr)) | v124(VarCurr)) <=> (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))))),
% 27.35/17.90 inference(bind,[status(th)],[])).
% 27.35/17.90 tff(4705,plain,
% 27.35/17.90 (![VarCurr: state_type] : (((~v114(VarCurr)) | v115(VarCurr)) | v124(VarCurr)) <=> ![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 27.35/17.90 inference(quant_intro,[status(thm)],[4704])).
% 27.35/17.90 tff(4706,axiom,(![VarCurr: state_type] : (((~v114(VarCurr)) | v115(VarCurr)) | v124(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_3')).
% 27.35/17.90 tff(4707,plain,
% 27.35/17.90 (![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4706, 4705])).
% 27.35/17.90 tff(4708,plain,
% 27.35/17.90 (![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4707, 4703])).
% 27.35/17.90 tff(4709,plain,(
% 27.35/17.90 ![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 27.35/17.90 inference(skolemize,[status(sab)],[4708])).
% 27.35/17.90 tff(4710,plain,
% 27.35/17.90 (![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4709, 4702])).
% 27.35/17.90 tff(4711,plain,
% 27.35/17.90 (((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB31) | v124(constB31) | (~v114(constB31)))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB31) | v124(constB31) | (~v114(constB31)))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4712,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB31) | v124(constB31) | (~v114(constB31)))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4713,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB31) | v124(constB31) | (~v114(constB31))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4712, 4711])).
% 27.35/17.90 tff(4714,plain,
% 27.35/17.90 (v115(constB31) | (~v114(constB31))),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4713, 4710, 4700])).
% 27.35/17.90 tff(4715,plain,
% 27.35/17.90 (v115(constB31)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4714, 4696])).
% 27.35/17.90 tff(4716,plain,
% 27.35/17.90 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB31)) | (~v90(constB31, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB31)) | (~v90(constB31, 1)))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4717,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB31)) | (~v90(constB31, 1)))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4718,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB31)) | (~v90(constB31, 1))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4717, 4716])).
% 27.35/17.90 tff(4719,plain,
% 27.35/17.90 (~v123(constB31)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4718, 2108, 4526])).
% 27.35/17.90 tff(4720,plain,
% 27.35/17.90 (^[VarCurr: state_type] : refl((v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))) <=> (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))))),
% 27.35/17.90 inference(bind,[status(th)],[])).
% 27.35/17.90 tff(4721,plain,
% 27.35/17.90 (![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 27.35/17.90 inference(quant_intro,[status(thm)],[4720])).
% 27.35/17.90 tff(4722,plain,
% 27.35/17.90 (![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4723,plain,
% 27.35/17.90 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v115(VarCurr)) | v116(VarCurr)) <=> (v116(VarCurr) | (~v115(VarCurr)))), ((((~v115(VarCurr)) | v116(VarCurr)) | v123(VarCurr)) <=> ((v116(VarCurr) | (~v115(VarCurr))) | v123(VarCurr)))), rewrite(((v116(VarCurr) | (~v115(VarCurr))) | v123(VarCurr)) <=> (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))), ((((~v115(VarCurr)) | v116(VarCurr)) | v123(VarCurr)) <=> (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))))),
% 27.35/17.90 inference(bind,[status(th)],[])).
% 27.35/17.90 tff(4724,plain,
% 27.35/17.90 (![VarCurr: state_type] : (((~v115(VarCurr)) | v116(VarCurr)) | v123(VarCurr)) <=> ![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 27.35/17.90 inference(quant_intro,[status(thm)],[4723])).
% 27.35/17.90 tff(4725,axiom,(![VarCurr: state_type] : (((~v115(VarCurr)) | v116(VarCurr)) | v123(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_3')).
% 27.35/17.90 tff(4726,plain,
% 27.35/17.90 (![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4725, 4724])).
% 27.35/17.90 tff(4727,plain,
% 27.35/17.90 (![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4726, 4722])).
% 27.35/17.90 tff(4728,plain,(
% 27.35/17.90 ![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 27.35/17.90 inference(skolemize,[status(sab)],[4727])).
% 27.35/17.90 tff(4729,plain,
% 27.35/17.90 (![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4728, 4721])).
% 27.35/17.90 tff(4730,plain,
% 27.35/17.90 (((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB31) | v123(constB31) | (~v115(constB31)))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB31) | v123(constB31) | (~v115(constB31)))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4731,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB31) | v123(constB31) | (~v115(constB31)))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4732,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB31) | v123(constB31) | (~v115(constB31))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4731, 4730])).
% 27.35/17.90 tff(4733,plain,
% 27.35/17.90 (v116(constB31) | (~v115(constB31))),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4732, 4729, 4719])).
% 27.35/17.90 tff(4734,plain,
% 27.35/17.90 ($false),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4733, 4715, 4598])).
% 27.35/17.90 tff(4735,plain,(v100(constB30) | v90(constB32, 2)), inference(lemma,lemma(discharge,[]))).
% 27.35/17.90 tff(4736,plain,
% 27.35/17.90 (v100(constB30)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4735, 4316])).
% 27.35/17.90 tff(4737,plain,
% 27.35/17.90 (~v121(constB29)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4271, 4736, 4415])).
% 27.35/17.90 tff(4738,assumption,(v123(constB29)), introduced(assumption)).
% 27.35/17.90 tff(4739,plain,
% 27.35/17.90 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB29)) | (~v130(constB29, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB29)) | (~v130(constB29, 1)))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4740,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB29)) | (~v130(constB29, 1)))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4741,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB29)) | (~v130(constB29, 1))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4740, 4739])).
% 27.35/17.90 tff(4742,plain,
% 27.35/17.90 (~v130(constB29, 1)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4741, 1712, 4738])).
% 27.35/17.90 tff(4743,plain,
% 27.35/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB29, constB30)) | v110(constB30) | (~v100(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v100(constB30)))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4744,plain,
% 27.35/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB29, constB30)) | v110(constB30) | (~v100(constB30)))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4745,plain,
% 27.35/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v100(constB30))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4744, 4743])).
% 27.35/17.90 tff(4746,plain,
% 27.35/17.90 (v110(constB30) | (~v100(constB30))),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4745, 4627, 4117])).
% 27.35/17.90 tff(4747,plain,
% 27.35/17.90 (v110(constB30)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4746, 4736])).
% 27.35/17.90 tff(4748,plain,
% 27.35/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB29, constB30)) | (~v110(constB30)) | v108(constB29))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB29, constB30)) | (~v110(constB30)) | v108(constB29))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4749,plain,
% 27.35/17.90 (((~nextState(constB29, constB30)) | v108(constB29) | (~v110(constB30))) <=> ((~nextState(constB29, constB30)) | (~v110(constB30)) | v108(constB29))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4750,plain,
% 27.35/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB29, constB30)) | v108(constB29) | (~v110(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB29, constB30)) | (~v110(constB30)) | v108(constB29)))),
% 27.35/17.90 inference(monotonicity,[status(thm)],[4749])).
% 27.35/17.90 tff(4751,plain,
% 27.35/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB29, constB30)) | v108(constB29) | (~v110(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB29, constB30)) | (~v110(constB30)) | v108(constB29))),
% 27.35/17.90 inference(transitivity,[status(thm)],[4750, 4748])).
% 27.35/17.90 tff(4752,plain,
% 27.35/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB29, constB30)) | v108(constB29) | (~v110(constB30)))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4753,plain,
% 27.35/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB29, constB30)) | (~v110(constB30)) | v108(constB29)),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4752, 4751])).
% 27.35/17.90 tff(4754,plain,
% 27.35/17.90 ((~v110(constB30)) | v108(constB29)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4753, 4642, 4117])).
% 27.35/17.90 tff(4755,plain,
% 27.35/17.90 (v108(constB29)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4754, 4747])).
% 27.35/17.90 tff(4756,plain,
% 27.35/17.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB29)) | v26(constB29) | v112(constB29))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB29)) | v26(constB29) | v112(constB29))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4757,plain,
% 27.35/17.90 ((v26(constB29) | v112(constB29) | (~v108(constB29))) <=> ((~v108(constB29)) | v26(constB29) | v112(constB29))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4758,plain,
% 27.35/17.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB29) | v112(constB29) | (~v108(constB29)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB29)) | v26(constB29) | v112(constB29)))),
% 27.35/17.90 inference(monotonicity,[status(thm)],[4757])).
% 27.35/17.90 tff(4759,plain,
% 27.35/17.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB29) | v112(constB29) | (~v108(constB29)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB29)) | v26(constB29) | v112(constB29))),
% 27.35/17.90 inference(transitivity,[status(thm)],[4758, 4756])).
% 27.35/17.90 tff(4760,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB29) | v112(constB29) | (~v108(constB29)))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4761,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB29)) | v26(constB29) | v112(constB29)),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4760, 4759])).
% 27.35/17.90 tff(4762,plain,
% 27.35/17.90 ((~v108(constB29)) | v112(constB29)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4761, 4660, 4099])).
% 27.35/17.90 tff(4763,plain,
% 27.35/17.90 (v112(constB29)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4762, 4755])).
% 27.35/17.90 tff(4764,plain,
% 27.35/17.90 (((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB29) | (~v112(constB29)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB29) | (~v112(constB29)))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4765,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB29) | (~v112(constB29)))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4766,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB29) | (~v112(constB29))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4765, 4764])).
% 27.35/17.90 tff(4767,plain,
% 27.35/17.90 (v113(constB29)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4766, 4678, 4763])).
% 27.35/17.90 tff(4768,plain,
% 27.35/17.90 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB29)) | v130(constB29, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB29)) | v130(constB29, 0))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4769,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB29)) | v130(constB29, 0))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4770,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB29)) | v130(constB29, 0)),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4769, 4768])).
% 27.35/17.90 tff(4771,plain,
% 27.35/17.90 (v130(constB29, 0)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4770, 1753, 4738])).
% 27.35/17.90 tff(4772,plain,
% 27.35/17.90 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB29)) | v130(constB29, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB29)) | v130(constB29, 2))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4773,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB29)) | v130(constB29, 2))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4774,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB29)) | v130(constB29, 2)),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4773, 4772])).
% 27.35/17.90 tff(4775,plain,
% 27.35/17.90 (v130(constB29, 2)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4774, 1656, 4738])).
% 27.35/17.90 tff(4776,assumption,(~v26(constB29)), introduced(assumption)).
% 27.35/17.90 tff(4777,assumption,(v113(constB29)), introduced(assumption)).
% 27.35/17.90 tff(4778,plain,
% 27.35/17.90 (v26(constB29) | v112(constB29)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4105, 328, 4777])).
% 27.35/17.90 tff(4779,plain,
% 27.35/17.90 (v112(constB29)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4778, 4776])).
% 27.35/17.90 tff(4780,plain,
% 27.35/17.90 (v108(constB29)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4113, 340, 4779])).
% 27.35/17.90 tff(4781,plain,
% 27.35/17.90 (v110(constB30)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4124, 4780])).
% 27.35/17.90 tff(4782,plain,
% 27.35/17.90 (v100(constB30)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4150, 4781])).
% 27.35/17.90 tff(4783,assumption,(v130(constB29, 2)), introduced(assumption)).
% 27.35/17.90 tff(4784,plain,
% 27.35/17.90 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB29) | (~v130(constB29, 2)) | v127(constB29, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB29) | (~v130(constB29, 2)) | v127(constB29, 2))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4785,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB29) | (~v130(constB29, 2)) | v127(constB29, 2))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4786,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB29) | (~v130(constB29, 2)) | v127(constB29, 2)),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4785, 4784])).
% 27.35/17.90 tff(4787,plain,
% 27.35/17.90 (v26(constB29) | v127(constB29, 2)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4786, 1498, 4783])).
% 27.35/17.90 tff(4788,plain,
% 27.35/17.90 (v127(constB29, 2)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4787, 4776])).
% 27.35/17.90 tff(4789,plain,
% 27.35/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB29, constB30)) | (~v127(constB29, 2)) | v129(constB30, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB29, constB30)) | (~v127(constB29, 2)) | v129(constB30, 2))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4790,plain,
% 27.35/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB29, constB30)) | (~v127(constB29, 2)) | v129(constB30, 2))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4791,plain,
% 27.35/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB29, constB30)) | (~v127(constB29, 2)) | v129(constB30, 2)),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4790, 4789])).
% 27.35/17.90 tff(4792,plain,
% 27.35/17.90 ((~v127(constB29, 2)) | v129(constB30, 2)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4791, 1513, 4117])).
% 27.35/17.90 tff(4793,plain,
% 27.35/17.90 (v129(constB30, 2)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4792, 4788])).
% 27.35/17.90 tff(4794,plain,
% 27.35/17.90 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB30, 2) | (~v129(constB30, 2)) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB30, 2) | (~v129(constB30, 2)) | (~v100(constB30)))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4795,plain,
% 27.35/17.90 ((v90(constB30, 2) | (~v100(constB30)) | (~v129(constB30, 2))) <=> (v90(constB30, 2) | (~v129(constB30, 2)) | (~v100(constB30)))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4796,plain,
% 27.35/17.90 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB30, 2) | (~v100(constB30)) | (~v129(constB30, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB30, 2) | (~v129(constB30, 2)) | (~v100(constB30))))),
% 27.35/17.90 inference(monotonicity,[status(thm)],[4795])).
% 27.35/17.90 tff(4797,plain,
% 27.35/17.90 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB30, 2) | (~v100(constB30)) | (~v129(constB30, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB30, 2) | (~v129(constB30, 2)) | (~v100(constB30)))),
% 27.35/17.90 inference(transitivity,[status(thm)],[4796, 4794])).
% 27.35/17.90 tff(4798,plain,
% 27.35/17.90 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB30, 2) | (~v100(constB30)) | (~v129(constB30, 2)))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4799,plain,
% 27.35/17.90 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB30, 2) | (~v129(constB30, 2)) | (~v100(constB30))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4798, 4797])).
% 27.35/17.90 tff(4800,plain,
% 27.35/17.90 (v90(constB30, 2) | (~v100(constB30))),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4799, 1528, 4793])).
% 27.35/17.90 tff(4801,plain,
% 27.35/17.90 (v90(constB30, 2)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4800, 4782])).
% 27.35/17.90 tff(4802,plain,
% 27.35/17.90 (v90(constB31, 2)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4579, 4801])).
% 27.35/17.90 tff(4803,assumption,(~v130(constB29, 1)), introduced(assumption)).
% 27.35/17.90 tff(4804,plain,
% 27.35/17.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB29, 1)) | v26(constB29) | v130(constB29, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB29, 1)) | v26(constB29) | v130(constB29, 1))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4805,plain,
% 27.35/17.90 ((v26(constB29) | v130(constB29, 1) | (~v127(constB29, 1))) <=> ((~v127(constB29, 1)) | v26(constB29) | v130(constB29, 1))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4806,plain,
% 27.35/17.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB29) | v130(constB29, 1) | (~v127(constB29, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB29, 1)) | v26(constB29) | v130(constB29, 1)))),
% 27.35/17.90 inference(monotonicity,[status(thm)],[4805])).
% 27.35/17.90 tff(4807,plain,
% 27.35/17.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB29) | v130(constB29, 1) | (~v127(constB29, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB29, 1)) | v26(constB29) | v130(constB29, 1))),
% 27.35/17.90 inference(transitivity,[status(thm)],[4806, 4804])).
% 27.35/17.90 tff(4808,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB29) | v130(constB29, 1) | (~v127(constB29, 1)))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4809,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB29, 1)) | v26(constB29) | v130(constB29, 1)),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4808, 4807])).
% 27.35/17.90 tff(4810,plain,
% 27.35/17.90 ((~v127(constB29, 1)) | v26(constB29)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4809, 541, 4803])).
% 27.35/17.90 tff(4811,plain,
% 27.35/17.90 (~v127(constB29, 1)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4810, 4776])).
% 27.35/17.90 tff(4812,plain,
% 27.35/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB29, constB30)) | v127(constB29, 1) | (~v129(constB30, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB29, constB30)) | v127(constB29, 1) | (~v129(constB30, 1)))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4813,plain,
% 27.35/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB29, constB30)) | v127(constB29, 1) | (~v129(constB30, 1)))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4814,plain,
% 27.35/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB29, constB30)) | v127(constB29, 1) | (~v129(constB30, 1))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4813, 4812])).
% 27.35/17.90 tff(4815,plain,
% 27.35/17.90 (v127(constB29, 1) | (~v129(constB30, 1))),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4814, 559, 4117])).
% 27.35/17.90 tff(4816,plain,
% 27.35/17.90 (~v129(constB30, 1)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4815, 4811])).
% 27.35/17.90 tff(4817,plain,
% 27.35/17.90 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB30, 1)) | v129(constB30, 1) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB30, 1)) | v129(constB30, 1) | (~v100(constB30)))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4818,plain,
% 27.35/17.90 (((~v90(constB30, 1)) | (~v100(constB30)) | v129(constB30, 1)) <=> ((~v90(constB30, 1)) | v129(constB30, 1) | (~v100(constB30)))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4819,plain,
% 27.35/17.90 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB30, 1)) | (~v100(constB30)) | v129(constB30, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB30, 1)) | v129(constB30, 1) | (~v100(constB30))))),
% 27.35/17.90 inference(monotonicity,[status(thm)],[4818])).
% 27.35/17.90 tff(4820,plain,
% 27.35/17.90 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB30, 1)) | (~v100(constB30)) | v129(constB30, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB30, 1)) | v129(constB30, 1) | (~v100(constB30)))),
% 27.35/17.90 inference(transitivity,[status(thm)],[4819, 4817])).
% 27.35/17.90 tff(4821,plain,
% 27.35/17.90 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB30, 1)) | (~v100(constB30)) | v129(constB30, 1))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4822,plain,
% 27.35/17.90 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB30, 1)) | v129(constB30, 1) | (~v100(constB30))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4821, 4820])).
% 27.35/17.90 tff(4823,plain,
% 27.35/17.90 ((~v90(constB30, 1)) | (~v100(constB30))),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4822, 574, 4816])).
% 27.35/17.90 tff(4824,plain,
% 27.35/17.90 (~v90(constB30, 1)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4823, 4782])).
% 27.35/17.90 tff(4825,plain,
% 27.35/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB30, 1) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB30, 1) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 1)))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4826,plain,
% 27.35/17.90 (((~nextState(constB30, constB31)) | v90(constB30, 1) | v100(constB31) | (~v90(constB31, 1))) <=> (v90(constB30, 1) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 1)))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4827,plain,
% 27.35/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB30, constB31)) | v90(constB30, 1) | v100(constB31) | (~v90(constB31, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB30, 1) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 1))))),
% 27.35/17.90 inference(monotonicity,[status(thm)],[4826])).
% 27.35/17.90 tff(4828,plain,
% 27.35/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB30, constB31)) | v90(constB30, 1) | v100(constB31) | (~v90(constB31, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB30, 1) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 1)))),
% 27.35/17.90 inference(transitivity,[status(thm)],[4827, 4825])).
% 27.35/17.90 tff(4829,plain,
% 27.35/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB30, constB31)) | v90(constB30, 1) | v100(constB31) | (~v90(constB31, 1)))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4830,plain,
% 27.35/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB30, 1) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 1))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4829, 4828])).
% 27.35/17.90 tff(4831,plain,
% 27.35/17.90 (v90(constB30, 1) | v100(constB31) | (~v90(constB31, 1))),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4830, 191, 4181])).
% 27.35/17.90 tff(4832,plain,
% 27.35/17.90 (v90(constB30, 1) | (~v90(constB31, 1))),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4831, 4193])).
% 27.35/17.90 tff(4833,plain,
% 27.35/17.90 (~v90(constB31, 1)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4832, 4824])).
% 27.35/17.90 tff(4834,assumption,(v130(constB29, 0)), introduced(assumption)).
% 27.35/17.90 tff(4835,plain,
% 27.35/17.90 (v26(constB29) | v127(constB29, 0)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4209, 612, 4834])).
% 27.35/17.90 tff(4836,plain,
% 27.35/17.90 (v127(constB29, 0)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4835, 4776])).
% 27.35/17.90 tff(4837,plain,
% 27.35/17.90 (v129(constB30, 0)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4215, 4836])).
% 27.35/17.90 tff(4838,plain,
% 27.35/17.90 (v90(constB30, 0) | (~v100(constB30))),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4222, 642, 4837])).
% 27.35/17.90 tff(4839,plain,
% 27.35/17.90 (v90(constB30, 0)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4838, 4782])).
% 27.35/17.90 tff(4840,plain,
% 27.35/17.90 (v90(constB31, 0)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4232, 4839])).
% 27.35/17.90 tff(4841,plain,
% 27.35/17.90 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB31, 0)) | v90(constB31, 1) | (~v90(constB31, 2)) | v124(constB31))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB31, 0)) | v90(constB31, 1) | (~v90(constB31, 2)) | v124(constB31))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4842,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB31, 0)) | v90(constB31, 1) | (~v90(constB31, 2)) | v124(constB31))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4843,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB31, 0)) | v90(constB31, 1) | (~v90(constB31, 2)) | v124(constB31)),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4842, 4841])).
% 27.35/17.90 tff(4844,plain,
% 27.35/17.90 (v124(constB31)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4843, 1794, 4840, 4833, 4802])).
% 27.35/17.90 tff(4845,plain,
% 27.35/17.90 (v100(constB32)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4616, 4802, 4316])).
% 27.35/17.90 tff(4846,plain,
% 27.35/17.90 (~v129(constB32, 2)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4356, 4845])).
% 27.35/17.90 tff(4847,plain,
% 27.35/17.90 (~v127(constB31, 2)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4348, 4846])).
% 27.35/17.90 tff(4848,plain,
% 27.35/17.90 (~v130(constB31, 2)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4343, 4847])).
% 27.35/17.90 tff(4849,plain,
% 27.35/17.90 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB31)) | v130(constB31, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB31)) | v130(constB31, 2))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4850,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB31)) | v130(constB31, 2))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4851,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB31)) | v130(constB31, 2)),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4850, 4849])).
% 27.35/17.90 tff(4852,plain,
% 27.35/17.90 ($false),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4851, 1873, 4848, 4844])).
% 27.35/17.90 tff(4853,plain,(v26(constB29) | v90(constB32, 2) | (~v113(constB29)) | (~v130(constB29, 2)) | v130(constB29, 1) | (~v130(constB29, 0))), inference(lemma,lemma(discharge,[]))).
% 27.35/17.90 tff(4854,plain,
% 27.35/17.90 ($false),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4853, 4775, 4771, 4099, 4767, 4742, 4316])).
% 27.35/17.90 tff(4855,plain,((~v123(constB29)) | v90(constB32, 2)), inference(lemma,lemma(discharge,[]))).
% 27.35/17.90 tff(4856,plain,
% 27.35/17.90 (~v123(constB29)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4855, 4316])).
% 27.35/17.90 tff(4857,plain,
% 27.35/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB28, 2)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB28, 2)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 2))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4858,plain,
% 27.35/17.90 (((~nextState(constB28, constB29)) | (~v90(constB28, 2)) | v100(constB29) | v90(constB29, 2)) <=> ((~v90(constB28, 2)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 2))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4859,plain,
% 27.35/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB28, constB29)) | (~v90(constB28, 2)) | v100(constB29) | v90(constB29, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB28, 2)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 2)))),
% 27.35/17.90 inference(monotonicity,[status(thm)],[4858])).
% 27.35/17.90 tff(4860,plain,
% 27.35/17.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB28, constB29)) | (~v90(constB28, 2)) | v100(constB29) | v90(constB29, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB28, 2)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 2))),
% 27.35/17.90 inference(transitivity,[status(thm)],[4859, 4857])).
% 27.35/17.90 tff(4861,plain,
% 27.35/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB28, constB29)) | (~v90(constB28, 2)) | v100(constB29) | v90(constB29, 2))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4862,plain,
% 27.35/17.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB28, 2)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 2)),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4861, 4860])).
% 27.35/17.90 tff(4863,plain,
% 27.35/17.90 ((~v90(constB28, 2)) | v100(constB29) | v90(constB29, 2)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4862, 1546, 3729])).
% 27.35/17.90 tff(4864,plain,
% 27.35/17.90 ((~v90(constB28, 2)) | v90(constB29, 2)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4863, 3741])).
% 27.35/17.90 tff(4865,plain,
% 27.35/17.90 (v90(constB29, 2)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4864, 4023])).
% 27.35/17.90 tff(4866,plain,
% 27.35/17.90 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB29)) | (~v90(constB29, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB29)) | (~v90(constB29, 2)))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4867,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB29)) | (~v90(constB29, 2)))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4868,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB29)) | (~v90(constB29, 2))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4867, 4866])).
% 27.35/17.90 tff(4869,plain,
% 27.35/17.90 (~v122(constB29)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4868, 2119, 4865])).
% 27.35/17.90 tff(4870,plain,
% 27.35/17.90 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v90(VarCurr, 0)) <=> ((~v124(VarCurr)) | v90(VarCurr, 0)))),
% 27.35/17.90 inference(bind,[status(th)],[])).
% 27.35/17.90 tff(4871,plain,
% 27.35/17.90 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))),
% 27.35/17.90 inference(quant_intro,[status(thm)],[4870])).
% 27.35/17.90 tff(4872,plain,
% 27.35/17.90 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4873,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_3')).
% 27.35/17.90 tff(4874,plain,
% 27.35/17.90 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4873, 4872])).
% 27.35/17.90 tff(4875,plain,(
% 27.35/17.90 ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))),
% 27.35/17.90 inference(skolemize,[status(sab)],[4874])).
% 27.35/17.90 tff(4876,plain,
% 27.35/17.90 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4875, 4871])).
% 27.35/17.90 tff(4877,plain,
% 27.35/17.90 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB29)) | v90(constB29, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB29)) | v90(constB29, 0))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4878,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB29)) | v90(constB29, 0))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4879,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB29)) | v90(constB29, 0)),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4878, 4877])).
% 27.35/17.90 tff(4880,plain,
% 27.35/17.90 (~v124(constB29)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4879, 4876, 3750])).
% 27.35/17.90 tff(4881,plain,
% 27.35/17.90 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB29)) | (~v90(constB29, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB29)) | (~v90(constB29, 2)))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4882,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB29)) | (~v90(constB29, 2)))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4883,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB29)) | (~v90(constB29, 2))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4882, 4881])).
% 27.35/17.90 tff(4884,plain,
% 27.35/17.90 (~v120(constB29)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4883, 3898, 4865])).
% 27.35/17.90 tff(4885,plain,
% 27.35/17.90 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB29)) | (~v90(constB29, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB29)) | (~v90(constB29, 2)))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4886,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB29)) | (~v90(constB29, 2)))),
% 27.35/17.90 inference(quant_inst,[status(thm)],[])).
% 27.35/17.90 tff(4887,plain,
% 27.35/17.90 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB29)) | (~v90(constB29, 2))),
% 27.35/17.90 inference(modus_ponens,[status(thm)],[4886, 4885])).
% 27.35/17.90 tff(4888,plain,
% 27.35/17.90 (~v119(constB29)),
% 27.35/17.90 inference(unit_resolution,[status(thm)],[4887, 3887, 4865])).
% 27.35/17.90 tff(4889,plain,
% 27.35/17.90 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | v130(constB29, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | v130(constB29, 0))),
% 27.35/17.90 inference(rewrite,[status(thm)],[])).
% 27.35/17.90 tff(4890,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | v130(constB29, 0))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(4891,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | v130(constB29, 0)),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[4890, 4889])).
% 27.35/17.91 tff(4892,plain,
% 27.35/17.91 (v130(constB29, 0)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4891, 2258, 4888, 4884, 4472, 4880, 3721, 4869])).
% 27.35/17.91 tff(4893,plain,
% 27.35/17.91 (v127(constB29, 0)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4210, 4892])).
% 27.35/17.91 tff(4894,plain,
% 27.35/17.91 (v129(constB30, 0)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4215, 4893])).
% 27.35/17.91 tff(4895,plain,
% 27.35/17.91 (v90(constB30, 0)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4223, 4894])).
% 27.35/17.91 tff(4896,plain,
% 27.35/17.91 (v90(constB31, 0)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4232, 4895])).
% 27.35/17.91 tff(4897,plain,
% 27.35/17.91 (v100(constB32)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4314, 4896, 4307])).
% 27.35/17.91 tff(4898,plain,
% 27.35/17.91 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB32, 1) | (~v129(constB32, 1)) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB32, 1) | (~v129(constB32, 1)) | (~v100(constB32)))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(4899,plain,
% 27.35/17.91 ((v90(constB32, 1) | (~v100(constB32)) | (~v129(constB32, 1))) <=> (v90(constB32, 1) | (~v129(constB32, 1)) | (~v100(constB32)))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(4900,plain,
% 27.35/17.91 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB32, 1) | (~v100(constB32)) | (~v129(constB32, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB32, 1) | (~v129(constB32, 1)) | (~v100(constB32))))),
% 27.35/17.91 inference(monotonicity,[status(thm)],[4899])).
% 27.35/17.91 tff(4901,plain,
% 27.35/17.91 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB32, 1) | (~v100(constB32)) | (~v129(constB32, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB32, 1) | (~v129(constB32, 1)) | (~v100(constB32)))),
% 27.35/17.91 inference(transitivity,[status(thm)],[4900, 4898])).
% 27.35/17.91 tff(4902,plain,
% 27.35/17.91 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB32, 1) | (~v100(constB32)) | (~v129(constB32, 1)))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(4903,plain,
% 27.35/17.91 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB32, 1) | (~v129(constB32, 1)) | (~v100(constB32))),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[4902, 4901])).
% 27.35/17.91 tff(4904,plain,
% 27.35/17.91 ((~v129(constB32, 1)) | (~v100(constB32))),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4903, 885, 4298])).
% 27.35/17.91 tff(4905,plain,
% 27.35/17.91 (~v129(constB32, 1)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4904, 4897])).
% 27.35/17.91 tff(4906,plain,
% 27.35/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB31, constB32)) | (~v127(constB31, 1)) | v129(constB32, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB31, constB32)) | (~v127(constB31, 1)) | v129(constB32, 1))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(4907,plain,
% 27.35/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB31, constB32)) | (~v127(constB31, 1)) | v129(constB32, 1))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(4908,plain,
% 27.35/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB31, constB32)) | (~v127(constB31, 1)) | v129(constB32, 1)),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[4907, 4906])).
% 27.35/17.91 tff(4909,plain,
% 27.35/17.91 ((~v127(constB31, 1)) | v129(constB32, 1)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4908, 870, 4291])).
% 27.35/17.91 tff(4910,plain,
% 27.35/17.91 (~v127(constB31, 1)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4909, 4905])).
% 27.35/17.91 tff(4911,plain,
% 27.35/17.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB31) | (~v130(constB31, 1)) | v127(constB31, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB31) | (~v130(constB31, 1)) | v127(constB31, 1))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(4912,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB31) | (~v130(constB31, 1)) | v127(constB31, 1))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(4913,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB31) | (~v130(constB31, 1)) | v127(constB31, 1)),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[4912, 4911])).
% 27.35/17.91 tff(4914,plain,
% 27.35/17.91 ((~v130(constB31, 1)) | v127(constB31, 1)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4913, 855, 4280])).
% 27.35/17.91 tff(4915,plain,
% 27.35/17.91 (~v130(constB31, 1)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4914, 4910])).
% 27.35/17.91 tff(4916,plain,
% 27.35/17.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB31)) | v130(constB31, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB31)) | v130(constB31, 1))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(4917,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB31)) | v130(constB31, 1))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(4918,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB31)) | v130(constB31, 1)),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[4917, 4916])).
% 27.35/17.91 tff(4919,plain,
% 27.35/17.91 (~v120(constB31)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4918, 841, 4915])).
% 27.35/17.91 tff(4920,plain,
% 27.35/17.91 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | (~v130(constB29, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | (~v130(constB29, 2)))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(4921,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | (~v130(constB29, 2)))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(4922,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | (~v130(constB29, 2))),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[4921, 4920])).
% 27.35/17.91 tff(4923,plain,
% 27.35/17.91 (~v130(constB29, 2)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4922, 2155, 4888, 4884, 4472, 4880, 3721, 4869])).
% 27.35/17.91 tff(4924,plain,
% 27.35/17.91 (~v127(constB29, 2)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4163, 4923])).
% 27.35/17.91 tff(4925,plain,
% 27.35/17.91 (~v129(constB30, 2)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4168, 4924])).
% 27.35/17.91 tff(4926,plain,
% 27.35/17.91 (~v90(constB30, 2)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4174, 4925])).
% 27.35/17.91 tff(4927,plain,
% 27.35/17.91 (~v90(constB31, 2)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4201, 4926])).
% 27.35/17.91 tff(4928,plain,
% 27.35/17.91 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | (~v130(constB29, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | (~v130(constB29, 1)))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(4929,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | (~v130(constB29, 1)))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(4930,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | (~v130(constB29, 1))),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[4929, 4928])).
% 27.35/17.91 tff(4931,plain,
% 27.35/17.91 (~v130(constB29, 1)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4930, 2214, 4888, 4884, 4472, 4880, 3721, 4869])).
% 27.35/17.91 tff(4932,plain,
% 27.35/17.91 ((~v127(constB29, 1)) | v130(constB29, 1)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4809, 541, 4099])).
% 27.35/17.91 tff(4933,plain,
% 27.35/17.91 (~v127(constB29, 1)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4932, 4931])).
% 27.35/17.91 tff(4934,plain,
% 27.35/17.91 (~v129(constB30, 1)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4815, 4933])).
% 27.35/17.91 tff(4935,plain,
% 27.35/17.91 ((~v90(constB30, 1)) | v129(constB30, 1)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4822, 574, 4170])).
% 27.35/17.91 tff(4936,plain,
% 27.35/17.91 (~v90(constB30, 1)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4935, 4934])).
% 27.35/17.91 tff(4937,plain,
% 27.35/17.91 (~v90(constB31, 1)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4832, 4936])).
% 27.35/17.91 tff(4938,plain,
% 27.35/17.91 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB31, 0)) | v90(constB31, 1) | v90(constB31, 2) | v120(constB31))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB31, 0)) | v90(constB31, 1) | v90(constB31, 2) | v120(constB31))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(4939,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB31, 0)) | v90(constB31, 1) | v90(constB31, 2) | v120(constB31))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(4940,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB31, 0)) | v90(constB31, 1) | v90(constB31, 2) | v120(constB31)),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[4939, 4938])).
% 27.35/17.91 tff(4941,plain,
% 27.35/17.91 ($false),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4940, 679, 4896, 4937, 4927, 4919])).
% 27.35/17.91 tff(4942,plain,(v90(constB28, 0) | v90(constB32, 1) | v90(constB32, 0) | (~v100(constB30)) | v123(constB29) | v121(constB29)), inference(lemma,lemma(discharge,[]))).
% 27.35/17.91 tff(4943,plain,
% 27.35/17.91 (v90(constB28, 0)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4942, 4298, 4307, 4736, 4856, 4737])).
% 27.35/17.91 tff(4944,plain,
% 27.35/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB28, 0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB28, 0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 0))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(4945,plain,
% 27.35/17.91 (((~nextState(constB28, constB29)) | (~v90(constB28, 0)) | v100(constB29) | v90(constB29, 0)) <=> ((~v90(constB28, 0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 0))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(4946,plain,
% 27.35/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB28, constB29)) | (~v90(constB28, 0)) | v100(constB29) | v90(constB29, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB28, 0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 0)))),
% 27.35/17.91 inference(monotonicity,[status(thm)],[4945])).
% 27.35/17.91 tff(4947,plain,
% 27.35/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB28, constB29)) | (~v90(constB28, 0)) | v100(constB29) | v90(constB29, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB28, 0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 0))),
% 27.35/17.91 inference(transitivity,[status(thm)],[4946, 4944])).
% 27.35/17.91 tff(4948,plain,
% 27.35/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB28, constB29)) | (~v90(constB28, 0)) | v100(constB29) | v90(constB29, 0))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(4949,plain,
% 27.35/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB28, 0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 0)),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[4948, 4947])).
% 27.35/17.91 tff(4950,plain,
% 27.35/17.91 ((~v90(constB28, 0)) | v100(constB29) | v90(constB29, 0)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4949, 660, 3729])).
% 27.35/17.91 tff(4951,plain,
% 27.35/17.91 ((~v90(constB28, 0)) | v90(constB29, 0)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4950, 3741])).
% 27.35/17.91 tff(4952,plain,
% 27.35/17.91 (v90(constB29, 0)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4951, 4943])).
% 27.35/17.91 tff(4953,plain,
% 27.35/17.91 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v90(VarCurr, 0))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, 0))))),
% 27.35/17.91 inference(bind,[status(th)],[])).
% 27.35/17.91 tff(4954,plain,
% 27.35/17.91 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))),
% 27.35/17.91 inference(quant_intro,[status(thm)],[4953])).
% 27.35/17.91 tff(4955,plain,
% 27.35/17.91 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(4956,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_4')).
% 27.35/17.91 tff(4957,plain,
% 27.35/17.91 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[4956, 4955])).
% 27.35/17.91 tff(4958,plain,(
% 27.35/17.91 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))),
% 27.35/17.91 inference(skolemize,[status(sab)],[4957])).
% 27.35/17.91 tff(4959,plain,
% 27.35/17.91 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[4958, 4954])).
% 27.35/17.91 tff(4960,plain,
% 27.35/17.91 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB29)) | (~v90(constB29, 0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB29)) | (~v90(constB29, 0)))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(4961,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB29)) | (~v90(constB29, 0)))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(4962,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB29)) | (~v90(constB29, 0))),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[4961, 4960])).
% 27.35/17.91 tff(4963,plain,
% 27.35/17.91 (~v119(constB29)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4962, 4959, 4952])).
% 27.35/17.91 tff(4964,assumption,(~v90(constB30, 0)), introduced(assumption)).
% 27.35/17.91 tff(4965,plain,
% 27.35/17.91 (v90(constB30, 0) | (~v129(constB30, 0))),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4222, 642, 4736])).
% 27.35/17.91 tff(4966,plain,
% 27.35/17.91 (~v129(constB30, 0)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4965, 4964])).
% 27.35/17.91 tff(4967,plain,
% 27.35/17.91 (~v127(constB29, 0)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4215, 4966])).
% 27.35/17.91 tff(4968,plain,
% 27.35/17.91 (~v130(constB29, 0)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4210, 4967])).
% 27.35/17.91 tff(4969,plain,
% 27.35/17.91 (~v90(constB31, 2)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4616, 4297, 4316])).
% 27.35/17.91 tff(4970,plain,
% 27.35/17.91 (~v90(constB30, 2)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4579, 4969])).
% 27.35/17.91 tff(4971,plain,
% 27.35/17.91 (v90(constB30, 2) | (~v129(constB30, 2))),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4799, 1528, 4736])).
% 27.35/17.91 tff(4972,plain,
% 27.35/17.91 (~v129(constB30, 2)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4971, 4970])).
% 27.35/17.91 tff(4973,plain,
% 27.35/17.91 (~v127(constB29, 2)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4792, 4972])).
% 27.35/17.91 tff(4974,plain,
% 27.35/17.91 ((~v130(constB29, 2)) | v127(constB29, 2)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4786, 1498, 4099])).
% 27.35/17.91 tff(4975,plain,
% 27.35/17.91 (~v130(constB29, 2)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4974, 4973])).
% 27.35/17.91 tff(4976,plain,
% 27.35/17.91 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB29)) | v130(constB29, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB29)) | v130(constB29, 2))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(4977,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB29)) | v130(constB29, 2))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(4978,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB29)) | v130(constB29, 2)),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[4977, 4976])).
% 27.35/17.91 tff(4979,plain,
% 27.35/17.91 (~v122(constB29)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4978, 1484, 4975])).
% 27.35/17.91 tff(4980,assumption,(~v130(constB29, 0)), introduced(assumption)).
% 27.35/17.91 tff(4981,plain,
% 27.35/17.91 (~v90(constB31, 1)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4305, 4297, 4298])).
% 27.35/17.91 tff(4982,plain,
% 27.35/17.91 (~v90(constB30, 1)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4263, 4981])).
% 27.35/17.91 tff(4983,plain,
% 27.35/17.91 (v90(constB30, 1) | (~v129(constB30, 1))),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4253, 885, 4736])).
% 27.35/17.91 tff(4984,plain,
% 27.35/17.91 (~v129(constB30, 1)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4983, 4982])).
% 27.35/17.91 tff(4985,plain,
% 27.35/17.91 (~v127(constB29, 1)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4246, 4984])).
% 27.35/17.91 tff(4986,plain,
% 27.35/17.91 (~v130(constB29, 1)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4241, 4985])).
% 27.35/17.91 tff(4987,plain,
% 27.35/17.91 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB29)) | v130(constB29, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB29)) | v130(constB29, 1))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(4988,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB29)) | v130(constB29, 1))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(4989,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB29)) | v130(constB29, 1)),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[4988, 4987])).
% 27.35/17.91 tff(4990,plain,
% 27.35/17.91 (~v124(constB29)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4989, 1929, 4986])).
% 27.35/17.91 tff(4991,plain,
% 27.35/17.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB29)) | v130(constB29, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB29)) | v130(constB29, 1))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(4992,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB29)) | v130(constB29, 1))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(4993,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB29)) | v130(constB29, 1)),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[4992, 4991])).
% 27.35/17.91 tff(4994,plain,
% 27.35/17.91 (~v120(constB29)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4993, 841, 4986])).
% 27.35/17.91 tff(4995,plain,
% 27.35/17.91 (v120(constB29) | v122(constB29) | v124(constB29) | v130(constB29, 0)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4891, 2258, 4450, 4856, 4737])).
% 27.35/17.91 tff(4996,plain,
% 27.35/17.91 ($false),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4995, 4994, 4990, 4980, 4979])).
% 27.35/17.91 tff(4997,plain,(v100(constB32) | v130(constB29, 0) | v119(constB29) | v90(constB32, 2) | v90(constB32, 1)), inference(lemma,lemma(discharge,[]))).
% 27.35/17.91 tff(4998,plain,
% 27.35/17.91 (v100(constB32)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4997, 4968, 4963, 4316, 4298])).
% 27.35/17.91 tff(4999,plain,
% 27.35/17.91 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB32, 0) | (~v129(constB32, 0)) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB32, 0) | (~v129(constB32, 0)) | (~v100(constB32)))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(5000,plain,
% 27.35/17.91 ((v90(constB32, 0) | (~v100(constB32)) | (~v129(constB32, 0))) <=> (v90(constB32, 0) | (~v129(constB32, 0)) | (~v100(constB32)))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(5001,plain,
% 27.35/17.91 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB32, 0) | (~v100(constB32)) | (~v129(constB32, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB32, 0) | (~v129(constB32, 0)) | (~v100(constB32))))),
% 27.35/17.91 inference(monotonicity,[status(thm)],[5000])).
% 27.35/17.91 tff(5002,plain,
% 27.35/17.91 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB32, 0) | (~v100(constB32)) | (~v129(constB32, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB32, 0) | (~v129(constB32, 0)) | (~v100(constB32)))),
% 27.35/17.91 inference(transitivity,[status(thm)],[5001, 4999])).
% 27.35/17.91 tff(5003,plain,
% 27.35/17.91 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB32, 0) | (~v100(constB32)) | (~v129(constB32, 0)))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(5004,plain,
% 27.35/17.91 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB32, 0) | (~v129(constB32, 0)) | (~v100(constB32))),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[5003, 5002])).
% 27.35/17.91 tff(5005,plain,
% 27.35/17.91 ((~v129(constB32, 0)) | (~v100(constB32))),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5004, 642, 4307])).
% 27.35/17.91 tff(5006,plain,
% 27.35/17.91 (~v129(constB32, 0)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5005, 4998])).
% 27.35/17.91 tff(5007,plain,
% 27.35/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB31, constB32)) | (~v127(constB31, 0)) | v129(constB32, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB31, constB32)) | (~v127(constB31, 0)) | v129(constB32, 0))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(5008,plain,
% 27.35/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB31, constB32)) | (~v127(constB31, 0)) | v129(constB32, 0))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(5009,plain,
% 27.35/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB31, constB32)) | (~v127(constB31, 0)) | v129(constB32, 0)),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[5008, 5007])).
% 27.35/17.91 tff(5010,plain,
% 27.35/17.91 ((~v127(constB31, 0)) | v129(constB32, 0)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5009, 627, 4291])).
% 27.35/17.91 tff(5011,plain,
% 27.35/17.91 (~v127(constB31, 0)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5010, 5006])).
% 27.35/17.91 tff(5012,plain,
% 27.35/17.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB31) | (~v130(constB31, 0)) | v127(constB31, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB31) | (~v130(constB31, 0)) | v127(constB31, 0))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(5013,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB31) | (~v130(constB31, 0)) | v127(constB31, 0))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(5014,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB31) | (~v130(constB31, 0)) | v127(constB31, 0)),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[5013, 5012])).
% 27.35/17.91 tff(5015,plain,
% 27.35/17.91 ((~v130(constB31, 0)) | v127(constB31, 0)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5014, 612, 4280])).
% 27.35/17.91 tff(5016,plain,
% 27.35/17.91 (~v130(constB31, 0)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5015, 5011])).
% 27.35/17.91 tff(5017,plain,
% 27.35/17.91 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB31)) | v130(constB31, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB31)) | v130(constB31, 0))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(5018,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB31)) | v130(constB31, 0))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(5019,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB31)) | v130(constB31, 0)),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[5018, 5017])).
% 27.35/17.91 tff(5020,plain,
% 27.35/17.91 (~v119(constB31)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5019, 598, 5016])).
% 27.35/17.91 tff(5021,plain,
% 27.35/17.91 (~v129(constB32, 2)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4356, 4998])).
% 27.35/17.91 tff(5022,plain,
% 27.35/17.91 (~v127(constB31, 2)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4348, 5021])).
% 27.35/17.91 tff(5023,plain,
% 27.35/17.91 (~v130(constB31, 2)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4343, 5022])).
% 27.35/17.91 tff(5024,plain,
% 27.35/17.91 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB31)) | v130(constB31, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB31)) | v130(constB31, 2))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(5025,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB31)) | v130(constB31, 2))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(5026,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB31)) | v130(constB31, 2)),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[5025, 5024])).
% 27.35/17.91 tff(5027,plain,
% 27.35/17.91 (~v123(constB31)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5026, 1656, 5023])).
% 27.35/17.91 tff(5028,plain,
% 27.35/17.91 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB31)) | v130(constB31, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB31)) | v130(constB31, 0))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(5029,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB31)) | v130(constB31, 0))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(5030,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB31)) | v130(constB31, 0)),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[5029, 5028])).
% 27.35/17.91 tff(5031,plain,
% 27.35/17.91 (~v121(constB31)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5030, 1099, 5016])).
% 27.35/17.91 tff(5032,plain,
% 27.35/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB30, 0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB30, 0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 0)))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(5033,plain,
% 27.35/17.91 (((~nextState(constB30, constB31)) | v90(constB30, 0) | v100(constB31) | (~v90(constB31, 0))) <=> (v90(constB30, 0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 0)))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(5034,plain,
% 27.35/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB30, constB31)) | v90(constB30, 0) | v100(constB31) | (~v90(constB31, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB30, 0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 0))))),
% 27.35/17.91 inference(monotonicity,[status(thm)],[5033])).
% 27.35/17.91 tff(5035,plain,
% 27.35/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB30, constB31)) | v90(constB30, 0) | v100(constB31) | (~v90(constB31, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB30, 0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 0)))),
% 27.35/17.91 inference(transitivity,[status(thm)],[5034, 5032])).
% 27.35/17.91 tff(5036,plain,
% 27.35/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB30, constB31)) | v90(constB30, 0) | v100(constB31) | (~v90(constB31, 0)))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(5037,plain,
% 27.35/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB30, 0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 0))),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[5036, 5035])).
% 27.35/17.91 tff(5038,plain,
% 27.35/17.91 (v90(constB30, 0) | v100(constB31) | (~v90(constB31, 0))),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5037, 212, 4181])).
% 27.35/17.91 tff(5039,plain,
% 27.35/17.91 (v90(constB30, 0) | (~v90(constB31, 0))),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5038, 4193])).
% 27.35/17.91 tff(5040,plain,
% 27.35/17.91 (~v90(constB31, 0)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5039, 4964])).
% 27.35/17.91 tff(5041,plain,
% 27.35/17.91 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | v90(VarCurr, 0)) <=> ((~v120(VarCurr)) | v90(VarCurr, 0)))),
% 27.35/17.91 inference(bind,[status(th)],[])).
% 27.35/17.91 tff(5042,plain,
% 27.35/17.91 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))),
% 27.35/17.91 inference(quant_intro,[status(thm)],[5041])).
% 27.35/17.91 tff(5043,plain,
% 27.35/17.91 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(5044,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_2')).
% 27.35/17.91 tff(5045,plain,
% 27.35/17.91 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[5044, 5043])).
% 27.35/17.91 tff(5046,plain,(
% 27.35/17.91 ![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))),
% 27.35/17.91 inference(skolemize,[status(sab)],[5045])).
% 27.35/17.91 tff(5047,plain,
% 27.35/17.91 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[5046, 5042])).
% 27.35/17.91 tff(5048,plain,
% 27.35/17.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB31)) | v90(constB31, 0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB31)) | v90(constB31, 0))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(5049,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB31)) | v90(constB31, 0))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(5050,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB31)) | v90(constB31, 0)),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[5049, 5048])).
% 27.35/17.91 tff(5051,plain,
% 27.35/17.91 (~v120(constB31)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5050, 5047, 5040])).
% 27.35/17.91 tff(5052,plain,
% 27.35/17.91 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB31)) | v90(constB31, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB31)) | v90(constB31, 0))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(5053,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB31)) | v90(constB31, 0))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(5054,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB31)) | v90(constB31, 0)),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[5053, 5052])).
% 27.35/17.91 tff(5055,plain,
% 27.35/17.91 (~v124(constB31)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5054, 4876, 5040])).
% 27.35/17.91 tff(5056,plain,
% 27.35/17.91 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB31) | v120(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | v130(constB31, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB31) | v120(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | v130(constB31, 0))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(5057,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB31) | v120(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | v130(constB31, 0))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(5058,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB31) | v120(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | v130(constB31, 0)),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[5057, 5056])).
% 27.35/17.91 tff(5059,plain,
% 27.35/17.91 (v119(constB31) | v121(constB31) | v123(constB31) | v130(constB31, 0)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5058, 2258, 4415, 5055, 5051])).
% 27.35/17.91 tff(5060,plain,
% 27.35/17.91 ($false),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5059, 5031, 5027, 5016, 5020])).
% 27.35/17.91 tff(5061,plain,(v90(constB30, 0) | v90(constB32, 0) | v90(constB32, 2) | v90(constB32, 1)), inference(lemma,lemma(discharge,[]))).
% 27.35/17.91 tff(5062,plain,
% 27.35/17.91 (v90(constB30, 0)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5061, 4298, 4316, 4307])).
% 27.35/17.91 tff(5063,plain,
% 27.35/17.91 (v90(constB31, 0)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4232, 5062])).
% 27.35/17.91 tff(5064,plain,
% 27.35/17.91 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB31)) | (~v90(constB31, 0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB31)) | (~v90(constB31, 0)))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(5065,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB31)) | (~v90(constB31, 0)))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(5066,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB31)) | (~v90(constB31, 0))),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[5065, 5064])).
% 27.35/17.91 tff(5067,plain,
% 27.35/17.91 (~v119(constB31)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5066, 4959, 5063])).
% 27.35/17.91 tff(5068,plain,
% 27.35/17.91 (~v121(constB31)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4516, 4513, 5063])).
% 27.35/17.91 tff(5069,plain,
% 27.35/17.91 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | (~v90(VarCurr, 0))) <=> ((~v123(VarCurr)) | (~v90(VarCurr, 0))))),
% 27.35/17.91 inference(bind,[status(th)],[])).
% 27.35/17.91 tff(5070,plain,
% 27.35/17.91 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))),
% 27.35/17.91 inference(quant_intro,[status(thm)],[5069])).
% 27.35/17.91 tff(5071,plain,
% 27.35/17.91 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(5072,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_4')).
% 27.35/17.91 tff(5073,plain,
% 27.35/17.91 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[5072, 5071])).
% 27.35/17.91 tff(5074,plain,(
% 27.35/17.91 ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))),
% 27.35/17.91 inference(skolemize,[status(sab)],[5073])).
% 27.35/17.91 tff(5075,plain,
% 27.35/17.91 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[5074, 5070])).
% 27.35/17.91 tff(5076,plain,
% 27.35/17.91 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB31)) | (~v90(constB31, 0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB31)) | (~v90(constB31, 0)))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(5077,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB31)) | (~v90(constB31, 0)))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(5078,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB31)) | (~v90(constB31, 0))),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[5077, 5076])).
% 27.35/17.91 tff(5079,plain,
% 27.35/17.91 (~v123(constB31)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5078, 5075, 5063])).
% 27.35/17.91 tff(5080,plain,
% 27.35/17.91 (v100(constB32)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4314, 5063, 4307])).
% 27.35/17.91 tff(5081,plain,
% 27.35/17.91 (~v129(constB32, 2)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4356, 5080])).
% 27.35/17.91 tff(5082,plain,
% 27.35/17.91 (~v127(constB31, 2)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4348, 5081])).
% 27.35/17.91 tff(5083,plain,
% 27.35/17.91 (~v130(constB31, 2)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4343, 5082])).
% 27.35/17.91 tff(5084,plain,
% 27.35/17.91 (~v124(constB31)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4851, 1873, 5083])).
% 27.35/17.91 tff(5085,plain,
% 27.35/17.91 (~v129(constB32, 0)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5005, 5080])).
% 27.35/17.91 tff(5086,plain,
% 27.35/17.91 (~v127(constB31, 0)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5010, 5085])).
% 27.35/17.91 tff(5087,plain,
% 27.35/17.91 (~v130(constB31, 0)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5015, 5086])).
% 27.35/17.91 tff(5088,plain,
% 27.35/17.91 (v120(constB31)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5058, 2258, 5087, 4415, 5084, 5079, 5068, 5067])).
% 27.35/17.91 tff(5089,plain,
% 27.35/17.91 (~v129(constB32, 1)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4904, 5080])).
% 27.35/17.91 tff(5090,plain,
% 27.35/17.91 (~v127(constB31, 1)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4909, 5089])).
% 27.35/17.91 tff(5091,plain,
% 27.35/17.91 (~v130(constB31, 1)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4914, 5090])).
% 27.35/17.91 tff(5092,plain,
% 27.35/17.91 ($false),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4918, 841, 5091, 5088])).
% 27.35/17.91 tff(5093,plain,(v90(constB32, 1) | v90(constB32, 0) | v90(constB32, 2)), inference(lemma,lemma(discharge,[]))).
% 27.35/17.91 tff(5094,plain,
% 27.35/17.91 (v90(constB32, 2)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5093, 4307, 4298])).
% 27.35/17.91 tff(5095,plain,
% 27.35/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB31, 2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB31, 2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 2)))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(5096,plain,
% 27.35/17.91 (((~nextState(constB31, constB32)) | v90(constB31, 2) | v100(constB32) | (~v90(constB32, 2))) <=> (v90(constB31, 2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 2)))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(5097,plain,
% 27.35/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB31, constB32)) | v90(constB31, 2) | v100(constB32) | (~v90(constB32, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB31, 2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 2))))),
% 27.35/17.91 inference(monotonicity,[status(thm)],[5096])).
% 27.35/17.91 tff(5098,plain,
% 27.35/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB31, constB32)) | v90(constB31, 2) | v100(constB32) | (~v90(constB32, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB31, 2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 2)))),
% 27.35/17.91 inference(transitivity,[status(thm)],[5097, 5095])).
% 27.35/17.91 tff(5099,plain,
% 27.35/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB31, constB32)) | v90(constB31, 2) | v100(constB32) | (~v90(constB32, 2)))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(5100,plain,
% 27.35/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB31, 2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 2))),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[5099, 5098])).
% 27.35/17.91 tff(5101,plain,
% 27.35/17.91 (v90(constB31, 2) | v100(constB32) | (~v90(constB32, 2))),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5100, 170, 4291])).
% 27.35/17.91 tff(5102,plain,
% 27.35/17.91 (v90(constB31, 2)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5101, 5094, 4297])).
% 27.35/17.91 tff(5103,plain,
% 27.35/17.91 (~v110(constB32)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4382, 4297])).
% 27.35/17.91 tff(5104,plain,
% 27.35/17.91 (~v108(constB31)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4390, 5103])).
% 27.35/17.91 tff(5105,plain,
% 27.35/17.91 (~v112(constB31)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4397, 340, 5104])).
% 27.35/17.91 tff(5106,plain,
% 27.35/17.91 (~v113(constB31)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4405, 5105])).
% 27.35/17.91 tff(5107,plain,
% 27.35/17.91 (~v114(constB31)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4412, 314, 5106])).
% 27.35/17.91 tff(5108,plain,
% 27.35/17.91 (~v115(constB31)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[4334, 300, 5107])).
% 27.35/17.91 tff(5109,plain,
% 27.35/17.91 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB31)) | v115(constB31))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB31)) | v115(constB31))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(5110,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB31)) | v115(constB31))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(5111,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB31)) | v115(constB31)),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[5110, 5109])).
% 27.35/17.91 tff(5112,plain,
% 27.35/17.91 (~v123(constB31)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5111, 1579, 5108])).
% 27.35/17.91 tff(5113,plain,
% 27.35/17.91 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB31, 0) | v90(constB31, 1) | (~v90(constB31, 2)) | v123(constB31))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB31, 0) | v90(constB31, 1) | (~v90(constB31, 2)) | v123(constB31))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(5114,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB31, 0) | v90(constB31, 1) | (~v90(constB31, 2)) | v123(constB31))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(5115,plain,
% 27.35/17.91 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB31, 0) | v90(constB31, 1) | (~v90(constB31, 2)) | v123(constB31)),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[5114, 5113])).
% 27.35/17.91 tff(5116,plain,
% 27.35/17.91 (v90(constB31, 0) | v90(constB31, 1) | (~v90(constB31, 2))),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5115, 1565, 5112])).
% 27.35/17.91 tff(5117,plain,
% 27.35/17.91 ($false),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5116, 5102, 4315, 4306])).
% 27.35/17.91 tff(5118,plain,(v90(constB32, 0) | v100(constB32) | v90(constB32, 1)), inference(lemma,lemma(discharge,[]))).
% 27.35/17.91 tff(5119,plain,
% 27.35/17.91 (v90(constB32, 0)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5118, 4298, 4297])).
% 27.35/17.91 tff(5120,plain,
% 27.35/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB31, 0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB31, 0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 0)))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(5121,plain,
% 27.35/17.91 (((~nextState(constB31, constB32)) | v90(constB31, 0) | v100(constB32) | (~v90(constB32, 0))) <=> (v90(constB31, 0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 0)))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(5122,plain,
% 27.35/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB31, constB32)) | v90(constB31, 0) | v100(constB32) | (~v90(constB32, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB31, 0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 0))))),
% 27.35/17.91 inference(monotonicity,[status(thm)],[5121])).
% 27.35/17.91 tff(5123,plain,
% 27.35/17.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB31, constB32)) | v90(constB31, 0) | v100(constB32) | (~v90(constB32, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB31, 0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 0)))),
% 27.35/17.91 inference(transitivity,[status(thm)],[5122, 5120])).
% 27.35/17.91 tff(5124,plain,
% 27.35/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB31, constB32)) | v90(constB31, 0) | v100(constB32) | (~v90(constB32, 0)))),
% 27.35/17.91 inference(quant_inst,[status(thm)],[])).
% 27.35/17.91 tff(5125,plain,
% 27.35/17.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB31, 0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 0))),
% 27.35/17.91 inference(modus_ponens,[status(thm)],[5124, 5123])).
% 27.35/17.91 tff(5126,plain,
% 27.35/17.91 (v90(constB31, 0) | v100(constB32) | (~v90(constB32, 0))),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5125, 212, 4291])).
% 27.35/17.91 tff(5127,plain,
% 27.35/17.91 (v90(constB31, 0)),
% 27.35/17.91 inference(unit_resolution,[status(thm)],[5126, 5119, 4297])).
% 27.35/17.91 tff(5128,plain,
% 27.35/17.91 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB31) | (~v124(constB31)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB31) | (~v124(constB31)))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(5129,plain,
% 27.35/17.91 (((~v124(constB31)) | v114(constB31)) <=> (v114(constB31) | (~v124(constB31)))),
% 27.35/17.91 inference(rewrite,[status(thm)],[])).
% 27.35/17.91 tff(5130,plain,
% 27.35/17.91 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB31)) | v114(constB31))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB31) | (~v124(constB31))))),
% 27.35/17.91 inference(monotonicity,[status(thm)],[5129])).
% 27.35/17.91 tff(5131,plain,
% 27.35/17.91 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB31)) | v114(constB31))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB31) | (~v124(constB31)))),
% 27.35/17.92 inference(transitivity,[status(thm)],[5130, 5128])).
% 27.35/17.92 tff(5132,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB31)) | v114(constB31))),
% 27.35/17.92 inference(quant_inst,[status(thm)],[])).
% 27.35/17.92 tff(5133,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB31) | (~v124(constB31))),
% 27.35/17.92 inference(modus_ponens,[status(thm)],[5132, 5131])).
% 27.35/17.92 tff(5134,plain,
% 27.35/17.92 (~v124(constB31)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5133, 1805, 5107])).
% 27.35/17.92 tff(5135,plain,
% 27.35/17.92 ((~v90(constB31, 0)) | v90(constB31, 1) | (~v90(constB31, 2))),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[4843, 1794, 5134])).
% 27.35/17.92 tff(5136,plain,
% 27.35/17.92 (~v90(constB31, 2)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5135, 5127, 4306])).
% 27.35/17.92 tff(5137,plain,
% 27.35/17.92 (~v116(constB31)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[4327, 286, 5108])).
% 27.35/17.92 tff(5138,plain,
% 27.35/17.92 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB31) | (~v117(constB31)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB31) | (~v117(constB31)))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5139,plain,
% 27.35/17.92 (((~v117(constB31)) | v116(constB31)) <=> (v116(constB31) | (~v117(constB31)))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5140,plain,
% 27.35/17.92 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB31)) | v116(constB31))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB31) | (~v117(constB31))))),
% 27.35/17.92 inference(monotonicity,[status(thm)],[5139])).
% 27.35/17.92 tff(5141,plain,
% 27.35/17.92 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB31)) | v116(constB31))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB31) | (~v117(constB31)))),
% 27.35/17.92 inference(transitivity,[status(thm)],[5140, 5138])).
% 27.35/17.92 tff(5142,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB31)) | v116(constB31))),
% 27.35/17.92 inference(quant_inst,[status(thm)],[])).
% 27.35/17.92 tff(5143,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB31) | (~v117(constB31))),
% 27.35/17.92 inference(modus_ponens,[status(thm)],[5142, 5141])).
% 27.35/17.92 tff(5144,plain,
% 27.35/17.92 (~v117(constB31)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5143, 272, 5137])).
% 27.35/17.92 tff(5145,plain,
% 27.35/17.92 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB31)) | v117(constB31))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB31)) | v117(constB31))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5146,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB31)) | v117(constB31))),
% 27.35/17.92 inference(quant_inst,[status(thm)],[])).
% 27.35/17.92 tff(5147,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB31)) | v117(constB31)),
% 27.35/17.92 inference(modus_ponens,[status(thm)],[5146, 5145])).
% 27.35/17.92 tff(5148,plain,
% 27.35/17.92 (~v118(constB31)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5147, 258, 5144])).
% 27.35/17.92 tff(5149,plain,
% 27.35/17.92 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB31)) | v118(constB31))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB31)) | v118(constB31))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5150,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB31)) | v118(constB31))),
% 27.35/17.92 inference(quant_inst,[status(thm)],[])).
% 27.35/17.92 tff(5151,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB31)) | v118(constB31)),
% 27.35/17.92 inference(modus_ponens,[status(thm)],[5150, 5149])).
% 27.35/17.92 tff(5152,plain,
% 27.35/17.92 (~v120(constB31)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5151, 690, 5148])).
% 27.35/17.92 tff(5153,plain,
% 27.35/17.92 ((~v90(constB31, 0)) | v90(constB31, 1) | v90(constB31, 2)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[4940, 679, 5152])).
% 27.35/17.92 tff(5154,plain,
% 27.35/17.92 ($false),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5153, 5136, 5127, 4306])).
% 27.35/17.92 tff(5155,plain,(v90(constB32, 1) | v100(constB32)), inference(lemma,lemma(discharge,[]))).
% 27.35/17.92 tff(5156,plain,
% 27.35/17.92 (v90(constB32, 1)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5155, 4297])).
% 27.35/17.92 tff(5157,plain,
% 27.35/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB31, 1) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB31, 1) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 1)))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5158,plain,
% 27.35/17.92 (((~nextState(constB31, constB32)) | v90(constB31, 1) | v100(constB32) | (~v90(constB32, 1))) <=> (v90(constB31, 1) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 1)))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5159,plain,
% 27.35/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB31, constB32)) | v90(constB31, 1) | v100(constB32) | (~v90(constB32, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB31, 1) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 1))))),
% 27.35/17.92 inference(monotonicity,[status(thm)],[5158])).
% 27.35/17.92 tff(5160,plain,
% 27.35/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB31, constB32)) | v90(constB31, 1) | v100(constB32) | (~v90(constB32, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB31, 1) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 1)))),
% 27.35/17.92 inference(transitivity,[status(thm)],[5159, 5157])).
% 27.35/17.92 tff(5161,plain,
% 27.35/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB31, constB32)) | v90(constB31, 1) | v100(constB32) | (~v90(constB32, 1)))),
% 27.35/17.92 inference(quant_inst,[status(thm)],[])).
% 27.35/17.92 tff(5162,plain,
% 27.35/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB31, 1) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 1))),
% 27.35/17.92 inference(modus_ponens,[status(thm)],[5161, 5160])).
% 27.35/17.92 tff(5163,plain,
% 27.35/17.92 (v90(constB31, 1) | v100(constB32) | (~v90(constB32, 1))),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5162, 191, 4291])).
% 27.35/17.92 tff(5164,plain,
% 27.35/17.92 (v90(constB31, 1)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5163, 5156, 4297])).
% 27.35/17.92 tff(5165,plain,
% 27.35/17.92 (v90(constB32, 1)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5093, 4307, 4316])).
% 27.35/17.92 tff(5166,plain,
% 27.35/17.92 (v90(constB31, 1)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5163, 4297, 5165])).
% 27.35/17.92 tff(5167,plain,
% 27.35/17.92 (~v90(constB31, 0)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[4314, 4297, 4307])).
% 27.35/17.92 tff(5168,plain,
% 27.35/17.92 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB31, 0) | (~v90(constB31, 1)) | v90(constB31, 2) | v121(constB31))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB31, 0) | (~v90(constB31, 1)) | v90(constB31, 2) | v121(constB31))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5169,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB31, 0) | (~v90(constB31, 1)) | v90(constB31, 2) | v121(constB31))),
% 27.35/17.92 inference(quant_inst,[status(thm)],[])).
% 27.35/17.92 tff(5170,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB31, 0) | (~v90(constB31, 1)) | v90(constB31, 2) | v121(constB31)),
% 27.35/17.92 inference(modus_ponens,[status(thm)],[5169, 5168])).
% 27.35/17.92 tff(5171,plain,
% 27.35/17.92 (v121(constB31)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5170, 993, 5167, 5166, 4969])).
% 27.35/17.92 tff(5172,plain,
% 27.35/17.92 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB31)) | v117(constB31))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB31)) | v117(constB31))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5173,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB31)) | v117(constB31))),
% 27.35/17.92 inference(quant_inst,[status(thm)],[])).
% 27.35/17.92 tff(5174,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB31)) | v117(constB31)),
% 27.35/17.92 inference(modus_ponens,[status(thm)],[5173, 5172])).
% 27.35/17.92 tff(5175,plain,
% 27.35/17.92 (v117(constB31)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5174, 1004, 5171])).
% 27.35/17.92 tff(5176,plain,
% 27.35/17.92 (v116(constB31)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5143, 272, 5175])).
% 27.35/17.92 tff(5177,plain,
% 27.35/17.92 ($false),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[4327, 286, 5108, 5176])).
% 27.35/17.92 tff(5178,plain,(v100(constB32) | v90(constB32, 2) | v90(constB32, 0)), inference(lemma,lemma(discharge,[]))).
% 27.35/17.92 tff(5179,plain,
% 27.35/17.92 (v90(constB32, 2)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5178, 4307, 4297])).
% 27.35/17.92 tff(5180,plain,
% 27.35/17.92 (v90(constB31, 2)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5101, 5179, 4297])).
% 27.35/17.92 tff(5181,plain,
% 27.35/17.92 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB31)) | v113(constB31))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB31)) | v113(constB31))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5182,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB31)) | v113(constB31))),
% 27.35/17.92 inference(quant_inst,[status(thm)],[])).
% 27.35/17.92 tff(5183,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB31)) | v113(constB31)),
% 27.35/17.92 inference(modus_ponens,[status(thm)],[5182, 5181])).
% 27.35/17.92 tff(5184,plain,
% 27.35/17.92 (~v125(constB31)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5183, 2022, 5106])).
% 27.35/17.92 tff(5185,plain,
% 27.35/17.92 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB31, 0) | (~v90(constB31, 1)) | (~v90(constB31, 2)) | v125(constB31))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB31, 0) | (~v90(constB31, 1)) | (~v90(constB31, 2)) | v125(constB31))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5186,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB31, 0) | (~v90(constB31, 1)) | (~v90(constB31, 2)) | v125(constB31))),
% 27.35/17.92 inference(quant_inst,[status(thm)],[])).
% 27.35/17.92 tff(5187,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB31, 0) | (~v90(constB31, 1)) | (~v90(constB31, 2)) | v125(constB31)),
% 27.35/17.92 inference(modus_ponens,[status(thm)],[5186, 5185])).
% 27.35/17.92 tff(5188,plain,
% 27.35/17.92 (v90(constB31, 0) | (~v90(constB31, 1)) | (~v90(constB31, 2))),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5187, 2011, 5184])).
% 27.35/17.92 tff(5189,plain,
% 27.35/17.92 ($false),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5188, 5180, 4315, 5164])).
% 27.35/17.92 tff(5190,plain,(v90(constB32, 0) | v100(constB32)), inference(lemma,lemma(discharge,[]))).
% 27.35/17.92 tff(5191,plain,
% 27.35/17.92 (v90(constB32, 0)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5190, 4297])).
% 27.35/17.92 tff(5192,plain,
% 27.35/17.92 (v90(constB31, 0)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5126, 5191, 4297])).
% 27.35/17.92 tff(5193,plain,
% 27.35/17.92 (v90(constB30, 0)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5039, 5192])).
% 27.35/17.92 tff(5194,plain,
% 27.35/17.92 (v90(constB30, 1)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[4832, 5164])).
% 27.35/17.92 tff(5195,assumption,(~v90(constB21, 0)), introduced(assumption)).
% 27.35/17.92 tff(5196,plain,
% 27.35/17.92 (~v122(constB31)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[4320, 1272, 5137])).
% 27.35/17.92 tff(5197,plain,
% 27.35/17.92 (v90(constB31, 2) | v122(constB31)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[4268, 1260, 5192, 5164])).
% 27.35/17.92 tff(5198,plain,
% 27.35/17.92 (v90(constB31, 2)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5197, 5196])).
% 27.35/17.92 tff(5199,plain,
% 27.35/17.92 (v90(constB30, 2)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[4201, 5198])).
% 27.35/17.92 tff(5200,assumption,(v90(constB30, 0)), introduced(assumption)).
% 27.35/17.92 tff(5201,plain,
% 27.35/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB29, 0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB29, 0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 0)))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5202,plain,
% 27.35/17.92 (((~nextState(constB29, constB30)) | v90(constB29, 0) | v100(constB30) | (~v90(constB30, 0))) <=> (v90(constB29, 0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 0)))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5203,plain,
% 27.35/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB29, constB30)) | v90(constB29, 0) | v100(constB30) | (~v90(constB30, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB29, 0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 0))))),
% 27.35/17.92 inference(monotonicity,[status(thm)],[5202])).
% 27.35/17.92 tff(5204,plain,
% 27.35/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB29, constB30)) | v90(constB29, 0) | v100(constB30) | (~v90(constB30, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB29, 0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 0)))),
% 27.35/17.92 inference(transitivity,[status(thm)],[5203, 5201])).
% 27.35/17.92 tff(5205,plain,
% 27.35/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB29, constB30)) | v90(constB29, 0) | v100(constB30) | (~v90(constB30, 0)))),
% 27.35/17.92 inference(quant_inst,[status(thm)],[])).
% 27.35/17.92 tff(5206,plain,
% 27.35/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB29, 0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 0))),
% 27.35/17.92 inference(modus_ponens,[status(thm)],[5205, 5204])).
% 27.35/17.92 tff(5207,plain,
% 27.35/17.92 (v90(constB29, 0) | v100(constB30) | (~v90(constB30, 0))),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5206, 212, 4117])).
% 27.35/17.92 tff(5208,plain,
% 27.35/17.92 (v90(constB29, 0)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5207, 4416, 5200])).
% 27.35/17.92 tff(5209,plain,
% 27.35/17.92 (v90(constB28, 0)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[3749, 5208])).
% 27.35/17.92 tff(5210,assumption,(v90(constB30, 1)), introduced(assumption)).
% 27.35/17.92 tff(5211,plain,
% 27.35/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB29, 1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB29, 1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 1)))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5212,plain,
% 27.35/17.92 (((~nextState(constB29, constB30)) | v90(constB29, 1) | v100(constB30) | (~v90(constB30, 1))) <=> (v90(constB29, 1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 1)))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5213,plain,
% 27.35/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB29, constB30)) | v90(constB29, 1) | v100(constB30) | (~v90(constB30, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB29, 1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 1))))),
% 27.35/17.92 inference(monotonicity,[status(thm)],[5212])).
% 27.35/17.92 tff(5214,plain,
% 27.35/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB29, constB30)) | v90(constB29, 1) | v100(constB30) | (~v90(constB30, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB29, 1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 1)))),
% 27.35/17.92 inference(transitivity,[status(thm)],[5213, 5211])).
% 27.35/17.92 tff(5215,plain,
% 27.35/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB29, constB30)) | v90(constB29, 1) | v100(constB30) | (~v90(constB30, 1)))),
% 27.35/17.92 inference(quant_inst,[status(thm)],[])).
% 27.35/17.92 tff(5216,plain,
% 27.35/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB29, 1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 1))),
% 27.35/17.92 inference(modus_ponens,[status(thm)],[5215, 5214])).
% 27.35/17.92 tff(5217,plain,
% 27.35/17.92 (v90(constB29, 1) | v100(constB30) | (~v90(constB30, 1))),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5216, 191, 4117])).
% 27.35/17.92 tff(5218,plain,
% 27.35/17.92 (v90(constB29, 1)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5217, 4416, 5210])).
% 27.35/17.92 tff(5219,plain,
% 27.35/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB28, 1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB28, 1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 1)))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5220,plain,
% 27.35/17.92 (((~nextState(constB28, constB29)) | v90(constB28, 1) | v100(constB29) | (~v90(constB29, 1))) <=> (v90(constB28, 1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 1)))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5221,plain,
% 27.35/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB28, constB29)) | v90(constB28, 1) | v100(constB29) | (~v90(constB29, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB28, 1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 1))))),
% 27.35/17.92 inference(monotonicity,[status(thm)],[5220])).
% 27.35/17.92 tff(5222,plain,
% 27.35/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB28, constB29)) | v90(constB28, 1) | v100(constB29) | (~v90(constB29, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB28, 1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 1)))),
% 27.35/17.92 inference(transitivity,[status(thm)],[5221, 5219])).
% 27.35/17.92 tff(5223,plain,
% 27.35/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB28, constB29)) | v90(constB28, 1) | v100(constB29) | (~v90(constB29, 1)))),
% 27.35/17.92 inference(quant_inst,[status(thm)],[])).
% 27.35/17.92 tff(5224,plain,
% 27.35/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB28, 1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 1))),
% 27.35/17.92 inference(modus_ponens,[status(thm)],[5223, 5222])).
% 27.35/17.92 tff(5225,plain,
% 27.35/17.92 (v90(constB28, 1) | v100(constB29) | (~v90(constB29, 1))),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5224, 191, 3729])).
% 27.35/17.92 tff(5226,plain,
% 27.35/17.92 (v90(constB28, 1) | (~v90(constB29, 1))),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5225, 3741])).
% 27.35/17.92 tff(5227,plain,
% 27.35/17.92 (v90(constB28, 1)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5226, 5218])).
% 27.35/17.92 tff(5228,assumption,(v90(constB30, 2)), introduced(assumption)).
% 27.35/17.92 tff(5229,plain,
% 27.35/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB29, 2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB29, 2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 2)))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5230,plain,
% 27.35/17.92 (((~nextState(constB29, constB30)) | v90(constB29, 2) | v100(constB30) | (~v90(constB30, 2))) <=> (v90(constB29, 2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 2)))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5231,plain,
% 27.35/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB29, constB30)) | v90(constB29, 2) | v100(constB30) | (~v90(constB30, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB29, 2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 2))))),
% 27.35/17.92 inference(monotonicity,[status(thm)],[5230])).
% 27.35/17.92 tff(5232,plain,
% 27.35/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB29, constB30)) | v90(constB29, 2) | v100(constB30) | (~v90(constB30, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB29, 2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 2)))),
% 27.35/17.92 inference(transitivity,[status(thm)],[5231, 5229])).
% 27.35/17.92 tff(5233,plain,
% 27.35/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB29, constB30)) | v90(constB29, 2) | v100(constB30) | (~v90(constB30, 2)))),
% 27.35/17.92 inference(quant_inst,[status(thm)],[])).
% 27.35/17.92 tff(5234,plain,
% 27.35/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB29, 2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 2))),
% 27.35/17.92 inference(modus_ponens,[status(thm)],[5233, 5232])).
% 27.35/17.92 tff(5235,plain,
% 27.35/17.92 (v90(constB29, 2) | v100(constB30) | (~v90(constB30, 2))),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5234, 170, 4117])).
% 27.35/17.92 tff(5236,plain,
% 27.35/17.92 (v90(constB29, 2)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5235, 4416, 5228])).
% 27.35/17.92 tff(5237,plain,
% 27.35/17.92 (v90(constB28, 2)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[3778, 5236])).
% 27.35/17.92 tff(5238,assumption,(v100(constB28)), introduced(assumption)).
% 27.35/17.92 tff(5239,assumption,(v90(constB28, 0)), introduced(assumption)).
% 27.35/17.92 tff(5240,plain,
% 27.35/17.92 (v129(constB28, 0) | (~v100(constB28))),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[3696, 966, 5239])).
% 27.35/17.92 tff(5241,plain,
% 27.35/17.92 (v129(constB28, 0)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5240, 5238])).
% 27.35/17.92 tff(5242,plain,
% 27.35/17.92 (v127(constB27, 0)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[3689, 5241])).
% 27.35/17.92 tff(5243,plain,
% 27.35/17.92 (v130(constB27, 0)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[3684, 5242])).
% 27.35/17.92 tff(5244,plain,
% 27.35/17.92 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB27)) | (~v130(constB27, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB27)) | (~v130(constB27, 0)))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5245,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB27)) | (~v130(constB27, 0)))),
% 27.35/17.92 inference(quant_inst,[status(thm)],[])).
% 27.35/17.92 tff(5246,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB27)) | (~v130(constB27, 0))),
% 27.35/17.92 inference(modus_ponens,[status(thm)],[5245, 5244])).
% 27.35/17.92 tff(5247,plain,
% 27.35/17.92 (~v124(constB27)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5246, 1967, 5243])).
% 27.35/17.92 tff(5248,plain,
% 27.35/17.92 (v129(constB28, 1)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[3856, 5238])).
% 27.35/17.92 tff(5249,plain,
% 27.35/17.92 (v127(constB27, 1)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[3861, 5248])).
% 27.35/17.92 tff(5250,plain,
% 27.35/17.92 (v130(constB27, 1)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[3869, 5249])).
% 27.35/17.92 tff(5251,plain,
% 27.35/17.92 (~v123(constB27)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[3873, 1712, 5250])).
% 27.35/17.92 tff(5252,plain,
% 27.35/17.92 (~v122(constB27)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[3877, 1424, 5250])).
% 27.35/17.92 tff(5253,assumption,(v90(constB28, 2)), introduced(assumption)).
% 27.35/17.92 tff(5254,plain,
% 27.35/17.92 (v129(constB28, 2) | (~v100(constB28))),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[4026, 488, 5253])).
% 27.35/17.92 tff(5255,plain,
% 27.35/17.92 (v129(constB28, 2)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5254, 5238])).
% 27.35/17.92 tff(5256,plain,
% 27.35/17.92 (v127(constB27, 2)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[4032, 5255])).
% 27.35/17.92 tff(5257,plain,
% 27.35/17.92 (v130(constB27, 2)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[4040, 5256])).
% 27.35/17.92 tff(5258,plain,
% 27.35/17.92 (~v121(constB27)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[4044, 1155, 5257])).
% 27.35/17.92 tff(5259,plain,
% 27.35/17.92 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB27)) | (~v130(constB27, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB27)) | (~v130(constB27, 1)))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5260,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB27)) | (~v130(constB27, 1)))),
% 27.35/17.92 inference(quant_inst,[status(thm)],[])).
% 27.35/17.92 tff(5261,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB27)) | (~v130(constB27, 1))),
% 27.35/17.92 inference(modus_ponens,[status(thm)],[5260, 5259])).
% 27.35/17.92 tff(5262,plain,
% 27.35/17.92 (~v119(constB27)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5261, 527, 5250])).
% 27.35/17.92 tff(5263,plain,
% 27.35/17.92 (~v120(constB27)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[4048, 785, 5257])).
% 27.35/17.92 tff(5264,plain,
% 27.35/17.92 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, 1)))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5265,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, 1)))),
% 27.35/17.92 inference(quant_inst,[status(thm)],[])).
% 27.35/17.92 tff(5266,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, 1))),
% 27.35/17.92 inference(modus_ponens,[status(thm)],[5265, 5264])).
% 27.35/17.92 tff(5267,plain,
% 27.35/17.92 (v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5266, 2214, 5250])).
% 27.35/17.92 tff(5268,plain,
% 27.35/17.92 ($false),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5267, 5263, 5262, 5258, 5252, 5251, 5247])).
% 27.35/17.92 tff(5269,plain,((~v100(constB28)) | (~v90(constB28, 0)) | (~v90(constB28, 2)) | (~v90(constB28, 1))), inference(lemma,lemma(discharge,[]))).
% 27.35/17.92 tff(5270,plain,
% 27.35/17.92 (~v100(constB28)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5269, 5209, 5237, 5227])).
% 27.35/17.92 tff(5271,plain,
% 27.35/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB27, 0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB27, 0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 0)))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5272,plain,
% 27.35/17.92 (((~nextState(constB27, constB28)) | v90(constB27, 0) | v100(constB28) | (~v90(constB28, 0))) <=> (v90(constB27, 0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 0)))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5273,plain,
% 27.35/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB27, constB28)) | v90(constB27, 0) | v100(constB28) | (~v90(constB28, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB27, 0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 0))))),
% 27.35/17.92 inference(monotonicity,[status(thm)],[5272])).
% 27.35/17.92 tff(5274,plain,
% 27.35/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB27, constB28)) | v90(constB27, 0) | v100(constB28) | (~v90(constB28, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB27, 0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 0)))),
% 27.35/17.92 inference(transitivity,[status(thm)],[5273, 5271])).
% 27.35/17.92 tff(5275,plain,
% 27.35/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB27, constB28)) | v90(constB27, 0) | v100(constB28) | (~v90(constB28, 0)))),
% 27.35/17.92 inference(quant_inst,[status(thm)],[])).
% 27.35/17.92 tff(5276,plain,
% 27.35/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB27, 0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 0))),
% 27.35/17.92 inference(modus_ponens,[status(thm)],[5275, 5274])).
% 27.35/17.92 tff(5277,plain,
% 27.35/17.92 (v90(constB27, 0) | v100(constB28) | (~v90(constB28, 0))),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5276, 212, 3639])).
% 27.35/17.92 tff(5278,plain,
% 27.35/17.92 (v90(constB27, 0)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5277, 5270, 5209])).
% 27.35/17.92 tff(5279,plain,
% 27.35/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB26, 0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB26, 0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 0)))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5280,plain,
% 27.35/17.92 (((~nextState(constB26, constB27)) | v90(constB26, 0) | v100(constB27) | (~v90(constB27, 0))) <=> (v90(constB26, 0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 0)))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5281,plain,
% 27.35/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB26, constB27)) | v90(constB26, 0) | v100(constB27) | (~v90(constB27, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB26, 0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 0))))),
% 27.35/17.92 inference(monotonicity,[status(thm)],[5280])).
% 27.35/17.92 tff(5282,plain,
% 27.35/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB26, constB27)) | v90(constB26, 0) | v100(constB27) | (~v90(constB27, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB26, 0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 0)))),
% 27.35/17.92 inference(transitivity,[status(thm)],[5281, 5279])).
% 27.35/17.92 tff(5283,plain,
% 27.35/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB26, constB27)) | v90(constB26, 0) | v100(constB27) | (~v90(constB27, 0)))),
% 27.35/17.92 inference(quant_inst,[status(thm)],[])).
% 27.35/17.92 tff(5284,plain,
% 27.35/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB26, 0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 0))),
% 27.35/17.92 inference(modus_ponens,[status(thm)],[5283, 5282])).
% 27.35/17.92 tff(5285,plain,
% 27.35/17.92 (v90(constB26, 0) | v100(constB27) | (~v90(constB27, 0))),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5284, 212, 3480])).
% 27.35/17.92 tff(5286,plain,
% 27.35/17.92 (v90(constB26, 0) | (~v90(constB27, 0))),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5285, 3492])).
% 27.35/17.92 tff(5287,plain,
% 27.35/17.92 (v90(constB26, 0)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5286, 5278])).
% 27.35/17.92 tff(5288,plain,
% 27.35/17.92 (v90(constB27, 2)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[3769, 5270, 5237])).
% 27.35/17.92 tff(5289,plain,
% 27.35/17.92 (v90(constB26, 2)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[3500, 5288])).
% 27.35/17.92 tff(5290,plain,
% 27.35/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB27, 1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB27, 1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 1)))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5291,plain,
% 27.35/17.92 (((~nextState(constB27, constB28)) | v90(constB27, 1) | v100(constB28) | (~v90(constB28, 1))) <=> (v90(constB27, 1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 1)))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5292,plain,
% 27.35/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB27, constB28)) | v90(constB27, 1) | v100(constB28) | (~v90(constB28, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB27, 1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 1))))),
% 27.35/17.92 inference(monotonicity,[status(thm)],[5291])).
% 27.35/17.92 tff(5293,plain,
% 27.35/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB27, constB28)) | v90(constB27, 1) | v100(constB28) | (~v90(constB28, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB27, 1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 1)))),
% 27.35/17.92 inference(transitivity,[status(thm)],[5292, 5290])).
% 27.35/17.92 tff(5294,plain,
% 27.35/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB27, constB28)) | v90(constB27, 1) | v100(constB28) | (~v90(constB28, 1)))),
% 27.35/17.92 inference(quant_inst,[status(thm)],[])).
% 27.35/17.92 tff(5295,plain,
% 27.35/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB27, 1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 1))),
% 27.35/17.92 inference(modus_ponens,[status(thm)],[5294, 5293])).
% 27.35/17.92 tff(5296,plain,
% 27.35/17.92 (v90(constB27, 1) | v100(constB28) | (~v90(constB28, 1))),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5295, 191, 3639])).
% 27.35/17.92 tff(5297,plain,
% 27.35/17.92 (v90(constB27, 1)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5296, 5270, 5227])).
% 27.35/17.92 tff(5298,plain,
% 27.35/17.92 (v90(constB26, 1)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[3534, 5297])).
% 27.35/17.92 tff(5299,assumption,(v100(constB26)), introduced(assumption)).
% 27.35/17.92 tff(5300,assumption,(v90(constB26, 0)), introduced(assumption)).
% 27.35/17.92 tff(5301,plain,
% 27.35/17.92 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB26, 0)) | v129(constB26, 0) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB26, 0)) | v129(constB26, 0) | (~v100(constB26)))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5302,plain,
% 27.35/17.92 (((~v90(constB26, 0)) | (~v100(constB26)) | v129(constB26, 0)) <=> ((~v90(constB26, 0)) | v129(constB26, 0) | (~v100(constB26)))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5303,plain,
% 27.35/17.92 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB26, 0)) | (~v100(constB26)) | v129(constB26, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB26, 0)) | v129(constB26, 0) | (~v100(constB26))))),
% 27.35/17.92 inference(monotonicity,[status(thm)],[5302])).
% 27.35/17.92 tff(5304,plain,
% 27.35/17.92 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB26, 0)) | (~v100(constB26)) | v129(constB26, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB26, 0)) | v129(constB26, 0) | (~v100(constB26)))),
% 27.35/17.92 inference(transitivity,[status(thm)],[5303, 5301])).
% 27.35/17.92 tff(5305,plain,
% 27.35/17.92 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB26, 0)) | (~v100(constB26)) | v129(constB26, 0))),
% 27.35/17.92 inference(quant_inst,[status(thm)],[])).
% 27.35/17.92 tff(5306,plain,
% 27.35/17.92 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB26, 0)) | v129(constB26, 0) | (~v100(constB26))),
% 27.35/17.92 inference(modus_ponens,[status(thm)],[5305, 5304])).
% 27.35/17.92 tff(5307,plain,
% 27.35/17.92 (v129(constB26, 0) | (~v100(constB26))),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5306, 966, 5300])).
% 27.35/17.92 tff(5308,plain,
% 27.35/17.92 (v129(constB26, 0)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5307, 5299])).
% 27.35/17.92 tff(5309,plain,
% 27.35/17.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB25, constB26)) | v127(constB25, 0) | (~v129(constB26, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB25, constB26)) | v127(constB25, 0) | (~v129(constB26, 0)))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5310,plain,
% 27.35/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB25, constB26)) | v127(constB25, 0) | (~v129(constB26, 0)))),
% 27.35/17.92 inference(quant_inst,[status(thm)],[])).
% 27.35/17.92 tff(5311,plain,
% 27.35/17.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB25, constB26)) | v127(constB25, 0) | (~v129(constB26, 0))),
% 27.35/17.92 inference(modus_ponens,[status(thm)],[5310, 5309])).
% 27.35/17.92 tff(5312,plain,
% 27.35/17.92 (v127(constB25, 0) | (~v129(constB26, 0))),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5311, 951, 3289])).
% 27.35/17.92 tff(5313,plain,
% 27.35/17.92 (v127(constB25, 0)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5312, 5308])).
% 27.35/17.92 tff(5314,plain,
% 27.35/17.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB25, 0)) | v26(constB25) | v130(constB25, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB25, 0)) | v26(constB25) | v130(constB25, 0))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5315,plain,
% 27.35/17.92 ((v26(constB25) | v130(constB25, 0) | (~v127(constB25, 0))) <=> ((~v127(constB25, 0)) | v26(constB25) | v130(constB25, 0))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5316,plain,
% 27.35/17.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB25) | v130(constB25, 0) | (~v127(constB25, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB25, 0)) | v26(constB25) | v130(constB25, 0)))),
% 27.35/17.92 inference(monotonicity,[status(thm)],[5315])).
% 27.35/17.92 tff(5317,plain,
% 27.35/17.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB25) | v130(constB25, 0) | (~v127(constB25, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB25, 0)) | v26(constB25) | v130(constB25, 0))),
% 27.35/17.92 inference(transitivity,[status(thm)],[5316, 5314])).
% 27.35/17.92 tff(5318,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB25) | v130(constB25, 0) | (~v127(constB25, 0)))),
% 27.35/17.92 inference(quant_inst,[status(thm)],[])).
% 27.35/17.92 tff(5319,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB25, 0)) | v26(constB25) | v130(constB25, 0)),
% 27.35/17.92 inference(modus_ponens,[status(thm)],[5318, 5317])).
% 27.35/17.92 tff(5320,plain,
% 27.35/17.92 ((~v127(constB25, 0)) | v130(constB25, 0)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5319, 933, 3278])).
% 27.35/17.92 tff(5321,plain,
% 27.35/17.92 (v130(constB25, 0)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5320, 5313])).
% 27.35/17.92 tff(5322,plain,
% 27.35/17.92 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB25)) | (~v130(constB25, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB25)) | (~v130(constB25, 0)))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5323,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB25)) | (~v130(constB25, 0)))),
% 27.35/17.92 inference(quant_inst,[status(thm)],[])).
% 27.35/17.92 tff(5324,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB25)) | (~v130(constB25, 0))),
% 27.35/17.92 inference(modus_ponens,[status(thm)],[5323, 5322])).
% 27.35/17.92 tff(5325,plain,
% 27.35/17.92 (~v120(constB25)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5324, 919, 5321])).
% 27.35/17.92 tff(5326,plain,
% 27.35/17.92 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB25)) | (~v130(constB25, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB25)) | (~v130(constB25, 0)))),
% 27.35/17.92 inference(rewrite,[status(thm)],[])).
% 27.35/17.92 tff(5327,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB25)) | (~v130(constB25, 0)))),
% 27.35/17.92 inference(quant_inst,[status(thm)],[])).
% 27.35/17.92 tff(5328,plain,
% 27.35/17.92 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB25)) | (~v130(constB25, 0))),
% 27.35/17.92 inference(modus_ponens,[status(thm)],[5327, 5326])).
% 27.35/17.92 tff(5329,plain,
% 27.35/17.92 (~v122(constB25)),
% 27.35/17.92 inference(unit_resolution,[status(thm)],[5328, 1351, 5321])).
% 27.35/17.92 tff(5330,plain,
% 27.35/17.92 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB25)) | (~v130(constB25, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB25)) | (~v130(constB25, 0)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5331,plain,
% 27.35/17.93 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB25)) | (~v130(constB25, 0)))),
% 27.35/17.93 inference(quant_inst,[status(thm)],[])).
% 27.35/17.93 tff(5332,plain,
% 27.35/17.93 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB25)) | (~v130(constB25, 0))),
% 27.35/17.93 inference(modus_ponens,[status(thm)],[5331, 5330])).
% 27.35/17.93 tff(5333,plain,
% 27.35/17.93 (~v124(constB25)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5332, 1967, 5321])).
% 27.35/17.93 tff(5334,assumption,(v90(constB26, 2)), introduced(assumption)).
% 27.35/17.93 tff(5335,plain,
% 27.35/17.93 (v129(constB26, 2) | (~v100(constB26))),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[3472, 488, 5334])).
% 27.35/17.93 tff(5336,plain,
% 27.35/17.93 (v129(constB26, 2)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5335, 5299])).
% 27.35/17.93 tff(5337,plain,
% 27.35/17.93 (v127(constB25, 2)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[3293, 5336])).
% 27.35/17.93 tff(5338,plain,
% 27.35/17.93 (v130(constB25, 2)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[3285, 5337])).
% 27.35/17.93 tff(5339,plain,
% 27.35/17.93 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB25)) | (~v130(constB25, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB25)) | (~v130(constB25, 2)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5340,plain,
% 27.35/17.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB25)) | (~v130(constB25, 2)))),
% 27.35/17.93 inference(quant_inst,[status(thm)],[])).
% 27.35/17.93 tff(5341,plain,
% 27.35/17.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB25)) | (~v130(constB25, 2))),
% 27.35/17.93 inference(modus_ponens,[status(thm)],[5340, 5339])).
% 27.35/17.93 tff(5342,plain,
% 27.35/17.93 (~v121(constB25)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5341, 1155, 5338])).
% 27.35/17.93 tff(5343,plain,
% 27.35/17.93 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB25)) | (~v130(constB25, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB25)) | (~v130(constB25, 2)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5344,plain,
% 27.35/17.93 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB25)) | (~v130(constB25, 2)))),
% 27.35/17.93 inference(quant_inst,[status(thm)],[])).
% 27.35/17.93 tff(5345,plain,
% 27.35/17.93 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB25)) | (~v130(constB25, 2))),
% 27.35/17.93 inference(modus_ponens,[status(thm)],[5344, 5343])).
% 27.35/17.93 tff(5346,plain,
% 27.35/17.93 (~v119(constB25)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5345, 441, 5338])).
% 27.35/17.93 tff(5347,assumption,(v90(constB26, 1)), introduced(assumption)).
% 27.35/17.93 tff(5348,plain,
% 27.35/17.93 (v129(constB26, 1) | (~v100(constB26))),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[3524, 574, 5347])).
% 27.35/17.93 tff(5349,plain,
% 27.35/17.93 (v129(constB26, 1)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5348, 5299])).
% 27.35/17.93 tff(5350,plain,
% 27.35/17.93 (v127(constB25, 1)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[3517, 5349])).
% 27.35/17.93 tff(5351,plain,
% 27.35/17.93 (v130(constB25, 1)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[3512, 5350])).
% 27.35/17.93 tff(5352,plain,
% 27.35/17.93 (v123(constB25)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[3504, 2214, 5351, 5346, 5342, 5333, 5329, 5325])).
% 27.35/17.93 tff(5353,plain,
% 27.35/17.93 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB25)) | (~v130(constB25, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB25)) | (~v130(constB25, 1)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5354,plain,
% 27.35/17.93 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB25)) | (~v130(constB25, 1)))),
% 27.35/17.93 inference(quant_inst,[status(thm)],[])).
% 27.35/17.93 tff(5355,plain,
% 27.35/17.93 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB25)) | (~v130(constB25, 1))),
% 27.35/17.93 inference(modus_ponens,[status(thm)],[5354, 5353])).
% 27.35/17.93 tff(5356,plain,
% 27.35/17.93 ($false),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5355, 1712, 5351, 5352])).
% 27.35/17.93 tff(5357,plain,((~v100(constB26)) | (~v90(constB26, 1)) | (~v90(constB26, 2)) | (~v90(constB26, 0))), inference(lemma,lemma(discharge,[]))).
% 27.35/17.93 tff(5358,plain,
% 27.35/17.93 (~v100(constB26)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5357, 5298, 5287, 5289])).
% 27.35/17.93 tff(5359,plain,
% 27.35/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB25, 0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB25, 0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 0)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5360,plain,
% 27.35/17.93 (((~nextState(constB25, constB26)) | v90(constB25, 0) | v100(constB26) | (~v90(constB26, 0))) <=> (v90(constB25, 0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 0)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5361,plain,
% 27.35/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB25, constB26)) | v90(constB25, 0) | v100(constB26) | (~v90(constB26, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB25, 0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 0))))),
% 27.35/17.93 inference(monotonicity,[status(thm)],[5360])).
% 27.35/17.93 tff(5362,plain,
% 27.35/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB25, constB26)) | v90(constB25, 0) | v100(constB26) | (~v90(constB26, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB25, 0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 0)))),
% 27.35/17.93 inference(transitivity,[status(thm)],[5361, 5359])).
% 27.35/17.93 tff(5363,plain,
% 27.35/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB25, constB26)) | v90(constB25, 0) | v100(constB26) | (~v90(constB26, 0)))),
% 27.35/17.93 inference(quant_inst,[status(thm)],[])).
% 27.35/17.93 tff(5364,plain,
% 27.35/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB25, 0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 0))),
% 27.35/17.93 inference(modus_ponens,[status(thm)],[5363, 5362])).
% 27.35/17.93 tff(5365,plain,
% 27.35/17.93 (v90(constB25, 0) | v100(constB26) | (~v90(constB26, 0))),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5364, 212, 3289])).
% 27.35/17.93 tff(5366,plain,
% 27.35/17.93 (v90(constB25, 0)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5365, 5358, 5287])).
% 27.35/17.93 tff(5367,plain,
% 27.35/17.93 (v90(constB24, 0)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[3327, 5366])).
% 27.35/17.93 tff(5368,plain,
% 27.35/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB25, 2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB25, 2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 2)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5369,plain,
% 27.35/17.93 (((~nextState(constB25, constB26)) | v90(constB25, 2) | v100(constB26) | (~v90(constB26, 2))) <=> (v90(constB25, 2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 2)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5370,plain,
% 27.35/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB25, constB26)) | v90(constB25, 2) | v100(constB26) | (~v90(constB26, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB25, 2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 2))))),
% 27.35/17.93 inference(monotonicity,[status(thm)],[5369])).
% 27.35/17.93 tff(5371,plain,
% 27.35/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB25, constB26)) | v90(constB25, 2) | v100(constB26) | (~v90(constB26, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB25, 2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 2)))),
% 27.35/17.93 inference(transitivity,[status(thm)],[5370, 5368])).
% 27.35/17.93 tff(5372,plain,
% 27.35/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB25, constB26)) | v90(constB25, 2) | v100(constB26) | (~v90(constB26, 2)))),
% 27.35/17.93 inference(quant_inst,[status(thm)],[])).
% 27.35/17.93 tff(5373,plain,
% 27.35/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB25, 2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 2))),
% 27.35/17.93 inference(modus_ponens,[status(thm)],[5372, 5371])).
% 27.35/17.93 tff(5374,plain,
% 27.35/17.93 (v90(constB25, 2) | v100(constB26) | (~v90(constB26, 2))),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5373, 170, 3289])).
% 27.35/17.93 tff(5375,plain,
% 27.35/17.93 (v90(constB25, 2)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5374, 5358, 5289])).
% 27.35/17.93 tff(5376,plain,
% 27.35/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB24, 2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB24, 2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 2)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5377,plain,
% 27.35/17.93 (((~nextState(constB24, constB25)) | v90(constB24, 2) | v100(constB25) | (~v90(constB25, 2))) <=> (v90(constB24, 2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 2)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5378,plain,
% 27.35/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB24, constB25)) | v90(constB24, 2) | v100(constB25) | (~v90(constB25, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB24, 2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 2))))),
% 27.35/17.93 inference(monotonicity,[status(thm)],[5377])).
% 27.35/17.93 tff(5379,plain,
% 27.35/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB24, constB25)) | v90(constB24, 2) | v100(constB25) | (~v90(constB25, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB24, 2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 2)))),
% 27.35/17.93 inference(transitivity,[status(thm)],[5378, 5376])).
% 27.35/17.93 tff(5380,plain,
% 27.35/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB24, constB25)) | v90(constB24, 2) | v100(constB25) | (~v90(constB25, 2)))),
% 27.35/17.93 inference(quant_inst,[status(thm)],[])).
% 27.35/17.93 tff(5381,plain,
% 27.35/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB24, 2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 2))),
% 27.35/17.93 inference(modus_ponens,[status(thm)],[5380, 5379])).
% 27.35/17.93 tff(5382,plain,
% 27.35/17.93 (v90(constB24, 2) | v100(constB25) | (~v90(constB25, 2))),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5381, 170, 3194])).
% 27.35/17.93 tff(5383,plain,
% 27.35/17.93 (v90(constB24, 2) | (~v90(constB25, 2))),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5382, 3206])).
% 27.35/17.93 tff(5384,plain,
% 27.35/17.93 (v90(constB24, 2)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5383, 5375])).
% 27.35/17.93 tff(5385,plain,
% 27.35/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB25, 1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB25, 1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 1)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5386,plain,
% 27.35/17.93 (((~nextState(constB25, constB26)) | v90(constB25, 1) | v100(constB26) | (~v90(constB26, 1))) <=> (v90(constB25, 1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 1)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5387,plain,
% 27.35/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB25, constB26)) | v90(constB25, 1) | v100(constB26) | (~v90(constB26, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB25, 1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 1))))),
% 27.35/17.93 inference(monotonicity,[status(thm)],[5386])).
% 27.35/17.93 tff(5388,plain,
% 27.35/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB25, constB26)) | v90(constB25, 1) | v100(constB26) | (~v90(constB26, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB25, 1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 1)))),
% 27.35/17.93 inference(transitivity,[status(thm)],[5387, 5385])).
% 27.35/17.93 tff(5389,plain,
% 27.35/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB25, constB26)) | v90(constB25, 1) | v100(constB26) | (~v90(constB26, 1)))),
% 27.35/17.93 inference(quant_inst,[status(thm)],[])).
% 27.35/17.93 tff(5390,plain,
% 27.35/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB25, 1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 1))),
% 27.35/17.93 inference(modus_ponens,[status(thm)],[5389, 5388])).
% 27.35/17.93 tff(5391,plain,
% 27.35/17.93 (v90(constB25, 1) | v100(constB26) | (~v90(constB26, 1))),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5390, 191, 3289])).
% 27.35/17.93 tff(5392,plain,
% 27.35/17.93 (v90(constB25, 1)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5391, 5358, 5298])).
% 27.35/17.93 tff(5393,plain,
% 27.35/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB24, 1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB24, 1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 1)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5394,plain,
% 27.35/17.93 (((~nextState(constB24, constB25)) | v90(constB24, 1) | v100(constB25) | (~v90(constB25, 1))) <=> (v90(constB24, 1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 1)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5395,plain,
% 27.35/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB24, constB25)) | v90(constB24, 1) | v100(constB25) | (~v90(constB25, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB24, 1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 1))))),
% 27.35/17.93 inference(monotonicity,[status(thm)],[5394])).
% 27.35/17.93 tff(5396,plain,
% 27.35/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB24, constB25)) | v90(constB24, 1) | v100(constB25) | (~v90(constB25, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB24, 1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 1)))),
% 27.35/17.93 inference(transitivity,[status(thm)],[5395, 5393])).
% 27.35/17.93 tff(5397,plain,
% 27.35/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB24, constB25)) | v90(constB24, 1) | v100(constB25) | (~v90(constB25, 1)))),
% 27.35/17.93 inference(quant_inst,[status(thm)],[])).
% 27.35/17.93 tff(5398,plain,
% 27.35/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB24, 1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 1))),
% 27.35/17.93 inference(modus_ponens,[status(thm)],[5397, 5396])).
% 27.35/17.93 tff(5399,plain,
% 27.35/17.93 (v90(constB24, 1) | v100(constB25) | (~v90(constB25, 1))),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5398, 191, 3194])).
% 27.35/17.93 tff(5400,plain,
% 27.35/17.93 (v90(constB24, 1) | (~v90(constB25, 1))),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5399, 3206])).
% 27.35/17.93 tff(5401,plain,
% 27.35/17.93 (v90(constB24, 1)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5400, 5392])).
% 27.35/17.93 tff(5402,assumption,(v100(constB24)), introduced(assumption)).
% 27.35/17.93 tff(5403,assumption,(v90(constB24, 2)), introduced(assumption)).
% 27.35/17.93 tff(5404,plain,
% 27.35/17.93 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB24, 2)) | v129(constB24, 2) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB24, 2)) | v129(constB24, 2) | (~v100(constB24)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5405,plain,
% 27.35/17.93 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB24, 2)) | v129(constB24, 2) | (~v100(constB24)))),
% 27.35/17.93 inference(quant_inst,[status(thm)],[])).
% 27.35/17.93 tff(5406,plain,
% 27.35/17.93 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB24, 2)) | v129(constB24, 2) | (~v100(constB24))),
% 27.35/17.93 inference(modus_ponens,[status(thm)],[5405, 5404])).
% 27.35/17.93 tff(5407,plain,
% 27.35/17.93 (v129(constB24, 2) | (~v100(constB24))),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5406, 488, 5403])).
% 27.35/17.93 tff(5408,plain,
% 27.35/17.93 (v129(constB24, 2)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5407, 5402])).
% 27.35/17.93 tff(5409,plain,
% 27.35/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB23, constB24)) | v127(constB23, 2) | (~v129(constB24, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB23, constB24)) | v127(constB23, 2) | (~v129(constB24, 2)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5410,plain,
% 27.35/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB23, constB24)) | v127(constB23, 2) | (~v129(constB24, 2)))),
% 27.35/17.93 inference(quant_inst,[status(thm)],[])).
% 27.35/17.93 tff(5411,plain,
% 27.35/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB23, constB24)) | v127(constB23, 2) | (~v129(constB24, 2))),
% 27.35/17.93 inference(modus_ponens,[status(thm)],[5410, 5409])).
% 27.35/17.93 tff(5412,plain,
% 27.35/17.93 (v127(constB23, 2) | (~v129(constB24, 2))),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5411, 473, 3135])).
% 27.35/17.93 tff(5413,plain,
% 27.35/17.93 (v127(constB23, 2)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5412, 5408])).
% 27.35/17.93 tff(5414,plain,
% 27.35/17.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB23, 2)) | v26(constB23) | v130(constB23, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB23, 2)) | v26(constB23) | v130(constB23, 2))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5415,plain,
% 27.35/17.93 ((v26(constB23) | v130(constB23, 2) | (~v127(constB23, 2))) <=> ((~v127(constB23, 2)) | v26(constB23) | v130(constB23, 2))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5416,plain,
% 27.35/17.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB23) | v130(constB23, 2) | (~v127(constB23, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB23, 2)) | v26(constB23) | v130(constB23, 2)))),
% 27.35/17.93 inference(monotonicity,[status(thm)],[5415])).
% 27.35/17.93 tff(5417,plain,
% 27.35/17.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB23) | v130(constB23, 2) | (~v127(constB23, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB23, 2)) | v26(constB23) | v130(constB23, 2))),
% 27.35/17.93 inference(transitivity,[status(thm)],[5416, 5414])).
% 27.35/17.93 tff(5418,plain,
% 27.35/17.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB23) | v130(constB23, 2) | (~v127(constB23, 2)))),
% 27.35/17.93 inference(quant_inst,[status(thm)],[])).
% 27.35/17.93 tff(5419,plain,
% 27.35/17.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB23, 2)) | v26(constB23) | v130(constB23, 2)),
% 27.35/17.93 inference(modus_ponens,[status(thm)],[5418, 5417])).
% 27.35/17.93 tff(5420,plain,
% 27.35/17.93 ((~v127(constB23, 2)) | v130(constB23, 2)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5419, 455, 3117])).
% 27.35/17.93 tff(5421,plain,
% 27.35/17.93 (v130(constB23, 2)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5420, 5413])).
% 27.35/17.93 tff(5422,plain,
% 27.35/17.93 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB23)) | (~v130(constB23, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB23)) | (~v130(constB23, 2)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5423,plain,
% 27.35/17.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB23)) | (~v130(constB23, 2)))),
% 27.35/17.93 inference(quant_inst,[status(thm)],[])).
% 27.35/17.93 tff(5424,plain,
% 27.35/17.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB23)) | (~v130(constB23, 2))),
% 27.35/17.93 inference(modus_ponens,[status(thm)],[5423, 5422])).
% 27.35/17.93 tff(5425,plain,
% 27.35/17.93 (~v121(constB23)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5424, 1155, 5421])).
% 27.35/17.93 tff(5426,plain,
% 27.35/17.93 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB23)) | (~v130(constB23, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB23)) | (~v130(constB23, 2)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5427,plain,
% 27.35/17.93 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB23)) | (~v130(constB23, 2)))),
% 27.35/17.93 inference(quant_inst,[status(thm)],[])).
% 27.35/17.93 tff(5428,plain,
% 27.35/17.93 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB23)) | (~v130(constB23, 2))),
% 27.35/17.93 inference(modus_ponens,[status(thm)],[5427, 5426])).
% 27.35/17.93 tff(5429,plain,
% 27.35/17.93 (~v119(constB23)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5428, 441, 5421])).
% 27.35/17.93 tff(5430,assumption,(v90(constB24, 0)), introduced(assumption)).
% 27.35/17.93 tff(5431,plain,
% 27.35/17.93 (v129(constB24, 0) | (~v100(constB24))),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[3317, 966, 5430])).
% 27.35/17.93 tff(5432,plain,
% 27.35/17.93 (v129(constB24, 0)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5431, 5402])).
% 27.35/17.93 tff(5433,plain,
% 27.35/17.93 (v127(constB23, 0)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[3310, 5432])).
% 27.35/17.93 tff(5434,plain,
% 27.35/17.93 (v130(constB23, 0)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[3305, 5433])).
% 27.35/17.93 tff(5435,plain,
% 27.35/17.93 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB23)) | (~v130(constB23, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB23)) | (~v130(constB23, 0)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5436,plain,
% 27.35/17.93 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB23)) | (~v130(constB23, 0)))),
% 27.35/17.93 inference(quant_inst,[status(thm)],[])).
% 27.35/17.93 tff(5437,plain,
% 27.35/17.93 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB23)) | (~v130(constB23, 0))),
% 27.35/17.93 inference(modus_ponens,[status(thm)],[5436, 5435])).
% 27.35/17.93 tff(5438,plain,
% 27.35/17.93 (~v120(constB23)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5437, 919, 5434])).
% 27.35/17.93 tff(5439,plain,
% 27.35/17.93 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB23)) | (~v130(constB23, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB23)) | (~v130(constB23, 0)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5440,plain,
% 27.35/17.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB23)) | (~v130(constB23, 0)))),
% 27.35/17.93 inference(quant_inst,[status(thm)],[])).
% 27.35/17.93 tff(5441,plain,
% 27.35/17.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB23)) | (~v130(constB23, 0))),
% 27.35/17.93 inference(modus_ponens,[status(thm)],[5440, 5439])).
% 27.35/17.93 tff(5442,plain,
% 27.35/17.93 (~v122(constB23)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5441, 1351, 5434])).
% 27.35/17.93 tff(5443,plain,
% 27.35/17.93 (~v124(constB23)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[3297, 1967, 5434])).
% 27.35/17.93 tff(5444,assumption,(v90(constB24, 1)), introduced(assumption)).
% 27.35/17.93 tff(5445,plain,
% 27.35/17.93 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB24, 1)) | v129(constB24, 1) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB24, 1)) | v129(constB24, 1) | (~v100(constB24)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5446,plain,
% 27.35/17.93 (((~v90(constB24, 1)) | (~v100(constB24)) | v129(constB24, 1)) <=> ((~v90(constB24, 1)) | v129(constB24, 1) | (~v100(constB24)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5447,plain,
% 27.35/17.93 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB24, 1)) | (~v100(constB24)) | v129(constB24, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB24, 1)) | v129(constB24, 1) | (~v100(constB24))))),
% 27.35/17.93 inference(monotonicity,[status(thm)],[5446])).
% 27.35/17.93 tff(5448,plain,
% 27.35/17.93 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB24, 1)) | (~v100(constB24)) | v129(constB24, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB24, 1)) | v129(constB24, 1) | (~v100(constB24)))),
% 27.35/17.93 inference(transitivity,[status(thm)],[5447, 5445])).
% 27.35/17.93 tff(5449,plain,
% 27.35/17.93 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB24, 1)) | (~v100(constB24)) | v129(constB24, 1))),
% 27.35/17.93 inference(quant_inst,[status(thm)],[])).
% 27.35/17.93 tff(5450,plain,
% 27.35/17.93 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB24, 1)) | v129(constB24, 1) | (~v100(constB24))),
% 27.35/17.93 inference(modus_ponens,[status(thm)],[5449, 5448])).
% 27.35/17.93 tff(5451,plain,
% 27.35/17.93 (v129(constB24, 1) | (~v100(constB24))),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5450, 574, 5444])).
% 27.35/17.93 tff(5452,plain,
% 27.35/17.93 (v129(constB24, 1)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5451, 5402])).
% 27.35/17.93 tff(5453,plain,
% 27.35/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB23, constB24)) | v127(constB23, 1) | (~v129(constB24, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB23, constB24)) | v127(constB23, 1) | (~v129(constB24, 1)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5454,plain,
% 27.35/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB23, constB24)) | v127(constB23, 1) | (~v129(constB24, 1)))),
% 27.35/17.93 inference(quant_inst,[status(thm)],[])).
% 27.35/17.93 tff(5455,plain,
% 27.35/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB23, constB24)) | v127(constB23, 1) | (~v129(constB24, 1))),
% 27.35/17.93 inference(modus_ponens,[status(thm)],[5454, 5453])).
% 27.35/17.93 tff(5456,plain,
% 27.35/17.93 (v127(constB23, 1) | (~v129(constB24, 1))),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5455, 559, 3135])).
% 27.35/17.93 tff(5457,plain,
% 27.35/17.93 (v127(constB23, 1)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5456, 5452])).
% 27.35/17.93 tff(5458,plain,
% 27.35/17.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB23, 1)) | v26(constB23) | v130(constB23, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB23, 1)) | v26(constB23) | v130(constB23, 1))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5459,plain,
% 27.35/17.93 ((v26(constB23) | v130(constB23, 1) | (~v127(constB23, 1))) <=> ((~v127(constB23, 1)) | v26(constB23) | v130(constB23, 1))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5460,plain,
% 27.35/17.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB23) | v130(constB23, 1) | (~v127(constB23, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB23, 1)) | v26(constB23) | v130(constB23, 1)))),
% 27.35/17.93 inference(monotonicity,[status(thm)],[5459])).
% 27.35/17.93 tff(5461,plain,
% 27.35/17.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB23) | v130(constB23, 1) | (~v127(constB23, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB23, 1)) | v26(constB23) | v130(constB23, 1))),
% 27.35/17.93 inference(transitivity,[status(thm)],[5460, 5458])).
% 27.35/17.93 tff(5462,plain,
% 27.35/17.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB23) | v130(constB23, 1) | (~v127(constB23, 1)))),
% 27.35/17.93 inference(quant_inst,[status(thm)],[])).
% 27.35/17.93 tff(5463,plain,
% 27.35/17.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB23, 1)) | v26(constB23) | v130(constB23, 1)),
% 27.35/17.93 inference(modus_ponens,[status(thm)],[5462, 5461])).
% 27.35/17.93 tff(5464,plain,
% 27.35/17.93 ((~v127(constB23, 1)) | v130(constB23, 1)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5463, 541, 3117])).
% 27.35/17.93 tff(5465,plain,
% 27.35/17.93 (v130(constB23, 1)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5464, 5457])).
% 27.35/17.93 tff(5466,plain,
% 27.35/17.93 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB23) | v120(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | (~v130(constB23, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB23) | v120(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | (~v130(constB23, 1)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5467,plain,
% 27.35/17.93 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB23) | v120(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | (~v130(constB23, 1)))),
% 27.35/17.93 inference(quant_inst,[status(thm)],[])).
% 27.35/17.93 tff(5468,plain,
% 27.35/17.93 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB23) | v120(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | (~v130(constB23, 1))),
% 27.35/17.93 inference(modus_ponens,[status(thm)],[5467, 5466])).
% 27.35/17.93 tff(5469,plain,
% 27.35/17.93 (v123(constB23)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5468, 2214, 5465, 5443, 5442, 5438, 5429, 5425])).
% 27.35/17.93 tff(5470,plain,
% 27.35/17.93 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB23)) | (~v130(constB23, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB23)) | (~v130(constB23, 1)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5471,plain,
% 27.35/17.93 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB23)) | (~v130(constB23, 1)))),
% 27.35/17.93 inference(quant_inst,[status(thm)],[])).
% 27.35/17.93 tff(5472,plain,
% 27.35/17.93 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB23)) | (~v130(constB23, 1))),
% 27.35/17.93 inference(modus_ponens,[status(thm)],[5471, 5470])).
% 27.35/17.93 tff(5473,plain,
% 27.35/17.93 ($false),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5472, 1712, 5465, 5469])).
% 27.35/17.93 tff(5474,plain,((~v100(constB24)) | (~v90(constB24, 1)) | (~v90(constB24, 2)) | (~v90(constB24, 0))), inference(lemma,lemma(discharge,[]))).
% 27.35/17.93 tff(5475,plain,
% 27.35/17.93 (~v100(constB24)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5474, 5401, 5384, 5367])).
% 27.35/17.93 tff(5476,plain,
% 27.35/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB23, 0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB23, 0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 0)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5477,plain,
% 27.35/17.93 (((~nextState(constB23, constB24)) | v90(constB23, 0) | v100(constB24) | (~v90(constB24, 0))) <=> (v90(constB23, 0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 0)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5478,plain,
% 27.35/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB23, constB24)) | v90(constB23, 0) | v100(constB24) | (~v90(constB24, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB23, 0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 0))))),
% 27.35/17.93 inference(monotonicity,[status(thm)],[5477])).
% 27.35/17.93 tff(5479,plain,
% 27.35/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB23, constB24)) | v90(constB23, 0) | v100(constB24) | (~v90(constB24, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB23, 0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 0)))),
% 27.35/17.93 inference(transitivity,[status(thm)],[5478, 5476])).
% 27.35/17.93 tff(5480,plain,
% 27.35/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB23, constB24)) | v90(constB23, 0) | v100(constB24) | (~v90(constB24, 0)))),
% 27.35/17.93 inference(quant_inst,[status(thm)],[])).
% 27.35/17.93 tff(5481,plain,
% 27.35/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB23, 0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 0))),
% 27.35/17.93 inference(modus_ponens,[status(thm)],[5480, 5479])).
% 27.35/17.93 tff(5482,plain,
% 27.35/17.93 (v90(constB23, 0) | v100(constB24) | (~v90(constB24, 0))),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5481, 212, 3135])).
% 27.35/17.93 tff(5483,plain,
% 27.35/17.93 (v90(constB23, 0)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5482, 5475, 5367])).
% 27.35/17.93 tff(5484,plain,
% 27.35/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB22, 0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB22, 0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 0)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5485,plain,
% 27.35/17.93 (((~nextState(constB22, constB23)) | v90(constB22, 0) | v100(constB23) | (~v90(constB23, 0))) <=> (v90(constB22, 0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 0)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5486,plain,
% 27.35/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB22, constB23)) | v90(constB22, 0) | v100(constB23) | (~v90(constB23, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB22, 0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 0))))),
% 27.35/17.93 inference(monotonicity,[status(thm)],[5485])).
% 27.35/17.93 tff(5487,plain,
% 27.35/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB22, constB23)) | v90(constB22, 0) | v100(constB23) | (~v90(constB23, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB22, 0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 0)))),
% 27.35/17.93 inference(transitivity,[status(thm)],[5486, 5484])).
% 27.35/17.93 tff(5488,plain,
% 27.35/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB22, constB23)) | v90(constB22, 0) | v100(constB23) | (~v90(constB23, 0)))),
% 27.35/17.93 inference(quant_inst,[status(thm)],[])).
% 27.35/17.93 tff(5489,plain,
% 27.35/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB22, 0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 0))),
% 27.35/17.93 inference(modus_ponens,[status(thm)],[5488, 5487])).
% 27.35/17.93 tff(5490,plain,
% 27.35/17.93 (v90(constB22, 0) | v100(constB23) | (~v90(constB23, 0))),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5489, 212, 3012])).
% 27.35/17.93 tff(5491,plain,
% 27.35/17.93 (v90(constB22, 0) | (~v90(constB23, 0))),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5490, 3024])).
% 27.35/17.93 tff(5492,plain,
% 27.35/17.93 (v90(constB22, 0)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5491, 5483])).
% 27.35/17.93 tff(5493,plain,
% 27.35/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB23, 1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB23, 1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 1)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5494,plain,
% 27.35/17.93 (((~nextState(constB23, constB24)) | v90(constB23, 1) | v100(constB24) | (~v90(constB24, 1))) <=> (v90(constB23, 1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 1)))),
% 27.35/17.93 inference(rewrite,[status(thm)],[])).
% 27.35/17.93 tff(5495,plain,
% 27.35/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB23, constB24)) | v90(constB23, 1) | v100(constB24) | (~v90(constB24, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB23, 1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 1))))),
% 27.35/17.93 inference(monotonicity,[status(thm)],[5494])).
% 27.35/17.93 tff(5496,plain,
% 27.35/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB23, constB24)) | v90(constB23, 1) | v100(constB24) | (~v90(constB24, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB23, 1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 1)))),
% 27.35/17.93 inference(transitivity,[status(thm)],[5495, 5493])).
% 27.35/17.93 tff(5497,plain,
% 27.35/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB23, constB24)) | v90(constB23, 1) | v100(constB24) | (~v90(constB24, 1)))),
% 27.35/17.93 inference(quant_inst,[status(thm)],[])).
% 27.35/17.93 tff(5498,plain,
% 27.35/17.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB23, 1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 1))),
% 27.35/17.93 inference(modus_ponens,[status(thm)],[5497, 5496])).
% 27.35/17.93 tff(5499,plain,
% 27.35/17.93 (v90(constB23, 1) | v100(constB24) | (~v90(constB24, 1))),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5498, 191, 3135])).
% 27.35/17.93 tff(5500,plain,
% 27.35/17.93 (v90(constB23, 1)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[5499, 5401, 5475])).
% 27.35/17.93 tff(5501,plain,
% 27.35/17.93 (v90(constB22, 1)),
% 27.35/17.93 inference(unit_resolution,[status(thm)],[3066, 5500])).
% 27.35/17.93 tff(5502,plain,
% 27.35/17.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB23, 2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB23, 2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 2)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5503,plain,
% 27.35/17.94 (((~nextState(constB23, constB24)) | v90(constB23, 2) | v100(constB24) | (~v90(constB24, 2))) <=> (v90(constB23, 2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 2)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5504,plain,
% 27.35/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB23, constB24)) | v90(constB23, 2) | v100(constB24) | (~v90(constB24, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB23, 2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 2))))),
% 27.35/17.94 inference(monotonicity,[status(thm)],[5503])).
% 27.35/17.94 tff(5505,plain,
% 27.35/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB23, constB24)) | v90(constB23, 2) | v100(constB24) | (~v90(constB24, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB23, 2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 2)))),
% 27.35/17.94 inference(transitivity,[status(thm)],[5504, 5502])).
% 27.35/17.94 tff(5506,plain,
% 27.35/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB23, constB24)) | v90(constB23, 2) | v100(constB24) | (~v90(constB24, 2)))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5507,plain,
% 27.35/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB23, 2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 2))),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5506, 5505])).
% 27.35/17.94 tff(5508,plain,
% 27.35/17.94 (v90(constB23, 2) | v100(constB24) | (~v90(constB24, 2))),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5507, 170, 3135])).
% 27.35/17.94 tff(5509,plain,
% 27.35/17.94 (v90(constB23, 2)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5508, 5475, 5384])).
% 27.35/17.94 tff(5510,plain,
% 27.35/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB22, 2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB22, 2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 2)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5511,plain,
% 27.35/17.94 (((~nextState(constB22, constB23)) | v90(constB22, 2) | v100(constB23) | (~v90(constB23, 2))) <=> (v90(constB22, 2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 2)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5512,plain,
% 27.35/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB22, constB23)) | v90(constB22, 2) | v100(constB23) | (~v90(constB23, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB22, 2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 2))))),
% 27.35/17.94 inference(monotonicity,[status(thm)],[5511])).
% 27.35/17.94 tff(5513,plain,
% 27.35/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB22, constB23)) | v90(constB22, 2) | v100(constB23) | (~v90(constB23, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB22, 2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 2)))),
% 27.35/17.94 inference(transitivity,[status(thm)],[5512, 5510])).
% 27.35/17.94 tff(5514,plain,
% 27.35/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB22, constB23)) | v90(constB22, 2) | v100(constB23) | (~v90(constB23, 2)))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5515,plain,
% 27.35/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB22, 2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 2))),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5514, 5513])).
% 27.35/17.94 tff(5516,plain,
% 27.35/17.94 (v90(constB22, 2) | v100(constB23) | (~v90(constB23, 2))),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5515, 170, 3012])).
% 27.35/17.94 tff(5517,plain,
% 27.35/17.94 (v90(constB22, 2) | (~v90(constB23, 2))),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5516, 3024])).
% 27.35/17.94 tff(5518,plain,
% 27.35/17.94 (v90(constB22, 2)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5517, 5509])).
% 27.35/17.94 tff(5519,assumption,(v90(constB22, 0)), introduced(assumption)).
% 27.35/17.94 tff(5520,plain,
% 27.35/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB21, 0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB21, 0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 0)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5521,plain,
% 27.35/17.94 (((~nextState(constB21, constB22)) | v90(constB21, 0) | v100(constB22) | (~v90(constB22, 0))) <=> (v90(constB21, 0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 0)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5522,plain,
% 27.35/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB21, constB22)) | v90(constB21, 0) | v100(constB22) | (~v90(constB22, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB21, 0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 0))))),
% 27.35/17.94 inference(monotonicity,[status(thm)],[5521])).
% 27.35/17.94 tff(5523,plain,
% 27.35/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB21, constB22)) | v90(constB21, 0) | v100(constB22) | (~v90(constB22, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB21, 0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 0)))),
% 27.35/17.94 inference(transitivity,[status(thm)],[5522, 5520])).
% 27.35/17.94 tff(5524,plain,
% 27.35/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB21, constB22)) | v90(constB21, 0) | v100(constB22) | (~v90(constB22, 0)))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5525,plain,
% 27.35/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB21, 0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 0))),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5524, 5523])).
% 27.35/17.94 tff(5526,plain,
% 27.35/17.94 (v90(constB21, 0) | v100(constB22) | (~v90(constB22, 0))),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5525, 212, 2950])).
% 27.35/17.94 tff(5527,plain,
% 27.35/17.94 (v100(constB22)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5526, 5195, 5519])).
% 27.35/17.94 tff(5528,assumption,(v90(constB22, 1)), introduced(assumption)).
% 27.35/17.94 tff(5529,plain,
% 27.35/17.94 (v129(constB22, 1) | (~v100(constB22))),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[3056, 574, 5528])).
% 27.35/17.94 tff(5530,plain,
% 27.35/17.94 (v129(constB22, 1)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5529, 5527])).
% 27.35/17.94 tff(5531,plain,
% 27.35/17.94 (v127(constB21, 1)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[3049, 5530])).
% 27.35/17.94 tff(5532,plain,
% 27.35/17.94 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | (~v127(VarCurr, 1))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, 1))))),
% 27.35/17.94 inference(bind,[status(th)],[])).
% 27.35/17.94 tff(5533,plain,
% 27.35/17.94 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))),
% 27.35/17.94 inference(quant_intro,[status(thm)],[5532])).
% 27.35/17.94 tff(5534,plain,
% 27.35/17.94 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5535,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_2')).
% 27.35/17.94 tff(5536,plain,
% 27.35/17.94 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5535, 5534])).
% 27.35/17.94 tff(5537,plain,(
% 27.35/17.94 ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))),
% 27.35/17.94 inference(skolemize,[status(sab)],[5536])).
% 27.35/17.94 tff(5538,plain,
% 27.35/17.94 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5537, 5533])).
% 27.35/17.94 tff(5539,plain,
% 27.35/17.94 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | ((~v26(constB21)) | (~v127(constB21, 1)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | (~v26(constB21)) | (~v127(constB21, 1)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5540,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | ((~v26(constB21)) | (~v127(constB21, 1)))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5541,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | (~v26(constB21)) | (~v127(constB21, 1))),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5540, 5539])).
% 27.35/17.94 tff(5542,plain,
% 27.35/17.94 (~v26(constB21)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5541, 5538, 5531])).
% 27.35/17.94 tff(5543,plain,
% 27.35/17.94 (v130(constB21, 1)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[3043, 541, 5531, 5542])).
% 27.35/17.94 tff(5544,plain,
% 27.35/17.94 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB21)) | (~v130(constB21, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB21)) | (~v130(constB21, 1)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5545,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB21)) | (~v130(constB21, 1)))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5546,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB21)) | (~v130(constB21, 1))),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5545, 5544])).
% 27.35/17.94 tff(5547,plain,
% 27.35/17.94 (~v119(constB21)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5546, 527, 5543])).
% 27.35/17.94 tff(5548,plain,
% 27.35/17.94 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB21)) | v90(constB21, 0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB21)) | v90(constB21, 0))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5549,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB21)) | v90(constB21, 0))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5550,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB21)) | v90(constB21, 0)),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5549, 5548])).
% 27.35/17.94 tff(5551,plain,
% 27.35/17.94 (~v120(constB21)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5550, 5047, 5195])).
% 27.35/17.94 tff(5552,plain,
% 27.35/17.94 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB21)) | v90(constB21, 0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB21)) | v90(constB21, 0))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5553,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB21)) | v90(constB21, 0))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5554,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB21)) | v90(constB21, 0)),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5553, 5552])).
% 27.35/17.94 tff(5555,plain,
% 27.35/17.94 (~v122(constB21)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5554, 3757, 5195])).
% 27.35/17.94 tff(5556,plain,
% 27.35/17.94 (~v123(constB21)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[3036, 1712, 5543])).
% 27.35/17.94 tff(5557,plain,
% 27.35/17.94 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB21)) | v90(constB21, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB21)) | v90(constB21, 0))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5558,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB21)) | v90(constB21, 0))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5559,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB21)) | v90(constB21, 0)),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5558, 5557])).
% 27.35/17.94 tff(5560,plain,
% 27.35/17.94 (~v124(constB21)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5559, 4876, 5195])).
% 27.35/17.94 tff(5561,assumption,(v90(constB22, 2)), introduced(assumption)).
% 27.35/17.94 tff(5562,plain,
% 27.35/17.94 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB22, 2)) | v129(constB22, 2) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB22, 2)) | v129(constB22, 2) | (~v100(constB22)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5563,plain,
% 27.35/17.94 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB22, 2)) | v129(constB22, 2) | (~v100(constB22)))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5564,plain,
% 27.35/17.94 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB22, 2)) | v129(constB22, 2) | (~v100(constB22))),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5563, 5562])).
% 27.35/17.94 tff(5565,plain,
% 27.35/17.94 (v129(constB22, 2) | (~v100(constB22))),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5564, 488, 5561])).
% 27.35/17.94 tff(5566,plain,
% 27.35/17.94 (v129(constB22, 2)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5565, 5527])).
% 27.35/17.94 tff(5567,plain,
% 27.35/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB21, constB22)) | v127(constB21, 2) | (~v129(constB22, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB21, constB22)) | v127(constB21, 2) | (~v129(constB22, 2)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5568,plain,
% 27.35/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB21, constB22)) | v127(constB21, 2) | (~v129(constB22, 2)))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5569,plain,
% 27.35/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB21, constB22)) | v127(constB21, 2) | (~v129(constB22, 2))),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5568, 5567])).
% 27.35/17.94 tff(5570,plain,
% 27.35/17.94 (v127(constB21, 2) | (~v129(constB22, 2))),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5569, 473, 2950])).
% 27.35/17.94 tff(5571,plain,
% 27.35/17.94 (v127(constB21, 2)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5570, 5566])).
% 27.35/17.94 tff(5572,plain,
% 27.35/17.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB21, 2)) | v26(constB21) | v130(constB21, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB21, 2)) | v26(constB21) | v130(constB21, 2))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5573,plain,
% 27.35/17.94 ((v26(constB21) | v130(constB21, 2) | (~v127(constB21, 2))) <=> ((~v127(constB21, 2)) | v26(constB21) | v130(constB21, 2))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5574,plain,
% 27.35/17.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB21) | v130(constB21, 2) | (~v127(constB21, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB21, 2)) | v26(constB21) | v130(constB21, 2)))),
% 27.35/17.94 inference(monotonicity,[status(thm)],[5573])).
% 27.35/17.94 tff(5575,plain,
% 27.35/17.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB21) | v130(constB21, 2) | (~v127(constB21, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB21, 2)) | v26(constB21) | v130(constB21, 2))),
% 27.35/17.94 inference(transitivity,[status(thm)],[5574, 5572])).
% 27.35/17.94 tff(5576,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB21) | v130(constB21, 2) | (~v127(constB21, 2)))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5577,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB21, 2)) | v26(constB21) | v130(constB21, 2)),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5576, 5575])).
% 27.35/17.94 tff(5578,plain,
% 27.35/17.94 (v130(constB21, 2)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5577, 455, 5571, 5542])).
% 27.35/17.94 tff(5579,plain,
% 27.35/17.94 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB21) | v120(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | (~v130(constB21, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB21) | v120(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | (~v130(constB21, 2)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5580,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB21) | v120(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | (~v130(constB21, 2)))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5581,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB21) | v120(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | (~v130(constB21, 2))),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5580, 5579])).
% 27.35/17.94 tff(5582,plain,
% 27.35/17.94 (v121(constB21)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5581, 2155, 5578, 5560, 5556, 5555, 5551, 5547])).
% 27.35/17.94 tff(5583,plain,
% 27.35/17.94 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB21)) | (~v130(constB21, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB21)) | (~v130(constB21, 2)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5584,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB21)) | (~v130(constB21, 2)))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5585,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB21)) | (~v130(constB21, 2))),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5584, 5583])).
% 27.35/17.94 tff(5586,plain,
% 27.35/17.94 ($false),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5585, 1155, 5578, 5582])).
% 27.35/17.94 tff(5587,plain,(v90(constB21, 0) | (~v90(constB22, 2)) | (~v90(constB22, 1)) | (~v90(constB22, 0))), inference(lemma,lemma(discharge,[]))).
% 27.35/17.94 tff(5588,plain,
% 27.35/17.94 ($false),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5587, 5518, 5501, 5195, 5492])).
% 27.35/17.94 tff(5589,plain,(v100(constB30) | v90(constB21, 0) | (~v90(constB30, 2)) | (~v90(constB30, 1)) | (~v90(constB30, 0))), inference(lemma,lemma(discharge,[]))).
% 27.35/17.94 tff(5590,plain,
% 27.35/17.94 (v100(constB30)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5589, 5199, 5195, 5194, 5193])).
% 27.35/17.94 tff(5591,plain,
% 27.35/17.94 (v129(constB30, 1) | (~v100(constB30))),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[4822, 574, 5194])).
% 27.35/17.94 tff(5592,plain,
% 27.35/17.94 (v129(constB30, 1)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5591, 5590])).
% 27.35/17.94 tff(5593,plain,
% 27.35/17.94 (v127(constB29, 1)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[4815, 5592])).
% 27.35/17.94 tff(5594,plain,
% 27.35/17.94 (v130(constB29, 1)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[4932, 5593])).
% 27.35/17.94 tff(5595,plain,
% 27.35/17.94 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB29)) | (~v130(constB29, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB29)) | (~v130(constB29, 1)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5596,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB29)) | (~v130(constB29, 1)))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5597,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB29)) | (~v130(constB29, 1))),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5596, 5595])).
% 27.35/17.94 tff(5598,plain,
% 27.35/17.94 (~v122(constB29)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5597, 1424, 5594])).
% 27.35/17.94 tff(5599,plain,
% 27.35/17.94 (~v121(constB29)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[4271, 5590, 5196])).
% 27.35/17.94 tff(5600,plain,
% 27.35/17.94 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB30, 0)) | v129(constB30, 0) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB30, 0)) | v129(constB30, 0) | (~v100(constB30)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5601,plain,
% 27.35/17.94 (((~v90(constB30, 0)) | (~v100(constB30)) | v129(constB30, 0)) <=> ((~v90(constB30, 0)) | v129(constB30, 0) | (~v100(constB30)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5602,plain,
% 27.35/17.94 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB30, 0)) | (~v100(constB30)) | v129(constB30, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB30, 0)) | v129(constB30, 0) | (~v100(constB30))))),
% 27.35/17.94 inference(monotonicity,[status(thm)],[5601])).
% 27.35/17.94 tff(5603,plain,
% 27.35/17.94 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB30, 0)) | (~v100(constB30)) | v129(constB30, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB30, 0)) | v129(constB30, 0) | (~v100(constB30)))),
% 27.35/17.94 inference(transitivity,[status(thm)],[5602, 5600])).
% 27.35/17.94 tff(5604,plain,
% 27.35/17.94 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB30, 0)) | (~v100(constB30)) | v129(constB30, 0))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5605,plain,
% 27.35/17.94 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB30, 0)) | v129(constB30, 0) | (~v100(constB30))),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5604, 5603])).
% 27.35/17.94 tff(5606,plain,
% 27.35/17.94 (v129(constB30, 0) | (~v100(constB30))),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5605, 966, 5193])).
% 27.35/17.94 tff(5607,plain,
% 27.35/17.94 (v129(constB30, 0)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5606, 5590])).
% 27.35/17.94 tff(5608,plain,
% 27.35/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB29, constB30)) | v127(constB29, 0) | (~v129(constB30, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB29, constB30)) | v127(constB29, 0) | (~v129(constB30, 0)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5609,plain,
% 27.35/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB29, constB30)) | v127(constB29, 0) | (~v129(constB30, 0)))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5610,plain,
% 27.35/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB29, constB30)) | v127(constB29, 0) | (~v129(constB30, 0))),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5609, 5608])).
% 27.35/17.94 tff(5611,plain,
% 27.35/17.94 (v127(constB29, 0) | (~v129(constB30, 0))),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5610, 951, 4117])).
% 27.35/17.94 tff(5612,plain,
% 27.35/17.94 (v127(constB29, 0)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5611, 5607])).
% 27.35/17.94 tff(5613,plain,
% 27.35/17.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB29, 0)) | v26(constB29) | v130(constB29, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB29, 0)) | v26(constB29) | v130(constB29, 0))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5614,plain,
% 27.35/17.94 ((v26(constB29) | v130(constB29, 0) | (~v127(constB29, 0))) <=> ((~v127(constB29, 0)) | v26(constB29) | v130(constB29, 0))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5615,plain,
% 27.35/17.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB29) | v130(constB29, 0) | (~v127(constB29, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB29, 0)) | v26(constB29) | v130(constB29, 0)))),
% 27.35/17.94 inference(monotonicity,[status(thm)],[5614])).
% 27.35/17.94 tff(5616,plain,
% 27.35/17.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB29) | v130(constB29, 0) | (~v127(constB29, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB29, 0)) | v26(constB29) | v130(constB29, 0))),
% 27.35/17.94 inference(transitivity,[status(thm)],[5615, 5613])).
% 27.35/17.94 tff(5617,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB29) | v130(constB29, 0) | (~v127(constB29, 0)))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5618,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB29, 0)) | v26(constB29) | v130(constB29, 0)),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5617, 5616])).
% 27.35/17.94 tff(5619,plain,
% 27.35/17.94 ((~v127(constB29, 0)) | v130(constB29, 0)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5618, 933, 4099])).
% 27.35/17.94 tff(5620,plain,
% 27.35/17.94 (v130(constB29, 0)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5619, 5612])).
% 27.35/17.94 tff(5621,plain,
% 27.35/17.94 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB29)) | (~v130(constB29, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB29)) | (~v130(constB29, 0)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5622,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB29)) | (~v130(constB29, 0)))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5623,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB29)) | (~v130(constB29, 0))),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5622, 5621])).
% 27.35/17.94 tff(5624,plain,
% 27.35/17.94 (~v124(constB29)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5623, 1967, 5620])).
% 27.35/17.94 tff(5625,plain,
% 27.35/17.94 (~v123(constB29)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[4741, 1712, 5594])).
% 27.35/17.94 tff(5626,plain,
% 27.35/17.94 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB29)) | (~v130(constB29, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB29)) | (~v130(constB29, 0)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5627,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB29)) | (~v130(constB29, 0)))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5628,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB29)) | (~v130(constB29, 0))),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5627, 5626])).
% 27.35/17.94 tff(5629,plain,
% 27.35/17.94 (~v120(constB29)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5628, 919, 5620])).
% 27.35/17.94 tff(5630,plain,
% 27.35/17.94 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB29)) | (~v130(constB29, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB29)) | (~v130(constB29, 1)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5631,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB29)) | (~v130(constB29, 1)))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5632,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB29)) | (~v130(constB29, 1))),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5631, 5630])).
% 27.35/17.94 tff(5633,plain,
% 27.35/17.94 (~v119(constB29)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5632, 527, 5594])).
% 27.35/17.94 tff(5634,plain,
% 27.35/17.94 (v129(constB30, 2) | (~v100(constB30))),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[4173, 488, 5199])).
% 27.35/17.94 tff(5635,plain,
% 27.35/17.94 (v129(constB30, 2)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5634, 5590])).
% 27.35/17.94 tff(5636,plain,
% 27.35/17.94 (v127(constB29, 2)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[4168, 5635])).
% 27.35/17.94 tff(5637,plain,
% 27.35/17.94 (v130(constB29, 2)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[4163, 5636])).
% 27.35/17.94 tff(5638,plain,
% 27.35/17.94 ($false),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[4922, 2155, 5637, 5633, 5629, 5625, 5624, 5599, 5598])).
% 27.35/17.94 tff(5639,plain,(v100(constB32) | v90(constB21, 0)), inference(lemma,lemma(discharge,[]))).
% 27.35/17.94 tff(5640,plain,
% 27.35/17.94 (v100(constB32)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5639, 2909])).
% 27.35/17.94 tff(5641,plain,
% 27.35/17.94 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB32, 0)) | v129(constB32, 0) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB32, 0)) | v129(constB32, 0) | (~v100(constB32)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5642,plain,
% 27.35/17.94 (((~v90(constB32, 0)) | (~v100(constB32)) | v129(constB32, 0)) <=> ((~v90(constB32, 0)) | v129(constB32, 0) | (~v100(constB32)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5643,plain,
% 27.35/17.94 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB32, 0)) | (~v100(constB32)) | v129(constB32, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB32, 0)) | v129(constB32, 0) | (~v100(constB32))))),
% 27.35/17.94 inference(monotonicity,[status(thm)],[5642])).
% 27.35/17.94 tff(5644,plain,
% 27.35/17.94 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB32, 0)) | (~v100(constB32)) | v129(constB32, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB32, 0)) | v129(constB32, 0) | (~v100(constB32)))),
% 27.35/17.94 inference(transitivity,[status(thm)],[5643, 5641])).
% 27.35/17.94 tff(5645,plain,
% 27.35/17.94 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB32, 0)) | (~v100(constB32)) | v129(constB32, 0))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5646,plain,
% 27.35/17.94 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB32, 0)) | v129(constB32, 0) | (~v100(constB32))),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5645, 5644])).
% 27.35/17.94 tff(5647,plain,
% 27.35/17.94 ((~v90(constB32, 0)) | v129(constB32, 0)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5646, 966, 5640])).
% 27.35/17.94 tff(5648,plain,
% 27.35/17.94 (~v90(constB32, 0)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5647, 4296])).
% 27.35/17.94 tff(5649,plain,
% 27.35/17.94 ((~v1(constB33)) <=> (~v1(constB33))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5650,axiom,(~v1(constB33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_33_1_1')).
% 27.35/17.94 tff(5651,plain,
% 27.35/17.94 (~v1(constB33)),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5650, 5649])).
% 27.35/17.94 tff(5652,plain,
% 27.35/17.94 (nextState(constB32, constB33) <=> nextState(constB32, constB33)),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5653,axiom,(nextState(constB32, constB33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_32_1')).
% 27.35/17.94 tff(5654,plain,
% 27.35/17.94 (nextState(constB32, constB33)),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5653, 5652])).
% 27.35/17.94 tff(5655,plain,
% 27.35/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5656,plain,
% 27.35/17.94 (((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33)) <=> (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5657,plain,
% 27.35/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33))))),
% 27.35/17.94 inference(monotonicity,[status(thm)],[5656])).
% 27.35/17.94 tff(5658,plain,
% 27.35/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 27.35/17.94 inference(transitivity,[status(thm)],[5657, 5655])).
% 27.35/17.94 tff(5659,plain,
% 27.35/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5660,plain,
% 27.35/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33))),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5659, 5658])).
% 27.35/17.94 tff(5661,plain,
% 27.35/17.94 (~v101(constB33)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5660, 138, 5654, 5651])).
% 27.35/17.94 tff(5662,plain,
% 27.35/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5663,plain,
% 27.35/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5664,plain,
% 27.35/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33))),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5663, 5662])).
% 27.35/17.94 tff(5665,plain,
% 27.35/17.94 (v101(constB33) | (~v100(constB33))),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5664, 155, 5654])).
% 27.35/17.94 tff(5666,plain,
% 27.35/17.94 (~v100(constB33)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5665, 5661])).
% 27.35/17.94 tff(5667,plain,
% 27.35/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB32, 0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB32, 0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 0)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5668,plain,
% 27.35/17.94 (((~nextState(constB32, constB33)) | v90(constB32, 0) | v100(constB33) | (~v90(constB33, 0))) <=> (v90(constB32, 0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 0)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5669,plain,
% 27.35/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB32, constB33)) | v90(constB32, 0) | v100(constB33) | (~v90(constB33, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB32, 0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 0))))),
% 27.35/17.94 inference(monotonicity,[status(thm)],[5668])).
% 27.35/17.94 tff(5670,plain,
% 27.35/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB32, constB33)) | v90(constB32, 0) | v100(constB33) | (~v90(constB33, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB32, 0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 0)))),
% 27.35/17.94 inference(transitivity,[status(thm)],[5669, 5667])).
% 27.35/17.94 tff(5671,plain,
% 27.35/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB32, constB33)) | v90(constB32, 0) | v100(constB33) | (~v90(constB33, 0)))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5672,plain,
% 27.35/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB32, 0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 0))),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5671, 5670])).
% 27.35/17.94 tff(5673,plain,
% 27.35/17.94 (v90(constB32, 0) | v100(constB33) | (~v90(constB33, 0))),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5672, 212, 5654])).
% 27.35/17.94 tff(5674,plain,
% 27.35/17.94 (v90(constB32, 0) | (~v90(constB33, 0))),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5673, 5666])).
% 27.35/17.94 tff(5675,plain,
% 27.35/17.94 (~v90(constB33, 0)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5674, 5648])).
% 27.35/17.94 tff(5676,plain,
% 27.35/17.94 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB31)) | (~v130(constB31, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB31)) | (~v130(constB31, 1)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5677,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB31)) | (~v130(constB31, 1)))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5678,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB31)) | (~v130(constB31, 1))),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5677, 5676])).
% 27.35/17.94 tff(5679,plain,
% 27.35/17.94 (~v130(constB31, 1)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5678, 1424, 4272])).
% 27.35/17.94 tff(5680,plain,
% 27.35/17.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB31, 1)) | v26(constB31) | v130(constB31, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB31, 1)) | v26(constB31) | v130(constB31, 1))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5681,plain,
% 27.35/17.94 ((v26(constB31) | v130(constB31, 1) | (~v127(constB31, 1))) <=> ((~v127(constB31, 1)) | v26(constB31) | v130(constB31, 1))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5682,plain,
% 27.35/17.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB31) | v130(constB31, 1) | (~v127(constB31, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB31, 1)) | v26(constB31) | v130(constB31, 1)))),
% 27.35/17.94 inference(monotonicity,[status(thm)],[5681])).
% 27.35/17.94 tff(5683,plain,
% 27.35/17.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB31) | v130(constB31, 1) | (~v127(constB31, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB31, 1)) | v26(constB31) | v130(constB31, 1))),
% 27.35/17.94 inference(transitivity,[status(thm)],[5682, 5680])).
% 27.35/17.94 tff(5684,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB31) | v130(constB31, 1) | (~v127(constB31, 1)))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5685,plain,
% 27.35/17.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB31, 1)) | v26(constB31) | v130(constB31, 1)),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5684, 5683])).
% 27.35/17.94 tff(5686,plain,
% 27.35/17.94 ((~v127(constB31, 1)) | v130(constB31, 1)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5685, 541, 4280])).
% 27.35/17.94 tff(5687,plain,
% 27.35/17.94 (~v127(constB31, 1)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5686, 5679])).
% 27.35/17.94 tff(5688,plain,
% 27.35/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB31, constB32)) | v127(constB31, 1) | (~v129(constB32, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB31, constB32)) | v127(constB31, 1) | (~v129(constB32, 1)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5689,plain,
% 27.35/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB31, constB32)) | v127(constB31, 1) | (~v129(constB32, 1)))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5690,plain,
% 27.35/17.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB31, constB32)) | v127(constB31, 1) | (~v129(constB32, 1))),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5689, 5688])).
% 27.35/17.94 tff(5691,plain,
% 27.35/17.94 (v127(constB31, 1) | (~v129(constB32, 1))),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5690, 559, 4291])).
% 27.35/17.94 tff(5692,plain,
% 27.35/17.94 (~v129(constB32, 1)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5691, 5687])).
% 27.35/17.94 tff(5693,plain,
% 27.35/17.94 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB32, 1)) | v129(constB32, 1) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB32, 1)) | v129(constB32, 1) | (~v100(constB32)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5694,plain,
% 27.35/17.94 (((~v90(constB32, 1)) | (~v100(constB32)) | v129(constB32, 1)) <=> ((~v90(constB32, 1)) | v129(constB32, 1) | (~v100(constB32)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5695,plain,
% 27.35/17.94 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB32, 1)) | (~v100(constB32)) | v129(constB32, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB32, 1)) | v129(constB32, 1) | (~v100(constB32))))),
% 27.35/17.94 inference(monotonicity,[status(thm)],[5694])).
% 27.35/17.94 tff(5696,plain,
% 27.35/17.94 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB32, 1)) | (~v100(constB32)) | v129(constB32, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB32, 1)) | v129(constB32, 1) | (~v100(constB32)))),
% 27.35/17.94 inference(transitivity,[status(thm)],[5695, 5693])).
% 27.35/17.94 tff(5697,plain,
% 27.35/17.94 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB32, 1)) | (~v100(constB32)) | v129(constB32, 1))),
% 27.35/17.94 inference(quant_inst,[status(thm)],[])).
% 27.35/17.94 tff(5698,plain,
% 27.35/17.94 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB32, 1)) | v129(constB32, 1) | (~v100(constB32))),
% 27.35/17.94 inference(modus_ponens,[status(thm)],[5697, 5696])).
% 27.35/17.94 tff(5699,plain,
% 27.35/17.94 ((~v90(constB32, 1)) | v129(constB32, 1)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5698, 574, 5640])).
% 27.35/17.94 tff(5700,plain,
% 27.35/17.94 (~v90(constB32, 1)),
% 27.35/17.94 inference(unit_resolution,[status(thm)],[5699, 5692])).
% 27.35/17.94 tff(5701,plain,
% 27.35/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB32, 1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB32, 1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 1)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5702,plain,
% 27.35/17.94 (((~nextState(constB32, constB33)) | v90(constB32, 1) | v100(constB33) | (~v90(constB33, 1))) <=> (v90(constB32, 1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 1)))),
% 27.35/17.94 inference(rewrite,[status(thm)],[])).
% 27.35/17.94 tff(5703,plain,
% 27.35/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB32, constB33)) | v90(constB32, 1) | v100(constB33) | (~v90(constB33, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB32, 1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 1))))),
% 27.35/17.94 inference(monotonicity,[status(thm)],[5702])).
% 27.35/17.94 tff(5704,plain,
% 27.35/17.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB32, constB33)) | v90(constB32, 1) | v100(constB33) | (~v90(constB33, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB32, 1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 1)))),
% 27.35/17.95 inference(transitivity,[status(thm)],[5703, 5701])).
% 27.35/17.95 tff(5705,plain,
% 27.35/17.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB32, constB33)) | v90(constB32, 1) | v100(constB33) | (~v90(constB33, 1)))),
% 27.35/17.95 inference(quant_inst,[status(thm)],[])).
% 27.35/17.95 tff(5706,plain,
% 27.35/17.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB32, 1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 1))),
% 27.35/17.95 inference(modus_ponens,[status(thm)],[5705, 5704])).
% 27.35/17.95 tff(5707,plain,
% 27.35/17.95 (v90(constB32, 1) | v100(constB33) | (~v90(constB33, 1))),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5706, 191, 5654])).
% 27.35/17.95 tff(5708,plain,
% 27.35/17.95 (v90(constB32, 1) | (~v90(constB33, 1))),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5707, 5666])).
% 27.35/17.95 tff(5709,plain,
% 27.35/17.95 (~v90(constB33, 1)),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5708, 5700])).
% 27.35/17.95 tff(5710,plain,
% 27.35/17.95 (v90(constB32, 2)),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[4414, 4272])).
% 27.35/17.95 tff(5711,plain,
% 27.35/17.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB32, 2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB32, 2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 2))),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5712,plain,
% 27.35/17.95 (((~nextState(constB32, constB33)) | (~v90(constB32, 2)) | v100(constB33) | v90(constB33, 2)) <=> ((~v90(constB32, 2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 2))),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5713,plain,
% 27.35/17.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, 2)) | v100(constB33) | v90(constB33, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB32, 2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 2)))),
% 27.35/17.95 inference(monotonicity,[status(thm)],[5712])).
% 27.35/17.95 tff(5714,plain,
% 27.35/17.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, 2)) | v100(constB33) | v90(constB33, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB32, 2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 2))),
% 27.35/17.95 inference(transitivity,[status(thm)],[5713, 5711])).
% 27.35/17.95 tff(5715,plain,
% 27.35/17.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, 2)) | v100(constB33) | v90(constB33, 2))),
% 27.35/17.95 inference(quant_inst,[status(thm)],[])).
% 27.35/17.95 tff(5716,plain,
% 27.35/17.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB32, 2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 2)),
% 27.35/17.95 inference(modus_ponens,[status(thm)],[5715, 5714])).
% 27.35/17.95 tff(5717,plain,
% 27.35/17.95 ((~v90(constB32, 2)) | v100(constB33) | v90(constB33, 2)),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5716, 1546, 5654])).
% 27.35/17.95 tff(5718,plain,
% 27.35/17.95 ((~v90(constB32, 2)) | v90(constB33, 2)),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5717, 5666])).
% 27.35/17.95 tff(5719,plain,
% 27.35/17.95 (v90(constB33, 2)),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5718, 5710])).
% 27.35/17.95 tff(5720,plain,
% 27.35/17.95 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB33, 0) | v90(constB33, 1) | (~v90(constB33, 2)) | v123(constB33))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB33, 0) | v90(constB33, 1) | (~v90(constB33, 2)) | v123(constB33))),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5721,plain,
% 27.35/17.95 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB33, 0) | v90(constB33, 1) | (~v90(constB33, 2)) | v123(constB33))),
% 27.35/17.95 inference(quant_inst,[status(thm)],[])).
% 27.35/17.95 tff(5722,plain,
% 27.35/17.95 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB33, 0) | v90(constB33, 1) | (~v90(constB33, 2)) | v123(constB33)),
% 27.35/17.95 inference(modus_ponens,[status(thm)],[5721, 5720])).
% 27.35/17.95 tff(5723,plain,
% 27.35/17.95 (v90(constB33, 0) | v90(constB33, 1) | v123(constB33)),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5722, 1565, 5719])).
% 27.35/17.95 tff(5724,plain,
% 27.35/17.95 (v123(constB33)),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5723, 5709, 5675])).
% 27.35/17.95 tff(5725,plain,
% 27.35/17.95 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB33)) | v115(constB33))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB33)) | v115(constB33))),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5726,plain,
% 27.35/17.95 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB33)) | v115(constB33))),
% 27.35/17.95 inference(quant_inst,[status(thm)],[])).
% 27.35/17.95 tff(5727,plain,
% 27.35/17.95 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB33)) | v115(constB33)),
% 27.35/17.95 inference(modus_ponens,[status(thm)],[5726, 5725])).
% 27.35/17.95 tff(5728,plain,
% 27.35/17.95 (v115(constB33)),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5727, 1579, 5724])).
% 27.35/17.95 tff(5729,plain,
% 27.35/17.95 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB33) | (~v115(constB33)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB33) | (~v115(constB33)))),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5730,plain,
% 27.35/17.95 (((~v115(constB33)) | v114(constB33)) <=> (v114(constB33) | (~v115(constB33)))),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5731,plain,
% 27.35/17.95 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB33)) | v114(constB33))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB33) | (~v115(constB33))))),
% 27.35/17.95 inference(monotonicity,[status(thm)],[5730])).
% 27.35/17.95 tff(5732,plain,
% 27.35/17.95 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB33)) | v114(constB33))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB33) | (~v115(constB33)))),
% 27.35/17.95 inference(transitivity,[status(thm)],[5731, 5729])).
% 27.35/17.95 tff(5733,plain,
% 27.35/17.95 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB33)) | v114(constB33))),
% 27.35/17.95 inference(quant_inst,[status(thm)],[])).
% 27.35/17.95 tff(5734,plain,
% 27.35/17.95 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB33) | (~v115(constB33))),
% 27.35/17.95 inference(modus_ponens,[status(thm)],[5733, 5732])).
% 27.35/17.95 tff(5735,plain,
% 27.35/17.95 (v114(constB33)),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5734, 300, 5728])).
% 27.35/17.95 tff(5736,plain,
% 27.35/17.95 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB33) | (~v114(constB33)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB33) | (~v114(constB33)))),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5737,plain,
% 27.35/17.95 (((~v114(constB33)) | v113(constB33)) <=> (v113(constB33) | (~v114(constB33)))),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5738,plain,
% 27.35/17.95 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB33)) | v113(constB33))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB33) | (~v114(constB33))))),
% 27.35/17.95 inference(monotonicity,[status(thm)],[5737])).
% 27.35/17.95 tff(5739,plain,
% 27.35/17.95 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB33)) | v113(constB33))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB33) | (~v114(constB33)))),
% 27.35/17.95 inference(transitivity,[status(thm)],[5738, 5736])).
% 27.35/17.95 tff(5740,plain,
% 27.35/17.95 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB33)) | v113(constB33))),
% 27.35/17.95 inference(quant_inst,[status(thm)],[])).
% 27.35/17.95 tff(5741,plain,
% 27.35/17.95 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB33) | (~v114(constB33))),
% 27.35/17.95 inference(modus_ponens,[status(thm)],[5740, 5739])).
% 27.35/17.95 tff(5742,plain,
% 27.35/17.95 (v113(constB33)),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5741, 314, 5735])).
% 27.35/17.95 tff(5743,assumption,(v26(constB33)), introduced(assumption)).
% 27.35/17.95 tff(5744,plain,
% 27.35/17.95 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB33))),
% 27.35/17.95 inference(quant_inst,[status(thm)],[])).
% 27.35/17.95 tff(5745,plain,
% 27.35/17.95 ($false),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5744, 95, 5743])).
% 27.35/17.95 tff(5746,plain,(~v26(constB33)), inference(lemma,lemma(discharge,[]))).
% 27.35/17.95 tff(5747,plain,
% 27.35/17.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | (~v113(constB33)) | v112(constB33))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB33) | (~v113(constB33)) | v112(constB33))),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5748,plain,
% 27.35/17.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | (~v113(constB33)) | v112(constB33))),
% 27.35/17.95 inference(quant_inst,[status(thm)],[])).
% 27.35/17.95 tff(5749,plain,
% 27.35/17.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB33) | (~v113(constB33)) | v112(constB33)),
% 27.35/17.95 inference(modus_ponens,[status(thm)],[5748, 5747])).
% 27.35/17.95 tff(5750,plain,
% 27.35/17.95 ((~v113(constB33)) | v112(constB33)),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5749, 328, 5746])).
% 27.35/17.95 tff(5751,plain,
% 27.35/17.95 (v112(constB33)),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5750, 5742])).
% 27.35/17.95 tff(5752,plain,
% 27.35/17.95 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB33) | (~v112(constB33)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v112(constB33)))),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5753,plain,
% 27.35/17.95 (((~v112(constB33)) | v108(constB33)) <=> (v108(constB33) | (~v112(constB33)))),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5754,plain,
% 27.35/17.95 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB33)) | v108(constB33))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB33) | (~v112(constB33))))),
% 27.35/17.95 inference(monotonicity,[status(thm)],[5753])).
% 27.35/17.95 tff(5755,plain,
% 27.35/17.95 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB33)) | v108(constB33))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v112(constB33)))),
% 27.35/17.95 inference(transitivity,[status(thm)],[5754, 5752])).
% 27.35/17.95 tff(5756,plain,
% 27.35/17.95 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB33)) | v108(constB33))),
% 27.35/17.95 inference(quant_inst,[status(thm)],[])).
% 27.35/17.95 tff(5757,plain,
% 27.35/17.95 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v112(constB33))),
% 27.35/17.95 inference(modus_ponens,[status(thm)],[5756, 5755])).
% 27.35/17.95 tff(5758,plain,
% 27.35/17.95 (v108(constB33)),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5757, 340, 5751])).
% 27.35/17.95 tff(5759,plain,
% 27.35/17.95 (nextState(constB33, constB34) <=> nextState(constB33, constB34)),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5760,axiom,(nextState(constB33, constB34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_33_1')).
% 27.35/17.95 tff(5761,plain,
% 27.35/17.95 (nextState(constB33, constB34)),
% 27.35/17.95 inference(modus_ponens,[status(thm)],[5760, 5759])).
% 27.35/17.95 tff(5762,plain,
% 27.35/17.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5763,plain,
% 27.35/17.95 (((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34)) <=> ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5764,plain,
% 27.35/17.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33))))),
% 27.35/17.95 inference(monotonicity,[status(thm)],[5763])).
% 27.35/17.95 tff(5765,plain,
% 27.35/17.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 27.35/17.95 inference(transitivity,[status(thm)],[5764, 5762])).
% 27.35/17.95 tff(5766,plain,
% 27.35/17.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))),
% 27.35/17.95 inference(quant_inst,[status(thm)],[])).
% 27.35/17.95 tff(5767,plain,
% 27.35/17.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33))),
% 27.35/17.95 inference(modus_ponens,[status(thm)],[5766, 5765])).
% 27.35/17.95 tff(5768,plain,
% 27.35/17.95 (v110(constB34) | (~v108(constB33))),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5767, 360, 5761])).
% 27.35/17.95 tff(5769,plain,
% 27.35/17.95 (v110(constB34)),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5768, 5758])).
% 27.35/17.95 tff(5770,plain,
% 27.35/17.95 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5771,plain,
% 27.35/17.95 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))),
% 27.35/17.95 inference(quant_inst,[status(thm)],[])).
% 27.35/17.95 tff(5772,plain,
% 27.35/17.95 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34))),
% 27.35/17.95 inference(modus_ponens,[status(thm)],[5771, 5770])).
% 27.35/17.95 tff(5773,plain,
% 27.35/17.95 (~v104(constB34)),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5772, 378, 5761, 5651])).
% 27.35/17.95 tff(5774,plain,
% 27.35/17.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5775,plain,
% 27.35/17.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))),
% 27.35/17.95 inference(quant_inst,[status(thm)],[])).
% 27.35/17.95 tff(5776,plain,
% 27.35/17.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB33, constB34)) | v102(constB34) | v104(constB34)),
% 27.35/17.95 inference(modus_ponens,[status(thm)],[5775, 5774])).
% 27.35/17.95 tff(5777,plain,
% 27.35/17.95 (v102(constB34) | v104(constB34)),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5776, 392, 5761])).
% 27.35/17.95 tff(5778,plain,
% 27.35/17.95 (v102(constB34)),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5777, 5773])).
% 27.35/17.95 tff(5779,plain,
% 27.35/17.95 (v1(constB34) <=> v1(constB34)),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5780,axiom,(v1(constB34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_34_1')).
% 27.35/17.95 tff(5781,plain,
% 27.35/17.95 (v1(constB34)),
% 27.35/17.95 inference(modus_ponens,[status(thm)],[5780, 5779])).
% 27.35/17.95 tff(5782,plain,
% 27.35/17.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5783,plain,
% 27.35/17.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))),
% 27.35/17.95 inference(quant_inst,[status(thm)],[])).
% 27.35/17.95 tff(5784,plain,
% 27.35/17.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34))),
% 27.35/17.95 inference(modus_ponens,[status(thm)],[5783, 5782])).
% 27.35/17.95 tff(5785,plain,
% 27.35/17.95 (v101(constB34) | (~v102(constB34))),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5784, 410, 5761, 5781])).
% 27.35/17.95 tff(5786,plain,
% 27.35/17.95 (v101(constB34)),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5785, 5778])).
% 27.35/17.95 tff(5787,plain,
% 27.35/17.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5788,plain,
% 27.35/17.95 (((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34)) <=> ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5789,plain,
% 27.35/17.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34))))),
% 27.35/17.95 inference(monotonicity,[status(thm)],[5788])).
% 27.35/17.95 tff(5790,plain,
% 27.35/17.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 27.35/17.95 inference(transitivity,[status(thm)],[5789, 5787])).
% 27.35/17.95 tff(5791,plain,
% 27.35/17.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))),
% 27.35/17.95 inference(quant_inst,[status(thm)],[])).
% 27.35/17.95 tff(5792,plain,
% 27.35/17.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34))),
% 27.35/17.95 inference(modus_ponens,[status(thm)],[5791, 5790])).
% 27.35/17.95 tff(5793,plain,
% 27.35/17.95 (v100(constB34) | (~v101(constB34)) | (~v110(constB34))),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5792, 425, 5761])).
% 27.35/17.95 tff(5794,plain,
% 27.35/17.95 (v100(constB34) | (~v110(constB34))),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5793, 5786])).
% 27.35/17.95 tff(5795,plain,
% 27.35/17.95 (v100(constB34)),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5794, 5769])).
% 27.35/17.95 tff(5796,plain,
% 27.35/17.95 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB33)) | v130(constB33, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB33)) | v130(constB33, 2))),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5797,plain,
% 27.35/17.95 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB33)) | v130(constB33, 2))),
% 27.35/17.95 inference(quant_inst,[status(thm)],[])).
% 27.35/17.95 tff(5798,plain,
% 27.35/17.95 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB33)) | v130(constB33, 2)),
% 27.35/17.95 inference(modus_ponens,[status(thm)],[5797, 5796])).
% 27.35/17.95 tff(5799,plain,
% 27.35/17.95 (v130(constB33, 2)),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5798, 1656, 5724])).
% 27.35/17.95 tff(5800,plain,
% 27.35/17.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB33) | (~v130(constB33, 2)) | v127(constB33, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB33) | (~v130(constB33, 2)) | v127(constB33, 2))),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5801,plain,
% 27.35/17.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB33) | (~v130(constB33, 2)) | v127(constB33, 2))),
% 27.35/17.95 inference(quant_inst,[status(thm)],[])).
% 27.35/17.95 tff(5802,plain,
% 27.35/17.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB33) | (~v130(constB33, 2)) | v127(constB33, 2)),
% 27.35/17.95 inference(modus_ponens,[status(thm)],[5801, 5800])).
% 27.35/17.95 tff(5803,plain,
% 27.35/17.95 ((~v130(constB33, 2)) | v127(constB33, 2)),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5802, 1498, 5746])).
% 27.35/17.95 tff(5804,plain,
% 27.35/17.95 (v127(constB33, 2)),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5803, 5799])).
% 27.35/17.95 tff(5805,plain,
% 27.35/17.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB33, constB34)) | (~v127(constB33, 2)) | v129(constB34, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB33, constB34)) | (~v127(constB33, 2)) | v129(constB34, 2))),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5806,plain,
% 27.35/17.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB33, constB34)) | (~v127(constB33, 2)) | v129(constB34, 2))),
% 27.35/17.95 inference(quant_inst,[status(thm)],[])).
% 27.35/17.95 tff(5807,plain,
% 27.35/17.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB33, constB34)) | (~v127(constB33, 2)) | v129(constB34, 2)),
% 27.35/17.95 inference(modus_ponens,[status(thm)],[5806, 5805])).
% 27.35/17.95 tff(5808,plain,
% 27.35/17.95 ((~v127(constB33, 2)) | v129(constB34, 2)),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5807, 1513, 5761])).
% 27.35/17.95 tff(5809,plain,
% 27.35/17.95 (v129(constB34, 2)),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5808, 5804])).
% 27.35/17.95 tff(5810,plain,
% 27.35/17.95 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB34, 2) | (~v129(constB34, 2)) | (~v100(constB34)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB34, 2) | (~v129(constB34, 2)) | (~v100(constB34)))),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5811,plain,
% 27.35/17.95 ((v90(constB34, 2) | (~v100(constB34)) | (~v129(constB34, 2))) <=> (v90(constB34, 2) | (~v129(constB34, 2)) | (~v100(constB34)))),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5812,plain,
% 27.35/17.95 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB34, 2) | (~v100(constB34)) | (~v129(constB34, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB34, 2) | (~v129(constB34, 2)) | (~v100(constB34))))),
% 27.35/17.95 inference(monotonicity,[status(thm)],[5811])).
% 27.35/17.95 tff(5813,plain,
% 27.35/17.95 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB34, 2) | (~v100(constB34)) | (~v129(constB34, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB34, 2) | (~v129(constB34, 2)) | (~v100(constB34)))),
% 27.35/17.95 inference(transitivity,[status(thm)],[5812, 5810])).
% 27.35/17.95 tff(5814,plain,
% 27.35/17.95 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB34, 2) | (~v100(constB34)) | (~v129(constB34, 2)))),
% 27.35/17.95 inference(quant_inst,[status(thm)],[])).
% 27.35/17.95 tff(5815,plain,
% 27.35/17.95 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB34, 2) | (~v129(constB34, 2)) | (~v100(constB34))),
% 27.35/17.95 inference(modus_ponens,[status(thm)],[5814, 5813])).
% 27.35/17.95 tff(5816,plain,
% 27.35/17.95 (v90(constB34, 2) | (~v100(constB34))),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5815, 1528, 5809])).
% 27.35/17.95 tff(5817,plain,
% 27.35/17.95 (v90(constB34, 2)),
% 27.35/17.95 inference(unit_resolution,[status(thm)],[5816, 5795])).
% 27.35/17.95 tff(5818,plain,
% 27.35/17.95 ((~v1(constB35)) <=> (~v1(constB35))),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5819,axiom,(~v1(constB35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_35_1_1')).
% 27.35/17.95 tff(5820,plain,
% 27.35/17.95 (~v1(constB35)),
% 27.35/17.95 inference(modus_ponens,[status(thm)],[5819, 5818])).
% 27.35/17.95 tff(5821,plain,
% 27.35/17.95 (nextState(constB34, constB35) <=> nextState(constB34, constB35)),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5822,axiom,(nextState(constB34, constB35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_34_1')).
% 27.35/17.95 tff(5823,plain,
% 27.35/17.95 (nextState(constB34, constB35)),
% 27.35/17.95 inference(modus_ponens,[status(thm)],[5822, 5821])).
% 27.35/17.95 tff(5824,plain,
% 27.35/17.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5825,plain,
% 27.35/17.95 (((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35)) <=> (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 27.35/17.95 inference(rewrite,[status(thm)],[])).
% 27.35/17.95 tff(5826,plain,
% 27.35/17.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35))))),
% 27.35/17.95 inference(monotonicity,[status(thm)],[5825])).
% 27.35/17.95 tff(5827,plain,
% 27.35/17.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 27.35/17.95 inference(transitivity,[status(thm)],[5826, 5824])).
% 27.35/17.95 tff(5828,plain,
% 27.35/17.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))),
% 27.35/17.95 inference(quant_inst,[status(thm)],[])).
% 27.35/17.95 tff(5829,plain,
% 27.35/17.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35))),
% 27.44/17.95 inference(modus_ponens,[status(thm)],[5828, 5827])).
% 27.44/17.95 tff(5830,plain,
% 27.44/17.95 (~v101(constB35)),
% 27.44/17.95 inference(unit_resolution,[status(thm)],[5829, 138, 5823, 5820])).
% 27.44/17.95 tff(5831,plain,
% 27.44/17.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))),
% 27.44/17.95 inference(rewrite,[status(thm)],[])).
% 27.44/17.95 tff(5832,plain,
% 27.44/17.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))),
% 27.44/17.95 inference(quant_inst,[status(thm)],[])).
% 27.44/17.95 tff(5833,plain,
% 27.44/17.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35))),
% 27.44/17.95 inference(modus_ponens,[status(thm)],[5832, 5831])).
% 27.44/17.95 tff(5834,plain,
% 27.44/17.95 (v101(constB35) | (~v100(constB35))),
% 27.44/17.95 inference(unit_resolution,[status(thm)],[5833, 155, 5823])).
% 27.44/17.95 tff(5835,plain,
% 27.44/17.95 (~v100(constB35)),
% 27.44/17.95 inference(unit_resolution,[status(thm)],[5834, 5830])).
% 27.44/17.95 tff(5836,plain,
% 27.44/17.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB34, 2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB34, 2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 2))),
% 27.44/17.95 inference(rewrite,[status(thm)],[])).
% 27.44/17.95 tff(5837,plain,
% 27.44/17.95 (((~nextState(constB34, constB35)) | (~v90(constB34, 2)) | v100(constB35) | v90(constB35, 2)) <=> ((~v90(constB34, 2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 2))),
% 27.44/17.95 inference(rewrite,[status(thm)],[])).
% 27.44/17.95 tff(5838,plain,
% 27.44/17.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, 2)) | v100(constB35) | v90(constB35, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB34, 2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 2)))),
% 27.44/17.95 inference(monotonicity,[status(thm)],[5837])).
% 27.44/17.95 tff(5839,plain,
% 27.44/17.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, 2)) | v100(constB35) | v90(constB35, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB34, 2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 2))),
% 27.44/17.95 inference(transitivity,[status(thm)],[5838, 5836])).
% 27.44/17.95 tff(5840,plain,
% 27.44/17.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, 2)) | v100(constB35) | v90(constB35, 2))),
% 27.44/17.95 inference(quant_inst,[status(thm)],[])).
% 27.44/17.95 tff(5841,plain,
% 27.44/17.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB34, 2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 2)),
% 27.44/17.95 inference(modus_ponens,[status(thm)],[5840, 5839])).
% 27.44/17.95 tff(5842,plain,
% 27.44/17.95 ((~v90(constB34, 2)) | v100(constB35) | v90(constB35, 2)),
% 27.44/17.95 inference(unit_resolution,[status(thm)],[5841, 1546, 5823])).
% 27.44/17.95 tff(5843,plain,
% 27.44/17.95 ((~v90(constB34, 2)) | v90(constB35, 2)),
% 27.44/17.95 inference(unit_resolution,[status(thm)],[5842, 5835])).
% 27.44/17.95 tff(5844,plain,
% 27.44/17.95 (v90(constB35, 2)),
% 27.44/17.95 inference(unit_resolution,[status(thm)],[5843, 5817])).
% 27.44/17.95 tff(5845,plain,
% 27.44/17.95 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB33)) | (~v130(constB33, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB33)) | (~v130(constB33, 1)))),
% 27.44/17.95 inference(rewrite,[status(thm)],[])).
% 27.44/17.95 tff(5846,plain,
% 27.44/17.95 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB33)) | (~v130(constB33, 1)))),
% 27.44/17.95 inference(quant_inst,[status(thm)],[])).
% 27.44/17.95 tff(5847,plain,
% 27.44/17.95 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB33)) | (~v130(constB33, 1))),
% 27.44/17.95 inference(modus_ponens,[status(thm)],[5846, 5845])).
% 27.44/17.95 tff(5848,plain,
% 27.44/17.95 (~v130(constB33, 1)),
% 27.44/17.95 inference(unit_resolution,[status(thm)],[5847, 1712, 5724])).
% 27.44/17.95 tff(5849,plain,
% 27.44/17.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB33, 1)) | v26(constB33) | v130(constB33, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB33, 1)) | v26(constB33) | v130(constB33, 1))),
% 27.44/17.95 inference(rewrite,[status(thm)],[])).
% 27.44/17.95 tff(5850,plain,
% 27.44/17.95 ((v26(constB33) | v130(constB33, 1) | (~v127(constB33, 1))) <=> ((~v127(constB33, 1)) | v26(constB33) | v130(constB33, 1))),
% 27.44/17.95 inference(rewrite,[status(thm)],[])).
% 27.44/17.95 tff(5851,plain,
% 27.44/17.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB33) | v130(constB33, 1) | (~v127(constB33, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB33, 1)) | v26(constB33) | v130(constB33, 1)))),
% 27.44/17.95 inference(monotonicity,[status(thm)],[5850])).
% 27.44/17.95 tff(5852,plain,
% 27.44/17.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB33) | v130(constB33, 1) | (~v127(constB33, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB33, 1)) | v26(constB33) | v130(constB33, 1))),
% 27.44/17.95 inference(transitivity,[status(thm)],[5851, 5849])).
% 27.44/17.95 tff(5853,plain,
% 27.44/17.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB33) | v130(constB33, 1) | (~v127(constB33, 1)))),
% 27.44/17.95 inference(quant_inst,[status(thm)],[])).
% 27.44/17.95 tff(5854,plain,
% 27.44/17.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB33, 1)) | v26(constB33) | v130(constB33, 1)),
% 27.44/17.95 inference(modus_ponens,[status(thm)],[5853, 5852])).
% 27.44/17.95 tff(5855,plain,
% 27.44/17.95 ((~v127(constB33, 1)) | v130(constB33, 1)),
% 27.44/17.95 inference(unit_resolution,[status(thm)],[5854, 541, 5746])).
% 27.44/17.95 tff(5856,plain,
% 27.44/17.95 (~v127(constB33, 1)),
% 27.44/17.95 inference(unit_resolution,[status(thm)],[5855, 5848])).
% 27.44/17.95 tff(5857,plain,
% 27.44/17.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB33, constB34)) | v127(constB33, 1) | (~v129(constB34, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB33, constB34)) | v127(constB33, 1) | (~v129(constB34, 1)))),
% 27.44/17.95 inference(rewrite,[status(thm)],[])).
% 27.44/17.95 tff(5858,plain,
% 27.44/17.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB33, constB34)) | v127(constB33, 1) | (~v129(constB34, 1)))),
% 27.44/17.95 inference(quant_inst,[status(thm)],[])).
% 27.44/17.95 tff(5859,plain,
% 27.44/17.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB33, constB34)) | v127(constB33, 1) | (~v129(constB34, 1))),
% 27.44/17.95 inference(modus_ponens,[status(thm)],[5858, 5857])).
% 27.44/17.95 tff(5860,plain,
% 27.44/17.95 (v127(constB33, 1) | (~v129(constB34, 1))),
% 27.44/17.95 inference(unit_resolution,[status(thm)],[5859, 559, 5761])).
% 27.44/17.95 tff(5861,plain,
% 27.44/17.95 (~v129(constB34, 1)),
% 27.44/17.95 inference(unit_resolution,[status(thm)],[5860, 5856])).
% 27.44/17.95 tff(5862,plain,
% 27.44/17.95 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB34, 1)) | v129(constB34, 1) | (~v100(constB34)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB34, 1)) | v129(constB34, 1) | (~v100(constB34)))),
% 27.44/17.95 inference(rewrite,[status(thm)],[])).
% 27.44/17.95 tff(5863,plain,
% 27.44/17.95 (((~v90(constB34, 1)) | (~v100(constB34)) | v129(constB34, 1)) <=> ((~v90(constB34, 1)) | v129(constB34, 1) | (~v100(constB34)))),
% 27.44/17.95 inference(rewrite,[status(thm)],[])).
% 27.44/17.95 tff(5864,plain,
% 27.44/17.95 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB34, 1)) | (~v100(constB34)) | v129(constB34, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB34, 1)) | v129(constB34, 1) | (~v100(constB34))))),
% 27.44/17.95 inference(monotonicity,[status(thm)],[5863])).
% 27.44/17.95 tff(5865,plain,
% 27.44/17.95 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB34, 1)) | (~v100(constB34)) | v129(constB34, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB34, 1)) | v129(constB34, 1) | (~v100(constB34)))),
% 27.44/17.95 inference(transitivity,[status(thm)],[5864, 5862])).
% 27.44/17.95 tff(5866,plain,
% 27.44/17.95 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB34, 1)) | (~v100(constB34)) | v129(constB34, 1))),
% 27.44/17.95 inference(quant_inst,[status(thm)],[])).
% 27.44/17.95 tff(5867,plain,
% 27.44/17.95 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB34, 1)) | v129(constB34, 1) | (~v100(constB34))),
% 27.44/17.95 inference(modus_ponens,[status(thm)],[5866, 5865])).
% 27.44/17.95 tff(5868,plain,
% 27.44/17.95 ((~v90(constB34, 1)) | (~v100(constB34))),
% 27.44/17.95 inference(unit_resolution,[status(thm)],[5867, 574, 5861])).
% 27.44/17.95 tff(5869,plain,
% 27.44/17.95 (~v90(constB34, 1)),
% 27.44/17.95 inference(unit_resolution,[status(thm)],[5868, 5795])).
% 27.44/17.95 tff(5870,plain,
% 27.44/17.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB34, 1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB34, 1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 1)))),
% 27.44/17.95 inference(rewrite,[status(thm)],[])).
% 27.44/17.95 tff(5871,plain,
% 27.44/17.95 (((~nextState(constB34, constB35)) | v90(constB34, 1) | v100(constB35) | (~v90(constB35, 1))) <=> (v90(constB34, 1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 1)))),
% 27.44/17.95 inference(rewrite,[status(thm)],[])).
% 27.44/17.95 tff(5872,plain,
% 27.44/17.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB34, constB35)) | v90(constB34, 1) | v100(constB35) | (~v90(constB35, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB34, 1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 1))))),
% 27.44/17.95 inference(monotonicity,[status(thm)],[5871])).
% 27.44/17.95 tff(5873,plain,
% 27.44/17.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB34, constB35)) | v90(constB34, 1) | v100(constB35) | (~v90(constB35, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB34, 1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 1)))),
% 27.44/17.95 inference(transitivity,[status(thm)],[5872, 5870])).
% 27.44/17.95 tff(5874,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB34, constB35)) | v90(constB34, 1) | v100(constB35) | (~v90(constB35, 1)))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(5875,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB34, 1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 1))),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[5874, 5873])).
% 27.44/17.96 tff(5876,plain,
% 27.44/17.96 (v90(constB34, 1) | v100(constB35) | (~v90(constB35, 1))),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5875, 191, 5823])).
% 27.44/17.96 tff(5877,plain,
% 27.44/17.96 (v90(constB34, 1) | (~v90(constB35, 1))),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5876, 5835])).
% 27.44/17.96 tff(5878,plain,
% 27.44/17.96 (~v90(constB35, 1)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5877, 5869])).
% 27.44/17.96 tff(5879,plain,
% 27.44/17.96 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB33)) | v130(constB33, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB33)) | v130(constB33, 0))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5880,plain,
% 27.44/17.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB33)) | v130(constB33, 0))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(5881,plain,
% 27.44/17.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB33)) | v130(constB33, 0)),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[5880, 5879])).
% 27.44/17.96 tff(5882,plain,
% 27.44/17.96 (v130(constB33, 0)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5881, 1753, 5724])).
% 27.44/17.96 tff(5883,plain,
% 27.44/17.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB33) | (~v130(constB33, 0)) | v127(constB33, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB33) | (~v130(constB33, 0)) | v127(constB33, 0))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5884,plain,
% 27.44/17.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB33) | (~v130(constB33, 0)) | v127(constB33, 0))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(5885,plain,
% 27.44/17.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB33) | (~v130(constB33, 0)) | v127(constB33, 0)),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[5884, 5883])).
% 27.44/17.96 tff(5886,plain,
% 27.44/17.96 ((~v130(constB33, 0)) | v127(constB33, 0)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5885, 612, 5746])).
% 27.44/17.96 tff(5887,plain,
% 27.44/17.96 (v127(constB33, 0)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5886, 5882])).
% 27.44/17.96 tff(5888,plain,
% 27.44/17.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB33, constB34)) | (~v127(constB33, 0)) | v129(constB34, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB33, constB34)) | (~v127(constB33, 0)) | v129(constB34, 0))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5889,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB33, constB34)) | (~v127(constB33, 0)) | v129(constB34, 0))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(5890,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB33, constB34)) | (~v127(constB33, 0)) | v129(constB34, 0)),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[5889, 5888])).
% 27.44/17.96 tff(5891,plain,
% 27.44/17.96 ((~v127(constB33, 0)) | v129(constB34, 0)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5890, 627, 5761])).
% 27.44/17.96 tff(5892,plain,
% 27.44/17.96 (v129(constB34, 0)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5891, 5887])).
% 27.44/17.96 tff(5893,plain,
% 27.44/17.96 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB34, 0) | (~v129(constB34, 0)) | (~v100(constB34)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB34, 0) | (~v129(constB34, 0)) | (~v100(constB34)))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5894,plain,
% 27.44/17.96 ((v90(constB34, 0) | (~v100(constB34)) | (~v129(constB34, 0))) <=> (v90(constB34, 0) | (~v129(constB34, 0)) | (~v100(constB34)))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5895,plain,
% 27.44/17.96 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB34, 0) | (~v100(constB34)) | (~v129(constB34, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB34, 0) | (~v129(constB34, 0)) | (~v100(constB34))))),
% 27.44/17.96 inference(monotonicity,[status(thm)],[5894])).
% 27.44/17.96 tff(5896,plain,
% 27.44/17.96 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB34, 0) | (~v100(constB34)) | (~v129(constB34, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB34, 0) | (~v129(constB34, 0)) | (~v100(constB34)))),
% 27.44/17.96 inference(transitivity,[status(thm)],[5895, 5893])).
% 27.44/17.96 tff(5897,plain,
% 27.44/17.96 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB34, 0) | (~v100(constB34)) | (~v129(constB34, 0)))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(5898,plain,
% 27.44/17.96 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB34, 0) | (~v129(constB34, 0)) | (~v100(constB34))),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[5897, 5896])).
% 27.44/17.96 tff(5899,plain,
% 27.44/17.96 (v90(constB34, 0) | (~v100(constB34))),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5898, 642, 5892])).
% 27.44/17.96 tff(5900,plain,
% 27.44/17.96 (v90(constB34, 0)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5899, 5795])).
% 27.44/17.96 tff(5901,plain,
% 27.44/17.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB34, 0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB34, 0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 0))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5902,plain,
% 27.44/17.96 (((~nextState(constB34, constB35)) | (~v90(constB34, 0)) | v100(constB35) | v90(constB35, 0)) <=> ((~v90(constB34, 0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 0))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5903,plain,
% 27.44/17.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB34, constB35)) | (~v90(constB34, 0)) | v100(constB35) | v90(constB35, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB34, 0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 0)))),
% 27.44/17.96 inference(monotonicity,[status(thm)],[5902])).
% 27.44/17.96 tff(5904,plain,
% 27.44/17.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB34, constB35)) | (~v90(constB34, 0)) | v100(constB35) | v90(constB35, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB34, 0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 0))),
% 27.44/17.96 inference(transitivity,[status(thm)],[5903, 5901])).
% 27.44/17.96 tff(5905,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB34, constB35)) | (~v90(constB34, 0)) | v100(constB35) | v90(constB35, 0))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(5906,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB34, 0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 0)),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[5905, 5904])).
% 27.44/17.96 tff(5907,plain,
% 27.44/17.96 ((~v90(constB34, 0)) | v100(constB35) | v90(constB35, 0)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5906, 660, 5823])).
% 27.44/17.96 tff(5908,plain,
% 27.44/17.96 ((~v90(constB34, 0)) | v90(constB35, 0)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5907, 5835])).
% 27.44/17.96 tff(5909,plain,
% 27.44/17.96 (v90(constB35, 0)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5908, 5900])).
% 27.44/17.96 tff(5910,plain,
% 27.44/17.96 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB35, 0)) | v90(constB35, 1) | (~v90(constB35, 2)) | v124(constB35))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB35, 0)) | v90(constB35, 1) | (~v90(constB35, 2)) | v124(constB35))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5911,plain,
% 27.44/17.96 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB35, 0)) | v90(constB35, 1) | (~v90(constB35, 2)) | v124(constB35))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(5912,plain,
% 27.44/17.96 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB35, 0)) | v90(constB35, 1) | (~v90(constB35, 2)) | v124(constB35)),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[5911, 5910])).
% 27.44/17.96 tff(5913,plain,
% 27.44/17.96 (v124(constB35)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5912, 1794, 5909, 5878, 5844])).
% 27.44/17.96 tff(5914,plain,
% 27.44/17.96 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB35)) | v114(constB35))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB35)) | v114(constB35))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5915,plain,
% 27.44/17.96 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB35)) | v114(constB35))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(5916,plain,
% 27.44/17.96 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB35)) | v114(constB35)),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[5915, 5914])).
% 27.44/17.96 tff(5917,plain,
% 27.44/17.96 (v114(constB35)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5916, 1805, 5913])).
% 27.44/17.96 tff(5918,plain,
% 27.44/17.96 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB35) | (~v114(constB35)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB35) | (~v114(constB35)))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5919,plain,
% 27.44/17.96 (((~v114(constB35)) | v113(constB35)) <=> (v113(constB35) | (~v114(constB35)))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5920,plain,
% 27.44/17.96 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB35)) | v113(constB35))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB35) | (~v114(constB35))))),
% 27.44/17.96 inference(monotonicity,[status(thm)],[5919])).
% 27.44/17.96 tff(5921,plain,
% 27.44/17.96 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB35)) | v113(constB35))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB35) | (~v114(constB35)))),
% 27.44/17.96 inference(transitivity,[status(thm)],[5920, 5918])).
% 27.44/17.96 tff(5922,plain,
% 27.44/17.96 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB35)) | v113(constB35))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(5923,plain,
% 27.44/17.96 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB35) | (~v114(constB35))),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[5922, 5921])).
% 27.44/17.96 tff(5924,plain,
% 27.44/17.96 (v113(constB35)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5923, 314, 5917])).
% 27.44/17.96 tff(5925,assumption,(v26(constB35)), introduced(assumption)).
% 27.44/17.96 tff(5926,plain,
% 27.44/17.96 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB35))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(5927,plain,
% 27.44/17.96 ($false),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5926, 95, 5925])).
% 27.44/17.96 tff(5928,plain,(~v26(constB35)), inference(lemma,lemma(discharge,[]))).
% 27.44/17.96 tff(5929,plain,
% 27.44/17.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | v112(constB35) | (~v113(constB35)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | v112(constB35) | (~v113(constB35)))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5930,plain,
% 27.44/17.96 ((v26(constB35) | (~v113(constB35)) | v112(constB35)) <=> (v26(constB35) | v112(constB35) | (~v113(constB35)))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5931,plain,
% 27.44/17.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | v112(constB35) | (~v113(constB35))))),
% 27.44/17.96 inference(monotonicity,[status(thm)],[5930])).
% 27.44/17.96 tff(5932,plain,
% 27.44/17.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | v112(constB35) | (~v113(constB35)))),
% 27.44/17.96 inference(transitivity,[status(thm)],[5931, 5929])).
% 27.44/17.96 tff(5933,plain,
% 27.44/17.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(5934,plain,
% 27.44/17.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | v112(constB35) | (~v113(constB35))),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[5933, 5932])).
% 27.44/17.96 tff(5935,plain,
% 27.44/17.96 (v112(constB35) | (~v113(constB35))),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5934, 328, 5928])).
% 27.44/17.96 tff(5936,plain,
% 27.44/17.96 (v112(constB35)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5935, 5924])).
% 27.44/17.96 tff(5937,plain,
% 27.44/17.96 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB35) | (~v112(constB35)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB35) | (~v112(constB35)))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5938,plain,
% 27.44/17.96 (((~v112(constB35)) | v108(constB35)) <=> (v108(constB35) | (~v112(constB35)))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5939,plain,
% 27.44/17.96 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB35)) | v108(constB35))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB35) | (~v112(constB35))))),
% 27.44/17.96 inference(monotonicity,[status(thm)],[5938])).
% 27.44/17.96 tff(5940,plain,
% 27.44/17.96 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB35)) | v108(constB35))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB35) | (~v112(constB35)))),
% 27.44/17.96 inference(transitivity,[status(thm)],[5939, 5937])).
% 27.44/17.96 tff(5941,plain,
% 27.44/17.96 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB35)) | v108(constB35))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(5942,plain,
% 27.44/17.96 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB35) | (~v112(constB35))),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[5941, 5940])).
% 27.44/17.96 tff(5943,plain,
% 27.44/17.96 (v108(constB35)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5942, 340, 5936])).
% 27.44/17.96 tff(5944,plain,
% 27.44/17.96 (nextState(constB35, constB36) <=> nextState(constB35, constB36)),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5945,axiom,(nextState(constB35, constB36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_35_1')).
% 27.44/17.96 tff(5946,plain,
% 27.44/17.96 (nextState(constB35, constB36)),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[5945, 5944])).
% 27.44/17.96 tff(5947,plain,
% 27.44/17.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5948,plain,
% 27.44/17.96 (((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36)) <=> ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5949,plain,
% 27.44/17.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35))))),
% 27.44/17.96 inference(monotonicity,[status(thm)],[5948])).
% 27.44/17.96 tff(5950,plain,
% 27.44/17.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 27.44/17.96 inference(transitivity,[status(thm)],[5949, 5947])).
% 27.44/17.96 tff(5951,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(5952,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35))),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[5951, 5950])).
% 27.44/17.96 tff(5953,plain,
% 27.44/17.96 (v110(constB36) | (~v108(constB35))),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5952, 360, 5946])).
% 27.44/17.96 tff(5954,plain,
% 27.44/17.96 (v110(constB36)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5953, 5943])).
% 27.44/17.96 tff(5955,plain,
% 27.44/17.96 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5956,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(5957,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36))),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[5956, 5955])).
% 27.44/17.96 tff(5958,plain,
% 27.44/17.96 (~v104(constB36)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5957, 378, 5946, 5820])).
% 27.44/17.96 tff(5959,plain,
% 27.44/17.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5960,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(5961,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB35, constB36)) | v102(constB36) | v104(constB36)),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[5960, 5959])).
% 27.44/17.96 tff(5962,plain,
% 27.44/17.96 (v102(constB36) | v104(constB36)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5961, 392, 5946])).
% 27.44/17.96 tff(5963,plain,
% 27.44/17.96 (v102(constB36)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5962, 5958])).
% 27.44/17.96 tff(5964,plain,
% 27.44/17.96 (v1(constB36) <=> v1(constB36)),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5965,axiom,(v1(constB36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_36_1')).
% 27.44/17.96 tff(5966,plain,
% 27.44/17.96 (v1(constB36)),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[5965, 5964])).
% 27.44/17.96 tff(5967,plain,
% 27.44/17.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5968,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(5969,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36))),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[5968, 5967])).
% 27.44/17.96 tff(5970,plain,
% 27.44/17.96 (v101(constB36) | (~v102(constB36))),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5969, 410, 5946, 5966])).
% 27.44/17.96 tff(5971,plain,
% 27.44/17.96 (v101(constB36)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5970, 5963])).
% 27.44/17.96 tff(5972,plain,
% 27.44/17.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5973,plain,
% 27.44/17.96 (((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36)) <=> ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5974,plain,
% 27.44/17.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36))))),
% 27.44/17.96 inference(monotonicity,[status(thm)],[5973])).
% 27.44/17.96 tff(5975,plain,
% 27.44/17.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 27.44/17.96 inference(transitivity,[status(thm)],[5974, 5972])).
% 27.44/17.96 tff(5976,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(5977,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36))),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[5976, 5975])).
% 27.44/17.96 tff(5978,plain,
% 27.44/17.96 (v100(constB36) | (~v101(constB36)) | (~v110(constB36))),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5977, 425, 5946])).
% 27.44/17.96 tff(5979,plain,
% 27.44/17.96 (v100(constB36) | (~v110(constB36))),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5978, 5971])).
% 27.44/17.96 tff(5980,plain,
% 27.44/17.96 (v100(constB36)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5979, 5954])).
% 27.44/17.96 tff(5981,plain,
% 27.44/17.96 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB35)) | v130(constB35, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB35)) | v130(constB35, 2))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5982,plain,
% 27.44/17.96 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB35)) | v130(constB35, 2))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(5983,plain,
% 27.44/17.96 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB35)) | v130(constB35, 2)),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[5982, 5981])).
% 27.44/17.96 tff(5984,plain,
% 27.44/17.96 (v130(constB35, 2)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5983, 1873, 5913])).
% 27.44/17.96 tff(5985,plain,
% 27.44/17.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB35) | (~v130(constB35, 2)) | v127(constB35, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB35) | (~v130(constB35, 2)) | v127(constB35, 2))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5986,plain,
% 27.44/17.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB35) | (~v130(constB35, 2)) | v127(constB35, 2))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(5987,plain,
% 27.44/17.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB35) | (~v130(constB35, 2)) | v127(constB35, 2)),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[5986, 5985])).
% 27.44/17.96 tff(5988,plain,
% 27.44/17.96 ((~v130(constB35, 2)) | v127(constB35, 2)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5987, 1498, 5928])).
% 27.44/17.96 tff(5989,plain,
% 27.44/17.96 (v127(constB35, 2)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5988, 5984])).
% 27.44/17.96 tff(5990,plain,
% 27.44/17.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB35, constB36)) | (~v127(constB35, 2)) | v129(constB36, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB35, constB36)) | (~v127(constB35, 2)) | v129(constB36, 2))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5991,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB35, constB36)) | (~v127(constB35, 2)) | v129(constB36, 2))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(5992,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB35, constB36)) | (~v127(constB35, 2)) | v129(constB36, 2)),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[5991, 5990])).
% 27.44/17.96 tff(5993,plain,
% 27.44/17.96 ((~v127(constB35, 2)) | v129(constB36, 2)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5992, 1513, 5946])).
% 27.44/17.96 tff(5994,plain,
% 27.44/17.96 (v129(constB36, 2)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[5993, 5989])).
% 27.44/17.96 tff(5995,plain,
% 27.44/17.96 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB36, 2) | (~v129(constB36, 2)) | (~v100(constB36)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB36, 2) | (~v129(constB36, 2)) | (~v100(constB36)))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5996,plain,
% 27.44/17.96 ((v90(constB36, 2) | (~v100(constB36)) | (~v129(constB36, 2))) <=> (v90(constB36, 2) | (~v129(constB36, 2)) | (~v100(constB36)))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(5997,plain,
% 27.44/17.96 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB36, 2) | (~v100(constB36)) | (~v129(constB36, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB36, 2) | (~v129(constB36, 2)) | (~v100(constB36))))),
% 27.44/17.96 inference(monotonicity,[status(thm)],[5996])).
% 27.44/17.96 tff(5998,plain,
% 27.44/17.96 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB36, 2) | (~v100(constB36)) | (~v129(constB36, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB36, 2) | (~v129(constB36, 2)) | (~v100(constB36)))),
% 27.44/17.96 inference(transitivity,[status(thm)],[5997, 5995])).
% 27.44/17.96 tff(5999,plain,
% 27.44/17.96 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB36, 2) | (~v100(constB36)) | (~v129(constB36, 2)))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(6000,plain,
% 27.44/17.96 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB36, 2) | (~v129(constB36, 2)) | (~v100(constB36))),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[5999, 5998])).
% 27.44/17.96 tff(6001,plain,
% 27.44/17.96 (v90(constB36, 2) | (~v100(constB36))),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[6000, 1528, 5994])).
% 27.44/17.96 tff(6002,plain,
% 27.44/17.96 (v90(constB36, 2)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[6001, 5980])).
% 27.44/17.96 tff(6003,plain,
% 27.44/17.96 ((~v1(constB37)) <=> (~v1(constB37))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(6004,axiom,(~v1(constB37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_37_1_1')).
% 27.44/17.96 tff(6005,plain,
% 27.44/17.96 (~v1(constB37)),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[6004, 6003])).
% 27.44/17.96 tff(6006,plain,
% 27.44/17.96 (nextState(constB36, constB37) <=> nextState(constB36, constB37)),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(6007,axiom,(nextState(constB36, constB37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_36_1')).
% 27.44/17.96 tff(6008,plain,
% 27.44/17.96 (nextState(constB36, constB37)),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[6007, 6006])).
% 27.44/17.96 tff(6009,plain,
% 27.44/17.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(6010,plain,
% 27.44/17.96 (((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37)) <=> (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(6011,plain,
% 27.44/17.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37))))),
% 27.44/17.96 inference(monotonicity,[status(thm)],[6010])).
% 27.44/17.96 tff(6012,plain,
% 27.44/17.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 27.44/17.96 inference(transitivity,[status(thm)],[6011, 6009])).
% 27.44/17.96 tff(6013,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(6014,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37))),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[6013, 6012])).
% 27.44/17.96 tff(6015,plain,
% 27.44/17.96 (~v101(constB37)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[6014, 138, 6008, 6005])).
% 27.44/17.96 tff(6016,plain,
% 27.44/17.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(6017,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(6018,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37))),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[6017, 6016])).
% 27.44/17.96 tff(6019,plain,
% 27.44/17.96 (v101(constB37) | (~v100(constB37))),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[6018, 155, 6008])).
% 27.44/17.96 tff(6020,plain,
% 27.44/17.96 (~v100(constB37)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[6019, 6015])).
% 27.44/17.96 tff(6021,plain,
% 27.44/17.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB36, 2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB36, 2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 2))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(6022,plain,
% 27.44/17.96 (((~nextState(constB36, constB37)) | (~v90(constB36, 2)) | v100(constB37) | v90(constB37, 2)) <=> ((~v90(constB36, 2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 2))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(6023,plain,
% 27.44/17.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB36, constB37)) | (~v90(constB36, 2)) | v100(constB37) | v90(constB37, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB36, 2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 2)))),
% 27.44/17.96 inference(monotonicity,[status(thm)],[6022])).
% 27.44/17.96 tff(6024,plain,
% 27.44/17.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB36, constB37)) | (~v90(constB36, 2)) | v100(constB37) | v90(constB37, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB36, 2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 2))),
% 27.44/17.96 inference(transitivity,[status(thm)],[6023, 6021])).
% 27.44/17.96 tff(6025,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB36, constB37)) | (~v90(constB36, 2)) | v100(constB37) | v90(constB37, 2))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(6026,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB36, 2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 2)),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[6025, 6024])).
% 27.44/17.96 tff(6027,plain,
% 27.44/17.96 ((~v90(constB36, 2)) | v100(constB37) | v90(constB37, 2)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[6026, 1546, 6008])).
% 27.44/17.96 tff(6028,plain,
% 27.44/17.96 ((~v90(constB36, 2)) | v90(constB37, 2)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[6027, 6020])).
% 27.44/17.96 tff(6029,plain,
% 27.44/17.96 (v90(constB37, 2)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[6028, 6002])).
% 27.44/17.96 tff(6030,plain,
% 27.44/17.96 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB35)) | v130(constB35, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB35)) | v130(constB35, 1))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(6031,plain,
% 27.44/17.96 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB35)) | v130(constB35, 1))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(6032,plain,
% 27.44/17.96 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB35)) | v130(constB35, 1)),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[6031, 6030])).
% 27.44/17.96 tff(6033,plain,
% 27.44/17.96 (v130(constB35, 1)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[6032, 1929, 5913])).
% 27.44/17.96 tff(6034,plain,
% 27.44/17.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB35) | (~v130(constB35, 1)) | v127(constB35, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB35) | (~v130(constB35, 1)) | v127(constB35, 1))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(6035,plain,
% 27.44/17.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB35) | (~v130(constB35, 1)) | v127(constB35, 1))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(6036,plain,
% 27.44/17.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB35) | (~v130(constB35, 1)) | v127(constB35, 1)),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[6035, 6034])).
% 27.44/17.96 tff(6037,plain,
% 27.44/17.96 ((~v130(constB35, 1)) | v127(constB35, 1)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[6036, 855, 5928])).
% 27.44/17.96 tff(6038,plain,
% 27.44/17.96 (v127(constB35, 1)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[6037, 6033])).
% 27.44/17.96 tff(6039,plain,
% 27.44/17.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB35, constB36)) | (~v127(constB35, 1)) | v129(constB36, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB35, constB36)) | (~v127(constB35, 1)) | v129(constB36, 1))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(6040,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB35, constB36)) | (~v127(constB35, 1)) | v129(constB36, 1))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(6041,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB35, constB36)) | (~v127(constB35, 1)) | v129(constB36, 1)),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[6040, 6039])).
% 27.44/17.96 tff(6042,plain,
% 27.44/17.96 ((~v127(constB35, 1)) | v129(constB36, 1)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[6041, 870, 5946])).
% 27.44/17.96 tff(6043,plain,
% 27.44/17.96 (v129(constB36, 1)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[6042, 6038])).
% 27.44/17.96 tff(6044,plain,
% 27.44/17.96 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB36, 1) | (~v129(constB36, 1)) | (~v100(constB36)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB36, 1) | (~v129(constB36, 1)) | (~v100(constB36)))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(6045,plain,
% 27.44/17.96 ((v90(constB36, 1) | (~v100(constB36)) | (~v129(constB36, 1))) <=> (v90(constB36, 1) | (~v129(constB36, 1)) | (~v100(constB36)))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(6046,plain,
% 27.44/17.96 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB36, 1) | (~v100(constB36)) | (~v129(constB36, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB36, 1) | (~v129(constB36, 1)) | (~v100(constB36))))),
% 27.44/17.96 inference(monotonicity,[status(thm)],[6045])).
% 27.44/17.96 tff(6047,plain,
% 27.44/17.96 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB36, 1) | (~v100(constB36)) | (~v129(constB36, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB36, 1) | (~v129(constB36, 1)) | (~v100(constB36)))),
% 27.44/17.96 inference(transitivity,[status(thm)],[6046, 6044])).
% 27.44/17.96 tff(6048,plain,
% 27.44/17.96 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB36, 1) | (~v100(constB36)) | (~v129(constB36, 1)))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(6049,plain,
% 27.44/17.96 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB36, 1) | (~v129(constB36, 1)) | (~v100(constB36))),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[6048, 6047])).
% 27.44/17.96 tff(6050,plain,
% 27.44/17.96 (v90(constB36, 1) | (~v100(constB36))),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[6049, 885, 6043])).
% 27.44/17.96 tff(6051,plain,
% 27.44/17.96 (v90(constB36, 1)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[6050, 5980])).
% 27.44/17.96 tff(6052,plain,
% 27.44/17.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB36, 1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB36, 1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 1))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(6053,plain,
% 27.44/17.96 (((~nextState(constB36, constB37)) | (~v90(constB36, 1)) | v100(constB37) | v90(constB37, 1)) <=> ((~v90(constB36, 1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 1))),
% 27.44/17.96 inference(rewrite,[status(thm)],[])).
% 27.44/17.96 tff(6054,plain,
% 27.44/17.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB36, constB37)) | (~v90(constB36, 1)) | v100(constB37) | v90(constB37, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB36, 1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 1)))),
% 27.44/17.96 inference(monotonicity,[status(thm)],[6053])).
% 27.44/17.96 tff(6055,plain,
% 27.44/17.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB36, constB37)) | (~v90(constB36, 1)) | v100(constB37) | v90(constB37, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB36, 1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 1))),
% 27.44/17.96 inference(transitivity,[status(thm)],[6054, 6052])).
% 27.44/17.96 tff(6056,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB36, constB37)) | (~v90(constB36, 1)) | v100(constB37) | v90(constB37, 1))),
% 27.44/17.96 inference(quant_inst,[status(thm)],[])).
% 27.44/17.96 tff(6057,plain,
% 27.44/17.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB36, 1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 1)),
% 27.44/17.96 inference(modus_ponens,[status(thm)],[6056, 6055])).
% 27.44/17.96 tff(6058,plain,
% 27.44/17.96 ((~v90(constB36, 1)) | v100(constB37) | v90(constB37, 1)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[6057, 903, 6008])).
% 27.44/17.96 tff(6059,plain,
% 27.44/17.96 ((~v90(constB36, 1)) | v90(constB37, 1)),
% 27.44/17.96 inference(unit_resolution,[status(thm)],[6058, 6020])).
% 27.44/17.96 tff(6060,plain,
% 27.44/17.97 (v90(constB37, 1)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6059, 6051])).
% 27.44/17.97 tff(6061,plain,
% 27.44/17.97 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB35)) | (~v130(constB35, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB35)) | (~v130(constB35, 0)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6062,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB35)) | (~v130(constB35, 0)))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6063,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB35)) | (~v130(constB35, 0))),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6062, 6061])).
% 27.44/17.97 tff(6064,plain,
% 27.44/17.97 (~v130(constB35, 0)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6063, 1967, 5913])).
% 27.44/17.97 tff(6065,plain,
% 27.44/17.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB35, 0)) | v26(constB35) | v130(constB35, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB35, 0)) | v26(constB35) | v130(constB35, 0))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6066,plain,
% 27.44/17.97 ((v26(constB35) | v130(constB35, 0) | (~v127(constB35, 0))) <=> ((~v127(constB35, 0)) | v26(constB35) | v130(constB35, 0))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6067,plain,
% 27.44/17.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB35) | v130(constB35, 0) | (~v127(constB35, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB35, 0)) | v26(constB35) | v130(constB35, 0)))),
% 27.44/17.97 inference(monotonicity,[status(thm)],[6066])).
% 27.44/17.97 tff(6068,plain,
% 27.44/17.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB35) | v130(constB35, 0) | (~v127(constB35, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB35, 0)) | v26(constB35) | v130(constB35, 0))),
% 27.44/17.97 inference(transitivity,[status(thm)],[6067, 6065])).
% 27.44/17.97 tff(6069,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB35) | v130(constB35, 0) | (~v127(constB35, 0)))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6070,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB35, 0)) | v26(constB35) | v130(constB35, 0)),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6069, 6068])).
% 27.44/17.97 tff(6071,plain,
% 27.44/17.97 ((~v127(constB35, 0)) | v130(constB35, 0)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6070, 933, 5928])).
% 27.44/17.97 tff(6072,plain,
% 27.44/17.97 (~v127(constB35, 0)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6071, 6064])).
% 27.44/17.97 tff(6073,plain,
% 27.44/17.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB35, constB36)) | v127(constB35, 0) | (~v129(constB36, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB35, constB36)) | v127(constB35, 0) | (~v129(constB36, 0)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6074,plain,
% 27.44/17.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB35, constB36)) | v127(constB35, 0) | (~v129(constB36, 0)))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6075,plain,
% 27.44/17.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB35, constB36)) | v127(constB35, 0) | (~v129(constB36, 0))),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6074, 6073])).
% 27.44/17.97 tff(6076,plain,
% 27.44/17.97 (v127(constB35, 0) | (~v129(constB36, 0))),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6075, 951, 5946])).
% 27.44/17.97 tff(6077,plain,
% 27.44/17.97 (~v129(constB36, 0)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6076, 6072])).
% 27.44/17.97 tff(6078,plain,
% 27.44/17.97 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB36, 0)) | v129(constB36, 0) | (~v100(constB36)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB36, 0)) | v129(constB36, 0) | (~v100(constB36)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6079,plain,
% 27.44/17.97 (((~v90(constB36, 0)) | (~v100(constB36)) | v129(constB36, 0)) <=> ((~v90(constB36, 0)) | v129(constB36, 0) | (~v100(constB36)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6080,plain,
% 27.44/17.97 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB36, 0)) | (~v100(constB36)) | v129(constB36, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB36, 0)) | v129(constB36, 0) | (~v100(constB36))))),
% 27.44/17.97 inference(monotonicity,[status(thm)],[6079])).
% 27.44/17.97 tff(6081,plain,
% 27.44/17.97 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB36, 0)) | (~v100(constB36)) | v129(constB36, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB36, 0)) | v129(constB36, 0) | (~v100(constB36)))),
% 27.44/17.97 inference(transitivity,[status(thm)],[6080, 6078])).
% 27.44/17.97 tff(6082,plain,
% 27.44/17.97 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB36, 0)) | (~v100(constB36)) | v129(constB36, 0))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6083,plain,
% 27.44/17.97 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB36, 0)) | v129(constB36, 0) | (~v100(constB36))),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6082, 6081])).
% 27.44/17.97 tff(6084,plain,
% 27.44/17.97 ((~v90(constB36, 0)) | (~v100(constB36))),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6083, 966, 6077])).
% 27.44/17.97 tff(6085,plain,
% 27.44/17.97 (~v90(constB36, 0)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6084, 5980])).
% 27.44/17.97 tff(6086,plain,
% 27.44/17.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB36, 0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB36, 0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 0)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6087,plain,
% 27.44/17.97 (((~nextState(constB36, constB37)) | v90(constB36, 0) | v100(constB37) | (~v90(constB37, 0))) <=> (v90(constB36, 0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 0)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6088,plain,
% 27.44/17.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB36, constB37)) | v90(constB36, 0) | v100(constB37) | (~v90(constB37, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB36, 0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 0))))),
% 27.44/17.97 inference(monotonicity,[status(thm)],[6087])).
% 27.44/17.97 tff(6089,plain,
% 27.44/17.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB36, constB37)) | v90(constB36, 0) | v100(constB37) | (~v90(constB37, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB36, 0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 0)))),
% 27.44/17.97 inference(transitivity,[status(thm)],[6088, 6086])).
% 27.44/17.97 tff(6090,plain,
% 27.44/17.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB36, constB37)) | v90(constB36, 0) | v100(constB37) | (~v90(constB37, 0)))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6091,plain,
% 27.44/17.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB36, 0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 0))),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6090, 6089])).
% 27.44/17.97 tff(6092,plain,
% 27.44/17.97 (v90(constB36, 0) | v100(constB37) | (~v90(constB37, 0))),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6091, 212, 6008])).
% 27.44/17.97 tff(6093,plain,
% 27.44/17.97 (v90(constB36, 0) | (~v90(constB37, 0))),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6092, 6020])).
% 27.44/17.97 tff(6094,plain,
% 27.44/17.97 (~v90(constB37, 0)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6093, 6085])).
% 27.44/17.97 tff(6095,plain,
% 27.44/17.97 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB37, 0) | (~v90(constB37, 1)) | (~v90(constB37, 2)) | v125(constB37))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB37, 0) | (~v90(constB37, 1)) | (~v90(constB37, 2)) | v125(constB37))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6096,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB37, 0) | (~v90(constB37, 1)) | (~v90(constB37, 2)) | v125(constB37))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6097,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB37, 0) | (~v90(constB37, 1)) | (~v90(constB37, 2)) | v125(constB37)),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6096, 6095])).
% 27.44/17.97 tff(6098,plain,
% 27.44/17.97 (v125(constB37)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6097, 2011, 6094, 6060, 6029])).
% 27.44/17.97 tff(6099,plain,
% 27.44/17.97 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB37)) | v113(constB37))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB37)) | v113(constB37))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6100,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB37)) | v113(constB37))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6101,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB37)) | v113(constB37)),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6100, 6099])).
% 27.44/17.97 tff(6102,plain,
% 27.44/17.97 (v113(constB37)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6101, 2022, 6098])).
% 27.44/17.97 tff(6103,assumption,(v26(constB37)), introduced(assumption)).
% 27.44/17.97 tff(6104,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB37))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6105,plain,
% 27.44/17.97 ($false),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6104, 95, 6103])).
% 27.44/17.97 tff(6106,plain,(~v26(constB37)), inference(lemma,lemma(discharge,[]))).
% 27.44/17.97 tff(6107,plain,
% 27.44/17.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | (~v113(constB37)) | v112(constB37))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6108,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6109,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | (~v113(constB37)) | v112(constB37)),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6108, 6107])).
% 27.44/17.97 tff(6110,plain,
% 27.44/17.97 ((~v113(constB37)) | v112(constB37)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6109, 328, 6106])).
% 27.44/17.97 tff(6111,plain,
% 27.44/17.97 (v112(constB37)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6110, 6102])).
% 27.44/17.97 tff(6112,plain,
% 27.44/17.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB37) | (~v112(constB37)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB37) | (~v112(constB37)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6113,plain,
% 27.44/17.97 (((~v112(constB37)) | v108(constB37)) <=> (v108(constB37) | (~v112(constB37)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6114,plain,
% 27.44/17.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB37)) | v108(constB37))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB37) | (~v112(constB37))))),
% 27.44/17.97 inference(monotonicity,[status(thm)],[6113])).
% 27.44/17.97 tff(6115,plain,
% 27.44/17.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB37)) | v108(constB37))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB37) | (~v112(constB37)))),
% 27.44/17.97 inference(transitivity,[status(thm)],[6114, 6112])).
% 27.44/17.97 tff(6116,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB37)) | v108(constB37))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6117,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB37) | (~v112(constB37))),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6116, 6115])).
% 27.44/17.97 tff(6118,plain,
% 27.44/17.97 (v108(constB37)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6117, 340, 6111])).
% 27.44/17.97 tff(6119,plain,
% 27.44/17.97 (nextState(constB37, constB38) <=> nextState(constB37, constB38)),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6120,axiom,(nextState(constB37, constB38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_37_1')).
% 27.44/17.97 tff(6121,plain,
% 27.44/17.97 (nextState(constB37, constB38)),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6120, 6119])).
% 27.44/17.97 tff(6122,plain,
% 27.44/17.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6123,plain,
% 27.44/17.97 (((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38)) <=> ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6124,plain,
% 27.44/17.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37))))),
% 27.44/17.97 inference(monotonicity,[status(thm)],[6123])).
% 27.44/17.97 tff(6125,plain,
% 27.44/17.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 27.44/17.97 inference(transitivity,[status(thm)],[6124, 6122])).
% 27.44/17.97 tff(6126,plain,
% 27.44/17.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6127,plain,
% 27.44/17.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37))),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6126, 6125])).
% 27.44/17.97 tff(6128,plain,
% 27.44/17.97 (v110(constB38) | (~v108(constB37))),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6127, 360, 6121])).
% 27.44/17.97 tff(6129,plain,
% 27.44/17.97 (v110(constB38)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6128, 6118])).
% 27.44/17.97 tff(6130,plain,
% 27.44/17.97 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6131,plain,
% 27.44/17.97 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6132,plain,
% 27.44/17.97 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38))),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6131, 6130])).
% 27.44/17.97 tff(6133,plain,
% 27.44/17.97 (~v104(constB38)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6132, 378, 6121, 6005])).
% 27.44/17.97 tff(6134,plain,
% 27.44/17.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6135,plain,
% 27.44/17.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6136,plain,
% 27.44/17.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB37, constB38)) | v102(constB38) | v104(constB38)),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6135, 6134])).
% 27.44/17.97 tff(6137,plain,
% 27.44/17.97 (v102(constB38) | v104(constB38)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6136, 392, 6121])).
% 27.44/17.97 tff(6138,plain,
% 27.44/17.97 (v102(constB38)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6137, 6133])).
% 27.44/17.97 tff(6139,plain,
% 27.44/17.97 (v1(constB38) <=> v1(constB38)),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6140,axiom,(v1(constB38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_38_1')).
% 27.44/17.97 tff(6141,plain,
% 27.44/17.97 (v1(constB38)),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6140, 6139])).
% 27.44/17.97 tff(6142,plain,
% 27.44/17.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6143,plain,
% 27.44/17.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6144,plain,
% 27.44/17.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38))),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6143, 6142])).
% 27.44/17.97 tff(6145,plain,
% 27.44/17.97 (v101(constB38) | (~v102(constB38))),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6144, 410, 6121, 6141])).
% 27.44/17.97 tff(6146,plain,
% 27.44/17.97 (v101(constB38)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6145, 6138])).
% 27.44/17.97 tff(6147,plain,
% 27.44/17.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6148,plain,
% 27.44/17.97 (((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38)) <=> ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6149,plain,
% 27.44/17.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38))))),
% 27.44/17.97 inference(monotonicity,[status(thm)],[6148])).
% 27.44/17.97 tff(6150,plain,
% 27.44/17.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 27.44/17.97 inference(transitivity,[status(thm)],[6149, 6147])).
% 27.44/17.97 tff(6151,plain,
% 27.44/17.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6152,plain,
% 27.44/17.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38))),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6151, 6150])).
% 27.44/17.97 tff(6153,plain,
% 27.44/17.97 (v100(constB38) | (~v101(constB38)) | (~v110(constB38))),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6152, 425, 6121])).
% 27.44/17.97 tff(6154,plain,
% 27.44/17.97 (v100(constB38) | (~v110(constB38))),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6153, 6146])).
% 27.44/17.97 tff(6155,plain,
% 27.44/17.97 (v100(constB38)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6154, 6129])).
% 27.44/17.97 tff(6156,plain,
% 27.44/17.97 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB37)) | (~v90(constB37, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB37)) | (~v90(constB37, 1)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6157,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB37)) | (~v90(constB37, 1)))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6158,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB37)) | (~v90(constB37, 1))),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6157, 6156])).
% 27.44/17.97 tff(6159,plain,
% 27.44/17.97 (~v123(constB37)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6158, 2108, 6060])).
% 27.44/17.97 tff(6160,plain,
% 27.44/17.97 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB37)) | (~v90(constB37, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB37)) | (~v90(constB37, 1)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6161,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB37)) | (~v90(constB37, 1)))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6162,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB37)) | (~v90(constB37, 1))),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6161, 6160])).
% 27.44/17.97 tff(6163,plain,
% 27.44/17.97 (~v124(constB37)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6162, 2097, 6060])).
% 27.44/17.97 tff(6164,plain,
% 27.44/17.97 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB37)) | (~v90(constB37, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB37)) | (~v90(constB37, 2)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6165,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB37)) | (~v90(constB37, 2)))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6166,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB37)) | (~v90(constB37, 2))),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6165, 6164])).
% 27.44/17.97 tff(6167,plain,
% 27.44/17.97 (~v122(constB37)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6166, 2119, 6029])).
% 27.44/17.97 tff(6168,plain,
% 27.44/17.97 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB37)) | (~v90(constB37, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB37)) | (~v90(constB37, 1)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6169,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB37)) | (~v90(constB37, 1)))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6170,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB37)) | (~v90(constB37, 1))),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6169, 6168])).
% 27.44/17.97 tff(6171,plain,
% 27.44/17.97 (~v120(constB37)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6170, 2141, 6060])).
% 27.44/17.97 tff(6172,plain,
% 27.44/17.97 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB37)) | (~v90(constB37, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB37)) | (~v90(constB37, 1)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6173,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB37)) | (~v90(constB37, 1)))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6174,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB37)) | (~v90(constB37, 1))),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6173, 6172])).
% 27.44/17.97 tff(6175,plain,
% 27.44/17.97 (~v119(constB37)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6174, 2086, 6060])).
% 27.44/17.97 tff(6176,plain,
% 27.44/17.97 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB37)) | (~v90(constB37, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB37)) | (~v90(constB37, 2)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6177,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB37)) | (~v90(constB37, 2)))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6178,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB37)) | (~v90(constB37, 2))),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6177, 6176])).
% 27.44/17.97 tff(6179,plain,
% 27.44/17.97 (~v121(constB37)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6178, 2130, 6029])).
% 27.44/17.97 tff(6180,plain,
% 27.44/17.97 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 2)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6181,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 2)))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6182,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 2))),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6181, 6180])).
% 27.44/17.97 tff(6183,plain,
% 27.44/17.97 (~v130(constB37, 2)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6182, 2155, 6179, 6175, 6171, 6167, 6163, 6159])).
% 27.44/17.97 tff(6184,plain,
% 27.44/17.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB37, 2)) | v26(constB37) | v130(constB37, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB37, 2)) | v26(constB37) | v130(constB37, 2))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6185,plain,
% 27.44/17.97 ((v26(constB37) | v130(constB37, 2) | (~v127(constB37, 2))) <=> ((~v127(constB37, 2)) | v26(constB37) | v130(constB37, 2))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6186,plain,
% 27.44/17.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB37) | v130(constB37, 2) | (~v127(constB37, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB37, 2)) | v26(constB37) | v130(constB37, 2)))),
% 27.44/17.97 inference(monotonicity,[status(thm)],[6185])).
% 27.44/17.97 tff(6187,plain,
% 27.44/17.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB37) | v130(constB37, 2) | (~v127(constB37, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB37, 2)) | v26(constB37) | v130(constB37, 2))),
% 27.44/17.97 inference(transitivity,[status(thm)],[6186, 6184])).
% 27.44/17.97 tff(6188,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB37) | v130(constB37, 2) | (~v127(constB37, 2)))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6189,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB37, 2)) | v26(constB37) | v130(constB37, 2)),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6188, 6187])).
% 27.44/17.97 tff(6190,plain,
% 27.44/17.97 ((~v127(constB37, 2)) | v130(constB37, 2)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6189, 455, 6106])).
% 27.44/17.97 tff(6191,plain,
% 27.44/17.97 (~v127(constB37, 2)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6190, 6183])).
% 27.44/17.97 tff(6192,plain,
% 27.44/17.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB37, constB38)) | v127(constB37, 2) | (~v129(constB38, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB37, constB38)) | v127(constB37, 2) | (~v129(constB38, 2)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6193,plain,
% 27.44/17.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB37, constB38)) | v127(constB37, 2) | (~v129(constB38, 2)))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6194,plain,
% 27.44/17.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB37, constB38)) | v127(constB37, 2) | (~v129(constB38, 2))),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6193, 6192])).
% 27.44/17.97 tff(6195,plain,
% 27.44/17.97 (v127(constB37, 2) | (~v129(constB38, 2))),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6194, 473, 6121])).
% 27.44/17.97 tff(6196,plain,
% 27.44/17.97 (~v129(constB38, 2)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6195, 6191])).
% 27.44/17.97 tff(6197,plain,
% 27.44/17.97 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB38, 2)) | v129(constB38, 2) | (~v100(constB38)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB38, 2)) | v129(constB38, 2) | (~v100(constB38)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6198,plain,
% 27.44/17.97 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB38, 2)) | v129(constB38, 2) | (~v100(constB38)))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6199,plain,
% 27.44/17.97 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB38, 2)) | v129(constB38, 2) | (~v100(constB38))),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6198, 6197])).
% 27.44/17.97 tff(6200,plain,
% 27.44/17.97 ((~v90(constB38, 2)) | (~v100(constB38))),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6199, 488, 6196])).
% 27.44/17.97 tff(6201,plain,
% 27.44/17.97 (~v90(constB38, 2)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6200, 6155])).
% 27.44/17.97 tff(6202,plain,
% 27.44/17.97 ((~v1(constB39)) <=> (~v1(constB39))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6203,axiom,(~v1(constB39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_39_1_1')).
% 27.44/17.97 tff(6204,plain,
% 27.44/17.97 (~v1(constB39)),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6203, 6202])).
% 27.44/17.97 tff(6205,plain,
% 27.44/17.97 (nextState(constB38, constB39) <=> nextState(constB38, constB39)),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6206,axiom,(nextState(constB38, constB39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_38_1')).
% 27.44/17.97 tff(6207,plain,
% 27.44/17.97 (nextState(constB38, constB39)),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6206, 6205])).
% 27.44/17.97 tff(6208,plain,
% 27.44/17.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6209,plain,
% 27.44/17.97 (((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39)) <=> (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6210,plain,
% 27.44/17.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39))))),
% 27.44/17.97 inference(monotonicity,[status(thm)],[6209])).
% 27.44/17.97 tff(6211,plain,
% 27.44/17.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 27.44/17.97 inference(transitivity,[status(thm)],[6210, 6208])).
% 27.44/17.97 tff(6212,plain,
% 27.44/17.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6213,plain,
% 27.44/17.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39))),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6212, 6211])).
% 27.44/17.97 tff(6214,plain,
% 27.44/17.97 (~v101(constB39)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6213, 138, 6207, 6204])).
% 27.44/17.97 tff(6215,plain,
% 27.44/17.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6216,plain,
% 27.44/17.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6217,plain,
% 27.44/17.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39))),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6216, 6215])).
% 27.44/17.97 tff(6218,plain,
% 27.44/17.97 (v101(constB39) | (~v100(constB39))),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6217, 155, 6207])).
% 27.44/17.97 tff(6219,plain,
% 27.44/17.97 (~v100(constB39)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6218, 6214])).
% 27.44/17.97 tff(6220,plain,
% 27.44/17.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB38, 2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB38, 2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 2)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6221,plain,
% 27.44/17.97 (((~nextState(constB38, constB39)) | v90(constB38, 2) | v100(constB39) | (~v90(constB39, 2))) <=> (v90(constB38, 2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 2)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6222,plain,
% 27.44/17.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB38, constB39)) | v90(constB38, 2) | v100(constB39) | (~v90(constB39, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB38, 2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 2))))),
% 27.44/17.97 inference(monotonicity,[status(thm)],[6221])).
% 27.44/17.97 tff(6223,plain,
% 27.44/17.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB38, constB39)) | v90(constB38, 2) | v100(constB39) | (~v90(constB39, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB38, 2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 2)))),
% 27.44/17.97 inference(transitivity,[status(thm)],[6222, 6220])).
% 27.44/17.97 tff(6224,plain,
% 27.44/17.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB38, constB39)) | v90(constB38, 2) | v100(constB39) | (~v90(constB39, 2)))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6225,plain,
% 27.44/17.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB38, 2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 2))),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6224, 6223])).
% 27.44/17.97 tff(6226,plain,
% 27.44/17.97 (v90(constB38, 2) | v100(constB39) | (~v90(constB39, 2))),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6225, 170, 6207])).
% 27.44/17.97 tff(6227,plain,
% 27.44/17.97 (v90(constB38, 2) | (~v90(constB39, 2))),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6226, 6219])).
% 27.44/17.97 tff(6228,plain,
% 27.44/17.97 (~v90(constB39, 2)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6227, 6201])).
% 27.44/17.97 tff(6229,plain,
% 27.44/17.97 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 1)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6230,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 1)))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6231,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 1))),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6230, 6229])).
% 27.44/17.97 tff(6232,plain,
% 27.44/17.97 (~v130(constB37, 1)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6231, 2214, 6179, 6175, 6171, 6167, 6163, 6159])).
% 27.44/17.97 tff(6233,plain,
% 27.44/17.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB37, 1)) | v26(constB37) | v130(constB37, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB37, 1)) | v26(constB37) | v130(constB37, 1))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6234,plain,
% 27.44/17.97 ((v26(constB37) | v130(constB37, 1) | (~v127(constB37, 1))) <=> ((~v127(constB37, 1)) | v26(constB37) | v130(constB37, 1))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6235,plain,
% 27.44/17.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB37) | v130(constB37, 1) | (~v127(constB37, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB37, 1)) | v26(constB37) | v130(constB37, 1)))),
% 27.44/17.97 inference(monotonicity,[status(thm)],[6234])).
% 27.44/17.97 tff(6236,plain,
% 27.44/17.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB37) | v130(constB37, 1) | (~v127(constB37, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB37, 1)) | v26(constB37) | v130(constB37, 1))),
% 27.44/17.97 inference(transitivity,[status(thm)],[6235, 6233])).
% 27.44/17.97 tff(6237,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB37) | v130(constB37, 1) | (~v127(constB37, 1)))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6238,plain,
% 27.44/17.97 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB37, 1)) | v26(constB37) | v130(constB37, 1)),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6237, 6236])).
% 27.44/17.97 tff(6239,plain,
% 27.44/17.97 ((~v127(constB37, 1)) | v130(constB37, 1)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6238, 541, 6106])).
% 27.44/17.97 tff(6240,plain,
% 27.44/17.97 (~v127(constB37, 1)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6239, 6232])).
% 27.44/17.97 tff(6241,plain,
% 27.44/17.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB37, constB38)) | v127(constB37, 1) | (~v129(constB38, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB37, constB38)) | v127(constB37, 1) | (~v129(constB38, 1)))),
% 27.44/17.97 inference(rewrite,[status(thm)],[])).
% 27.44/17.97 tff(6242,plain,
% 27.44/17.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB37, constB38)) | v127(constB37, 1) | (~v129(constB38, 1)))),
% 27.44/17.97 inference(quant_inst,[status(thm)],[])).
% 27.44/17.97 tff(6243,plain,
% 27.44/17.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB37, constB38)) | v127(constB37, 1) | (~v129(constB38, 1))),
% 27.44/17.97 inference(modus_ponens,[status(thm)],[6242, 6241])).
% 27.44/17.97 tff(6244,plain,
% 27.44/17.97 (v127(constB37, 1) | (~v129(constB38, 1))),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6243, 559, 6121])).
% 27.44/17.97 tff(6245,plain,
% 27.44/17.97 (~v129(constB38, 1)),
% 27.44/17.97 inference(unit_resolution,[status(thm)],[6244, 6240])).
% 27.44/17.97 tff(6246,plain,
% 27.44/17.97 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB38, 1)) | v129(constB38, 1) | (~v100(constB38)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB38, 1)) | v129(constB38, 1) | (~v100(constB38)))),
% 27.44/17.98 inference(rewrite,[status(thm)],[])).
% 27.44/17.98 tff(6247,plain,
% 27.44/17.98 (((~v90(constB38, 1)) | (~v100(constB38)) | v129(constB38, 1)) <=> ((~v90(constB38, 1)) | v129(constB38, 1) | (~v100(constB38)))),
% 27.44/17.98 inference(rewrite,[status(thm)],[])).
% 27.44/17.98 tff(6248,plain,
% 27.44/17.98 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB38, 1)) | (~v100(constB38)) | v129(constB38, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB38, 1)) | v129(constB38, 1) | (~v100(constB38))))),
% 27.44/17.98 inference(monotonicity,[status(thm)],[6247])).
% 27.44/17.98 tff(6249,plain,
% 27.44/17.98 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB38, 1)) | (~v100(constB38)) | v129(constB38, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB38, 1)) | v129(constB38, 1) | (~v100(constB38)))),
% 27.44/17.98 inference(transitivity,[status(thm)],[6248, 6246])).
% 27.44/17.98 tff(6250,plain,
% 27.44/17.98 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB38, 1)) | (~v100(constB38)) | v129(constB38, 1))),
% 27.44/17.98 inference(quant_inst,[status(thm)],[])).
% 27.44/17.98 tff(6251,plain,
% 27.44/17.98 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB38, 1)) | v129(constB38, 1) | (~v100(constB38))),
% 27.44/17.98 inference(modus_ponens,[status(thm)],[6250, 6249])).
% 27.44/17.98 tff(6252,plain,
% 27.44/17.98 ((~v90(constB38, 1)) | (~v100(constB38))),
% 27.44/17.98 inference(unit_resolution,[status(thm)],[6251, 574, 6245])).
% 27.44/17.98 tff(6253,plain,
% 27.44/17.98 (~v90(constB38, 1)),
% 27.44/17.98 inference(unit_resolution,[status(thm)],[6252, 6155])).
% 27.44/17.98 tff(6254,plain,
% 27.44/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB38, 1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB38, 1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 1)))),
% 27.44/17.98 inference(rewrite,[status(thm)],[])).
% 27.44/17.98 tff(6255,plain,
% 27.44/17.98 (((~nextState(constB38, constB39)) | v90(constB38, 1) | v100(constB39) | (~v90(constB39, 1))) <=> (v90(constB38, 1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 1)))),
% 27.44/17.98 inference(rewrite,[status(thm)],[])).
% 27.44/17.98 tff(6256,plain,
% 27.44/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB38, constB39)) | v90(constB38, 1) | v100(constB39) | (~v90(constB39, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB38, 1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 1))))),
% 27.44/17.98 inference(monotonicity,[status(thm)],[6255])).
% 27.44/17.98 tff(6257,plain,
% 27.44/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB38, constB39)) | v90(constB38, 1) | v100(constB39) | (~v90(constB39, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB38, 1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 1)))),
% 27.44/17.98 inference(transitivity,[status(thm)],[6256, 6254])).
% 27.44/17.98 tff(6258,plain,
% 27.44/17.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB38, constB39)) | v90(constB38, 1) | v100(constB39) | (~v90(constB39, 1)))),
% 27.44/17.98 inference(quant_inst,[status(thm)],[])).
% 27.44/17.98 tff(6259,plain,
% 27.44/17.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB38, 1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 1))),
% 27.44/17.98 inference(modus_ponens,[status(thm)],[6258, 6257])).
% 27.44/17.98 tff(6260,plain,
% 27.44/17.98 (v90(constB38, 1) | v100(constB39) | (~v90(constB39, 1))),
% 27.44/17.98 inference(unit_resolution,[status(thm)],[6259, 191, 6207])).
% 27.44/17.98 tff(6261,plain,
% 27.44/17.98 (v90(constB38, 1) | (~v90(constB39, 1))),
% 27.44/17.98 inference(unit_resolution,[status(thm)],[6260, 6219])).
% 27.44/17.98 tff(6262,plain,
% 27.44/17.98 (~v90(constB39, 1)),
% 27.44/17.98 inference(unit_resolution,[status(thm)],[6261, 6253])).
% 27.44/17.98 tff(6263,plain,
% 27.44/17.98 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, 0))),
% 27.44/17.98 inference(rewrite,[status(thm)],[])).
% 27.44/17.98 tff(6264,plain,
% 27.44/17.98 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, 0))),
% 27.44/17.98 inference(quant_inst,[status(thm)],[])).
% 27.44/17.98 tff(6265,plain,
% 27.44/17.98 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, 0)),
% 27.44/17.98 inference(modus_ponens,[status(thm)],[6264, 6263])).
% 27.44/17.98 tff(6266,plain,
% 27.44/17.98 (v130(constB37, 0)),
% 27.44/17.98 inference(unit_resolution,[status(thm)],[6265, 2258, 6179, 6175, 6171, 6167, 6163, 6159])).
% 27.44/17.98 tff(6267,plain,
% 27.44/17.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB37) | (~v130(constB37, 0)) | v127(constB37, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB37) | (~v130(constB37, 0)) | v127(constB37, 0))),
% 27.44/17.98 inference(rewrite,[status(thm)],[])).
% 27.44/17.98 tff(6268,plain,
% 27.44/17.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB37) | (~v130(constB37, 0)) | v127(constB37, 0))),
% 27.44/17.98 inference(quant_inst,[status(thm)],[])).
% 27.44/17.98 tff(6269,plain,
% 27.44/17.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB37) | (~v130(constB37, 0)) | v127(constB37, 0)),
% 27.44/17.98 inference(modus_ponens,[status(thm)],[6268, 6267])).
% 27.44/17.98 tff(6270,plain,
% 27.44/17.98 ((~v130(constB37, 0)) | v127(constB37, 0)),
% 27.44/17.98 inference(unit_resolution,[status(thm)],[6269, 612, 6106])).
% 27.44/17.98 tff(6271,plain,
% 27.44/17.98 (v127(constB37, 0)),
% 27.44/17.98 inference(unit_resolution,[status(thm)],[6270, 6266])).
% 27.44/17.98 tff(6272,plain,
% 27.44/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB37, constB38)) | (~v127(constB37, 0)) | v129(constB38, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB37, constB38)) | (~v127(constB37, 0)) | v129(constB38, 0))),
% 27.44/17.98 inference(rewrite,[status(thm)],[])).
% 27.44/17.98 tff(6273,plain,
% 27.44/17.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB37, constB38)) | (~v127(constB37, 0)) | v129(constB38, 0))),
% 27.44/17.98 inference(quant_inst,[status(thm)],[])).
% 27.44/17.98 tff(6274,plain,
% 27.44/17.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB37, constB38)) | (~v127(constB37, 0)) | v129(constB38, 0)),
% 27.44/17.98 inference(modus_ponens,[status(thm)],[6273, 6272])).
% 27.44/17.98 tff(6275,plain,
% 27.44/17.98 ((~v127(constB37, 0)) | v129(constB38, 0)),
% 27.44/17.98 inference(unit_resolution,[status(thm)],[6274, 627, 6121])).
% 27.44/17.98 tff(6276,plain,
% 27.44/17.98 (v129(constB38, 0)),
% 27.44/17.98 inference(unit_resolution,[status(thm)],[6275, 6271])).
% 27.44/17.98 tff(6277,plain,
% 27.44/17.98 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB38, 0) | (~v129(constB38, 0)) | (~v100(constB38)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB38, 0) | (~v129(constB38, 0)) | (~v100(constB38)))),
% 27.44/17.98 inference(rewrite,[status(thm)],[])).
% 27.44/17.98 tff(6278,plain,
% 27.44/17.98 ((v90(constB38, 0) | (~v100(constB38)) | (~v129(constB38, 0))) <=> (v90(constB38, 0) | (~v129(constB38, 0)) | (~v100(constB38)))),
% 27.44/17.98 inference(rewrite,[status(thm)],[])).
% 27.44/17.98 tff(6279,plain,
% 27.44/17.98 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB38, 0) | (~v100(constB38)) | (~v129(constB38, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB38, 0) | (~v129(constB38, 0)) | (~v100(constB38))))),
% 27.44/17.98 inference(monotonicity,[status(thm)],[6278])).
% 27.44/17.98 tff(6280,plain,
% 27.44/17.98 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB38, 0) | (~v100(constB38)) | (~v129(constB38, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB38, 0) | (~v129(constB38, 0)) | (~v100(constB38)))),
% 27.44/17.98 inference(transitivity,[status(thm)],[6279, 6277])).
% 27.44/17.98 tff(6281,plain,
% 27.44/17.98 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB38, 0) | (~v100(constB38)) | (~v129(constB38, 0)))),
% 27.44/17.98 inference(quant_inst,[status(thm)],[])).
% 27.44/17.98 tff(6282,plain,
% 27.44/17.98 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB38, 0) | (~v129(constB38, 0)) | (~v100(constB38))),
% 27.44/17.98 inference(modus_ponens,[status(thm)],[6281, 6280])).
% 27.44/17.98 tff(6283,plain,
% 27.44/17.98 (v90(constB38, 0) | (~v100(constB38))),
% 27.44/17.98 inference(unit_resolution,[status(thm)],[6282, 642, 6276])).
% 27.44/17.98 tff(6284,plain,
% 27.44/17.98 (v90(constB38, 0)),
% 27.44/17.98 inference(unit_resolution,[status(thm)],[6283, 6155])).
% 27.44/17.98 tff(6285,plain,
% 27.44/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB38, 0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB38, 0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 0))),
% 27.44/17.98 inference(rewrite,[status(thm)],[])).
% 27.44/17.98 tff(6286,plain,
% 27.44/17.98 (((~nextState(constB38, constB39)) | (~v90(constB38, 0)) | v100(constB39) | v90(constB39, 0)) <=> ((~v90(constB38, 0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 0))),
% 27.44/17.98 inference(rewrite,[status(thm)],[])).
% 27.44/17.98 tff(6287,plain,
% 27.44/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB38, constB39)) | (~v90(constB38, 0)) | v100(constB39) | v90(constB39, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB38, 0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 0)))),
% 27.44/17.98 inference(monotonicity,[status(thm)],[6286])).
% 27.44/17.98 tff(6288,plain,
% 27.44/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB38, constB39)) | (~v90(constB38, 0)) | v100(constB39) | v90(constB39, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB38, 0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 0))),
% 27.46/17.98 inference(transitivity,[status(thm)],[6287, 6285])).
% 27.46/17.98 tff(6289,plain,
% 27.46/17.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB38, constB39)) | (~v90(constB38, 0)) | v100(constB39) | v90(constB39, 0))),
% 27.46/17.98 inference(quant_inst,[status(thm)],[])).
% 27.46/17.98 tff(6290,plain,
% 27.46/17.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB38, 0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 0)),
% 27.46/17.98 inference(modus_ponens,[status(thm)],[6289, 6288])).
% 27.46/17.98 tff(6291,plain,
% 27.46/17.98 ((~v90(constB38, 0)) | v100(constB39) | v90(constB39, 0)),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6290, 660, 6207])).
% 27.46/17.98 tff(6292,plain,
% 27.46/17.98 ((~v90(constB38, 0)) | v90(constB39, 0)),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6291, 6219])).
% 27.46/17.98 tff(6293,plain,
% 27.46/17.98 (v90(constB39, 0)),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6292, 6284])).
% 27.46/17.98 tff(6294,plain,
% 27.46/17.98 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB39, 0)) | v90(constB39, 1) | v90(constB39, 2) | v120(constB39))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB39, 0)) | v90(constB39, 1) | v90(constB39, 2) | v120(constB39))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6295,plain,
% 27.46/17.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB39, 0)) | v90(constB39, 1) | v90(constB39, 2) | v120(constB39))),
% 27.46/17.98 inference(quant_inst,[status(thm)],[])).
% 27.46/17.98 tff(6296,plain,
% 27.46/17.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB39, 0)) | v90(constB39, 1) | v90(constB39, 2) | v120(constB39)),
% 27.46/17.98 inference(modus_ponens,[status(thm)],[6295, 6294])).
% 27.46/17.98 tff(6297,plain,
% 27.46/17.98 (v120(constB39)),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6296, 679, 6293, 6262, 6228])).
% 27.46/17.98 tff(6298,plain,
% 27.46/17.98 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB39) | (~v120(constB39)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB39) | (~v120(constB39)))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6299,plain,
% 27.46/17.98 (((~v120(constB39)) | v118(constB39)) <=> (v118(constB39) | (~v120(constB39)))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6300,plain,
% 27.46/17.98 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB39)) | v118(constB39))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB39) | (~v120(constB39))))),
% 27.46/17.98 inference(monotonicity,[status(thm)],[6299])).
% 27.46/17.98 tff(6301,plain,
% 27.46/17.98 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB39)) | v118(constB39))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB39) | (~v120(constB39)))),
% 27.46/17.98 inference(transitivity,[status(thm)],[6300, 6298])).
% 27.46/17.98 tff(6302,plain,
% 27.46/17.98 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB39)) | v118(constB39))),
% 27.46/17.98 inference(quant_inst,[status(thm)],[])).
% 27.46/17.98 tff(6303,plain,
% 27.46/17.98 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB39) | (~v120(constB39))),
% 27.46/17.98 inference(modus_ponens,[status(thm)],[6302, 6301])).
% 27.46/17.98 tff(6304,plain,
% 27.46/17.98 (v118(constB39)),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6303, 690, 6297])).
% 27.46/17.98 tff(6305,plain,
% 27.46/17.98 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB39) | (~v118(constB39)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB39) | (~v118(constB39)))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6306,plain,
% 27.46/17.98 (((~v118(constB39)) | v117(constB39)) <=> (v117(constB39) | (~v118(constB39)))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6307,plain,
% 27.46/17.98 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB39)) | v117(constB39))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB39) | (~v118(constB39))))),
% 27.46/17.98 inference(monotonicity,[status(thm)],[6306])).
% 27.46/17.98 tff(6308,plain,
% 27.46/17.98 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB39)) | v117(constB39))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB39) | (~v118(constB39)))),
% 27.46/17.98 inference(transitivity,[status(thm)],[6307, 6305])).
% 27.46/17.98 tff(6309,plain,
% 27.46/17.98 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB39)) | v117(constB39))),
% 27.46/17.98 inference(quant_inst,[status(thm)],[])).
% 27.46/17.98 tff(6310,plain,
% 27.46/17.98 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB39) | (~v118(constB39))),
% 27.46/17.98 inference(modus_ponens,[status(thm)],[6309, 6308])).
% 27.46/17.98 tff(6311,plain,
% 27.46/17.98 (v117(constB39)),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6310, 258, 6304])).
% 27.46/17.98 tff(6312,plain,
% 27.46/17.98 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB39) | (~v117(constB39)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB39) | (~v117(constB39)))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6313,plain,
% 27.46/17.98 (((~v117(constB39)) | v116(constB39)) <=> (v116(constB39) | (~v117(constB39)))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6314,plain,
% 27.46/17.98 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB39)) | v116(constB39))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB39) | (~v117(constB39))))),
% 27.46/17.98 inference(monotonicity,[status(thm)],[6313])).
% 27.46/17.98 tff(6315,plain,
% 27.46/17.98 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB39)) | v116(constB39))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB39) | (~v117(constB39)))),
% 27.46/17.98 inference(transitivity,[status(thm)],[6314, 6312])).
% 27.46/17.98 tff(6316,plain,
% 27.46/17.98 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB39)) | v116(constB39))),
% 27.46/17.98 inference(quant_inst,[status(thm)],[])).
% 27.46/17.98 tff(6317,plain,
% 27.46/17.98 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB39) | (~v117(constB39))),
% 27.46/17.98 inference(modus_ponens,[status(thm)],[6316, 6315])).
% 27.46/17.98 tff(6318,plain,
% 27.46/17.98 (v116(constB39)),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6317, 272, 6311])).
% 27.46/17.98 tff(6319,plain,
% 27.46/17.98 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB39)) | v115(constB39))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB39)) | v115(constB39))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6320,plain,
% 27.46/17.98 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB39)) | v115(constB39))),
% 27.46/17.98 inference(quant_inst,[status(thm)],[])).
% 27.46/17.98 tff(6321,plain,
% 27.46/17.98 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB39)) | v115(constB39)),
% 27.46/17.98 inference(modus_ponens,[status(thm)],[6320, 6319])).
% 27.46/17.98 tff(6322,plain,
% 27.46/17.98 (v115(constB39)),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6321, 286, 6318])).
% 27.46/17.98 tff(6323,plain,
% 27.46/17.98 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB39) | (~v115(constB39)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB39) | (~v115(constB39)))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6324,plain,
% 27.46/17.98 (((~v115(constB39)) | v114(constB39)) <=> (v114(constB39) | (~v115(constB39)))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6325,plain,
% 27.46/17.98 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB39)) | v114(constB39))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB39) | (~v115(constB39))))),
% 27.46/17.98 inference(monotonicity,[status(thm)],[6324])).
% 27.46/17.98 tff(6326,plain,
% 27.46/17.98 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB39)) | v114(constB39))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB39) | (~v115(constB39)))),
% 27.46/17.98 inference(transitivity,[status(thm)],[6325, 6323])).
% 27.46/17.98 tff(6327,plain,
% 27.46/17.98 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB39)) | v114(constB39))),
% 27.46/17.98 inference(quant_inst,[status(thm)],[])).
% 27.46/17.98 tff(6328,plain,
% 27.46/17.98 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB39) | (~v115(constB39))),
% 27.46/17.98 inference(modus_ponens,[status(thm)],[6327, 6326])).
% 27.46/17.98 tff(6329,plain,
% 27.46/17.98 (v114(constB39)),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6328, 300, 6322])).
% 27.46/17.98 tff(6330,plain,
% 27.46/17.98 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB39) | (~v114(constB39)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB39) | (~v114(constB39)))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6331,plain,
% 27.46/17.98 (((~v114(constB39)) | v113(constB39)) <=> (v113(constB39) | (~v114(constB39)))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6332,plain,
% 27.46/17.98 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB39)) | v113(constB39))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB39) | (~v114(constB39))))),
% 27.46/17.98 inference(monotonicity,[status(thm)],[6331])).
% 27.46/17.98 tff(6333,plain,
% 27.46/17.98 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB39)) | v113(constB39))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB39) | (~v114(constB39)))),
% 27.46/17.98 inference(transitivity,[status(thm)],[6332, 6330])).
% 27.46/17.98 tff(6334,plain,
% 27.46/17.98 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB39)) | v113(constB39))),
% 27.46/17.98 inference(quant_inst,[status(thm)],[])).
% 27.46/17.98 tff(6335,plain,
% 27.46/17.98 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB39) | (~v114(constB39))),
% 27.46/17.98 inference(modus_ponens,[status(thm)],[6334, 6333])).
% 27.46/17.98 tff(6336,plain,
% 27.46/17.98 (v113(constB39)),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6335, 314, 6329])).
% 27.46/17.98 tff(6337,assumption,(v26(constB39)), introduced(assumption)).
% 27.46/17.98 tff(6338,plain,
% 27.46/17.98 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB39))),
% 27.46/17.98 inference(quant_inst,[status(thm)],[])).
% 27.46/17.98 tff(6339,plain,
% 27.46/17.98 ($false),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6338, 95, 6337])).
% 27.46/17.98 tff(6340,plain,(~v26(constB39)), inference(lemma,lemma(discharge,[]))).
% 27.46/17.98 tff(6341,plain,
% 27.46/17.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | v112(constB39) | (~v113(constB39)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | v112(constB39) | (~v113(constB39)))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6342,plain,
% 27.46/17.98 ((v26(constB39) | (~v113(constB39)) | v112(constB39)) <=> (v26(constB39) | v112(constB39) | (~v113(constB39)))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6343,plain,
% 27.46/17.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | v112(constB39) | (~v113(constB39))))),
% 27.46/17.98 inference(monotonicity,[status(thm)],[6342])).
% 27.46/17.98 tff(6344,plain,
% 27.46/17.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | v112(constB39) | (~v113(constB39)))),
% 27.46/17.98 inference(transitivity,[status(thm)],[6343, 6341])).
% 27.46/17.98 tff(6345,plain,
% 27.46/17.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))),
% 27.46/17.98 inference(quant_inst,[status(thm)],[])).
% 27.46/17.98 tff(6346,plain,
% 27.46/17.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | v112(constB39) | (~v113(constB39))),
% 27.46/17.98 inference(modus_ponens,[status(thm)],[6345, 6344])).
% 27.46/17.98 tff(6347,plain,
% 27.46/17.98 (v112(constB39) | (~v113(constB39))),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6346, 328, 6340])).
% 27.46/17.98 tff(6348,plain,
% 27.46/17.98 (v112(constB39)),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6347, 6336])).
% 27.46/17.98 tff(6349,plain,
% 27.46/17.98 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB39) | (~v112(constB39)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v112(constB39)))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6350,plain,
% 27.46/17.98 (((~v112(constB39)) | v108(constB39)) <=> (v108(constB39) | (~v112(constB39)))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6351,plain,
% 27.46/17.98 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB39)) | v108(constB39))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB39) | (~v112(constB39))))),
% 27.46/17.98 inference(monotonicity,[status(thm)],[6350])).
% 27.46/17.98 tff(6352,plain,
% 27.46/17.98 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB39)) | v108(constB39))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v112(constB39)))),
% 27.46/17.98 inference(transitivity,[status(thm)],[6351, 6349])).
% 27.46/17.98 tff(6353,plain,
% 27.46/17.98 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB39)) | v108(constB39))),
% 27.46/17.98 inference(quant_inst,[status(thm)],[])).
% 27.46/17.98 tff(6354,plain,
% 27.46/17.98 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v112(constB39))),
% 27.46/17.98 inference(modus_ponens,[status(thm)],[6353, 6352])).
% 27.46/17.98 tff(6355,plain,
% 27.46/17.98 (v108(constB39)),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6354, 340, 6348])).
% 27.46/17.98 tff(6356,plain,
% 27.46/17.98 (nextState(constB39, constB40) <=> nextState(constB39, constB40)),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6357,axiom,(nextState(constB39, constB40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_39_1')).
% 27.46/17.98 tff(6358,plain,
% 27.46/17.98 (nextState(constB39, constB40)),
% 27.46/17.98 inference(modus_ponens,[status(thm)],[6357, 6356])).
% 27.46/17.98 tff(6359,plain,
% 27.46/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6360,plain,
% 27.46/17.98 (((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40)) <=> ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6361,plain,
% 27.46/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39))))),
% 27.46/17.98 inference(monotonicity,[status(thm)],[6360])).
% 27.46/17.98 tff(6362,plain,
% 27.46/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 27.46/17.98 inference(transitivity,[status(thm)],[6361, 6359])).
% 27.46/17.98 tff(6363,plain,
% 27.46/17.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))),
% 27.46/17.98 inference(quant_inst,[status(thm)],[])).
% 27.46/17.98 tff(6364,plain,
% 27.46/17.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39))),
% 27.46/17.98 inference(modus_ponens,[status(thm)],[6363, 6362])).
% 27.46/17.98 tff(6365,plain,
% 27.46/17.98 (v110(constB40) | (~v108(constB39))),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6364, 360, 6358])).
% 27.46/17.98 tff(6366,plain,
% 27.46/17.98 (v110(constB40)),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6365, 6355])).
% 27.46/17.98 tff(6367,plain,
% 27.46/17.98 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6368,plain,
% 27.46/17.98 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))),
% 27.46/17.98 inference(quant_inst,[status(thm)],[])).
% 27.46/17.98 tff(6369,plain,
% 27.46/17.98 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40))),
% 27.46/17.98 inference(modus_ponens,[status(thm)],[6368, 6367])).
% 27.46/17.98 tff(6370,plain,
% 27.46/17.98 (~v104(constB40)),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6369, 378, 6358, 6204])).
% 27.46/17.98 tff(6371,plain,
% 27.46/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6372,plain,
% 27.46/17.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))),
% 27.46/17.98 inference(quant_inst,[status(thm)],[])).
% 27.46/17.98 tff(6373,plain,
% 27.46/17.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB39, constB40)) | v102(constB40) | v104(constB40)),
% 27.46/17.98 inference(modus_ponens,[status(thm)],[6372, 6371])).
% 27.46/17.98 tff(6374,plain,
% 27.46/17.98 (v102(constB40) | v104(constB40)),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6373, 392, 6358])).
% 27.46/17.98 tff(6375,plain,
% 27.46/17.98 (v102(constB40)),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6374, 6370])).
% 27.46/17.98 tff(6376,plain,
% 27.46/17.98 (v1(constB40) <=> v1(constB40)),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6377,axiom,(v1(constB40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_40_1')).
% 27.46/17.98 tff(6378,plain,
% 27.46/17.98 (v1(constB40)),
% 27.46/17.98 inference(modus_ponens,[status(thm)],[6377, 6376])).
% 27.46/17.98 tff(6379,plain,
% 27.46/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6380,plain,
% 27.46/17.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))),
% 27.46/17.98 inference(quant_inst,[status(thm)],[])).
% 27.46/17.98 tff(6381,plain,
% 27.46/17.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40))),
% 27.46/17.98 inference(modus_ponens,[status(thm)],[6380, 6379])).
% 27.46/17.98 tff(6382,plain,
% 27.46/17.98 (v101(constB40) | (~v102(constB40))),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6381, 410, 6358, 6378])).
% 27.46/17.98 tff(6383,plain,
% 27.46/17.98 (v101(constB40)),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6382, 6375])).
% 27.46/17.98 tff(6384,plain,
% 27.46/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6385,plain,
% 27.46/17.98 (((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40)) <=> ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6386,plain,
% 27.46/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40))))),
% 27.46/17.98 inference(monotonicity,[status(thm)],[6385])).
% 27.46/17.98 tff(6387,plain,
% 27.46/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 27.46/17.98 inference(transitivity,[status(thm)],[6386, 6384])).
% 27.46/17.98 tff(6388,plain,
% 27.46/17.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))),
% 27.46/17.98 inference(quant_inst,[status(thm)],[])).
% 27.46/17.98 tff(6389,plain,
% 27.46/17.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40))),
% 27.46/17.98 inference(modus_ponens,[status(thm)],[6388, 6387])).
% 27.46/17.98 tff(6390,plain,
% 27.46/17.98 (v100(constB40) | (~v101(constB40)) | (~v110(constB40))),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6389, 425, 6358])).
% 27.46/17.98 tff(6391,plain,
% 27.46/17.98 (v100(constB40) | (~v110(constB40))),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6390, 6383])).
% 27.46/17.98 tff(6392,plain,
% 27.46/17.98 (v100(constB40)),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6391, 6366])).
% 27.46/17.98 tff(6393,plain,
% 27.46/17.98 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB39)) | (~v130(constB39, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB39)) | (~v130(constB39, 2)))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6394,plain,
% 27.46/17.98 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB39)) | (~v130(constB39, 2)))),
% 27.46/17.98 inference(quant_inst,[status(thm)],[])).
% 27.46/17.98 tff(6395,plain,
% 27.46/17.98 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB39)) | (~v130(constB39, 2))),
% 27.46/17.98 inference(modus_ponens,[status(thm)],[6394, 6393])).
% 27.46/17.98 tff(6396,plain,
% 27.46/17.98 (~v130(constB39, 2)),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6395, 785, 6297])).
% 27.46/17.98 tff(6397,plain,
% 27.46/17.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB39, 2)) | v26(constB39) | v130(constB39, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB39, 2)) | v26(constB39) | v130(constB39, 2))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6398,plain,
% 27.46/17.98 ((v26(constB39) | v130(constB39, 2) | (~v127(constB39, 2))) <=> ((~v127(constB39, 2)) | v26(constB39) | v130(constB39, 2))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6399,plain,
% 27.46/17.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB39) | v130(constB39, 2) | (~v127(constB39, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB39, 2)) | v26(constB39) | v130(constB39, 2)))),
% 27.46/17.98 inference(monotonicity,[status(thm)],[6398])).
% 27.46/17.98 tff(6400,plain,
% 27.46/17.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB39) | v130(constB39, 2) | (~v127(constB39, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB39, 2)) | v26(constB39) | v130(constB39, 2))),
% 27.46/17.98 inference(transitivity,[status(thm)],[6399, 6397])).
% 27.46/17.98 tff(6401,plain,
% 27.46/17.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB39) | v130(constB39, 2) | (~v127(constB39, 2)))),
% 27.46/17.98 inference(quant_inst,[status(thm)],[])).
% 27.46/17.98 tff(6402,plain,
% 27.46/17.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB39, 2)) | v26(constB39) | v130(constB39, 2)),
% 27.46/17.98 inference(modus_ponens,[status(thm)],[6401, 6400])).
% 27.46/17.98 tff(6403,plain,
% 27.46/17.98 ((~v127(constB39, 2)) | v130(constB39, 2)),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6402, 455, 6340])).
% 27.46/17.98 tff(6404,plain,
% 27.46/17.98 (~v127(constB39, 2)),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6403, 6396])).
% 27.46/17.98 tff(6405,plain,
% 27.46/17.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB39, constB40)) | v127(constB39, 2) | (~v129(constB40, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB39, constB40)) | v127(constB39, 2) | (~v129(constB40, 2)))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6406,plain,
% 27.46/17.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB39, constB40)) | v127(constB39, 2) | (~v129(constB40, 2)))),
% 27.46/17.98 inference(quant_inst,[status(thm)],[])).
% 27.46/17.98 tff(6407,plain,
% 27.46/17.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB39, constB40)) | v127(constB39, 2) | (~v129(constB40, 2))),
% 27.46/17.98 inference(modus_ponens,[status(thm)],[6406, 6405])).
% 27.46/17.98 tff(6408,plain,
% 27.46/17.98 (v127(constB39, 2) | (~v129(constB40, 2))),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6407, 473, 6358])).
% 27.46/17.98 tff(6409,plain,
% 27.46/17.98 (~v129(constB40, 2)),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6408, 6404])).
% 27.46/17.98 tff(6410,plain,
% 27.46/17.98 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB40, 2)) | v129(constB40, 2) | (~v100(constB40)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB40, 2)) | v129(constB40, 2) | (~v100(constB40)))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6411,plain,
% 27.46/17.98 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB40, 2)) | v129(constB40, 2) | (~v100(constB40)))),
% 27.46/17.98 inference(quant_inst,[status(thm)],[])).
% 27.46/17.98 tff(6412,plain,
% 27.46/17.98 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB40, 2)) | v129(constB40, 2) | (~v100(constB40))),
% 27.46/17.98 inference(modus_ponens,[status(thm)],[6411, 6410])).
% 27.46/17.98 tff(6413,plain,
% 27.46/17.98 ((~v90(constB40, 2)) | (~v100(constB40))),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6412, 488, 6409])).
% 27.46/17.98 tff(6414,plain,
% 27.46/17.98 (~v90(constB40, 2)),
% 27.46/17.98 inference(unit_resolution,[status(thm)],[6413, 6392])).
% 27.46/17.98 tff(6415,plain,
% 27.46/17.98 ((~v1(constB41)) <=> (~v1(constB41))),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6416,axiom,(~v1(constB41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_41_1_1')).
% 27.46/17.98 tff(6417,plain,
% 27.46/17.98 (~v1(constB41)),
% 27.46/17.98 inference(modus_ponens,[status(thm)],[6416, 6415])).
% 27.46/17.98 tff(6418,plain,
% 27.46/17.98 (nextState(constB40, constB41) <=> nextState(constB40, constB41)),
% 27.46/17.98 inference(rewrite,[status(thm)],[])).
% 27.46/17.98 tff(6419,axiom,(nextState(constB40, constB41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_40_1')).
% 27.46/17.99 tff(6420,plain,
% 27.46/17.99 (nextState(constB40, constB41)),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6419, 6418])).
% 27.46/17.99 tff(6421,plain,
% 27.46/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6422,plain,
% 27.46/17.99 (((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41)) <=> (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6423,plain,
% 27.46/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41))))),
% 27.46/17.99 inference(monotonicity,[status(thm)],[6422])).
% 27.46/17.99 tff(6424,plain,
% 27.46/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 27.46/17.99 inference(transitivity,[status(thm)],[6423, 6421])).
% 27.46/17.99 tff(6425,plain,
% 27.46/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6426,plain,
% 27.46/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41))),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6425, 6424])).
% 27.46/17.99 tff(6427,plain,
% 27.46/17.99 (~v101(constB41)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6426, 138, 6420, 6417])).
% 27.46/17.99 tff(6428,plain,
% 27.46/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6429,plain,
% 27.46/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6430,plain,
% 27.46/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41))),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6429, 6428])).
% 27.46/17.99 tff(6431,plain,
% 27.46/17.99 (v101(constB41) | (~v100(constB41))),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6430, 155, 6420])).
% 27.46/17.99 tff(6432,plain,
% 27.46/17.99 (~v100(constB41)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6431, 6427])).
% 27.46/17.99 tff(6433,plain,
% 27.46/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB40, 2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB40, 2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 2)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6434,plain,
% 27.46/17.99 (((~nextState(constB40, constB41)) | v90(constB40, 2) | v100(constB41) | (~v90(constB41, 2))) <=> (v90(constB40, 2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 2)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6435,plain,
% 27.46/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB40, constB41)) | v90(constB40, 2) | v100(constB41) | (~v90(constB41, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB40, 2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 2))))),
% 27.46/17.99 inference(monotonicity,[status(thm)],[6434])).
% 27.46/17.99 tff(6436,plain,
% 27.46/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB40, constB41)) | v90(constB40, 2) | v100(constB41) | (~v90(constB41, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB40, 2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 2)))),
% 27.46/17.99 inference(transitivity,[status(thm)],[6435, 6433])).
% 27.46/17.99 tff(6437,plain,
% 27.46/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB40, constB41)) | v90(constB40, 2) | v100(constB41) | (~v90(constB41, 2)))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6438,plain,
% 27.46/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB40, 2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 2))),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6437, 6436])).
% 27.46/17.99 tff(6439,plain,
% 27.46/17.99 (v90(constB40, 2) | v100(constB41) | (~v90(constB41, 2))),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6438, 170, 6420])).
% 27.46/17.99 tff(6440,plain,
% 27.46/17.99 (v90(constB40, 2) | (~v90(constB41, 2))),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6439, 6432])).
% 27.46/17.99 tff(6441,plain,
% 27.46/17.99 (~v90(constB41, 2)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6440, 6414])).
% 27.46/17.99 tff(6442,plain,
% 27.46/17.99 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB39)) | v130(constB39, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB39)) | v130(constB39, 1))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6443,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB39)) | v130(constB39, 1))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6444,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB39)) | v130(constB39, 1)),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6443, 6442])).
% 27.46/17.99 tff(6445,plain,
% 27.46/17.99 (v130(constB39, 1)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6444, 841, 6297])).
% 27.46/17.99 tff(6446,plain,
% 27.46/17.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB39) | (~v130(constB39, 1)) | v127(constB39, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB39) | (~v130(constB39, 1)) | v127(constB39, 1))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6447,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB39) | (~v130(constB39, 1)) | v127(constB39, 1))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6448,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB39) | (~v130(constB39, 1)) | v127(constB39, 1)),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6447, 6446])).
% 27.46/17.99 tff(6449,plain,
% 27.46/17.99 ((~v130(constB39, 1)) | v127(constB39, 1)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6448, 855, 6340])).
% 27.46/17.99 tff(6450,plain,
% 27.46/17.99 (v127(constB39, 1)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6449, 6445])).
% 27.46/17.99 tff(6451,plain,
% 27.46/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB39, constB40)) | (~v127(constB39, 1)) | v129(constB40, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB39, constB40)) | (~v127(constB39, 1)) | v129(constB40, 1))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6452,plain,
% 27.46/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB39, constB40)) | (~v127(constB39, 1)) | v129(constB40, 1))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6453,plain,
% 27.46/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB39, constB40)) | (~v127(constB39, 1)) | v129(constB40, 1)),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6452, 6451])).
% 27.46/17.99 tff(6454,plain,
% 27.46/17.99 ((~v127(constB39, 1)) | v129(constB40, 1)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6453, 870, 6358])).
% 27.46/17.99 tff(6455,plain,
% 27.46/17.99 (v129(constB40, 1)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6454, 6450])).
% 27.46/17.99 tff(6456,plain,
% 27.46/17.99 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB40, 1) | (~v129(constB40, 1)) | (~v100(constB40)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB40, 1) | (~v129(constB40, 1)) | (~v100(constB40)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6457,plain,
% 27.46/17.99 ((v90(constB40, 1) | (~v100(constB40)) | (~v129(constB40, 1))) <=> (v90(constB40, 1) | (~v129(constB40, 1)) | (~v100(constB40)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6458,plain,
% 27.46/17.99 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB40, 1) | (~v100(constB40)) | (~v129(constB40, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB40, 1) | (~v129(constB40, 1)) | (~v100(constB40))))),
% 27.46/17.99 inference(monotonicity,[status(thm)],[6457])).
% 27.46/17.99 tff(6459,plain,
% 27.46/17.99 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB40, 1) | (~v100(constB40)) | (~v129(constB40, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB40, 1) | (~v129(constB40, 1)) | (~v100(constB40)))),
% 27.46/17.99 inference(transitivity,[status(thm)],[6458, 6456])).
% 27.46/17.99 tff(6460,plain,
% 27.46/17.99 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB40, 1) | (~v100(constB40)) | (~v129(constB40, 1)))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6461,plain,
% 27.46/17.99 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB40, 1) | (~v129(constB40, 1)) | (~v100(constB40))),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6460, 6459])).
% 27.46/17.99 tff(6462,plain,
% 27.46/17.99 (v90(constB40, 1) | (~v100(constB40))),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6461, 885, 6455])).
% 27.46/17.99 tff(6463,plain,
% 27.46/17.99 (v90(constB40, 1)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6462, 6392])).
% 27.46/17.99 tff(6464,plain,
% 27.46/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB40, 1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB40, 1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 1))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6465,plain,
% 27.46/17.99 (((~nextState(constB40, constB41)) | (~v90(constB40, 1)) | v100(constB41) | v90(constB41, 1)) <=> ((~v90(constB40, 1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 1))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6466,plain,
% 27.46/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, 1)) | v100(constB41) | v90(constB41, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB40, 1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 1)))),
% 27.46/17.99 inference(monotonicity,[status(thm)],[6465])).
% 27.46/17.99 tff(6467,plain,
% 27.46/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, 1)) | v100(constB41) | v90(constB41, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB40, 1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 1))),
% 27.46/17.99 inference(transitivity,[status(thm)],[6466, 6464])).
% 27.46/17.99 tff(6468,plain,
% 27.46/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, 1)) | v100(constB41) | v90(constB41, 1))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6469,plain,
% 27.46/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB40, 1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 1)),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6468, 6467])).
% 27.46/17.99 tff(6470,plain,
% 27.46/17.99 ((~v90(constB40, 1)) | v100(constB41) | v90(constB41, 1)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6469, 903, 6420])).
% 27.46/17.99 tff(6471,plain,
% 27.46/17.99 ((~v90(constB40, 1)) | v90(constB41, 1)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6470, 6432])).
% 27.46/17.99 tff(6472,plain,
% 27.46/17.99 (v90(constB41, 1)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6471, 6463])).
% 27.46/17.99 tff(6473,plain,
% 27.46/17.99 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB39)) | (~v130(constB39, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB39)) | (~v130(constB39, 0)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6474,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB39)) | (~v130(constB39, 0)))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6475,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB39)) | (~v130(constB39, 0))),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6474, 6473])).
% 27.46/17.99 tff(6476,plain,
% 27.46/17.99 (~v130(constB39, 0)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6475, 919, 6297])).
% 27.46/17.99 tff(6477,plain,
% 27.46/17.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB39, 0)) | v26(constB39) | v130(constB39, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB39, 0)) | v26(constB39) | v130(constB39, 0))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6478,plain,
% 27.46/17.99 ((v26(constB39) | v130(constB39, 0) | (~v127(constB39, 0))) <=> ((~v127(constB39, 0)) | v26(constB39) | v130(constB39, 0))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6479,plain,
% 27.46/17.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB39) | v130(constB39, 0) | (~v127(constB39, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB39, 0)) | v26(constB39) | v130(constB39, 0)))),
% 27.46/17.99 inference(monotonicity,[status(thm)],[6478])).
% 27.46/17.99 tff(6480,plain,
% 27.46/17.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB39) | v130(constB39, 0) | (~v127(constB39, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB39, 0)) | v26(constB39) | v130(constB39, 0))),
% 27.46/17.99 inference(transitivity,[status(thm)],[6479, 6477])).
% 27.46/17.99 tff(6481,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB39) | v130(constB39, 0) | (~v127(constB39, 0)))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6482,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB39, 0)) | v26(constB39) | v130(constB39, 0)),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6481, 6480])).
% 27.46/17.99 tff(6483,plain,
% 27.46/17.99 ((~v127(constB39, 0)) | v130(constB39, 0)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6482, 933, 6340])).
% 27.46/17.99 tff(6484,plain,
% 27.46/17.99 (~v127(constB39, 0)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6483, 6476])).
% 27.46/17.99 tff(6485,plain,
% 27.46/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB39, constB40)) | v127(constB39, 0) | (~v129(constB40, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB39, constB40)) | v127(constB39, 0) | (~v129(constB40, 0)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6486,plain,
% 27.46/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB39, constB40)) | v127(constB39, 0) | (~v129(constB40, 0)))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6487,plain,
% 27.46/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB39, constB40)) | v127(constB39, 0) | (~v129(constB40, 0))),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6486, 6485])).
% 27.46/17.99 tff(6488,plain,
% 27.46/17.99 (v127(constB39, 0) | (~v129(constB40, 0))),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6487, 951, 6358])).
% 27.46/17.99 tff(6489,plain,
% 27.46/17.99 (~v129(constB40, 0)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6488, 6484])).
% 27.46/17.99 tff(6490,plain,
% 27.46/17.99 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB40, 0)) | v129(constB40, 0) | (~v100(constB40)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB40, 0)) | v129(constB40, 0) | (~v100(constB40)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6491,plain,
% 27.46/17.99 (((~v90(constB40, 0)) | (~v100(constB40)) | v129(constB40, 0)) <=> ((~v90(constB40, 0)) | v129(constB40, 0) | (~v100(constB40)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6492,plain,
% 27.46/17.99 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB40, 0)) | (~v100(constB40)) | v129(constB40, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB40, 0)) | v129(constB40, 0) | (~v100(constB40))))),
% 27.46/17.99 inference(monotonicity,[status(thm)],[6491])).
% 27.46/17.99 tff(6493,plain,
% 27.46/17.99 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB40, 0)) | (~v100(constB40)) | v129(constB40, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB40, 0)) | v129(constB40, 0) | (~v100(constB40)))),
% 27.46/17.99 inference(transitivity,[status(thm)],[6492, 6490])).
% 27.46/17.99 tff(6494,plain,
% 27.46/17.99 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB40, 0)) | (~v100(constB40)) | v129(constB40, 0))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6495,plain,
% 27.46/17.99 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB40, 0)) | v129(constB40, 0) | (~v100(constB40))),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6494, 6493])).
% 27.46/17.99 tff(6496,plain,
% 27.46/17.99 ((~v90(constB40, 0)) | (~v100(constB40))),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6495, 966, 6489])).
% 27.46/17.99 tff(6497,plain,
% 27.46/17.99 (~v90(constB40, 0)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6496, 6392])).
% 27.46/17.99 tff(6498,plain,
% 27.46/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB40, 0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB40, 0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 0)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6499,plain,
% 27.46/17.99 (((~nextState(constB40, constB41)) | v90(constB40, 0) | v100(constB41) | (~v90(constB41, 0))) <=> (v90(constB40, 0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 0)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6500,plain,
% 27.46/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB40, constB41)) | v90(constB40, 0) | v100(constB41) | (~v90(constB41, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB40, 0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 0))))),
% 27.46/17.99 inference(monotonicity,[status(thm)],[6499])).
% 27.46/17.99 tff(6501,plain,
% 27.46/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB40, constB41)) | v90(constB40, 0) | v100(constB41) | (~v90(constB41, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB40, 0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 0)))),
% 27.46/17.99 inference(transitivity,[status(thm)],[6500, 6498])).
% 27.46/17.99 tff(6502,plain,
% 27.46/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB40, constB41)) | v90(constB40, 0) | v100(constB41) | (~v90(constB41, 0)))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6503,plain,
% 27.46/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB40, 0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 0))),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6502, 6501])).
% 27.46/17.99 tff(6504,plain,
% 27.46/17.99 (v90(constB40, 0) | v100(constB41) | (~v90(constB41, 0))),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6503, 212, 6420])).
% 27.46/17.99 tff(6505,plain,
% 27.46/17.99 (v90(constB40, 0) | (~v90(constB41, 0))),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6504, 6432])).
% 27.46/17.99 tff(6506,plain,
% 27.46/17.99 (~v90(constB41, 0)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6505, 6497])).
% 27.46/17.99 tff(6507,plain,
% 27.46/17.99 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB41, 0) | (~v90(constB41, 1)) | v90(constB41, 2) | v121(constB41))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB41, 0) | (~v90(constB41, 1)) | v90(constB41, 2) | v121(constB41))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6508,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB41, 0) | (~v90(constB41, 1)) | v90(constB41, 2) | v121(constB41))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6509,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB41, 0) | (~v90(constB41, 1)) | v90(constB41, 2) | v121(constB41)),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6508, 6507])).
% 27.46/17.99 tff(6510,plain,
% 27.46/17.99 (v121(constB41)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6509, 993, 6506, 6472, 6441])).
% 27.46/17.99 tff(6511,plain,
% 27.46/17.99 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB41)) | v117(constB41))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB41)) | v117(constB41))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6512,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB41)) | v117(constB41))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6513,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB41)) | v117(constB41)),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6512, 6511])).
% 27.46/17.99 tff(6514,plain,
% 27.46/17.99 (v117(constB41)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6513, 1004, 6510])).
% 27.46/17.99 tff(6515,plain,
% 27.46/17.99 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB41) | (~v117(constB41)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB41) | (~v117(constB41)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6516,plain,
% 27.46/17.99 (((~v117(constB41)) | v116(constB41)) <=> (v116(constB41) | (~v117(constB41)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6517,plain,
% 27.46/17.99 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB41)) | v116(constB41))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB41) | (~v117(constB41))))),
% 27.46/17.99 inference(monotonicity,[status(thm)],[6516])).
% 27.46/17.99 tff(6518,plain,
% 27.46/17.99 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB41)) | v116(constB41))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB41) | (~v117(constB41)))),
% 27.46/17.99 inference(transitivity,[status(thm)],[6517, 6515])).
% 27.46/17.99 tff(6519,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB41)) | v116(constB41))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6520,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB41) | (~v117(constB41))),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6519, 6518])).
% 27.46/17.99 tff(6521,plain,
% 27.46/17.99 (v116(constB41)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6520, 272, 6514])).
% 27.46/17.99 tff(6522,plain,
% 27.46/17.99 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB41)) | v115(constB41))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB41)) | v115(constB41))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6523,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB41)) | v115(constB41))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6524,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB41)) | v115(constB41)),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6523, 6522])).
% 27.46/17.99 tff(6525,plain,
% 27.46/17.99 (v115(constB41)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6524, 286, 6521])).
% 27.46/17.99 tff(6526,plain,
% 27.46/17.99 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB41) | (~v115(constB41)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB41) | (~v115(constB41)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6527,plain,
% 27.46/17.99 (((~v115(constB41)) | v114(constB41)) <=> (v114(constB41) | (~v115(constB41)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6528,plain,
% 27.46/17.99 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB41)) | v114(constB41))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB41) | (~v115(constB41))))),
% 27.46/17.99 inference(monotonicity,[status(thm)],[6527])).
% 27.46/17.99 tff(6529,plain,
% 27.46/17.99 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB41)) | v114(constB41))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB41) | (~v115(constB41)))),
% 27.46/17.99 inference(transitivity,[status(thm)],[6528, 6526])).
% 27.46/17.99 tff(6530,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB41)) | v114(constB41))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6531,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB41) | (~v115(constB41))),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6530, 6529])).
% 27.46/17.99 tff(6532,plain,
% 27.46/17.99 (v114(constB41)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6531, 300, 6525])).
% 27.46/17.99 tff(6533,plain,
% 27.46/17.99 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB41) | (~v114(constB41)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB41) | (~v114(constB41)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6534,plain,
% 27.46/17.99 (((~v114(constB41)) | v113(constB41)) <=> (v113(constB41) | (~v114(constB41)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6535,plain,
% 27.46/17.99 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB41)) | v113(constB41))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB41) | (~v114(constB41))))),
% 27.46/17.99 inference(monotonicity,[status(thm)],[6534])).
% 27.46/17.99 tff(6536,plain,
% 27.46/17.99 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB41)) | v113(constB41))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB41) | (~v114(constB41)))),
% 27.46/17.99 inference(transitivity,[status(thm)],[6535, 6533])).
% 27.46/17.99 tff(6537,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB41)) | v113(constB41))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6538,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB41) | (~v114(constB41))),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6537, 6536])).
% 27.46/17.99 tff(6539,plain,
% 27.46/17.99 (v113(constB41)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6538, 314, 6532])).
% 27.46/17.99 tff(6540,assumption,(v26(constB41)), introduced(assumption)).
% 27.46/17.99 tff(6541,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB41))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6542,plain,
% 27.46/17.99 ($false),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6541, 95, 6540])).
% 27.46/17.99 tff(6543,plain,(~v26(constB41)), inference(lemma,lemma(discharge,[]))).
% 27.46/17.99 tff(6544,plain,
% 27.46/17.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB41) | (~v113(constB41)) | v112(constB41))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB41) | (~v113(constB41)) | v112(constB41))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6545,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB41) | (~v113(constB41)) | v112(constB41))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6546,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB41) | (~v113(constB41)) | v112(constB41)),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6545, 6544])).
% 27.46/17.99 tff(6547,plain,
% 27.46/17.99 ((~v113(constB41)) | v112(constB41)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6546, 328, 6543])).
% 27.46/17.99 tff(6548,plain,
% 27.46/17.99 (v112(constB41)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6547, 6539])).
% 27.46/17.99 tff(6549,plain,
% 27.46/17.99 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB41) | (~v112(constB41)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB41) | (~v112(constB41)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6550,plain,
% 27.46/17.99 (((~v112(constB41)) | v108(constB41)) <=> (v108(constB41) | (~v112(constB41)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6551,plain,
% 27.46/17.99 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB41)) | v108(constB41))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB41) | (~v112(constB41))))),
% 27.46/17.99 inference(monotonicity,[status(thm)],[6550])).
% 27.46/17.99 tff(6552,plain,
% 27.46/17.99 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB41)) | v108(constB41))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB41) | (~v112(constB41)))),
% 27.46/17.99 inference(transitivity,[status(thm)],[6551, 6549])).
% 27.46/17.99 tff(6553,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB41)) | v108(constB41))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6554,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB41) | (~v112(constB41))),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6553, 6552])).
% 27.46/17.99 tff(6555,plain,
% 27.46/17.99 (v108(constB41)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6554, 340, 6548])).
% 27.46/17.99 tff(6556,plain,
% 27.46/17.99 (nextState(constB41, constB42) <=> nextState(constB41, constB42)),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6557,axiom,(nextState(constB41, constB42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_41_1')).
% 27.46/17.99 tff(6558,plain,
% 27.46/17.99 (nextState(constB41, constB42)),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6557, 6556])).
% 27.46/17.99 tff(6559,plain,
% 27.46/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6560,plain,
% 27.46/17.99 (((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42)) <=> ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6561,plain,
% 27.46/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41))))),
% 27.46/17.99 inference(monotonicity,[status(thm)],[6560])).
% 27.46/17.99 tff(6562,plain,
% 27.46/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 27.46/17.99 inference(transitivity,[status(thm)],[6561, 6559])).
% 27.46/17.99 tff(6563,plain,
% 27.46/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6564,plain,
% 27.46/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41))),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6563, 6562])).
% 27.46/17.99 tff(6565,plain,
% 27.46/17.99 (v110(constB42) | (~v108(constB41))),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6564, 360, 6558])).
% 27.46/17.99 tff(6566,plain,
% 27.46/17.99 (v110(constB42)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6565, 6555])).
% 27.46/17.99 tff(6567,plain,
% 27.46/17.99 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6568,plain,
% 27.46/17.99 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6569,plain,
% 27.46/17.99 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42))),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6568, 6567])).
% 27.46/17.99 tff(6570,plain,
% 27.46/17.99 (~v104(constB42)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6569, 378, 6558, 6417])).
% 27.46/17.99 tff(6571,plain,
% 27.46/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6572,plain,
% 27.46/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6573,plain,
% 27.46/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB41, constB42)) | v102(constB42) | v104(constB42)),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6572, 6571])).
% 27.46/17.99 tff(6574,plain,
% 27.46/17.99 (v102(constB42) | v104(constB42)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6573, 392, 6558])).
% 27.46/17.99 tff(6575,plain,
% 27.46/17.99 (v102(constB42)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6574, 6570])).
% 27.46/17.99 tff(6576,plain,
% 27.46/17.99 (v1(constB42) <=> v1(constB42)),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6577,axiom,(v1(constB42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_42_1')).
% 27.46/17.99 tff(6578,plain,
% 27.46/17.99 (v1(constB42)),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6577, 6576])).
% 27.46/17.99 tff(6579,plain,
% 27.46/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6580,plain,
% 27.46/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6581,plain,
% 27.46/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42))),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6580, 6579])).
% 27.46/17.99 tff(6582,plain,
% 27.46/17.99 (v101(constB42) | (~v102(constB42))),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6581, 410, 6558, 6578])).
% 27.46/17.99 tff(6583,plain,
% 27.46/17.99 (v101(constB42)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6582, 6575])).
% 27.46/17.99 tff(6584,plain,
% 27.46/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6585,plain,
% 27.46/17.99 (((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42)) <=> ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6586,plain,
% 27.46/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42))))),
% 27.46/17.99 inference(monotonicity,[status(thm)],[6585])).
% 27.46/17.99 tff(6587,plain,
% 27.46/17.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 27.46/17.99 inference(transitivity,[status(thm)],[6586, 6584])).
% 27.46/17.99 tff(6588,plain,
% 27.46/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6589,plain,
% 27.46/17.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42))),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6588, 6587])).
% 27.46/17.99 tff(6590,plain,
% 27.46/17.99 (v100(constB42) | (~v101(constB42)) | (~v110(constB42))),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6589, 425, 6558])).
% 27.46/17.99 tff(6591,plain,
% 27.46/17.99 (v100(constB42) | (~v110(constB42))),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6590, 6583])).
% 27.46/17.99 tff(6592,plain,
% 27.46/17.99 (v100(constB42)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6591, 6566])).
% 27.46/17.99 tff(6593,plain,
% 27.46/17.99 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB41)) | (~v130(constB41, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB41)) | (~v130(constB41, 2)))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6594,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB41)) | (~v130(constB41, 2)))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6595,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB41)) | (~v130(constB41, 2))),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6594, 6593])).
% 27.46/17.99 tff(6596,plain,
% 27.46/17.99 (~v130(constB41, 2)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6595, 1155, 6510])).
% 27.46/17.99 tff(6597,plain,
% 27.46/17.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB41, 2)) | v26(constB41) | v130(constB41, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB41, 2)) | v26(constB41) | v130(constB41, 2))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6598,plain,
% 27.46/17.99 ((v26(constB41) | v130(constB41, 2) | (~v127(constB41, 2))) <=> ((~v127(constB41, 2)) | v26(constB41) | v130(constB41, 2))),
% 27.46/17.99 inference(rewrite,[status(thm)],[])).
% 27.46/17.99 tff(6599,plain,
% 27.46/17.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB41) | v130(constB41, 2) | (~v127(constB41, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB41, 2)) | v26(constB41) | v130(constB41, 2)))),
% 27.46/17.99 inference(monotonicity,[status(thm)],[6598])).
% 27.46/17.99 tff(6600,plain,
% 27.46/17.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB41) | v130(constB41, 2) | (~v127(constB41, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB41, 2)) | v26(constB41) | v130(constB41, 2))),
% 27.46/17.99 inference(transitivity,[status(thm)],[6599, 6597])).
% 27.46/17.99 tff(6601,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB41) | v130(constB41, 2) | (~v127(constB41, 2)))),
% 27.46/17.99 inference(quant_inst,[status(thm)],[])).
% 27.46/17.99 tff(6602,plain,
% 27.46/17.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB41, 2)) | v26(constB41) | v130(constB41, 2)),
% 27.46/17.99 inference(modus_ponens,[status(thm)],[6601, 6600])).
% 27.46/17.99 tff(6603,plain,
% 27.46/17.99 ((~v127(constB41, 2)) | v130(constB41, 2)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6602, 455, 6543])).
% 27.46/17.99 tff(6604,plain,
% 27.46/17.99 (~v127(constB41, 2)),
% 27.46/17.99 inference(unit_resolution,[status(thm)],[6603, 6596])).
% 27.46/18.00 tff(6605,plain,
% 27.46/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB41, constB42)) | v127(constB41, 2) | (~v129(constB42, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB41, constB42)) | v127(constB41, 2) | (~v129(constB42, 2)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6606,plain,
% 27.46/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB41, constB42)) | v127(constB41, 2) | (~v129(constB42, 2)))),
% 27.46/18.00 inference(quant_inst,[status(thm)],[])).
% 27.46/18.00 tff(6607,plain,
% 27.46/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB41, constB42)) | v127(constB41, 2) | (~v129(constB42, 2))),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6606, 6605])).
% 27.46/18.00 tff(6608,plain,
% 27.46/18.00 (v127(constB41, 2) | (~v129(constB42, 2))),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6607, 473, 6558])).
% 27.46/18.00 tff(6609,plain,
% 27.46/18.00 (~v129(constB42, 2)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6608, 6604])).
% 27.46/18.00 tff(6610,plain,
% 27.46/18.00 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB42, 2)) | v129(constB42, 2) | (~v100(constB42)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB42, 2)) | v129(constB42, 2) | (~v100(constB42)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6611,plain,
% 27.46/18.00 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB42, 2)) | v129(constB42, 2) | (~v100(constB42)))),
% 27.46/18.00 inference(quant_inst,[status(thm)],[])).
% 27.46/18.00 tff(6612,plain,
% 27.46/18.00 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB42, 2)) | v129(constB42, 2) | (~v100(constB42))),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6611, 6610])).
% 27.46/18.00 tff(6613,plain,
% 27.46/18.00 ((~v90(constB42, 2)) | (~v100(constB42))),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6612, 488, 6609])).
% 27.46/18.00 tff(6614,plain,
% 27.46/18.00 (~v90(constB42, 2)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6613, 6592])).
% 27.46/18.00 tff(6615,plain,
% 27.46/18.00 ((~v1(constB43)) <=> (~v1(constB43))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6616,axiom,(~v1(constB43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_43_1_1')).
% 27.46/18.00 tff(6617,plain,
% 27.46/18.00 (~v1(constB43)),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6616, 6615])).
% 27.46/18.00 tff(6618,plain,
% 27.46/18.00 (nextState(constB42, constB43) <=> nextState(constB42, constB43)),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6619,axiom,(nextState(constB42, constB43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_42_1')).
% 27.46/18.00 tff(6620,plain,
% 27.46/18.00 (nextState(constB42, constB43)),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6619, 6618])).
% 27.46/18.00 tff(6621,plain,
% 27.46/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6622,plain,
% 27.46/18.00 (((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43)) <=> (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6623,plain,
% 27.46/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43))))),
% 27.46/18.00 inference(monotonicity,[status(thm)],[6622])).
% 27.46/18.00 tff(6624,plain,
% 27.46/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 27.46/18.00 inference(transitivity,[status(thm)],[6623, 6621])).
% 27.46/18.00 tff(6625,plain,
% 27.46/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))),
% 27.46/18.00 inference(quant_inst,[status(thm)],[])).
% 27.46/18.00 tff(6626,plain,
% 27.46/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43))),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6625, 6624])).
% 27.46/18.00 tff(6627,plain,
% 27.46/18.00 (~v101(constB43)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6626, 138, 6620, 6617])).
% 27.46/18.00 tff(6628,plain,
% 27.46/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6629,plain,
% 27.46/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))),
% 27.46/18.00 inference(quant_inst,[status(thm)],[])).
% 27.46/18.00 tff(6630,plain,
% 27.46/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43))),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6629, 6628])).
% 27.46/18.00 tff(6631,plain,
% 27.46/18.00 (v101(constB43) | (~v100(constB43))),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6630, 155, 6620])).
% 27.46/18.00 tff(6632,plain,
% 27.46/18.00 (~v100(constB43)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6631, 6627])).
% 27.46/18.00 tff(6633,plain,
% 27.46/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB42, 2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB42, 2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 2)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6634,plain,
% 27.46/18.00 (((~nextState(constB42, constB43)) | v90(constB42, 2) | v100(constB43) | (~v90(constB43, 2))) <=> (v90(constB42, 2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 2)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6635,plain,
% 27.46/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB42, constB43)) | v90(constB42, 2) | v100(constB43) | (~v90(constB43, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB42, 2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 2))))),
% 27.46/18.00 inference(monotonicity,[status(thm)],[6634])).
% 27.46/18.00 tff(6636,plain,
% 27.46/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB42, constB43)) | v90(constB42, 2) | v100(constB43) | (~v90(constB43, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB42, 2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 2)))),
% 27.46/18.00 inference(transitivity,[status(thm)],[6635, 6633])).
% 27.46/18.00 tff(6637,plain,
% 27.46/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB42, constB43)) | v90(constB42, 2) | v100(constB43) | (~v90(constB43, 2)))),
% 27.46/18.00 inference(quant_inst,[status(thm)],[])).
% 27.46/18.00 tff(6638,plain,
% 27.46/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB42, 2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 2))),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6637, 6636])).
% 27.46/18.00 tff(6639,plain,
% 27.46/18.00 (v90(constB42, 2) | v100(constB43) | (~v90(constB43, 2))),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6638, 170, 6620])).
% 27.46/18.00 tff(6640,plain,
% 27.46/18.00 (v90(constB42, 2) | (~v90(constB43, 2))),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6639, 6632])).
% 27.46/18.00 tff(6641,plain,
% 27.46/18.00 (~v90(constB43, 2)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6640, 6614])).
% 27.46/18.00 tff(6642,plain,
% 27.46/18.00 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB41)) | v130(constB41, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB41)) | v130(constB41, 1))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6643,plain,
% 27.46/18.00 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB41)) | v130(constB41, 1))),
% 27.46/18.00 inference(quant_inst,[status(thm)],[])).
% 27.46/18.00 tff(6644,plain,
% 27.46/18.00 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB41)) | v130(constB41, 1)),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6643, 6642])).
% 27.46/18.00 tff(6645,plain,
% 27.46/18.00 (v130(constB41, 1)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6644, 1235, 6510])).
% 27.46/18.00 tff(6646,plain,
% 27.46/18.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB41) | (~v130(constB41, 1)) | v127(constB41, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB41) | (~v130(constB41, 1)) | v127(constB41, 1))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6647,plain,
% 27.46/18.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB41) | (~v130(constB41, 1)) | v127(constB41, 1))),
% 27.46/18.00 inference(quant_inst,[status(thm)],[])).
% 27.46/18.00 tff(6648,plain,
% 27.46/18.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB41) | (~v130(constB41, 1)) | v127(constB41, 1)),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6647, 6646])).
% 27.46/18.00 tff(6649,plain,
% 27.46/18.00 ((~v130(constB41, 1)) | v127(constB41, 1)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6648, 855, 6543])).
% 27.46/18.00 tff(6650,plain,
% 27.46/18.00 (v127(constB41, 1)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6649, 6645])).
% 27.46/18.00 tff(6651,plain,
% 27.46/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB41, constB42)) | (~v127(constB41, 1)) | v129(constB42, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB41, constB42)) | (~v127(constB41, 1)) | v129(constB42, 1))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6652,plain,
% 27.46/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB41, constB42)) | (~v127(constB41, 1)) | v129(constB42, 1))),
% 27.46/18.00 inference(quant_inst,[status(thm)],[])).
% 27.46/18.00 tff(6653,plain,
% 27.46/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB41, constB42)) | (~v127(constB41, 1)) | v129(constB42, 1)),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6652, 6651])).
% 27.46/18.00 tff(6654,plain,
% 27.46/18.00 ((~v127(constB41, 1)) | v129(constB42, 1)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6653, 870, 6558])).
% 27.46/18.00 tff(6655,plain,
% 27.46/18.00 (v129(constB42, 1)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6654, 6650])).
% 27.46/18.00 tff(6656,plain,
% 27.46/18.00 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB42, 1) | (~v129(constB42, 1)) | (~v100(constB42)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB42, 1) | (~v129(constB42, 1)) | (~v100(constB42)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6657,plain,
% 27.46/18.00 ((v90(constB42, 1) | (~v100(constB42)) | (~v129(constB42, 1))) <=> (v90(constB42, 1) | (~v129(constB42, 1)) | (~v100(constB42)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6658,plain,
% 27.46/18.00 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB42, 1) | (~v100(constB42)) | (~v129(constB42, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB42, 1) | (~v129(constB42, 1)) | (~v100(constB42))))),
% 27.46/18.00 inference(monotonicity,[status(thm)],[6657])).
% 27.46/18.00 tff(6659,plain,
% 27.46/18.00 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB42, 1) | (~v100(constB42)) | (~v129(constB42, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB42, 1) | (~v129(constB42, 1)) | (~v100(constB42)))),
% 27.46/18.00 inference(transitivity,[status(thm)],[6658, 6656])).
% 27.46/18.00 tff(6660,plain,
% 27.46/18.00 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB42, 1) | (~v100(constB42)) | (~v129(constB42, 1)))),
% 27.46/18.00 inference(quant_inst,[status(thm)],[])).
% 27.46/18.00 tff(6661,plain,
% 27.46/18.00 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB42, 1) | (~v129(constB42, 1)) | (~v100(constB42))),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6660, 6659])).
% 27.46/18.00 tff(6662,plain,
% 27.46/18.00 (v90(constB42, 1) | (~v100(constB42))),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6661, 885, 6655])).
% 27.46/18.00 tff(6663,plain,
% 27.46/18.00 (v90(constB42, 1)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6662, 6592])).
% 27.46/18.00 tff(6664,plain,
% 27.46/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB42, 1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB42, 1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 1))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6665,plain,
% 27.46/18.00 (((~nextState(constB42, constB43)) | (~v90(constB42, 1)) | v100(constB43) | v90(constB43, 1)) <=> ((~v90(constB42, 1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 1))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6666,plain,
% 27.46/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB42, constB43)) | (~v90(constB42, 1)) | v100(constB43) | v90(constB43, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB42, 1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 1)))),
% 27.46/18.00 inference(monotonicity,[status(thm)],[6665])).
% 27.46/18.00 tff(6667,plain,
% 27.46/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB42, constB43)) | (~v90(constB42, 1)) | v100(constB43) | v90(constB43, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB42, 1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 1))),
% 27.46/18.00 inference(transitivity,[status(thm)],[6666, 6664])).
% 27.46/18.00 tff(6668,plain,
% 27.46/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB42, constB43)) | (~v90(constB42, 1)) | v100(constB43) | v90(constB43, 1))),
% 27.46/18.00 inference(quant_inst,[status(thm)],[])).
% 27.46/18.00 tff(6669,plain,
% 27.46/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB42, 1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 1)),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6668, 6667])).
% 27.46/18.00 tff(6670,plain,
% 27.46/18.00 ((~v90(constB42, 1)) | v100(constB43) | v90(constB43, 1)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6669, 903, 6620])).
% 27.46/18.00 tff(6671,plain,
% 27.46/18.00 ((~v90(constB42, 1)) | v90(constB43, 1)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6670, 6632])).
% 27.46/18.00 tff(6672,plain,
% 27.46/18.00 (v90(constB43, 1)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6671, 6663])).
% 27.46/18.00 tff(6673,plain,
% 27.46/18.00 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB41)) | v130(constB41, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB41)) | v130(constB41, 0))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6674,plain,
% 27.46/18.00 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB41)) | v130(constB41, 0))),
% 27.46/18.00 inference(quant_inst,[status(thm)],[])).
% 27.46/18.00 tff(6675,plain,
% 27.46/18.00 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB41)) | v130(constB41, 0)),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6674, 6673])).
% 27.46/18.00 tff(6676,plain,
% 27.46/18.00 (v130(constB41, 0)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6675, 1099, 6510])).
% 27.46/18.00 tff(6677,plain,
% 27.46/18.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB41) | (~v130(constB41, 0)) | v127(constB41, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB41) | (~v130(constB41, 0)) | v127(constB41, 0))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6678,plain,
% 27.46/18.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB41) | (~v130(constB41, 0)) | v127(constB41, 0))),
% 27.46/18.00 inference(quant_inst,[status(thm)],[])).
% 27.46/18.00 tff(6679,plain,
% 27.46/18.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB41) | (~v130(constB41, 0)) | v127(constB41, 0)),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6678, 6677])).
% 27.46/18.00 tff(6680,plain,
% 27.46/18.00 ((~v130(constB41, 0)) | v127(constB41, 0)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6679, 612, 6543])).
% 27.46/18.00 tff(6681,plain,
% 27.46/18.00 (v127(constB41, 0)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6680, 6676])).
% 27.46/18.00 tff(6682,plain,
% 27.46/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB41, constB42)) | (~v127(constB41, 0)) | v129(constB42, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB41, constB42)) | (~v127(constB41, 0)) | v129(constB42, 0))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6683,plain,
% 27.46/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB41, constB42)) | (~v127(constB41, 0)) | v129(constB42, 0))),
% 27.46/18.00 inference(quant_inst,[status(thm)],[])).
% 27.46/18.00 tff(6684,plain,
% 27.46/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB41, constB42)) | (~v127(constB41, 0)) | v129(constB42, 0)),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6683, 6682])).
% 27.46/18.00 tff(6685,plain,
% 27.46/18.00 ((~v127(constB41, 0)) | v129(constB42, 0)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6684, 627, 6558])).
% 27.46/18.00 tff(6686,plain,
% 27.46/18.00 (v129(constB42, 0)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6685, 6681])).
% 27.46/18.00 tff(6687,plain,
% 27.46/18.00 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB42, 0) | (~v129(constB42, 0)) | (~v100(constB42)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB42, 0) | (~v129(constB42, 0)) | (~v100(constB42)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6688,plain,
% 27.46/18.00 ((v90(constB42, 0) | (~v100(constB42)) | (~v129(constB42, 0))) <=> (v90(constB42, 0) | (~v129(constB42, 0)) | (~v100(constB42)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6689,plain,
% 27.46/18.00 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB42, 0) | (~v100(constB42)) | (~v129(constB42, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB42, 0) | (~v129(constB42, 0)) | (~v100(constB42))))),
% 27.46/18.00 inference(monotonicity,[status(thm)],[6688])).
% 27.46/18.00 tff(6690,plain,
% 27.46/18.00 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB42, 0) | (~v100(constB42)) | (~v129(constB42, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB42, 0) | (~v129(constB42, 0)) | (~v100(constB42)))),
% 27.46/18.00 inference(transitivity,[status(thm)],[6689, 6687])).
% 27.46/18.00 tff(6691,plain,
% 27.46/18.00 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB42, 0) | (~v100(constB42)) | (~v129(constB42, 0)))),
% 27.46/18.00 inference(quant_inst,[status(thm)],[])).
% 27.46/18.00 tff(6692,plain,
% 27.46/18.00 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB42, 0) | (~v129(constB42, 0)) | (~v100(constB42))),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6691, 6690])).
% 27.46/18.00 tff(6693,plain,
% 27.46/18.00 (v90(constB42, 0) | (~v100(constB42))),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6692, 642, 6686])).
% 27.46/18.00 tff(6694,plain,
% 27.46/18.00 (v90(constB42, 0)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6693, 6592])).
% 27.46/18.00 tff(6695,plain,
% 27.46/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB42, 0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB42, 0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 0))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6696,plain,
% 27.46/18.00 (((~nextState(constB42, constB43)) | (~v90(constB42, 0)) | v100(constB43) | v90(constB43, 0)) <=> ((~v90(constB42, 0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 0))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6697,plain,
% 27.46/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB42, constB43)) | (~v90(constB42, 0)) | v100(constB43) | v90(constB43, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB42, 0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 0)))),
% 27.46/18.00 inference(monotonicity,[status(thm)],[6696])).
% 27.46/18.00 tff(6698,plain,
% 27.46/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB42, constB43)) | (~v90(constB42, 0)) | v100(constB43) | v90(constB43, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB42, 0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 0))),
% 27.46/18.00 inference(transitivity,[status(thm)],[6697, 6695])).
% 27.46/18.00 tff(6699,plain,
% 27.46/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB42, constB43)) | (~v90(constB42, 0)) | v100(constB43) | v90(constB43, 0))),
% 27.46/18.00 inference(quant_inst,[status(thm)],[])).
% 27.46/18.00 tff(6700,plain,
% 27.46/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB42, 0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 0)),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6699, 6698])).
% 27.46/18.00 tff(6701,plain,
% 27.46/18.00 ((~v90(constB42, 0)) | v100(constB43) | v90(constB43, 0)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6700, 660, 6620])).
% 27.46/18.00 tff(6702,plain,
% 27.46/18.00 ((~v90(constB42, 0)) | v90(constB43, 0)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6701, 6632])).
% 27.46/18.00 tff(6703,plain,
% 27.46/18.00 (v90(constB43, 0)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6702, 6694])).
% 27.46/18.00 tff(6704,plain,
% 27.46/18.00 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB43, 0)) | (~v90(constB43, 1)) | v90(constB43, 2) | v122(constB43))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB43, 0)) | (~v90(constB43, 1)) | v90(constB43, 2) | v122(constB43))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6705,plain,
% 27.46/18.00 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB43, 0)) | (~v90(constB43, 1)) | v90(constB43, 2) | v122(constB43))),
% 27.46/18.00 inference(quant_inst,[status(thm)],[])).
% 27.46/18.00 tff(6706,plain,
% 27.46/18.00 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB43, 0)) | (~v90(constB43, 1)) | v90(constB43, 2) | v122(constB43)),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6705, 6704])).
% 27.46/18.00 tff(6707,plain,
% 27.46/18.00 (v122(constB43)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6706, 1260, 6703, 6672, 6641])).
% 27.46/18.00 tff(6708,plain,
% 27.46/18.00 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB43) | (~v122(constB43)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB43) | (~v122(constB43)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6709,plain,
% 27.46/18.00 (((~v122(constB43)) | v116(constB43)) <=> (v116(constB43) | (~v122(constB43)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6710,plain,
% 27.46/18.00 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB43)) | v116(constB43))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB43) | (~v122(constB43))))),
% 27.46/18.00 inference(monotonicity,[status(thm)],[6709])).
% 27.46/18.00 tff(6711,plain,
% 27.46/18.00 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB43)) | v116(constB43))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB43) | (~v122(constB43)))),
% 27.46/18.00 inference(transitivity,[status(thm)],[6710, 6708])).
% 27.46/18.00 tff(6712,plain,
% 27.46/18.00 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB43)) | v116(constB43))),
% 27.46/18.00 inference(quant_inst,[status(thm)],[])).
% 27.46/18.00 tff(6713,plain,
% 27.46/18.00 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB43) | (~v122(constB43))),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6712, 6711])).
% 27.46/18.00 tff(6714,plain,
% 27.46/18.00 (v116(constB43)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6713, 1272, 6707])).
% 27.46/18.00 tff(6715,plain,
% 27.46/18.00 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB43) | (~v116(constB43)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB43) | (~v116(constB43)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6716,plain,
% 27.46/18.00 (((~v116(constB43)) | v115(constB43)) <=> (v115(constB43) | (~v116(constB43)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6717,plain,
% 27.46/18.00 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB43)) | v115(constB43))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB43) | (~v116(constB43))))),
% 27.46/18.00 inference(monotonicity,[status(thm)],[6716])).
% 27.46/18.00 tff(6718,plain,
% 27.46/18.00 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB43)) | v115(constB43))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB43) | (~v116(constB43)))),
% 27.46/18.00 inference(transitivity,[status(thm)],[6717, 6715])).
% 27.46/18.00 tff(6719,plain,
% 27.46/18.00 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB43)) | v115(constB43))),
% 27.46/18.00 inference(quant_inst,[status(thm)],[])).
% 27.46/18.00 tff(6720,plain,
% 27.46/18.00 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB43) | (~v116(constB43))),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6719, 6718])).
% 27.46/18.00 tff(6721,plain,
% 27.46/18.00 (v115(constB43)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6720, 286, 6714])).
% 27.46/18.00 tff(6722,plain,
% 27.46/18.00 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB43) | (~v115(constB43)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB43) | (~v115(constB43)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6723,plain,
% 27.46/18.00 (((~v115(constB43)) | v114(constB43)) <=> (v114(constB43) | (~v115(constB43)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6724,plain,
% 27.46/18.00 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB43)) | v114(constB43))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB43) | (~v115(constB43))))),
% 27.46/18.00 inference(monotonicity,[status(thm)],[6723])).
% 27.46/18.00 tff(6725,plain,
% 27.46/18.00 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB43)) | v114(constB43))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB43) | (~v115(constB43)))),
% 27.46/18.00 inference(transitivity,[status(thm)],[6724, 6722])).
% 27.46/18.00 tff(6726,plain,
% 27.46/18.00 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB43)) | v114(constB43))),
% 27.46/18.00 inference(quant_inst,[status(thm)],[])).
% 27.46/18.00 tff(6727,plain,
% 27.46/18.00 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB43) | (~v115(constB43))),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6726, 6725])).
% 27.46/18.00 tff(6728,plain,
% 27.46/18.00 (v114(constB43)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6727, 300, 6721])).
% 27.46/18.00 tff(6729,plain,
% 27.46/18.00 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB43) | (~v114(constB43)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB43) | (~v114(constB43)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6730,plain,
% 27.46/18.00 (((~v114(constB43)) | v113(constB43)) <=> (v113(constB43) | (~v114(constB43)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6731,plain,
% 27.46/18.00 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB43)) | v113(constB43))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB43) | (~v114(constB43))))),
% 27.46/18.00 inference(monotonicity,[status(thm)],[6730])).
% 27.46/18.00 tff(6732,plain,
% 27.46/18.00 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB43)) | v113(constB43))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB43) | (~v114(constB43)))),
% 27.46/18.00 inference(transitivity,[status(thm)],[6731, 6729])).
% 27.46/18.00 tff(6733,plain,
% 27.46/18.00 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB43)) | v113(constB43))),
% 27.46/18.00 inference(quant_inst,[status(thm)],[])).
% 27.46/18.00 tff(6734,plain,
% 27.46/18.00 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB43) | (~v114(constB43))),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6733, 6732])).
% 27.46/18.00 tff(6735,plain,
% 27.46/18.00 (v113(constB43)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6734, 314, 6728])).
% 27.46/18.00 tff(6736,assumption,(~v108(constB43)), introduced(assumption)).
% 27.46/18.00 tff(6737,plain,
% 27.46/18.00 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB43) | (~v112(constB43)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v112(constB43)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6738,plain,
% 27.46/18.00 (((~v112(constB43)) | v108(constB43)) <=> (v108(constB43) | (~v112(constB43)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6739,plain,
% 27.46/18.00 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB43)) | v108(constB43))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB43) | (~v112(constB43))))),
% 27.46/18.00 inference(monotonicity,[status(thm)],[6738])).
% 27.46/18.00 tff(6740,plain,
% 27.46/18.00 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB43)) | v108(constB43))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v112(constB43)))),
% 27.46/18.00 inference(transitivity,[status(thm)],[6739, 6737])).
% 27.46/18.00 tff(6741,plain,
% 27.46/18.00 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB43)) | v108(constB43))),
% 27.46/18.00 inference(quant_inst,[status(thm)],[])).
% 27.46/18.00 tff(6742,plain,
% 27.46/18.00 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v112(constB43))),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6741, 6740])).
% 27.46/18.00 tff(6743,plain,
% 27.46/18.00 (~v112(constB43)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6742, 340, 6736])).
% 27.46/18.00 tff(6744,plain,
% 27.46/18.00 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | v108(VarCurr)) <=> ((~v26(VarCurr)) | v108(VarCurr)))),
% 27.46/18.00 inference(bind,[status(th)],[])).
% 27.46/18.00 tff(6745,plain,
% 27.46/18.00 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 27.46/18.00 inference(quant_intro,[status(thm)],[6744])).
% 27.46/18.00 tff(6746,plain,
% 27.46/18.00 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6747,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_2')).
% 27.46/18.00 tff(6748,plain,
% 27.46/18.00 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6747, 6746])).
% 27.46/18.00 tff(6749,plain,(
% 27.46/18.00 ![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 27.46/18.00 inference(skolemize,[status(sab)],[6748])).
% 27.46/18.00 tff(6750,plain,
% 27.46/18.00 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6749, 6745])).
% 27.46/18.00 tff(6751,plain,
% 27.46/18.00 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB43) | (~v26(constB43)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v26(constB43)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6752,plain,
% 27.46/18.00 (((~v26(constB43)) | v108(constB43)) <=> (v108(constB43) | (~v26(constB43)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6753,plain,
% 27.46/18.00 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB43)) | v108(constB43))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB43) | (~v26(constB43))))),
% 27.46/18.00 inference(monotonicity,[status(thm)],[6752])).
% 27.46/18.00 tff(6754,plain,
% 27.46/18.00 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB43)) | v108(constB43))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v26(constB43)))),
% 27.46/18.00 inference(transitivity,[status(thm)],[6753, 6751])).
% 27.46/18.00 tff(6755,plain,
% 27.46/18.00 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB43)) | v108(constB43))),
% 27.46/18.00 inference(quant_inst,[status(thm)],[])).
% 27.46/18.00 tff(6756,plain,
% 27.46/18.00 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v26(constB43))),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6755, 6754])).
% 27.46/18.00 tff(6757,plain,
% 27.46/18.00 (~v26(constB43)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6756, 6750, 6736])).
% 27.46/18.00 tff(6758,assumption,(v113(constB43)), introduced(assumption)).
% 27.46/18.00 tff(6759,plain,
% 27.46/18.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | v112(constB43) | (~v113(constB43)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | v112(constB43) | (~v113(constB43)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6760,plain,
% 27.46/18.00 ((v26(constB43) | (~v113(constB43)) | v112(constB43)) <=> (v26(constB43) | v112(constB43) | (~v113(constB43)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6761,plain,
% 27.46/18.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | v112(constB43) | (~v113(constB43))))),
% 27.46/18.00 inference(monotonicity,[status(thm)],[6760])).
% 27.46/18.00 tff(6762,plain,
% 27.46/18.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | v112(constB43) | (~v113(constB43)))),
% 27.46/18.00 inference(transitivity,[status(thm)],[6761, 6759])).
% 27.46/18.00 tff(6763,plain,
% 27.46/18.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))),
% 27.46/18.00 inference(quant_inst,[status(thm)],[])).
% 27.46/18.00 tff(6764,plain,
% 27.46/18.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | v112(constB43) | (~v113(constB43))),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6763, 6762])).
% 27.46/18.00 tff(6765,plain,
% 27.46/18.00 (v26(constB43) | v112(constB43)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6764, 328, 6758])).
% 27.46/18.00 tff(6766,plain,
% 27.46/18.00 ($false),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6765, 6757, 6743])).
% 27.46/18.00 tff(6767,plain,(v108(constB43) | (~v113(constB43))), inference(lemma,lemma(discharge,[]))).
% 27.46/18.00 tff(6768,plain,
% 27.46/18.00 (v108(constB43)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6767, 6735])).
% 27.46/18.00 tff(6769,plain,
% 27.46/18.00 (nextState(constB43, constB44) <=> nextState(constB43, constB44)),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6770,axiom,(nextState(constB43, constB44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_43_1')).
% 27.46/18.00 tff(6771,plain,
% 27.46/18.00 (nextState(constB43, constB44)),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6770, 6769])).
% 27.46/18.00 tff(6772,plain,
% 27.46/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6773,plain,
% 27.46/18.00 (((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44)) <=> ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6774,plain,
% 27.46/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43))))),
% 27.46/18.00 inference(monotonicity,[status(thm)],[6773])).
% 27.46/18.00 tff(6775,plain,
% 27.46/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 27.46/18.00 inference(transitivity,[status(thm)],[6774, 6772])).
% 27.46/18.00 tff(6776,plain,
% 27.46/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))),
% 27.46/18.00 inference(quant_inst,[status(thm)],[])).
% 27.46/18.00 tff(6777,plain,
% 27.46/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43))),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6776, 6775])).
% 27.46/18.00 tff(6778,plain,
% 27.46/18.00 (v110(constB44) | (~v108(constB43))),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6777, 360, 6771])).
% 27.46/18.00 tff(6779,plain,
% 27.46/18.00 (v110(constB44)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6778, 6768])).
% 27.46/18.00 tff(6780,plain,
% 27.46/18.00 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6781,plain,
% 27.46/18.00 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))),
% 27.46/18.00 inference(quant_inst,[status(thm)],[])).
% 27.46/18.00 tff(6782,plain,
% 27.46/18.00 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44))),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6781, 6780])).
% 27.46/18.00 tff(6783,plain,
% 27.46/18.00 (~v104(constB44)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6782, 378, 6771, 6617])).
% 27.46/18.00 tff(6784,plain,
% 27.46/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6785,plain,
% 27.46/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))),
% 27.46/18.00 inference(quant_inst,[status(thm)],[])).
% 27.46/18.00 tff(6786,plain,
% 27.46/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB43, constB44)) | v102(constB44) | v104(constB44)),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6785, 6784])).
% 27.46/18.00 tff(6787,plain,
% 27.46/18.00 (v102(constB44) | v104(constB44)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6786, 392, 6771])).
% 27.46/18.00 tff(6788,plain,
% 27.46/18.00 (v102(constB44)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6787, 6783])).
% 27.46/18.00 tff(6789,plain,
% 27.46/18.00 (v1(constB44) <=> v1(constB44)),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6790,axiom,(v1(constB44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_44_1')).
% 27.46/18.00 tff(6791,plain,
% 27.46/18.00 (v1(constB44)),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6790, 6789])).
% 27.46/18.00 tff(6792,plain,
% 27.46/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))),
% 27.46/18.00 inference(rewrite,[status(thm)],[])).
% 27.46/18.00 tff(6793,plain,
% 27.46/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))),
% 27.46/18.00 inference(quant_inst,[status(thm)],[])).
% 27.46/18.00 tff(6794,plain,
% 27.46/18.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44))),
% 27.46/18.00 inference(modus_ponens,[status(thm)],[6793, 6792])).
% 27.46/18.00 tff(6795,plain,
% 27.46/18.00 (v101(constB44) | (~v102(constB44))),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6794, 410, 6771, 6791])).
% 27.46/18.00 tff(6796,plain,
% 27.46/18.00 (v101(constB44)),
% 27.46/18.00 inference(unit_resolution,[status(thm)],[6795, 6788])).
% 27.46/18.00 tff(6797,plain,
% 27.46/18.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6798,plain,
% 27.46/18.01 (((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44)) <=> ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6799,plain,
% 27.46/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44))))),
% 27.46/18.01 inference(monotonicity,[status(thm)],[6798])).
% 27.46/18.01 tff(6800,plain,
% 27.46/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 27.46/18.01 inference(transitivity,[status(thm)],[6799, 6797])).
% 27.46/18.01 tff(6801,plain,
% 27.46/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6802,plain,
% 27.46/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44))),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6801, 6800])).
% 27.46/18.01 tff(6803,plain,
% 27.46/18.01 (v100(constB44) | (~v101(constB44)) | (~v110(constB44))),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6802, 425, 6771])).
% 27.46/18.01 tff(6804,plain,
% 27.46/18.01 (v100(constB44) | (~v110(constB44))),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6803, 6796])).
% 27.46/18.01 tff(6805,plain,
% 27.46/18.01 (v100(constB44)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6804, 6779])).
% 27.46/18.01 tff(6806,plain,
% 27.46/18.01 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB43)) | v130(constB43, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB43)) | v130(constB43, 2))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6807,plain,
% 27.46/18.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB43)) | v130(constB43, 2))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6808,plain,
% 27.46/18.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB43)) | v130(constB43, 2)),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6807, 6806])).
% 27.46/18.01 tff(6809,plain,
% 27.46/18.01 (v130(constB43, 2)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6808, 1484, 6707])).
% 27.46/18.01 tff(6810,assumption,(v26(constB43)), introduced(assumption)).
% 27.46/18.01 tff(6811,plain,
% 27.46/18.01 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB43))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6812,plain,
% 27.46/18.01 ($false),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6811, 95, 6810])).
% 27.46/18.01 tff(6813,plain,(~v26(constB43)), inference(lemma,lemma(discharge,[]))).
% 27.46/18.01 tff(6814,plain,
% 27.46/18.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB43) | (~v130(constB43, 2)) | v127(constB43, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB43) | (~v130(constB43, 2)) | v127(constB43, 2))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6815,plain,
% 27.46/18.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB43) | (~v130(constB43, 2)) | v127(constB43, 2))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6816,plain,
% 27.46/18.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB43) | (~v130(constB43, 2)) | v127(constB43, 2)),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6815, 6814])).
% 27.46/18.01 tff(6817,plain,
% 27.46/18.01 ((~v130(constB43, 2)) | v127(constB43, 2)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6816, 1498, 6813])).
% 27.46/18.01 tff(6818,plain,
% 27.46/18.01 (v127(constB43, 2)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6817, 6809])).
% 27.46/18.01 tff(6819,plain,
% 27.46/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB43, constB44)) | (~v127(constB43, 2)) | v129(constB44, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB43, constB44)) | (~v127(constB43, 2)) | v129(constB44, 2))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6820,plain,
% 27.46/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB43, constB44)) | (~v127(constB43, 2)) | v129(constB44, 2))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6821,plain,
% 27.46/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB43, constB44)) | (~v127(constB43, 2)) | v129(constB44, 2)),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6820, 6819])).
% 27.46/18.01 tff(6822,plain,
% 27.46/18.01 ((~v127(constB43, 2)) | v129(constB44, 2)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6821, 1513, 6771])).
% 27.46/18.01 tff(6823,plain,
% 27.46/18.01 (v129(constB44, 2)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6822, 6818])).
% 27.46/18.01 tff(6824,plain,
% 27.46/18.01 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB44, 2) | (~v129(constB44, 2)) | (~v100(constB44)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB44, 2) | (~v129(constB44, 2)) | (~v100(constB44)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6825,plain,
% 27.46/18.01 ((v90(constB44, 2) | (~v100(constB44)) | (~v129(constB44, 2))) <=> (v90(constB44, 2) | (~v129(constB44, 2)) | (~v100(constB44)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6826,plain,
% 27.46/18.01 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB44, 2) | (~v100(constB44)) | (~v129(constB44, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB44, 2) | (~v129(constB44, 2)) | (~v100(constB44))))),
% 27.46/18.01 inference(monotonicity,[status(thm)],[6825])).
% 27.46/18.01 tff(6827,plain,
% 27.46/18.01 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB44, 2) | (~v100(constB44)) | (~v129(constB44, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB44, 2) | (~v129(constB44, 2)) | (~v100(constB44)))),
% 27.46/18.01 inference(transitivity,[status(thm)],[6826, 6824])).
% 27.46/18.01 tff(6828,plain,
% 27.46/18.01 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB44, 2) | (~v100(constB44)) | (~v129(constB44, 2)))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6829,plain,
% 27.46/18.01 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB44, 2) | (~v129(constB44, 2)) | (~v100(constB44))),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6828, 6827])).
% 27.46/18.01 tff(6830,plain,
% 27.46/18.01 (v90(constB44, 2) | (~v100(constB44))),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6829, 1528, 6823])).
% 27.46/18.01 tff(6831,plain,
% 27.46/18.01 (v90(constB44, 2)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6830, 6805])).
% 27.46/18.01 tff(6832,plain,
% 27.46/18.01 ((~v1(constB45)) <=> (~v1(constB45))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6833,axiom,(~v1(constB45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_45_1_1')).
% 27.46/18.01 tff(6834,plain,
% 27.46/18.01 (~v1(constB45)),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6833, 6832])).
% 27.46/18.01 tff(6835,plain,
% 27.46/18.01 (nextState(constB44, constB45) <=> nextState(constB44, constB45)),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6836,axiom,(nextState(constB44, constB45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_44_1')).
% 27.46/18.01 tff(6837,plain,
% 27.46/18.01 (nextState(constB44, constB45)),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6836, 6835])).
% 27.46/18.01 tff(6838,plain,
% 27.46/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6839,plain,
% 27.46/18.01 (((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45)) <=> (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6840,plain,
% 27.46/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45))))),
% 27.46/18.01 inference(monotonicity,[status(thm)],[6839])).
% 27.46/18.01 tff(6841,plain,
% 27.46/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 27.46/18.01 inference(transitivity,[status(thm)],[6840, 6838])).
% 27.46/18.01 tff(6842,plain,
% 27.46/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6843,plain,
% 27.46/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45))),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6842, 6841])).
% 27.46/18.01 tff(6844,plain,
% 27.46/18.01 (~v101(constB45)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6843, 138, 6837, 6834])).
% 27.46/18.01 tff(6845,plain,
% 27.46/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6846,plain,
% 27.46/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6847,plain,
% 27.46/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45))),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6846, 6845])).
% 27.46/18.01 tff(6848,plain,
% 27.46/18.01 (v101(constB45) | (~v100(constB45))),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6847, 155, 6837])).
% 27.46/18.01 tff(6849,plain,
% 27.46/18.01 (~v100(constB45)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6848, 6844])).
% 27.46/18.01 tff(6850,plain,
% 27.46/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB44, 2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB44, 2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 2))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6851,plain,
% 27.46/18.01 (((~nextState(constB44, constB45)) | (~v90(constB44, 2)) | v100(constB45) | v90(constB45, 2)) <=> ((~v90(constB44, 2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 2))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6852,plain,
% 27.46/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, 2)) | v100(constB45) | v90(constB45, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB44, 2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 2)))),
% 27.46/18.01 inference(monotonicity,[status(thm)],[6851])).
% 27.46/18.01 tff(6853,plain,
% 27.46/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, 2)) | v100(constB45) | v90(constB45, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB44, 2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 2))),
% 27.46/18.01 inference(transitivity,[status(thm)],[6852, 6850])).
% 27.46/18.01 tff(6854,plain,
% 27.46/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, 2)) | v100(constB45) | v90(constB45, 2))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6855,plain,
% 27.46/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB44, 2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 2)),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6854, 6853])).
% 27.46/18.01 tff(6856,plain,
% 27.46/18.01 ((~v90(constB44, 2)) | v100(constB45) | v90(constB45, 2)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6855, 1546, 6837])).
% 27.46/18.01 tff(6857,plain,
% 27.46/18.01 ((~v90(constB44, 2)) | v90(constB45, 2)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6856, 6849])).
% 27.46/18.01 tff(6858,plain,
% 27.46/18.01 (v90(constB45, 2)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6857, 6831])).
% 27.46/18.01 tff(6859,plain,
% 27.46/18.01 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB43)) | (~v130(constB43, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB43)) | (~v130(constB43, 1)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6860,plain,
% 27.46/18.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB43)) | (~v130(constB43, 1)))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6861,plain,
% 27.46/18.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB43)) | (~v130(constB43, 1))),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6860, 6859])).
% 27.46/18.01 tff(6862,plain,
% 27.46/18.01 (~v130(constB43, 1)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6861, 1424, 6707])).
% 27.46/18.01 tff(6863,plain,
% 27.46/18.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB43, 1)) | v26(constB43) | v130(constB43, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB43, 1)) | v26(constB43) | v130(constB43, 1))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6864,plain,
% 27.46/18.01 ((v26(constB43) | v130(constB43, 1) | (~v127(constB43, 1))) <=> ((~v127(constB43, 1)) | v26(constB43) | v130(constB43, 1))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6865,plain,
% 27.46/18.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB43) | v130(constB43, 1) | (~v127(constB43, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB43, 1)) | v26(constB43) | v130(constB43, 1)))),
% 27.46/18.01 inference(monotonicity,[status(thm)],[6864])).
% 27.46/18.01 tff(6866,plain,
% 27.46/18.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB43) | v130(constB43, 1) | (~v127(constB43, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB43, 1)) | v26(constB43) | v130(constB43, 1))),
% 27.46/18.01 inference(transitivity,[status(thm)],[6865, 6863])).
% 27.46/18.01 tff(6867,plain,
% 27.46/18.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB43) | v130(constB43, 1) | (~v127(constB43, 1)))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6868,plain,
% 27.46/18.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB43, 1)) | v26(constB43) | v130(constB43, 1)),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6867, 6866])).
% 27.46/18.01 tff(6869,plain,
% 27.46/18.01 ((~v127(constB43, 1)) | v130(constB43, 1)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6868, 541, 6813])).
% 27.46/18.01 tff(6870,plain,
% 27.46/18.01 (~v127(constB43, 1)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6869, 6862])).
% 27.46/18.01 tff(6871,plain,
% 27.46/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB43, constB44)) | v127(constB43, 1) | (~v129(constB44, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB43, constB44)) | v127(constB43, 1) | (~v129(constB44, 1)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6872,plain,
% 27.46/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB43, constB44)) | v127(constB43, 1) | (~v129(constB44, 1)))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6873,plain,
% 27.46/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB43, constB44)) | v127(constB43, 1) | (~v129(constB44, 1))),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6872, 6871])).
% 27.46/18.01 tff(6874,plain,
% 27.46/18.01 (v127(constB43, 1) | (~v129(constB44, 1))),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6873, 559, 6771])).
% 27.46/18.01 tff(6875,plain,
% 27.46/18.01 (~v129(constB44, 1)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6874, 6870])).
% 27.46/18.01 tff(6876,plain,
% 27.46/18.01 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB44, 1)) | v129(constB44, 1) | (~v100(constB44)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB44, 1)) | v129(constB44, 1) | (~v100(constB44)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6877,plain,
% 27.46/18.01 (((~v90(constB44, 1)) | (~v100(constB44)) | v129(constB44, 1)) <=> ((~v90(constB44, 1)) | v129(constB44, 1) | (~v100(constB44)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6878,plain,
% 27.46/18.01 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB44, 1)) | (~v100(constB44)) | v129(constB44, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB44, 1)) | v129(constB44, 1) | (~v100(constB44))))),
% 27.46/18.01 inference(monotonicity,[status(thm)],[6877])).
% 27.46/18.01 tff(6879,plain,
% 27.46/18.01 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB44, 1)) | (~v100(constB44)) | v129(constB44, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB44, 1)) | v129(constB44, 1) | (~v100(constB44)))),
% 27.46/18.01 inference(transitivity,[status(thm)],[6878, 6876])).
% 27.46/18.01 tff(6880,plain,
% 27.46/18.01 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB44, 1)) | (~v100(constB44)) | v129(constB44, 1))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6881,plain,
% 27.46/18.01 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB44, 1)) | v129(constB44, 1) | (~v100(constB44))),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6880, 6879])).
% 27.46/18.01 tff(6882,plain,
% 27.46/18.01 ((~v90(constB44, 1)) | (~v100(constB44))),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6881, 574, 6875])).
% 27.46/18.01 tff(6883,plain,
% 27.46/18.01 (~v90(constB44, 1)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6882, 6805])).
% 27.46/18.01 tff(6884,plain,
% 27.46/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB44, 1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB44, 1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 1)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6885,plain,
% 27.46/18.01 (((~nextState(constB44, constB45)) | v90(constB44, 1) | v100(constB45) | (~v90(constB45, 1))) <=> (v90(constB44, 1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 1)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6886,plain,
% 27.46/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB44, constB45)) | v90(constB44, 1) | v100(constB45) | (~v90(constB45, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB44, 1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 1))))),
% 27.46/18.01 inference(monotonicity,[status(thm)],[6885])).
% 27.46/18.01 tff(6887,plain,
% 27.46/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB44, constB45)) | v90(constB44, 1) | v100(constB45) | (~v90(constB45, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB44, 1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 1)))),
% 27.46/18.01 inference(transitivity,[status(thm)],[6886, 6884])).
% 27.46/18.01 tff(6888,plain,
% 27.46/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB44, constB45)) | v90(constB44, 1) | v100(constB45) | (~v90(constB45, 1)))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6889,plain,
% 27.46/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB44, 1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 1))),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6888, 6887])).
% 27.46/18.01 tff(6890,plain,
% 27.46/18.01 (v90(constB44, 1) | v100(constB45) | (~v90(constB45, 1))),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6889, 191, 6837])).
% 27.46/18.01 tff(6891,plain,
% 27.46/18.01 (v90(constB44, 1) | (~v90(constB45, 1))),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6890, 6849])).
% 27.46/18.01 tff(6892,plain,
% 27.46/18.01 (~v90(constB45, 1)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6891, 6883])).
% 27.46/18.01 tff(6893,plain,
% 27.46/18.01 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB43)) | (~v130(constB43, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB43)) | (~v130(constB43, 0)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6894,plain,
% 27.46/18.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB43)) | (~v130(constB43, 0)))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6895,plain,
% 27.46/18.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB43)) | (~v130(constB43, 0))),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6894, 6893])).
% 27.46/18.01 tff(6896,plain,
% 27.46/18.01 (~v130(constB43, 0)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6895, 1351, 6707])).
% 27.46/18.01 tff(6897,plain,
% 27.46/18.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB43, 0)) | v26(constB43) | v130(constB43, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB43, 0)) | v26(constB43) | v130(constB43, 0))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6898,plain,
% 27.46/18.01 ((v26(constB43) | v130(constB43, 0) | (~v127(constB43, 0))) <=> ((~v127(constB43, 0)) | v26(constB43) | v130(constB43, 0))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6899,plain,
% 27.46/18.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB43) | v130(constB43, 0) | (~v127(constB43, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB43, 0)) | v26(constB43) | v130(constB43, 0)))),
% 27.46/18.01 inference(monotonicity,[status(thm)],[6898])).
% 27.46/18.01 tff(6900,plain,
% 27.46/18.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB43) | v130(constB43, 0) | (~v127(constB43, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB43, 0)) | v26(constB43) | v130(constB43, 0))),
% 27.46/18.01 inference(transitivity,[status(thm)],[6899, 6897])).
% 27.46/18.01 tff(6901,plain,
% 27.46/18.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB43) | v130(constB43, 0) | (~v127(constB43, 0)))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6902,plain,
% 27.46/18.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB43, 0)) | v26(constB43) | v130(constB43, 0)),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6901, 6900])).
% 27.46/18.01 tff(6903,plain,
% 27.46/18.01 ((~v127(constB43, 0)) | v130(constB43, 0)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6902, 933, 6813])).
% 27.46/18.01 tff(6904,plain,
% 27.46/18.01 (~v127(constB43, 0)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6903, 6896])).
% 27.46/18.01 tff(6905,plain,
% 27.46/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB43, constB44)) | v127(constB43, 0) | (~v129(constB44, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB43, constB44)) | v127(constB43, 0) | (~v129(constB44, 0)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6906,plain,
% 27.46/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB43, constB44)) | v127(constB43, 0) | (~v129(constB44, 0)))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6907,plain,
% 27.46/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB43, constB44)) | v127(constB43, 0) | (~v129(constB44, 0))),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6906, 6905])).
% 27.46/18.01 tff(6908,plain,
% 27.46/18.01 (v127(constB43, 0) | (~v129(constB44, 0))),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6907, 951, 6771])).
% 27.46/18.01 tff(6909,plain,
% 27.46/18.01 (~v129(constB44, 0)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6908, 6904])).
% 27.46/18.01 tff(6910,plain,
% 27.46/18.01 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB44, 0)) | v129(constB44, 0) | (~v100(constB44)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB44, 0)) | v129(constB44, 0) | (~v100(constB44)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6911,plain,
% 27.46/18.01 (((~v90(constB44, 0)) | (~v100(constB44)) | v129(constB44, 0)) <=> ((~v90(constB44, 0)) | v129(constB44, 0) | (~v100(constB44)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6912,plain,
% 27.46/18.01 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB44, 0)) | (~v100(constB44)) | v129(constB44, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB44, 0)) | v129(constB44, 0) | (~v100(constB44))))),
% 27.46/18.01 inference(monotonicity,[status(thm)],[6911])).
% 27.46/18.01 tff(6913,plain,
% 27.46/18.01 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB44, 0)) | (~v100(constB44)) | v129(constB44, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB44, 0)) | v129(constB44, 0) | (~v100(constB44)))),
% 27.46/18.01 inference(transitivity,[status(thm)],[6912, 6910])).
% 27.46/18.01 tff(6914,plain,
% 27.46/18.01 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB44, 0)) | (~v100(constB44)) | v129(constB44, 0))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6915,plain,
% 27.46/18.01 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB44, 0)) | v129(constB44, 0) | (~v100(constB44))),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6914, 6913])).
% 27.46/18.01 tff(6916,plain,
% 27.46/18.01 ((~v90(constB44, 0)) | (~v100(constB44))),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6915, 966, 6909])).
% 27.46/18.01 tff(6917,plain,
% 27.46/18.01 (~v90(constB44, 0)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6916, 6805])).
% 27.46/18.01 tff(6918,plain,
% 27.46/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB44, 0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB44, 0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 0)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6919,plain,
% 27.46/18.01 (((~nextState(constB44, constB45)) | v90(constB44, 0) | v100(constB45) | (~v90(constB45, 0))) <=> (v90(constB44, 0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 0)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6920,plain,
% 27.46/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB44, constB45)) | v90(constB44, 0) | v100(constB45) | (~v90(constB45, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB44, 0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 0))))),
% 27.46/18.01 inference(monotonicity,[status(thm)],[6919])).
% 27.46/18.01 tff(6921,plain,
% 27.46/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB44, constB45)) | v90(constB44, 0) | v100(constB45) | (~v90(constB45, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB44, 0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 0)))),
% 27.46/18.01 inference(transitivity,[status(thm)],[6920, 6918])).
% 27.46/18.01 tff(6922,plain,
% 27.46/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB44, constB45)) | v90(constB44, 0) | v100(constB45) | (~v90(constB45, 0)))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6923,plain,
% 27.46/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB44, 0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 0))),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6922, 6921])).
% 27.46/18.01 tff(6924,plain,
% 27.46/18.01 (v90(constB44, 0) | v100(constB45) | (~v90(constB45, 0))),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6923, 212, 6837])).
% 27.46/18.01 tff(6925,plain,
% 27.46/18.01 (v90(constB44, 0) | (~v90(constB45, 0))),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6924, 6849])).
% 27.46/18.01 tff(6926,plain,
% 27.46/18.01 (~v90(constB45, 0)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6925, 6917])).
% 27.46/18.01 tff(6927,plain,
% 27.46/18.01 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB45, 0) | v90(constB45, 1) | (~v90(constB45, 2)) | v123(constB45))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB45, 0) | v90(constB45, 1) | (~v90(constB45, 2)) | v123(constB45))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6928,plain,
% 27.46/18.01 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB45, 0) | v90(constB45, 1) | (~v90(constB45, 2)) | v123(constB45))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6929,plain,
% 27.46/18.01 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB45, 0) | v90(constB45, 1) | (~v90(constB45, 2)) | v123(constB45)),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6928, 6927])).
% 27.46/18.01 tff(6930,plain,
% 27.46/18.01 (v123(constB45)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6929, 1565, 6926, 6892, 6858])).
% 27.46/18.01 tff(6931,plain,
% 27.46/18.01 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB45)) | v115(constB45))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB45)) | v115(constB45))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6932,plain,
% 27.46/18.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB45)) | v115(constB45))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6933,plain,
% 27.46/18.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB45)) | v115(constB45)),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6932, 6931])).
% 27.46/18.01 tff(6934,plain,
% 27.46/18.01 (v115(constB45)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6933, 1579, 6930])).
% 27.46/18.01 tff(6935,plain,
% 27.46/18.01 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB45) | (~v115(constB45)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB45) | (~v115(constB45)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6936,plain,
% 27.46/18.01 (((~v115(constB45)) | v114(constB45)) <=> (v114(constB45) | (~v115(constB45)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6937,plain,
% 27.46/18.01 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB45)) | v114(constB45))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB45) | (~v115(constB45))))),
% 27.46/18.01 inference(monotonicity,[status(thm)],[6936])).
% 27.46/18.01 tff(6938,plain,
% 27.46/18.01 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB45)) | v114(constB45))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB45) | (~v115(constB45)))),
% 27.46/18.01 inference(transitivity,[status(thm)],[6937, 6935])).
% 27.46/18.01 tff(6939,plain,
% 27.46/18.01 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB45)) | v114(constB45))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6940,plain,
% 27.46/18.01 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB45) | (~v115(constB45))),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6939, 6938])).
% 27.46/18.01 tff(6941,plain,
% 27.46/18.01 (v114(constB45)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6940, 300, 6934])).
% 27.46/18.01 tff(6942,plain,
% 27.46/18.01 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB45)) | v113(constB45))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB45)) | v113(constB45))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6943,plain,
% 27.46/18.01 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB45)) | v113(constB45))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6944,plain,
% 27.46/18.01 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB45)) | v113(constB45)),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6943, 6942])).
% 27.46/18.01 tff(6945,plain,
% 27.46/18.01 (v113(constB45)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6944, 314, 6941])).
% 27.46/18.01 tff(6946,assumption,(v26(constB45)), introduced(assumption)).
% 27.46/18.01 tff(6947,plain,
% 27.46/18.01 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB45))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6948,plain,
% 27.46/18.01 ($false),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6947, 95, 6946])).
% 27.46/18.01 tff(6949,plain,(~v26(constB45)), inference(lemma,lemma(discharge,[]))).
% 27.46/18.01 tff(6950,plain,
% 27.46/18.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | v112(constB45) | (~v113(constB45)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | v112(constB45) | (~v113(constB45)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6951,plain,
% 27.46/18.01 ((v26(constB45) | (~v113(constB45)) | v112(constB45)) <=> (v26(constB45) | v112(constB45) | (~v113(constB45)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6952,plain,
% 27.46/18.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | v112(constB45) | (~v113(constB45))))),
% 27.46/18.01 inference(monotonicity,[status(thm)],[6951])).
% 27.46/18.01 tff(6953,plain,
% 27.46/18.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | v112(constB45) | (~v113(constB45)))),
% 27.46/18.01 inference(transitivity,[status(thm)],[6952, 6950])).
% 27.46/18.01 tff(6954,plain,
% 27.46/18.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6955,plain,
% 27.46/18.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | v112(constB45) | (~v113(constB45))),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6954, 6953])).
% 27.46/18.01 tff(6956,plain,
% 27.46/18.01 (v112(constB45) | (~v113(constB45))),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6955, 328, 6949])).
% 27.46/18.01 tff(6957,plain,
% 27.46/18.01 (v112(constB45)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6956, 6945])).
% 27.46/18.01 tff(6958,plain,
% 27.46/18.01 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB45) | (~v112(constB45)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB45) | (~v112(constB45)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6959,plain,
% 27.46/18.01 (((~v112(constB45)) | v108(constB45)) <=> (v108(constB45) | (~v112(constB45)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6960,plain,
% 27.46/18.01 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB45)) | v108(constB45))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB45) | (~v112(constB45))))),
% 27.46/18.01 inference(monotonicity,[status(thm)],[6959])).
% 27.46/18.01 tff(6961,plain,
% 27.46/18.01 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB45)) | v108(constB45))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB45) | (~v112(constB45)))),
% 27.46/18.01 inference(transitivity,[status(thm)],[6960, 6958])).
% 27.46/18.01 tff(6962,plain,
% 27.46/18.01 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB45)) | v108(constB45))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6963,plain,
% 27.46/18.01 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB45) | (~v112(constB45))),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6962, 6961])).
% 27.46/18.01 tff(6964,plain,
% 27.46/18.01 (v108(constB45)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6963, 340, 6957])).
% 27.46/18.01 tff(6965,plain,
% 27.46/18.01 (nextState(constB45, constB46) <=> nextState(constB45, constB46)),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6966,axiom,(nextState(constB45, constB46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_45_1')).
% 27.46/18.01 tff(6967,plain,
% 27.46/18.01 (nextState(constB45, constB46)),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6966, 6965])).
% 27.46/18.01 tff(6968,plain,
% 27.46/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6969,plain,
% 27.46/18.01 (((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46)) <=> ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6970,plain,
% 27.46/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45))))),
% 27.46/18.01 inference(monotonicity,[status(thm)],[6969])).
% 27.46/18.01 tff(6971,plain,
% 27.46/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 27.46/18.01 inference(transitivity,[status(thm)],[6970, 6968])).
% 27.46/18.01 tff(6972,plain,
% 27.46/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6973,plain,
% 27.46/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45))),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6972, 6971])).
% 27.46/18.01 tff(6974,plain,
% 27.46/18.01 (v110(constB46) | (~v108(constB45))),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6973, 360, 6967])).
% 27.46/18.01 tff(6975,plain,
% 27.46/18.01 (v110(constB46)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6974, 6964])).
% 27.46/18.01 tff(6976,plain,
% 27.46/18.01 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6977,plain,
% 27.46/18.01 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6978,plain,
% 27.46/18.01 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46))),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6977, 6976])).
% 27.46/18.01 tff(6979,plain,
% 27.46/18.01 (~v104(constB46)),
% 27.46/18.01 inference(unit_resolution,[status(thm)],[6978, 378, 6967, 6834])).
% 27.46/18.01 tff(6980,plain,
% 27.46/18.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))),
% 27.46/18.01 inference(rewrite,[status(thm)],[])).
% 27.46/18.01 tff(6981,plain,
% 27.46/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))),
% 27.46/18.01 inference(quant_inst,[status(thm)],[])).
% 27.46/18.01 tff(6982,plain,
% 27.46/18.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB45, constB46)) | v102(constB46) | v104(constB46)),
% 27.46/18.01 inference(modus_ponens,[status(thm)],[6981, 6980])).
% 27.46/18.01 tff(6983,plain,
% 27.46/18.01 (v102(constB46) | v104(constB46)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[6982, 392, 6967])).
% 27.46/18.02 tff(6984,plain,
% 27.46/18.02 (v102(constB46)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[6983, 6979])).
% 27.46/18.02 tff(6985,plain,
% 27.46/18.02 (v1(constB46) <=> v1(constB46)),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(6986,axiom,(v1(constB46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_46_1')).
% 27.46/18.02 tff(6987,plain,
% 27.46/18.02 (v1(constB46)),
% 27.46/18.02 inference(modus_ponens,[status(thm)],[6986, 6985])).
% 27.46/18.02 tff(6988,plain,
% 27.46/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(6989,plain,
% 27.46/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))),
% 27.46/18.02 inference(quant_inst,[status(thm)],[])).
% 27.46/18.02 tff(6990,plain,
% 27.46/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46))),
% 27.46/18.02 inference(modus_ponens,[status(thm)],[6989, 6988])).
% 27.46/18.02 tff(6991,plain,
% 27.46/18.02 (v101(constB46) | (~v102(constB46))),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[6990, 410, 6967, 6987])).
% 27.46/18.02 tff(6992,plain,
% 27.46/18.02 (v101(constB46)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[6991, 6984])).
% 27.46/18.02 tff(6993,plain,
% 27.46/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(6994,plain,
% 27.46/18.02 (((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46)) <=> ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(6995,plain,
% 27.46/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46))))),
% 27.46/18.02 inference(monotonicity,[status(thm)],[6994])).
% 27.46/18.02 tff(6996,plain,
% 27.46/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 27.46/18.02 inference(transitivity,[status(thm)],[6995, 6993])).
% 27.46/18.02 tff(6997,plain,
% 27.46/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))),
% 27.46/18.02 inference(quant_inst,[status(thm)],[])).
% 27.46/18.02 tff(6998,plain,
% 27.46/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46))),
% 27.46/18.02 inference(modus_ponens,[status(thm)],[6997, 6996])).
% 27.46/18.02 tff(6999,plain,
% 27.46/18.02 (v100(constB46) | (~v101(constB46)) | (~v110(constB46))),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[6998, 425, 6967])).
% 27.46/18.02 tff(7000,plain,
% 27.46/18.02 (v100(constB46) | (~v110(constB46))),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[6999, 6992])).
% 27.46/18.02 tff(7001,plain,
% 27.46/18.02 (v100(constB46)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7000, 6975])).
% 27.46/18.02 tff(7002,plain,
% 27.46/18.02 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB45)) | v130(constB45, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB45)) | v130(constB45, 2))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7003,plain,
% 27.46/18.02 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB45)) | v130(constB45, 2))),
% 27.46/18.02 inference(quant_inst,[status(thm)],[])).
% 27.46/18.02 tff(7004,plain,
% 27.46/18.02 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB45)) | v130(constB45, 2)),
% 27.46/18.02 inference(modus_ponens,[status(thm)],[7003, 7002])).
% 27.46/18.02 tff(7005,plain,
% 27.46/18.02 (v130(constB45, 2)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7004, 1656, 6930])).
% 27.46/18.02 tff(7006,plain,
% 27.46/18.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB45) | (~v130(constB45, 2)) | v127(constB45, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB45) | (~v130(constB45, 2)) | v127(constB45, 2))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7007,plain,
% 27.46/18.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB45) | (~v130(constB45, 2)) | v127(constB45, 2))),
% 27.46/18.02 inference(quant_inst,[status(thm)],[])).
% 27.46/18.02 tff(7008,plain,
% 27.46/18.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB45) | (~v130(constB45, 2)) | v127(constB45, 2)),
% 27.46/18.02 inference(modus_ponens,[status(thm)],[7007, 7006])).
% 27.46/18.02 tff(7009,plain,
% 27.46/18.02 ((~v130(constB45, 2)) | v127(constB45, 2)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7008, 1498, 6949])).
% 27.46/18.02 tff(7010,plain,
% 27.46/18.02 (v127(constB45, 2)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7009, 7005])).
% 27.46/18.02 tff(7011,plain,
% 27.46/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB45, constB46)) | (~v127(constB45, 2)) | v129(constB46, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB45, constB46)) | (~v127(constB45, 2)) | v129(constB46, 2))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7012,plain,
% 27.46/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB45, constB46)) | (~v127(constB45, 2)) | v129(constB46, 2))),
% 27.46/18.02 inference(quant_inst,[status(thm)],[])).
% 27.46/18.02 tff(7013,plain,
% 27.46/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB45, constB46)) | (~v127(constB45, 2)) | v129(constB46, 2)),
% 27.46/18.02 inference(modus_ponens,[status(thm)],[7012, 7011])).
% 27.46/18.02 tff(7014,plain,
% 27.46/18.02 ((~v127(constB45, 2)) | v129(constB46, 2)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7013, 1513, 6967])).
% 27.46/18.02 tff(7015,plain,
% 27.46/18.02 (v129(constB46, 2)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7014, 7010])).
% 27.46/18.02 tff(7016,plain,
% 27.46/18.02 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB46, 2) | (~v129(constB46, 2)) | (~v100(constB46)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB46, 2) | (~v129(constB46, 2)) | (~v100(constB46)))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7017,plain,
% 27.46/18.02 ((v90(constB46, 2) | (~v100(constB46)) | (~v129(constB46, 2))) <=> (v90(constB46, 2) | (~v129(constB46, 2)) | (~v100(constB46)))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7018,plain,
% 27.46/18.02 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB46, 2) | (~v100(constB46)) | (~v129(constB46, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB46, 2) | (~v129(constB46, 2)) | (~v100(constB46))))),
% 27.46/18.02 inference(monotonicity,[status(thm)],[7017])).
% 27.46/18.02 tff(7019,plain,
% 27.46/18.02 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB46, 2) | (~v100(constB46)) | (~v129(constB46, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB46, 2) | (~v129(constB46, 2)) | (~v100(constB46)))),
% 27.46/18.02 inference(transitivity,[status(thm)],[7018, 7016])).
% 27.46/18.02 tff(7020,plain,
% 27.46/18.02 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB46, 2) | (~v100(constB46)) | (~v129(constB46, 2)))),
% 27.46/18.02 inference(quant_inst,[status(thm)],[])).
% 27.46/18.02 tff(7021,plain,
% 27.46/18.02 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB46, 2) | (~v129(constB46, 2)) | (~v100(constB46))),
% 27.46/18.02 inference(modus_ponens,[status(thm)],[7020, 7019])).
% 27.46/18.02 tff(7022,plain,
% 27.46/18.02 (v90(constB46, 2) | (~v100(constB46))),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7021, 1528, 7015])).
% 27.46/18.02 tff(7023,plain,
% 27.46/18.02 (v90(constB46, 2)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7022, 7001])).
% 27.46/18.02 tff(7024,plain,
% 27.46/18.02 ((~v1(constB47)) <=> (~v1(constB47))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7025,axiom,(~v1(constB47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_47_1_1')).
% 27.46/18.02 tff(7026,plain,
% 27.46/18.02 (~v1(constB47)),
% 27.46/18.02 inference(modus_ponens,[status(thm)],[7025, 7024])).
% 27.46/18.02 tff(7027,plain,
% 27.46/18.02 (nextState(constB46, constB47) <=> nextState(constB46, constB47)),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7028,axiom,(nextState(constB46, constB47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_46_1')).
% 27.46/18.02 tff(7029,plain,
% 27.46/18.02 (nextState(constB46, constB47)),
% 27.46/18.02 inference(modus_ponens,[status(thm)],[7028, 7027])).
% 27.46/18.02 tff(7030,plain,
% 27.46/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7031,plain,
% 27.46/18.02 (((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47)) <=> (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7032,plain,
% 27.46/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47))))),
% 27.46/18.02 inference(monotonicity,[status(thm)],[7031])).
% 27.46/18.02 tff(7033,plain,
% 27.46/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 27.46/18.02 inference(transitivity,[status(thm)],[7032, 7030])).
% 27.46/18.02 tff(7034,plain,
% 27.46/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))),
% 27.46/18.02 inference(quant_inst,[status(thm)],[])).
% 27.46/18.02 tff(7035,plain,
% 27.46/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47))),
% 27.46/18.02 inference(modus_ponens,[status(thm)],[7034, 7033])).
% 27.46/18.02 tff(7036,plain,
% 27.46/18.02 (~v101(constB47)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7035, 138, 7029, 7026])).
% 27.46/18.02 tff(7037,plain,
% 27.46/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7038,plain,
% 27.46/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))),
% 27.46/18.02 inference(quant_inst,[status(thm)],[])).
% 27.46/18.02 tff(7039,plain,
% 27.46/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47))),
% 27.46/18.02 inference(modus_ponens,[status(thm)],[7038, 7037])).
% 27.46/18.02 tff(7040,plain,
% 27.46/18.02 (v101(constB47) | (~v100(constB47))),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7039, 155, 7029])).
% 27.46/18.02 tff(7041,plain,
% 27.46/18.02 (~v100(constB47)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7040, 7036])).
% 27.46/18.02 tff(7042,plain,
% 27.46/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB46, 2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB46, 2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 2))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7043,plain,
% 27.46/18.02 (((~nextState(constB46, constB47)) | (~v90(constB46, 2)) | v100(constB47) | v90(constB47, 2)) <=> ((~v90(constB46, 2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 2))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7044,plain,
% 27.46/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB46, constB47)) | (~v90(constB46, 2)) | v100(constB47) | v90(constB47, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB46, 2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 2)))),
% 27.46/18.02 inference(monotonicity,[status(thm)],[7043])).
% 27.46/18.02 tff(7045,plain,
% 27.46/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB46, constB47)) | (~v90(constB46, 2)) | v100(constB47) | v90(constB47, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB46, 2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 2))),
% 27.46/18.02 inference(transitivity,[status(thm)],[7044, 7042])).
% 27.46/18.02 tff(7046,plain,
% 27.46/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB46, constB47)) | (~v90(constB46, 2)) | v100(constB47) | v90(constB47, 2))),
% 27.46/18.02 inference(quant_inst,[status(thm)],[])).
% 27.46/18.02 tff(7047,plain,
% 27.46/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB46, 2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 2)),
% 27.46/18.02 inference(modus_ponens,[status(thm)],[7046, 7045])).
% 27.46/18.02 tff(7048,plain,
% 27.46/18.02 ((~v90(constB46, 2)) | v100(constB47) | v90(constB47, 2)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7047, 1546, 7029])).
% 27.46/18.02 tff(7049,plain,
% 27.46/18.02 ((~v90(constB46, 2)) | v90(constB47, 2)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7048, 7041])).
% 27.46/18.02 tff(7050,plain,
% 27.46/18.02 (v90(constB47, 2)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7049, 7023])).
% 27.46/18.02 tff(7051,plain,
% 27.46/18.02 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB45)) | (~v130(constB45, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB45)) | (~v130(constB45, 1)))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7052,plain,
% 27.46/18.02 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB45)) | (~v130(constB45, 1)))),
% 27.46/18.02 inference(quant_inst,[status(thm)],[])).
% 27.46/18.02 tff(7053,plain,
% 27.46/18.02 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB45)) | (~v130(constB45, 1))),
% 27.46/18.02 inference(modus_ponens,[status(thm)],[7052, 7051])).
% 27.46/18.02 tff(7054,plain,
% 27.46/18.02 (~v130(constB45, 1)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7053, 1712, 6930])).
% 27.46/18.02 tff(7055,plain,
% 27.46/18.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB45, 1)) | v26(constB45) | v130(constB45, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB45, 1)) | v26(constB45) | v130(constB45, 1))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7056,plain,
% 27.46/18.02 ((v26(constB45) | v130(constB45, 1) | (~v127(constB45, 1))) <=> ((~v127(constB45, 1)) | v26(constB45) | v130(constB45, 1))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7057,plain,
% 27.46/18.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB45) | v130(constB45, 1) | (~v127(constB45, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB45, 1)) | v26(constB45) | v130(constB45, 1)))),
% 27.46/18.02 inference(monotonicity,[status(thm)],[7056])).
% 27.46/18.02 tff(7058,plain,
% 27.46/18.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB45) | v130(constB45, 1) | (~v127(constB45, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB45, 1)) | v26(constB45) | v130(constB45, 1))),
% 27.46/18.02 inference(transitivity,[status(thm)],[7057, 7055])).
% 27.46/18.02 tff(7059,plain,
% 27.46/18.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB45) | v130(constB45, 1) | (~v127(constB45, 1)))),
% 27.46/18.02 inference(quant_inst,[status(thm)],[])).
% 27.46/18.02 tff(7060,plain,
% 27.46/18.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB45, 1)) | v26(constB45) | v130(constB45, 1)),
% 27.46/18.02 inference(modus_ponens,[status(thm)],[7059, 7058])).
% 27.46/18.02 tff(7061,plain,
% 27.46/18.02 ((~v127(constB45, 1)) | v130(constB45, 1)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7060, 541, 6949])).
% 27.46/18.02 tff(7062,plain,
% 27.46/18.02 (~v127(constB45, 1)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7061, 7054])).
% 27.46/18.02 tff(7063,plain,
% 27.46/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB45, constB46)) | v127(constB45, 1) | (~v129(constB46, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB45, constB46)) | v127(constB45, 1) | (~v129(constB46, 1)))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7064,plain,
% 27.46/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB45, constB46)) | v127(constB45, 1) | (~v129(constB46, 1)))),
% 27.46/18.02 inference(quant_inst,[status(thm)],[])).
% 27.46/18.02 tff(7065,plain,
% 27.46/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB45, constB46)) | v127(constB45, 1) | (~v129(constB46, 1))),
% 27.46/18.02 inference(modus_ponens,[status(thm)],[7064, 7063])).
% 27.46/18.02 tff(7066,plain,
% 27.46/18.02 (v127(constB45, 1) | (~v129(constB46, 1))),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7065, 559, 6967])).
% 27.46/18.02 tff(7067,plain,
% 27.46/18.02 (~v129(constB46, 1)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7066, 7062])).
% 27.46/18.02 tff(7068,plain,
% 27.46/18.02 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB46, 1)) | v129(constB46, 1) | (~v100(constB46)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB46, 1)) | v129(constB46, 1) | (~v100(constB46)))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7069,plain,
% 27.46/18.02 (((~v90(constB46, 1)) | (~v100(constB46)) | v129(constB46, 1)) <=> ((~v90(constB46, 1)) | v129(constB46, 1) | (~v100(constB46)))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7070,plain,
% 27.46/18.02 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB46, 1)) | (~v100(constB46)) | v129(constB46, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB46, 1)) | v129(constB46, 1) | (~v100(constB46))))),
% 27.46/18.02 inference(monotonicity,[status(thm)],[7069])).
% 27.46/18.02 tff(7071,plain,
% 27.46/18.02 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB46, 1)) | (~v100(constB46)) | v129(constB46, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB46, 1)) | v129(constB46, 1) | (~v100(constB46)))),
% 27.46/18.02 inference(transitivity,[status(thm)],[7070, 7068])).
% 27.46/18.02 tff(7072,plain,
% 27.46/18.02 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB46, 1)) | (~v100(constB46)) | v129(constB46, 1))),
% 27.46/18.02 inference(quant_inst,[status(thm)],[])).
% 27.46/18.02 tff(7073,plain,
% 27.46/18.02 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB46, 1)) | v129(constB46, 1) | (~v100(constB46))),
% 27.46/18.02 inference(modus_ponens,[status(thm)],[7072, 7071])).
% 27.46/18.02 tff(7074,plain,
% 27.46/18.02 ((~v90(constB46, 1)) | (~v100(constB46))),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7073, 574, 7067])).
% 27.46/18.02 tff(7075,plain,
% 27.46/18.02 (~v90(constB46, 1)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7074, 7001])).
% 27.46/18.02 tff(7076,plain,
% 27.46/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB46, 1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB46, 1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 1)))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7077,plain,
% 27.46/18.02 (((~nextState(constB46, constB47)) | v90(constB46, 1) | v100(constB47) | (~v90(constB47, 1))) <=> (v90(constB46, 1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 1)))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7078,plain,
% 27.46/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB46, constB47)) | v90(constB46, 1) | v100(constB47) | (~v90(constB47, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB46, 1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 1))))),
% 27.46/18.02 inference(monotonicity,[status(thm)],[7077])).
% 27.46/18.02 tff(7079,plain,
% 27.46/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB46, constB47)) | v90(constB46, 1) | v100(constB47) | (~v90(constB47, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB46, 1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 1)))),
% 27.46/18.02 inference(transitivity,[status(thm)],[7078, 7076])).
% 27.46/18.02 tff(7080,plain,
% 27.46/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB46, constB47)) | v90(constB46, 1) | v100(constB47) | (~v90(constB47, 1)))),
% 27.46/18.02 inference(quant_inst,[status(thm)],[])).
% 27.46/18.02 tff(7081,plain,
% 27.46/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB46, 1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 1))),
% 27.46/18.02 inference(modus_ponens,[status(thm)],[7080, 7079])).
% 27.46/18.02 tff(7082,plain,
% 27.46/18.02 (v90(constB46, 1) | v100(constB47) | (~v90(constB47, 1))),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7081, 191, 7029])).
% 27.46/18.02 tff(7083,plain,
% 27.46/18.02 (v90(constB46, 1) | (~v90(constB47, 1))),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7082, 7041])).
% 27.46/18.02 tff(7084,plain,
% 27.46/18.02 (~v90(constB47, 1)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7083, 7075])).
% 27.46/18.02 tff(7085,plain,
% 27.46/18.02 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB45)) | v130(constB45, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB45)) | v130(constB45, 0))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7086,plain,
% 27.46/18.02 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB45)) | v130(constB45, 0))),
% 27.46/18.02 inference(quant_inst,[status(thm)],[])).
% 27.46/18.02 tff(7087,plain,
% 27.46/18.02 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB45)) | v130(constB45, 0)),
% 27.46/18.02 inference(modus_ponens,[status(thm)],[7086, 7085])).
% 27.46/18.02 tff(7088,plain,
% 27.46/18.02 (v130(constB45, 0)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7087, 1753, 6930])).
% 27.46/18.02 tff(7089,plain,
% 27.46/18.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB45) | (~v130(constB45, 0)) | v127(constB45, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB45) | (~v130(constB45, 0)) | v127(constB45, 0))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7090,plain,
% 27.46/18.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB45) | (~v130(constB45, 0)) | v127(constB45, 0))),
% 27.46/18.02 inference(quant_inst,[status(thm)],[])).
% 27.46/18.02 tff(7091,plain,
% 27.46/18.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB45) | (~v130(constB45, 0)) | v127(constB45, 0)),
% 27.46/18.02 inference(modus_ponens,[status(thm)],[7090, 7089])).
% 27.46/18.02 tff(7092,plain,
% 27.46/18.02 ((~v130(constB45, 0)) | v127(constB45, 0)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7091, 612, 6949])).
% 27.46/18.02 tff(7093,plain,
% 27.46/18.02 (v127(constB45, 0)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7092, 7088])).
% 27.46/18.02 tff(7094,plain,
% 27.46/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB45, constB46)) | (~v127(constB45, 0)) | v129(constB46, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB45, constB46)) | (~v127(constB45, 0)) | v129(constB46, 0))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7095,plain,
% 27.46/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB45, constB46)) | (~v127(constB45, 0)) | v129(constB46, 0))),
% 27.46/18.02 inference(quant_inst,[status(thm)],[])).
% 27.46/18.02 tff(7096,plain,
% 27.46/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB45, constB46)) | (~v127(constB45, 0)) | v129(constB46, 0)),
% 27.46/18.02 inference(modus_ponens,[status(thm)],[7095, 7094])).
% 27.46/18.02 tff(7097,plain,
% 27.46/18.02 ((~v127(constB45, 0)) | v129(constB46, 0)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7096, 627, 6967])).
% 27.46/18.02 tff(7098,plain,
% 27.46/18.02 (v129(constB46, 0)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7097, 7093])).
% 27.46/18.02 tff(7099,plain,
% 27.46/18.02 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB46, 0) | (~v129(constB46, 0)) | (~v100(constB46)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB46, 0) | (~v129(constB46, 0)) | (~v100(constB46)))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7100,plain,
% 27.46/18.02 ((v90(constB46, 0) | (~v100(constB46)) | (~v129(constB46, 0))) <=> (v90(constB46, 0) | (~v129(constB46, 0)) | (~v100(constB46)))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7101,plain,
% 27.46/18.02 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB46, 0) | (~v100(constB46)) | (~v129(constB46, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB46, 0) | (~v129(constB46, 0)) | (~v100(constB46))))),
% 27.46/18.02 inference(monotonicity,[status(thm)],[7100])).
% 27.46/18.02 tff(7102,plain,
% 27.46/18.02 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB46, 0) | (~v100(constB46)) | (~v129(constB46, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB46, 0) | (~v129(constB46, 0)) | (~v100(constB46)))),
% 27.46/18.02 inference(transitivity,[status(thm)],[7101, 7099])).
% 27.46/18.02 tff(7103,plain,
% 27.46/18.02 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB46, 0) | (~v100(constB46)) | (~v129(constB46, 0)))),
% 27.46/18.02 inference(quant_inst,[status(thm)],[])).
% 27.46/18.02 tff(7104,plain,
% 27.46/18.02 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB46, 0) | (~v129(constB46, 0)) | (~v100(constB46))),
% 27.46/18.02 inference(modus_ponens,[status(thm)],[7103, 7102])).
% 27.46/18.02 tff(7105,plain,
% 27.46/18.02 (v90(constB46, 0) | (~v100(constB46))),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7104, 642, 7098])).
% 27.46/18.02 tff(7106,plain,
% 27.46/18.02 (v90(constB46, 0)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7105, 7001])).
% 27.46/18.02 tff(7107,plain,
% 27.46/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB46, 0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB46, 0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 0))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7108,plain,
% 27.46/18.02 (((~nextState(constB46, constB47)) | (~v90(constB46, 0)) | v100(constB47) | v90(constB47, 0)) <=> ((~v90(constB46, 0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 0))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7109,plain,
% 27.46/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, 0)) | v100(constB47) | v90(constB47, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB46, 0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 0)))),
% 27.46/18.02 inference(monotonicity,[status(thm)],[7108])).
% 27.46/18.02 tff(7110,plain,
% 27.46/18.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, 0)) | v100(constB47) | v90(constB47, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB46, 0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 0))),
% 27.46/18.02 inference(transitivity,[status(thm)],[7109, 7107])).
% 27.46/18.02 tff(7111,plain,
% 27.46/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, 0)) | v100(constB47) | v90(constB47, 0))),
% 27.46/18.02 inference(quant_inst,[status(thm)],[])).
% 27.46/18.02 tff(7112,plain,
% 27.46/18.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB46, 0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 0)),
% 27.46/18.02 inference(modus_ponens,[status(thm)],[7111, 7110])).
% 27.46/18.02 tff(7113,plain,
% 27.46/18.02 ((~v90(constB46, 0)) | v100(constB47) | v90(constB47, 0)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7112, 660, 7029])).
% 27.46/18.02 tff(7114,plain,
% 27.46/18.02 ((~v90(constB46, 0)) | v90(constB47, 0)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7113, 7041])).
% 27.46/18.02 tff(7115,plain,
% 27.46/18.02 (v90(constB47, 0)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7114, 7106])).
% 27.46/18.02 tff(7116,plain,
% 27.46/18.02 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB47, 0)) | v90(constB47, 1) | (~v90(constB47, 2)) | v124(constB47))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB47, 0)) | v90(constB47, 1) | (~v90(constB47, 2)) | v124(constB47))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7117,plain,
% 27.46/18.02 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB47, 0)) | v90(constB47, 1) | (~v90(constB47, 2)) | v124(constB47))),
% 27.46/18.02 inference(quant_inst,[status(thm)],[])).
% 27.46/18.02 tff(7118,plain,
% 27.46/18.02 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB47, 0)) | v90(constB47, 1) | (~v90(constB47, 2)) | v124(constB47)),
% 27.46/18.02 inference(modus_ponens,[status(thm)],[7117, 7116])).
% 27.46/18.02 tff(7119,plain,
% 27.46/18.02 (v124(constB47)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7118, 1794, 7115, 7084, 7050])).
% 27.46/18.02 tff(7120,plain,
% 27.46/18.02 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB47) | (~v124(constB47)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB47) | (~v124(constB47)))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7121,plain,
% 27.46/18.02 (((~v124(constB47)) | v114(constB47)) <=> (v114(constB47) | (~v124(constB47)))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7122,plain,
% 27.46/18.02 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB47)) | v114(constB47))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB47) | (~v124(constB47))))),
% 27.46/18.02 inference(monotonicity,[status(thm)],[7121])).
% 27.46/18.02 tff(7123,plain,
% 27.46/18.02 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB47)) | v114(constB47))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB47) | (~v124(constB47)))),
% 27.46/18.02 inference(transitivity,[status(thm)],[7122, 7120])).
% 27.46/18.02 tff(7124,plain,
% 27.46/18.02 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB47)) | v114(constB47))),
% 27.46/18.02 inference(quant_inst,[status(thm)],[])).
% 27.46/18.02 tff(7125,plain,
% 27.46/18.02 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB47) | (~v124(constB47))),
% 27.46/18.02 inference(modus_ponens,[status(thm)],[7124, 7123])).
% 27.46/18.02 tff(7126,plain,
% 27.46/18.02 (v114(constB47)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7125, 1805, 7119])).
% 27.46/18.02 tff(7127,plain,
% 27.46/18.02 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB47) | (~v114(constB47)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB47) | (~v114(constB47)))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7128,plain,
% 27.46/18.02 (((~v114(constB47)) | v113(constB47)) <=> (v113(constB47) | (~v114(constB47)))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7129,plain,
% 27.46/18.02 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB47)) | v113(constB47))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB47) | (~v114(constB47))))),
% 27.46/18.02 inference(monotonicity,[status(thm)],[7128])).
% 27.46/18.02 tff(7130,plain,
% 27.46/18.02 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB47)) | v113(constB47))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB47) | (~v114(constB47)))),
% 27.46/18.02 inference(transitivity,[status(thm)],[7129, 7127])).
% 27.46/18.02 tff(7131,plain,
% 27.46/18.02 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB47)) | v113(constB47))),
% 27.46/18.02 inference(quant_inst,[status(thm)],[])).
% 27.46/18.02 tff(7132,plain,
% 27.46/18.02 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB47) | (~v114(constB47))),
% 27.46/18.02 inference(modus_ponens,[status(thm)],[7131, 7130])).
% 27.46/18.02 tff(7133,plain,
% 27.46/18.02 (v113(constB47)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7132, 314, 7126])).
% 27.46/18.02 tff(7134,assumption,(~v108(constB47)), introduced(assumption)).
% 27.46/18.02 tff(7135,plain,
% 27.46/18.02 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB47) | (~v112(constB47)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v112(constB47)))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7136,plain,
% 27.46/18.02 (((~v112(constB47)) | v108(constB47)) <=> (v108(constB47) | (~v112(constB47)))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7137,plain,
% 27.46/18.02 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB47) | (~v112(constB47))))),
% 27.46/18.02 inference(monotonicity,[status(thm)],[7136])).
% 27.46/18.02 tff(7138,plain,
% 27.46/18.02 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v112(constB47)))),
% 27.46/18.02 inference(transitivity,[status(thm)],[7137, 7135])).
% 27.46/18.02 tff(7139,plain,
% 27.46/18.02 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB47)) | v108(constB47))),
% 27.46/18.02 inference(quant_inst,[status(thm)],[])).
% 27.46/18.02 tff(7140,plain,
% 27.46/18.02 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v112(constB47))),
% 27.46/18.02 inference(modus_ponens,[status(thm)],[7139, 7138])).
% 27.46/18.02 tff(7141,plain,
% 27.46/18.02 (~v112(constB47)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7140, 340, 7134])).
% 27.46/18.02 tff(7142,plain,
% 27.46/18.02 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB47) | (~v26(constB47)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v26(constB47)))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7143,plain,
% 27.46/18.02 (((~v26(constB47)) | v108(constB47)) <=> (v108(constB47) | (~v26(constB47)))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7144,plain,
% 27.46/18.02 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB47) | (~v26(constB47))))),
% 27.46/18.02 inference(monotonicity,[status(thm)],[7143])).
% 27.46/18.02 tff(7145,plain,
% 27.46/18.02 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v26(constB47)))),
% 27.46/18.02 inference(transitivity,[status(thm)],[7144, 7142])).
% 27.46/18.02 tff(7146,plain,
% 27.46/18.02 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB47)) | v108(constB47))),
% 27.46/18.02 inference(quant_inst,[status(thm)],[])).
% 27.46/18.02 tff(7147,plain,
% 27.46/18.02 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v26(constB47))),
% 27.46/18.02 inference(modus_ponens,[status(thm)],[7146, 7145])).
% 27.46/18.02 tff(7148,plain,
% 27.46/18.02 (~v26(constB47)),
% 27.46/18.02 inference(unit_resolution,[status(thm)],[7147, 6750, 7134])).
% 27.46/18.02 tff(7149,assumption,(v113(constB47)), introduced(assumption)).
% 27.46/18.02 tff(7150,plain,
% 27.46/18.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | v112(constB47) | (~v113(constB47)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | v112(constB47) | (~v113(constB47)))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7151,plain,
% 27.46/18.02 ((v26(constB47) | (~v113(constB47)) | v112(constB47)) <=> (v26(constB47) | v112(constB47) | (~v113(constB47)))),
% 27.46/18.02 inference(rewrite,[status(thm)],[])).
% 27.46/18.02 tff(7152,plain,
% 27.46/18.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | v112(constB47) | (~v113(constB47))))),
% 27.46/18.03 inference(monotonicity,[status(thm)],[7151])).
% 27.46/18.03 tff(7153,plain,
% 27.46/18.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | v112(constB47) | (~v113(constB47)))),
% 27.46/18.03 inference(transitivity,[status(thm)],[7152, 7150])).
% 27.46/18.03 tff(7154,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7155,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | v112(constB47) | (~v113(constB47))),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7154, 7153])).
% 27.46/18.03 tff(7156,plain,
% 27.46/18.03 (v26(constB47) | v112(constB47)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7155, 328, 7149])).
% 27.46/18.03 tff(7157,plain,
% 27.46/18.03 ($false),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7156, 7148, 7141])).
% 27.46/18.03 tff(7158,plain,(v108(constB47) | (~v113(constB47))), inference(lemma,lemma(discharge,[]))).
% 27.46/18.03 tff(7159,plain,
% 27.46/18.03 (v108(constB47)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7158, 7133])).
% 27.46/18.03 tff(7160,plain,
% 27.46/18.03 (nextState(constB47, constB48) <=> nextState(constB47, constB48)),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7161,axiom,(nextState(constB47, constB48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_47_1')).
% 27.46/18.03 tff(7162,plain,
% 27.46/18.03 (nextState(constB47, constB48)),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7161, 7160])).
% 27.46/18.03 tff(7163,plain,
% 27.46/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7164,plain,
% 27.46/18.03 (((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48)) <=> ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7165,plain,
% 27.46/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47))))),
% 27.46/18.03 inference(monotonicity,[status(thm)],[7164])).
% 27.46/18.03 tff(7166,plain,
% 27.46/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 27.46/18.03 inference(transitivity,[status(thm)],[7165, 7163])).
% 27.46/18.03 tff(7167,plain,
% 27.46/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7168,plain,
% 27.46/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47))),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7167, 7166])).
% 27.46/18.03 tff(7169,plain,
% 27.46/18.03 (v110(constB48) | (~v108(constB47))),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7168, 360, 7162])).
% 27.46/18.03 tff(7170,plain,
% 27.46/18.03 (v110(constB48)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7169, 7159])).
% 27.46/18.03 tff(7171,plain,
% 27.46/18.03 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7172,plain,
% 27.46/18.03 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7173,plain,
% 27.46/18.03 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48))),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7172, 7171])).
% 27.46/18.03 tff(7174,plain,
% 27.46/18.03 (~v104(constB48)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7173, 378, 7162, 7026])).
% 27.46/18.03 tff(7175,plain,
% 27.46/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7176,plain,
% 27.46/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7177,plain,
% 27.46/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB47, constB48)) | v102(constB48) | v104(constB48)),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7176, 7175])).
% 27.46/18.03 tff(7178,plain,
% 27.46/18.03 (v102(constB48) | v104(constB48)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7177, 392, 7162])).
% 27.46/18.03 tff(7179,plain,
% 27.46/18.03 (v102(constB48)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7178, 7174])).
% 27.46/18.03 tff(7180,plain,
% 27.46/18.03 (v1(constB48) <=> v1(constB48)),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7181,axiom,(v1(constB48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_48_1')).
% 27.46/18.03 tff(7182,plain,
% 27.46/18.03 (v1(constB48)),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7181, 7180])).
% 27.46/18.03 tff(7183,plain,
% 27.46/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7184,plain,
% 27.46/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7185,plain,
% 27.46/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48))),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7184, 7183])).
% 27.46/18.03 tff(7186,plain,
% 27.46/18.03 (v101(constB48) | (~v102(constB48))),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7185, 410, 7162, 7182])).
% 27.46/18.03 tff(7187,plain,
% 27.46/18.03 (v101(constB48)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7186, 7179])).
% 27.46/18.03 tff(7188,plain,
% 27.46/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7189,plain,
% 27.46/18.03 (((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48)) <=> ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7190,plain,
% 27.46/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48))))),
% 27.46/18.03 inference(monotonicity,[status(thm)],[7189])).
% 27.46/18.03 tff(7191,plain,
% 27.46/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 27.46/18.03 inference(transitivity,[status(thm)],[7190, 7188])).
% 27.46/18.03 tff(7192,plain,
% 27.46/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7193,plain,
% 27.46/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48))),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7192, 7191])).
% 27.46/18.03 tff(7194,plain,
% 27.46/18.03 (v100(constB48) | (~v101(constB48)) | (~v110(constB48))),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7193, 425, 7162])).
% 27.46/18.03 tff(7195,plain,
% 27.46/18.03 (v100(constB48) | (~v110(constB48))),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7194, 7187])).
% 27.46/18.03 tff(7196,plain,
% 27.46/18.03 (v100(constB48)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7195, 7170])).
% 27.46/18.03 tff(7197,plain,
% 27.46/18.03 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB47)) | v130(constB47, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB47)) | v130(constB47, 2))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7198,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB47)) | v130(constB47, 2))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7199,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB47)) | v130(constB47, 2)),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7198, 7197])).
% 27.46/18.03 tff(7200,plain,
% 27.46/18.03 (v130(constB47, 2)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7199, 1873, 7119])).
% 27.46/18.03 tff(7201,assumption,(v26(constB47)), introduced(assumption)).
% 27.46/18.03 tff(7202,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB47))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7203,plain,
% 27.46/18.03 ($false),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7202, 95, 7201])).
% 27.46/18.03 tff(7204,plain,(~v26(constB47)), inference(lemma,lemma(discharge,[]))).
% 27.46/18.03 tff(7205,plain,
% 27.46/18.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB47) | (~v130(constB47, 2)) | v127(constB47, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB47) | (~v130(constB47, 2)) | v127(constB47, 2))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7206,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB47) | (~v130(constB47, 2)) | v127(constB47, 2))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7207,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB47) | (~v130(constB47, 2)) | v127(constB47, 2)),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7206, 7205])).
% 27.46/18.03 tff(7208,plain,
% 27.46/18.03 ((~v130(constB47, 2)) | v127(constB47, 2)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7207, 1498, 7204])).
% 27.46/18.03 tff(7209,plain,
% 27.46/18.03 (v127(constB47, 2)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7208, 7200])).
% 27.46/18.03 tff(7210,plain,
% 27.46/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB47, constB48)) | (~v127(constB47, 2)) | v129(constB48, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB47, constB48)) | (~v127(constB47, 2)) | v129(constB48, 2))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7211,plain,
% 27.46/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB47, constB48)) | (~v127(constB47, 2)) | v129(constB48, 2))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7212,plain,
% 27.46/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB47, constB48)) | (~v127(constB47, 2)) | v129(constB48, 2)),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7211, 7210])).
% 27.46/18.03 tff(7213,plain,
% 27.46/18.03 ((~v127(constB47, 2)) | v129(constB48, 2)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7212, 1513, 7162])).
% 27.46/18.03 tff(7214,plain,
% 27.46/18.03 (v129(constB48, 2)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7213, 7209])).
% 27.46/18.03 tff(7215,plain,
% 27.46/18.03 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB48, 2) | (~v129(constB48, 2)) | (~v100(constB48)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB48, 2) | (~v129(constB48, 2)) | (~v100(constB48)))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7216,plain,
% 27.46/18.03 ((v90(constB48, 2) | (~v100(constB48)) | (~v129(constB48, 2))) <=> (v90(constB48, 2) | (~v129(constB48, 2)) | (~v100(constB48)))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7217,plain,
% 27.46/18.03 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB48, 2) | (~v100(constB48)) | (~v129(constB48, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB48, 2) | (~v129(constB48, 2)) | (~v100(constB48))))),
% 27.46/18.03 inference(monotonicity,[status(thm)],[7216])).
% 27.46/18.03 tff(7218,plain,
% 27.46/18.03 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB48, 2) | (~v100(constB48)) | (~v129(constB48, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB48, 2) | (~v129(constB48, 2)) | (~v100(constB48)))),
% 27.46/18.03 inference(transitivity,[status(thm)],[7217, 7215])).
% 27.46/18.03 tff(7219,plain,
% 27.46/18.03 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB48, 2) | (~v100(constB48)) | (~v129(constB48, 2)))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7220,plain,
% 27.46/18.03 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB48, 2) | (~v129(constB48, 2)) | (~v100(constB48))),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7219, 7218])).
% 27.46/18.03 tff(7221,plain,
% 27.46/18.03 (v90(constB48, 2) | (~v100(constB48))),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7220, 1528, 7214])).
% 27.46/18.03 tff(7222,plain,
% 27.46/18.03 (v90(constB48, 2)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7221, 7196])).
% 27.46/18.03 tff(7223,plain,
% 27.46/18.03 ((~v1(constB49)) <=> (~v1(constB49))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7224,axiom,(~v1(constB49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_49_1_1')).
% 27.46/18.03 tff(7225,plain,
% 27.46/18.03 (~v1(constB49)),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7224, 7223])).
% 27.46/18.03 tff(7226,plain,
% 27.46/18.03 (nextState(constB48, constB49) <=> nextState(constB48, constB49)),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7227,axiom,(nextState(constB48, constB49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_48_1')).
% 27.46/18.03 tff(7228,plain,
% 27.46/18.03 (nextState(constB48, constB49)),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7227, 7226])).
% 27.46/18.03 tff(7229,plain,
% 27.46/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7230,plain,
% 27.46/18.03 (((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49)) <=> (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7231,plain,
% 27.46/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49))))),
% 27.46/18.03 inference(monotonicity,[status(thm)],[7230])).
% 27.46/18.03 tff(7232,plain,
% 27.46/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 27.46/18.03 inference(transitivity,[status(thm)],[7231, 7229])).
% 27.46/18.03 tff(7233,plain,
% 27.46/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7234,plain,
% 27.46/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49))),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7233, 7232])).
% 27.46/18.03 tff(7235,plain,
% 27.46/18.03 (~v101(constB49)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7234, 138, 7228, 7225])).
% 27.46/18.03 tff(7236,plain,
% 27.46/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7237,plain,
% 27.46/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7238,plain,
% 27.46/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49))),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7237, 7236])).
% 27.46/18.03 tff(7239,plain,
% 27.46/18.03 (v101(constB49) | (~v100(constB49))),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7238, 155, 7228])).
% 27.46/18.03 tff(7240,plain,
% 27.46/18.03 (~v100(constB49)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7239, 7235])).
% 27.46/18.03 tff(7241,plain,
% 27.46/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB48, 2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB48, 2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 2))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7242,plain,
% 27.46/18.03 (((~nextState(constB48, constB49)) | (~v90(constB48, 2)) | v100(constB49) | v90(constB49, 2)) <=> ((~v90(constB48, 2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 2))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7243,plain,
% 27.46/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB48, constB49)) | (~v90(constB48, 2)) | v100(constB49) | v90(constB49, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB48, 2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 2)))),
% 27.46/18.03 inference(monotonicity,[status(thm)],[7242])).
% 27.46/18.03 tff(7244,plain,
% 27.46/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB48, constB49)) | (~v90(constB48, 2)) | v100(constB49) | v90(constB49, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB48, 2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 2))),
% 27.46/18.03 inference(transitivity,[status(thm)],[7243, 7241])).
% 27.46/18.03 tff(7245,plain,
% 27.46/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB48, constB49)) | (~v90(constB48, 2)) | v100(constB49) | v90(constB49, 2))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7246,plain,
% 27.46/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB48, 2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 2)),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7245, 7244])).
% 27.46/18.03 tff(7247,plain,
% 27.46/18.03 ((~v90(constB48, 2)) | v100(constB49) | v90(constB49, 2)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7246, 1546, 7228])).
% 27.46/18.03 tff(7248,plain,
% 27.46/18.03 ((~v90(constB48, 2)) | v90(constB49, 2)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7247, 7240])).
% 27.46/18.03 tff(7249,plain,
% 27.46/18.03 (v90(constB49, 2)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7248, 7222])).
% 27.46/18.03 tff(7250,plain,
% 27.46/18.03 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB49)) | (~v90(constB49, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB49)) | (~v90(constB49, 2)))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7251,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB49)) | (~v90(constB49, 2)))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7252,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB49)) | (~v90(constB49, 2))),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7251, 7250])).
% 27.46/18.03 tff(7253,plain,
% 27.46/18.03 (~v121(constB49)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7252, 2130, 7249])).
% 27.46/18.03 tff(7254,plain,
% 27.46/18.03 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB49)) | (~v90(constB49, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB49)) | (~v90(constB49, 2)))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7255,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB49)) | (~v90(constB49, 2)))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7256,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB49)) | (~v90(constB49, 2))),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7255, 7254])).
% 27.46/18.03 tff(7257,plain,
% 27.46/18.03 (~v122(constB49)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7256, 2119, 7249])).
% 27.46/18.03 tff(7258,plain,
% 27.46/18.03 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB47)) | v130(constB47, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB47)) | v130(constB47, 1))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7259,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB47)) | v130(constB47, 1))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7260,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB47)) | v130(constB47, 1)),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7259, 7258])).
% 27.46/18.03 tff(7261,plain,
% 27.46/18.03 (v130(constB47, 1)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7260, 1929, 7119])).
% 27.46/18.03 tff(7262,plain,
% 27.46/18.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB47) | (~v130(constB47, 1)) | v127(constB47, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB47) | (~v130(constB47, 1)) | v127(constB47, 1))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7263,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB47) | (~v130(constB47, 1)) | v127(constB47, 1))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7264,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB47) | (~v130(constB47, 1)) | v127(constB47, 1)),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7263, 7262])).
% 27.46/18.03 tff(7265,plain,
% 27.46/18.03 ((~v130(constB47, 1)) | v127(constB47, 1)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7264, 855, 7204])).
% 27.46/18.03 tff(7266,plain,
% 27.46/18.03 (v127(constB47, 1)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7265, 7261])).
% 27.46/18.03 tff(7267,plain,
% 27.46/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB47, constB48)) | (~v127(constB47, 1)) | v129(constB48, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB47, constB48)) | (~v127(constB47, 1)) | v129(constB48, 1))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7268,plain,
% 27.46/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB47, constB48)) | (~v127(constB47, 1)) | v129(constB48, 1))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7269,plain,
% 27.46/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB47, constB48)) | (~v127(constB47, 1)) | v129(constB48, 1)),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7268, 7267])).
% 27.46/18.03 tff(7270,plain,
% 27.46/18.03 ((~v127(constB47, 1)) | v129(constB48, 1)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7269, 870, 7162])).
% 27.46/18.03 tff(7271,plain,
% 27.46/18.03 (v129(constB48, 1)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7270, 7266])).
% 27.46/18.03 tff(7272,plain,
% 27.46/18.03 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB48, 1) | (~v129(constB48, 1)) | (~v100(constB48)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB48, 1) | (~v129(constB48, 1)) | (~v100(constB48)))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7273,plain,
% 27.46/18.03 ((v90(constB48, 1) | (~v100(constB48)) | (~v129(constB48, 1))) <=> (v90(constB48, 1) | (~v129(constB48, 1)) | (~v100(constB48)))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7274,plain,
% 27.46/18.03 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB48, 1) | (~v100(constB48)) | (~v129(constB48, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB48, 1) | (~v129(constB48, 1)) | (~v100(constB48))))),
% 27.46/18.03 inference(monotonicity,[status(thm)],[7273])).
% 27.46/18.03 tff(7275,plain,
% 27.46/18.03 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB48, 1) | (~v100(constB48)) | (~v129(constB48, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB48, 1) | (~v129(constB48, 1)) | (~v100(constB48)))),
% 27.46/18.03 inference(transitivity,[status(thm)],[7274, 7272])).
% 27.46/18.03 tff(7276,plain,
% 27.46/18.03 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB48, 1) | (~v100(constB48)) | (~v129(constB48, 1)))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7277,plain,
% 27.46/18.03 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB48, 1) | (~v129(constB48, 1)) | (~v100(constB48))),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7276, 7275])).
% 27.46/18.03 tff(7278,plain,
% 27.46/18.03 (v90(constB48, 1) | (~v100(constB48))),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7277, 885, 7271])).
% 27.46/18.03 tff(7279,plain,
% 27.46/18.03 (v90(constB48, 1)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7278, 7196])).
% 27.46/18.03 tff(7280,plain,
% 27.46/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB48, 1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB48, 1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 1))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7281,plain,
% 27.46/18.03 (((~nextState(constB48, constB49)) | (~v90(constB48, 1)) | v100(constB49) | v90(constB49, 1)) <=> ((~v90(constB48, 1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 1))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7282,plain,
% 27.46/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, 1)) | v100(constB49) | v90(constB49, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB48, 1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 1)))),
% 27.46/18.03 inference(monotonicity,[status(thm)],[7281])).
% 27.46/18.03 tff(7283,plain,
% 27.46/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, 1)) | v100(constB49) | v90(constB49, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB48, 1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 1))),
% 27.46/18.03 inference(transitivity,[status(thm)],[7282, 7280])).
% 27.46/18.03 tff(7284,plain,
% 27.46/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, 1)) | v100(constB49) | v90(constB49, 1))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7285,plain,
% 27.46/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB48, 1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 1)),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7284, 7283])).
% 27.46/18.03 tff(7286,plain,
% 27.46/18.03 ((~v90(constB48, 1)) | v100(constB49) | v90(constB49, 1)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7285, 903, 7228])).
% 27.46/18.03 tff(7287,plain,
% 27.46/18.03 ((~v90(constB48, 1)) | v90(constB49, 1)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7286, 7240])).
% 27.46/18.03 tff(7288,plain,
% 27.46/18.03 (v90(constB49, 1)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7287, 7279])).
% 27.46/18.03 tff(7289,plain,
% 27.46/18.03 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB49)) | (~v90(constB49, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB49)) | (~v90(constB49, 1)))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7290,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB49)) | (~v90(constB49, 1)))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7291,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB49)) | (~v90(constB49, 1))),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7290, 7289])).
% 27.46/18.03 tff(7292,plain,
% 27.46/18.03 (~v120(constB49)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7291, 2141, 7288])).
% 27.46/18.03 tff(7293,plain,
% 27.46/18.03 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB49)) | (~v90(constB49, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB49)) | (~v90(constB49, 1)))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7294,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB49)) | (~v90(constB49, 1)))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7295,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB49)) | (~v90(constB49, 1))),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7294, 7293])).
% 27.46/18.03 tff(7296,plain,
% 27.46/18.03 (~v123(constB49)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7295, 2108, 7288])).
% 27.46/18.03 tff(7297,plain,
% 27.46/18.03 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB49)) | (~v90(constB49, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB49)) | (~v90(constB49, 1)))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7298,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB49)) | (~v90(constB49, 1)))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7299,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB49)) | (~v90(constB49, 1))),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7298, 7297])).
% 27.46/18.03 tff(7300,plain,
% 27.46/18.03 (~v119(constB49)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7299, 2086, 7288])).
% 27.46/18.03 tff(7301,plain,
% 27.46/18.03 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB49)) | (~v90(constB49, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB49)) | (~v90(constB49, 1)))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7302,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB49)) | (~v90(constB49, 1)))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7303,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB49)) | (~v90(constB49, 1))),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7302, 7301])).
% 27.46/18.03 tff(7304,plain,
% 27.46/18.03 (~v124(constB49)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7303, 2097, 7288])).
% 27.46/18.03 tff(7305,plain,
% 27.46/18.03 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 2)))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7306,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 2)))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7307,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 2))),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7306, 7305])).
% 27.46/18.03 tff(7308,plain,
% 27.46/18.03 (~v130(constB49, 2)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7307, 2155, 7304, 7300, 7296, 7292, 7257, 7253])).
% 27.46/18.03 tff(7309,assumption,(v26(constB49)), introduced(assumption)).
% 27.46/18.03 tff(7310,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB49))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7311,plain,
% 27.46/18.03 ($false),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7310, 95, 7309])).
% 27.46/18.03 tff(7312,plain,(~v26(constB49)), inference(lemma,lemma(discharge,[]))).
% 27.46/18.03 tff(7313,plain,
% 27.46/18.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB49, 2)) | v26(constB49) | v130(constB49, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB49, 2)) | v26(constB49) | v130(constB49, 2))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7314,plain,
% 27.46/18.03 ((v26(constB49) | v130(constB49, 2) | (~v127(constB49, 2))) <=> ((~v127(constB49, 2)) | v26(constB49) | v130(constB49, 2))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7315,plain,
% 27.46/18.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB49) | v130(constB49, 2) | (~v127(constB49, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB49, 2)) | v26(constB49) | v130(constB49, 2)))),
% 27.46/18.03 inference(monotonicity,[status(thm)],[7314])).
% 27.46/18.03 tff(7316,plain,
% 27.46/18.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB49) | v130(constB49, 2) | (~v127(constB49, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB49, 2)) | v26(constB49) | v130(constB49, 2))),
% 27.46/18.03 inference(transitivity,[status(thm)],[7315, 7313])).
% 27.46/18.03 tff(7317,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB49) | v130(constB49, 2) | (~v127(constB49, 2)))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7318,plain,
% 27.46/18.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB49, 2)) | v26(constB49) | v130(constB49, 2)),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7317, 7316])).
% 27.46/18.03 tff(7319,plain,
% 27.46/18.03 ((~v127(constB49, 2)) | v130(constB49, 2)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7318, 455, 7312])).
% 27.46/18.03 tff(7320,plain,
% 27.46/18.03 (~v127(constB49, 2)),
% 27.46/18.03 inference(unit_resolution,[status(thm)],[7319, 7308])).
% 27.46/18.03 tff(7321,plain,
% 27.46/18.03 (nextState(constB49, constB50) <=> nextState(constB49, constB50)),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7322,axiom,(nextState(constB49, constB50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_49_1')).
% 27.46/18.03 tff(7323,plain,
% 27.46/18.03 (nextState(constB49, constB50)),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7322, 7321])).
% 27.46/18.03 tff(7324,plain,
% 27.46/18.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB49, constB50)) | v127(constB49, 2) | (~v129(constB50, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB49, constB50)) | v127(constB49, 2) | (~v129(constB50, 2)))),
% 27.46/18.03 inference(rewrite,[status(thm)],[])).
% 27.46/18.03 tff(7325,plain,
% 27.46/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB49, constB50)) | v127(constB49, 2) | (~v129(constB50, 2)))),
% 27.46/18.03 inference(quant_inst,[status(thm)],[])).
% 27.46/18.03 tff(7326,plain,
% 27.46/18.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB49, constB50)) | v127(constB49, 2) | (~v129(constB50, 2))),
% 27.46/18.03 inference(modus_ponens,[status(thm)],[7325, 7324])).
% 27.46/18.04 tff(7327,plain,
% 27.46/18.04 (v127(constB49, 2) | (~v129(constB50, 2))),
% 27.46/18.04 inference(unit_resolution,[status(thm)],[7326, 473, 7323])).
% 27.46/18.04 tff(7328,plain,
% 27.46/18.04 (~v129(constB50, 2)),
% 27.46/18.04 inference(unit_resolution,[status(thm)],[7327, 7320])).
% 27.46/18.04 tff(7329,plain,
% 27.46/18.04 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB47)) | (~v130(constB47, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB47)) | (~v130(constB47, 0)))),
% 27.46/18.04 inference(rewrite,[status(thm)],[])).
% 27.46/18.04 tff(7330,plain,
% 27.46/18.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB47)) | (~v130(constB47, 0)))),
% 27.46/18.04 inference(quant_inst,[status(thm)],[])).
% 27.46/18.04 tff(7331,plain,
% 27.46/18.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB47)) | (~v130(constB47, 0))),
% 27.46/18.04 inference(modus_ponens,[status(thm)],[7330, 7329])).
% 27.46/18.04 tff(7332,plain,
% 27.46/18.04 (~v130(constB47, 0)),
% 27.46/18.04 inference(unit_resolution,[status(thm)],[7331, 1967, 7119])).
% 27.46/18.04 tff(7333,plain,
% 27.46/18.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB47, 0)) | v26(constB47) | v130(constB47, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB47, 0)) | v26(constB47) | v130(constB47, 0))),
% 27.46/18.04 inference(rewrite,[status(thm)],[])).
% 27.46/18.04 tff(7334,plain,
% 27.46/18.04 ((v26(constB47) | v130(constB47, 0) | (~v127(constB47, 0))) <=> ((~v127(constB47, 0)) | v26(constB47) | v130(constB47, 0))),
% 27.46/18.04 inference(rewrite,[status(thm)],[])).
% 27.46/18.04 tff(7335,plain,
% 27.46/18.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB47) | v130(constB47, 0) | (~v127(constB47, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB47, 0)) | v26(constB47) | v130(constB47, 0)))),
% 27.46/18.04 inference(monotonicity,[status(thm)],[7334])).
% 27.46/18.04 tff(7336,plain,
% 27.46/18.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB47) | v130(constB47, 0) | (~v127(constB47, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB47, 0)) | v26(constB47) | v130(constB47, 0))),
% 27.46/18.04 inference(transitivity,[status(thm)],[7335, 7333])).
% 27.46/18.04 tff(7337,plain,
% 27.46/18.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB47) | v130(constB47, 0) | (~v127(constB47, 0)))),
% 27.46/18.04 inference(quant_inst,[status(thm)],[])).
% 27.46/18.04 tff(7338,plain,
% 27.46/18.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB47, 0)) | v26(constB47) | v130(constB47, 0)),
% 27.46/18.04 inference(modus_ponens,[status(thm)],[7337, 7336])).
% 27.46/18.04 tff(7339,plain,
% 27.46/18.04 ((~v127(constB47, 0)) | v130(constB47, 0)),
% 27.46/18.04 inference(unit_resolution,[status(thm)],[7338, 933, 7204])).
% 27.46/18.04 tff(7340,plain,
% 27.46/18.04 (~v127(constB47, 0)),
% 27.46/18.04 inference(unit_resolution,[status(thm)],[7339, 7332])).
% 27.46/18.04 tff(7341,plain,
% 27.46/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB47, constB48)) | v127(constB47, 0) | (~v129(constB48, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB47, constB48)) | v127(constB47, 0) | (~v129(constB48, 0)))),
% 27.46/18.04 inference(rewrite,[status(thm)],[])).
% 27.46/18.04 tff(7342,plain,
% 27.46/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB47, constB48)) | v127(constB47, 0) | (~v129(constB48, 0)))),
% 27.46/18.04 inference(quant_inst,[status(thm)],[])).
% 27.46/18.04 tff(7343,plain,
% 27.46/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB47, constB48)) | v127(constB47, 0) | (~v129(constB48, 0))),
% 27.46/18.04 inference(modus_ponens,[status(thm)],[7342, 7341])).
% 27.46/18.04 tff(7344,plain,
% 27.46/18.04 (v127(constB47, 0) | (~v129(constB48, 0))),
% 27.46/18.04 inference(unit_resolution,[status(thm)],[7343, 951, 7162])).
% 27.46/18.04 tff(7345,plain,
% 27.46/18.04 (~v129(constB48, 0)),
% 27.46/18.04 inference(unit_resolution,[status(thm)],[7344, 7340])).
% 27.46/18.04 tff(7346,plain,
% 27.46/18.04 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB48, 0)) | v129(constB48, 0) | (~v100(constB48)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB48, 0)) | v129(constB48, 0) | (~v100(constB48)))),
% 27.46/18.04 inference(rewrite,[status(thm)],[])).
% 27.46/18.04 tff(7347,plain,
% 27.46/18.04 (((~v90(constB48, 0)) | (~v100(constB48)) | v129(constB48, 0)) <=> ((~v90(constB48, 0)) | v129(constB48, 0) | (~v100(constB48)))),
% 27.46/18.04 inference(rewrite,[status(thm)],[])).
% 27.46/18.04 tff(7348,plain,
% 27.46/18.04 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB48, 0)) | (~v100(constB48)) | v129(constB48, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB48, 0)) | v129(constB48, 0) | (~v100(constB48))))),
% 27.46/18.04 inference(monotonicity,[status(thm)],[7347])).
% 27.46/18.04 tff(7349,plain,
% 27.46/18.04 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB48, 0)) | (~v100(constB48)) | v129(constB48, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB48, 0)) | v129(constB48, 0) | (~v100(constB48)))),
% 27.46/18.04 inference(transitivity,[status(thm)],[7348, 7346])).
% 27.46/18.04 tff(7350,plain,
% 27.46/18.04 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB48, 0)) | (~v100(constB48)) | v129(constB48, 0))),
% 27.46/18.04 inference(quant_inst,[status(thm)],[])).
% 27.46/18.04 tff(7351,plain,
% 27.46/18.04 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB48, 0)) | v129(constB48, 0) | (~v100(constB48))),
% 27.46/18.04 inference(modus_ponens,[status(thm)],[7350, 7349])).
% 27.46/18.04 tff(7352,plain,
% 27.46/18.04 ((~v90(constB48, 0)) | (~v100(constB48))),
% 27.46/18.04 inference(unit_resolution,[status(thm)],[7351, 966, 7345])).
% 27.46/18.04 tff(7353,plain,
% 27.46/18.04 (~v90(constB48, 0)),
% 27.46/18.04 inference(unit_resolution,[status(thm)],[7352, 7196])).
% 27.46/18.04 tff(7354,plain,
% 27.46/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB48, 0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB48, 0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 0)))),
% 27.46/18.04 inference(rewrite,[status(thm)],[])).
% 27.46/18.04 tff(7355,plain,
% 27.46/18.04 (((~nextState(constB48, constB49)) | v90(constB48, 0) | v100(constB49) | (~v90(constB49, 0))) <=> (v90(constB48, 0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 0)))),
% 27.46/18.04 inference(rewrite,[status(thm)],[])).
% 27.46/18.04 tff(7356,plain,
% 27.46/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB48, constB49)) | v90(constB48, 0) | v100(constB49) | (~v90(constB49, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB48, 0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 0))))),
% 27.46/18.04 inference(monotonicity,[status(thm)],[7355])).
% 27.46/18.04 tff(7357,plain,
% 27.46/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB48, constB49)) | v90(constB48, 0) | v100(constB49) | (~v90(constB49, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB48, 0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 0)))),
% 27.46/18.04 inference(transitivity,[status(thm)],[7356, 7354])).
% 27.46/18.04 tff(7358,plain,
% 27.46/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB48, constB49)) | v90(constB48, 0) | v100(constB49) | (~v90(constB49, 0)))),
% 27.46/18.04 inference(quant_inst,[status(thm)],[])).
% 27.46/18.04 tff(7359,plain,
% 27.46/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB48, 0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 0))),
% 27.46/18.04 inference(modus_ponens,[status(thm)],[7358, 7357])).
% 27.46/18.04 tff(7360,plain,
% 27.46/18.04 (v90(constB48, 0) | v100(constB49) | (~v90(constB49, 0))),
% 27.46/18.04 inference(unit_resolution,[status(thm)],[7359, 212, 7228])).
% 27.46/18.04 tff(7361,plain,
% 27.46/18.04 (v90(constB48, 0) | (~v90(constB49, 0))),
% 27.46/18.04 inference(unit_resolution,[status(thm)],[7360, 7240])).
% 27.46/18.04 tff(7362,plain,
% 27.46/18.04 (~v90(constB49, 0)),
% 27.46/18.04 inference(unit_resolution,[status(thm)],[7361, 7353])).
% 27.46/18.04 tff(7363,plain,
% 27.46/18.04 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB49, 0) | (~v90(constB49, 1)) | (~v90(constB49, 2)) | v125(constB49))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB49, 0) | (~v90(constB49, 1)) | (~v90(constB49, 2)) | v125(constB49))),
% 27.46/18.04 inference(rewrite,[status(thm)],[])).
% 27.46/18.04 tff(7364,plain,
% 27.46/18.04 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB49, 0) | (~v90(constB49, 1)) | (~v90(constB49, 2)) | v125(constB49))),
% 27.46/18.04 inference(quant_inst,[status(thm)],[])).
% 27.46/18.04 tff(7365,plain,
% 27.46/18.04 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB49, 0) | (~v90(constB49, 1)) | (~v90(constB49, 2)) | v125(constB49)),
% 27.46/18.04 inference(modus_ponens,[status(thm)],[7364, 7363])).
% 27.46/18.04 tff(7366,plain,
% 27.46/18.04 (v125(constB49)),
% 27.46/18.04 inference(unit_resolution,[status(thm)],[7365, 2011, 7362, 7288, 7249])).
% 27.46/18.04 tff(7367,plain,
% 27.46/18.04 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB49) | (~v125(constB49)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB49) | (~v125(constB49)))),
% 27.46/18.04 inference(rewrite,[status(thm)],[])).
% 27.46/18.04 tff(7368,plain,
% 27.46/18.04 (((~v125(constB49)) | v113(constB49)) <=> (v113(constB49) | (~v125(constB49)))),
% 27.46/18.04 inference(rewrite,[status(thm)],[])).
% 27.46/18.04 tff(7369,plain,
% 27.46/18.04 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB49)) | v113(constB49))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB49) | (~v125(constB49))))),
% 27.46/18.04 inference(monotonicity,[status(thm)],[7368])).
% 27.46/18.04 tff(7370,plain,
% 27.46/18.04 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB49)) | v113(constB49))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB49) | (~v125(constB49)))),
% 27.46/18.04 inference(transitivity,[status(thm)],[7369, 7367])).
% 27.46/18.04 tff(7371,plain,
% 27.46/18.04 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB49)) | v113(constB49))),
% 27.46/18.04 inference(quant_inst,[status(thm)],[])).
% 27.46/18.04 tff(7372,plain,
% 27.46/18.04 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB49) | (~v125(constB49))),
% 27.46/18.04 inference(modus_ponens,[status(thm)],[7371, 7370])).
% 27.46/18.04 tff(7373,plain,
% 27.46/18.04 (v113(constB49)),
% 27.46/18.04 inference(unit_resolution,[status(thm)],[7372, 2022, 7366])).
% 27.46/18.04 tff(7374,assumption,(~v108(constB49)), introduced(assumption)).
% 27.46/18.04 tff(7375,plain,
% 27.46/18.04 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB49) | (~v112(constB49)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v112(constB49)))),
% 27.46/18.04 inference(rewrite,[status(thm)],[])).
% 27.46/18.04 tff(7376,plain,
% 27.46/18.04 (((~v112(constB49)) | v108(constB49)) <=> (v108(constB49) | (~v112(constB49)))),
% 27.46/18.04 inference(rewrite,[status(thm)],[])).
% 27.46/18.04 tff(7377,plain,
% 27.46/18.04 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB49)) | v108(constB49))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB49) | (~v112(constB49))))),
% 27.46/18.04 inference(monotonicity,[status(thm)],[7376])).
% 27.46/18.04 tff(7378,plain,
% 27.46/18.04 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB49)) | v108(constB49))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v112(constB49)))),
% 27.46/18.04 inference(transitivity,[status(thm)],[7377, 7375])).
% 27.46/18.04 tff(7379,plain,
% 27.46/18.04 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB49)) | v108(constB49))),
% 27.46/18.04 inference(quant_inst,[status(thm)],[])).
% 27.46/18.04 tff(7380,plain,
% 27.46/18.04 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v112(constB49))),
% 27.46/18.04 inference(modus_ponens,[status(thm)],[7379, 7378])).
% 27.46/18.04 tff(7381,plain,
% 27.46/18.04 (~v112(constB49)),
% 27.46/18.04 inference(unit_resolution,[status(thm)],[7380, 340, 7374])).
% 27.46/18.04 tff(7382,plain,
% 27.46/18.04 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB49) | (~v26(constB49)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v26(constB49)))),
% 27.46/18.04 inference(rewrite,[status(thm)],[])).
% 27.46/18.04 tff(7383,plain,
% 27.46/18.04 (((~v26(constB49)) | v108(constB49)) <=> (v108(constB49) | (~v26(constB49)))),
% 27.46/18.04 inference(rewrite,[status(thm)],[])).
% 27.46/18.04 tff(7384,plain,
% 27.46/18.04 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB49)) | v108(constB49))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB49) | (~v26(constB49))))),
% 27.46/18.04 inference(monotonicity,[status(thm)],[7383])).
% 27.46/18.04 tff(7385,plain,
% 27.46/18.04 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB49)) | v108(constB49))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v26(constB49)))),
% 27.46/18.04 inference(transitivity,[status(thm)],[7384, 7382])).
% 27.46/18.04 tff(7386,plain,
% 27.46/18.04 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB49)) | v108(constB49))),
% 27.46/18.04 inference(quant_inst,[status(thm)],[])).
% 27.46/18.04 tff(7387,plain,
% 27.46/18.04 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v26(constB49))),
% 27.46/18.04 inference(modus_ponens,[status(thm)],[7386, 7385])).
% 27.46/18.04 tff(7388,plain,
% 27.46/18.04 (~v26(constB49)),
% 27.46/18.04 inference(unit_resolution,[status(thm)],[7387, 6750, 7374])).
% 27.46/18.04 tff(7389,assumption,(v113(constB49)), introduced(assumption)).
% 27.46/18.04 tff(7390,plain,
% 27.46/18.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | v112(constB49) | (~v113(constB49)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | v112(constB49) | (~v113(constB49)))),
% 27.46/18.04 inference(rewrite,[status(thm)],[])).
% 27.46/18.04 tff(7391,plain,
% 27.46/18.04 ((v26(constB49) | (~v113(constB49)) | v112(constB49)) <=> (v26(constB49) | v112(constB49) | (~v113(constB49)))),
% 27.46/18.04 inference(rewrite,[status(thm)],[])).
% 27.46/18.04 tff(7392,plain,
% 27.46/18.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | v112(constB49) | (~v113(constB49))))),
% 27.46/18.04 inference(monotonicity,[status(thm)],[7391])).
% 27.46/18.04 tff(7393,plain,
% 27.46/18.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | v112(constB49) | (~v113(constB49)))),
% 27.46/18.04 inference(transitivity,[status(thm)],[7392, 7390])).
% 27.46/18.04 tff(7394,plain,
% 27.46/18.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))),
% 27.46/18.04 inference(quant_inst,[status(thm)],[])).
% 27.46/18.04 tff(7395,plain,
% 27.46/18.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | v112(constB49) | (~v113(constB49))),
% 27.46/18.04 inference(modus_ponens,[status(thm)],[7394, 7393])).
% 27.46/18.04 tff(7396,plain,
% 27.46/18.04 (v26(constB49) | v112(constB49)),
% 27.46/18.04 inference(unit_resolution,[status(thm)],[7395, 328, 7389])).
% 27.52/18.04 tff(7397,plain,
% 27.52/18.04 ($false),
% 27.52/18.04 inference(unit_resolution,[status(thm)],[7396, 7388, 7381])).
% 27.52/18.04 tff(7398,plain,(v108(constB49) | (~v113(constB49))), inference(lemma,lemma(discharge,[]))).
% 27.52/18.04 tff(7399,plain,
% 27.52/18.04 (v108(constB49)),
% 27.52/18.04 inference(unit_resolution,[status(thm)],[7398, 7373])).
% 27.52/18.04 tff(7400,plain,
% 27.52/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 27.52/18.04 inference(rewrite,[status(thm)],[])).
% 27.52/18.04 tff(7401,plain,
% 27.52/18.04 (((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50)) <=> ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 27.52/18.04 inference(rewrite,[status(thm)],[])).
% 27.52/18.04 tff(7402,plain,
% 27.52/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49))))),
% 27.52/18.04 inference(monotonicity,[status(thm)],[7401])).
% 27.52/18.04 tff(7403,plain,
% 27.52/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 27.52/18.04 inference(transitivity,[status(thm)],[7402, 7400])).
% 27.52/18.04 tff(7404,plain,
% 27.52/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))),
% 27.52/18.04 inference(quant_inst,[status(thm)],[])).
% 27.52/18.04 tff(7405,plain,
% 27.52/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49))),
% 27.52/18.04 inference(modus_ponens,[status(thm)],[7404, 7403])).
% 27.52/18.04 tff(7406,plain,
% 27.52/18.04 (v110(constB50) | (~v108(constB49))),
% 27.52/18.04 inference(unit_resolution,[status(thm)],[7405, 360, 7323])).
% 27.52/18.04 tff(7407,plain,
% 27.52/18.04 (v110(constB50)),
% 27.52/18.04 inference(unit_resolution,[status(thm)],[7406, 7399])).
% 27.52/18.04 tff(7408,plain,
% 27.52/18.04 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))),
% 27.52/18.04 inference(rewrite,[status(thm)],[])).
% 27.52/18.04 tff(7409,plain,
% 27.52/18.04 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))),
% 27.52/18.04 inference(quant_inst,[status(thm)],[])).
% 27.52/18.04 tff(7410,plain,
% 27.52/18.04 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50))),
% 27.52/18.04 inference(modus_ponens,[status(thm)],[7409, 7408])).
% 27.52/18.04 tff(7411,plain,
% 27.52/18.04 (~v104(constB50)),
% 27.52/18.04 inference(unit_resolution,[status(thm)],[7410, 378, 7323, 7225])).
% 27.52/18.04 tff(7412,plain,
% 27.52/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))),
% 27.52/18.04 inference(rewrite,[status(thm)],[])).
% 27.52/18.04 tff(7413,plain,
% 27.52/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))),
% 27.52/18.04 inference(quant_inst,[status(thm)],[])).
% 27.52/18.04 tff(7414,plain,
% 27.52/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB49, constB50)) | v102(constB50) | v104(constB50)),
% 27.52/18.04 inference(modus_ponens,[status(thm)],[7413, 7412])).
% 27.52/18.04 tff(7415,plain,
% 27.52/18.04 (v102(constB50) | v104(constB50)),
% 27.52/18.04 inference(unit_resolution,[status(thm)],[7414, 392, 7323])).
% 27.52/18.04 tff(7416,plain,
% 27.52/18.04 (v102(constB50)),
% 27.52/18.04 inference(unit_resolution,[status(thm)],[7415, 7411])).
% 27.52/18.04 tff(7417,plain,
% 27.52/18.04 (v1(constB50) <=> v1(constB50)),
% 27.52/18.04 inference(rewrite,[status(thm)],[])).
% 27.52/18.04 tff(7418,axiom,(v1(constB50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_50_1')).
% 27.52/18.04 tff(7419,plain,
% 27.52/18.04 (v1(constB50)),
% 27.52/18.04 inference(modus_ponens,[status(thm)],[7418, 7417])).
% 27.52/18.04 tff(7420,plain,
% 27.52/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))),
% 27.52/18.04 inference(rewrite,[status(thm)],[])).
% 27.52/18.04 tff(7421,plain,
% 27.52/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))),
% 27.52/18.04 inference(quant_inst,[status(thm)],[])).
% 27.52/18.04 tff(7422,plain,
% 27.52/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50))),
% 27.52/18.04 inference(modus_ponens,[status(thm)],[7421, 7420])).
% 27.52/18.04 tff(7423,plain,
% 27.52/18.04 (v101(constB50) | (~v102(constB50))),
% 27.52/18.04 inference(unit_resolution,[status(thm)],[7422, 410, 7323, 7419])).
% 27.52/18.04 tff(7424,plain,
% 27.52/18.04 (v101(constB50)),
% 27.52/18.04 inference(unit_resolution,[status(thm)],[7423, 7416])).
% 27.52/18.04 tff(7425,plain,
% 27.52/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 27.52/18.04 inference(rewrite,[status(thm)],[])).
% 27.52/18.04 tff(7426,plain,
% 27.52/18.04 (((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50)) <=> ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 27.52/18.04 inference(rewrite,[status(thm)],[])).
% 27.52/18.04 tff(7427,plain,
% 27.52/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50))))),
% 27.52/18.04 inference(monotonicity,[status(thm)],[7426])).
% 27.52/18.04 tff(7428,plain,
% 27.52/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 27.52/18.04 inference(transitivity,[status(thm)],[7427, 7425])).
% 27.52/18.04 tff(7429,plain,
% 27.52/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))),
% 27.52/18.04 inference(quant_inst,[status(thm)],[])).
% 27.52/18.04 tff(7430,plain,
% 27.52/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50))),
% 27.52/18.04 inference(modus_ponens,[status(thm)],[7429, 7428])).
% 27.52/18.04 tff(7431,plain,
% 27.52/18.04 (v100(constB50) | (~v101(constB50)) | (~v110(constB50))),
% 27.52/18.04 inference(unit_resolution,[status(thm)],[7430, 425, 7323])).
% 27.52/18.04 tff(7432,plain,
% 27.52/18.04 (v100(constB50) | (~v110(constB50))),
% 27.52/18.04 inference(unit_resolution,[status(thm)],[7431, 7424])).
% 27.52/18.04 tff(7433,plain,
% 27.52/18.04 (v100(constB50)),
% 27.52/18.04 inference(unit_resolution,[status(thm)],[7432, 7407])).
% 27.52/18.04 tff(7434,plain,
% 27.52/18.04 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB50, 2)) | v129(constB50, 2) | (~v100(constB50)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB50, 2)) | v129(constB50, 2) | (~v100(constB50)))),
% 27.52/18.04 inference(rewrite,[status(thm)],[])).
% 27.52/18.04 tff(7435,plain,
% 27.52/18.04 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB50, 2)) | v129(constB50, 2) | (~v100(constB50)))),
% 27.52/18.04 inference(quant_inst,[status(thm)],[])).
% 27.52/18.04 tff(7436,plain,
% 27.52/18.04 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB50, 2)) | v129(constB50, 2) | (~v100(constB50))),
% 27.52/18.04 inference(modus_ponens,[status(thm)],[7435, 7434])).
% 27.52/18.04 tff(7437,plain,
% 27.52/18.04 (~v90(constB50, 2)),
% 27.52/18.04 inference(unit_resolution,[status(thm)],[7436, 488, 7433, 7328])).
% 27.52/18.04 tff(7438,plain,
% 27.52/18.04 ((~v1(constB51)) <=> (~v1(constB51))),
% 27.52/18.04 inference(rewrite,[status(thm)],[])).
% 27.52/18.04 tff(7439,axiom,(~v1(constB51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_51_1_1')).
% 27.52/18.04 tff(7440,plain,
% 27.52/18.04 (~v1(constB51)),
% 27.52/18.04 inference(modus_ponens,[status(thm)],[7439, 7438])).
% 27.52/18.04 tff(7441,plain,
% 27.52/18.04 (nextState(constB50, constB51) <=> nextState(constB50, constB51)),
% 27.52/18.04 inference(rewrite,[status(thm)],[])).
% 27.52/18.04 tff(7442,axiom,(nextState(constB50, constB51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_50_1')).
% 27.52/18.04 tff(7443,plain,
% 27.52/18.04 (nextState(constB50, constB51)),
% 27.52/18.04 inference(modus_ponens,[status(thm)],[7442, 7441])).
% 27.52/18.04 tff(7444,plain,
% 27.52/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 27.52/18.04 inference(rewrite,[status(thm)],[])).
% 27.52/18.04 tff(7445,plain,
% 27.52/18.04 (((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51)) <=> (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 27.52/18.04 inference(rewrite,[status(thm)],[])).
% 27.52/18.04 tff(7446,plain,
% 27.52/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51))))),
% 27.52/18.04 inference(monotonicity,[status(thm)],[7445])).
% 27.52/18.04 tff(7447,plain,
% 27.52/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 27.52/18.04 inference(transitivity,[status(thm)],[7446, 7444])).
% 27.52/18.04 tff(7448,plain,
% 27.52/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))),
% 27.52/18.04 inference(quant_inst,[status(thm)],[])).
% 27.52/18.04 tff(7449,plain,
% 27.52/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51))),
% 27.52/18.04 inference(modus_ponens,[status(thm)],[7448, 7447])).
% 27.52/18.04 tff(7450,plain,
% 27.52/18.04 (~v101(constB51)),
% 27.52/18.04 inference(unit_resolution,[status(thm)],[7449, 138, 7443, 7440])).
% 27.52/18.04 tff(7451,plain,
% 27.52/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))),
% 27.52/18.04 inference(rewrite,[status(thm)],[])).
% 27.52/18.04 tff(7452,plain,
% 27.52/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))),
% 27.52/18.04 inference(quant_inst,[status(thm)],[])).
% 27.52/18.04 tff(7453,plain,
% 27.52/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51))),
% 27.52/18.04 inference(modus_ponens,[status(thm)],[7452, 7451])).
% 27.52/18.04 tff(7454,plain,
% 27.52/18.04 (v101(constB51) | (~v100(constB51))),
% 27.52/18.04 inference(unit_resolution,[status(thm)],[7453, 155, 7443])).
% 27.52/18.04 tff(7455,plain,
% 27.52/18.04 (~v100(constB51)),
% 27.52/18.04 inference(unit_resolution,[status(thm)],[7454, 7450])).
% 27.52/18.04 tff(7456,plain,
% 27.52/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB50, 2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB50, 2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 2)))),
% 27.52/18.04 inference(rewrite,[status(thm)],[])).
% 27.52/18.04 tff(7457,plain,
% 27.52/18.04 (((~nextState(constB50, constB51)) | v90(constB50, 2) | v100(constB51) | (~v90(constB51, 2))) <=> (v90(constB50, 2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 2)))),
% 27.52/18.04 inference(rewrite,[status(thm)],[])).
% 27.52/18.04 tff(7458,plain,
% 27.52/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB50, constB51)) | v90(constB50, 2) | v100(constB51) | (~v90(constB51, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB50, 2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 2))))),
% 27.52/18.04 inference(monotonicity,[status(thm)],[7457])).
% 27.52/18.04 tff(7459,plain,
% 27.52/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB50, constB51)) | v90(constB50, 2) | v100(constB51) | (~v90(constB51, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB50, 2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 2)))),
% 27.52/18.04 inference(transitivity,[status(thm)],[7458, 7456])).
% 27.52/18.04 tff(7460,plain,
% 27.52/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB50, constB51)) | v90(constB50, 2) | v100(constB51) | (~v90(constB51, 2)))),
% 27.52/18.04 inference(quant_inst,[status(thm)],[])).
% 27.52/18.04 tff(7461,plain,
% 27.52/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB50, 2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 2))),
% 27.52/18.04 inference(modus_ponens,[status(thm)],[7460, 7459])).
% 27.52/18.04 tff(7462,plain,
% 27.52/18.04 (v90(constB50, 2) | v100(constB51) | (~v90(constB51, 2))),
% 27.52/18.04 inference(unit_resolution,[status(thm)],[7461, 170, 7443])).
% 27.52/18.04 tff(7463,plain,
% 27.52/18.04 (v90(constB50, 2) | (~v90(constB51, 2))),
% 27.52/18.04 inference(unit_resolution,[status(thm)],[7462, 7455])).
% 27.52/18.04 tff(7464,plain,
% 27.52/18.04 (~v90(constB51, 2)),
% 27.52/18.04 inference(unit_resolution,[status(thm)],[7463, 7437])).
% 27.52/18.04 tff(7465,plain,
% 27.52/18.04 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 1)))),
% 27.52/18.04 inference(rewrite,[status(thm)],[])).
% 27.52/18.04 tff(7466,plain,
% 27.52/18.04 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 1)))),
% 27.52/18.04 inference(quant_inst,[status(thm)],[])).
% 27.52/18.04 tff(7467,plain,
% 27.52/18.04 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 1))),
% 27.52/18.04 inference(modus_ponens,[status(thm)],[7466, 7465])).
% 27.52/18.04 tff(7468,plain,
% 27.52/18.04 (~v130(constB49, 1)),
% 27.52/18.04 inference(unit_resolution,[status(thm)],[7467, 2214, 7304, 7300, 7296, 7292, 7257, 7253])).
% 27.52/18.04 tff(7469,plain,
% 27.52/18.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB49, 1)) | v26(constB49) | v130(constB49, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB49, 1)) | v26(constB49) | v130(constB49, 1))),
% 27.52/18.04 inference(rewrite,[status(thm)],[])).
% 27.52/18.04 tff(7470,plain,
% 27.52/18.04 ((v26(constB49) | v130(constB49, 1) | (~v127(constB49, 1))) <=> ((~v127(constB49, 1)) | v26(constB49) | v130(constB49, 1))),
% 27.52/18.04 inference(rewrite,[status(thm)],[])).
% 27.52/18.04 tff(7471,plain,
% 27.52/18.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB49) | v130(constB49, 1) | (~v127(constB49, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB49, 1)) | v26(constB49) | v130(constB49, 1)))),
% 27.52/18.04 inference(monotonicity,[status(thm)],[7470])).
% 27.52/18.04 tff(7472,plain,
% 27.52/18.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB49) | v130(constB49, 1) | (~v127(constB49, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB49, 1)) | v26(constB49) | v130(constB49, 1))),
% 27.52/18.04 inference(transitivity,[status(thm)],[7471, 7469])).
% 27.52/18.04 tff(7473,plain,
% 27.52/18.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB49) | v130(constB49, 1) | (~v127(constB49, 1)))),
% 27.52/18.04 inference(quant_inst,[status(thm)],[])).
% 27.52/18.04 tff(7474,plain,
% 27.52/18.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB49, 1)) | v26(constB49) | v130(constB49, 1)),
% 27.52/18.04 inference(modus_ponens,[status(thm)],[7473, 7472])).
% 27.52/18.04 tff(7475,plain,
% 27.52/18.04 ((~v127(constB49, 1)) | v130(constB49, 1)),
% 27.52/18.04 inference(unit_resolution,[status(thm)],[7474, 541, 7312])).
% 27.52/18.04 tff(7476,plain,
% 27.52/18.04 (~v127(constB49, 1)),
% 27.52/18.04 inference(unit_resolution,[status(thm)],[7475, 7468])).
% 27.52/18.04 tff(7477,plain,
% 27.52/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB49, constB50)) | v127(constB49, 1) | (~v129(constB50, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB49, constB50)) | v127(constB49, 1) | (~v129(constB50, 1)))),
% 27.52/18.04 inference(rewrite,[status(thm)],[])).
% 27.52/18.04 tff(7478,plain,
% 27.52/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB49, constB50)) | v127(constB49, 1) | (~v129(constB50, 1)))),
% 27.52/18.04 inference(quant_inst,[status(thm)],[])).
% 27.52/18.04 tff(7479,plain,
% 27.52/18.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB49, constB50)) | v127(constB49, 1) | (~v129(constB50, 1))),
% 27.52/18.04 inference(modus_ponens,[status(thm)],[7478, 7477])).
% 27.52/18.04 tff(7480,plain,
% 27.52/18.04 (v127(constB49, 1) | (~v129(constB50, 1))),
% 27.52/18.04 inference(unit_resolution,[status(thm)],[7479, 559, 7323])).
% 27.52/18.04 tff(7481,plain,
% 27.52/18.04 (~v129(constB50, 1)),
% 27.52/18.04 inference(unit_resolution,[status(thm)],[7480, 7476])).
% 27.52/18.04 tff(7482,plain,
% 27.52/18.04 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB50, 1)) | v129(constB50, 1) | (~v100(constB50)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB50, 1)) | v129(constB50, 1) | (~v100(constB50)))),
% 27.52/18.04 inference(rewrite,[status(thm)],[])).
% 27.52/18.04 tff(7483,plain,
% 27.52/18.04 (((~v90(constB50, 1)) | (~v100(constB50)) | v129(constB50, 1)) <=> ((~v90(constB50, 1)) | v129(constB50, 1) | (~v100(constB50)))),
% 27.52/18.04 inference(rewrite,[status(thm)],[])).
% 27.52/18.04 tff(7484,plain,
% 27.52/18.04 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB50, 1)) | (~v100(constB50)) | v129(constB50, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB50, 1)) | v129(constB50, 1) | (~v100(constB50))))),
% 27.52/18.04 inference(monotonicity,[status(thm)],[7483])).
% 27.52/18.04 tff(7485,plain,
% 27.52/18.04 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB50, 1)) | (~v100(constB50)) | v129(constB50, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB50, 1)) | v129(constB50, 1) | (~v100(constB50)))),
% 27.52/18.04 inference(transitivity,[status(thm)],[7484, 7482])).
% 27.52/18.04 tff(7486,plain,
% 27.52/18.04 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB50, 1)) | (~v100(constB50)) | v129(constB50, 1))),
% 27.52/18.04 inference(quant_inst,[status(thm)],[])).
% 27.52/18.04 tff(7487,plain,
% 27.52/18.04 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB50, 1)) | v129(constB50, 1) | (~v100(constB50))),
% 27.52/18.04 inference(modus_ponens,[status(thm)],[7486, 7485])).
% 27.52/18.04 tff(7488,plain,
% 27.52/18.04 (~v90(constB50, 1)),
% 27.52/18.04 inference(unit_resolution,[status(thm)],[7487, 574, 7433, 7481])).
% 27.52/18.04 tff(7489,plain,
% 27.52/18.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB50, 1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB50, 1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 1)))),
% 27.52/18.04 inference(rewrite,[status(thm)],[])).
% 27.52/18.04 tff(7490,plain,
% 27.52/18.04 (((~nextState(constB50, constB51)) | v90(constB50, 1) | v100(constB51) | (~v90(constB51, 1))) <=> (v90(constB50, 1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 1)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7491,plain,
% 27.52/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB50, constB51)) | v90(constB50, 1) | v100(constB51) | (~v90(constB51, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB50, 1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 1))))),
% 27.52/18.05 inference(monotonicity,[status(thm)],[7490])).
% 27.52/18.05 tff(7492,plain,
% 27.52/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB50, constB51)) | v90(constB50, 1) | v100(constB51) | (~v90(constB51, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB50, 1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 1)))),
% 27.52/18.05 inference(transitivity,[status(thm)],[7491, 7489])).
% 27.52/18.05 tff(7493,plain,
% 27.52/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB50, constB51)) | v90(constB50, 1) | v100(constB51) | (~v90(constB51, 1)))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7494,plain,
% 27.52/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB50, 1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 1))),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7493, 7492])).
% 27.52/18.05 tff(7495,plain,
% 27.52/18.05 (v90(constB50, 1) | v100(constB51) | (~v90(constB51, 1))),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7494, 191, 7443])).
% 27.52/18.05 tff(7496,plain,
% 27.52/18.05 (v90(constB50, 1) | (~v90(constB51, 1))),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7495, 7455])).
% 27.52/18.05 tff(7497,plain,
% 27.52/18.05 (~v90(constB51, 1)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7496, 7488])).
% 27.52/18.05 tff(7498,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, 0))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7499,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, 0))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7500,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, 0)),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7499, 7498])).
% 27.52/18.05 tff(7501,plain,
% 27.52/18.05 (v130(constB49, 0)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7500, 2258, 7304, 7300, 7296, 7292, 7257, 7253])).
% 27.52/18.05 tff(7502,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB49) | (~v130(constB49, 0)) | v127(constB49, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB49) | (~v130(constB49, 0)) | v127(constB49, 0))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7503,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB49) | (~v130(constB49, 0)) | v127(constB49, 0))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7504,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB49) | (~v130(constB49, 0)) | v127(constB49, 0)),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7503, 7502])).
% 27.52/18.05 tff(7505,plain,
% 27.52/18.05 ((~v130(constB49, 0)) | v127(constB49, 0)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7504, 612, 7312])).
% 27.52/18.05 tff(7506,plain,
% 27.52/18.05 (v127(constB49, 0)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7505, 7501])).
% 27.52/18.05 tff(7507,plain,
% 27.52/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB49, constB50)) | (~v127(constB49, 0)) | v129(constB50, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB49, constB50)) | (~v127(constB49, 0)) | v129(constB50, 0))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7508,plain,
% 27.52/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB49, constB50)) | (~v127(constB49, 0)) | v129(constB50, 0))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7509,plain,
% 27.52/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB49, constB50)) | (~v127(constB49, 0)) | v129(constB50, 0)),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7508, 7507])).
% 27.52/18.05 tff(7510,plain,
% 27.52/18.05 ((~v127(constB49, 0)) | v129(constB50, 0)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7509, 627, 7323])).
% 27.52/18.05 tff(7511,plain,
% 27.52/18.05 (v129(constB50, 0)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7510, 7506])).
% 27.52/18.05 tff(7512,plain,
% 27.52/18.05 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB50, 0) | (~v129(constB50, 0)) | (~v100(constB50)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB50, 0) | (~v129(constB50, 0)) | (~v100(constB50)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7513,plain,
% 27.52/18.05 ((v90(constB50, 0) | (~v100(constB50)) | (~v129(constB50, 0))) <=> (v90(constB50, 0) | (~v129(constB50, 0)) | (~v100(constB50)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7514,plain,
% 27.52/18.05 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB50, 0) | (~v100(constB50)) | (~v129(constB50, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB50, 0) | (~v129(constB50, 0)) | (~v100(constB50))))),
% 27.52/18.05 inference(monotonicity,[status(thm)],[7513])).
% 27.52/18.05 tff(7515,plain,
% 27.52/18.05 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB50, 0) | (~v100(constB50)) | (~v129(constB50, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB50, 0) | (~v129(constB50, 0)) | (~v100(constB50)))),
% 27.52/18.05 inference(transitivity,[status(thm)],[7514, 7512])).
% 27.52/18.05 tff(7516,plain,
% 27.52/18.05 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB50, 0) | (~v100(constB50)) | (~v129(constB50, 0)))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7517,plain,
% 27.52/18.05 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB50, 0) | (~v129(constB50, 0)) | (~v100(constB50))),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7516, 7515])).
% 27.52/18.05 tff(7518,plain,
% 27.52/18.05 (v90(constB50, 0)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7517, 642, 7433, 7511])).
% 27.52/18.05 tff(7519,plain,
% 27.52/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB50, 0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB50, 0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, 0))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7520,plain,
% 27.52/18.05 (((~nextState(constB50, constB51)) | (~v90(constB50, 0)) | v100(constB51) | v90(constB51, 0)) <=> ((~v90(constB50, 0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, 0))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7521,plain,
% 27.52/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, 0)) | v100(constB51) | v90(constB51, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB50, 0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, 0)))),
% 27.52/18.05 inference(monotonicity,[status(thm)],[7520])).
% 27.52/18.05 tff(7522,plain,
% 27.52/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, 0)) | v100(constB51) | v90(constB51, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB50, 0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, 0))),
% 27.52/18.05 inference(transitivity,[status(thm)],[7521, 7519])).
% 27.52/18.05 tff(7523,plain,
% 27.52/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, 0)) | v100(constB51) | v90(constB51, 0))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7524,plain,
% 27.52/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB50, 0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, 0)),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7523, 7522])).
% 27.52/18.05 tff(7525,plain,
% 27.52/18.05 ((~v90(constB50, 0)) | v100(constB51) | v90(constB51, 0)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7524, 660, 7443])).
% 27.52/18.05 tff(7526,plain,
% 27.52/18.05 ((~v90(constB50, 0)) | v90(constB51, 0)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7525, 7455])).
% 27.52/18.05 tff(7527,plain,
% 27.52/18.05 (v90(constB51, 0)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7526, 7518])).
% 27.52/18.05 tff(7528,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB51, 0)) | v90(constB51, 1) | v90(constB51, 2) | v120(constB51))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB51, 0)) | v90(constB51, 1) | v90(constB51, 2) | v120(constB51))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7529,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB51, 0)) | v90(constB51, 1) | v90(constB51, 2) | v120(constB51))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7530,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB51, 0)) | v90(constB51, 1) | v90(constB51, 2) | v120(constB51)),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7529, 7528])).
% 27.52/18.05 tff(7531,plain,
% 27.52/18.05 (v120(constB51)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7530, 679, 7527, 7497, 7464])).
% 27.52/18.05 tff(7532,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB51) | (~v120(constB51)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB51) | (~v120(constB51)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7533,plain,
% 27.52/18.05 (((~v120(constB51)) | v118(constB51)) <=> (v118(constB51) | (~v120(constB51)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7534,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB51)) | v118(constB51))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB51) | (~v120(constB51))))),
% 27.52/18.05 inference(monotonicity,[status(thm)],[7533])).
% 27.52/18.05 tff(7535,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB51)) | v118(constB51))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB51) | (~v120(constB51)))),
% 27.52/18.05 inference(transitivity,[status(thm)],[7534, 7532])).
% 27.52/18.05 tff(7536,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB51)) | v118(constB51))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7537,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB51) | (~v120(constB51))),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7536, 7535])).
% 27.52/18.05 tff(7538,plain,
% 27.52/18.05 (v118(constB51)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7537, 690, 7531])).
% 27.52/18.05 tff(7539,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB51)) | v117(constB51))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB51)) | v117(constB51))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7540,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB51)) | v117(constB51))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7541,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB51)) | v117(constB51)),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7540, 7539])).
% 27.52/18.05 tff(7542,plain,
% 27.52/18.05 (v117(constB51)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7541, 258, 7538])).
% 27.52/18.05 tff(7543,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB51) | (~v117(constB51)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB51) | (~v117(constB51)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7544,plain,
% 27.52/18.05 (((~v117(constB51)) | v116(constB51)) <=> (v116(constB51) | (~v117(constB51)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7545,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB51)) | v116(constB51))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB51) | (~v117(constB51))))),
% 27.52/18.05 inference(monotonicity,[status(thm)],[7544])).
% 27.52/18.05 tff(7546,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB51)) | v116(constB51))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB51) | (~v117(constB51)))),
% 27.52/18.05 inference(transitivity,[status(thm)],[7545, 7543])).
% 27.52/18.05 tff(7547,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB51)) | v116(constB51))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7548,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB51) | (~v117(constB51))),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7547, 7546])).
% 27.52/18.05 tff(7549,plain,
% 27.52/18.05 (v116(constB51)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7548, 272, 7542])).
% 27.52/18.05 tff(7550,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB51) | (~v116(constB51)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB51) | (~v116(constB51)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7551,plain,
% 27.52/18.05 (((~v116(constB51)) | v115(constB51)) <=> (v115(constB51) | (~v116(constB51)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7552,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB51)) | v115(constB51))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB51) | (~v116(constB51))))),
% 27.52/18.05 inference(monotonicity,[status(thm)],[7551])).
% 27.52/18.05 tff(7553,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB51)) | v115(constB51))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB51) | (~v116(constB51)))),
% 27.52/18.05 inference(transitivity,[status(thm)],[7552, 7550])).
% 27.52/18.05 tff(7554,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB51)) | v115(constB51))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7555,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB51) | (~v116(constB51))),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7554, 7553])).
% 27.52/18.05 tff(7556,plain,
% 27.52/18.05 (v115(constB51)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7555, 286, 7549])).
% 27.52/18.05 tff(7557,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB51) | (~v115(constB51)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB51) | (~v115(constB51)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7558,plain,
% 27.52/18.05 (((~v115(constB51)) | v114(constB51)) <=> (v114(constB51) | (~v115(constB51)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7559,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB51)) | v114(constB51))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB51) | (~v115(constB51))))),
% 27.52/18.05 inference(monotonicity,[status(thm)],[7558])).
% 27.52/18.05 tff(7560,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB51)) | v114(constB51))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB51) | (~v115(constB51)))),
% 27.52/18.05 inference(transitivity,[status(thm)],[7559, 7557])).
% 27.52/18.05 tff(7561,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB51)) | v114(constB51))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7562,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB51) | (~v115(constB51))),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7561, 7560])).
% 27.52/18.05 tff(7563,plain,
% 27.52/18.05 (v114(constB51)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7562, 300, 7556])).
% 27.52/18.05 tff(7564,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB51) | (~v114(constB51)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB51) | (~v114(constB51)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7565,plain,
% 27.52/18.05 (((~v114(constB51)) | v113(constB51)) <=> (v113(constB51) | (~v114(constB51)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7566,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB51)) | v113(constB51))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB51) | (~v114(constB51))))),
% 27.52/18.05 inference(monotonicity,[status(thm)],[7565])).
% 27.52/18.05 tff(7567,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB51)) | v113(constB51))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB51) | (~v114(constB51)))),
% 27.52/18.05 inference(transitivity,[status(thm)],[7566, 7564])).
% 27.52/18.05 tff(7568,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB51)) | v113(constB51))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7569,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB51) | (~v114(constB51))),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7568, 7567])).
% 27.52/18.05 tff(7570,plain,
% 27.52/18.05 (v113(constB51)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7569, 314, 7563])).
% 27.52/18.05 tff(7571,assumption,(v26(constB51)), introduced(assumption)).
% 27.52/18.05 tff(7572,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB51))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7573,plain,
% 27.52/18.05 ($false),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7572, 95, 7571])).
% 27.52/18.05 tff(7574,plain,(~v26(constB51)), inference(lemma,lemma(discharge,[]))).
% 27.52/18.05 tff(7575,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | v112(constB51) | (~v113(constB51)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | v112(constB51) | (~v113(constB51)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7576,plain,
% 27.52/18.05 ((v26(constB51) | (~v113(constB51)) | v112(constB51)) <=> (v26(constB51) | v112(constB51) | (~v113(constB51)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7577,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | v112(constB51) | (~v113(constB51))))),
% 27.52/18.05 inference(monotonicity,[status(thm)],[7576])).
% 27.52/18.05 tff(7578,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | v112(constB51) | (~v113(constB51)))),
% 27.52/18.05 inference(transitivity,[status(thm)],[7577, 7575])).
% 27.52/18.05 tff(7579,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7580,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | v112(constB51) | (~v113(constB51))),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7579, 7578])).
% 27.52/18.05 tff(7581,plain,
% 27.52/18.05 (v112(constB51) | (~v113(constB51))),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7580, 328, 7574])).
% 27.52/18.05 tff(7582,plain,
% 27.52/18.05 (v112(constB51)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7581, 7570])).
% 27.52/18.05 tff(7583,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB51) | (~v112(constB51)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB51) | (~v112(constB51)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7584,plain,
% 27.52/18.05 (((~v112(constB51)) | v108(constB51)) <=> (v108(constB51) | (~v112(constB51)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7585,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB51)) | v108(constB51))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB51) | (~v112(constB51))))),
% 27.52/18.05 inference(monotonicity,[status(thm)],[7584])).
% 27.52/18.05 tff(7586,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB51)) | v108(constB51))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB51) | (~v112(constB51)))),
% 27.52/18.05 inference(transitivity,[status(thm)],[7585, 7583])).
% 27.52/18.05 tff(7587,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB51)) | v108(constB51))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7588,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB51) | (~v112(constB51))),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7587, 7586])).
% 27.52/18.05 tff(7589,plain,
% 27.52/18.05 (v108(constB51)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7588, 340, 7582])).
% 27.52/18.05 tff(7590,plain,
% 27.52/18.05 (nextState(constB51, constB52) <=> nextState(constB51, constB52)),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7591,axiom,(nextState(constB51, constB52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_51_1')).
% 27.52/18.05 tff(7592,plain,
% 27.52/18.05 (nextState(constB51, constB52)),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7591, 7590])).
% 27.52/18.05 tff(7593,plain,
% 27.52/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7594,plain,
% 27.52/18.05 (((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52)) <=> ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7595,plain,
% 27.52/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51))))),
% 27.52/18.05 inference(monotonicity,[status(thm)],[7594])).
% 27.52/18.05 tff(7596,plain,
% 27.52/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 27.52/18.05 inference(transitivity,[status(thm)],[7595, 7593])).
% 27.52/18.05 tff(7597,plain,
% 27.52/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7598,plain,
% 27.52/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51))),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7597, 7596])).
% 27.52/18.05 tff(7599,plain,
% 27.52/18.05 (v110(constB52) | (~v108(constB51))),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7598, 360, 7592])).
% 27.52/18.05 tff(7600,plain,
% 27.52/18.05 (v110(constB52)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7599, 7589])).
% 27.52/18.05 tff(7601,plain,
% 27.52/18.05 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7602,plain,
% 27.52/18.05 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7603,plain,
% 27.52/18.05 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52))),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7602, 7601])).
% 27.52/18.05 tff(7604,plain,
% 27.52/18.05 (~v104(constB52)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7603, 378, 7592, 7440])).
% 27.52/18.05 tff(7605,plain,
% 27.52/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7606,plain,
% 27.52/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7607,plain,
% 27.52/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB51, constB52)) | v102(constB52) | v104(constB52)),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7606, 7605])).
% 27.52/18.05 tff(7608,plain,
% 27.52/18.05 (v102(constB52) | v104(constB52)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7607, 392, 7592])).
% 27.52/18.05 tff(7609,plain,
% 27.52/18.05 (v102(constB52)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7608, 7604])).
% 27.52/18.05 tff(7610,plain,
% 27.52/18.05 (v1(constB52) <=> v1(constB52)),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7611,axiom,(v1(constB52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_52_1')).
% 27.52/18.05 tff(7612,plain,
% 27.52/18.05 (v1(constB52)),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7611, 7610])).
% 27.52/18.05 tff(7613,plain,
% 27.52/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7614,plain,
% 27.52/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7615,plain,
% 27.52/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52))),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7614, 7613])).
% 27.52/18.05 tff(7616,plain,
% 27.52/18.05 (v101(constB52) | (~v102(constB52))),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7615, 410, 7592, 7612])).
% 27.52/18.05 tff(7617,plain,
% 27.52/18.05 (v101(constB52)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7616, 7609])).
% 27.52/18.05 tff(7618,plain,
% 27.52/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7619,plain,
% 27.52/18.05 (((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52)) <=> ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7620,plain,
% 27.52/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52))))),
% 27.52/18.05 inference(monotonicity,[status(thm)],[7619])).
% 27.52/18.05 tff(7621,plain,
% 27.52/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 27.52/18.05 inference(transitivity,[status(thm)],[7620, 7618])).
% 27.52/18.05 tff(7622,plain,
% 27.52/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7623,plain,
% 27.52/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52))),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7622, 7621])).
% 27.52/18.05 tff(7624,plain,
% 27.52/18.05 (v100(constB52) | (~v101(constB52)) | (~v110(constB52))),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7623, 425, 7592])).
% 27.52/18.05 tff(7625,plain,
% 27.52/18.05 (v100(constB52) | (~v110(constB52))),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7624, 7617])).
% 27.52/18.05 tff(7626,plain,
% 27.52/18.05 (v100(constB52)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7625, 7600])).
% 27.52/18.05 tff(7627,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB51)) | (~v130(constB51, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB51)) | (~v130(constB51, 2)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7628,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB51)) | (~v130(constB51, 2)))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7629,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB51)) | (~v130(constB51, 2))),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7628, 7627])).
% 27.52/18.05 tff(7630,plain,
% 27.52/18.05 (~v130(constB51, 2)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7629, 785, 7531])).
% 27.52/18.05 tff(7631,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB51, 2)) | v26(constB51) | v130(constB51, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB51, 2)) | v26(constB51) | v130(constB51, 2))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7632,plain,
% 27.52/18.05 ((v26(constB51) | v130(constB51, 2) | (~v127(constB51, 2))) <=> ((~v127(constB51, 2)) | v26(constB51) | v130(constB51, 2))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7633,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB51) | v130(constB51, 2) | (~v127(constB51, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB51, 2)) | v26(constB51) | v130(constB51, 2)))),
% 27.52/18.05 inference(monotonicity,[status(thm)],[7632])).
% 27.52/18.05 tff(7634,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB51) | v130(constB51, 2) | (~v127(constB51, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB51, 2)) | v26(constB51) | v130(constB51, 2))),
% 27.52/18.05 inference(transitivity,[status(thm)],[7633, 7631])).
% 27.52/18.05 tff(7635,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB51) | v130(constB51, 2) | (~v127(constB51, 2)))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7636,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB51, 2)) | v26(constB51) | v130(constB51, 2)),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7635, 7634])).
% 27.52/18.05 tff(7637,plain,
% 27.52/18.05 ((~v127(constB51, 2)) | v130(constB51, 2)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7636, 455, 7574])).
% 27.52/18.05 tff(7638,plain,
% 27.52/18.05 (~v127(constB51, 2)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7637, 7630])).
% 27.52/18.05 tff(7639,plain,
% 27.52/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB51, constB52)) | v127(constB51, 2) | (~v129(constB52, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB51, constB52)) | v127(constB51, 2) | (~v129(constB52, 2)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7640,plain,
% 27.52/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB51, constB52)) | v127(constB51, 2) | (~v129(constB52, 2)))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7641,plain,
% 27.52/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB51, constB52)) | v127(constB51, 2) | (~v129(constB52, 2))),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7640, 7639])).
% 27.52/18.05 tff(7642,plain,
% 27.52/18.05 (v127(constB51, 2) | (~v129(constB52, 2))),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7641, 473, 7592])).
% 27.52/18.05 tff(7643,plain,
% 27.52/18.05 (~v129(constB52, 2)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7642, 7638])).
% 27.52/18.05 tff(7644,plain,
% 27.52/18.05 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB52, 2)) | v129(constB52, 2) | (~v100(constB52)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB52, 2)) | v129(constB52, 2) | (~v100(constB52)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7645,plain,
% 27.52/18.05 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB52, 2)) | v129(constB52, 2) | (~v100(constB52)))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7646,plain,
% 27.52/18.05 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB52, 2)) | v129(constB52, 2) | (~v100(constB52))),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7645, 7644])).
% 27.52/18.05 tff(7647,plain,
% 27.52/18.05 ((~v90(constB52, 2)) | (~v100(constB52))),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7646, 488, 7643])).
% 27.52/18.05 tff(7648,plain,
% 27.52/18.05 (~v90(constB52, 2)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7647, 7626])).
% 27.52/18.05 tff(7649,plain,
% 27.52/18.05 ((~v1(constB53)) <=> (~v1(constB53))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7650,axiom,(~v1(constB53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_53_1_1')).
% 27.52/18.05 tff(7651,plain,
% 27.52/18.05 (~v1(constB53)),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7650, 7649])).
% 27.52/18.05 tff(7652,plain,
% 27.52/18.05 (nextState(constB52, constB53) <=> nextState(constB52, constB53)),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7653,axiom,(nextState(constB52, constB53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_52_1')).
% 27.52/18.05 tff(7654,plain,
% 27.52/18.05 (nextState(constB52, constB53)),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7653, 7652])).
% 27.52/18.05 tff(7655,plain,
% 27.52/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7656,plain,
% 27.52/18.05 (((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53)) <=> (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7657,plain,
% 27.52/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53))))),
% 27.52/18.05 inference(monotonicity,[status(thm)],[7656])).
% 27.52/18.05 tff(7658,plain,
% 27.52/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 27.52/18.05 inference(transitivity,[status(thm)],[7657, 7655])).
% 27.52/18.05 tff(7659,plain,
% 27.52/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7660,plain,
% 27.52/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53))),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7659, 7658])).
% 27.52/18.05 tff(7661,plain,
% 27.52/18.05 (~v101(constB53)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7660, 138, 7654, 7651])).
% 27.52/18.05 tff(7662,plain,
% 27.52/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7663,plain,
% 27.52/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7664,plain,
% 27.52/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53))),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7663, 7662])).
% 27.52/18.05 tff(7665,plain,
% 27.52/18.05 (v101(constB53) | (~v100(constB53))),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7664, 155, 7654])).
% 27.52/18.05 tff(7666,plain,
% 27.52/18.05 (~v100(constB53)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7665, 7661])).
% 27.52/18.05 tff(7667,plain,
% 27.52/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB52, 2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB52, 2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 2)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7668,plain,
% 27.52/18.05 (((~nextState(constB52, constB53)) | v90(constB52, 2) | v100(constB53) | (~v90(constB53, 2))) <=> (v90(constB52, 2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 2)))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7669,plain,
% 27.52/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB52, constB53)) | v90(constB52, 2) | v100(constB53) | (~v90(constB53, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB52, 2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 2))))),
% 27.52/18.05 inference(monotonicity,[status(thm)],[7668])).
% 27.52/18.05 tff(7670,plain,
% 27.52/18.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB52, constB53)) | v90(constB52, 2) | v100(constB53) | (~v90(constB53, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB52, 2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 2)))),
% 27.52/18.05 inference(transitivity,[status(thm)],[7669, 7667])).
% 27.52/18.05 tff(7671,plain,
% 27.52/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB52, constB53)) | v90(constB52, 2) | v100(constB53) | (~v90(constB53, 2)))),
% 27.52/18.05 inference(quant_inst,[status(thm)],[])).
% 27.52/18.05 tff(7672,plain,
% 27.52/18.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB52, 2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 2))),
% 27.52/18.05 inference(modus_ponens,[status(thm)],[7671, 7670])).
% 27.52/18.05 tff(7673,plain,
% 27.52/18.05 (v90(constB52, 2) | v100(constB53) | (~v90(constB53, 2))),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7672, 170, 7654])).
% 27.52/18.05 tff(7674,plain,
% 27.52/18.05 (v90(constB52, 2) | (~v90(constB53, 2))),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7673, 7666])).
% 27.52/18.05 tff(7675,plain,
% 27.52/18.05 (~v90(constB53, 2)),
% 27.52/18.05 inference(unit_resolution,[status(thm)],[7674, 7648])).
% 27.52/18.05 tff(7676,plain,
% 27.52/18.05 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB51)) | v130(constB51, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB51)) | v130(constB51, 1))),
% 27.52/18.05 inference(rewrite,[status(thm)],[])).
% 27.52/18.05 tff(7677,plain,
% 27.52/18.05 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB51)) | v130(constB51, 1))),
% 27.52/18.06 inference(quant_inst,[status(thm)],[])).
% 27.52/18.06 tff(7678,plain,
% 27.52/18.06 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB51)) | v130(constB51, 1)),
% 27.52/18.06 inference(modus_ponens,[status(thm)],[7677, 7676])).
% 27.52/18.06 tff(7679,plain,
% 27.52/18.06 (v130(constB51, 1)),
% 27.52/18.06 inference(unit_resolution,[status(thm)],[7678, 841, 7531])).
% 27.52/18.06 tff(7680,plain,
% 27.52/18.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB51) | (~v130(constB51, 1)) | v127(constB51, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB51) | (~v130(constB51, 1)) | v127(constB51, 1))),
% 27.52/18.06 inference(rewrite,[status(thm)],[])).
% 27.52/18.06 tff(7681,plain,
% 27.52/18.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB51) | (~v130(constB51, 1)) | v127(constB51, 1))),
% 27.52/18.06 inference(quant_inst,[status(thm)],[])).
% 27.52/18.06 tff(7682,plain,
% 27.52/18.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB51) | (~v130(constB51, 1)) | v127(constB51, 1)),
% 27.52/18.06 inference(modus_ponens,[status(thm)],[7681, 7680])).
% 27.52/18.06 tff(7683,plain,
% 27.52/18.06 ((~v130(constB51, 1)) | v127(constB51, 1)),
% 27.52/18.06 inference(unit_resolution,[status(thm)],[7682, 855, 7574])).
% 27.52/18.06 tff(7684,plain,
% 27.52/18.06 (v127(constB51, 1)),
% 27.52/18.06 inference(unit_resolution,[status(thm)],[7683, 7679])).
% 27.52/18.06 tff(7685,plain,
% 27.52/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB51, constB52)) | (~v127(constB51, 1)) | v129(constB52, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB51, constB52)) | (~v127(constB51, 1)) | v129(constB52, 1))),
% 27.52/18.06 inference(rewrite,[status(thm)],[])).
% 27.52/18.06 tff(7686,plain,
% 27.52/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB51, constB52)) | (~v127(constB51, 1)) | v129(constB52, 1))),
% 27.52/18.06 inference(quant_inst,[status(thm)],[])).
% 27.52/18.06 tff(7687,plain,
% 27.52/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB51, constB52)) | (~v127(constB51, 1)) | v129(constB52, 1)),
% 27.52/18.06 inference(modus_ponens,[status(thm)],[7686, 7685])).
% 27.52/18.06 tff(7688,plain,
% 27.52/18.06 ((~v127(constB51, 1)) | v129(constB52, 1)),
% 27.52/18.06 inference(unit_resolution,[status(thm)],[7687, 870, 7592])).
% 27.52/18.06 tff(7689,plain,
% 27.52/18.06 (v129(constB52, 1)),
% 27.52/18.06 inference(unit_resolution,[status(thm)],[7688, 7684])).
% 27.52/18.06 tff(7690,plain,
% 27.52/18.06 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB52, 1) | (~v129(constB52, 1)) | (~v100(constB52)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB52, 1) | (~v129(constB52, 1)) | (~v100(constB52)))),
% 27.52/18.06 inference(rewrite,[status(thm)],[])).
% 27.52/18.06 tff(7691,plain,
% 27.52/18.06 ((v90(constB52, 1) | (~v100(constB52)) | (~v129(constB52, 1))) <=> (v90(constB52, 1) | (~v129(constB52, 1)) | (~v100(constB52)))),
% 27.52/18.06 inference(rewrite,[status(thm)],[])).
% 27.52/18.06 tff(7692,plain,
% 27.52/18.06 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB52, 1) | (~v100(constB52)) | (~v129(constB52, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB52, 1) | (~v129(constB52, 1)) | (~v100(constB52))))),
% 27.52/18.06 inference(monotonicity,[status(thm)],[7691])).
% 27.52/18.06 tff(7693,plain,
% 27.52/18.06 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB52, 1) | (~v100(constB52)) | (~v129(constB52, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB52, 1) | (~v129(constB52, 1)) | (~v100(constB52)))),
% 27.52/18.06 inference(transitivity,[status(thm)],[7692, 7690])).
% 27.52/18.06 tff(7694,plain,
% 27.52/18.06 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB52, 1) | (~v100(constB52)) | (~v129(constB52, 1)))),
% 27.52/18.06 inference(quant_inst,[status(thm)],[])).
% 27.52/18.06 tff(7695,plain,
% 27.52/18.06 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB52, 1) | (~v129(constB52, 1)) | (~v100(constB52))),
% 27.52/18.06 inference(modus_ponens,[status(thm)],[7694, 7693])).
% 27.52/18.06 tff(7696,plain,
% 27.52/18.06 (v90(constB52, 1) | (~v100(constB52))),
% 27.52/18.06 inference(unit_resolution,[status(thm)],[7695, 885, 7689])).
% 27.52/18.06 tff(7697,plain,
% 27.52/18.06 (v90(constB52, 1)),
% 27.52/18.06 inference(unit_resolution,[status(thm)],[7696, 7626])).
% 27.52/18.06 tff(7698,plain,
% 27.52/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB52, 1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB52, 1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, 1))),
% 27.52/18.06 inference(rewrite,[status(thm)],[])).
% 27.52/18.06 tff(7699,plain,
% 27.52/18.06 (((~nextState(constB52, constB53)) | (~v90(constB52, 1)) | v100(constB53) | v90(constB53, 1)) <=> ((~v90(constB52, 1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, 1))),
% 27.52/18.06 inference(rewrite,[status(thm)],[])).
% 27.52/18.06 tff(7700,plain,
% 27.52/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB52, constB53)) | (~v90(constB52, 1)) | v100(constB53) | v90(constB53, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB52, 1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, 1)))),
% 27.52/18.06 inference(monotonicity,[status(thm)],[7699])).
% 27.52/18.06 tff(7701,plain,
% 27.52/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB52, constB53)) | (~v90(constB52, 1)) | v100(constB53) | v90(constB53, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB52, 1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, 1))),
% 27.52/18.06 inference(transitivity,[status(thm)],[7700, 7698])).
% 27.52/18.06 tff(7702,plain,
% 27.52/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB52, constB53)) | (~v90(constB52, 1)) | v100(constB53) | v90(constB53, 1))),
% 27.52/18.06 inference(quant_inst,[status(thm)],[])).
% 27.52/18.06 tff(7703,plain,
% 27.52/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB52, 1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, 1)),
% 27.52/18.06 inference(modus_ponens,[status(thm)],[7702, 7701])).
% 27.52/18.06 tff(7704,plain,
% 27.52/18.06 ((~v90(constB52, 1)) | v100(constB53) | v90(constB53, 1)),
% 27.52/18.06 inference(unit_resolution,[status(thm)],[7703, 903, 7654])).
% 27.52/18.06 tff(7705,plain,
% 27.52/18.06 ((~v90(constB52, 1)) | v90(constB53, 1)),
% 27.52/18.06 inference(unit_resolution,[status(thm)],[7704, 7666])).
% 27.52/18.06 tff(7706,plain,
% 27.52/18.06 (v90(constB53, 1)),
% 27.52/18.06 inference(unit_resolution,[status(thm)],[7705, 7697])).
% 27.52/18.06 tff(7707,plain,
% 27.52/18.06 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB51)) | (~v130(constB51, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB51)) | (~v130(constB51, 0)))),
% 27.52/18.06 inference(rewrite,[status(thm)],[])).
% 27.52/18.06 tff(7708,plain,
% 27.52/18.06 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB51)) | (~v130(constB51, 0)))),
% 27.52/18.06 inference(quant_inst,[status(thm)],[])).
% 27.52/18.06 tff(7709,plain,
% 27.52/18.06 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB51)) | (~v130(constB51, 0))),
% 27.52/18.06 inference(modus_ponens,[status(thm)],[7708, 7707])).
% 27.54/18.06 tff(7710,plain,
% 27.54/18.06 (~v130(constB51, 0)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7709, 919, 7531])).
% 27.54/18.06 tff(7711,plain,
% 27.54/18.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB51, 0)) | v26(constB51) | v130(constB51, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB51, 0)) | v26(constB51) | v130(constB51, 0))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7712,plain,
% 27.54/18.06 ((v26(constB51) | v130(constB51, 0) | (~v127(constB51, 0))) <=> ((~v127(constB51, 0)) | v26(constB51) | v130(constB51, 0))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7713,plain,
% 27.54/18.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB51) | v130(constB51, 0) | (~v127(constB51, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB51, 0)) | v26(constB51) | v130(constB51, 0)))),
% 27.54/18.06 inference(monotonicity,[status(thm)],[7712])).
% 27.54/18.06 tff(7714,plain,
% 27.54/18.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB51) | v130(constB51, 0) | (~v127(constB51, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB51, 0)) | v26(constB51) | v130(constB51, 0))),
% 27.54/18.06 inference(transitivity,[status(thm)],[7713, 7711])).
% 27.54/18.06 tff(7715,plain,
% 27.54/18.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB51) | v130(constB51, 0) | (~v127(constB51, 0)))),
% 27.54/18.06 inference(quant_inst,[status(thm)],[])).
% 27.54/18.06 tff(7716,plain,
% 27.54/18.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB51, 0)) | v26(constB51) | v130(constB51, 0)),
% 27.54/18.06 inference(modus_ponens,[status(thm)],[7715, 7714])).
% 27.54/18.06 tff(7717,plain,
% 27.54/18.06 ((~v127(constB51, 0)) | v130(constB51, 0)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7716, 933, 7574])).
% 27.54/18.06 tff(7718,plain,
% 27.54/18.06 (~v127(constB51, 0)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7717, 7710])).
% 27.54/18.06 tff(7719,plain,
% 27.54/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB51, constB52)) | v127(constB51, 0) | (~v129(constB52, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB51, constB52)) | v127(constB51, 0) | (~v129(constB52, 0)))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7720,plain,
% 27.54/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB51, constB52)) | v127(constB51, 0) | (~v129(constB52, 0)))),
% 27.54/18.06 inference(quant_inst,[status(thm)],[])).
% 27.54/18.06 tff(7721,plain,
% 27.54/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB51, constB52)) | v127(constB51, 0) | (~v129(constB52, 0))),
% 27.54/18.06 inference(modus_ponens,[status(thm)],[7720, 7719])).
% 27.54/18.06 tff(7722,plain,
% 27.54/18.06 (v127(constB51, 0) | (~v129(constB52, 0))),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7721, 951, 7592])).
% 27.54/18.06 tff(7723,plain,
% 27.54/18.06 (~v129(constB52, 0)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7722, 7718])).
% 27.54/18.06 tff(7724,plain,
% 27.54/18.06 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB52, 0)) | v129(constB52, 0) | (~v100(constB52)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB52, 0)) | v129(constB52, 0) | (~v100(constB52)))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7725,plain,
% 27.54/18.06 (((~v90(constB52, 0)) | (~v100(constB52)) | v129(constB52, 0)) <=> ((~v90(constB52, 0)) | v129(constB52, 0) | (~v100(constB52)))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7726,plain,
% 27.54/18.06 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB52, 0)) | (~v100(constB52)) | v129(constB52, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB52, 0)) | v129(constB52, 0) | (~v100(constB52))))),
% 27.54/18.06 inference(monotonicity,[status(thm)],[7725])).
% 27.54/18.06 tff(7727,plain,
% 27.54/18.06 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB52, 0)) | (~v100(constB52)) | v129(constB52, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB52, 0)) | v129(constB52, 0) | (~v100(constB52)))),
% 27.54/18.06 inference(transitivity,[status(thm)],[7726, 7724])).
% 27.54/18.06 tff(7728,plain,
% 27.54/18.06 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB52, 0)) | (~v100(constB52)) | v129(constB52, 0))),
% 27.54/18.06 inference(quant_inst,[status(thm)],[])).
% 27.54/18.06 tff(7729,plain,
% 27.54/18.06 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB52, 0)) | v129(constB52, 0) | (~v100(constB52))),
% 27.54/18.06 inference(modus_ponens,[status(thm)],[7728, 7727])).
% 27.54/18.06 tff(7730,plain,
% 27.54/18.06 ((~v90(constB52, 0)) | (~v100(constB52))),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7729, 966, 7723])).
% 27.54/18.06 tff(7731,plain,
% 27.54/18.06 (~v90(constB52, 0)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7730, 7626])).
% 27.54/18.06 tff(7732,plain,
% 27.54/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB52, 0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB52, 0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 0)))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7733,plain,
% 27.54/18.06 (((~nextState(constB52, constB53)) | v90(constB52, 0) | v100(constB53) | (~v90(constB53, 0))) <=> (v90(constB52, 0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 0)))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7734,plain,
% 27.54/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB52, constB53)) | v90(constB52, 0) | v100(constB53) | (~v90(constB53, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB52, 0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 0))))),
% 27.54/18.06 inference(monotonicity,[status(thm)],[7733])).
% 27.54/18.06 tff(7735,plain,
% 27.54/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB52, constB53)) | v90(constB52, 0) | v100(constB53) | (~v90(constB53, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB52, 0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 0)))),
% 27.54/18.06 inference(transitivity,[status(thm)],[7734, 7732])).
% 27.54/18.06 tff(7736,plain,
% 27.54/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB52, constB53)) | v90(constB52, 0) | v100(constB53) | (~v90(constB53, 0)))),
% 27.54/18.06 inference(quant_inst,[status(thm)],[])).
% 27.54/18.06 tff(7737,plain,
% 27.54/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB52, 0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 0))),
% 27.54/18.06 inference(modus_ponens,[status(thm)],[7736, 7735])).
% 27.54/18.06 tff(7738,plain,
% 27.54/18.06 (v90(constB52, 0) | v100(constB53) | (~v90(constB53, 0))),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7737, 212, 7654])).
% 27.54/18.06 tff(7739,plain,
% 27.54/18.06 (v90(constB52, 0) | (~v90(constB53, 0))),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7738, 7666])).
% 27.54/18.06 tff(7740,plain,
% 27.54/18.06 (~v90(constB53, 0)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7739, 7731])).
% 27.54/18.06 tff(7741,plain,
% 27.54/18.06 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB53, 0) | (~v90(constB53, 1)) | v90(constB53, 2) | v121(constB53))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB53, 0) | (~v90(constB53, 1)) | v90(constB53, 2) | v121(constB53))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7742,plain,
% 27.54/18.06 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB53, 0) | (~v90(constB53, 1)) | v90(constB53, 2) | v121(constB53))),
% 27.54/18.06 inference(quant_inst,[status(thm)],[])).
% 27.54/18.06 tff(7743,plain,
% 27.54/18.06 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB53, 0) | (~v90(constB53, 1)) | v90(constB53, 2) | v121(constB53)),
% 27.54/18.06 inference(modus_ponens,[status(thm)],[7742, 7741])).
% 27.54/18.06 tff(7744,plain,
% 27.54/18.06 (v121(constB53)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7743, 993, 7740, 7706, 7675])).
% 27.54/18.06 tff(7745,plain,
% 27.54/18.06 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB53)) | v117(constB53))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB53)) | v117(constB53))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7746,plain,
% 27.54/18.06 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB53)) | v117(constB53))),
% 27.54/18.06 inference(quant_inst,[status(thm)],[])).
% 27.54/18.06 tff(7747,plain,
% 27.54/18.06 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB53)) | v117(constB53)),
% 27.54/18.06 inference(modus_ponens,[status(thm)],[7746, 7745])).
% 27.54/18.06 tff(7748,plain,
% 27.54/18.06 (v117(constB53)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7747, 1004, 7744])).
% 27.54/18.06 tff(7749,plain,
% 27.54/18.06 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB53) | (~v117(constB53)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB53) | (~v117(constB53)))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7750,plain,
% 27.54/18.06 (((~v117(constB53)) | v116(constB53)) <=> (v116(constB53) | (~v117(constB53)))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7751,plain,
% 27.54/18.06 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB53)) | v116(constB53))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB53) | (~v117(constB53))))),
% 27.54/18.06 inference(monotonicity,[status(thm)],[7750])).
% 27.54/18.06 tff(7752,plain,
% 27.54/18.06 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB53)) | v116(constB53))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB53) | (~v117(constB53)))),
% 27.54/18.06 inference(transitivity,[status(thm)],[7751, 7749])).
% 27.54/18.06 tff(7753,plain,
% 27.54/18.06 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB53)) | v116(constB53))),
% 27.54/18.06 inference(quant_inst,[status(thm)],[])).
% 27.54/18.06 tff(7754,plain,
% 27.54/18.06 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB53) | (~v117(constB53))),
% 27.54/18.06 inference(modus_ponens,[status(thm)],[7753, 7752])).
% 27.54/18.06 tff(7755,plain,
% 27.54/18.06 (v116(constB53)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7754, 272, 7748])).
% 27.54/18.06 tff(7756,plain,
% 27.54/18.06 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB53)) | v115(constB53))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB53)) | v115(constB53))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7757,plain,
% 27.54/18.06 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB53)) | v115(constB53))),
% 27.54/18.06 inference(quant_inst,[status(thm)],[])).
% 27.54/18.06 tff(7758,plain,
% 27.54/18.06 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB53)) | v115(constB53)),
% 27.54/18.06 inference(modus_ponens,[status(thm)],[7757, 7756])).
% 27.54/18.06 tff(7759,plain,
% 27.54/18.06 (v115(constB53)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7758, 286, 7755])).
% 27.54/18.06 tff(7760,plain,
% 27.54/18.06 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB53) | (~v115(constB53)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB53) | (~v115(constB53)))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7761,plain,
% 27.54/18.06 (((~v115(constB53)) | v114(constB53)) <=> (v114(constB53) | (~v115(constB53)))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7762,plain,
% 27.54/18.06 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB53)) | v114(constB53))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB53) | (~v115(constB53))))),
% 27.54/18.06 inference(monotonicity,[status(thm)],[7761])).
% 27.54/18.06 tff(7763,plain,
% 27.54/18.06 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB53)) | v114(constB53))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB53) | (~v115(constB53)))),
% 27.54/18.06 inference(transitivity,[status(thm)],[7762, 7760])).
% 27.54/18.06 tff(7764,plain,
% 27.54/18.06 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB53)) | v114(constB53))),
% 27.54/18.06 inference(quant_inst,[status(thm)],[])).
% 27.54/18.06 tff(7765,plain,
% 27.54/18.06 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB53) | (~v115(constB53))),
% 27.54/18.06 inference(modus_ponens,[status(thm)],[7764, 7763])).
% 27.54/18.06 tff(7766,plain,
% 27.54/18.06 (v114(constB53)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7765, 300, 7759])).
% 27.54/18.06 tff(7767,plain,
% 27.54/18.06 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB53) | (~v114(constB53)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB53) | (~v114(constB53)))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7768,plain,
% 27.54/18.06 (((~v114(constB53)) | v113(constB53)) <=> (v113(constB53) | (~v114(constB53)))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7769,plain,
% 27.54/18.06 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB53)) | v113(constB53))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB53) | (~v114(constB53))))),
% 27.54/18.06 inference(monotonicity,[status(thm)],[7768])).
% 27.54/18.06 tff(7770,plain,
% 27.54/18.06 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB53)) | v113(constB53))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB53) | (~v114(constB53)))),
% 27.54/18.06 inference(transitivity,[status(thm)],[7769, 7767])).
% 27.54/18.06 tff(7771,plain,
% 27.54/18.06 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB53)) | v113(constB53))),
% 27.54/18.06 inference(quant_inst,[status(thm)],[])).
% 27.54/18.06 tff(7772,plain,
% 27.54/18.06 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB53) | (~v114(constB53))),
% 27.54/18.06 inference(modus_ponens,[status(thm)],[7771, 7770])).
% 27.54/18.06 tff(7773,plain,
% 27.54/18.06 (v113(constB53)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7772, 314, 7766])).
% 27.54/18.06 tff(7774,assumption,(v26(constB53)), introduced(assumption)).
% 27.54/18.06 tff(7775,plain,
% 27.54/18.06 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB53))),
% 27.54/18.06 inference(quant_inst,[status(thm)],[])).
% 27.54/18.06 tff(7776,plain,
% 27.54/18.06 ($false),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7775, 95, 7774])).
% 27.54/18.06 tff(7777,plain,(~v26(constB53)), inference(lemma,lemma(discharge,[]))).
% 27.54/18.06 tff(7778,plain,
% 27.54/18.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | (~v113(constB53)) | v112(constB53))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7779,plain,
% 27.54/18.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))),
% 27.54/18.06 inference(quant_inst,[status(thm)],[])).
% 27.54/18.06 tff(7780,plain,
% 27.54/18.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | (~v113(constB53)) | v112(constB53)),
% 27.54/18.06 inference(modus_ponens,[status(thm)],[7779, 7778])).
% 27.54/18.06 tff(7781,plain,
% 27.54/18.06 ((~v113(constB53)) | v112(constB53)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7780, 328, 7777])).
% 27.54/18.06 tff(7782,plain,
% 27.54/18.06 (v112(constB53)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7781, 7773])).
% 27.54/18.06 tff(7783,plain,
% 27.54/18.06 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB53) | (~v112(constB53)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB53) | (~v112(constB53)))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7784,plain,
% 27.54/18.06 (((~v112(constB53)) | v108(constB53)) <=> (v108(constB53) | (~v112(constB53)))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7785,plain,
% 27.54/18.06 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB53)) | v108(constB53))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB53) | (~v112(constB53))))),
% 27.54/18.06 inference(monotonicity,[status(thm)],[7784])).
% 27.54/18.06 tff(7786,plain,
% 27.54/18.06 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB53)) | v108(constB53))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB53) | (~v112(constB53)))),
% 27.54/18.06 inference(transitivity,[status(thm)],[7785, 7783])).
% 27.54/18.06 tff(7787,plain,
% 27.54/18.06 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB53)) | v108(constB53))),
% 27.54/18.06 inference(quant_inst,[status(thm)],[])).
% 27.54/18.06 tff(7788,plain,
% 27.54/18.06 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB53) | (~v112(constB53))),
% 27.54/18.06 inference(modus_ponens,[status(thm)],[7787, 7786])).
% 27.54/18.06 tff(7789,plain,
% 27.54/18.06 (v108(constB53)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7788, 340, 7782])).
% 27.54/18.06 tff(7790,plain,
% 27.54/18.06 (nextState(constB53, constB54) <=> nextState(constB53, constB54)),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7791,axiom,(nextState(constB53, constB54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_53_1')).
% 27.54/18.06 tff(7792,plain,
% 27.54/18.06 (nextState(constB53, constB54)),
% 27.54/18.06 inference(modus_ponens,[status(thm)],[7791, 7790])).
% 27.54/18.06 tff(7793,plain,
% 27.54/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7794,plain,
% 27.54/18.06 (((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54)) <=> ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7795,plain,
% 27.54/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53))))),
% 27.54/18.06 inference(monotonicity,[status(thm)],[7794])).
% 27.54/18.06 tff(7796,plain,
% 27.54/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 27.54/18.06 inference(transitivity,[status(thm)],[7795, 7793])).
% 27.54/18.06 tff(7797,plain,
% 27.54/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))),
% 27.54/18.06 inference(quant_inst,[status(thm)],[])).
% 27.54/18.06 tff(7798,plain,
% 27.54/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53))),
% 27.54/18.06 inference(modus_ponens,[status(thm)],[7797, 7796])).
% 27.54/18.06 tff(7799,plain,
% 27.54/18.06 (v110(constB54) | (~v108(constB53))),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7798, 360, 7792])).
% 27.54/18.06 tff(7800,plain,
% 27.54/18.06 (v110(constB54)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7799, 7789])).
% 27.54/18.06 tff(7801,plain,
% 27.54/18.06 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7802,plain,
% 27.54/18.06 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))),
% 27.54/18.06 inference(quant_inst,[status(thm)],[])).
% 27.54/18.06 tff(7803,plain,
% 27.54/18.06 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54))),
% 27.54/18.06 inference(modus_ponens,[status(thm)],[7802, 7801])).
% 27.54/18.06 tff(7804,plain,
% 27.54/18.06 (~v104(constB54)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7803, 378, 7792, 7651])).
% 27.54/18.06 tff(7805,plain,
% 27.54/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7806,plain,
% 27.54/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))),
% 27.54/18.06 inference(quant_inst,[status(thm)],[])).
% 27.54/18.06 tff(7807,plain,
% 27.54/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB53, constB54)) | v102(constB54) | v104(constB54)),
% 27.54/18.06 inference(modus_ponens,[status(thm)],[7806, 7805])).
% 27.54/18.06 tff(7808,plain,
% 27.54/18.06 (v102(constB54) | v104(constB54)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7807, 392, 7792])).
% 27.54/18.06 tff(7809,plain,
% 27.54/18.06 (v102(constB54)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7808, 7804])).
% 27.54/18.06 tff(7810,plain,
% 27.54/18.06 (v1(constB54) <=> v1(constB54)),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7811,axiom,(v1(constB54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_54_1')).
% 27.54/18.06 tff(7812,plain,
% 27.54/18.06 (v1(constB54)),
% 27.54/18.06 inference(modus_ponens,[status(thm)],[7811, 7810])).
% 27.54/18.06 tff(7813,plain,
% 27.54/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7814,plain,
% 27.54/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))),
% 27.54/18.06 inference(quant_inst,[status(thm)],[])).
% 27.54/18.06 tff(7815,plain,
% 27.54/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54))),
% 27.54/18.06 inference(modus_ponens,[status(thm)],[7814, 7813])).
% 27.54/18.06 tff(7816,plain,
% 27.54/18.06 (v101(constB54) | (~v102(constB54))),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7815, 410, 7792, 7812])).
% 27.54/18.06 tff(7817,plain,
% 27.54/18.06 (v101(constB54)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7816, 7809])).
% 27.54/18.06 tff(7818,plain,
% 27.54/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7819,plain,
% 27.54/18.06 (((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54)) <=> ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7820,plain,
% 27.54/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54))))),
% 27.54/18.06 inference(monotonicity,[status(thm)],[7819])).
% 27.54/18.06 tff(7821,plain,
% 27.54/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 27.54/18.06 inference(transitivity,[status(thm)],[7820, 7818])).
% 27.54/18.06 tff(7822,plain,
% 27.54/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))),
% 27.54/18.06 inference(quant_inst,[status(thm)],[])).
% 27.54/18.06 tff(7823,plain,
% 27.54/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54))),
% 27.54/18.06 inference(modus_ponens,[status(thm)],[7822, 7821])).
% 27.54/18.06 tff(7824,plain,
% 27.54/18.06 (v100(constB54) | (~v101(constB54)) | (~v110(constB54))),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7823, 425, 7792])).
% 27.54/18.06 tff(7825,plain,
% 27.54/18.06 (v100(constB54) | (~v110(constB54))),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7824, 7817])).
% 27.54/18.06 tff(7826,plain,
% 27.54/18.06 (v100(constB54)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7825, 7800])).
% 27.54/18.06 tff(7827,plain,
% 27.54/18.06 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB53)) | (~v130(constB53, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB53)) | (~v130(constB53, 2)))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7828,plain,
% 27.54/18.06 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB53)) | (~v130(constB53, 2)))),
% 27.54/18.06 inference(quant_inst,[status(thm)],[])).
% 27.54/18.06 tff(7829,plain,
% 27.54/18.06 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB53)) | (~v130(constB53, 2))),
% 27.54/18.06 inference(modus_ponens,[status(thm)],[7828, 7827])).
% 27.54/18.06 tff(7830,plain,
% 27.54/18.06 (~v130(constB53, 2)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7829, 1155, 7744])).
% 27.54/18.06 tff(7831,plain,
% 27.54/18.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB53, 2)) | v26(constB53) | v130(constB53, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB53, 2)) | v26(constB53) | v130(constB53, 2))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7832,plain,
% 27.54/18.06 ((v26(constB53) | v130(constB53, 2) | (~v127(constB53, 2))) <=> ((~v127(constB53, 2)) | v26(constB53) | v130(constB53, 2))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7833,plain,
% 27.54/18.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB53) | v130(constB53, 2) | (~v127(constB53, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB53, 2)) | v26(constB53) | v130(constB53, 2)))),
% 27.54/18.06 inference(monotonicity,[status(thm)],[7832])).
% 27.54/18.06 tff(7834,plain,
% 27.54/18.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB53) | v130(constB53, 2) | (~v127(constB53, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB53, 2)) | v26(constB53) | v130(constB53, 2))),
% 27.54/18.06 inference(transitivity,[status(thm)],[7833, 7831])).
% 27.54/18.06 tff(7835,plain,
% 27.54/18.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB53) | v130(constB53, 2) | (~v127(constB53, 2)))),
% 27.54/18.06 inference(quant_inst,[status(thm)],[])).
% 27.54/18.06 tff(7836,plain,
% 27.54/18.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB53, 2)) | v26(constB53) | v130(constB53, 2)),
% 27.54/18.06 inference(modus_ponens,[status(thm)],[7835, 7834])).
% 27.54/18.06 tff(7837,plain,
% 27.54/18.06 ((~v127(constB53, 2)) | v130(constB53, 2)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7836, 455, 7777])).
% 27.54/18.06 tff(7838,plain,
% 27.54/18.06 (~v127(constB53, 2)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7837, 7830])).
% 27.54/18.06 tff(7839,plain,
% 27.54/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB53, constB54)) | v127(constB53, 2) | (~v129(constB54, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB53, constB54)) | v127(constB53, 2) | (~v129(constB54, 2)))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7840,plain,
% 27.54/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB53, constB54)) | v127(constB53, 2) | (~v129(constB54, 2)))),
% 27.54/18.06 inference(quant_inst,[status(thm)],[])).
% 27.54/18.06 tff(7841,plain,
% 27.54/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB53, constB54)) | v127(constB53, 2) | (~v129(constB54, 2))),
% 27.54/18.06 inference(modus_ponens,[status(thm)],[7840, 7839])).
% 27.54/18.06 tff(7842,plain,
% 27.54/18.06 (v127(constB53, 2) | (~v129(constB54, 2))),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7841, 473, 7792])).
% 27.54/18.06 tff(7843,plain,
% 27.54/18.06 (~v129(constB54, 2)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7842, 7838])).
% 27.54/18.06 tff(7844,plain,
% 27.54/18.06 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB54, 2)) | v129(constB54, 2) | (~v100(constB54)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB54, 2)) | v129(constB54, 2) | (~v100(constB54)))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7845,plain,
% 27.54/18.06 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB54, 2)) | v129(constB54, 2) | (~v100(constB54)))),
% 27.54/18.06 inference(quant_inst,[status(thm)],[])).
% 27.54/18.06 tff(7846,plain,
% 27.54/18.06 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB54, 2)) | v129(constB54, 2) | (~v100(constB54))),
% 27.54/18.06 inference(modus_ponens,[status(thm)],[7845, 7844])).
% 27.54/18.06 tff(7847,plain,
% 27.54/18.06 ((~v90(constB54, 2)) | (~v100(constB54))),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7846, 488, 7843])).
% 27.54/18.06 tff(7848,plain,
% 27.54/18.06 (~v90(constB54, 2)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7847, 7826])).
% 27.54/18.06 tff(7849,plain,
% 27.54/18.06 ((~v1(constB55)) <=> (~v1(constB55))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7850,axiom,(~v1(constB55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_55_1_1')).
% 27.54/18.06 tff(7851,plain,
% 27.54/18.06 (~v1(constB55)),
% 27.54/18.06 inference(modus_ponens,[status(thm)],[7850, 7849])).
% 27.54/18.06 tff(7852,plain,
% 27.54/18.06 (nextState(constB54, constB55) <=> nextState(constB54, constB55)),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7853,axiom,(nextState(constB54, constB55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_54_1')).
% 27.54/18.06 tff(7854,plain,
% 27.54/18.06 (nextState(constB54, constB55)),
% 27.54/18.06 inference(modus_ponens,[status(thm)],[7853, 7852])).
% 27.54/18.06 tff(7855,plain,
% 27.54/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7856,plain,
% 27.54/18.06 (((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55)) <=> (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7857,plain,
% 27.54/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55))))),
% 27.54/18.06 inference(monotonicity,[status(thm)],[7856])).
% 27.54/18.06 tff(7858,plain,
% 27.54/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 27.54/18.06 inference(transitivity,[status(thm)],[7857, 7855])).
% 27.54/18.06 tff(7859,plain,
% 27.54/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))),
% 27.54/18.06 inference(quant_inst,[status(thm)],[])).
% 27.54/18.06 tff(7860,plain,
% 27.54/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55))),
% 27.54/18.06 inference(modus_ponens,[status(thm)],[7859, 7858])).
% 27.54/18.06 tff(7861,plain,
% 27.54/18.06 (~v101(constB55)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7860, 138, 7854, 7851])).
% 27.54/18.06 tff(7862,plain,
% 27.54/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))),
% 27.54/18.06 inference(rewrite,[status(thm)],[])).
% 27.54/18.06 tff(7863,plain,
% 27.54/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))),
% 27.54/18.06 inference(quant_inst,[status(thm)],[])).
% 27.54/18.06 tff(7864,plain,
% 27.54/18.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55))),
% 27.54/18.06 inference(modus_ponens,[status(thm)],[7863, 7862])).
% 27.54/18.06 tff(7865,plain,
% 27.54/18.06 (v101(constB55) | (~v100(constB55))),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7864, 155, 7854])).
% 27.54/18.06 tff(7866,plain,
% 27.54/18.06 (~v100(constB55)),
% 27.54/18.06 inference(unit_resolution,[status(thm)],[7865, 7861])).
% 27.54/18.06 tff(7867,plain,
% 27.54/18.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB54, 2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB54, 2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, 2)))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7868,plain,
% 27.54/18.07 (((~nextState(constB54, constB55)) | v90(constB54, 2) | v100(constB55) | (~v90(constB55, 2))) <=> (v90(constB54, 2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, 2)))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7869,plain,
% 27.54/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB54, constB55)) | v90(constB54, 2) | v100(constB55) | (~v90(constB55, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB54, 2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, 2))))),
% 27.54/18.07 inference(monotonicity,[status(thm)],[7868])).
% 27.54/18.07 tff(7870,plain,
% 27.54/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB54, constB55)) | v90(constB54, 2) | v100(constB55) | (~v90(constB55, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB54, 2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, 2)))),
% 27.54/18.07 inference(transitivity,[status(thm)],[7869, 7867])).
% 27.54/18.07 tff(7871,plain,
% 27.54/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB54, constB55)) | v90(constB54, 2) | v100(constB55) | (~v90(constB55, 2)))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(7872,plain,
% 27.54/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB54, 2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, 2))),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[7871, 7870])).
% 27.54/18.07 tff(7873,plain,
% 27.54/18.07 (v90(constB54, 2) | v100(constB55) | (~v90(constB55, 2))),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7872, 170, 7854])).
% 27.54/18.07 tff(7874,plain,
% 27.54/18.07 (v90(constB54, 2) | (~v90(constB55, 2))),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7873, 7866])).
% 27.54/18.07 tff(7875,plain,
% 27.54/18.07 (~v90(constB55, 2)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7874, 7848])).
% 27.54/18.07 tff(7876,plain,
% 27.54/18.07 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB53)) | v130(constB53, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB53)) | v130(constB53, 1))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7877,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB53)) | v130(constB53, 1))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(7878,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB53)) | v130(constB53, 1)),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[7877, 7876])).
% 27.54/18.07 tff(7879,plain,
% 27.54/18.07 (v130(constB53, 1)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7878, 1235, 7744])).
% 27.54/18.07 tff(7880,plain,
% 27.54/18.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB53) | (~v130(constB53, 1)) | v127(constB53, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB53) | (~v130(constB53, 1)) | v127(constB53, 1))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7881,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB53) | (~v130(constB53, 1)) | v127(constB53, 1))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(7882,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB53) | (~v130(constB53, 1)) | v127(constB53, 1)),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[7881, 7880])).
% 27.54/18.07 tff(7883,plain,
% 27.54/18.07 ((~v130(constB53, 1)) | v127(constB53, 1)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7882, 855, 7777])).
% 27.54/18.07 tff(7884,plain,
% 27.54/18.07 (v127(constB53, 1)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7883, 7879])).
% 27.54/18.07 tff(7885,plain,
% 27.54/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB53, constB54)) | (~v127(constB53, 1)) | v129(constB54, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB53, constB54)) | (~v127(constB53, 1)) | v129(constB54, 1))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7886,plain,
% 27.54/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB53, constB54)) | (~v127(constB53, 1)) | v129(constB54, 1))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(7887,plain,
% 27.54/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB53, constB54)) | (~v127(constB53, 1)) | v129(constB54, 1)),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[7886, 7885])).
% 27.54/18.07 tff(7888,plain,
% 27.54/18.07 ((~v127(constB53, 1)) | v129(constB54, 1)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7887, 870, 7792])).
% 27.54/18.07 tff(7889,plain,
% 27.54/18.07 (v129(constB54, 1)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7888, 7884])).
% 27.54/18.07 tff(7890,plain,
% 27.54/18.07 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB54, 1) | (~v129(constB54, 1)) | (~v100(constB54)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB54, 1) | (~v129(constB54, 1)) | (~v100(constB54)))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7891,plain,
% 27.54/18.07 ((v90(constB54, 1) | (~v100(constB54)) | (~v129(constB54, 1))) <=> (v90(constB54, 1) | (~v129(constB54, 1)) | (~v100(constB54)))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7892,plain,
% 27.54/18.07 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB54, 1) | (~v100(constB54)) | (~v129(constB54, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB54, 1) | (~v129(constB54, 1)) | (~v100(constB54))))),
% 27.54/18.07 inference(monotonicity,[status(thm)],[7891])).
% 27.54/18.07 tff(7893,plain,
% 27.54/18.07 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB54, 1) | (~v100(constB54)) | (~v129(constB54, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB54, 1) | (~v129(constB54, 1)) | (~v100(constB54)))),
% 27.54/18.07 inference(transitivity,[status(thm)],[7892, 7890])).
% 27.54/18.07 tff(7894,plain,
% 27.54/18.07 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB54, 1) | (~v100(constB54)) | (~v129(constB54, 1)))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(7895,plain,
% 27.54/18.07 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB54, 1) | (~v129(constB54, 1)) | (~v100(constB54))),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[7894, 7893])).
% 27.54/18.07 tff(7896,plain,
% 27.54/18.07 (v90(constB54, 1) | (~v100(constB54))),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7895, 885, 7889])).
% 27.54/18.07 tff(7897,plain,
% 27.54/18.07 (v90(constB54, 1)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7896, 7826])).
% 27.54/18.07 tff(7898,plain,
% 27.54/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB54, 1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB54, 1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 1))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7899,plain,
% 27.54/18.07 (((~nextState(constB54, constB55)) | (~v90(constB54, 1)) | v100(constB55) | v90(constB55, 1)) <=> ((~v90(constB54, 1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 1))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7900,plain,
% 27.54/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, 1)) | v100(constB55) | v90(constB55, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB54, 1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 1)))),
% 27.54/18.07 inference(monotonicity,[status(thm)],[7899])).
% 27.54/18.07 tff(7901,plain,
% 27.54/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, 1)) | v100(constB55) | v90(constB55, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB54, 1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 1))),
% 27.54/18.07 inference(transitivity,[status(thm)],[7900, 7898])).
% 27.54/18.07 tff(7902,plain,
% 27.54/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, 1)) | v100(constB55) | v90(constB55, 1))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(7903,plain,
% 27.54/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB54, 1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 1)),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[7902, 7901])).
% 27.54/18.07 tff(7904,plain,
% 27.54/18.07 ((~v90(constB54, 1)) | v100(constB55) | v90(constB55, 1)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7903, 903, 7854])).
% 27.54/18.07 tff(7905,plain,
% 27.54/18.07 ((~v90(constB54, 1)) | v90(constB55, 1)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7904, 7866])).
% 27.54/18.07 tff(7906,plain,
% 27.54/18.07 (v90(constB55, 1)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7905, 7897])).
% 27.54/18.07 tff(7907,plain,
% 27.54/18.07 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB53)) | v130(constB53, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB53)) | v130(constB53, 0))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7908,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB53)) | v130(constB53, 0))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(7909,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB53)) | v130(constB53, 0)),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[7908, 7907])).
% 27.54/18.07 tff(7910,plain,
% 27.54/18.07 (v130(constB53, 0)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7909, 1099, 7744])).
% 27.54/18.07 tff(7911,plain,
% 27.54/18.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB53) | (~v130(constB53, 0)) | v127(constB53, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB53) | (~v130(constB53, 0)) | v127(constB53, 0))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7912,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB53) | (~v130(constB53, 0)) | v127(constB53, 0))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(7913,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB53) | (~v130(constB53, 0)) | v127(constB53, 0)),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[7912, 7911])).
% 27.54/18.07 tff(7914,plain,
% 27.54/18.07 ((~v130(constB53, 0)) | v127(constB53, 0)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7913, 612, 7777])).
% 27.54/18.07 tff(7915,plain,
% 27.54/18.07 (v127(constB53, 0)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7914, 7910])).
% 27.54/18.07 tff(7916,plain,
% 27.54/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB53, constB54)) | (~v127(constB53, 0)) | v129(constB54, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB53, constB54)) | (~v127(constB53, 0)) | v129(constB54, 0))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7917,plain,
% 27.54/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB53, constB54)) | (~v127(constB53, 0)) | v129(constB54, 0))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(7918,plain,
% 27.54/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB53, constB54)) | (~v127(constB53, 0)) | v129(constB54, 0)),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[7917, 7916])).
% 27.54/18.07 tff(7919,plain,
% 27.54/18.07 ((~v127(constB53, 0)) | v129(constB54, 0)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7918, 627, 7792])).
% 27.54/18.07 tff(7920,plain,
% 27.54/18.07 (v129(constB54, 0)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7919, 7915])).
% 27.54/18.07 tff(7921,plain,
% 27.54/18.07 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB54, 0) | (~v129(constB54, 0)) | (~v100(constB54)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB54, 0) | (~v129(constB54, 0)) | (~v100(constB54)))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7922,plain,
% 27.54/18.07 ((v90(constB54, 0) | (~v100(constB54)) | (~v129(constB54, 0))) <=> (v90(constB54, 0) | (~v129(constB54, 0)) | (~v100(constB54)))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7923,plain,
% 27.54/18.07 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB54, 0) | (~v100(constB54)) | (~v129(constB54, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB54, 0) | (~v129(constB54, 0)) | (~v100(constB54))))),
% 27.54/18.07 inference(monotonicity,[status(thm)],[7922])).
% 27.54/18.07 tff(7924,plain,
% 27.54/18.07 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB54, 0) | (~v100(constB54)) | (~v129(constB54, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB54, 0) | (~v129(constB54, 0)) | (~v100(constB54)))),
% 27.54/18.07 inference(transitivity,[status(thm)],[7923, 7921])).
% 27.54/18.07 tff(7925,plain,
% 27.54/18.07 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB54, 0) | (~v100(constB54)) | (~v129(constB54, 0)))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(7926,plain,
% 27.54/18.07 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB54, 0) | (~v129(constB54, 0)) | (~v100(constB54))),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[7925, 7924])).
% 27.54/18.07 tff(7927,plain,
% 27.54/18.07 (v90(constB54, 0) | (~v100(constB54))),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7926, 642, 7920])).
% 27.54/18.07 tff(7928,plain,
% 27.54/18.07 (v90(constB54, 0)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7927, 7826])).
% 27.54/18.07 tff(7929,plain,
% 27.54/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB54, 0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB54, 0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 0))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7930,plain,
% 27.54/18.07 (((~nextState(constB54, constB55)) | (~v90(constB54, 0)) | v100(constB55) | v90(constB55, 0)) <=> ((~v90(constB54, 0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 0))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7931,plain,
% 27.54/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB54, constB55)) | (~v90(constB54, 0)) | v100(constB55) | v90(constB55, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB54, 0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 0)))),
% 27.54/18.07 inference(monotonicity,[status(thm)],[7930])).
% 27.54/18.07 tff(7932,plain,
% 27.54/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB54, constB55)) | (~v90(constB54, 0)) | v100(constB55) | v90(constB55, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB54, 0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 0))),
% 27.54/18.07 inference(transitivity,[status(thm)],[7931, 7929])).
% 27.54/18.07 tff(7933,plain,
% 27.54/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB54, constB55)) | (~v90(constB54, 0)) | v100(constB55) | v90(constB55, 0))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(7934,plain,
% 27.54/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB54, 0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 0)),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[7933, 7932])).
% 27.54/18.07 tff(7935,plain,
% 27.54/18.07 ((~v90(constB54, 0)) | v100(constB55) | v90(constB55, 0)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7934, 660, 7854])).
% 27.54/18.07 tff(7936,plain,
% 27.54/18.07 ((~v90(constB54, 0)) | v90(constB55, 0)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7935, 7866])).
% 27.54/18.07 tff(7937,plain,
% 27.54/18.07 (v90(constB55, 0)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7936, 7928])).
% 27.54/18.07 tff(7938,plain,
% 27.54/18.07 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB55, 0)) | (~v90(constB55, 1)) | v90(constB55, 2) | v122(constB55))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB55, 0)) | (~v90(constB55, 1)) | v90(constB55, 2) | v122(constB55))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7939,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB55, 0)) | (~v90(constB55, 1)) | v90(constB55, 2) | v122(constB55))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(7940,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB55, 0)) | (~v90(constB55, 1)) | v90(constB55, 2) | v122(constB55)),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[7939, 7938])).
% 27.54/18.07 tff(7941,plain,
% 27.54/18.07 (v122(constB55)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7940, 1260, 7937, 7906, 7875])).
% 27.54/18.07 tff(7942,plain,
% 27.54/18.07 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB55)) | v116(constB55))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB55)) | v116(constB55))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7943,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB55)) | v116(constB55))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(7944,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB55)) | v116(constB55)),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[7943, 7942])).
% 27.54/18.07 tff(7945,plain,
% 27.54/18.07 (v116(constB55)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7944, 1272, 7941])).
% 27.54/18.07 tff(7946,plain,
% 27.54/18.07 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB55) | (~v116(constB55)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB55) | (~v116(constB55)))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7947,plain,
% 27.54/18.07 (((~v116(constB55)) | v115(constB55)) <=> (v115(constB55) | (~v116(constB55)))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7948,plain,
% 27.54/18.07 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB55)) | v115(constB55))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB55) | (~v116(constB55))))),
% 27.54/18.07 inference(monotonicity,[status(thm)],[7947])).
% 27.54/18.07 tff(7949,plain,
% 27.54/18.07 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB55)) | v115(constB55))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB55) | (~v116(constB55)))),
% 27.54/18.07 inference(transitivity,[status(thm)],[7948, 7946])).
% 27.54/18.07 tff(7950,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB55)) | v115(constB55))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(7951,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB55) | (~v116(constB55))),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[7950, 7949])).
% 27.54/18.07 tff(7952,plain,
% 27.54/18.07 (v115(constB55)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7951, 286, 7945])).
% 27.54/18.07 tff(7953,plain,
% 27.54/18.07 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB55) | (~v115(constB55)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB55) | (~v115(constB55)))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7954,plain,
% 27.54/18.07 (((~v115(constB55)) | v114(constB55)) <=> (v114(constB55) | (~v115(constB55)))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7955,plain,
% 27.54/18.07 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB55)) | v114(constB55))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB55) | (~v115(constB55))))),
% 27.54/18.07 inference(monotonicity,[status(thm)],[7954])).
% 27.54/18.07 tff(7956,plain,
% 27.54/18.07 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB55)) | v114(constB55))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB55) | (~v115(constB55)))),
% 27.54/18.07 inference(transitivity,[status(thm)],[7955, 7953])).
% 27.54/18.07 tff(7957,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB55)) | v114(constB55))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(7958,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB55) | (~v115(constB55))),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[7957, 7956])).
% 27.54/18.07 tff(7959,plain,
% 27.54/18.07 (v114(constB55)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7958, 300, 7952])).
% 27.54/18.07 tff(7960,plain,
% 27.54/18.07 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB55)) | v113(constB55))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB55)) | v113(constB55))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7961,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB55)) | v113(constB55))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(7962,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB55)) | v113(constB55)),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[7961, 7960])).
% 27.54/18.07 tff(7963,plain,
% 27.54/18.07 (v113(constB55)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7962, 314, 7959])).
% 27.54/18.07 tff(7964,assumption,(~v108(constB55)), introduced(assumption)).
% 27.54/18.07 tff(7965,plain,
% 27.54/18.07 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB55) | (~v112(constB55)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB55) | (~v112(constB55)))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7966,plain,
% 27.54/18.07 (((~v112(constB55)) | v108(constB55)) <=> (v108(constB55) | (~v112(constB55)))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7967,plain,
% 27.54/18.07 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB55)) | v108(constB55))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB55) | (~v112(constB55))))),
% 27.54/18.07 inference(monotonicity,[status(thm)],[7966])).
% 27.54/18.07 tff(7968,plain,
% 27.54/18.07 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB55)) | v108(constB55))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB55) | (~v112(constB55)))),
% 27.54/18.07 inference(transitivity,[status(thm)],[7967, 7965])).
% 27.54/18.07 tff(7969,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB55)) | v108(constB55))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(7970,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB55) | (~v112(constB55))),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[7969, 7968])).
% 27.54/18.07 tff(7971,plain,
% 27.54/18.07 (~v112(constB55)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7970, 340, 7964])).
% 27.54/18.07 tff(7972,plain,
% 27.54/18.07 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB55) | (~v26(constB55)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB55) | (~v26(constB55)))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7973,plain,
% 27.54/18.07 (((~v26(constB55)) | v108(constB55)) <=> (v108(constB55) | (~v26(constB55)))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7974,plain,
% 27.54/18.07 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB55)) | v108(constB55))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB55) | (~v26(constB55))))),
% 27.54/18.07 inference(monotonicity,[status(thm)],[7973])).
% 27.54/18.07 tff(7975,plain,
% 27.54/18.07 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB55)) | v108(constB55))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB55) | (~v26(constB55)))),
% 27.54/18.07 inference(transitivity,[status(thm)],[7974, 7972])).
% 27.54/18.07 tff(7976,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB55)) | v108(constB55))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(7977,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB55) | (~v26(constB55))),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[7976, 7975])).
% 27.54/18.07 tff(7978,plain,
% 27.54/18.07 (~v26(constB55)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7977, 6750, 7964])).
% 27.54/18.07 tff(7979,assumption,(v113(constB55)), introduced(assumption)).
% 27.54/18.07 tff(7980,plain,
% 27.54/18.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | v112(constB55) | (~v113(constB55)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | v112(constB55) | (~v113(constB55)))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7981,plain,
% 27.54/18.07 ((v26(constB55) | (~v113(constB55)) | v112(constB55)) <=> (v26(constB55) | v112(constB55) | (~v113(constB55)))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7982,plain,
% 27.54/18.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | v112(constB55) | (~v113(constB55))))),
% 27.54/18.07 inference(monotonicity,[status(thm)],[7981])).
% 27.54/18.07 tff(7983,plain,
% 27.54/18.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | v112(constB55) | (~v113(constB55)))),
% 27.54/18.07 inference(transitivity,[status(thm)],[7982, 7980])).
% 27.54/18.07 tff(7984,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(7985,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | v112(constB55) | (~v113(constB55))),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[7984, 7983])).
% 27.54/18.07 tff(7986,plain,
% 27.54/18.07 (v26(constB55) | v112(constB55)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7985, 328, 7979])).
% 27.54/18.07 tff(7987,plain,
% 27.54/18.07 ($false),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7986, 7978, 7971])).
% 27.54/18.07 tff(7988,plain,(v108(constB55) | (~v113(constB55))), inference(lemma,lemma(discharge,[]))).
% 27.54/18.07 tff(7989,plain,
% 27.54/18.07 (v108(constB55)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7988, 7963])).
% 27.54/18.07 tff(7990,plain,
% 27.54/18.07 (nextState(constB55, constB56) <=> nextState(constB55, constB56)),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7991,axiom,(nextState(constB55, constB56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_55_1')).
% 27.54/18.07 tff(7992,plain,
% 27.54/18.07 (nextState(constB55, constB56)),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[7991, 7990])).
% 27.54/18.07 tff(7993,plain,
% 27.54/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7994,plain,
% 27.54/18.07 (((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56)) <=> ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(7995,plain,
% 27.54/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55))))),
% 27.54/18.07 inference(monotonicity,[status(thm)],[7994])).
% 27.54/18.07 tff(7996,plain,
% 27.54/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 27.54/18.07 inference(transitivity,[status(thm)],[7995, 7993])).
% 27.54/18.07 tff(7997,plain,
% 27.54/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(7998,plain,
% 27.54/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55))),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[7997, 7996])).
% 27.54/18.07 tff(7999,plain,
% 27.54/18.07 (v110(constB56) | (~v108(constB55))),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7998, 360, 7992])).
% 27.54/18.07 tff(8000,plain,
% 27.54/18.07 (v110(constB56)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[7999, 7989])).
% 27.54/18.07 tff(8001,plain,
% 27.54/18.07 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(8002,plain,
% 27.54/18.07 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(8003,plain,
% 27.54/18.07 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56))),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[8002, 8001])).
% 27.54/18.07 tff(8004,plain,
% 27.54/18.07 (~v104(constB56)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[8003, 378, 7992, 7851])).
% 27.54/18.07 tff(8005,plain,
% 27.54/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(8006,plain,
% 27.54/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(8007,plain,
% 27.54/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB55, constB56)) | v102(constB56) | v104(constB56)),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[8006, 8005])).
% 27.54/18.07 tff(8008,plain,
% 27.54/18.07 (v102(constB56) | v104(constB56)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[8007, 392, 7992])).
% 27.54/18.07 tff(8009,plain,
% 27.54/18.07 (v102(constB56)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[8008, 8004])).
% 27.54/18.07 tff(8010,plain,
% 27.54/18.07 (v1(constB56) <=> v1(constB56)),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(8011,axiom,(v1(constB56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_56_1')).
% 27.54/18.07 tff(8012,plain,
% 27.54/18.07 (v1(constB56)),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[8011, 8010])).
% 27.54/18.07 tff(8013,plain,
% 27.54/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(8014,plain,
% 27.54/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(8015,plain,
% 27.54/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56))),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[8014, 8013])).
% 27.54/18.07 tff(8016,plain,
% 27.54/18.07 (v101(constB56) | (~v102(constB56))),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[8015, 410, 7992, 8012])).
% 27.54/18.07 tff(8017,plain,
% 27.54/18.07 (v101(constB56)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[8016, 8009])).
% 27.54/18.07 tff(8018,plain,
% 27.54/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(8019,plain,
% 27.54/18.07 (((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56)) <=> ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(8020,plain,
% 27.54/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56))))),
% 27.54/18.07 inference(monotonicity,[status(thm)],[8019])).
% 27.54/18.07 tff(8021,plain,
% 27.54/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 27.54/18.07 inference(transitivity,[status(thm)],[8020, 8018])).
% 27.54/18.07 tff(8022,plain,
% 27.54/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(8023,plain,
% 27.54/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56))),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[8022, 8021])).
% 27.54/18.07 tff(8024,plain,
% 27.54/18.07 (v100(constB56) | (~v101(constB56)) | (~v110(constB56))),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[8023, 425, 7992])).
% 27.54/18.07 tff(8025,plain,
% 27.54/18.07 (v100(constB56) | (~v110(constB56))),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[8024, 8017])).
% 27.54/18.07 tff(8026,plain,
% 27.54/18.07 (v100(constB56)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[8025, 8000])).
% 27.54/18.07 tff(8027,plain,
% 27.54/18.07 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB55)) | v130(constB55, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB55)) | v130(constB55, 2))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(8028,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB55)) | v130(constB55, 2))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(8029,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB55)) | v130(constB55, 2)),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[8028, 8027])).
% 27.54/18.07 tff(8030,plain,
% 27.54/18.07 (v130(constB55, 2)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[8029, 1484, 7941])).
% 27.54/18.07 tff(8031,assumption,(v26(constB55)), introduced(assumption)).
% 27.54/18.07 tff(8032,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB55))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(8033,plain,
% 27.54/18.07 ($false),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[8032, 95, 8031])).
% 27.54/18.07 tff(8034,plain,(~v26(constB55)), inference(lemma,lemma(discharge,[]))).
% 27.54/18.07 tff(8035,plain,
% 27.54/18.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB55) | (~v130(constB55, 2)) | v127(constB55, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB55) | (~v130(constB55, 2)) | v127(constB55, 2))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(8036,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB55) | (~v130(constB55, 2)) | v127(constB55, 2))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(8037,plain,
% 27.54/18.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB55) | (~v130(constB55, 2)) | v127(constB55, 2)),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[8036, 8035])).
% 27.54/18.07 tff(8038,plain,
% 27.54/18.07 ((~v130(constB55, 2)) | v127(constB55, 2)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[8037, 1498, 8034])).
% 27.54/18.07 tff(8039,plain,
% 27.54/18.07 (v127(constB55, 2)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[8038, 8030])).
% 27.54/18.07 tff(8040,plain,
% 27.54/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB55, constB56)) | (~v127(constB55, 2)) | v129(constB56, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB55, constB56)) | (~v127(constB55, 2)) | v129(constB56, 2))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(8041,plain,
% 27.54/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB55, constB56)) | (~v127(constB55, 2)) | v129(constB56, 2))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(8042,plain,
% 27.54/18.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB55, constB56)) | (~v127(constB55, 2)) | v129(constB56, 2)),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[8041, 8040])).
% 27.54/18.07 tff(8043,plain,
% 27.54/18.07 ((~v127(constB55, 2)) | v129(constB56, 2)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[8042, 1513, 7992])).
% 27.54/18.07 tff(8044,plain,
% 27.54/18.07 (v129(constB56, 2)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[8043, 8039])).
% 27.54/18.07 tff(8045,plain,
% 27.54/18.07 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB56, 2) | (~v129(constB56, 2)) | (~v100(constB56)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB56, 2) | (~v129(constB56, 2)) | (~v100(constB56)))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(8046,plain,
% 27.54/18.07 ((v90(constB56, 2) | (~v100(constB56)) | (~v129(constB56, 2))) <=> (v90(constB56, 2) | (~v129(constB56, 2)) | (~v100(constB56)))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(8047,plain,
% 27.54/18.07 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB56, 2) | (~v100(constB56)) | (~v129(constB56, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB56, 2) | (~v129(constB56, 2)) | (~v100(constB56))))),
% 27.54/18.07 inference(monotonicity,[status(thm)],[8046])).
% 27.54/18.07 tff(8048,plain,
% 27.54/18.07 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB56, 2) | (~v100(constB56)) | (~v129(constB56, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB56, 2) | (~v129(constB56, 2)) | (~v100(constB56)))),
% 27.54/18.07 inference(transitivity,[status(thm)],[8047, 8045])).
% 27.54/18.07 tff(8049,plain,
% 27.54/18.07 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB56, 2) | (~v100(constB56)) | (~v129(constB56, 2)))),
% 27.54/18.07 inference(quant_inst,[status(thm)],[])).
% 27.54/18.07 tff(8050,plain,
% 27.54/18.07 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB56, 2) | (~v129(constB56, 2)) | (~v100(constB56))),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[8049, 8048])).
% 27.54/18.07 tff(8051,plain,
% 27.54/18.07 (v90(constB56, 2) | (~v100(constB56))),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[8050, 1528, 8044])).
% 27.54/18.07 tff(8052,plain,
% 27.54/18.07 (v90(constB56, 2)),
% 27.54/18.07 inference(unit_resolution,[status(thm)],[8051, 8026])).
% 27.54/18.07 tff(8053,plain,
% 27.54/18.07 ((~v1(constB57)) <=> (~v1(constB57))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(8054,axiom,(~v1(constB57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_57_1_1')).
% 27.54/18.07 tff(8055,plain,
% 27.54/18.07 (~v1(constB57)),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[8054, 8053])).
% 27.54/18.07 tff(8056,plain,
% 27.54/18.07 (nextState(constB56, constB57) <=> nextState(constB56, constB57)),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(8057,axiom,(nextState(constB56, constB57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_56_1')).
% 27.54/18.07 tff(8058,plain,
% 27.54/18.07 (nextState(constB56, constB57)),
% 27.54/18.07 inference(modus_ponens,[status(thm)],[8057, 8056])).
% 27.54/18.07 tff(8059,plain,
% 27.54/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(8060,plain,
% 27.54/18.07 (((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57)) <=> (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 27.54/18.07 inference(rewrite,[status(thm)],[])).
% 27.54/18.07 tff(8061,plain,
% 27.54/18.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57))))),
% 27.54/18.08 inference(monotonicity,[status(thm)],[8060])).
% 27.54/18.08 tff(8062,plain,
% 27.54/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 27.54/18.08 inference(transitivity,[status(thm)],[8061, 8059])).
% 27.54/18.08 tff(8063,plain,
% 27.54/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8064,plain,
% 27.54/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57))),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8063, 8062])).
% 27.54/18.08 tff(8065,plain,
% 27.54/18.08 (~v101(constB57)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8064, 138, 8058, 8055])).
% 27.54/18.08 tff(8066,plain,
% 27.54/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8067,plain,
% 27.54/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8068,plain,
% 27.54/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57))),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8067, 8066])).
% 27.54/18.08 tff(8069,plain,
% 27.54/18.08 (v101(constB57) | (~v100(constB57))),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8068, 155, 8058])).
% 27.54/18.08 tff(8070,plain,
% 27.54/18.08 (~v100(constB57)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8069, 8065])).
% 27.54/18.08 tff(8071,plain,
% 27.54/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB56, 2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB56, 2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, 2))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8072,plain,
% 27.54/18.08 (((~nextState(constB56, constB57)) | (~v90(constB56, 2)) | v100(constB57) | v90(constB57, 2)) <=> ((~v90(constB56, 2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, 2))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8073,plain,
% 27.54/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB56, constB57)) | (~v90(constB56, 2)) | v100(constB57) | v90(constB57, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB56, 2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, 2)))),
% 27.54/18.08 inference(monotonicity,[status(thm)],[8072])).
% 27.54/18.08 tff(8074,plain,
% 27.54/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB56, constB57)) | (~v90(constB56, 2)) | v100(constB57) | v90(constB57, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB56, 2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, 2))),
% 27.54/18.08 inference(transitivity,[status(thm)],[8073, 8071])).
% 27.54/18.08 tff(8075,plain,
% 27.54/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB56, constB57)) | (~v90(constB56, 2)) | v100(constB57) | v90(constB57, 2))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8076,plain,
% 27.54/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB56, 2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, 2)),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8075, 8074])).
% 27.54/18.08 tff(8077,plain,
% 27.54/18.08 ((~v90(constB56, 2)) | v100(constB57) | v90(constB57, 2)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8076, 1546, 8058])).
% 27.54/18.08 tff(8078,plain,
% 27.54/18.08 ((~v90(constB56, 2)) | v90(constB57, 2)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8077, 8070])).
% 27.54/18.08 tff(8079,plain,
% 27.54/18.08 (v90(constB57, 2)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8078, 8052])).
% 27.54/18.08 tff(8080,plain,
% 27.54/18.08 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB55)) | (~v130(constB55, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB55)) | (~v130(constB55, 1)))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8081,plain,
% 27.54/18.08 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB55)) | (~v130(constB55, 1)))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8082,plain,
% 27.54/18.08 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB55)) | (~v130(constB55, 1))),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8081, 8080])).
% 27.54/18.08 tff(8083,plain,
% 27.54/18.08 (~v130(constB55, 1)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8082, 1424, 7941])).
% 27.54/18.08 tff(8084,plain,
% 27.54/18.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB55, 1)) | v26(constB55) | v130(constB55, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB55, 1)) | v26(constB55) | v130(constB55, 1))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8085,plain,
% 27.54/18.08 ((v26(constB55) | v130(constB55, 1) | (~v127(constB55, 1))) <=> ((~v127(constB55, 1)) | v26(constB55) | v130(constB55, 1))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8086,plain,
% 27.54/18.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB55) | v130(constB55, 1) | (~v127(constB55, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB55, 1)) | v26(constB55) | v130(constB55, 1)))),
% 27.54/18.08 inference(monotonicity,[status(thm)],[8085])).
% 27.54/18.08 tff(8087,plain,
% 27.54/18.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB55) | v130(constB55, 1) | (~v127(constB55, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB55, 1)) | v26(constB55) | v130(constB55, 1))),
% 27.54/18.08 inference(transitivity,[status(thm)],[8086, 8084])).
% 27.54/18.08 tff(8088,plain,
% 27.54/18.08 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB55) | v130(constB55, 1) | (~v127(constB55, 1)))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8089,plain,
% 27.54/18.08 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB55, 1)) | v26(constB55) | v130(constB55, 1)),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8088, 8087])).
% 27.54/18.08 tff(8090,plain,
% 27.54/18.08 ((~v127(constB55, 1)) | v130(constB55, 1)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8089, 541, 8034])).
% 27.54/18.08 tff(8091,plain,
% 27.54/18.08 (~v127(constB55, 1)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8090, 8083])).
% 27.54/18.08 tff(8092,plain,
% 27.54/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB55, constB56)) | v127(constB55, 1) | (~v129(constB56, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB55, constB56)) | v127(constB55, 1) | (~v129(constB56, 1)))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8093,plain,
% 27.54/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB55, constB56)) | v127(constB55, 1) | (~v129(constB56, 1)))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8094,plain,
% 27.54/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB55, constB56)) | v127(constB55, 1) | (~v129(constB56, 1))),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8093, 8092])).
% 27.54/18.08 tff(8095,plain,
% 27.54/18.08 (v127(constB55, 1) | (~v129(constB56, 1))),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8094, 559, 7992])).
% 27.54/18.08 tff(8096,plain,
% 27.54/18.08 (~v129(constB56, 1)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8095, 8091])).
% 27.54/18.08 tff(8097,plain,
% 27.54/18.08 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB56, 1)) | v129(constB56, 1) | (~v100(constB56)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB56, 1)) | v129(constB56, 1) | (~v100(constB56)))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8098,plain,
% 27.54/18.08 (((~v90(constB56, 1)) | (~v100(constB56)) | v129(constB56, 1)) <=> ((~v90(constB56, 1)) | v129(constB56, 1) | (~v100(constB56)))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8099,plain,
% 27.54/18.08 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB56, 1)) | (~v100(constB56)) | v129(constB56, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB56, 1)) | v129(constB56, 1) | (~v100(constB56))))),
% 27.54/18.08 inference(monotonicity,[status(thm)],[8098])).
% 27.54/18.08 tff(8100,plain,
% 27.54/18.08 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB56, 1)) | (~v100(constB56)) | v129(constB56, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB56, 1)) | v129(constB56, 1) | (~v100(constB56)))),
% 27.54/18.08 inference(transitivity,[status(thm)],[8099, 8097])).
% 27.54/18.08 tff(8101,plain,
% 27.54/18.08 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB56, 1)) | (~v100(constB56)) | v129(constB56, 1))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8102,plain,
% 27.54/18.08 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB56, 1)) | v129(constB56, 1) | (~v100(constB56))),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8101, 8100])).
% 27.54/18.08 tff(8103,plain,
% 27.54/18.08 ((~v90(constB56, 1)) | (~v100(constB56))),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8102, 574, 8096])).
% 27.54/18.08 tff(8104,plain,
% 27.54/18.08 (~v90(constB56, 1)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8103, 8026])).
% 27.54/18.08 tff(8105,plain,
% 27.54/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB56, 1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB56, 1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 1)))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8106,plain,
% 27.54/18.08 (((~nextState(constB56, constB57)) | v90(constB56, 1) | v100(constB57) | (~v90(constB57, 1))) <=> (v90(constB56, 1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 1)))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8107,plain,
% 27.54/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB56, constB57)) | v90(constB56, 1) | v100(constB57) | (~v90(constB57, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB56, 1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 1))))),
% 27.54/18.08 inference(monotonicity,[status(thm)],[8106])).
% 27.54/18.08 tff(8108,plain,
% 27.54/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB56, constB57)) | v90(constB56, 1) | v100(constB57) | (~v90(constB57, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB56, 1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 1)))),
% 27.54/18.08 inference(transitivity,[status(thm)],[8107, 8105])).
% 27.54/18.08 tff(8109,plain,
% 27.54/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB56, constB57)) | v90(constB56, 1) | v100(constB57) | (~v90(constB57, 1)))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8110,plain,
% 27.54/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB56, 1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 1))),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8109, 8108])).
% 27.54/18.08 tff(8111,plain,
% 27.54/18.08 (v90(constB56, 1) | v100(constB57) | (~v90(constB57, 1))),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8110, 191, 8058])).
% 27.54/18.08 tff(8112,plain,
% 27.54/18.08 (v90(constB56, 1) | (~v90(constB57, 1))),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8111, 8070])).
% 27.54/18.08 tff(8113,plain,
% 27.54/18.08 (~v90(constB57, 1)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8112, 8104])).
% 27.54/18.08 tff(8114,plain,
% 27.54/18.08 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB55)) | (~v130(constB55, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB55)) | (~v130(constB55, 0)))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8115,plain,
% 27.54/18.08 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB55)) | (~v130(constB55, 0)))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8116,plain,
% 27.54/18.08 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB55)) | (~v130(constB55, 0))),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8115, 8114])).
% 27.54/18.08 tff(8117,plain,
% 27.54/18.08 (~v130(constB55, 0)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8116, 1351, 7941])).
% 27.54/18.08 tff(8118,plain,
% 27.54/18.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB55, 0)) | v26(constB55) | v130(constB55, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB55, 0)) | v26(constB55) | v130(constB55, 0))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8119,plain,
% 27.54/18.08 ((v26(constB55) | v130(constB55, 0) | (~v127(constB55, 0))) <=> ((~v127(constB55, 0)) | v26(constB55) | v130(constB55, 0))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8120,plain,
% 27.54/18.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB55) | v130(constB55, 0) | (~v127(constB55, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB55, 0)) | v26(constB55) | v130(constB55, 0)))),
% 27.54/18.08 inference(monotonicity,[status(thm)],[8119])).
% 27.54/18.08 tff(8121,plain,
% 27.54/18.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB55) | v130(constB55, 0) | (~v127(constB55, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB55, 0)) | v26(constB55) | v130(constB55, 0))),
% 27.54/18.08 inference(transitivity,[status(thm)],[8120, 8118])).
% 27.54/18.08 tff(8122,plain,
% 27.54/18.08 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB55) | v130(constB55, 0) | (~v127(constB55, 0)))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8123,plain,
% 27.54/18.08 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB55, 0)) | v26(constB55) | v130(constB55, 0)),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8122, 8121])).
% 27.54/18.08 tff(8124,plain,
% 27.54/18.08 ((~v127(constB55, 0)) | v130(constB55, 0)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8123, 933, 8034])).
% 27.54/18.08 tff(8125,plain,
% 27.54/18.08 (~v127(constB55, 0)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8124, 8117])).
% 27.54/18.08 tff(8126,plain,
% 27.54/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB55, constB56)) | v127(constB55, 0) | (~v129(constB56, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB55, constB56)) | v127(constB55, 0) | (~v129(constB56, 0)))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8127,plain,
% 27.54/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB55, constB56)) | v127(constB55, 0) | (~v129(constB56, 0)))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8128,plain,
% 27.54/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB55, constB56)) | v127(constB55, 0) | (~v129(constB56, 0))),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8127, 8126])).
% 27.54/18.08 tff(8129,plain,
% 27.54/18.08 (v127(constB55, 0) | (~v129(constB56, 0))),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8128, 951, 7992])).
% 27.54/18.08 tff(8130,plain,
% 27.54/18.08 (~v129(constB56, 0)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8129, 8125])).
% 27.54/18.08 tff(8131,plain,
% 27.54/18.08 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB56, 0)) | v129(constB56, 0) | (~v100(constB56)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB56, 0)) | v129(constB56, 0) | (~v100(constB56)))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8132,plain,
% 27.54/18.08 (((~v90(constB56, 0)) | (~v100(constB56)) | v129(constB56, 0)) <=> ((~v90(constB56, 0)) | v129(constB56, 0) | (~v100(constB56)))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8133,plain,
% 27.54/18.08 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB56, 0)) | (~v100(constB56)) | v129(constB56, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB56, 0)) | v129(constB56, 0) | (~v100(constB56))))),
% 27.54/18.08 inference(monotonicity,[status(thm)],[8132])).
% 27.54/18.08 tff(8134,plain,
% 27.54/18.08 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB56, 0)) | (~v100(constB56)) | v129(constB56, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB56, 0)) | v129(constB56, 0) | (~v100(constB56)))),
% 27.54/18.08 inference(transitivity,[status(thm)],[8133, 8131])).
% 27.54/18.08 tff(8135,plain,
% 27.54/18.08 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB56, 0)) | (~v100(constB56)) | v129(constB56, 0))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8136,plain,
% 27.54/18.08 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB56, 0)) | v129(constB56, 0) | (~v100(constB56))),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8135, 8134])).
% 27.54/18.08 tff(8137,plain,
% 27.54/18.08 ((~v90(constB56, 0)) | (~v100(constB56))),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8136, 966, 8130])).
% 27.54/18.08 tff(8138,plain,
% 27.54/18.08 (~v90(constB56, 0)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8137, 8026])).
% 27.54/18.08 tff(8139,plain,
% 27.54/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB56, 0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB56, 0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 0)))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8140,plain,
% 27.54/18.08 (((~nextState(constB56, constB57)) | v90(constB56, 0) | v100(constB57) | (~v90(constB57, 0))) <=> (v90(constB56, 0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 0)))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8141,plain,
% 27.54/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB56, constB57)) | v90(constB56, 0) | v100(constB57) | (~v90(constB57, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB56, 0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 0))))),
% 27.54/18.08 inference(monotonicity,[status(thm)],[8140])).
% 27.54/18.08 tff(8142,plain,
% 27.54/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB56, constB57)) | v90(constB56, 0) | v100(constB57) | (~v90(constB57, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB56, 0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 0)))),
% 27.54/18.08 inference(transitivity,[status(thm)],[8141, 8139])).
% 27.54/18.08 tff(8143,plain,
% 27.54/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB56, constB57)) | v90(constB56, 0) | v100(constB57) | (~v90(constB57, 0)))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8144,plain,
% 27.54/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB56, 0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 0))),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8143, 8142])).
% 27.54/18.08 tff(8145,plain,
% 27.54/18.08 (v90(constB56, 0) | v100(constB57) | (~v90(constB57, 0))),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8144, 212, 8058])).
% 27.54/18.08 tff(8146,plain,
% 27.54/18.08 (v90(constB56, 0) | (~v90(constB57, 0))),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8145, 8070])).
% 27.54/18.08 tff(8147,plain,
% 27.54/18.08 (~v90(constB57, 0)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8146, 8138])).
% 27.54/18.08 tff(8148,plain,
% 27.54/18.08 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB57, 0) | v90(constB57, 1) | (~v90(constB57, 2)) | v123(constB57))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB57, 0) | v90(constB57, 1) | (~v90(constB57, 2)) | v123(constB57))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8149,plain,
% 27.54/18.08 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB57, 0) | v90(constB57, 1) | (~v90(constB57, 2)) | v123(constB57))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8150,plain,
% 27.54/18.08 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB57, 0) | v90(constB57, 1) | (~v90(constB57, 2)) | v123(constB57)),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8149, 8148])).
% 27.54/18.08 tff(8151,plain,
% 27.54/18.08 (v123(constB57)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8150, 1565, 8147, 8113, 8079])).
% 27.54/18.08 tff(8152,plain,
% 27.54/18.08 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB57) | (~v123(constB57)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB57) | (~v123(constB57)))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8153,plain,
% 27.54/18.08 (((~v123(constB57)) | v115(constB57)) <=> (v115(constB57) | (~v123(constB57)))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8154,plain,
% 27.54/18.08 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB57)) | v115(constB57))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB57) | (~v123(constB57))))),
% 27.54/18.08 inference(monotonicity,[status(thm)],[8153])).
% 27.54/18.08 tff(8155,plain,
% 27.54/18.08 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB57)) | v115(constB57))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB57) | (~v123(constB57)))),
% 27.54/18.08 inference(transitivity,[status(thm)],[8154, 8152])).
% 27.54/18.08 tff(8156,plain,
% 27.54/18.08 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB57)) | v115(constB57))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8157,plain,
% 27.54/18.08 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB57) | (~v123(constB57))),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8156, 8155])).
% 27.54/18.08 tff(8158,plain,
% 27.54/18.08 (v115(constB57)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8157, 1579, 8151])).
% 27.54/18.08 tff(8159,plain,
% 27.54/18.08 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB57)) | v114(constB57))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB57)) | v114(constB57))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8160,plain,
% 27.54/18.08 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB57)) | v114(constB57))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8161,plain,
% 27.54/18.08 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB57)) | v114(constB57)),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8160, 8159])).
% 27.54/18.08 tff(8162,plain,
% 27.54/18.08 (v114(constB57)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8161, 300, 8158])).
% 27.54/18.08 tff(8163,plain,
% 27.54/18.08 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB57)) | v113(constB57))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB57)) | v113(constB57))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8164,plain,
% 27.54/18.08 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB57)) | v113(constB57))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8165,plain,
% 27.54/18.08 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB57)) | v113(constB57)),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8164, 8163])).
% 27.54/18.08 tff(8166,plain,
% 27.54/18.08 (v113(constB57)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8165, 314, 8162])).
% 27.54/18.08 tff(8167,assumption,(v26(constB57)), introduced(assumption)).
% 27.54/18.08 tff(8168,plain,
% 27.54/18.08 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB57))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8169,plain,
% 27.54/18.08 ($false),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8168, 95, 8167])).
% 27.54/18.08 tff(8170,plain,(~v26(constB57)), inference(lemma,lemma(discharge,[]))).
% 27.54/18.08 tff(8171,plain,
% 27.54/18.08 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | v112(constB57) | (~v113(constB57)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | v112(constB57) | (~v113(constB57)))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8172,plain,
% 27.54/18.08 ((v26(constB57) | (~v113(constB57)) | v112(constB57)) <=> (v26(constB57) | v112(constB57) | (~v113(constB57)))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8173,plain,
% 27.54/18.08 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | (~v113(constB57)) | v112(constB57))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | v112(constB57) | (~v113(constB57))))),
% 27.54/18.08 inference(monotonicity,[status(thm)],[8172])).
% 27.54/18.08 tff(8174,plain,
% 27.54/18.08 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | (~v113(constB57)) | v112(constB57))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | v112(constB57) | (~v113(constB57)))),
% 27.54/18.08 inference(transitivity,[status(thm)],[8173, 8171])).
% 27.54/18.08 tff(8175,plain,
% 27.54/18.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | (~v113(constB57)) | v112(constB57))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8176,plain,
% 27.54/18.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | v112(constB57) | (~v113(constB57))),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8175, 8174])).
% 27.54/18.08 tff(8177,plain,
% 27.54/18.08 (v112(constB57) | (~v113(constB57))),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8176, 328, 8170])).
% 27.54/18.08 tff(8178,plain,
% 27.54/18.08 (v112(constB57)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8177, 8166])).
% 27.54/18.08 tff(8179,plain,
% 27.54/18.08 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB57) | (~v112(constB57)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB57) | (~v112(constB57)))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8180,plain,
% 27.54/18.08 (((~v112(constB57)) | v108(constB57)) <=> (v108(constB57) | (~v112(constB57)))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8181,plain,
% 27.54/18.08 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB57)) | v108(constB57))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB57) | (~v112(constB57))))),
% 27.54/18.08 inference(monotonicity,[status(thm)],[8180])).
% 27.54/18.08 tff(8182,plain,
% 27.54/18.08 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB57)) | v108(constB57))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB57) | (~v112(constB57)))),
% 27.54/18.08 inference(transitivity,[status(thm)],[8181, 8179])).
% 27.54/18.08 tff(8183,plain,
% 27.54/18.08 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB57)) | v108(constB57))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8184,plain,
% 27.54/18.08 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB57) | (~v112(constB57))),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8183, 8182])).
% 27.54/18.08 tff(8185,plain,
% 27.54/18.08 (v108(constB57)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8184, 340, 8178])).
% 27.54/18.08 tff(8186,plain,
% 27.54/18.08 (nextState(constB57, constB58) <=> nextState(constB57, constB58)),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8187,axiom,(nextState(constB57, constB58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_57_1')).
% 27.54/18.08 tff(8188,plain,
% 27.54/18.08 (nextState(constB57, constB58)),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8187, 8186])).
% 27.54/18.08 tff(8189,plain,
% 27.54/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8190,plain,
% 27.54/18.08 (((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58)) <=> ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8191,plain,
% 27.54/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57))))),
% 27.54/18.08 inference(monotonicity,[status(thm)],[8190])).
% 27.54/18.08 tff(8192,plain,
% 27.54/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 27.54/18.08 inference(transitivity,[status(thm)],[8191, 8189])).
% 27.54/18.08 tff(8193,plain,
% 27.54/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8194,plain,
% 27.54/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57))),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8193, 8192])).
% 27.54/18.08 tff(8195,plain,
% 27.54/18.08 (v110(constB58) | (~v108(constB57))),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8194, 360, 8188])).
% 27.54/18.08 tff(8196,plain,
% 27.54/18.08 (v110(constB58)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8195, 8185])).
% 27.54/18.08 tff(8197,plain,
% 27.54/18.08 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8198,plain,
% 27.54/18.08 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8199,plain,
% 27.54/18.08 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58))),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8198, 8197])).
% 27.54/18.08 tff(8200,plain,
% 27.54/18.08 (~v104(constB58)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8199, 378, 8188, 8055])).
% 27.54/18.08 tff(8201,plain,
% 27.54/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8202,plain,
% 27.54/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8203,plain,
% 27.54/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB57, constB58)) | v102(constB58) | v104(constB58)),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8202, 8201])).
% 27.54/18.08 tff(8204,plain,
% 27.54/18.08 (v102(constB58) | v104(constB58)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8203, 392, 8188])).
% 27.54/18.08 tff(8205,plain,
% 27.54/18.08 (v102(constB58)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8204, 8200])).
% 27.54/18.08 tff(8206,plain,
% 27.54/18.08 (v1(constB58) <=> v1(constB58)),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8207,axiom,(v1(constB58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_58_1')).
% 27.54/18.08 tff(8208,plain,
% 27.54/18.08 (v1(constB58)),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8207, 8206])).
% 27.54/18.08 tff(8209,plain,
% 27.54/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8210,plain,
% 27.54/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8211,plain,
% 27.54/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58))),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8210, 8209])).
% 27.54/18.08 tff(8212,plain,
% 27.54/18.08 (v101(constB58) | (~v102(constB58))),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8211, 410, 8188, 8208])).
% 27.54/18.08 tff(8213,plain,
% 27.54/18.08 (v101(constB58)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8212, 8205])).
% 27.54/18.08 tff(8214,plain,
% 27.54/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8215,plain,
% 27.54/18.08 (((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58)) <=> ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8216,plain,
% 27.54/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58))))),
% 27.54/18.08 inference(monotonicity,[status(thm)],[8215])).
% 27.54/18.08 tff(8217,plain,
% 27.54/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 27.54/18.08 inference(transitivity,[status(thm)],[8216, 8214])).
% 27.54/18.08 tff(8218,plain,
% 27.54/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8219,plain,
% 27.54/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58))),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8218, 8217])).
% 27.54/18.08 tff(8220,plain,
% 27.54/18.08 (v100(constB58) | (~v101(constB58)) | (~v110(constB58))),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8219, 425, 8188])).
% 27.54/18.08 tff(8221,plain,
% 27.54/18.08 (v100(constB58) | (~v110(constB58))),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8220, 8213])).
% 27.54/18.08 tff(8222,plain,
% 27.54/18.08 (v100(constB58)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8221, 8196])).
% 27.54/18.08 tff(8223,plain,
% 27.54/18.08 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB57)) | v130(constB57, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB57)) | v130(constB57, 2))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8224,plain,
% 27.54/18.08 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB57)) | v130(constB57, 2))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8225,plain,
% 27.54/18.08 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB57)) | v130(constB57, 2)),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8224, 8223])).
% 27.54/18.08 tff(8226,plain,
% 27.54/18.08 (v130(constB57, 2)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8225, 1656, 8151])).
% 27.54/18.08 tff(8227,plain,
% 27.54/18.08 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB57) | (~v130(constB57, 2)) | v127(constB57, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB57) | (~v130(constB57, 2)) | v127(constB57, 2))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8228,plain,
% 27.54/18.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB57) | (~v130(constB57, 2)) | v127(constB57, 2))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8229,plain,
% 27.54/18.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB57) | (~v130(constB57, 2)) | v127(constB57, 2)),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8228, 8227])).
% 27.54/18.08 tff(8230,plain,
% 27.54/18.08 ((~v130(constB57, 2)) | v127(constB57, 2)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8229, 1498, 8170])).
% 27.54/18.08 tff(8231,plain,
% 27.54/18.08 (v127(constB57, 2)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8230, 8226])).
% 27.54/18.08 tff(8232,plain,
% 27.54/18.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB57, constB58)) | (~v127(constB57, 2)) | v129(constB58, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB57, constB58)) | (~v127(constB57, 2)) | v129(constB58, 2))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8233,plain,
% 27.54/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB57, constB58)) | (~v127(constB57, 2)) | v129(constB58, 2))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8234,plain,
% 27.54/18.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB57, constB58)) | (~v127(constB57, 2)) | v129(constB58, 2)),
% 27.54/18.08 inference(modus_ponens,[status(thm)],[8233, 8232])).
% 27.54/18.08 tff(8235,plain,
% 27.54/18.08 ((~v127(constB57, 2)) | v129(constB58, 2)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8234, 1513, 8188])).
% 27.54/18.08 tff(8236,plain,
% 27.54/18.08 (v129(constB58, 2)),
% 27.54/18.08 inference(unit_resolution,[status(thm)],[8235, 8231])).
% 27.54/18.08 tff(8237,plain,
% 27.54/18.08 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB58, 2) | (~v129(constB58, 2)) | (~v100(constB58)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB58, 2) | (~v129(constB58, 2)) | (~v100(constB58)))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8238,plain,
% 27.54/18.08 ((v90(constB58, 2) | (~v100(constB58)) | (~v129(constB58, 2))) <=> (v90(constB58, 2) | (~v129(constB58, 2)) | (~v100(constB58)))),
% 27.54/18.08 inference(rewrite,[status(thm)],[])).
% 27.54/18.08 tff(8239,plain,
% 27.54/18.08 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB58, 2) | (~v100(constB58)) | (~v129(constB58, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB58, 2) | (~v129(constB58, 2)) | (~v100(constB58))))),
% 27.54/18.08 inference(monotonicity,[status(thm)],[8238])).
% 27.54/18.08 tff(8240,plain,
% 27.54/18.08 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB58, 2) | (~v100(constB58)) | (~v129(constB58, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB58, 2) | (~v129(constB58, 2)) | (~v100(constB58)))),
% 27.54/18.08 inference(transitivity,[status(thm)],[8239, 8237])).
% 27.54/18.08 tff(8241,plain,
% 27.54/18.08 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB58, 2) | (~v100(constB58)) | (~v129(constB58, 2)))),
% 27.54/18.08 inference(quant_inst,[status(thm)],[])).
% 27.54/18.08 tff(8242,plain,
% 27.54/18.08 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB58, 2) | (~v129(constB58, 2)) | (~v100(constB58))),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8241, 8240])).
% 27.54/18.09 tff(8243,plain,
% 27.54/18.09 (v90(constB58, 2) | (~v100(constB58))),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8242, 1528, 8236])).
% 27.54/18.09 tff(8244,plain,
% 27.54/18.09 (v90(constB58, 2)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8243, 8222])).
% 27.54/18.09 tff(8245,plain,
% 27.54/18.09 ((~v1(constB59)) <=> (~v1(constB59))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8246,axiom,(~v1(constB59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_59_1_1')).
% 27.54/18.09 tff(8247,plain,
% 27.54/18.09 (~v1(constB59)),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8246, 8245])).
% 27.54/18.09 tff(8248,plain,
% 27.54/18.09 (nextState(constB58, constB59) <=> nextState(constB58, constB59)),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8249,axiom,(nextState(constB58, constB59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_58_1')).
% 27.54/18.09 tff(8250,plain,
% 27.54/18.09 (nextState(constB58, constB59)),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8249, 8248])).
% 27.54/18.09 tff(8251,plain,
% 27.54/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8252,plain,
% 27.54/18.09 (((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59)) <=> (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8253,plain,
% 27.54/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59))))),
% 27.54/18.09 inference(monotonicity,[status(thm)],[8252])).
% 27.54/18.09 tff(8254,plain,
% 27.54/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 27.54/18.09 inference(transitivity,[status(thm)],[8253, 8251])).
% 27.54/18.09 tff(8255,plain,
% 27.54/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8256,plain,
% 27.54/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59))),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8255, 8254])).
% 27.54/18.09 tff(8257,plain,
% 27.54/18.09 (~v101(constB59)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8256, 138, 8250, 8247])).
% 27.54/18.09 tff(8258,plain,
% 27.54/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8259,plain,
% 27.54/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8260,plain,
% 27.54/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59))),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8259, 8258])).
% 27.54/18.09 tff(8261,plain,
% 27.54/18.09 (v101(constB59) | (~v100(constB59))),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8260, 155, 8250])).
% 27.54/18.09 tff(8262,plain,
% 27.54/18.09 (~v100(constB59)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8261, 8257])).
% 27.54/18.09 tff(8263,plain,
% 27.54/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB58, 2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB58, 2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 2))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8264,plain,
% 27.54/18.09 (((~nextState(constB58, constB59)) | (~v90(constB58, 2)) | v100(constB59) | v90(constB59, 2)) <=> ((~v90(constB58, 2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 2))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8265,plain,
% 27.54/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB58, constB59)) | (~v90(constB58, 2)) | v100(constB59) | v90(constB59, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB58, 2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 2)))),
% 27.54/18.09 inference(monotonicity,[status(thm)],[8264])).
% 27.54/18.09 tff(8266,plain,
% 27.54/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB58, constB59)) | (~v90(constB58, 2)) | v100(constB59) | v90(constB59, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB58, 2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 2))),
% 27.54/18.09 inference(transitivity,[status(thm)],[8265, 8263])).
% 27.54/18.09 tff(8267,plain,
% 27.54/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB58, constB59)) | (~v90(constB58, 2)) | v100(constB59) | v90(constB59, 2))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8268,plain,
% 27.54/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB58, 2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 2)),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8267, 8266])).
% 27.54/18.09 tff(8269,plain,
% 27.54/18.09 ((~v90(constB58, 2)) | v100(constB59) | v90(constB59, 2)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8268, 1546, 8250])).
% 27.54/18.09 tff(8270,plain,
% 27.54/18.09 ((~v90(constB58, 2)) | v90(constB59, 2)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8269, 8262])).
% 27.54/18.09 tff(8271,plain,
% 27.54/18.09 (v90(constB59, 2)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8270, 8244])).
% 27.54/18.09 tff(8272,plain,
% 27.54/18.09 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB57)) | (~v130(constB57, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB57)) | (~v130(constB57, 1)))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8273,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB57)) | (~v130(constB57, 1)))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8274,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB57)) | (~v130(constB57, 1))),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8273, 8272])).
% 27.54/18.09 tff(8275,plain,
% 27.54/18.09 (~v130(constB57, 1)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8274, 1712, 8151])).
% 27.54/18.09 tff(8276,plain,
% 27.54/18.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB57, 1)) | v26(constB57) | v130(constB57, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB57, 1)) | v26(constB57) | v130(constB57, 1))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8277,plain,
% 27.54/18.09 ((v26(constB57) | v130(constB57, 1) | (~v127(constB57, 1))) <=> ((~v127(constB57, 1)) | v26(constB57) | v130(constB57, 1))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8278,plain,
% 27.54/18.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB57) | v130(constB57, 1) | (~v127(constB57, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB57, 1)) | v26(constB57) | v130(constB57, 1)))),
% 27.54/18.09 inference(monotonicity,[status(thm)],[8277])).
% 27.54/18.09 tff(8279,plain,
% 27.54/18.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB57) | v130(constB57, 1) | (~v127(constB57, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB57, 1)) | v26(constB57) | v130(constB57, 1))),
% 27.54/18.09 inference(transitivity,[status(thm)],[8278, 8276])).
% 27.54/18.09 tff(8280,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB57) | v130(constB57, 1) | (~v127(constB57, 1)))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8281,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB57, 1)) | v26(constB57) | v130(constB57, 1)),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8280, 8279])).
% 27.54/18.09 tff(8282,plain,
% 27.54/18.09 ((~v127(constB57, 1)) | v130(constB57, 1)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8281, 541, 8170])).
% 27.54/18.09 tff(8283,plain,
% 27.54/18.09 (~v127(constB57, 1)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8282, 8275])).
% 27.54/18.09 tff(8284,plain,
% 27.54/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB57, constB58)) | v127(constB57, 1) | (~v129(constB58, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB57, constB58)) | v127(constB57, 1) | (~v129(constB58, 1)))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8285,plain,
% 27.54/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB57, constB58)) | v127(constB57, 1) | (~v129(constB58, 1)))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8286,plain,
% 27.54/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB57, constB58)) | v127(constB57, 1) | (~v129(constB58, 1))),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8285, 8284])).
% 27.54/18.09 tff(8287,plain,
% 27.54/18.09 (v127(constB57, 1) | (~v129(constB58, 1))),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8286, 559, 8188])).
% 27.54/18.09 tff(8288,plain,
% 27.54/18.09 (~v129(constB58, 1)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8287, 8283])).
% 27.54/18.09 tff(8289,plain,
% 27.54/18.09 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB58, 1)) | v129(constB58, 1) | (~v100(constB58)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB58, 1)) | v129(constB58, 1) | (~v100(constB58)))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8290,plain,
% 27.54/18.09 (((~v90(constB58, 1)) | (~v100(constB58)) | v129(constB58, 1)) <=> ((~v90(constB58, 1)) | v129(constB58, 1) | (~v100(constB58)))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8291,plain,
% 27.54/18.09 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB58, 1)) | (~v100(constB58)) | v129(constB58, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB58, 1)) | v129(constB58, 1) | (~v100(constB58))))),
% 27.54/18.09 inference(monotonicity,[status(thm)],[8290])).
% 27.54/18.09 tff(8292,plain,
% 27.54/18.09 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB58, 1)) | (~v100(constB58)) | v129(constB58, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB58, 1)) | v129(constB58, 1) | (~v100(constB58)))),
% 27.54/18.09 inference(transitivity,[status(thm)],[8291, 8289])).
% 27.54/18.09 tff(8293,plain,
% 27.54/18.09 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB58, 1)) | (~v100(constB58)) | v129(constB58, 1))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8294,plain,
% 27.54/18.09 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB58, 1)) | v129(constB58, 1) | (~v100(constB58))),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8293, 8292])).
% 27.54/18.09 tff(8295,plain,
% 27.54/18.09 ((~v90(constB58, 1)) | (~v100(constB58))),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8294, 574, 8288])).
% 27.54/18.09 tff(8296,plain,
% 27.54/18.09 (~v90(constB58, 1)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8295, 8222])).
% 27.54/18.09 tff(8297,plain,
% 27.54/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB58, 1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB58, 1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, 1)))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8298,plain,
% 27.54/18.09 (((~nextState(constB58, constB59)) | v90(constB58, 1) | v100(constB59) | (~v90(constB59, 1))) <=> (v90(constB58, 1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, 1)))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8299,plain,
% 27.54/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB58, constB59)) | v90(constB58, 1) | v100(constB59) | (~v90(constB59, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB58, 1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, 1))))),
% 27.54/18.09 inference(monotonicity,[status(thm)],[8298])).
% 27.54/18.09 tff(8300,plain,
% 27.54/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB58, constB59)) | v90(constB58, 1) | v100(constB59) | (~v90(constB59, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB58, 1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, 1)))),
% 27.54/18.09 inference(transitivity,[status(thm)],[8299, 8297])).
% 27.54/18.09 tff(8301,plain,
% 27.54/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB58, constB59)) | v90(constB58, 1) | v100(constB59) | (~v90(constB59, 1)))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8302,plain,
% 27.54/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB58, 1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, 1))),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8301, 8300])).
% 27.54/18.09 tff(8303,plain,
% 27.54/18.09 (v90(constB58, 1) | v100(constB59) | (~v90(constB59, 1))),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8302, 191, 8250])).
% 27.54/18.09 tff(8304,plain,
% 27.54/18.09 (v90(constB58, 1) | (~v90(constB59, 1))),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8303, 8262])).
% 27.54/18.09 tff(8305,plain,
% 27.54/18.09 (~v90(constB59, 1)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8304, 8296])).
% 27.54/18.09 tff(8306,plain,
% 27.54/18.09 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB57)) | (~v90(constB57, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB57)) | (~v90(constB57, 2)))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8307,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB57)) | (~v90(constB57, 2)))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8308,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB57)) | (~v90(constB57, 2))),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8307, 8306])).
% 27.54/18.09 tff(8309,plain,
% 27.54/18.09 (~v120(constB57)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8308, 3898, 8079])).
% 27.54/18.09 tff(8310,plain,
% 27.54/18.09 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB57)) | v90(constB57, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB57)) | v90(constB57, 0))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8311,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB57)) | v90(constB57, 0))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8312,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB57)) | v90(constB57, 0)),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8311, 8310])).
% 27.54/18.09 tff(8313,plain,
% 27.54/18.09 (~v124(constB57)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8312, 4876, 8147])).
% 27.54/18.09 tff(8314,plain,
% 27.54/18.09 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB57)) | (~v90(constB57, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB57)) | (~v90(constB57, 2)))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8315,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB57)) | (~v90(constB57, 2)))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8316,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB57)) | (~v90(constB57, 2))),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8315, 8314])).
% 27.54/18.09 tff(8317,plain,
% 27.54/18.09 (~v122(constB57)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8316, 2119, 8079])).
% 27.54/18.09 tff(8318,assumption,(~v130(constB57, 0)), introduced(assumption)).
% 27.54/18.09 tff(8319,plain,
% 27.54/18.09 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB57)) | v130(constB57, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB57)) | v130(constB57, 0))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8320,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB57)) | v130(constB57, 0))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8321,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB57)) | v130(constB57, 0)),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8320, 8319])).
% 27.54/18.09 tff(8322,plain,
% 27.54/18.09 (~v119(constB57)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8321, 598, 8318])).
% 27.54/18.09 tff(8323,plain,
% 27.54/18.09 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB57)) | v130(constB57, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB57)) | v130(constB57, 0))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8324,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB57)) | v130(constB57, 0))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8325,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB57)) | v130(constB57, 0)),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8324, 8323])).
% 27.54/18.09 tff(8326,plain,
% 27.54/18.09 (~v123(constB57)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8325, 1753, 8318])).
% 27.54/18.09 tff(8327,plain,
% 27.54/18.09 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB57)) | v130(constB57, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB57)) | v130(constB57, 0))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8328,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB57)) | v130(constB57, 0))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8329,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB57)) | v130(constB57, 0)),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8328, 8327])).
% 27.54/18.09 tff(8330,plain,
% 27.54/18.09 (~v121(constB57)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8329, 1099, 8318])).
% 27.54/18.09 tff(8331,assumption,(~v120(constB57)), introduced(assumption)).
% 27.54/18.09 tff(8332,assumption,(~v122(constB57)), introduced(assumption)).
% 27.54/18.09 tff(8333,assumption,(~v124(constB57)), introduced(assumption)).
% 27.54/18.09 tff(8334,plain,
% 27.54/18.09 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB57) | v120(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | v130(constB57, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB57) | v120(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | v130(constB57, 0))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8335,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB57) | v120(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | v130(constB57, 0))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8336,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB57) | v120(constB57) | v121(constB57) | v122(constB57) | v123(constB57) | v124(constB57) | v130(constB57, 0)),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8335, 8334])).
% 27.54/18.09 tff(8337,plain,
% 27.54/18.09 (v119(constB57) | v121(constB57) | v123(constB57) | v130(constB57, 0)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8336, 2258, 8333, 8332, 8331])).
% 27.54/18.09 tff(8338,plain,
% 27.54/18.09 ($false),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8337, 8330, 8326, 8318, 8322])).
% 27.54/18.09 tff(8339,plain,(v130(constB57, 0) | v124(constB57) | v122(constB57) | v120(constB57)), inference(lemma,lemma(discharge,[]))).
% 27.54/18.09 tff(8340,plain,
% 27.54/18.09 (v130(constB57, 0)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8339, 8317, 8313, 8309])).
% 27.54/18.09 tff(8341,plain,
% 27.54/18.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB57) | (~v130(constB57, 0)) | v127(constB57, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB57) | (~v130(constB57, 0)) | v127(constB57, 0))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8342,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB57) | (~v130(constB57, 0)) | v127(constB57, 0))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8343,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB57) | (~v130(constB57, 0)) | v127(constB57, 0)),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8342, 8341])).
% 27.54/18.09 tff(8344,plain,
% 27.54/18.09 ((~v130(constB57, 0)) | v127(constB57, 0)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8343, 612, 8170])).
% 27.54/18.09 tff(8345,plain,
% 27.54/18.09 (v127(constB57, 0)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8344, 8340])).
% 27.54/18.09 tff(8346,plain,
% 27.54/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB57, constB58)) | (~v127(constB57, 0)) | v129(constB58, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB57, constB58)) | (~v127(constB57, 0)) | v129(constB58, 0))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8347,plain,
% 27.54/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB57, constB58)) | (~v127(constB57, 0)) | v129(constB58, 0))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8348,plain,
% 27.54/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB57, constB58)) | (~v127(constB57, 0)) | v129(constB58, 0)),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8347, 8346])).
% 27.54/18.09 tff(8349,plain,
% 27.54/18.09 ((~v127(constB57, 0)) | v129(constB58, 0)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8348, 627, 8188])).
% 27.54/18.09 tff(8350,plain,
% 27.54/18.09 (v129(constB58, 0)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8349, 8345])).
% 27.54/18.09 tff(8351,plain,
% 27.54/18.09 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB58, 0) | (~v129(constB58, 0)) | (~v100(constB58)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB58, 0) | (~v129(constB58, 0)) | (~v100(constB58)))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8352,plain,
% 27.54/18.09 ((v90(constB58, 0) | (~v100(constB58)) | (~v129(constB58, 0))) <=> (v90(constB58, 0) | (~v129(constB58, 0)) | (~v100(constB58)))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8353,plain,
% 27.54/18.09 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB58, 0) | (~v100(constB58)) | (~v129(constB58, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB58, 0) | (~v129(constB58, 0)) | (~v100(constB58))))),
% 27.54/18.09 inference(monotonicity,[status(thm)],[8352])).
% 27.54/18.09 tff(8354,plain,
% 27.54/18.09 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB58, 0) | (~v100(constB58)) | (~v129(constB58, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB58, 0) | (~v129(constB58, 0)) | (~v100(constB58)))),
% 27.54/18.09 inference(transitivity,[status(thm)],[8353, 8351])).
% 27.54/18.09 tff(8355,plain,
% 27.54/18.09 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB58, 0) | (~v100(constB58)) | (~v129(constB58, 0)))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8356,plain,
% 27.54/18.09 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB58, 0) | (~v129(constB58, 0)) | (~v100(constB58))),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8355, 8354])).
% 27.54/18.09 tff(8357,plain,
% 27.54/18.09 (v90(constB58, 0) | (~v100(constB58))),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8356, 642, 8350])).
% 27.54/18.09 tff(8358,plain,
% 27.54/18.09 (v90(constB58, 0)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8357, 8222])).
% 27.54/18.09 tff(8359,plain,
% 27.54/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB58, 0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB58, 0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 0))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8360,plain,
% 27.54/18.09 (((~nextState(constB58, constB59)) | (~v90(constB58, 0)) | v100(constB59) | v90(constB59, 0)) <=> ((~v90(constB58, 0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 0))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8361,plain,
% 27.54/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB58, constB59)) | (~v90(constB58, 0)) | v100(constB59) | v90(constB59, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB58, 0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 0)))),
% 27.54/18.09 inference(monotonicity,[status(thm)],[8360])).
% 27.54/18.09 tff(8362,plain,
% 27.54/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB58, constB59)) | (~v90(constB58, 0)) | v100(constB59) | v90(constB59, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB58, 0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 0))),
% 27.54/18.09 inference(transitivity,[status(thm)],[8361, 8359])).
% 27.54/18.09 tff(8363,plain,
% 27.54/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB58, constB59)) | (~v90(constB58, 0)) | v100(constB59) | v90(constB59, 0))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8364,plain,
% 27.54/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB58, 0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 0)),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8363, 8362])).
% 27.54/18.09 tff(8365,plain,
% 27.54/18.09 ((~v90(constB58, 0)) | v100(constB59) | v90(constB59, 0)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8364, 660, 8250])).
% 27.54/18.09 tff(8366,plain,
% 27.54/18.09 ((~v90(constB58, 0)) | v90(constB59, 0)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8365, 8262])).
% 27.54/18.09 tff(8367,plain,
% 27.54/18.09 (v90(constB59, 0)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8366, 8358])).
% 27.54/18.09 tff(8368,plain,
% 27.54/18.09 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB59, 0)) | v90(constB59, 1) | (~v90(constB59, 2)) | v124(constB59))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB59, 0)) | v90(constB59, 1) | (~v90(constB59, 2)) | v124(constB59))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8369,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB59, 0)) | v90(constB59, 1) | (~v90(constB59, 2)) | v124(constB59))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8370,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB59, 0)) | v90(constB59, 1) | (~v90(constB59, 2)) | v124(constB59)),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8369, 8368])).
% 27.54/18.09 tff(8371,plain,
% 27.54/18.09 (v124(constB59)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8370, 1794, 8367, 8305, 8271])).
% 27.54/18.09 tff(8372,plain,
% 27.54/18.09 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB59)) | v114(constB59))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB59)) | v114(constB59))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8373,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB59)) | v114(constB59))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8374,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB59)) | v114(constB59)),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8373, 8372])).
% 27.54/18.09 tff(8375,plain,
% 27.54/18.09 (v114(constB59)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8374, 1805, 8371])).
% 27.54/18.09 tff(8376,plain,
% 27.54/18.09 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB59) | (~v114(constB59)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB59) | (~v114(constB59)))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8377,plain,
% 27.54/18.09 (((~v114(constB59)) | v113(constB59)) <=> (v113(constB59) | (~v114(constB59)))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8378,plain,
% 27.54/18.09 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB59)) | v113(constB59))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB59) | (~v114(constB59))))),
% 27.54/18.09 inference(monotonicity,[status(thm)],[8377])).
% 27.54/18.09 tff(8379,plain,
% 27.54/18.09 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB59)) | v113(constB59))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB59) | (~v114(constB59)))),
% 27.54/18.09 inference(transitivity,[status(thm)],[8378, 8376])).
% 27.54/18.09 tff(8380,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB59)) | v113(constB59))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8381,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB59) | (~v114(constB59))),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8380, 8379])).
% 27.54/18.09 tff(8382,plain,
% 27.54/18.09 (v113(constB59)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8381, 314, 8375])).
% 27.54/18.09 tff(8383,assumption,(v26(constB59)), introduced(assumption)).
% 27.54/18.09 tff(8384,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB59))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8385,plain,
% 27.54/18.09 ($false),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8384, 95, 8383])).
% 27.54/18.09 tff(8386,plain,(~v26(constB59)), inference(lemma,lemma(discharge,[]))).
% 27.54/18.09 tff(8387,plain,
% 27.54/18.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | (~v113(constB59)) | v112(constB59))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8388,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8389,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | (~v113(constB59)) | v112(constB59)),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8388, 8387])).
% 27.54/18.09 tff(8390,plain,
% 27.54/18.09 ((~v113(constB59)) | v112(constB59)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8389, 328, 8386])).
% 27.54/18.09 tff(8391,plain,
% 27.54/18.09 (v112(constB59)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8390, 8382])).
% 27.54/18.09 tff(8392,plain,
% 27.54/18.09 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB59) | (~v112(constB59)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v112(constB59)))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8393,plain,
% 27.54/18.09 (((~v112(constB59)) | v108(constB59)) <=> (v108(constB59) | (~v112(constB59)))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8394,plain,
% 27.54/18.09 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB59)) | v108(constB59))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB59) | (~v112(constB59))))),
% 27.54/18.09 inference(monotonicity,[status(thm)],[8393])).
% 27.54/18.09 tff(8395,plain,
% 27.54/18.09 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB59)) | v108(constB59))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v112(constB59)))),
% 27.54/18.09 inference(transitivity,[status(thm)],[8394, 8392])).
% 27.54/18.09 tff(8396,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB59)) | v108(constB59))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8397,plain,
% 27.54/18.09 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v112(constB59))),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8396, 8395])).
% 27.54/18.09 tff(8398,plain,
% 27.54/18.09 (v108(constB59)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8397, 340, 8391])).
% 27.54/18.09 tff(8399,plain,
% 27.54/18.09 (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8400,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_59_1')).
% 27.54/18.09 tff(8401,plain,
% 27.54/18.09 (nextState(constB59, constB60)),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8400, 8399])).
% 27.54/18.09 tff(8402,plain,
% 27.54/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8403,plain,
% 27.54/18.09 (((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60)) <=> ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8404,plain,
% 27.54/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59))))),
% 27.54/18.09 inference(monotonicity,[status(thm)],[8403])).
% 27.54/18.09 tff(8405,plain,
% 27.54/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 27.54/18.09 inference(transitivity,[status(thm)],[8404, 8402])).
% 27.54/18.09 tff(8406,plain,
% 27.54/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8407,plain,
% 27.54/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59))),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8406, 8405])).
% 27.54/18.09 tff(8408,plain,
% 27.54/18.09 (v110(constB60) | (~v108(constB59))),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8407, 360, 8401])).
% 27.54/18.09 tff(8409,plain,
% 27.54/18.09 (v110(constB60)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8408, 8398])).
% 27.54/18.09 tff(8410,plain,
% 27.54/18.09 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8411,plain,
% 27.54/18.09 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8412,plain,
% 27.54/18.09 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60))),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8411, 8410])).
% 27.54/18.09 tff(8413,plain,
% 27.54/18.09 (~v104(constB60)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8412, 378, 8401, 8247])).
% 27.54/18.09 tff(8414,plain,
% 27.54/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8415,plain,
% 27.54/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8416,plain,
% 27.54/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB59, constB60)) | v102(constB60) | v104(constB60)),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8415, 8414])).
% 27.54/18.09 tff(8417,plain,
% 27.54/18.09 (v102(constB60) | v104(constB60)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8416, 392, 8401])).
% 27.54/18.09 tff(8418,plain,
% 27.54/18.09 (v102(constB60)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8417, 8413])).
% 27.54/18.09 tff(8419,plain,
% 27.54/18.09 (v1(constB60) <=> v1(constB60)),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8420,axiom,(v1(constB60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_60_1')).
% 27.54/18.09 tff(8421,plain,
% 27.54/18.09 (v1(constB60)),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8420, 8419])).
% 27.54/18.09 tff(8422,plain,
% 27.54/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8423,plain,
% 27.54/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8424,plain,
% 27.54/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60))),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8423, 8422])).
% 27.54/18.09 tff(8425,plain,
% 27.54/18.09 (v101(constB60) | (~v102(constB60))),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8424, 410, 8401, 8421])).
% 27.54/18.09 tff(8426,plain,
% 27.54/18.09 (v101(constB60)),
% 27.54/18.09 inference(unit_resolution,[status(thm)],[8425, 8418])).
% 27.54/18.09 tff(8427,plain,
% 27.54/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8428,plain,
% 27.54/18.09 (((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60)) <=> ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 27.54/18.09 inference(rewrite,[status(thm)],[])).
% 27.54/18.09 tff(8429,plain,
% 27.54/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60))))),
% 27.54/18.09 inference(monotonicity,[status(thm)],[8428])).
% 27.54/18.09 tff(8430,plain,
% 27.54/18.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 27.54/18.09 inference(transitivity,[status(thm)],[8429, 8427])).
% 27.54/18.09 tff(8431,plain,
% 27.54/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))),
% 27.54/18.09 inference(quant_inst,[status(thm)],[])).
% 27.54/18.09 tff(8432,plain,
% 27.54/18.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60))),
% 27.54/18.09 inference(modus_ponens,[status(thm)],[8431, 8430])).
% 27.54/18.09 tff(8433,plain,
% 27.54/18.09 (v100(constB60) | (~v101(constB60)) | (~v110(constB60))),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8432, 425, 8401])).
% 27.54/18.10 tff(8434,plain,
% 27.54/18.10 (v100(constB60) | (~v110(constB60))),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8433, 8426])).
% 27.54/18.10 tff(8435,plain,
% 27.54/18.10 (v100(constB60)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8434, 8409])).
% 27.54/18.10 tff(8436,plain,
% 27.54/18.10 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB59)) | v130(constB59, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB59)) | v130(constB59, 2))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8437,plain,
% 27.54/18.10 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB59)) | v130(constB59, 2))),
% 27.54/18.10 inference(quant_inst,[status(thm)],[])).
% 27.54/18.10 tff(8438,plain,
% 27.54/18.10 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB59)) | v130(constB59, 2)),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8437, 8436])).
% 27.54/18.10 tff(8439,plain,
% 27.54/18.10 (v130(constB59, 2)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8438, 1873, 8371])).
% 27.54/18.10 tff(8440,plain,
% 27.54/18.10 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB59) | (~v130(constB59, 2)) | v127(constB59, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB59) | (~v130(constB59, 2)) | v127(constB59, 2))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8441,plain,
% 27.54/18.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB59) | (~v130(constB59, 2)) | v127(constB59, 2))),
% 27.54/18.10 inference(quant_inst,[status(thm)],[])).
% 27.54/18.10 tff(8442,plain,
% 27.54/18.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB59) | (~v130(constB59, 2)) | v127(constB59, 2)),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8441, 8440])).
% 27.54/18.10 tff(8443,plain,
% 27.54/18.10 ((~v130(constB59, 2)) | v127(constB59, 2)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8442, 1498, 8386])).
% 27.54/18.10 tff(8444,plain,
% 27.54/18.10 (v127(constB59, 2)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8443, 8439])).
% 27.54/18.10 tff(8445,plain,
% 27.54/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB59, constB60)) | (~v127(constB59, 2)) | v129(constB60, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB59, constB60)) | (~v127(constB59, 2)) | v129(constB60, 2))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8446,plain,
% 27.54/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB59, constB60)) | (~v127(constB59, 2)) | v129(constB60, 2))),
% 27.54/18.10 inference(quant_inst,[status(thm)],[])).
% 27.54/18.10 tff(8447,plain,
% 27.54/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB59, constB60)) | (~v127(constB59, 2)) | v129(constB60, 2)),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8446, 8445])).
% 27.54/18.10 tff(8448,plain,
% 27.54/18.10 ((~v127(constB59, 2)) | v129(constB60, 2)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8447, 1513, 8401])).
% 27.54/18.10 tff(8449,plain,
% 27.54/18.10 (v129(constB60, 2)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8448, 8444])).
% 27.54/18.10 tff(8450,plain,
% 27.54/18.10 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB60, 2) | (~v129(constB60, 2)) | (~v100(constB60)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB60, 2) | (~v129(constB60, 2)) | (~v100(constB60)))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8451,plain,
% 27.54/18.10 ((v90(constB60, 2) | (~v100(constB60)) | (~v129(constB60, 2))) <=> (v90(constB60, 2) | (~v129(constB60, 2)) | (~v100(constB60)))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8452,plain,
% 27.54/18.10 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB60, 2) | (~v100(constB60)) | (~v129(constB60, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB60, 2) | (~v129(constB60, 2)) | (~v100(constB60))))),
% 27.54/18.10 inference(monotonicity,[status(thm)],[8451])).
% 27.54/18.10 tff(8453,plain,
% 27.54/18.10 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB60, 2) | (~v100(constB60)) | (~v129(constB60, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB60, 2) | (~v129(constB60, 2)) | (~v100(constB60)))),
% 27.54/18.10 inference(transitivity,[status(thm)],[8452, 8450])).
% 27.54/18.10 tff(8454,plain,
% 27.54/18.10 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB60, 2) | (~v100(constB60)) | (~v129(constB60, 2)))),
% 27.54/18.10 inference(quant_inst,[status(thm)],[])).
% 27.54/18.10 tff(8455,plain,
% 27.54/18.10 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB60, 2) | (~v129(constB60, 2)) | (~v100(constB60))),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8454, 8453])).
% 27.54/18.10 tff(8456,plain,
% 27.54/18.10 (v90(constB60, 2) | (~v100(constB60))),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8455, 1528, 8449])).
% 27.54/18.10 tff(8457,plain,
% 27.54/18.10 (v90(constB60, 2)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8456, 8435])).
% 27.54/18.10 tff(8458,plain,
% 27.54/18.10 ((~v1(constB61)) <=> (~v1(constB61))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8459,axiom,(~v1(constB61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_61_1_1')).
% 27.54/18.10 tff(8460,plain,
% 27.54/18.10 (~v1(constB61)),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8459, 8458])).
% 27.54/18.10 tff(8461,plain,
% 27.54/18.10 (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8462,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_60_1')).
% 27.54/18.10 tff(8463,plain,
% 27.54/18.10 (nextState(constB60, constB61)),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8462, 8461])).
% 27.54/18.10 tff(8464,plain,
% 27.54/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8465,plain,
% 27.54/18.10 (((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61)) <=> (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8466,plain,
% 27.54/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61))))),
% 27.54/18.10 inference(monotonicity,[status(thm)],[8465])).
% 27.54/18.10 tff(8467,plain,
% 27.54/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 27.54/18.10 inference(transitivity,[status(thm)],[8466, 8464])).
% 27.54/18.10 tff(8468,plain,
% 27.54/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))),
% 27.54/18.10 inference(quant_inst,[status(thm)],[])).
% 27.54/18.10 tff(8469,plain,
% 27.54/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61))),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8468, 8467])).
% 27.54/18.10 tff(8470,plain,
% 27.54/18.10 (~v101(constB61)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8469, 138, 8463, 8460])).
% 27.54/18.10 tff(8471,plain,
% 27.54/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8472,plain,
% 27.54/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))),
% 27.54/18.10 inference(quant_inst,[status(thm)],[])).
% 27.54/18.10 tff(8473,plain,
% 27.54/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61))),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8472, 8471])).
% 27.54/18.10 tff(8474,plain,
% 27.54/18.10 (v101(constB61) | (~v100(constB61))),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8473, 155, 8463])).
% 27.54/18.10 tff(8475,plain,
% 27.54/18.10 (~v100(constB61)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8474, 8470])).
% 27.54/18.10 tff(8476,plain,
% 27.54/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB60, 2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB60, 2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 2))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8477,plain,
% 27.54/18.10 (((~nextState(constB60, constB61)) | (~v90(constB60, 2)) | v100(constB61) | v90(constB61, 2)) <=> ((~v90(constB60, 2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 2))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8478,plain,
% 27.54/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB60, constB61)) | (~v90(constB60, 2)) | v100(constB61) | v90(constB61, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB60, 2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 2)))),
% 27.54/18.10 inference(monotonicity,[status(thm)],[8477])).
% 27.54/18.10 tff(8479,plain,
% 27.54/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB60, constB61)) | (~v90(constB60, 2)) | v100(constB61) | v90(constB61, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB60, 2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 2))),
% 27.54/18.10 inference(transitivity,[status(thm)],[8478, 8476])).
% 27.54/18.10 tff(8480,plain,
% 27.54/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB60, constB61)) | (~v90(constB60, 2)) | v100(constB61) | v90(constB61, 2))),
% 27.54/18.10 inference(quant_inst,[status(thm)],[])).
% 27.54/18.10 tff(8481,plain,
% 27.54/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB60, 2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 2)),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8480, 8479])).
% 27.54/18.10 tff(8482,plain,
% 27.54/18.10 ((~v90(constB60, 2)) | v100(constB61) | v90(constB61, 2)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8481, 1546, 8463])).
% 27.54/18.10 tff(8483,plain,
% 27.54/18.10 ((~v90(constB60, 2)) | v90(constB61, 2)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8482, 8475])).
% 27.54/18.10 tff(8484,plain,
% 27.54/18.10 (v90(constB61, 2)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8483, 8457])).
% 27.54/18.10 tff(8485,plain,
% 27.54/18.10 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB59)) | v130(constB59, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB59)) | v130(constB59, 1))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8486,plain,
% 27.54/18.10 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB59)) | v130(constB59, 1))),
% 27.54/18.10 inference(quant_inst,[status(thm)],[])).
% 27.54/18.10 tff(8487,plain,
% 27.54/18.10 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB59)) | v130(constB59, 1)),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8486, 8485])).
% 27.54/18.10 tff(8488,plain,
% 27.54/18.10 (v130(constB59, 1)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8487, 1929, 8371])).
% 27.54/18.10 tff(8489,plain,
% 27.54/18.10 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB59) | (~v130(constB59, 1)) | v127(constB59, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB59) | (~v130(constB59, 1)) | v127(constB59, 1))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8490,plain,
% 27.54/18.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB59) | (~v130(constB59, 1)) | v127(constB59, 1))),
% 27.54/18.10 inference(quant_inst,[status(thm)],[])).
% 27.54/18.10 tff(8491,plain,
% 27.54/18.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB59) | (~v130(constB59, 1)) | v127(constB59, 1)),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8490, 8489])).
% 27.54/18.10 tff(8492,plain,
% 27.54/18.10 ((~v130(constB59, 1)) | v127(constB59, 1)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8491, 855, 8386])).
% 27.54/18.10 tff(8493,plain,
% 27.54/18.10 (v127(constB59, 1)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8492, 8488])).
% 27.54/18.10 tff(8494,plain,
% 27.54/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB59, constB60)) | (~v127(constB59, 1)) | v129(constB60, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB59, constB60)) | (~v127(constB59, 1)) | v129(constB60, 1))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8495,plain,
% 27.54/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB59, constB60)) | (~v127(constB59, 1)) | v129(constB60, 1))),
% 27.54/18.10 inference(quant_inst,[status(thm)],[])).
% 27.54/18.10 tff(8496,plain,
% 27.54/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB59, constB60)) | (~v127(constB59, 1)) | v129(constB60, 1)),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8495, 8494])).
% 27.54/18.10 tff(8497,plain,
% 27.54/18.10 ((~v127(constB59, 1)) | v129(constB60, 1)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8496, 870, 8401])).
% 27.54/18.10 tff(8498,plain,
% 27.54/18.10 (v129(constB60, 1)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8497, 8493])).
% 27.54/18.10 tff(8499,plain,
% 27.54/18.10 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB60, 1) | (~v129(constB60, 1)) | (~v100(constB60)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB60, 1) | (~v129(constB60, 1)) | (~v100(constB60)))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8500,plain,
% 27.54/18.10 ((v90(constB60, 1) | (~v100(constB60)) | (~v129(constB60, 1))) <=> (v90(constB60, 1) | (~v129(constB60, 1)) | (~v100(constB60)))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8501,plain,
% 27.54/18.10 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB60, 1) | (~v100(constB60)) | (~v129(constB60, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB60, 1) | (~v129(constB60, 1)) | (~v100(constB60))))),
% 27.54/18.10 inference(monotonicity,[status(thm)],[8500])).
% 27.54/18.10 tff(8502,plain,
% 27.54/18.10 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB60, 1) | (~v100(constB60)) | (~v129(constB60, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB60, 1) | (~v129(constB60, 1)) | (~v100(constB60)))),
% 27.54/18.10 inference(transitivity,[status(thm)],[8501, 8499])).
% 27.54/18.10 tff(8503,plain,
% 27.54/18.10 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB60, 1) | (~v100(constB60)) | (~v129(constB60, 1)))),
% 27.54/18.10 inference(quant_inst,[status(thm)],[])).
% 27.54/18.10 tff(8504,plain,
% 27.54/18.10 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB60, 1) | (~v129(constB60, 1)) | (~v100(constB60))),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8503, 8502])).
% 27.54/18.10 tff(8505,plain,
% 27.54/18.10 (v90(constB60, 1) | (~v100(constB60))),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8504, 885, 8498])).
% 27.54/18.10 tff(8506,plain,
% 27.54/18.10 (v90(constB60, 1)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8505, 8435])).
% 27.54/18.10 tff(8507,plain,
% 27.54/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB60, 1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB60, 1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 1))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8508,plain,
% 27.54/18.10 (((~nextState(constB60, constB61)) | (~v90(constB60, 1)) | v100(constB61) | v90(constB61, 1)) <=> ((~v90(constB60, 1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 1))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8509,plain,
% 27.54/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, 1)) | v100(constB61) | v90(constB61, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB60, 1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 1)))),
% 27.54/18.10 inference(monotonicity,[status(thm)],[8508])).
% 27.54/18.10 tff(8510,plain,
% 27.54/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, 1)) | v100(constB61) | v90(constB61, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB60, 1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 1))),
% 27.54/18.10 inference(transitivity,[status(thm)],[8509, 8507])).
% 27.54/18.10 tff(8511,plain,
% 27.54/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, 1)) | v100(constB61) | v90(constB61, 1))),
% 27.54/18.10 inference(quant_inst,[status(thm)],[])).
% 27.54/18.10 tff(8512,plain,
% 27.54/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB60, 1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 1)),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8511, 8510])).
% 27.54/18.10 tff(8513,plain,
% 27.54/18.10 ((~v90(constB60, 1)) | v100(constB61) | v90(constB61, 1)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8512, 903, 8463])).
% 27.54/18.10 tff(8514,plain,
% 27.54/18.10 ((~v90(constB60, 1)) | v90(constB61, 1)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8513, 8475])).
% 27.54/18.10 tff(8515,plain,
% 27.54/18.10 (v90(constB61, 1)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8514, 8506])).
% 27.54/18.10 tff(8516,plain,
% 27.54/18.10 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB59)) | (~v130(constB59, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB59)) | (~v130(constB59, 0)))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8517,plain,
% 27.54/18.10 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB59)) | (~v130(constB59, 0)))),
% 27.54/18.10 inference(quant_inst,[status(thm)],[])).
% 27.54/18.10 tff(8518,plain,
% 27.54/18.10 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB59)) | (~v130(constB59, 0))),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8517, 8516])).
% 27.54/18.10 tff(8519,plain,
% 27.54/18.10 (~v130(constB59, 0)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8518, 1967, 8371])).
% 27.54/18.10 tff(8520,plain,
% 27.54/18.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB59, 0)) | v26(constB59) | v130(constB59, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB59, 0)) | v26(constB59) | v130(constB59, 0))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8521,plain,
% 27.54/18.10 ((v26(constB59) | v130(constB59, 0) | (~v127(constB59, 0))) <=> ((~v127(constB59, 0)) | v26(constB59) | v130(constB59, 0))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8522,plain,
% 27.54/18.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB59) | v130(constB59, 0) | (~v127(constB59, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB59, 0)) | v26(constB59) | v130(constB59, 0)))),
% 27.54/18.10 inference(monotonicity,[status(thm)],[8521])).
% 27.54/18.10 tff(8523,plain,
% 27.54/18.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB59) | v130(constB59, 0) | (~v127(constB59, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB59, 0)) | v26(constB59) | v130(constB59, 0))),
% 27.54/18.10 inference(transitivity,[status(thm)],[8522, 8520])).
% 27.54/18.10 tff(8524,plain,
% 27.54/18.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB59) | v130(constB59, 0) | (~v127(constB59, 0)))),
% 27.54/18.10 inference(quant_inst,[status(thm)],[])).
% 27.54/18.10 tff(8525,plain,
% 27.54/18.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB59, 0)) | v26(constB59) | v130(constB59, 0)),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8524, 8523])).
% 27.54/18.10 tff(8526,plain,
% 27.54/18.10 ((~v127(constB59, 0)) | v130(constB59, 0)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8525, 933, 8386])).
% 27.54/18.10 tff(8527,plain,
% 27.54/18.10 (~v127(constB59, 0)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8526, 8519])).
% 27.54/18.10 tff(8528,plain,
% 27.54/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB59, constB60)) | v127(constB59, 0) | (~v129(constB60, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB59, constB60)) | v127(constB59, 0) | (~v129(constB60, 0)))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8529,plain,
% 27.54/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB59, constB60)) | v127(constB59, 0) | (~v129(constB60, 0)))),
% 27.54/18.10 inference(quant_inst,[status(thm)],[])).
% 27.54/18.10 tff(8530,plain,
% 27.54/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB59, constB60)) | v127(constB59, 0) | (~v129(constB60, 0))),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8529, 8528])).
% 27.54/18.10 tff(8531,plain,
% 27.54/18.10 (v127(constB59, 0) | (~v129(constB60, 0))),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8530, 951, 8401])).
% 27.54/18.10 tff(8532,plain,
% 27.54/18.10 (~v129(constB60, 0)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8531, 8527])).
% 27.54/18.10 tff(8533,plain,
% 27.54/18.10 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB60, 0)) | v129(constB60, 0) | (~v100(constB60)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB60, 0)) | v129(constB60, 0) | (~v100(constB60)))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8534,plain,
% 27.54/18.10 (((~v90(constB60, 0)) | (~v100(constB60)) | v129(constB60, 0)) <=> ((~v90(constB60, 0)) | v129(constB60, 0) | (~v100(constB60)))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8535,plain,
% 27.54/18.10 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB60, 0)) | (~v100(constB60)) | v129(constB60, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB60, 0)) | v129(constB60, 0) | (~v100(constB60))))),
% 27.54/18.10 inference(monotonicity,[status(thm)],[8534])).
% 27.54/18.10 tff(8536,plain,
% 27.54/18.10 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB60, 0)) | (~v100(constB60)) | v129(constB60, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB60, 0)) | v129(constB60, 0) | (~v100(constB60)))),
% 27.54/18.10 inference(transitivity,[status(thm)],[8535, 8533])).
% 27.54/18.10 tff(8537,plain,
% 27.54/18.10 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB60, 0)) | (~v100(constB60)) | v129(constB60, 0))),
% 27.54/18.10 inference(quant_inst,[status(thm)],[])).
% 27.54/18.10 tff(8538,plain,
% 27.54/18.10 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB60, 0)) | v129(constB60, 0) | (~v100(constB60))),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8537, 8536])).
% 27.54/18.10 tff(8539,plain,
% 27.54/18.10 ((~v90(constB60, 0)) | (~v100(constB60))),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8538, 966, 8532])).
% 27.54/18.10 tff(8540,plain,
% 27.54/18.10 (~v90(constB60, 0)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8539, 8435])).
% 27.54/18.10 tff(8541,plain,
% 27.54/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB60, 0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB60, 0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, 0)))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8542,plain,
% 27.54/18.10 (((~nextState(constB60, constB61)) | v90(constB60, 0) | v100(constB61) | (~v90(constB61, 0))) <=> (v90(constB60, 0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, 0)))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8543,plain,
% 27.54/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB60, constB61)) | v90(constB60, 0) | v100(constB61) | (~v90(constB61, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB60, 0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, 0))))),
% 27.54/18.10 inference(monotonicity,[status(thm)],[8542])).
% 27.54/18.10 tff(8544,plain,
% 27.54/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB60, constB61)) | v90(constB60, 0) | v100(constB61) | (~v90(constB61, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB60, 0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, 0)))),
% 27.54/18.10 inference(transitivity,[status(thm)],[8543, 8541])).
% 27.54/18.10 tff(8545,plain,
% 27.54/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB60, constB61)) | v90(constB60, 0) | v100(constB61) | (~v90(constB61, 0)))),
% 27.54/18.10 inference(quant_inst,[status(thm)],[])).
% 27.54/18.10 tff(8546,plain,
% 27.54/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB60, 0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, 0))),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8545, 8544])).
% 27.54/18.10 tff(8547,plain,
% 27.54/18.10 (v90(constB60, 0) | v100(constB61) | (~v90(constB61, 0))),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8546, 212, 8463])).
% 27.54/18.10 tff(8548,plain,
% 27.54/18.10 (v90(constB60, 0) | (~v90(constB61, 0))),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8547, 8475])).
% 27.54/18.10 tff(8549,plain,
% 27.54/18.10 (~v90(constB61, 0)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8548, 8540])).
% 27.54/18.10 tff(8550,plain,
% 27.54/18.10 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB61, 0) | (~v90(constB61, 1)) | (~v90(constB61, 2)) | v125(constB61))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB61, 0) | (~v90(constB61, 1)) | (~v90(constB61, 2)) | v125(constB61))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8551,plain,
% 27.54/18.10 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB61, 0) | (~v90(constB61, 1)) | (~v90(constB61, 2)) | v125(constB61))),
% 27.54/18.10 inference(quant_inst,[status(thm)],[])).
% 27.54/18.10 tff(8552,plain,
% 27.54/18.10 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB61, 0) | (~v90(constB61, 1)) | (~v90(constB61, 2)) | v125(constB61)),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8551, 8550])).
% 27.54/18.10 tff(8553,plain,
% 27.54/18.10 (v125(constB61)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8552, 2011, 8549, 8515, 8484])).
% 27.54/18.10 tff(8554,plain,
% 27.54/18.10 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB61) | (~v125(constB61)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB61) | (~v125(constB61)))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8555,plain,
% 27.54/18.10 (((~v125(constB61)) | v113(constB61)) <=> (v113(constB61) | (~v125(constB61)))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8556,plain,
% 27.54/18.10 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB61)) | v113(constB61))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB61) | (~v125(constB61))))),
% 27.54/18.10 inference(monotonicity,[status(thm)],[8555])).
% 27.54/18.10 tff(8557,plain,
% 27.54/18.10 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB61)) | v113(constB61))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB61) | (~v125(constB61)))),
% 27.54/18.10 inference(transitivity,[status(thm)],[8556, 8554])).
% 27.54/18.10 tff(8558,plain,
% 27.54/18.10 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB61)) | v113(constB61))),
% 27.54/18.10 inference(quant_inst,[status(thm)],[])).
% 27.54/18.10 tff(8559,plain,
% 27.54/18.10 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB61) | (~v125(constB61))),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8558, 8557])).
% 27.54/18.10 tff(8560,plain,
% 27.54/18.10 (v113(constB61)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8559, 2022, 8553])).
% 27.54/18.10 tff(8561,assumption,(v26(constB61)), introduced(assumption)).
% 27.54/18.10 tff(8562,plain,
% 27.54/18.10 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB61))),
% 27.54/18.10 inference(quant_inst,[status(thm)],[])).
% 27.54/18.10 tff(8563,plain,
% 27.54/18.10 ($false),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8562, 95, 8561])).
% 27.54/18.10 tff(8564,plain,(~v26(constB61)), inference(lemma,lemma(discharge,[]))).
% 27.54/18.10 tff(8565,plain,
% 27.54/18.10 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | v112(constB61) | (~v113(constB61)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8566,plain,
% 27.54/18.10 ((v26(constB61) | (~v113(constB61)) | v112(constB61)) <=> (v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8567,plain,
% 27.54/18.10 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | v112(constB61) | (~v113(constB61))))),
% 27.54/18.10 inference(monotonicity,[status(thm)],[8566])).
% 27.54/18.10 tff(8568,plain,
% 27.54/18.10 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 27.54/18.10 inference(transitivity,[status(thm)],[8567, 8565])).
% 27.54/18.10 tff(8569,plain,
% 27.54/18.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))),
% 27.54/18.10 inference(quant_inst,[status(thm)],[])).
% 27.54/18.10 tff(8570,plain,
% 27.54/18.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61))),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8569, 8568])).
% 27.54/18.10 tff(8571,plain,
% 27.54/18.10 (v112(constB61) | (~v113(constB61))),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8570, 328, 8564])).
% 27.54/18.10 tff(8572,plain,
% 27.54/18.10 (v112(constB61)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8571, 8560])).
% 27.54/18.10 tff(8573,plain,
% 27.54/18.10 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB61) | (~v112(constB61)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB61) | (~v112(constB61)))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8574,plain,
% 27.54/18.10 (((~v112(constB61)) | v108(constB61)) <=> (v108(constB61) | (~v112(constB61)))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8575,plain,
% 27.54/18.10 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB61)) | v108(constB61))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB61) | (~v112(constB61))))),
% 27.54/18.10 inference(monotonicity,[status(thm)],[8574])).
% 27.54/18.10 tff(8576,plain,
% 27.54/18.10 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB61)) | v108(constB61))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB61) | (~v112(constB61)))),
% 27.54/18.10 inference(transitivity,[status(thm)],[8575, 8573])).
% 27.54/18.10 tff(8577,plain,
% 27.54/18.10 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB61)) | v108(constB61))),
% 27.54/18.10 inference(quant_inst,[status(thm)],[])).
% 27.54/18.10 tff(8578,plain,
% 27.54/18.10 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB61) | (~v112(constB61))),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8577, 8576])).
% 27.54/18.10 tff(8579,plain,
% 27.54/18.10 (v108(constB61)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8578, 340, 8572])).
% 27.54/18.10 tff(8580,plain,
% 27.54/18.10 (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8581,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_61_1')).
% 27.54/18.10 tff(8582,plain,
% 27.54/18.10 (nextState(constB61, constB62)),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8581, 8580])).
% 27.54/18.10 tff(8583,plain,
% 27.54/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8584,plain,
% 27.54/18.10 (((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62)) <=> ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8585,plain,
% 27.54/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61))))),
% 27.54/18.10 inference(monotonicity,[status(thm)],[8584])).
% 27.54/18.10 tff(8586,plain,
% 27.54/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 27.54/18.10 inference(transitivity,[status(thm)],[8585, 8583])).
% 27.54/18.10 tff(8587,plain,
% 27.54/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))),
% 27.54/18.10 inference(quant_inst,[status(thm)],[])).
% 27.54/18.10 tff(8588,plain,
% 27.54/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61))),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8587, 8586])).
% 27.54/18.10 tff(8589,plain,
% 27.54/18.10 (v110(constB62) | (~v108(constB61))),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8588, 360, 8582])).
% 27.54/18.10 tff(8590,plain,
% 27.54/18.10 (v110(constB62)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8589, 8579])).
% 27.54/18.10 tff(8591,plain,
% 27.54/18.10 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8592,plain,
% 27.54/18.10 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))),
% 27.54/18.10 inference(quant_inst,[status(thm)],[])).
% 27.54/18.10 tff(8593,plain,
% 27.54/18.10 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62))),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8592, 8591])).
% 27.54/18.10 tff(8594,plain,
% 27.54/18.10 (~v104(constB62)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8593, 378, 8582, 8460])).
% 27.54/18.10 tff(8595,plain,
% 27.54/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8596,plain,
% 27.54/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))),
% 27.54/18.10 inference(quant_inst,[status(thm)],[])).
% 27.54/18.10 tff(8597,plain,
% 27.54/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB61, constB62)) | v102(constB62) | v104(constB62)),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8596, 8595])).
% 27.54/18.10 tff(8598,plain,
% 27.54/18.10 (v102(constB62) | v104(constB62)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8597, 392, 8582])).
% 27.54/18.10 tff(8599,plain,
% 27.54/18.10 (v102(constB62)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8598, 8594])).
% 27.54/18.10 tff(8600,plain,
% 27.54/18.10 (v1(constB62) <=> v1(constB62)),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8601,axiom,(v1(constB62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_62_1')).
% 27.54/18.10 tff(8602,plain,
% 27.54/18.10 (v1(constB62)),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8601, 8600])).
% 27.54/18.10 tff(8603,plain,
% 27.54/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8604,plain,
% 27.54/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))),
% 27.54/18.10 inference(quant_inst,[status(thm)],[])).
% 27.54/18.10 tff(8605,plain,
% 27.54/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62))),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8604, 8603])).
% 27.54/18.10 tff(8606,plain,
% 27.54/18.10 (v101(constB62) | (~v102(constB62))),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8605, 410, 8582, 8602])).
% 27.54/18.10 tff(8607,plain,
% 27.54/18.10 (v101(constB62)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8606, 8599])).
% 27.54/18.10 tff(8608,plain,
% 27.54/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8609,plain,
% 27.54/18.10 (((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62)) <=> ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8610,plain,
% 27.54/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62))))),
% 27.54/18.10 inference(monotonicity,[status(thm)],[8609])).
% 27.54/18.10 tff(8611,plain,
% 27.54/18.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 27.54/18.10 inference(transitivity,[status(thm)],[8610, 8608])).
% 27.54/18.10 tff(8612,plain,
% 27.54/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))),
% 27.54/18.10 inference(quant_inst,[status(thm)],[])).
% 27.54/18.10 tff(8613,plain,
% 27.54/18.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62))),
% 27.54/18.10 inference(modus_ponens,[status(thm)],[8612, 8611])).
% 27.54/18.10 tff(8614,plain,
% 27.54/18.10 (v100(constB62) | (~v101(constB62)) | (~v110(constB62))),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8613, 425, 8582])).
% 27.54/18.10 tff(8615,plain,
% 27.54/18.10 (v100(constB62) | (~v110(constB62))),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8614, 8607])).
% 27.54/18.10 tff(8616,plain,
% 27.54/18.10 (v100(constB62)),
% 27.54/18.10 inference(unit_resolution,[status(thm)],[8615, 8590])).
% 27.54/18.10 tff(8617,plain,
% 27.54/18.10 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB61)) | (~v90(constB61, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB61)) | (~v90(constB61, 2)))),
% 27.54/18.10 inference(rewrite,[status(thm)],[])).
% 27.54/18.10 tff(8618,plain,
% 27.54/18.10 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB61)) | (~v90(constB61, 2)))),
% 27.54/18.11 inference(quant_inst,[status(thm)],[])).
% 27.54/18.11 tff(8619,plain,
% 27.54/18.11 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB61)) | (~v90(constB61, 2))),
% 27.54/18.11 inference(modus_ponens,[status(thm)],[8618, 8617])).
% 27.54/18.11 tff(8620,plain,
% 27.54/18.11 (~v121(constB61)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8619, 2130, 8484])).
% 27.54/18.11 tff(8621,plain,
% 27.54/18.11 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB61)) | (~v90(constB61, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB61)) | (~v90(constB61, 1)))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8622,plain,
% 27.54/18.11 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB61)) | (~v90(constB61, 1)))),
% 27.54/18.11 inference(quant_inst,[status(thm)],[])).
% 27.54/18.11 tff(8623,plain,
% 27.54/18.11 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB61)) | (~v90(constB61, 1))),
% 27.54/18.11 inference(modus_ponens,[status(thm)],[8622, 8621])).
% 27.54/18.11 tff(8624,plain,
% 27.54/18.11 (~v119(constB61)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8623, 2086, 8515])).
% 27.54/18.11 tff(8625,plain,
% 27.54/18.11 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB61)) | (~v90(constB61, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB61)) | (~v90(constB61, 1)))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8626,plain,
% 27.54/18.11 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB61)) | (~v90(constB61, 1)))),
% 27.54/18.11 inference(quant_inst,[status(thm)],[])).
% 27.54/18.11 tff(8627,plain,
% 27.54/18.11 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB61)) | (~v90(constB61, 1))),
% 27.54/18.11 inference(modus_ponens,[status(thm)],[8626, 8625])).
% 27.54/18.11 tff(8628,plain,
% 27.54/18.11 (~v123(constB61)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8627, 2108, 8515])).
% 27.54/18.11 tff(8629,plain,
% 27.54/18.11 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB61)) | (~v90(constB61, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB61)) | (~v90(constB61, 1)))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8630,plain,
% 27.54/18.11 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB61)) | (~v90(constB61, 1)))),
% 27.54/18.11 inference(quant_inst,[status(thm)],[])).
% 27.54/18.11 tff(8631,plain,
% 27.54/18.11 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB61)) | (~v90(constB61, 1))),
% 27.54/18.11 inference(modus_ponens,[status(thm)],[8630, 8629])).
% 27.54/18.11 tff(8632,plain,
% 27.54/18.11 (~v124(constB61)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8631, 2097, 8515])).
% 27.54/18.11 tff(8633,plain,
% 27.54/18.11 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB61)) | (~v90(constB61, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB61)) | (~v90(constB61, 2)))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8634,plain,
% 27.54/18.11 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB61)) | (~v90(constB61, 2)))),
% 27.54/18.11 inference(quant_inst,[status(thm)],[])).
% 27.54/18.11 tff(8635,plain,
% 27.54/18.11 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB61)) | (~v90(constB61, 2))),
% 27.54/18.11 inference(modus_ponens,[status(thm)],[8634, 8633])).
% 27.54/18.11 tff(8636,plain,
% 27.54/18.11 (~v122(constB61)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8635, 2119, 8484])).
% 27.54/18.11 tff(8637,plain,
% 27.54/18.11 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB61)) | (~v90(constB61, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB61)) | (~v90(constB61, 1)))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8638,plain,
% 27.54/18.11 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB61)) | (~v90(constB61, 1)))),
% 27.54/18.11 inference(quant_inst,[status(thm)],[])).
% 27.54/18.11 tff(8639,plain,
% 27.54/18.11 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB61)) | (~v90(constB61, 1))),
% 27.54/18.11 inference(modus_ponens,[status(thm)],[8638, 8637])).
% 27.54/18.11 tff(8640,plain,
% 27.54/18.11 (~v120(constB61)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8639, 2141, 8515])).
% 27.54/18.11 tff(8641,plain,
% 27.54/18.11 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 2)))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8642,plain,
% 27.54/18.11 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 2)))),
% 27.54/18.11 inference(quant_inst,[status(thm)],[])).
% 27.54/18.11 tff(8643,plain,
% 27.54/18.11 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 2))),
% 27.54/18.11 inference(modus_ponens,[status(thm)],[8642, 8641])).
% 27.54/18.11 tff(8644,plain,
% 27.54/18.11 (~v130(constB61, 2)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8643, 2155, 8640, 8636, 8632, 8628, 8624, 8620])).
% 27.54/18.11 tff(8645,plain,
% 27.54/18.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB61, 2)) | v26(constB61) | v130(constB61, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB61, 2)) | v26(constB61) | v130(constB61, 2))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8646,plain,
% 27.54/18.11 ((v26(constB61) | v130(constB61, 2) | (~v127(constB61, 2))) <=> ((~v127(constB61, 2)) | v26(constB61) | v130(constB61, 2))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8647,plain,
% 27.54/18.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB61) | v130(constB61, 2) | (~v127(constB61, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB61, 2)) | v26(constB61) | v130(constB61, 2)))),
% 27.54/18.11 inference(monotonicity,[status(thm)],[8646])).
% 27.54/18.11 tff(8648,plain,
% 27.54/18.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB61) | v130(constB61, 2) | (~v127(constB61, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB61, 2)) | v26(constB61) | v130(constB61, 2))),
% 27.54/18.11 inference(transitivity,[status(thm)],[8647, 8645])).
% 27.54/18.11 tff(8649,plain,
% 27.54/18.11 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB61) | v130(constB61, 2) | (~v127(constB61, 2)))),
% 27.54/18.11 inference(quant_inst,[status(thm)],[])).
% 27.54/18.11 tff(8650,plain,
% 27.54/18.11 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB61, 2)) | v26(constB61) | v130(constB61, 2)),
% 27.54/18.11 inference(modus_ponens,[status(thm)],[8649, 8648])).
% 27.54/18.11 tff(8651,plain,
% 27.54/18.11 ((~v127(constB61, 2)) | v130(constB61, 2)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8650, 455, 8564])).
% 27.54/18.11 tff(8652,plain,
% 27.54/18.11 (~v127(constB61, 2)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8651, 8644])).
% 27.54/18.11 tff(8653,plain,
% 27.54/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB61, constB62)) | v127(constB61, 2) | (~v129(constB62, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB61, constB62)) | v127(constB61, 2) | (~v129(constB62, 2)))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8654,plain,
% 27.54/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB61, constB62)) | v127(constB61, 2) | (~v129(constB62, 2)))),
% 27.54/18.11 inference(quant_inst,[status(thm)],[])).
% 27.54/18.11 tff(8655,plain,
% 27.54/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB61, constB62)) | v127(constB61, 2) | (~v129(constB62, 2))),
% 27.54/18.11 inference(modus_ponens,[status(thm)],[8654, 8653])).
% 27.54/18.11 tff(8656,plain,
% 27.54/18.11 (v127(constB61, 2) | (~v129(constB62, 2))),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8655, 473, 8582])).
% 27.54/18.11 tff(8657,plain,
% 27.54/18.11 (~v129(constB62, 2)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8656, 8652])).
% 27.54/18.11 tff(8658,plain,
% 27.54/18.11 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB62, 2)) | v129(constB62, 2) | (~v100(constB62)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB62, 2)) | v129(constB62, 2) | (~v100(constB62)))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8659,plain,
% 27.54/18.11 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB62, 2)) | v129(constB62, 2) | (~v100(constB62)))),
% 27.54/18.11 inference(quant_inst,[status(thm)],[])).
% 27.54/18.11 tff(8660,plain,
% 27.54/18.11 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB62, 2)) | v129(constB62, 2) | (~v100(constB62))),
% 27.54/18.11 inference(modus_ponens,[status(thm)],[8659, 8658])).
% 27.54/18.11 tff(8661,plain,
% 27.54/18.11 ((~v90(constB62, 2)) | (~v100(constB62))),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8660, 488, 8657])).
% 27.54/18.11 tff(8662,plain,
% 27.54/18.11 (~v90(constB62, 2)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8661, 8616])).
% 27.54/18.11 tff(8663,plain,
% 27.54/18.11 ((~v1(constB63)) <=> (~v1(constB63))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8664,axiom,(~v1(constB63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_63_1_1')).
% 27.54/18.11 tff(8665,plain,
% 27.54/18.11 (~v1(constB63)),
% 27.54/18.11 inference(modus_ponens,[status(thm)],[8664, 8663])).
% 27.54/18.11 tff(8666,plain,
% 27.54/18.11 (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8667,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_62_1')).
% 27.54/18.11 tff(8668,plain,
% 27.54/18.11 (nextState(constB62, constB63)),
% 27.54/18.11 inference(modus_ponens,[status(thm)],[8667, 8666])).
% 27.54/18.11 tff(8669,plain,
% 27.54/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8670,plain,
% 27.54/18.11 (((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63)) <=> (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8671,plain,
% 27.54/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63))))),
% 27.54/18.11 inference(monotonicity,[status(thm)],[8670])).
% 27.54/18.11 tff(8672,plain,
% 27.54/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 27.54/18.11 inference(transitivity,[status(thm)],[8671, 8669])).
% 27.54/18.11 tff(8673,plain,
% 27.54/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))),
% 27.54/18.11 inference(quant_inst,[status(thm)],[])).
% 27.54/18.11 tff(8674,plain,
% 27.54/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63))),
% 27.54/18.11 inference(modus_ponens,[status(thm)],[8673, 8672])).
% 27.54/18.11 tff(8675,plain,
% 27.54/18.11 (~v101(constB63)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8674, 138, 8668, 8665])).
% 27.54/18.11 tff(8676,plain,
% 27.54/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8677,plain,
% 27.54/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))),
% 27.54/18.11 inference(quant_inst,[status(thm)],[])).
% 27.54/18.11 tff(8678,plain,
% 27.54/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63))),
% 27.54/18.11 inference(modus_ponens,[status(thm)],[8677, 8676])).
% 27.54/18.11 tff(8679,plain,
% 27.54/18.11 (v101(constB63) | (~v100(constB63))),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8678, 155, 8668])).
% 27.54/18.11 tff(8680,plain,
% 27.54/18.11 (~v100(constB63)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8679, 8675])).
% 27.54/18.11 tff(8681,plain,
% 27.54/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB62, 2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB62, 2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 2)))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8682,plain,
% 27.54/18.11 (((~nextState(constB62, constB63)) | v90(constB62, 2) | v100(constB63) | (~v90(constB63, 2))) <=> (v90(constB62, 2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 2)))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8683,plain,
% 27.54/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB62, constB63)) | v90(constB62, 2) | v100(constB63) | (~v90(constB63, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB62, 2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 2))))),
% 27.54/18.11 inference(monotonicity,[status(thm)],[8682])).
% 27.54/18.11 tff(8684,plain,
% 27.54/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB62, constB63)) | v90(constB62, 2) | v100(constB63) | (~v90(constB63, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB62, 2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 2)))),
% 27.54/18.11 inference(transitivity,[status(thm)],[8683, 8681])).
% 27.54/18.11 tff(8685,plain,
% 27.54/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB62, constB63)) | v90(constB62, 2) | v100(constB63) | (~v90(constB63, 2)))),
% 27.54/18.11 inference(quant_inst,[status(thm)],[])).
% 27.54/18.11 tff(8686,plain,
% 27.54/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB62, 2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 2))),
% 27.54/18.11 inference(modus_ponens,[status(thm)],[8685, 8684])).
% 27.54/18.11 tff(8687,plain,
% 27.54/18.11 (v90(constB62, 2) | v100(constB63) | (~v90(constB63, 2))),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8686, 170, 8668])).
% 27.54/18.11 tff(8688,plain,
% 27.54/18.11 (v90(constB62, 2) | (~v90(constB63, 2))),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8687, 8680])).
% 27.54/18.11 tff(8689,plain,
% 27.54/18.11 (~v90(constB63, 2)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8688, 8662])).
% 27.54/18.11 tff(8690,plain,
% 27.54/18.11 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 1)))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8691,plain,
% 27.54/18.11 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 1)))),
% 27.54/18.11 inference(quant_inst,[status(thm)],[])).
% 27.54/18.11 tff(8692,plain,
% 27.54/18.11 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 1))),
% 27.54/18.11 inference(modus_ponens,[status(thm)],[8691, 8690])).
% 27.54/18.11 tff(8693,plain,
% 27.54/18.11 (~v130(constB61, 1)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8692, 2214, 8640, 8636, 8632, 8628, 8624, 8620])).
% 27.54/18.11 tff(8694,plain,
% 27.54/18.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB61, 1)) | v26(constB61) | v130(constB61, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB61, 1)) | v26(constB61) | v130(constB61, 1))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8695,plain,
% 27.54/18.11 ((v26(constB61) | v130(constB61, 1) | (~v127(constB61, 1))) <=> ((~v127(constB61, 1)) | v26(constB61) | v130(constB61, 1))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8696,plain,
% 27.54/18.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB61) | v130(constB61, 1) | (~v127(constB61, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB61, 1)) | v26(constB61) | v130(constB61, 1)))),
% 27.54/18.11 inference(monotonicity,[status(thm)],[8695])).
% 27.54/18.11 tff(8697,plain,
% 27.54/18.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB61) | v130(constB61, 1) | (~v127(constB61, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB61, 1)) | v26(constB61) | v130(constB61, 1))),
% 27.54/18.11 inference(transitivity,[status(thm)],[8696, 8694])).
% 27.54/18.11 tff(8698,plain,
% 27.54/18.11 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB61) | v130(constB61, 1) | (~v127(constB61, 1)))),
% 27.54/18.11 inference(quant_inst,[status(thm)],[])).
% 27.54/18.11 tff(8699,plain,
% 27.54/18.11 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB61, 1)) | v26(constB61) | v130(constB61, 1)),
% 27.54/18.11 inference(modus_ponens,[status(thm)],[8698, 8697])).
% 27.54/18.11 tff(8700,plain,
% 27.54/18.11 ((~v127(constB61, 1)) | v130(constB61, 1)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8699, 541, 8564])).
% 27.54/18.11 tff(8701,plain,
% 27.54/18.11 (~v127(constB61, 1)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8700, 8693])).
% 27.54/18.11 tff(8702,plain,
% 27.54/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB61, constB62)) | v127(constB61, 1) | (~v129(constB62, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB61, constB62)) | v127(constB61, 1) | (~v129(constB62, 1)))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8703,plain,
% 27.54/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB61, constB62)) | v127(constB61, 1) | (~v129(constB62, 1)))),
% 27.54/18.11 inference(quant_inst,[status(thm)],[])).
% 27.54/18.11 tff(8704,plain,
% 27.54/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB61, constB62)) | v127(constB61, 1) | (~v129(constB62, 1))),
% 27.54/18.11 inference(modus_ponens,[status(thm)],[8703, 8702])).
% 27.54/18.11 tff(8705,plain,
% 27.54/18.11 (v127(constB61, 1) | (~v129(constB62, 1))),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8704, 559, 8582])).
% 27.54/18.11 tff(8706,plain,
% 27.54/18.11 (~v129(constB62, 1)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8705, 8701])).
% 27.54/18.11 tff(8707,plain,
% 27.54/18.11 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB62, 1)) | v129(constB62, 1) | (~v100(constB62)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB62, 1)) | v129(constB62, 1) | (~v100(constB62)))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8708,plain,
% 27.54/18.11 (((~v90(constB62, 1)) | (~v100(constB62)) | v129(constB62, 1)) <=> ((~v90(constB62, 1)) | v129(constB62, 1) | (~v100(constB62)))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8709,plain,
% 27.54/18.11 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB62, 1)) | (~v100(constB62)) | v129(constB62, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB62, 1)) | v129(constB62, 1) | (~v100(constB62))))),
% 27.54/18.11 inference(monotonicity,[status(thm)],[8708])).
% 27.54/18.11 tff(8710,plain,
% 27.54/18.11 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB62, 1)) | (~v100(constB62)) | v129(constB62, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB62, 1)) | v129(constB62, 1) | (~v100(constB62)))),
% 27.54/18.11 inference(transitivity,[status(thm)],[8709, 8707])).
% 27.54/18.11 tff(8711,plain,
% 27.54/18.11 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB62, 1)) | (~v100(constB62)) | v129(constB62, 1))),
% 27.54/18.11 inference(quant_inst,[status(thm)],[])).
% 27.54/18.11 tff(8712,plain,
% 27.54/18.11 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB62, 1)) | v129(constB62, 1) | (~v100(constB62))),
% 27.54/18.11 inference(modus_ponens,[status(thm)],[8711, 8710])).
% 27.54/18.11 tff(8713,plain,
% 27.54/18.11 ((~v90(constB62, 1)) | (~v100(constB62))),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8712, 574, 8706])).
% 27.54/18.11 tff(8714,plain,
% 27.54/18.11 (~v90(constB62, 1)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8713, 8616])).
% 27.54/18.11 tff(8715,plain,
% 27.54/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB62, 1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB62, 1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 1)))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8716,plain,
% 27.54/18.11 (((~nextState(constB62, constB63)) | v90(constB62, 1) | v100(constB63) | (~v90(constB63, 1))) <=> (v90(constB62, 1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 1)))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8717,plain,
% 27.54/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB62, constB63)) | v90(constB62, 1) | v100(constB63) | (~v90(constB63, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB62, 1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 1))))),
% 27.54/18.11 inference(monotonicity,[status(thm)],[8716])).
% 27.54/18.11 tff(8718,plain,
% 27.54/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB62, constB63)) | v90(constB62, 1) | v100(constB63) | (~v90(constB63, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB62, 1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 1)))),
% 27.54/18.11 inference(transitivity,[status(thm)],[8717, 8715])).
% 27.54/18.11 tff(8719,plain,
% 27.54/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB62, constB63)) | v90(constB62, 1) | v100(constB63) | (~v90(constB63, 1)))),
% 27.54/18.11 inference(quant_inst,[status(thm)],[])).
% 27.54/18.11 tff(8720,plain,
% 27.54/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB62, 1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 1))),
% 27.54/18.11 inference(modus_ponens,[status(thm)],[8719, 8718])).
% 27.54/18.11 tff(8721,plain,
% 27.54/18.11 (v90(constB62, 1) | v100(constB63) | (~v90(constB63, 1))),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8720, 191, 8668])).
% 27.54/18.11 tff(8722,plain,
% 27.54/18.11 (v90(constB62, 1) | (~v90(constB63, 1))),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8721, 8680])).
% 27.54/18.11 tff(8723,plain,
% 27.54/18.11 (~v90(constB63, 1)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8722, 8714])).
% 27.54/18.11 tff(8724,assumption,(~v90(constB63, 1)), introduced(assumption)).
% 27.54/18.11 tff(8725,assumption,(~v90(constB63, 2)), introduced(assumption)).
% 27.54/18.11 tff(8726,assumption,(~v120(constB63)), introduced(assumption)).
% 27.54/18.11 tff(8727,plain,
% 27.54/18.11 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB63, 0)) | v90(constB63, 1) | v90(constB63, 2) | v120(constB63))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB63, 0)) | v90(constB63, 1) | v90(constB63, 2) | v120(constB63))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8728,plain,
% 27.54/18.11 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB63, 0)) | v90(constB63, 1) | v90(constB63, 2) | v120(constB63))),
% 27.54/18.11 inference(quant_inst,[status(thm)],[])).
% 27.54/18.11 tff(8729,plain,
% 27.54/18.11 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB63, 0)) | v90(constB63, 1) | v90(constB63, 2) | v120(constB63)),
% 27.54/18.11 inference(modus_ponens,[status(thm)],[8728, 8727])).
% 27.54/18.11 tff(8730,plain,
% 27.54/18.11 ((~v90(constB63, 0)) | v90(constB63, 1) | v90(constB63, 2)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8729, 679, 8726])).
% 27.54/18.11 tff(8731,plain,
% 27.54/18.11 (~v90(constB63, 0)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8730, 8725, 8724])).
% 27.54/18.11 tff(8732,plain,
% 27.54/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB62, 0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB62, 0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 0))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8733,plain,
% 27.54/18.11 (((~nextState(constB62, constB63)) | (~v90(constB62, 0)) | v100(constB63) | v90(constB63, 0)) <=> ((~v90(constB62, 0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 0))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8734,plain,
% 27.54/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB62, constB63)) | (~v90(constB62, 0)) | v100(constB63) | v90(constB63, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB62, 0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 0)))),
% 27.54/18.11 inference(monotonicity,[status(thm)],[8733])).
% 27.54/18.11 tff(8735,plain,
% 27.54/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB62, constB63)) | (~v90(constB62, 0)) | v100(constB63) | v90(constB63, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB62, 0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 0))),
% 27.54/18.11 inference(transitivity,[status(thm)],[8734, 8732])).
% 27.54/18.11 tff(8736,plain,
% 27.54/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB62, constB63)) | (~v90(constB62, 0)) | v100(constB63) | v90(constB63, 0))),
% 27.54/18.11 inference(quant_inst,[status(thm)],[])).
% 27.54/18.11 tff(8737,plain,
% 27.54/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB62, 0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 0)),
% 27.54/18.11 inference(modus_ponens,[status(thm)],[8736, 8735])).
% 27.54/18.11 tff(8738,plain,
% 27.54/18.11 ((~v90(constB62, 0)) | v100(constB63) | v90(constB63, 0)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8737, 660, 8668])).
% 27.54/18.11 tff(8739,plain,
% 27.54/18.11 ((~v90(constB62, 0)) | v90(constB63, 0)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8738, 8680])).
% 27.54/18.11 tff(8740,plain,
% 27.54/18.11 (~v90(constB62, 0)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8739, 8731])).
% 27.54/18.11 tff(8741,plain,
% 27.54/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB62, 1)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB62, 1)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 1))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8742,plain,
% 27.54/18.11 (((~nextState(constB62, constB63)) | (~v90(constB62, 1)) | v100(constB63) | v90(constB63, 1)) <=> ((~v90(constB62, 1)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 1))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8743,plain,
% 27.54/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB62, constB63)) | (~v90(constB62, 1)) | v100(constB63) | v90(constB63, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB62, 1)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 1)))),
% 27.54/18.11 inference(monotonicity,[status(thm)],[8742])).
% 27.54/18.11 tff(8744,plain,
% 27.54/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB62, constB63)) | (~v90(constB62, 1)) | v100(constB63) | v90(constB63, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB62, 1)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 1))),
% 27.54/18.11 inference(transitivity,[status(thm)],[8743, 8741])).
% 27.54/18.11 tff(8745,plain,
% 27.54/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB62, constB63)) | (~v90(constB62, 1)) | v100(constB63) | v90(constB63, 1))),
% 27.54/18.11 inference(quant_inst,[status(thm)],[])).
% 27.54/18.11 tff(8746,plain,
% 27.54/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB62, 1)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 1)),
% 27.54/18.11 inference(modus_ponens,[status(thm)],[8745, 8744])).
% 27.54/18.11 tff(8747,plain,
% 27.54/18.11 ((~v90(constB62, 1)) | v100(constB63) | v90(constB63, 1)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8746, 903, 8668])).
% 27.54/18.11 tff(8748,plain,
% 27.54/18.11 ((~v90(constB62, 1)) | v90(constB63, 1)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8747, 8680])).
% 27.54/18.11 tff(8749,plain,
% 27.54/18.11 (~v90(constB62, 1)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8748, 8724])).
% 27.54/18.11 tff(8750,plain,
% 27.54/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB62, 2)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB62, 2)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 2))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8751,plain,
% 27.54/18.11 (((~nextState(constB62, constB63)) | (~v90(constB62, 2)) | v100(constB63) | v90(constB63, 2)) <=> ((~v90(constB62, 2)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 2))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8752,plain,
% 27.54/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB62, constB63)) | (~v90(constB62, 2)) | v100(constB63) | v90(constB63, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB62, 2)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 2)))),
% 27.54/18.11 inference(monotonicity,[status(thm)],[8751])).
% 27.54/18.11 tff(8753,plain,
% 27.54/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB62, constB63)) | (~v90(constB62, 2)) | v100(constB63) | v90(constB63, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB62, 2)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 2))),
% 27.54/18.11 inference(transitivity,[status(thm)],[8752, 8750])).
% 27.54/18.11 tff(8754,plain,
% 27.54/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB62, constB63)) | (~v90(constB62, 2)) | v100(constB63) | v90(constB63, 2))),
% 27.54/18.11 inference(quant_inst,[status(thm)],[])).
% 27.54/18.11 tff(8755,plain,
% 27.54/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB62, 2)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 2)),
% 27.54/18.11 inference(modus_ponens,[status(thm)],[8754, 8753])).
% 27.54/18.11 tff(8756,plain,
% 27.54/18.11 ((~v90(constB62, 2)) | v100(constB63) | v90(constB63, 2)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8755, 1546, 8668])).
% 27.54/18.11 tff(8757,plain,
% 27.54/18.11 ((~v90(constB62, 2)) | v90(constB63, 2)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8756, 8680])).
% 27.54/18.11 tff(8758,plain,
% 27.54/18.11 (~v90(constB62, 2)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8757, 8725])).
% 27.54/18.11 tff(8759,assumption,(~v90(constB62, 2)), introduced(assumption)).
% 27.54/18.11 tff(8760,assumption,(~v100(constB62)), introduced(assumption)).
% 27.54/18.11 tff(8761,plain,
% 27.54/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB61, 2)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB61, 2)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 2))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8762,plain,
% 27.54/18.11 (((~nextState(constB61, constB62)) | (~v90(constB61, 2)) | v100(constB62) | v90(constB62, 2)) <=> ((~v90(constB61, 2)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 2))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8763,plain,
% 27.54/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB61, constB62)) | (~v90(constB61, 2)) | v100(constB62) | v90(constB62, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB61, 2)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 2)))),
% 27.54/18.11 inference(monotonicity,[status(thm)],[8762])).
% 27.54/18.11 tff(8764,plain,
% 27.54/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB61, constB62)) | (~v90(constB61, 2)) | v100(constB62) | v90(constB62, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB61, 2)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 2))),
% 27.54/18.11 inference(transitivity,[status(thm)],[8763, 8761])).
% 27.54/18.11 tff(8765,plain,
% 27.54/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB61, constB62)) | (~v90(constB61, 2)) | v100(constB62) | v90(constB62, 2))),
% 27.54/18.11 inference(quant_inst,[status(thm)],[])).
% 27.54/18.11 tff(8766,plain,
% 27.54/18.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB61, 2)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 2)),
% 27.54/18.11 inference(modus_ponens,[status(thm)],[8765, 8764])).
% 27.54/18.11 tff(8767,plain,
% 27.54/18.11 ((~v90(constB61, 2)) | v100(constB62) | v90(constB62, 2)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8766, 1546, 8582])).
% 27.54/18.11 tff(8768,plain,
% 27.54/18.11 (~v90(constB61, 2)),
% 27.54/18.11 inference(unit_resolution,[status(thm)],[8767, 8760, 8759])).
% 27.54/18.11 tff(8769,assumption,(~v90(constB62, 1)), introduced(assumption)).
% 27.54/18.11 tff(8770,plain,
% 27.54/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB61, 1)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB61, 1)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 1))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8771,plain,
% 27.54/18.11 (((~nextState(constB61, constB62)) | (~v90(constB61, 1)) | v100(constB62) | v90(constB62, 1)) <=> ((~v90(constB61, 1)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 1))),
% 27.54/18.11 inference(rewrite,[status(thm)],[])).
% 27.54/18.11 tff(8772,plain,
% 27.54/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB61, constB62)) | (~v90(constB61, 1)) | v100(constB62) | v90(constB62, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB61, 1)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 1)))),
% 27.54/18.11 inference(monotonicity,[status(thm)],[8771])).
% 27.54/18.11 tff(8773,plain,
% 27.54/18.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB61, constB62)) | (~v90(constB61, 1)) | v100(constB62) | v90(constB62, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB61, 1)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 1))),
% 27.54/18.12 inference(transitivity,[status(thm)],[8772, 8770])).
% 27.54/18.12 tff(8774,plain,
% 27.54/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB61, constB62)) | (~v90(constB61, 1)) | v100(constB62) | v90(constB62, 1))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8775,plain,
% 27.54/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB61, 1)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 1)),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8774, 8773])).
% 27.54/18.12 tff(8776,plain,
% 27.54/18.12 ((~v90(constB61, 1)) | v100(constB62) | v90(constB62, 1)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8775, 903, 8582])).
% 27.54/18.12 tff(8777,plain,
% 27.54/18.12 (~v90(constB61, 1)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8776, 8760, 8769])).
% 27.54/18.12 tff(8778,assumption,(~v90(constB62, 0)), introduced(assumption)).
% 27.54/18.12 tff(8779,plain,
% 27.54/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB61, 0)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB61, 0)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 0))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8780,plain,
% 27.54/18.12 (((~nextState(constB61, constB62)) | (~v90(constB61, 0)) | v100(constB62) | v90(constB62, 0)) <=> ((~v90(constB61, 0)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 0))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8781,plain,
% 27.54/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB61, constB62)) | (~v90(constB61, 0)) | v100(constB62) | v90(constB62, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB61, 0)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 0)))),
% 27.54/18.12 inference(monotonicity,[status(thm)],[8780])).
% 27.54/18.12 tff(8782,plain,
% 27.54/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB61, constB62)) | (~v90(constB61, 0)) | v100(constB62) | v90(constB62, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB61, 0)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 0))),
% 27.54/18.12 inference(transitivity,[status(thm)],[8781, 8779])).
% 27.54/18.12 tff(8783,plain,
% 27.54/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB61, constB62)) | (~v90(constB61, 0)) | v100(constB62) | v90(constB62, 0))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8784,plain,
% 27.54/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB61, 0)) | (~nextState(constB61, constB62)) | v100(constB62) | v90(constB62, 0)),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8783, 8782])).
% 27.54/18.12 tff(8785,plain,
% 27.54/18.12 ((~v90(constB61, 0)) | v100(constB62) | v90(constB62, 0)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8784, 660, 8582])).
% 27.54/18.12 tff(8786,plain,
% 27.54/18.12 (~v90(constB61, 0)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8785, 8760, 8778])).
% 27.54/18.12 tff(8787,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB61, 0) | v90(constB61, 1) | v90(constB61, 2) | v119(constB61))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB61, 0) | v90(constB61, 1) | v90(constB61, 2) | v119(constB61))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8788,plain,
% 27.54/18.12 ((v90(constB61, 0) | v119(constB61) | v90(constB61, 1) | v90(constB61, 2)) <=> (v90(constB61, 0) | v90(constB61, 1) | v90(constB61, 2) | v119(constB61))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8789,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB61, 0) | v119(constB61) | v90(constB61, 1) | v90(constB61, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB61, 0) | v90(constB61, 1) | v90(constB61, 2) | v119(constB61)))),
% 27.54/18.12 inference(monotonicity,[status(thm)],[8788])).
% 27.54/18.12 tff(8790,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB61, 0) | v119(constB61) | v90(constB61, 1) | v90(constB61, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB61, 0) | v90(constB61, 1) | v90(constB61, 2) | v119(constB61))),
% 27.54/18.12 inference(transitivity,[status(thm)],[8789, 8787])).
% 27.54/18.12 tff(8791,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB61, 0) | v119(constB61) | v90(constB61, 1) | v90(constB61, 2))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8792,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB61, 0) | v90(constB61, 1) | v90(constB61, 2) | v119(constB61)),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8791, 8790])).
% 27.54/18.12 tff(8793,plain,
% 27.54/18.12 (v119(constB61)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8792, 233, 8786, 8777, 8768])).
% 27.54/18.12 tff(8794,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB61)) | v118(constB61))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB61)) | v118(constB61))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8795,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB61)) | v118(constB61))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8796,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB61)) | v118(constB61)),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8795, 8794])).
% 27.54/18.12 tff(8797,plain,
% 27.54/18.12 (v118(constB61)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8796, 247, 8793])).
% 27.54/18.12 tff(8798,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB61) | (~v118(constB61)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB61) | (~v118(constB61)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8799,plain,
% 27.54/18.12 (((~v118(constB61)) | v117(constB61)) <=> (v117(constB61) | (~v118(constB61)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8800,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB61)) | v117(constB61))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB61) | (~v118(constB61))))),
% 27.54/18.12 inference(monotonicity,[status(thm)],[8799])).
% 27.54/18.12 tff(8801,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB61)) | v117(constB61))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB61) | (~v118(constB61)))),
% 27.54/18.12 inference(transitivity,[status(thm)],[8800, 8798])).
% 27.54/18.12 tff(8802,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB61)) | v117(constB61))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8803,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB61) | (~v118(constB61))),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8802, 8801])).
% 27.54/18.12 tff(8804,plain,
% 27.54/18.12 (v117(constB61)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8803, 258, 8797])).
% 27.54/18.12 tff(8805,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB61)) | v116(constB61))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB61)) | v116(constB61))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8806,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB61)) | v116(constB61))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8807,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB61)) | v116(constB61)),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8806, 8805])).
% 27.54/18.12 tff(8808,plain,
% 27.54/18.12 (v116(constB61)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8807, 272, 8804])).
% 27.54/18.12 tff(8809,plain,
% 27.54/18.12 (~v110(constB62)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8615, 8760])).
% 27.54/18.12 tff(8810,plain,
% 27.54/18.12 (~v108(constB61)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8589, 8809])).
% 27.54/18.12 tff(8811,plain,
% 27.54/18.12 (~v112(constB61)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8578, 340, 8810])).
% 27.54/18.12 tff(8812,plain,
% 27.54/18.12 (~v113(constB61)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8571, 8811])).
% 27.54/18.12 tff(8813,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB61) | (~v114(constB61)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB61) | (~v114(constB61)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8814,plain,
% 27.54/18.12 (((~v114(constB61)) | v113(constB61)) <=> (v113(constB61) | (~v114(constB61)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8815,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB61)) | v113(constB61))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB61) | (~v114(constB61))))),
% 27.54/18.12 inference(monotonicity,[status(thm)],[8814])).
% 27.54/18.12 tff(8816,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB61)) | v113(constB61))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB61) | (~v114(constB61)))),
% 27.54/18.12 inference(transitivity,[status(thm)],[8815, 8813])).
% 27.54/18.12 tff(8817,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB61)) | v113(constB61))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8818,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB61) | (~v114(constB61))),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8817, 8816])).
% 27.54/18.12 tff(8819,plain,
% 27.54/18.12 (~v114(constB61)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8818, 314, 8812])).
% 27.54/18.12 tff(8820,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB61)) | v114(constB61))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB61)) | v114(constB61))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8821,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB61)) | v114(constB61))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8822,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB61)) | v114(constB61)),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8821, 8820])).
% 27.54/18.12 tff(8823,plain,
% 27.54/18.12 (~v115(constB61)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8822, 300, 8819])).
% 27.54/18.12 tff(8824,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB61) | (~v116(constB61)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB61) | (~v116(constB61)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8825,plain,
% 27.54/18.12 (((~v116(constB61)) | v115(constB61)) <=> (v115(constB61) | (~v116(constB61)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8826,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB61)) | v115(constB61))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB61) | (~v116(constB61))))),
% 27.54/18.12 inference(monotonicity,[status(thm)],[8825])).
% 27.54/18.12 tff(8827,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB61)) | v115(constB61))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB61) | (~v116(constB61)))),
% 27.54/18.12 inference(transitivity,[status(thm)],[8826, 8824])).
% 27.54/18.12 tff(8828,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB61)) | v115(constB61))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8829,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB61) | (~v116(constB61))),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8828, 8827])).
% 27.54/18.12 tff(8830,plain,
% 27.54/18.12 ($false),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8829, 286, 8823, 8808])).
% 27.54/18.12 tff(8831,plain,(v100(constB62) | v90(constB62, 2) | v90(constB62, 1) | v90(constB62, 0)), inference(lemma,lemma(discharge,[]))).
% 27.54/18.12 tff(8832,plain,
% 27.54/18.12 (v100(constB62)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8831, 8758, 8749, 8740])).
% 27.54/18.12 tff(8833,plain,
% 27.54/18.12 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB62, 2) | (~v129(constB62, 2)) | (~v100(constB62)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB62, 2) | (~v129(constB62, 2)) | (~v100(constB62)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8834,plain,
% 27.54/18.12 ((v90(constB62, 2) | (~v100(constB62)) | (~v129(constB62, 2))) <=> (v90(constB62, 2) | (~v129(constB62, 2)) | (~v100(constB62)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8835,plain,
% 27.54/18.12 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB62, 2) | (~v100(constB62)) | (~v129(constB62, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB62, 2) | (~v129(constB62, 2)) | (~v100(constB62))))),
% 27.54/18.12 inference(monotonicity,[status(thm)],[8834])).
% 27.54/18.12 tff(8836,plain,
% 27.54/18.12 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB62, 2) | (~v100(constB62)) | (~v129(constB62, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB62, 2) | (~v129(constB62, 2)) | (~v100(constB62)))),
% 27.54/18.12 inference(transitivity,[status(thm)],[8835, 8833])).
% 27.54/18.12 tff(8837,plain,
% 27.54/18.12 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB62, 2) | (~v100(constB62)) | (~v129(constB62, 2)))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8838,plain,
% 27.54/18.12 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB62, 2) | (~v129(constB62, 2)) | (~v100(constB62))),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8837, 8836])).
% 27.54/18.12 tff(8839,plain,
% 27.54/18.12 ((~v129(constB62, 2)) | (~v100(constB62))),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8838, 1528, 8758])).
% 27.54/18.12 tff(8840,plain,
% 27.54/18.12 (~v129(constB62, 2)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8839, 8832])).
% 27.54/18.12 tff(8841,plain,
% 27.54/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB61, constB62)) | (~v127(constB61, 2)) | v129(constB62, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB61, constB62)) | (~v127(constB61, 2)) | v129(constB62, 2))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8842,plain,
% 27.54/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB61, constB62)) | (~v127(constB61, 2)) | v129(constB62, 2))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8843,plain,
% 27.54/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB61, constB62)) | (~v127(constB61, 2)) | v129(constB62, 2)),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8842, 8841])).
% 27.54/18.12 tff(8844,plain,
% 27.54/18.12 ((~v127(constB61, 2)) | v129(constB62, 2)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8843, 1513, 8582])).
% 27.54/18.12 tff(8845,plain,
% 27.54/18.12 (~v127(constB61, 2)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8844, 8840])).
% 27.54/18.12 tff(8846,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB61) | (~v130(constB61, 2)) | v127(constB61, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB61) | (~v130(constB61, 2)) | v127(constB61, 2))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8847,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB61) | (~v130(constB61, 2)) | v127(constB61, 2))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8848,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB61) | (~v130(constB61, 2)) | v127(constB61, 2)),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8847, 8846])).
% 27.54/18.12 tff(8849,plain,
% 27.54/18.12 ((~v130(constB61, 2)) | v127(constB61, 2)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8848, 1498, 8564])).
% 27.54/18.12 tff(8850,plain,
% 27.54/18.12 (~v130(constB61, 2)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8849, 8845])).
% 27.54/18.12 tff(8851,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB61)) | v130(constB61, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB61)) | v130(constB61, 2))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8852,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB61)) | v130(constB61, 2))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8853,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB61)) | v130(constB61, 2)),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8852, 8851])).
% 27.54/18.12 tff(8854,plain,
% 27.54/18.12 (~v122(constB61)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8853, 1484, 8850])).
% 27.54/18.12 tff(8855,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB61)) | v130(constB61, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB61)) | v130(constB61, 2))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8856,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB61)) | v130(constB61, 2))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8857,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB61)) | v130(constB61, 2)),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8856, 8855])).
% 27.54/18.12 tff(8858,plain,
% 27.54/18.12 (~v123(constB61)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8857, 1656, 8850])).
% 27.54/18.12 tff(8859,plain,
% 27.54/18.12 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB62, 1) | (~v129(constB62, 1)) | (~v100(constB62)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB62, 1) | (~v129(constB62, 1)) | (~v100(constB62)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8860,plain,
% 27.54/18.12 ((v90(constB62, 1) | (~v100(constB62)) | (~v129(constB62, 1))) <=> (v90(constB62, 1) | (~v129(constB62, 1)) | (~v100(constB62)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8861,plain,
% 27.54/18.12 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB62, 1) | (~v100(constB62)) | (~v129(constB62, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB62, 1) | (~v129(constB62, 1)) | (~v100(constB62))))),
% 27.54/18.12 inference(monotonicity,[status(thm)],[8860])).
% 27.54/18.12 tff(8862,plain,
% 27.54/18.12 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB62, 1) | (~v100(constB62)) | (~v129(constB62, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB62, 1) | (~v129(constB62, 1)) | (~v100(constB62)))),
% 27.54/18.12 inference(transitivity,[status(thm)],[8861, 8859])).
% 27.54/18.12 tff(8863,plain,
% 27.54/18.12 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB62, 1) | (~v100(constB62)) | (~v129(constB62, 1)))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8864,plain,
% 27.54/18.12 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB62, 1) | (~v129(constB62, 1)) | (~v100(constB62))),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8863, 8862])).
% 27.54/18.12 tff(8865,plain,
% 27.54/18.12 ((~v129(constB62, 1)) | (~v100(constB62))),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8864, 885, 8749])).
% 27.54/18.12 tff(8866,plain,
% 27.54/18.12 (~v129(constB62, 1)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8865, 8832])).
% 27.54/18.12 tff(8867,plain,
% 27.54/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB61, constB62)) | (~v127(constB61, 1)) | v129(constB62, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB61, constB62)) | (~v127(constB61, 1)) | v129(constB62, 1))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8868,plain,
% 27.54/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB61, constB62)) | (~v127(constB61, 1)) | v129(constB62, 1))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8869,plain,
% 27.54/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB61, constB62)) | (~v127(constB61, 1)) | v129(constB62, 1)),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8868, 8867])).
% 27.54/18.12 tff(8870,plain,
% 27.54/18.12 ((~v127(constB61, 1)) | v129(constB62, 1)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8869, 870, 8582])).
% 27.54/18.12 tff(8871,plain,
% 27.54/18.12 (~v127(constB61, 1)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8870, 8866])).
% 27.54/18.12 tff(8872,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB61) | (~v130(constB61, 1)) | v127(constB61, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB61) | (~v130(constB61, 1)) | v127(constB61, 1))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8873,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB61) | (~v130(constB61, 1)) | v127(constB61, 1))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8874,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB61) | (~v130(constB61, 1)) | v127(constB61, 1)),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8873, 8872])).
% 27.54/18.12 tff(8875,plain,
% 27.54/18.12 ((~v130(constB61, 1)) | v127(constB61, 1)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8874, 855, 8564])).
% 27.54/18.12 tff(8876,plain,
% 27.54/18.12 (~v130(constB61, 1)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8875, 8871])).
% 27.54/18.12 tff(8877,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB61)) | v130(constB61, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB61)) | v130(constB61, 1))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8878,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB61)) | v130(constB61, 1))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8879,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB61)) | v130(constB61, 1)),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8878, 8877])).
% 27.54/18.12 tff(8880,plain,
% 27.54/18.12 (~v120(constB61)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8879, 841, 8876])).
% 27.54/18.12 tff(8881,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB61)) | v130(constB61, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB61)) | v130(constB61, 1))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8882,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB61)) | v130(constB61, 1))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8883,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB61)) | v130(constB61, 1)),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8882, 8881])).
% 27.54/18.12 tff(8884,plain,
% 27.54/18.12 (~v121(constB61)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8883, 1235, 8876])).
% 27.54/18.12 tff(8885,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB61)) | v130(constB61, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB61)) | v130(constB61, 1))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8886,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB61)) | v130(constB61, 1))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8887,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB61)) | v130(constB61, 1)),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8886, 8885])).
% 27.54/18.12 tff(8888,plain,
% 27.54/18.12 (~v124(constB61)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8887, 1929, 8876])).
% 27.54/18.12 tff(8889,plain,
% 27.54/18.12 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB62, 0) | (~v129(constB62, 0)) | (~v100(constB62)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB62, 0) | (~v129(constB62, 0)) | (~v100(constB62)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8890,plain,
% 27.54/18.12 ((v90(constB62, 0) | (~v100(constB62)) | (~v129(constB62, 0))) <=> (v90(constB62, 0) | (~v129(constB62, 0)) | (~v100(constB62)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8891,plain,
% 27.54/18.12 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB62, 0) | (~v100(constB62)) | (~v129(constB62, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB62, 0) | (~v129(constB62, 0)) | (~v100(constB62))))),
% 27.54/18.12 inference(monotonicity,[status(thm)],[8890])).
% 27.54/18.12 tff(8892,plain,
% 27.54/18.12 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB62, 0) | (~v100(constB62)) | (~v129(constB62, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB62, 0) | (~v129(constB62, 0)) | (~v100(constB62)))),
% 27.54/18.12 inference(transitivity,[status(thm)],[8891, 8889])).
% 27.54/18.12 tff(8893,plain,
% 27.54/18.12 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB62, 0) | (~v100(constB62)) | (~v129(constB62, 0)))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8894,plain,
% 27.54/18.12 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB62, 0) | (~v129(constB62, 0)) | (~v100(constB62))),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8893, 8892])).
% 27.54/18.12 tff(8895,plain,
% 27.54/18.12 ((~v129(constB62, 0)) | (~v100(constB62))),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8894, 642, 8740])).
% 27.54/18.12 tff(8896,plain,
% 27.54/18.12 (~v129(constB62, 0)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8895, 8832])).
% 27.54/18.12 tff(8897,plain,
% 27.54/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB61, constB62)) | (~v127(constB61, 0)) | v129(constB62, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB61, constB62)) | (~v127(constB61, 0)) | v129(constB62, 0))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8898,plain,
% 27.54/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB61, constB62)) | (~v127(constB61, 0)) | v129(constB62, 0))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8899,plain,
% 27.54/18.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB61, constB62)) | (~v127(constB61, 0)) | v129(constB62, 0)),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8898, 8897])).
% 27.54/18.12 tff(8900,plain,
% 27.54/18.12 ((~v127(constB61, 0)) | v129(constB62, 0)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8899, 627, 8582])).
% 27.54/18.12 tff(8901,plain,
% 27.54/18.12 (~v127(constB61, 0)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8900, 8896])).
% 27.54/18.12 tff(8902,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB61) | (~v130(constB61, 0)) | v127(constB61, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB61) | (~v130(constB61, 0)) | v127(constB61, 0))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8903,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB61) | (~v130(constB61, 0)) | v127(constB61, 0))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8904,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB61) | (~v130(constB61, 0)) | v127(constB61, 0)),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8903, 8902])).
% 27.54/18.12 tff(8905,plain,
% 27.54/18.12 ((~v130(constB61, 0)) | v127(constB61, 0)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8904, 612, 8564])).
% 27.54/18.12 tff(8906,plain,
% 27.54/18.12 (~v130(constB61, 0)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8905, 8901])).
% 27.54/18.12 tff(8907,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, 0))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8908,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, 0))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8909,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, 0)),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8908, 8907])).
% 27.54/18.12 tff(8910,plain,
% 27.54/18.12 (v119(constB61)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8909, 2258, 8906, 8888, 8884, 8880, 8858, 8854])).
% 27.54/18.12 tff(8911,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB61)) | v130(constB61, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB61)) | v130(constB61, 0))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8912,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB61)) | v130(constB61, 0))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8913,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB61)) | v130(constB61, 0)),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8912, 8911])).
% 27.54/18.12 tff(8914,plain,
% 27.54/18.12 ($false),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8913, 598, 8906, 8910])).
% 27.54/18.12 tff(8915,plain,(v90(constB63, 2) | v90(constB63, 1) | v120(constB63)), inference(lemma,lemma(discharge,[]))).
% 27.54/18.12 tff(8916,plain,
% 27.54/18.12 (v120(constB63)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8915, 8723, 8689])).
% 27.54/18.12 tff(8917,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB63)) | v118(constB63))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB63)) | v118(constB63))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8918,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB63)) | v118(constB63))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8919,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB63)) | v118(constB63)),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8918, 8917])).
% 27.54/18.12 tff(8920,plain,
% 27.54/18.12 (v118(constB63)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8919, 690, 8916])).
% 27.54/18.12 tff(8921,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB63) | (~v118(constB63)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB63) | (~v118(constB63)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8922,plain,
% 27.54/18.12 (((~v118(constB63)) | v117(constB63)) <=> (v117(constB63) | (~v118(constB63)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8923,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB63)) | v117(constB63))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB63) | (~v118(constB63))))),
% 27.54/18.12 inference(monotonicity,[status(thm)],[8922])).
% 27.54/18.12 tff(8924,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB63)) | v117(constB63))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB63) | (~v118(constB63)))),
% 27.54/18.12 inference(transitivity,[status(thm)],[8923, 8921])).
% 27.54/18.12 tff(8925,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB63)) | v117(constB63))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8926,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB63) | (~v118(constB63))),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8925, 8924])).
% 27.54/18.12 tff(8927,plain,
% 27.54/18.12 (v117(constB63)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8926, 258, 8920])).
% 27.54/18.12 tff(8928,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB63)) | v116(constB63))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB63)) | v116(constB63))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8929,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB63)) | v116(constB63))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8930,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB63)) | v116(constB63)),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8929, 8928])).
% 27.54/18.12 tff(8931,plain,
% 27.54/18.12 (v116(constB63)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8930, 272, 8927])).
% 27.54/18.12 tff(8932,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB63) | (~v116(constB63)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB63) | (~v116(constB63)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8933,plain,
% 27.54/18.12 (((~v116(constB63)) | v115(constB63)) <=> (v115(constB63) | (~v116(constB63)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8934,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB63)) | v115(constB63))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB63) | (~v116(constB63))))),
% 27.54/18.12 inference(monotonicity,[status(thm)],[8933])).
% 27.54/18.12 tff(8935,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB63)) | v115(constB63))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB63) | (~v116(constB63)))),
% 27.54/18.12 inference(transitivity,[status(thm)],[8934, 8932])).
% 27.54/18.12 tff(8936,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB63)) | v115(constB63))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8937,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB63) | (~v116(constB63))),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8936, 8935])).
% 27.54/18.12 tff(8938,plain,
% 27.54/18.12 (v115(constB63)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8937, 286, 8931])).
% 27.54/18.12 tff(8939,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB63) | (~v115(constB63)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB63) | (~v115(constB63)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8940,plain,
% 27.54/18.12 (((~v115(constB63)) | v114(constB63)) <=> (v114(constB63) | (~v115(constB63)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8941,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB63)) | v114(constB63))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB63) | (~v115(constB63))))),
% 27.54/18.12 inference(monotonicity,[status(thm)],[8940])).
% 27.54/18.12 tff(8942,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB63)) | v114(constB63))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB63) | (~v115(constB63)))),
% 27.54/18.12 inference(transitivity,[status(thm)],[8941, 8939])).
% 27.54/18.12 tff(8943,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB63)) | v114(constB63))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8944,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB63) | (~v115(constB63))),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8943, 8942])).
% 27.54/18.12 tff(8945,plain,
% 27.54/18.12 (v114(constB63)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8944, 300, 8938])).
% 27.54/18.12 tff(8946,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB63) | (~v114(constB63)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB63) | (~v114(constB63)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8947,plain,
% 27.54/18.12 (((~v114(constB63)) | v113(constB63)) <=> (v113(constB63) | (~v114(constB63)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8948,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB63)) | v113(constB63))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB63) | (~v114(constB63))))),
% 27.54/18.12 inference(monotonicity,[status(thm)],[8947])).
% 27.54/18.12 tff(8949,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB63)) | v113(constB63))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB63) | (~v114(constB63)))),
% 27.54/18.12 inference(transitivity,[status(thm)],[8948, 8946])).
% 27.54/18.12 tff(8950,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB63)) | v113(constB63))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8951,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB63) | (~v114(constB63))),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8950, 8949])).
% 27.54/18.12 tff(8952,plain,
% 27.54/18.12 (v113(constB63)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8951, 314, 8945])).
% 27.54/18.12 tff(8953,assumption,(~v108(constB63)), introduced(assumption)).
% 27.54/18.12 tff(8954,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB63) | (~v112(constB63)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v112(constB63)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8955,plain,
% 27.54/18.12 (((~v112(constB63)) | v108(constB63)) <=> (v108(constB63) | (~v112(constB63)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8956,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB63)) | v108(constB63))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB63) | (~v112(constB63))))),
% 27.54/18.12 inference(monotonicity,[status(thm)],[8955])).
% 27.54/18.12 tff(8957,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB63)) | v108(constB63))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v112(constB63)))),
% 27.54/18.12 inference(transitivity,[status(thm)],[8956, 8954])).
% 27.54/18.12 tff(8958,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB63)) | v108(constB63))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8959,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v112(constB63))),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8958, 8957])).
% 27.54/18.12 tff(8960,plain,
% 27.54/18.12 (~v112(constB63)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8959, 340, 8953])).
% 27.54/18.12 tff(8961,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB63) | (~v26(constB63)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v26(constB63)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8962,plain,
% 27.54/18.12 (((~v26(constB63)) | v108(constB63)) <=> (v108(constB63) | (~v26(constB63)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8963,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB63)) | v108(constB63))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB63) | (~v26(constB63))))),
% 27.54/18.12 inference(monotonicity,[status(thm)],[8962])).
% 27.54/18.12 tff(8964,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB63)) | v108(constB63))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v26(constB63)))),
% 27.54/18.12 inference(transitivity,[status(thm)],[8963, 8961])).
% 27.54/18.12 tff(8965,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB63)) | v108(constB63))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8966,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v26(constB63))),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8965, 8964])).
% 27.54/18.12 tff(8967,plain,
% 27.54/18.12 (~v26(constB63)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8966, 6750, 8953])).
% 27.54/18.12 tff(8968,assumption,(v113(constB63)), introduced(assumption)).
% 27.54/18.12 tff(8969,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | v112(constB63) | (~v113(constB63)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | v112(constB63) | (~v113(constB63)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8970,plain,
% 27.54/18.12 ((v26(constB63) | (~v113(constB63)) | v112(constB63)) <=> (v26(constB63) | v112(constB63) | (~v113(constB63)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8971,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | v112(constB63) | (~v113(constB63))))),
% 27.54/18.12 inference(monotonicity,[status(thm)],[8970])).
% 27.54/18.12 tff(8972,plain,
% 27.54/18.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | v112(constB63) | (~v113(constB63)))),
% 27.54/18.12 inference(transitivity,[status(thm)],[8971, 8969])).
% 27.54/18.12 tff(8973,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))),
% 27.54/18.12 inference(quant_inst,[status(thm)],[])).
% 27.54/18.12 tff(8974,plain,
% 27.54/18.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | v112(constB63) | (~v113(constB63))),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8973, 8972])).
% 27.54/18.12 tff(8975,plain,
% 27.54/18.12 (v26(constB63) | v112(constB63)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8974, 328, 8968])).
% 27.54/18.12 tff(8976,plain,
% 27.54/18.12 ($false),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8975, 8967, 8960])).
% 27.54/18.12 tff(8977,plain,(v108(constB63) | (~v113(constB63))), inference(lemma,lemma(discharge,[]))).
% 27.54/18.12 tff(8978,plain,
% 27.54/18.12 (v108(constB63)),
% 27.54/18.12 inference(unit_resolution,[status(thm)],[8977, 8952])).
% 27.54/18.12 tff(8979,plain,
% 27.54/18.12 (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8980,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_63_1')).
% 27.54/18.12 tff(8981,plain,
% 27.54/18.12 (nextState(constB63, constB64)),
% 27.54/18.12 inference(modus_ponens,[status(thm)],[8980, 8979])).
% 27.54/18.12 tff(8982,plain,
% 27.54/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8983,plain,
% 27.54/18.12 (((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64)) <=> ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 27.54/18.12 inference(rewrite,[status(thm)],[])).
% 27.54/18.12 tff(8984,plain,
% 27.54/18.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63))))),
% 27.54/18.13 inference(monotonicity,[status(thm)],[8983])).
% 27.54/18.13 tff(8985,plain,
% 27.54/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 27.54/18.13 inference(transitivity,[status(thm)],[8984, 8982])).
% 27.54/18.13 tff(8986,plain,
% 27.54/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))),
% 27.54/18.13 inference(quant_inst,[status(thm)],[])).
% 27.54/18.13 tff(8987,plain,
% 27.54/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63))),
% 27.54/18.13 inference(modus_ponens,[status(thm)],[8986, 8985])).
% 27.54/18.13 tff(8988,plain,
% 27.54/18.13 (v110(constB64) | (~v108(constB63))),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[8987, 360, 8981])).
% 27.54/18.13 tff(8989,plain,
% 27.54/18.13 (v110(constB64)),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[8988, 8978])).
% 27.54/18.13 tff(8990,plain,
% 27.54/18.13 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))),
% 27.54/18.13 inference(rewrite,[status(thm)],[])).
% 27.54/18.13 tff(8991,plain,
% 27.54/18.13 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))),
% 27.54/18.13 inference(quant_inst,[status(thm)],[])).
% 27.54/18.13 tff(8992,plain,
% 27.54/18.13 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64))),
% 27.54/18.13 inference(modus_ponens,[status(thm)],[8991, 8990])).
% 27.54/18.13 tff(8993,plain,
% 27.54/18.13 (~v104(constB64)),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[8992, 378, 8981, 8665])).
% 27.54/18.13 tff(8994,plain,
% 27.54/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))),
% 27.54/18.13 inference(rewrite,[status(thm)],[])).
% 27.54/18.13 tff(8995,plain,
% 27.54/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))),
% 27.54/18.13 inference(quant_inst,[status(thm)],[])).
% 27.54/18.13 tff(8996,plain,
% 27.54/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB63, constB64)) | v102(constB64) | v104(constB64)),
% 27.54/18.13 inference(modus_ponens,[status(thm)],[8995, 8994])).
% 27.54/18.13 tff(8997,plain,
% 27.54/18.13 (v102(constB64) | v104(constB64)),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[8996, 392, 8981])).
% 27.54/18.13 tff(8998,plain,
% 27.54/18.13 (v102(constB64)),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[8997, 8993])).
% 27.54/18.13 tff(8999,plain,
% 27.54/18.13 (v1(constB64) <=> v1(constB64)),
% 27.54/18.13 inference(rewrite,[status(thm)],[])).
% 27.54/18.13 tff(9000,axiom,(v1(constB64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_64_1')).
% 27.54/18.13 tff(9001,plain,
% 27.54/18.13 (v1(constB64)),
% 27.54/18.13 inference(modus_ponens,[status(thm)],[9000, 8999])).
% 27.54/18.13 tff(9002,plain,
% 27.54/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))),
% 27.54/18.13 inference(rewrite,[status(thm)],[])).
% 27.54/18.13 tff(9003,plain,
% 27.54/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))),
% 27.54/18.13 inference(quant_inst,[status(thm)],[])).
% 27.54/18.13 tff(9004,plain,
% 27.54/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64))),
% 27.54/18.13 inference(modus_ponens,[status(thm)],[9003, 9002])).
% 27.54/18.13 tff(9005,plain,
% 27.54/18.13 (v101(constB64) | (~v102(constB64))),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[9004, 410, 8981, 9001])).
% 27.54/18.13 tff(9006,plain,
% 27.54/18.13 (v101(constB64)),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[9005, 8998])).
% 27.54/18.13 tff(9007,plain,
% 27.54/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 27.54/18.13 inference(rewrite,[status(thm)],[])).
% 27.54/18.13 tff(9008,plain,
% 27.54/18.13 (((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64)) <=> ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 27.54/18.13 inference(rewrite,[status(thm)],[])).
% 27.54/18.13 tff(9009,plain,
% 27.54/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64))))),
% 27.54/18.13 inference(monotonicity,[status(thm)],[9008])).
% 27.54/18.13 tff(9010,plain,
% 27.54/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 27.54/18.13 inference(transitivity,[status(thm)],[9009, 9007])).
% 27.54/18.13 tff(9011,plain,
% 27.54/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))),
% 27.54/18.13 inference(quant_inst,[status(thm)],[])).
% 27.54/18.13 tff(9012,plain,
% 27.54/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64))),
% 27.54/18.13 inference(modus_ponens,[status(thm)],[9011, 9010])).
% 27.54/18.13 tff(9013,plain,
% 27.54/18.13 (v100(constB64) | (~v101(constB64)) | (~v110(constB64))),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[9012, 425, 8981])).
% 27.54/18.13 tff(9014,plain,
% 27.54/18.13 (v100(constB64) | (~v110(constB64))),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[9013, 9006])).
% 27.54/18.13 tff(9015,plain,
% 27.54/18.13 (v100(constB64)),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[9014, 8989])).
% 27.54/18.13 tff(9016,plain,
% 27.54/18.13 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB63)) | (~v130(constB63, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB63)) | (~v130(constB63, 2)))),
% 27.54/18.13 inference(rewrite,[status(thm)],[])).
% 27.54/18.13 tff(9017,plain,
% 27.54/18.13 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB63)) | (~v130(constB63, 2)))),
% 27.54/18.13 inference(quant_inst,[status(thm)],[])).
% 27.54/18.13 tff(9018,plain,
% 27.54/18.13 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB63)) | (~v130(constB63, 2))),
% 27.54/18.13 inference(modus_ponens,[status(thm)],[9017, 9016])).
% 27.54/18.13 tff(9019,plain,
% 27.54/18.13 (~v130(constB63, 2)),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[9018, 785, 8916])).
% 27.54/18.13 tff(9020,assumption,(v26(constB63)), introduced(assumption)).
% 27.54/18.13 tff(9021,plain,
% 27.54/18.13 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB63))),
% 27.54/18.13 inference(quant_inst,[status(thm)],[])).
% 27.54/18.13 tff(9022,plain,
% 27.54/18.13 ($false),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[9021, 95, 9020])).
% 27.54/18.13 tff(9023,plain,(~v26(constB63)), inference(lemma,lemma(discharge,[]))).
% 27.54/18.13 tff(9024,plain,
% 27.54/18.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB63, 2)) | v26(constB63) | v130(constB63, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB63, 2)) | v26(constB63) | v130(constB63, 2))),
% 27.54/18.13 inference(rewrite,[status(thm)],[])).
% 27.54/18.13 tff(9025,plain,
% 27.54/18.13 ((v26(constB63) | v130(constB63, 2) | (~v127(constB63, 2))) <=> ((~v127(constB63, 2)) | v26(constB63) | v130(constB63, 2))),
% 27.54/18.13 inference(rewrite,[status(thm)],[])).
% 27.54/18.13 tff(9026,plain,
% 27.54/18.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB63) | v130(constB63, 2) | (~v127(constB63, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB63, 2)) | v26(constB63) | v130(constB63, 2)))),
% 27.54/18.13 inference(monotonicity,[status(thm)],[9025])).
% 27.54/18.13 tff(9027,plain,
% 27.54/18.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB63) | v130(constB63, 2) | (~v127(constB63, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB63, 2)) | v26(constB63) | v130(constB63, 2))),
% 27.54/18.13 inference(transitivity,[status(thm)],[9026, 9024])).
% 27.54/18.13 tff(9028,plain,
% 27.54/18.13 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB63) | v130(constB63, 2) | (~v127(constB63, 2)))),
% 27.54/18.13 inference(quant_inst,[status(thm)],[])).
% 27.54/18.13 tff(9029,plain,
% 27.54/18.13 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB63, 2)) | v26(constB63) | v130(constB63, 2)),
% 27.54/18.13 inference(modus_ponens,[status(thm)],[9028, 9027])).
% 27.54/18.13 tff(9030,plain,
% 27.54/18.13 ((~v127(constB63, 2)) | v130(constB63, 2)),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[9029, 455, 9023])).
% 27.54/18.13 tff(9031,plain,
% 27.54/18.13 (~v127(constB63, 2)),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[9030, 9019])).
% 27.54/18.13 tff(9032,plain,
% 27.54/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB63, constB64)) | v127(constB63, 2) | (~v129(constB64, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB63, constB64)) | v127(constB63, 2) | (~v129(constB64, 2)))),
% 27.54/18.13 inference(rewrite,[status(thm)],[])).
% 27.54/18.13 tff(9033,plain,
% 27.54/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB63, constB64)) | v127(constB63, 2) | (~v129(constB64, 2)))),
% 27.54/18.13 inference(quant_inst,[status(thm)],[])).
% 27.54/18.13 tff(9034,plain,
% 27.54/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB63, constB64)) | v127(constB63, 2) | (~v129(constB64, 2))),
% 27.54/18.13 inference(modus_ponens,[status(thm)],[9033, 9032])).
% 27.54/18.13 tff(9035,plain,
% 27.54/18.13 (v127(constB63, 2) | (~v129(constB64, 2))),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[9034, 473, 8981])).
% 27.54/18.13 tff(9036,plain,
% 27.54/18.13 (~v129(constB64, 2)),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[9035, 9031])).
% 27.54/18.13 tff(9037,plain,
% 27.54/18.13 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB64, 2)) | v129(constB64, 2) | (~v100(constB64)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB64, 2)) | v129(constB64, 2) | (~v100(constB64)))),
% 27.54/18.13 inference(rewrite,[status(thm)],[])).
% 27.54/18.13 tff(9038,plain,
% 27.54/18.13 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB64, 2)) | v129(constB64, 2) | (~v100(constB64)))),
% 27.54/18.13 inference(quant_inst,[status(thm)],[])).
% 27.54/18.13 tff(9039,plain,
% 27.54/18.13 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB64, 2)) | v129(constB64, 2) | (~v100(constB64))),
% 27.54/18.13 inference(modus_ponens,[status(thm)],[9038, 9037])).
% 27.54/18.13 tff(9040,plain,
% 27.54/18.13 ((~v90(constB64, 2)) | (~v100(constB64))),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[9039, 488, 9036])).
% 27.54/18.13 tff(9041,plain,
% 27.54/18.13 (~v90(constB64, 2)),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[9040, 9015])).
% 27.54/18.13 tff(9042,plain,
% 27.54/18.13 ((~v1(constB65)) <=> (~v1(constB65))),
% 27.54/18.13 inference(rewrite,[status(thm)],[])).
% 27.54/18.13 tff(9043,axiom,(~v1(constB65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_65_1_1')).
% 27.54/18.13 tff(9044,plain,
% 27.54/18.13 (~v1(constB65)),
% 27.54/18.13 inference(modus_ponens,[status(thm)],[9043, 9042])).
% 27.54/18.13 tff(9045,plain,
% 27.54/18.13 (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 27.54/18.13 inference(rewrite,[status(thm)],[])).
% 27.54/18.13 tff(9046,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_64_1')).
% 27.54/18.13 tff(9047,plain,
% 27.54/18.13 (nextState(constB64, constB65)),
% 27.54/18.13 inference(modus_ponens,[status(thm)],[9046, 9045])).
% 27.54/18.13 tff(9048,plain,
% 27.54/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 27.54/18.13 inference(rewrite,[status(thm)],[])).
% 27.54/18.13 tff(9049,plain,
% 27.54/18.13 (((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65)) <=> (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 27.54/18.13 inference(rewrite,[status(thm)],[])).
% 27.54/18.13 tff(9050,plain,
% 27.54/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65))))),
% 27.54/18.13 inference(monotonicity,[status(thm)],[9049])).
% 27.54/18.13 tff(9051,plain,
% 27.54/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 27.54/18.13 inference(transitivity,[status(thm)],[9050, 9048])).
% 27.54/18.13 tff(9052,plain,
% 27.54/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))),
% 27.54/18.13 inference(quant_inst,[status(thm)],[])).
% 27.54/18.13 tff(9053,plain,
% 27.54/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65))),
% 27.54/18.13 inference(modus_ponens,[status(thm)],[9052, 9051])).
% 27.54/18.13 tff(9054,plain,
% 27.54/18.13 (~v101(constB65)),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[9053, 138, 9047, 9044])).
% 27.54/18.13 tff(9055,plain,
% 27.54/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))),
% 27.54/18.13 inference(rewrite,[status(thm)],[])).
% 27.54/18.13 tff(9056,plain,
% 27.54/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))),
% 27.54/18.13 inference(quant_inst,[status(thm)],[])).
% 27.54/18.13 tff(9057,plain,
% 27.54/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65))),
% 27.54/18.13 inference(modus_ponens,[status(thm)],[9056, 9055])).
% 27.54/18.13 tff(9058,plain,
% 27.54/18.13 (v101(constB65) | (~v100(constB65))),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[9057, 155, 9047])).
% 27.54/18.13 tff(9059,plain,
% 27.54/18.13 (~v100(constB65)),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[9058, 9054])).
% 27.54/18.13 tff(9060,plain,
% 27.54/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB64, 2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB64, 2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 2)))),
% 27.54/18.13 inference(rewrite,[status(thm)],[])).
% 27.54/18.13 tff(9061,plain,
% 27.54/18.13 (((~nextState(constB64, constB65)) | v90(constB64, 2) | v100(constB65) | (~v90(constB65, 2))) <=> (v90(constB64, 2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 2)))),
% 27.54/18.13 inference(rewrite,[status(thm)],[])).
% 27.54/18.13 tff(9062,plain,
% 27.54/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB64, constB65)) | v90(constB64, 2) | v100(constB65) | (~v90(constB65, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB64, 2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 2))))),
% 27.54/18.13 inference(monotonicity,[status(thm)],[9061])).
% 27.54/18.13 tff(9063,plain,
% 27.54/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB64, constB65)) | v90(constB64, 2) | v100(constB65) | (~v90(constB65, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB64, 2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 2)))),
% 27.54/18.13 inference(transitivity,[status(thm)],[9062, 9060])).
% 27.54/18.13 tff(9064,plain,
% 27.54/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB64, constB65)) | v90(constB64, 2) | v100(constB65) | (~v90(constB65, 2)))),
% 27.54/18.13 inference(quant_inst,[status(thm)],[])).
% 27.54/18.13 tff(9065,plain,
% 27.54/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB64, 2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 2))),
% 27.54/18.13 inference(modus_ponens,[status(thm)],[9064, 9063])).
% 27.54/18.13 tff(9066,plain,
% 27.54/18.13 (v90(constB64, 2) | v100(constB65) | (~v90(constB65, 2))),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[9065, 170, 9047])).
% 27.54/18.13 tff(9067,plain,
% 27.54/18.13 (v90(constB64, 2) | (~v90(constB65, 2))),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[9066, 9059])).
% 27.54/18.13 tff(9068,plain,
% 27.54/18.13 (~v90(constB65, 2)),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[9067, 9041])).
% 27.54/18.13 tff(9069,plain,
% 27.54/18.13 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB63)) | v130(constB63, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB63)) | v130(constB63, 1))),
% 27.54/18.13 inference(rewrite,[status(thm)],[])).
% 27.54/18.13 tff(9070,plain,
% 27.54/18.13 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB63)) | v130(constB63, 1))),
% 27.54/18.13 inference(quant_inst,[status(thm)],[])).
% 27.54/18.13 tff(9071,plain,
% 27.54/18.13 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB63)) | v130(constB63, 1)),
% 27.54/18.13 inference(modus_ponens,[status(thm)],[9070, 9069])).
% 27.54/18.13 tff(9072,plain,
% 27.54/18.13 (v130(constB63, 1)),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[9071, 841, 8916])).
% 27.54/18.13 tff(9073,plain,
% 27.54/18.13 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB63) | (~v130(constB63, 1)) | v127(constB63, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB63) | (~v130(constB63, 1)) | v127(constB63, 1))),
% 27.54/18.13 inference(rewrite,[status(thm)],[])).
% 27.54/18.13 tff(9074,plain,
% 27.54/18.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB63) | (~v130(constB63, 1)) | v127(constB63, 1))),
% 27.54/18.13 inference(quant_inst,[status(thm)],[])).
% 27.54/18.13 tff(9075,plain,
% 27.54/18.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB63) | (~v130(constB63, 1)) | v127(constB63, 1)),
% 27.54/18.13 inference(modus_ponens,[status(thm)],[9074, 9073])).
% 27.54/18.13 tff(9076,plain,
% 27.54/18.13 ((~v130(constB63, 1)) | v127(constB63, 1)),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[9075, 855, 9023])).
% 27.54/18.13 tff(9077,plain,
% 27.54/18.13 (v127(constB63, 1)),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[9076, 9072])).
% 27.54/18.13 tff(9078,plain,
% 27.54/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB63, constB64)) | (~v127(constB63, 1)) | v129(constB64, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB63, constB64)) | (~v127(constB63, 1)) | v129(constB64, 1))),
% 27.54/18.13 inference(rewrite,[status(thm)],[])).
% 27.54/18.13 tff(9079,plain,
% 27.54/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB63, constB64)) | (~v127(constB63, 1)) | v129(constB64, 1))),
% 27.54/18.13 inference(quant_inst,[status(thm)],[])).
% 27.54/18.13 tff(9080,plain,
% 27.54/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB63, constB64)) | (~v127(constB63, 1)) | v129(constB64, 1)),
% 27.54/18.13 inference(modus_ponens,[status(thm)],[9079, 9078])).
% 27.54/18.13 tff(9081,plain,
% 27.54/18.13 ((~v127(constB63, 1)) | v129(constB64, 1)),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[9080, 870, 8981])).
% 27.54/18.13 tff(9082,plain,
% 27.54/18.13 (v129(constB64, 1)),
% 27.54/18.13 inference(unit_resolution,[status(thm)],[9081, 9077])).
% 27.54/18.13 tff(9083,plain,
% 27.54/18.13 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB64, 1) | (~v129(constB64, 1)) | (~v100(constB64)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB64, 1) | (~v129(constB64, 1)) | (~v100(constB64)))),
% 27.61/18.13 inference(rewrite,[status(thm)],[])).
% 27.61/18.13 tff(9084,plain,
% 27.61/18.13 ((v90(constB64, 1) | (~v100(constB64)) | (~v129(constB64, 1))) <=> (v90(constB64, 1) | (~v129(constB64, 1)) | (~v100(constB64)))),
% 27.61/18.13 inference(rewrite,[status(thm)],[])).
% 27.61/18.13 tff(9085,plain,
% 27.61/18.13 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB64, 1) | (~v100(constB64)) | (~v129(constB64, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB64, 1) | (~v129(constB64, 1)) | (~v100(constB64))))),
% 27.61/18.13 inference(monotonicity,[status(thm)],[9084])).
% 27.61/18.13 tff(9086,plain,
% 27.61/18.13 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB64, 1) | (~v100(constB64)) | (~v129(constB64, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB64, 1) | (~v129(constB64, 1)) | (~v100(constB64)))),
% 27.61/18.13 inference(transitivity,[status(thm)],[9085, 9083])).
% 27.61/18.13 tff(9087,plain,
% 27.61/18.13 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB64, 1) | (~v100(constB64)) | (~v129(constB64, 1)))),
% 27.61/18.13 inference(quant_inst,[status(thm)],[])).
% 27.61/18.13 tff(9088,plain,
% 27.61/18.13 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB64, 1) | (~v129(constB64, 1)) | (~v100(constB64))),
% 27.61/18.13 inference(modus_ponens,[status(thm)],[9087, 9086])).
% 27.61/18.13 tff(9089,plain,
% 27.61/18.13 (v90(constB64, 1) | (~v100(constB64))),
% 27.61/18.13 inference(unit_resolution,[status(thm)],[9088, 885, 9082])).
% 27.61/18.13 tff(9090,plain,
% 27.61/18.13 (v90(constB64, 1)),
% 27.61/18.13 inference(unit_resolution,[status(thm)],[9089, 9015])).
% 27.61/18.13 tff(9091,plain,
% 27.61/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB64, 1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB64, 1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, 1))),
% 27.61/18.13 inference(rewrite,[status(thm)],[])).
% 27.61/18.13 tff(9092,plain,
% 27.61/18.13 (((~nextState(constB64, constB65)) | (~v90(constB64, 1)) | v100(constB65) | v90(constB65, 1)) <=> ((~v90(constB64, 1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, 1))),
% 27.61/18.13 inference(rewrite,[status(thm)],[])).
% 27.61/18.13 tff(9093,plain,
% 27.61/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, 1)) | v100(constB65) | v90(constB65, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB64, 1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, 1)))),
% 27.61/18.13 inference(monotonicity,[status(thm)],[9092])).
% 27.61/18.13 tff(9094,plain,
% 27.61/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, 1)) | v100(constB65) | v90(constB65, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB64, 1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, 1))),
% 27.61/18.13 inference(transitivity,[status(thm)],[9093, 9091])).
% 27.61/18.13 tff(9095,plain,
% 27.61/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, 1)) | v100(constB65) | v90(constB65, 1))),
% 27.61/18.13 inference(quant_inst,[status(thm)],[])).
% 27.61/18.13 tff(9096,plain,
% 27.61/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB64, 1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, 1)),
% 27.61/18.13 inference(modus_ponens,[status(thm)],[9095, 9094])).
% 27.61/18.13 tff(9097,plain,
% 27.61/18.13 ((~v90(constB64, 1)) | v100(constB65) | v90(constB65, 1)),
% 27.61/18.13 inference(unit_resolution,[status(thm)],[9096, 903, 9047])).
% 27.61/18.13 tff(9098,plain,
% 27.61/18.13 ((~v90(constB64, 1)) | v90(constB65, 1)),
% 27.61/18.13 inference(unit_resolution,[status(thm)],[9097, 9059])).
% 27.61/18.13 tff(9099,plain,
% 27.61/18.13 (v90(constB65, 1)),
% 27.61/18.13 inference(unit_resolution,[status(thm)],[9098, 9090])).
% 27.61/18.13 tff(9100,plain,
% 27.61/18.13 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB63)) | (~v130(constB63, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB63)) | (~v130(constB63, 0)))),
% 27.61/18.13 inference(rewrite,[status(thm)],[])).
% 27.61/18.13 tff(9101,plain,
% 27.61/18.13 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB63)) | (~v130(constB63, 0)))),
% 27.61/18.13 inference(quant_inst,[status(thm)],[])).
% 27.61/18.13 tff(9102,plain,
% 27.61/18.13 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB63)) | (~v130(constB63, 0))),
% 27.61/18.13 inference(modus_ponens,[status(thm)],[9101, 9100])).
% 27.61/18.13 tff(9103,plain,
% 27.61/18.13 (~v130(constB63, 0)),
% 27.61/18.13 inference(unit_resolution,[status(thm)],[9102, 919, 8916])).
% 27.61/18.13 tff(9104,plain,
% 27.61/18.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB63, 0)) | v26(constB63) | v130(constB63, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB63, 0)) | v26(constB63) | v130(constB63, 0))),
% 27.61/18.13 inference(rewrite,[status(thm)],[])).
% 27.61/18.13 tff(9105,plain,
% 27.61/18.13 ((v26(constB63) | v130(constB63, 0) | (~v127(constB63, 0))) <=> ((~v127(constB63, 0)) | v26(constB63) | v130(constB63, 0))),
% 27.61/18.13 inference(rewrite,[status(thm)],[])).
% 27.61/18.13 tff(9106,plain,
% 27.61/18.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB63) | v130(constB63, 0) | (~v127(constB63, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB63, 0)) | v26(constB63) | v130(constB63, 0)))),
% 27.61/18.13 inference(monotonicity,[status(thm)],[9105])).
% 27.61/18.13 tff(9107,plain,
% 27.61/18.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB63) | v130(constB63, 0) | (~v127(constB63, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB63, 0)) | v26(constB63) | v130(constB63, 0))),
% 27.61/18.13 inference(transitivity,[status(thm)],[9106, 9104])).
% 27.61/18.13 tff(9108,plain,
% 27.61/18.13 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB63) | v130(constB63, 0) | (~v127(constB63, 0)))),
% 27.61/18.13 inference(quant_inst,[status(thm)],[])).
% 27.61/18.13 tff(9109,plain,
% 27.61/18.13 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB63, 0)) | v26(constB63) | v130(constB63, 0)),
% 27.61/18.13 inference(modus_ponens,[status(thm)],[9108, 9107])).
% 27.61/18.13 tff(9110,plain,
% 27.61/18.13 ((~v127(constB63, 0)) | v130(constB63, 0)),
% 27.61/18.13 inference(unit_resolution,[status(thm)],[9109, 933, 9023])).
% 27.61/18.13 tff(9111,plain,
% 27.61/18.13 (~v127(constB63, 0)),
% 27.61/18.13 inference(unit_resolution,[status(thm)],[9110, 9103])).
% 27.61/18.13 tff(9112,plain,
% 27.61/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB63, constB64)) | v127(constB63, 0) | (~v129(constB64, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB63, constB64)) | v127(constB63, 0) | (~v129(constB64, 0)))),
% 27.61/18.13 inference(rewrite,[status(thm)],[])).
% 27.61/18.13 tff(9113,plain,
% 27.61/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB63, constB64)) | v127(constB63, 0) | (~v129(constB64, 0)))),
% 27.61/18.13 inference(quant_inst,[status(thm)],[])).
% 27.61/18.13 tff(9114,plain,
% 27.61/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB63, constB64)) | v127(constB63, 0) | (~v129(constB64, 0))),
% 27.61/18.13 inference(modus_ponens,[status(thm)],[9113, 9112])).
% 27.61/18.13 tff(9115,plain,
% 27.61/18.13 (v127(constB63, 0) | (~v129(constB64, 0))),
% 27.61/18.13 inference(unit_resolution,[status(thm)],[9114, 951, 8981])).
% 27.61/18.13 tff(9116,plain,
% 27.61/18.13 (~v129(constB64, 0)),
% 27.61/18.13 inference(unit_resolution,[status(thm)],[9115, 9111])).
% 27.61/18.13 tff(9117,plain,
% 27.61/18.13 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB64, 0)) | v129(constB64, 0) | (~v100(constB64)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB64, 0)) | v129(constB64, 0) | (~v100(constB64)))),
% 27.61/18.13 inference(rewrite,[status(thm)],[])).
% 27.61/18.13 tff(9118,plain,
% 27.61/18.13 (((~v90(constB64, 0)) | (~v100(constB64)) | v129(constB64, 0)) <=> ((~v90(constB64, 0)) | v129(constB64, 0) | (~v100(constB64)))),
% 27.61/18.13 inference(rewrite,[status(thm)],[])).
% 27.61/18.13 tff(9119,plain,
% 27.61/18.13 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB64, 0)) | (~v100(constB64)) | v129(constB64, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB64, 0)) | v129(constB64, 0) | (~v100(constB64))))),
% 27.61/18.13 inference(monotonicity,[status(thm)],[9118])).
% 27.61/18.13 tff(9120,plain,
% 27.61/18.13 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB64, 0)) | (~v100(constB64)) | v129(constB64, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB64, 0)) | v129(constB64, 0) | (~v100(constB64)))),
% 27.61/18.13 inference(transitivity,[status(thm)],[9119, 9117])).
% 27.61/18.13 tff(9121,plain,
% 27.61/18.13 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB64, 0)) | (~v100(constB64)) | v129(constB64, 0))),
% 27.61/18.13 inference(quant_inst,[status(thm)],[])).
% 27.61/18.13 tff(9122,plain,
% 27.61/18.13 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB64, 0)) | v129(constB64, 0) | (~v100(constB64))),
% 27.61/18.13 inference(modus_ponens,[status(thm)],[9121, 9120])).
% 27.61/18.13 tff(9123,plain,
% 27.61/18.13 ((~v90(constB64, 0)) | (~v100(constB64))),
% 27.61/18.13 inference(unit_resolution,[status(thm)],[9122, 966, 9116])).
% 27.61/18.13 tff(9124,plain,
% 27.61/18.13 (~v90(constB64, 0)),
% 27.61/18.13 inference(unit_resolution,[status(thm)],[9123, 9015])).
% 27.61/18.13 tff(9125,plain,
% 27.61/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB64, 0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB64, 0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 0)))),
% 27.61/18.13 inference(rewrite,[status(thm)],[])).
% 27.61/18.13 tff(9126,plain,
% 27.61/18.13 (((~nextState(constB64, constB65)) | v90(constB64, 0) | v100(constB65) | (~v90(constB65, 0))) <=> (v90(constB64, 0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 0)))),
% 27.61/18.13 inference(rewrite,[status(thm)],[])).
% 27.61/18.13 tff(9127,plain,
% 27.61/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB64, constB65)) | v90(constB64, 0) | v100(constB65) | (~v90(constB65, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB64, 0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 0))))),
% 27.61/18.13 inference(monotonicity,[status(thm)],[9126])).
% 27.61/18.13 tff(9128,plain,
% 27.61/18.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB64, constB65)) | v90(constB64, 0) | v100(constB65) | (~v90(constB65, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB64, 0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 0)))),
% 27.61/18.13 inference(transitivity,[status(thm)],[9127, 9125])).
% 27.61/18.13 tff(9129,plain,
% 27.61/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB64, constB65)) | v90(constB64, 0) | v100(constB65) | (~v90(constB65, 0)))),
% 27.61/18.13 inference(quant_inst,[status(thm)],[])).
% 27.61/18.13 tff(9130,plain,
% 27.61/18.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB64, 0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 0))),
% 27.61/18.13 inference(modus_ponens,[status(thm)],[9129, 9128])).
% 27.61/18.13 tff(9131,plain,
% 27.61/18.13 (v90(constB64, 0) | v100(constB65) | (~v90(constB65, 0))),
% 27.61/18.13 inference(unit_resolution,[status(thm)],[9130, 212, 9047])).
% 27.61/18.13 tff(9132,plain,
% 27.61/18.13 (v90(constB64, 0) | (~v90(constB65, 0))),
% 27.61/18.13 inference(unit_resolution,[status(thm)],[9131, 9059])).
% 27.61/18.13 tff(9133,plain,
% 27.61/18.13 (~v90(constB65, 0)),
% 27.61/18.13 inference(unit_resolution,[status(thm)],[9132, 9124])).
% 27.61/18.13 tff(9134,plain,
% 27.61/18.13 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB65, 0) | (~v90(constB65, 1)) | v90(constB65, 2) | v121(constB65))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB65, 0) | (~v90(constB65, 1)) | v90(constB65, 2) | v121(constB65))),
% 27.61/18.13 inference(rewrite,[status(thm)],[])).
% 27.61/18.13 tff(9135,plain,
% 27.61/18.13 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB65, 0) | (~v90(constB65, 1)) | v90(constB65, 2) | v121(constB65))),
% 27.61/18.13 inference(quant_inst,[status(thm)],[])).
% 27.61/18.13 tff(9136,plain,
% 27.61/18.13 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB65, 0) | (~v90(constB65, 1)) | v90(constB65, 2) | v121(constB65)),
% 27.61/18.13 inference(modus_ponens,[status(thm)],[9135, 9134])).
% 27.61/18.13 tff(9137,plain,
% 27.61/18.13 (v121(constB65)),
% 27.61/18.13 inference(unit_resolution,[status(thm)],[9136, 993, 9133, 9099, 9068])).
% 27.61/18.13 tff(9138,plain,
% 27.61/18.13 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB65)) | v117(constB65))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB65)) | v117(constB65))),
% 27.61/18.13 inference(rewrite,[status(thm)],[])).
% 27.61/18.13 tff(9139,plain,
% 27.61/18.13 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB65)) | v117(constB65))),
% 27.61/18.13 inference(quant_inst,[status(thm)],[])).
% 27.61/18.13 tff(9140,plain,
% 27.61/18.13 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB65)) | v117(constB65)),
% 27.61/18.13 inference(modus_ponens,[status(thm)],[9139, 9138])).
% 27.61/18.13 tff(9141,plain,
% 27.61/18.13 (v117(constB65)),
% 27.61/18.13 inference(unit_resolution,[status(thm)],[9140, 1004, 9137])).
% 27.61/18.13 tff(9142,plain,
% 27.61/18.13 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB65) | (~v117(constB65)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB65) | (~v117(constB65)))),
% 27.61/18.13 inference(rewrite,[status(thm)],[])).
% 27.61/18.13 tff(9143,plain,
% 27.61/18.13 (((~v117(constB65)) | v116(constB65)) <=> (v116(constB65) | (~v117(constB65)))),
% 27.61/18.13 inference(rewrite,[status(thm)],[])).
% 27.61/18.13 tff(9144,plain,
% 27.61/18.13 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB65)) | v116(constB65))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB65) | (~v117(constB65))))),
% 27.61/18.13 inference(monotonicity,[status(thm)],[9143])).
% 27.61/18.13 tff(9145,plain,
% 27.61/18.13 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB65)) | v116(constB65))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB65) | (~v117(constB65)))),
% 27.61/18.13 inference(transitivity,[status(thm)],[9144, 9142])).
% 27.61/18.13 tff(9146,plain,
% 27.61/18.13 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB65)) | v116(constB65))),
% 27.61/18.13 inference(quant_inst,[status(thm)],[])).
% 27.61/18.13 tff(9147,plain,
% 27.61/18.13 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB65) | (~v117(constB65))),
% 27.61/18.13 inference(modus_ponens,[status(thm)],[9146, 9145])).
% 27.61/18.13 tff(9148,plain,
% 27.61/18.13 (v116(constB65)),
% 27.61/18.13 inference(unit_resolution,[status(thm)],[9147, 272, 9141])).
% 27.61/18.13 tff(9149,plain,
% 27.61/18.13 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB65) | (~v116(constB65)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB65) | (~v116(constB65)))),
% 27.61/18.13 inference(rewrite,[status(thm)],[])).
% 27.61/18.13 tff(9150,plain,
% 27.61/18.13 (((~v116(constB65)) | v115(constB65)) <=> (v115(constB65) | (~v116(constB65)))),
% 27.61/18.13 inference(rewrite,[status(thm)],[])).
% 27.61/18.13 tff(9151,plain,
% 27.61/18.13 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB65)) | v115(constB65))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB65) | (~v116(constB65))))),
% 27.61/18.13 inference(monotonicity,[status(thm)],[9150])).
% 27.61/18.13 tff(9152,plain,
% 27.61/18.13 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB65)) | v115(constB65))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB65) | (~v116(constB65)))),
% 27.61/18.13 inference(transitivity,[status(thm)],[9151, 9149])).
% 27.61/18.13 tff(9153,plain,
% 27.61/18.13 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB65)) | v115(constB65))),
% 27.61/18.13 inference(quant_inst,[status(thm)],[])).
% 27.61/18.13 tff(9154,plain,
% 27.61/18.13 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB65) | (~v116(constB65))),
% 27.61/18.13 inference(modus_ponens,[status(thm)],[9153, 9152])).
% 27.61/18.13 tff(9155,plain,
% 27.61/18.13 (v115(constB65)),
% 27.61/18.13 inference(unit_resolution,[status(thm)],[9154, 286, 9148])).
% 27.61/18.13 tff(9156,plain,
% 27.61/18.13 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB65) | (~v115(constB65)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB65) | (~v115(constB65)))),
% 27.61/18.13 inference(rewrite,[status(thm)],[])).
% 27.61/18.13 tff(9157,plain,
% 27.61/18.13 (((~v115(constB65)) | v114(constB65)) <=> (v114(constB65) | (~v115(constB65)))),
% 27.61/18.13 inference(rewrite,[status(thm)],[])).
% 27.61/18.13 tff(9158,plain,
% 27.61/18.13 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB65)) | v114(constB65))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB65) | (~v115(constB65))))),
% 27.61/18.13 inference(monotonicity,[status(thm)],[9157])).
% 27.61/18.13 tff(9159,plain,
% 27.61/18.13 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB65)) | v114(constB65))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB65) | (~v115(constB65)))),
% 27.61/18.13 inference(transitivity,[status(thm)],[9158, 9156])).
% 27.61/18.13 tff(9160,plain,
% 27.61/18.13 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB65)) | v114(constB65))),
% 27.61/18.13 inference(quant_inst,[status(thm)],[])).
% 27.61/18.13 tff(9161,plain,
% 27.61/18.13 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB65) | (~v115(constB65))),
% 27.61/18.13 inference(modus_ponens,[status(thm)],[9160, 9159])).
% 27.61/18.13 tff(9162,plain,
% 27.61/18.13 (v114(constB65)),
% 27.61/18.13 inference(unit_resolution,[status(thm)],[9161, 300, 9155])).
% 27.61/18.13 tff(9163,plain,
% 27.61/18.13 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB65) | (~v114(constB65)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB65) | (~v114(constB65)))),
% 27.61/18.13 inference(rewrite,[status(thm)],[])).
% 27.61/18.13 tff(9164,plain,
% 27.61/18.13 (((~v114(constB65)) | v113(constB65)) <=> (v113(constB65) | (~v114(constB65)))),
% 27.61/18.13 inference(rewrite,[status(thm)],[])).
% 27.61/18.13 tff(9165,plain,
% 27.61/18.13 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB65)) | v113(constB65))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB65) | (~v114(constB65))))),
% 27.61/18.13 inference(monotonicity,[status(thm)],[9164])).
% 27.61/18.13 tff(9166,plain,
% 27.61/18.13 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB65)) | v113(constB65))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB65) | (~v114(constB65)))),
% 27.61/18.14 inference(transitivity,[status(thm)],[9165, 9163])).
% 27.61/18.14 tff(9167,plain,
% 27.61/18.14 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB65)) | v113(constB65))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9168,plain,
% 27.61/18.14 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB65) | (~v114(constB65))),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9167, 9166])).
% 27.61/18.14 tff(9169,plain,
% 27.61/18.14 (v113(constB65)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9168, 314, 9162])).
% 27.61/18.14 tff(9170,assumption,(v26(constB65)), introduced(assumption)).
% 27.61/18.14 tff(9171,plain,
% 27.61/18.14 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB65))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9172,plain,
% 27.61/18.14 ($false),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9171, 95, 9170])).
% 27.61/18.14 tff(9173,plain,(~v26(constB65)), inference(lemma,lemma(discharge,[]))).
% 27.61/18.14 tff(9174,plain,
% 27.61/18.14 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | (~v113(constB65)) | v112(constB65))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9175,plain,
% 27.61/18.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9176,plain,
% 27.61/18.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | (~v113(constB65)) | v112(constB65)),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9175, 9174])).
% 27.61/18.14 tff(9177,plain,
% 27.61/18.14 ((~v113(constB65)) | v112(constB65)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9176, 328, 9173])).
% 27.61/18.14 tff(9178,plain,
% 27.61/18.14 (v112(constB65)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9177, 9169])).
% 27.61/18.14 tff(9179,plain,
% 27.61/18.14 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB65) | (~v112(constB65)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB65) | (~v112(constB65)))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9180,plain,
% 27.61/18.14 (((~v112(constB65)) | v108(constB65)) <=> (v108(constB65) | (~v112(constB65)))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9181,plain,
% 27.61/18.14 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB65)) | v108(constB65))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB65) | (~v112(constB65))))),
% 27.61/18.14 inference(monotonicity,[status(thm)],[9180])).
% 27.61/18.14 tff(9182,plain,
% 27.61/18.14 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB65)) | v108(constB65))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB65) | (~v112(constB65)))),
% 27.61/18.14 inference(transitivity,[status(thm)],[9181, 9179])).
% 27.61/18.14 tff(9183,plain,
% 27.61/18.14 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB65)) | v108(constB65))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9184,plain,
% 27.61/18.14 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB65) | (~v112(constB65))),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9183, 9182])).
% 27.61/18.14 tff(9185,plain,
% 27.61/18.14 (v108(constB65)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9184, 340, 9178])).
% 27.61/18.14 tff(9186,plain,
% 27.61/18.14 (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9187,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_65_1')).
% 27.61/18.14 tff(9188,plain,
% 27.61/18.14 (nextState(constB65, constB66)),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9187, 9186])).
% 27.61/18.14 tff(9189,plain,
% 27.61/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9190,plain,
% 27.61/18.14 (((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66)) <=> ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9191,plain,
% 27.61/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65))))),
% 27.61/18.14 inference(monotonicity,[status(thm)],[9190])).
% 27.61/18.14 tff(9192,plain,
% 27.61/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 27.61/18.14 inference(transitivity,[status(thm)],[9191, 9189])).
% 27.61/18.14 tff(9193,plain,
% 27.61/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9194,plain,
% 27.61/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65))),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9193, 9192])).
% 27.61/18.14 tff(9195,plain,
% 27.61/18.14 (v110(constB66) | (~v108(constB65))),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9194, 360, 9188])).
% 27.61/18.14 tff(9196,plain,
% 27.61/18.14 (v110(constB66)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9195, 9185])).
% 27.61/18.14 tff(9197,plain,
% 27.61/18.14 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9198,plain,
% 27.61/18.14 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9199,plain,
% 27.61/18.14 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66))),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9198, 9197])).
% 27.61/18.14 tff(9200,plain,
% 27.61/18.14 (~v104(constB66)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9199, 378, 9188, 9044])).
% 27.61/18.14 tff(9201,plain,
% 27.61/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9202,plain,
% 27.61/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9203,plain,
% 27.61/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB65, constB66)) | v102(constB66) | v104(constB66)),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9202, 9201])).
% 27.61/18.14 tff(9204,plain,
% 27.61/18.14 (v102(constB66) | v104(constB66)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9203, 392, 9188])).
% 27.61/18.14 tff(9205,plain,
% 27.61/18.14 (v102(constB66)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9204, 9200])).
% 27.61/18.14 tff(9206,plain,
% 27.61/18.14 (v1(constB66) <=> v1(constB66)),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9207,axiom,(v1(constB66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_66_1')).
% 27.61/18.14 tff(9208,plain,
% 27.61/18.14 (v1(constB66)),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9207, 9206])).
% 27.61/18.14 tff(9209,plain,
% 27.61/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9210,plain,
% 27.61/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9211,plain,
% 27.61/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66))),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9210, 9209])).
% 27.61/18.14 tff(9212,plain,
% 27.61/18.14 (v101(constB66) | (~v102(constB66))),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9211, 410, 9188, 9208])).
% 27.61/18.14 tff(9213,plain,
% 27.61/18.14 (v101(constB66)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9212, 9205])).
% 27.61/18.14 tff(9214,plain,
% 27.61/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9215,plain,
% 27.61/18.14 (((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66)) <=> ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9216,plain,
% 27.61/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66))))),
% 27.61/18.14 inference(monotonicity,[status(thm)],[9215])).
% 27.61/18.14 tff(9217,plain,
% 27.61/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 27.61/18.14 inference(transitivity,[status(thm)],[9216, 9214])).
% 27.61/18.14 tff(9218,plain,
% 27.61/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9219,plain,
% 27.61/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66))),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9218, 9217])).
% 27.61/18.14 tff(9220,plain,
% 27.61/18.14 (v100(constB66) | (~v101(constB66)) | (~v110(constB66))),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9219, 425, 9188])).
% 27.61/18.14 tff(9221,plain,
% 27.61/18.14 (v100(constB66) | (~v110(constB66))),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9220, 9213])).
% 27.61/18.14 tff(9222,plain,
% 27.61/18.14 (v100(constB66)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9221, 9196])).
% 27.61/18.14 tff(9223,plain,
% 27.61/18.14 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB65)) | (~v130(constB65, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB65)) | (~v130(constB65, 2)))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9224,plain,
% 27.61/18.14 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB65)) | (~v130(constB65, 2)))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9225,plain,
% 27.61/18.14 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB65)) | (~v130(constB65, 2))),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9224, 9223])).
% 27.61/18.14 tff(9226,plain,
% 27.61/18.14 (~v130(constB65, 2)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9225, 1155, 9137])).
% 27.61/18.14 tff(9227,plain,
% 27.61/18.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB65, 2)) | v26(constB65) | v130(constB65, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB65, 2)) | v26(constB65) | v130(constB65, 2))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9228,plain,
% 27.61/18.14 ((v26(constB65) | v130(constB65, 2) | (~v127(constB65, 2))) <=> ((~v127(constB65, 2)) | v26(constB65) | v130(constB65, 2))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9229,plain,
% 27.61/18.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB65) | v130(constB65, 2) | (~v127(constB65, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB65, 2)) | v26(constB65) | v130(constB65, 2)))),
% 27.61/18.14 inference(monotonicity,[status(thm)],[9228])).
% 27.61/18.14 tff(9230,plain,
% 27.61/18.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB65) | v130(constB65, 2) | (~v127(constB65, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB65, 2)) | v26(constB65) | v130(constB65, 2))),
% 27.61/18.14 inference(transitivity,[status(thm)],[9229, 9227])).
% 27.61/18.14 tff(9231,plain,
% 27.61/18.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB65) | v130(constB65, 2) | (~v127(constB65, 2)))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9232,plain,
% 27.61/18.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB65, 2)) | v26(constB65) | v130(constB65, 2)),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9231, 9230])).
% 27.61/18.14 tff(9233,plain,
% 27.61/18.14 ((~v127(constB65, 2)) | v130(constB65, 2)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9232, 455, 9173])).
% 27.61/18.14 tff(9234,plain,
% 27.61/18.14 (~v127(constB65, 2)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9233, 9226])).
% 27.61/18.14 tff(9235,plain,
% 27.61/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB65, constB66)) | v127(constB65, 2) | (~v129(constB66, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB65, constB66)) | v127(constB65, 2) | (~v129(constB66, 2)))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9236,plain,
% 27.61/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB65, constB66)) | v127(constB65, 2) | (~v129(constB66, 2)))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9237,plain,
% 27.61/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB65, constB66)) | v127(constB65, 2) | (~v129(constB66, 2))),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9236, 9235])).
% 27.61/18.14 tff(9238,plain,
% 27.61/18.14 (v127(constB65, 2) | (~v129(constB66, 2))),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9237, 473, 9188])).
% 27.61/18.14 tff(9239,plain,
% 27.61/18.14 (~v129(constB66, 2)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9238, 9234])).
% 27.61/18.14 tff(9240,plain,
% 27.61/18.14 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB66, 2)) | v129(constB66, 2) | (~v100(constB66)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB66, 2)) | v129(constB66, 2) | (~v100(constB66)))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9241,plain,
% 27.61/18.14 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB66, 2)) | v129(constB66, 2) | (~v100(constB66)))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9242,plain,
% 27.61/18.14 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB66, 2)) | v129(constB66, 2) | (~v100(constB66))),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9241, 9240])).
% 27.61/18.14 tff(9243,plain,
% 27.61/18.14 ((~v90(constB66, 2)) | (~v100(constB66))),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9242, 488, 9239])).
% 27.61/18.14 tff(9244,plain,
% 27.61/18.14 (~v90(constB66, 2)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9243, 9222])).
% 27.61/18.14 tff(9245,plain,
% 27.61/18.14 ((~v1(constB67)) <=> (~v1(constB67))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9246,axiom,(~v1(constB67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_67_1_1')).
% 27.61/18.14 tff(9247,plain,
% 27.61/18.14 (~v1(constB67)),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9246, 9245])).
% 27.61/18.14 tff(9248,plain,
% 27.61/18.14 (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9249,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_66_1')).
% 27.61/18.14 tff(9250,plain,
% 27.61/18.14 (nextState(constB66, constB67)),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9249, 9248])).
% 27.61/18.14 tff(9251,plain,
% 27.61/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9252,plain,
% 27.61/18.14 (((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67)) <=> (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9253,plain,
% 27.61/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67))))),
% 27.61/18.14 inference(monotonicity,[status(thm)],[9252])).
% 27.61/18.14 tff(9254,plain,
% 27.61/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 27.61/18.14 inference(transitivity,[status(thm)],[9253, 9251])).
% 27.61/18.14 tff(9255,plain,
% 27.61/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9256,plain,
% 27.61/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67))),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9255, 9254])).
% 27.61/18.14 tff(9257,plain,
% 27.61/18.14 (~v101(constB67)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9256, 138, 9250, 9247])).
% 27.61/18.14 tff(9258,plain,
% 27.61/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9259,plain,
% 27.61/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9260,plain,
% 27.61/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67))),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9259, 9258])).
% 27.61/18.14 tff(9261,plain,
% 27.61/18.14 (v101(constB67) | (~v100(constB67))),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9260, 155, 9250])).
% 27.61/18.14 tff(9262,plain,
% 27.61/18.14 (~v100(constB67)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9261, 9257])).
% 27.61/18.14 tff(9263,plain,
% 27.61/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB66, 2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB66, 2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, 2)))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9264,plain,
% 27.61/18.14 (((~nextState(constB66, constB67)) | v90(constB66, 2) | v100(constB67) | (~v90(constB67, 2))) <=> (v90(constB66, 2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, 2)))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9265,plain,
% 27.61/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB66, constB67)) | v90(constB66, 2) | v100(constB67) | (~v90(constB67, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB66, 2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, 2))))),
% 27.61/18.14 inference(monotonicity,[status(thm)],[9264])).
% 27.61/18.14 tff(9266,plain,
% 27.61/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB66, constB67)) | v90(constB66, 2) | v100(constB67) | (~v90(constB67, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB66, 2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, 2)))),
% 27.61/18.14 inference(transitivity,[status(thm)],[9265, 9263])).
% 27.61/18.14 tff(9267,plain,
% 27.61/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB66, constB67)) | v90(constB66, 2) | v100(constB67) | (~v90(constB67, 2)))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9268,plain,
% 27.61/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB66, 2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, 2))),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9267, 9266])).
% 27.61/18.14 tff(9269,plain,
% 27.61/18.14 (v90(constB66, 2) | v100(constB67) | (~v90(constB67, 2))),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9268, 170, 9250])).
% 27.61/18.14 tff(9270,plain,
% 27.61/18.14 (v90(constB66, 2) | (~v90(constB67, 2))),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9269, 9262])).
% 27.61/18.14 tff(9271,plain,
% 27.61/18.14 (~v90(constB67, 2)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9270, 9244])).
% 27.61/18.14 tff(9272,plain,
% 27.61/18.14 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB65)) | v130(constB65, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB65)) | v130(constB65, 1))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9273,plain,
% 27.61/18.14 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB65)) | v130(constB65, 1))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9274,plain,
% 27.61/18.14 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB65)) | v130(constB65, 1)),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9273, 9272])).
% 27.61/18.14 tff(9275,plain,
% 27.61/18.14 (v130(constB65, 1)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9274, 1235, 9137])).
% 27.61/18.14 tff(9276,plain,
% 27.61/18.14 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB65) | (~v130(constB65, 1)) | v127(constB65, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB65) | (~v130(constB65, 1)) | v127(constB65, 1))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9277,plain,
% 27.61/18.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB65) | (~v130(constB65, 1)) | v127(constB65, 1))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9278,plain,
% 27.61/18.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB65) | (~v130(constB65, 1)) | v127(constB65, 1)),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9277, 9276])).
% 27.61/18.14 tff(9279,plain,
% 27.61/18.14 ((~v130(constB65, 1)) | v127(constB65, 1)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9278, 855, 9173])).
% 27.61/18.14 tff(9280,plain,
% 27.61/18.14 (v127(constB65, 1)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9279, 9275])).
% 27.61/18.14 tff(9281,plain,
% 27.61/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB65, constB66)) | (~v127(constB65, 1)) | v129(constB66, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB65, constB66)) | (~v127(constB65, 1)) | v129(constB66, 1))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9282,plain,
% 27.61/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB65, constB66)) | (~v127(constB65, 1)) | v129(constB66, 1))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9283,plain,
% 27.61/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB65, constB66)) | (~v127(constB65, 1)) | v129(constB66, 1)),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9282, 9281])).
% 27.61/18.14 tff(9284,plain,
% 27.61/18.14 ((~v127(constB65, 1)) | v129(constB66, 1)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9283, 870, 9188])).
% 27.61/18.14 tff(9285,plain,
% 27.61/18.14 (v129(constB66, 1)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9284, 9280])).
% 27.61/18.14 tff(9286,plain,
% 27.61/18.14 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB66, 1) | (~v129(constB66, 1)) | (~v100(constB66)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB66, 1) | (~v129(constB66, 1)) | (~v100(constB66)))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9287,plain,
% 27.61/18.14 ((v90(constB66, 1) | (~v100(constB66)) | (~v129(constB66, 1))) <=> (v90(constB66, 1) | (~v129(constB66, 1)) | (~v100(constB66)))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9288,plain,
% 27.61/18.14 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB66, 1) | (~v100(constB66)) | (~v129(constB66, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB66, 1) | (~v129(constB66, 1)) | (~v100(constB66))))),
% 27.61/18.14 inference(monotonicity,[status(thm)],[9287])).
% 27.61/18.14 tff(9289,plain,
% 27.61/18.14 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB66, 1) | (~v100(constB66)) | (~v129(constB66, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB66, 1) | (~v129(constB66, 1)) | (~v100(constB66)))),
% 27.61/18.14 inference(transitivity,[status(thm)],[9288, 9286])).
% 27.61/18.14 tff(9290,plain,
% 27.61/18.14 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB66, 1) | (~v100(constB66)) | (~v129(constB66, 1)))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9291,plain,
% 27.61/18.14 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB66, 1) | (~v129(constB66, 1)) | (~v100(constB66))),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9290, 9289])).
% 27.61/18.14 tff(9292,plain,
% 27.61/18.14 (v90(constB66, 1) | (~v100(constB66))),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9291, 885, 9285])).
% 27.61/18.14 tff(9293,plain,
% 27.61/18.14 (v90(constB66, 1)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9292, 9222])).
% 27.61/18.14 tff(9294,plain,
% 27.61/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB66, 1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB66, 1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 1))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9295,plain,
% 27.61/18.14 (((~nextState(constB66, constB67)) | (~v90(constB66, 1)) | v100(constB67) | v90(constB67, 1)) <=> ((~v90(constB66, 1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 1))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9296,plain,
% 27.61/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB66, constB67)) | (~v90(constB66, 1)) | v100(constB67) | v90(constB67, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB66, 1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 1)))),
% 27.61/18.14 inference(monotonicity,[status(thm)],[9295])).
% 27.61/18.14 tff(9297,plain,
% 27.61/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB66, constB67)) | (~v90(constB66, 1)) | v100(constB67) | v90(constB67, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB66, 1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 1))),
% 27.61/18.14 inference(transitivity,[status(thm)],[9296, 9294])).
% 27.61/18.14 tff(9298,plain,
% 27.61/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB66, constB67)) | (~v90(constB66, 1)) | v100(constB67) | v90(constB67, 1))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9299,plain,
% 27.61/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB66, 1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 1)),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9298, 9297])).
% 27.61/18.14 tff(9300,plain,
% 27.61/18.14 ((~v90(constB66, 1)) | v100(constB67) | v90(constB67, 1)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9299, 903, 9250])).
% 27.61/18.14 tff(9301,plain,
% 27.61/18.14 ((~v90(constB66, 1)) | v90(constB67, 1)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9300, 9262])).
% 27.61/18.14 tff(9302,plain,
% 27.61/18.14 (v90(constB67, 1)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9301, 9293])).
% 27.61/18.14 tff(9303,plain,
% 27.61/18.14 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB65)) | v130(constB65, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB65)) | v130(constB65, 0))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9304,plain,
% 27.61/18.14 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB65)) | v130(constB65, 0))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9305,plain,
% 27.61/18.14 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB65)) | v130(constB65, 0)),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9304, 9303])).
% 27.61/18.14 tff(9306,plain,
% 27.61/18.14 (v130(constB65, 0)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9305, 1099, 9137])).
% 27.61/18.14 tff(9307,plain,
% 27.61/18.14 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB65) | (~v130(constB65, 0)) | v127(constB65, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB65) | (~v130(constB65, 0)) | v127(constB65, 0))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9308,plain,
% 27.61/18.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB65) | (~v130(constB65, 0)) | v127(constB65, 0))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9309,plain,
% 27.61/18.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB65) | (~v130(constB65, 0)) | v127(constB65, 0)),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9308, 9307])).
% 27.61/18.14 tff(9310,plain,
% 27.61/18.14 ((~v130(constB65, 0)) | v127(constB65, 0)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9309, 612, 9173])).
% 27.61/18.14 tff(9311,plain,
% 27.61/18.14 (v127(constB65, 0)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9310, 9306])).
% 27.61/18.14 tff(9312,plain,
% 27.61/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB65, constB66)) | (~v127(constB65, 0)) | v129(constB66, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB65, constB66)) | (~v127(constB65, 0)) | v129(constB66, 0))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9313,plain,
% 27.61/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB65, constB66)) | (~v127(constB65, 0)) | v129(constB66, 0))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9314,plain,
% 27.61/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB65, constB66)) | (~v127(constB65, 0)) | v129(constB66, 0)),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9313, 9312])).
% 27.61/18.14 tff(9315,plain,
% 27.61/18.14 ((~v127(constB65, 0)) | v129(constB66, 0)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9314, 627, 9188])).
% 27.61/18.14 tff(9316,plain,
% 27.61/18.14 (v129(constB66, 0)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9315, 9311])).
% 27.61/18.14 tff(9317,plain,
% 27.61/18.14 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB66, 0) | (~v129(constB66, 0)) | (~v100(constB66)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB66, 0) | (~v129(constB66, 0)) | (~v100(constB66)))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9318,plain,
% 27.61/18.14 ((v90(constB66, 0) | (~v100(constB66)) | (~v129(constB66, 0))) <=> (v90(constB66, 0) | (~v129(constB66, 0)) | (~v100(constB66)))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9319,plain,
% 27.61/18.14 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB66, 0) | (~v100(constB66)) | (~v129(constB66, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB66, 0) | (~v129(constB66, 0)) | (~v100(constB66))))),
% 27.61/18.14 inference(monotonicity,[status(thm)],[9318])).
% 27.61/18.14 tff(9320,plain,
% 27.61/18.14 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB66, 0) | (~v100(constB66)) | (~v129(constB66, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB66, 0) | (~v129(constB66, 0)) | (~v100(constB66)))),
% 27.61/18.14 inference(transitivity,[status(thm)],[9319, 9317])).
% 27.61/18.14 tff(9321,plain,
% 27.61/18.14 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB66, 0) | (~v100(constB66)) | (~v129(constB66, 0)))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9322,plain,
% 27.61/18.14 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB66, 0) | (~v129(constB66, 0)) | (~v100(constB66))),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9321, 9320])).
% 27.61/18.14 tff(9323,plain,
% 27.61/18.14 (v90(constB66, 0) | (~v100(constB66))),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9322, 642, 9316])).
% 27.61/18.14 tff(9324,plain,
% 27.61/18.14 (v90(constB66, 0)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9323, 9222])).
% 27.61/18.14 tff(9325,plain,
% 27.61/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB66, 0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB66, 0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 0))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9326,plain,
% 27.61/18.14 (((~nextState(constB66, constB67)) | (~v90(constB66, 0)) | v100(constB67) | v90(constB67, 0)) <=> ((~v90(constB66, 0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 0))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9327,plain,
% 27.61/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, 0)) | v100(constB67) | v90(constB67, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB66, 0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 0)))),
% 27.61/18.14 inference(monotonicity,[status(thm)],[9326])).
% 27.61/18.14 tff(9328,plain,
% 27.61/18.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, 0)) | v100(constB67) | v90(constB67, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB66, 0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 0))),
% 27.61/18.14 inference(transitivity,[status(thm)],[9327, 9325])).
% 27.61/18.14 tff(9329,plain,
% 27.61/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, 0)) | v100(constB67) | v90(constB67, 0))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9330,plain,
% 27.61/18.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB66, 0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 0)),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9329, 9328])).
% 27.61/18.14 tff(9331,plain,
% 27.61/18.14 ((~v90(constB66, 0)) | v100(constB67) | v90(constB67, 0)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9330, 660, 9250])).
% 27.61/18.14 tff(9332,plain,
% 27.61/18.14 ((~v90(constB66, 0)) | v90(constB67, 0)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9331, 9262])).
% 27.61/18.14 tff(9333,plain,
% 27.61/18.14 (v90(constB67, 0)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9332, 9324])).
% 27.61/18.14 tff(9334,plain,
% 27.61/18.14 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB67, 0)) | (~v90(constB67, 1)) | v90(constB67, 2) | v122(constB67))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB67, 0)) | (~v90(constB67, 1)) | v90(constB67, 2) | v122(constB67))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9335,plain,
% 27.61/18.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB67, 0)) | (~v90(constB67, 1)) | v90(constB67, 2) | v122(constB67))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9336,plain,
% 27.61/18.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB67, 0)) | (~v90(constB67, 1)) | v90(constB67, 2) | v122(constB67)),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9335, 9334])).
% 27.61/18.14 tff(9337,plain,
% 27.61/18.14 (v122(constB67)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9336, 1260, 9333, 9302, 9271])).
% 27.61/18.14 tff(9338,plain,
% 27.61/18.14 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB67)) | v116(constB67))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB67)) | v116(constB67))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9339,plain,
% 27.61/18.14 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB67)) | v116(constB67))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9340,plain,
% 27.61/18.14 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB67)) | v116(constB67)),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9339, 9338])).
% 27.61/18.14 tff(9341,plain,
% 27.61/18.14 (v116(constB67)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9340, 1272, 9337])).
% 27.61/18.14 tff(9342,plain,
% 27.61/18.14 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB67) | (~v116(constB67)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB67) | (~v116(constB67)))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9343,plain,
% 27.61/18.14 (((~v116(constB67)) | v115(constB67)) <=> (v115(constB67) | (~v116(constB67)))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9344,plain,
% 27.61/18.14 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB67)) | v115(constB67))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB67) | (~v116(constB67))))),
% 27.61/18.14 inference(monotonicity,[status(thm)],[9343])).
% 27.61/18.14 tff(9345,plain,
% 27.61/18.14 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB67)) | v115(constB67))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB67) | (~v116(constB67)))),
% 27.61/18.14 inference(transitivity,[status(thm)],[9344, 9342])).
% 27.61/18.14 tff(9346,plain,
% 27.61/18.14 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB67)) | v115(constB67))),
% 27.61/18.14 inference(quant_inst,[status(thm)],[])).
% 27.61/18.14 tff(9347,plain,
% 27.61/18.14 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB67) | (~v116(constB67))),
% 27.61/18.14 inference(modus_ponens,[status(thm)],[9346, 9345])).
% 27.61/18.14 tff(9348,plain,
% 27.61/18.14 (v115(constB67)),
% 27.61/18.14 inference(unit_resolution,[status(thm)],[9347, 286, 9341])).
% 27.61/18.14 tff(9349,plain,
% 27.61/18.14 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB67) | (~v115(constB67)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB67) | (~v115(constB67)))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9350,plain,
% 27.61/18.14 (((~v115(constB67)) | v114(constB67)) <=> (v114(constB67) | (~v115(constB67)))),
% 27.61/18.14 inference(rewrite,[status(thm)],[])).
% 27.61/18.14 tff(9351,plain,
% 27.61/18.14 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB67)) | v114(constB67))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB67) | (~v115(constB67))))),
% 27.61/18.14 inference(monotonicity,[status(thm)],[9350])).
% 27.61/18.14 tff(9352,plain,
% 27.61/18.14 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB67)) | v114(constB67))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB67) | (~v115(constB67)))),
% 27.61/18.14 inference(transitivity,[status(thm)],[9351, 9349])).
% 27.61/18.14 tff(9353,plain,
% 27.61/18.14 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB67)) | v114(constB67))),
% 27.61/18.15 inference(quant_inst,[status(thm)],[])).
% 27.61/18.15 tff(9354,plain,
% 27.61/18.15 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB67) | (~v115(constB67))),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9353, 9352])).
% 27.61/18.15 tff(9355,plain,
% 27.61/18.15 (v114(constB67)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9354, 300, 9348])).
% 27.61/18.15 tff(9356,plain,
% 27.61/18.15 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB67) | (~v114(constB67)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB67) | (~v114(constB67)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9357,plain,
% 27.61/18.15 (((~v114(constB67)) | v113(constB67)) <=> (v113(constB67) | (~v114(constB67)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9358,plain,
% 27.61/18.15 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB67)) | v113(constB67))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB67) | (~v114(constB67))))),
% 27.61/18.15 inference(monotonicity,[status(thm)],[9357])).
% 27.61/18.15 tff(9359,plain,
% 27.61/18.15 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB67)) | v113(constB67))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB67) | (~v114(constB67)))),
% 27.61/18.15 inference(transitivity,[status(thm)],[9358, 9356])).
% 27.61/18.15 tff(9360,plain,
% 27.61/18.15 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB67)) | v113(constB67))),
% 27.61/18.15 inference(quant_inst,[status(thm)],[])).
% 27.61/18.15 tff(9361,plain,
% 27.61/18.15 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB67) | (~v114(constB67))),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9360, 9359])).
% 27.61/18.15 tff(9362,plain,
% 27.61/18.15 (v113(constB67)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9361, 314, 9355])).
% 27.61/18.15 tff(9363,assumption,(v26(constB67)), introduced(assumption)).
% 27.61/18.15 tff(9364,plain,
% 27.61/18.15 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB67))),
% 27.61/18.15 inference(quant_inst,[status(thm)],[])).
% 27.61/18.15 tff(9365,plain,
% 27.61/18.15 ($false),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9364, 95, 9363])).
% 27.61/18.15 tff(9366,plain,(~v26(constB67)), inference(lemma,lemma(discharge,[]))).
% 27.61/18.15 tff(9367,plain,
% 27.61/18.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | v112(constB67) | (~v113(constB67)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | v112(constB67) | (~v113(constB67)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9368,plain,
% 27.61/18.15 ((v26(constB67) | (~v113(constB67)) | v112(constB67)) <=> (v26(constB67) | v112(constB67) | (~v113(constB67)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9369,plain,
% 27.61/18.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | v112(constB67) | (~v113(constB67))))),
% 27.61/18.15 inference(monotonicity,[status(thm)],[9368])).
% 27.61/18.15 tff(9370,plain,
% 27.61/18.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | v112(constB67) | (~v113(constB67)))),
% 27.61/18.15 inference(transitivity,[status(thm)],[9369, 9367])).
% 27.61/18.15 tff(9371,plain,
% 27.61/18.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))),
% 27.61/18.15 inference(quant_inst,[status(thm)],[])).
% 27.61/18.15 tff(9372,plain,
% 27.61/18.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | v112(constB67) | (~v113(constB67))),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9371, 9370])).
% 27.61/18.15 tff(9373,plain,
% 27.61/18.15 (v112(constB67) | (~v113(constB67))),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9372, 328, 9366])).
% 27.61/18.15 tff(9374,plain,
% 27.61/18.15 (v112(constB67)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9373, 9362])).
% 27.61/18.15 tff(9375,plain,
% 27.61/18.15 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB67) | (~v112(constB67)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB67) | (~v112(constB67)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9376,plain,
% 27.61/18.15 (((~v112(constB67)) | v108(constB67)) <=> (v108(constB67) | (~v112(constB67)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9377,plain,
% 27.61/18.15 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB67)) | v108(constB67))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB67) | (~v112(constB67))))),
% 27.61/18.15 inference(monotonicity,[status(thm)],[9376])).
% 27.61/18.15 tff(9378,plain,
% 27.61/18.15 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB67)) | v108(constB67))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB67) | (~v112(constB67)))),
% 27.61/18.15 inference(transitivity,[status(thm)],[9377, 9375])).
% 27.61/18.15 tff(9379,plain,
% 27.61/18.15 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB67)) | v108(constB67))),
% 27.61/18.15 inference(quant_inst,[status(thm)],[])).
% 27.61/18.15 tff(9380,plain,
% 27.61/18.15 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB67) | (~v112(constB67))),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9379, 9378])).
% 27.61/18.15 tff(9381,plain,
% 27.61/18.15 (v108(constB67)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9380, 340, 9374])).
% 27.61/18.15 tff(9382,plain,
% 27.61/18.15 (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9383,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_67_1')).
% 27.61/18.15 tff(9384,plain,
% 27.61/18.15 (nextState(constB67, constB68)),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9383, 9382])).
% 27.61/18.15 tff(9385,plain,
% 27.61/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9386,plain,
% 27.61/18.15 (((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68)) <=> ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9387,plain,
% 27.61/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67))))),
% 27.61/18.15 inference(monotonicity,[status(thm)],[9386])).
% 27.61/18.15 tff(9388,plain,
% 27.61/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 27.61/18.15 inference(transitivity,[status(thm)],[9387, 9385])).
% 27.61/18.15 tff(9389,plain,
% 27.61/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))),
% 27.61/18.15 inference(quant_inst,[status(thm)],[])).
% 27.61/18.15 tff(9390,plain,
% 27.61/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67))),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9389, 9388])).
% 27.61/18.15 tff(9391,plain,
% 27.61/18.15 (v110(constB68) | (~v108(constB67))),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9390, 360, 9384])).
% 27.61/18.15 tff(9392,plain,
% 27.61/18.15 (v110(constB68)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9391, 9381])).
% 27.61/18.15 tff(9393,plain,
% 27.61/18.15 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9394,plain,
% 27.61/18.15 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))),
% 27.61/18.15 inference(quant_inst,[status(thm)],[])).
% 27.61/18.15 tff(9395,plain,
% 27.61/18.15 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68))),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9394, 9393])).
% 27.61/18.15 tff(9396,plain,
% 27.61/18.15 (~v104(constB68)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9395, 378, 9384, 9247])).
% 27.61/18.15 tff(9397,plain,
% 27.61/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9398,plain,
% 27.61/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))),
% 27.61/18.15 inference(quant_inst,[status(thm)],[])).
% 27.61/18.15 tff(9399,plain,
% 27.61/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB67, constB68)) | v102(constB68) | v104(constB68)),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9398, 9397])).
% 27.61/18.15 tff(9400,plain,
% 27.61/18.15 (v102(constB68) | v104(constB68)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9399, 392, 9384])).
% 27.61/18.15 tff(9401,plain,
% 27.61/18.15 (v102(constB68)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9400, 9396])).
% 27.61/18.15 tff(9402,plain,
% 27.61/18.15 (v1(constB68) <=> v1(constB68)),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9403,axiom,(v1(constB68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_68_1')).
% 27.61/18.15 tff(9404,plain,
% 27.61/18.15 (v1(constB68)),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9403, 9402])).
% 27.61/18.15 tff(9405,plain,
% 27.61/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9406,plain,
% 27.61/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))),
% 27.61/18.15 inference(quant_inst,[status(thm)],[])).
% 27.61/18.15 tff(9407,plain,
% 27.61/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68))),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9406, 9405])).
% 27.61/18.15 tff(9408,plain,
% 27.61/18.15 (v101(constB68) | (~v102(constB68))),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9407, 410, 9384, 9404])).
% 27.61/18.15 tff(9409,plain,
% 27.61/18.15 (v101(constB68)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9408, 9401])).
% 27.61/18.15 tff(9410,plain,
% 27.61/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9411,plain,
% 27.61/18.15 (((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68)) <=> ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9412,plain,
% 27.61/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68))))),
% 27.61/18.15 inference(monotonicity,[status(thm)],[9411])).
% 27.61/18.15 tff(9413,plain,
% 27.61/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 27.61/18.15 inference(transitivity,[status(thm)],[9412, 9410])).
% 27.61/18.15 tff(9414,plain,
% 27.61/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))),
% 27.61/18.15 inference(quant_inst,[status(thm)],[])).
% 27.61/18.15 tff(9415,plain,
% 27.61/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68))),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9414, 9413])).
% 27.61/18.15 tff(9416,plain,
% 27.61/18.15 (v100(constB68) | (~v101(constB68)) | (~v110(constB68))),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9415, 425, 9384])).
% 27.61/18.15 tff(9417,plain,
% 27.61/18.15 (v100(constB68) | (~v110(constB68))),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9416, 9409])).
% 27.61/18.15 tff(9418,plain,
% 27.61/18.15 (v100(constB68)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9417, 9392])).
% 27.61/18.15 tff(9419,plain,
% 27.61/18.15 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB67)) | v130(constB67, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB67)) | v130(constB67, 2))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9420,plain,
% 27.61/18.15 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB67)) | v130(constB67, 2))),
% 27.61/18.15 inference(quant_inst,[status(thm)],[])).
% 27.61/18.15 tff(9421,plain,
% 27.61/18.15 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB67)) | v130(constB67, 2)),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9420, 9419])).
% 27.61/18.15 tff(9422,plain,
% 27.61/18.15 (v130(constB67, 2)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9421, 1484, 9337])).
% 27.61/18.15 tff(9423,plain,
% 27.61/18.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB67) | (~v130(constB67, 2)) | v127(constB67, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB67) | (~v130(constB67, 2)) | v127(constB67, 2))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9424,plain,
% 27.61/18.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB67) | (~v130(constB67, 2)) | v127(constB67, 2))),
% 27.61/18.15 inference(quant_inst,[status(thm)],[])).
% 27.61/18.15 tff(9425,plain,
% 27.61/18.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB67) | (~v130(constB67, 2)) | v127(constB67, 2)),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9424, 9423])).
% 27.61/18.15 tff(9426,plain,
% 27.61/18.15 ((~v130(constB67, 2)) | v127(constB67, 2)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9425, 1498, 9366])).
% 27.61/18.15 tff(9427,plain,
% 27.61/18.15 (v127(constB67, 2)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9426, 9422])).
% 27.61/18.15 tff(9428,plain,
% 27.61/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB67, constB68)) | (~v127(constB67, 2)) | v129(constB68, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB67, constB68)) | (~v127(constB67, 2)) | v129(constB68, 2))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9429,plain,
% 27.61/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB67, constB68)) | (~v127(constB67, 2)) | v129(constB68, 2))),
% 27.61/18.15 inference(quant_inst,[status(thm)],[])).
% 27.61/18.15 tff(9430,plain,
% 27.61/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB67, constB68)) | (~v127(constB67, 2)) | v129(constB68, 2)),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9429, 9428])).
% 27.61/18.15 tff(9431,plain,
% 27.61/18.15 ((~v127(constB67, 2)) | v129(constB68, 2)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9430, 1513, 9384])).
% 27.61/18.15 tff(9432,plain,
% 27.61/18.15 (v129(constB68, 2)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9431, 9427])).
% 27.61/18.15 tff(9433,plain,
% 27.61/18.15 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB68, 2) | (~v129(constB68, 2)) | (~v100(constB68)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB68, 2) | (~v129(constB68, 2)) | (~v100(constB68)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9434,plain,
% 27.61/18.15 ((v90(constB68, 2) | (~v100(constB68)) | (~v129(constB68, 2))) <=> (v90(constB68, 2) | (~v129(constB68, 2)) | (~v100(constB68)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9435,plain,
% 27.61/18.15 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB68, 2) | (~v100(constB68)) | (~v129(constB68, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB68, 2) | (~v129(constB68, 2)) | (~v100(constB68))))),
% 27.61/18.15 inference(monotonicity,[status(thm)],[9434])).
% 27.61/18.15 tff(9436,plain,
% 27.61/18.15 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB68, 2) | (~v100(constB68)) | (~v129(constB68, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB68, 2) | (~v129(constB68, 2)) | (~v100(constB68)))),
% 27.61/18.15 inference(transitivity,[status(thm)],[9435, 9433])).
% 27.61/18.15 tff(9437,plain,
% 27.61/18.15 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB68, 2) | (~v100(constB68)) | (~v129(constB68, 2)))),
% 27.61/18.15 inference(quant_inst,[status(thm)],[])).
% 27.61/18.15 tff(9438,plain,
% 27.61/18.15 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB68, 2) | (~v129(constB68, 2)) | (~v100(constB68))),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9437, 9436])).
% 27.61/18.15 tff(9439,plain,
% 27.61/18.15 (v90(constB68, 2) | (~v100(constB68))),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9438, 1528, 9432])).
% 27.61/18.15 tff(9440,plain,
% 27.61/18.15 (v90(constB68, 2)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9439, 9418])).
% 27.61/18.15 tff(9441,plain,
% 27.61/18.15 ((~v1(constB69)) <=> (~v1(constB69))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9442,axiom,(~v1(constB69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_69_1_1')).
% 27.61/18.15 tff(9443,plain,
% 27.61/18.15 (~v1(constB69)),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9442, 9441])).
% 27.61/18.15 tff(9444,plain,
% 27.61/18.15 (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9445,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_68_1')).
% 27.61/18.15 tff(9446,plain,
% 27.61/18.15 (nextState(constB68, constB69)),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9445, 9444])).
% 27.61/18.15 tff(9447,plain,
% 27.61/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9448,plain,
% 27.61/18.15 (((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69)) <=> (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9449,plain,
% 27.61/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69))))),
% 27.61/18.15 inference(monotonicity,[status(thm)],[9448])).
% 27.61/18.15 tff(9450,plain,
% 27.61/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 27.61/18.15 inference(transitivity,[status(thm)],[9449, 9447])).
% 27.61/18.15 tff(9451,plain,
% 27.61/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))),
% 27.61/18.15 inference(quant_inst,[status(thm)],[])).
% 27.61/18.15 tff(9452,plain,
% 27.61/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69))),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9451, 9450])).
% 27.61/18.15 tff(9453,plain,
% 27.61/18.15 (~v101(constB69)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9452, 138, 9446, 9443])).
% 27.61/18.15 tff(9454,plain,
% 27.61/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9455,plain,
% 27.61/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))),
% 27.61/18.15 inference(quant_inst,[status(thm)],[])).
% 27.61/18.15 tff(9456,plain,
% 27.61/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69))),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9455, 9454])).
% 27.61/18.15 tff(9457,plain,
% 27.61/18.15 (v101(constB69) | (~v100(constB69))),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9456, 155, 9446])).
% 27.61/18.15 tff(9458,plain,
% 27.61/18.15 (~v100(constB69)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9457, 9453])).
% 27.61/18.15 tff(9459,plain,
% 27.61/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB68, 2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB68, 2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, 2))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9460,plain,
% 27.61/18.15 (((~nextState(constB68, constB69)) | (~v90(constB68, 2)) | v100(constB69) | v90(constB69, 2)) <=> ((~v90(constB68, 2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, 2))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9461,plain,
% 27.61/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB68, constB69)) | (~v90(constB68, 2)) | v100(constB69) | v90(constB69, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB68, 2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, 2)))),
% 27.61/18.15 inference(monotonicity,[status(thm)],[9460])).
% 27.61/18.15 tff(9462,plain,
% 27.61/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB68, constB69)) | (~v90(constB68, 2)) | v100(constB69) | v90(constB69, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB68, 2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, 2))),
% 27.61/18.15 inference(transitivity,[status(thm)],[9461, 9459])).
% 27.61/18.15 tff(9463,plain,
% 27.61/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB68, constB69)) | (~v90(constB68, 2)) | v100(constB69) | v90(constB69, 2))),
% 27.61/18.15 inference(quant_inst,[status(thm)],[])).
% 27.61/18.15 tff(9464,plain,
% 27.61/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB68, 2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, 2)),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9463, 9462])).
% 27.61/18.15 tff(9465,plain,
% 27.61/18.15 ((~v90(constB68, 2)) | v100(constB69) | v90(constB69, 2)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9464, 1546, 9446])).
% 27.61/18.15 tff(9466,plain,
% 27.61/18.15 ((~v90(constB68, 2)) | v90(constB69, 2)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9465, 9458])).
% 27.61/18.15 tff(9467,plain,
% 27.61/18.15 (v90(constB69, 2)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9466, 9440])).
% 27.61/18.15 tff(9468,plain,
% 27.61/18.15 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB67)) | (~v130(constB67, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB67)) | (~v130(constB67, 1)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9469,plain,
% 27.61/18.15 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB67)) | (~v130(constB67, 1)))),
% 27.61/18.15 inference(quant_inst,[status(thm)],[])).
% 27.61/18.15 tff(9470,plain,
% 27.61/18.15 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB67)) | (~v130(constB67, 1))),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9469, 9468])).
% 27.61/18.15 tff(9471,plain,
% 27.61/18.15 (~v130(constB67, 1)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9470, 1424, 9337])).
% 27.61/18.15 tff(9472,plain,
% 27.61/18.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB67, 1)) | v26(constB67) | v130(constB67, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB67, 1)) | v26(constB67) | v130(constB67, 1))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9473,plain,
% 27.61/18.15 ((v26(constB67) | v130(constB67, 1) | (~v127(constB67, 1))) <=> ((~v127(constB67, 1)) | v26(constB67) | v130(constB67, 1))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9474,plain,
% 27.61/18.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB67) | v130(constB67, 1) | (~v127(constB67, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB67, 1)) | v26(constB67) | v130(constB67, 1)))),
% 27.61/18.15 inference(monotonicity,[status(thm)],[9473])).
% 27.61/18.15 tff(9475,plain,
% 27.61/18.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB67) | v130(constB67, 1) | (~v127(constB67, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB67, 1)) | v26(constB67) | v130(constB67, 1))),
% 27.61/18.15 inference(transitivity,[status(thm)],[9474, 9472])).
% 27.61/18.15 tff(9476,plain,
% 27.61/18.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB67) | v130(constB67, 1) | (~v127(constB67, 1)))),
% 27.61/18.15 inference(quant_inst,[status(thm)],[])).
% 27.61/18.15 tff(9477,plain,
% 27.61/18.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB67, 1)) | v26(constB67) | v130(constB67, 1)),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9476, 9475])).
% 27.61/18.15 tff(9478,plain,
% 27.61/18.15 ((~v127(constB67, 1)) | v130(constB67, 1)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9477, 541, 9366])).
% 27.61/18.15 tff(9479,plain,
% 27.61/18.15 (~v127(constB67, 1)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9478, 9471])).
% 27.61/18.15 tff(9480,plain,
% 27.61/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB67, constB68)) | v127(constB67, 1) | (~v129(constB68, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB67, constB68)) | v127(constB67, 1) | (~v129(constB68, 1)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9481,plain,
% 27.61/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB67, constB68)) | v127(constB67, 1) | (~v129(constB68, 1)))),
% 27.61/18.15 inference(quant_inst,[status(thm)],[])).
% 27.61/18.15 tff(9482,plain,
% 27.61/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB67, constB68)) | v127(constB67, 1) | (~v129(constB68, 1))),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9481, 9480])).
% 27.61/18.15 tff(9483,plain,
% 27.61/18.15 (v127(constB67, 1) | (~v129(constB68, 1))),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9482, 559, 9384])).
% 27.61/18.15 tff(9484,plain,
% 27.61/18.15 (~v129(constB68, 1)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9483, 9479])).
% 27.61/18.15 tff(9485,plain,
% 27.61/18.15 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB68, 1)) | v129(constB68, 1) | (~v100(constB68)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB68, 1)) | v129(constB68, 1) | (~v100(constB68)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9486,plain,
% 27.61/18.15 (((~v90(constB68, 1)) | (~v100(constB68)) | v129(constB68, 1)) <=> ((~v90(constB68, 1)) | v129(constB68, 1) | (~v100(constB68)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9487,plain,
% 27.61/18.15 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB68, 1)) | (~v100(constB68)) | v129(constB68, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB68, 1)) | v129(constB68, 1) | (~v100(constB68))))),
% 27.61/18.15 inference(monotonicity,[status(thm)],[9486])).
% 27.61/18.15 tff(9488,plain,
% 27.61/18.15 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB68, 1)) | (~v100(constB68)) | v129(constB68, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB68, 1)) | v129(constB68, 1) | (~v100(constB68)))),
% 27.61/18.15 inference(transitivity,[status(thm)],[9487, 9485])).
% 27.61/18.15 tff(9489,plain,
% 27.61/18.15 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB68, 1)) | (~v100(constB68)) | v129(constB68, 1))),
% 27.61/18.15 inference(quant_inst,[status(thm)],[])).
% 27.61/18.15 tff(9490,plain,
% 27.61/18.15 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB68, 1)) | v129(constB68, 1) | (~v100(constB68))),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9489, 9488])).
% 27.61/18.15 tff(9491,plain,
% 27.61/18.15 ((~v90(constB68, 1)) | (~v100(constB68))),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9490, 574, 9484])).
% 27.61/18.15 tff(9492,plain,
% 27.61/18.15 (~v90(constB68, 1)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9491, 9418])).
% 27.61/18.15 tff(9493,plain,
% 27.61/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB68, 1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB68, 1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 1)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9494,plain,
% 27.61/18.15 (((~nextState(constB68, constB69)) | v90(constB68, 1) | v100(constB69) | (~v90(constB69, 1))) <=> (v90(constB68, 1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 1)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9495,plain,
% 27.61/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB68, constB69)) | v90(constB68, 1) | v100(constB69) | (~v90(constB69, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB68, 1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 1))))),
% 27.61/18.15 inference(monotonicity,[status(thm)],[9494])).
% 27.61/18.15 tff(9496,plain,
% 27.61/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB68, constB69)) | v90(constB68, 1) | v100(constB69) | (~v90(constB69, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB68, 1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 1)))),
% 27.61/18.15 inference(transitivity,[status(thm)],[9495, 9493])).
% 27.61/18.15 tff(9497,plain,
% 27.61/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB68, constB69)) | v90(constB68, 1) | v100(constB69) | (~v90(constB69, 1)))),
% 27.61/18.15 inference(quant_inst,[status(thm)],[])).
% 27.61/18.15 tff(9498,plain,
% 27.61/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB68, 1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 1))),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9497, 9496])).
% 27.61/18.15 tff(9499,plain,
% 27.61/18.15 (v90(constB68, 1) | v100(constB69) | (~v90(constB69, 1))),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9498, 191, 9446])).
% 27.61/18.15 tff(9500,plain,
% 27.61/18.15 (v90(constB68, 1) | (~v90(constB69, 1))),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9499, 9458])).
% 27.61/18.15 tff(9501,plain,
% 27.61/18.15 (~v90(constB69, 1)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9500, 9492])).
% 27.61/18.15 tff(9502,plain,
% 27.61/18.15 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB67)) | (~v130(constB67, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB67)) | (~v130(constB67, 0)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9503,plain,
% 27.61/18.15 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB67)) | (~v130(constB67, 0)))),
% 27.61/18.15 inference(quant_inst,[status(thm)],[])).
% 27.61/18.15 tff(9504,plain,
% 27.61/18.15 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB67)) | (~v130(constB67, 0))),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9503, 9502])).
% 27.61/18.15 tff(9505,plain,
% 27.61/18.15 (~v130(constB67, 0)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9504, 1351, 9337])).
% 27.61/18.15 tff(9506,plain,
% 27.61/18.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB67, 0)) | v26(constB67) | v130(constB67, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB67, 0)) | v26(constB67) | v130(constB67, 0))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9507,plain,
% 27.61/18.15 ((v26(constB67) | v130(constB67, 0) | (~v127(constB67, 0))) <=> ((~v127(constB67, 0)) | v26(constB67) | v130(constB67, 0))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9508,plain,
% 27.61/18.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB67) | v130(constB67, 0) | (~v127(constB67, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB67, 0)) | v26(constB67) | v130(constB67, 0)))),
% 27.61/18.15 inference(monotonicity,[status(thm)],[9507])).
% 27.61/18.15 tff(9509,plain,
% 27.61/18.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB67) | v130(constB67, 0) | (~v127(constB67, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB67, 0)) | v26(constB67) | v130(constB67, 0))),
% 27.61/18.15 inference(transitivity,[status(thm)],[9508, 9506])).
% 27.61/18.15 tff(9510,plain,
% 27.61/18.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB67) | v130(constB67, 0) | (~v127(constB67, 0)))),
% 27.61/18.15 inference(quant_inst,[status(thm)],[])).
% 27.61/18.15 tff(9511,plain,
% 27.61/18.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB67, 0)) | v26(constB67) | v130(constB67, 0)),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9510, 9509])).
% 27.61/18.15 tff(9512,plain,
% 27.61/18.15 ((~v127(constB67, 0)) | v130(constB67, 0)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9511, 933, 9366])).
% 27.61/18.15 tff(9513,plain,
% 27.61/18.15 (~v127(constB67, 0)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9512, 9505])).
% 27.61/18.15 tff(9514,plain,
% 27.61/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB67, constB68)) | v127(constB67, 0) | (~v129(constB68, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB67, constB68)) | v127(constB67, 0) | (~v129(constB68, 0)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9515,plain,
% 27.61/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB67, constB68)) | v127(constB67, 0) | (~v129(constB68, 0)))),
% 27.61/18.15 inference(quant_inst,[status(thm)],[])).
% 27.61/18.15 tff(9516,plain,
% 27.61/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB67, constB68)) | v127(constB67, 0) | (~v129(constB68, 0))),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9515, 9514])).
% 27.61/18.15 tff(9517,plain,
% 27.61/18.15 (v127(constB67, 0) | (~v129(constB68, 0))),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9516, 951, 9384])).
% 27.61/18.15 tff(9518,plain,
% 27.61/18.15 (~v129(constB68, 0)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9517, 9513])).
% 27.61/18.15 tff(9519,plain,
% 27.61/18.15 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB68, 0)) | v129(constB68, 0) | (~v100(constB68)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB68, 0)) | v129(constB68, 0) | (~v100(constB68)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9520,plain,
% 27.61/18.15 (((~v90(constB68, 0)) | (~v100(constB68)) | v129(constB68, 0)) <=> ((~v90(constB68, 0)) | v129(constB68, 0) | (~v100(constB68)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9521,plain,
% 27.61/18.15 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB68, 0)) | (~v100(constB68)) | v129(constB68, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB68, 0)) | v129(constB68, 0) | (~v100(constB68))))),
% 27.61/18.15 inference(monotonicity,[status(thm)],[9520])).
% 27.61/18.15 tff(9522,plain,
% 27.61/18.15 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB68, 0)) | (~v100(constB68)) | v129(constB68, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB68, 0)) | v129(constB68, 0) | (~v100(constB68)))),
% 27.61/18.15 inference(transitivity,[status(thm)],[9521, 9519])).
% 27.61/18.15 tff(9523,plain,
% 27.61/18.15 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB68, 0)) | (~v100(constB68)) | v129(constB68, 0))),
% 27.61/18.15 inference(quant_inst,[status(thm)],[])).
% 27.61/18.15 tff(9524,plain,
% 27.61/18.15 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB68, 0)) | v129(constB68, 0) | (~v100(constB68))),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9523, 9522])).
% 27.61/18.15 tff(9525,plain,
% 27.61/18.15 ((~v90(constB68, 0)) | (~v100(constB68))),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9524, 966, 9518])).
% 27.61/18.15 tff(9526,plain,
% 27.61/18.15 (~v90(constB68, 0)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9525, 9418])).
% 27.61/18.15 tff(9527,plain,
% 27.61/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB68, 0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB68, 0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 0)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9528,plain,
% 27.61/18.15 (((~nextState(constB68, constB69)) | v90(constB68, 0) | v100(constB69) | (~v90(constB69, 0))) <=> (v90(constB68, 0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 0)))),
% 27.61/18.15 inference(rewrite,[status(thm)],[])).
% 27.61/18.15 tff(9529,plain,
% 27.61/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB68, constB69)) | v90(constB68, 0) | v100(constB69) | (~v90(constB69, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB68, 0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 0))))),
% 27.61/18.15 inference(monotonicity,[status(thm)],[9528])).
% 27.61/18.15 tff(9530,plain,
% 27.61/18.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB68, constB69)) | v90(constB68, 0) | v100(constB69) | (~v90(constB69, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB68, 0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 0)))),
% 27.61/18.15 inference(transitivity,[status(thm)],[9529, 9527])).
% 27.61/18.15 tff(9531,plain,
% 27.61/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB68, constB69)) | v90(constB68, 0) | v100(constB69) | (~v90(constB69, 0)))),
% 27.61/18.15 inference(quant_inst,[status(thm)],[])).
% 27.61/18.15 tff(9532,plain,
% 27.61/18.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB68, 0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 0))),
% 27.61/18.15 inference(modus_ponens,[status(thm)],[9531, 9530])).
% 27.61/18.15 tff(9533,plain,
% 27.61/18.15 (v90(constB68, 0) | v100(constB69) | (~v90(constB69, 0))),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9532, 212, 9446])).
% 27.61/18.15 tff(9534,plain,
% 27.61/18.15 (v90(constB68, 0) | (~v90(constB69, 0))),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9533, 9458])).
% 27.61/18.15 tff(9535,plain,
% 27.61/18.15 (~v90(constB69, 0)),
% 27.61/18.15 inference(unit_resolution,[status(thm)],[9534, 9526])).
% 27.61/18.15 tff(9536,plain,
% 27.61/18.15 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB69, 0) | v90(constB69, 1) | (~v90(constB69, 2)) | v123(constB69))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB69, 0) | v90(constB69, 1) | (~v90(constB69, 2)) | v123(constB69))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9537,plain,
% 27.61/18.16 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB69, 0) | v90(constB69, 1) | (~v90(constB69, 2)) | v123(constB69))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9538,plain,
% 27.61/18.16 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB69, 0) | v90(constB69, 1) | (~v90(constB69, 2)) | v123(constB69)),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9537, 9536])).
% 27.61/18.16 tff(9539,plain,
% 27.61/18.16 (v123(constB69)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9538, 1565, 9535, 9501, 9467])).
% 27.61/18.16 tff(9540,plain,
% 27.61/18.16 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB69)) | v115(constB69))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB69)) | v115(constB69))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9541,plain,
% 27.61/18.16 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB69)) | v115(constB69))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9542,plain,
% 27.61/18.16 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB69)) | v115(constB69)),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9541, 9540])).
% 27.61/18.16 tff(9543,plain,
% 27.61/18.16 (v115(constB69)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9542, 1579, 9539])).
% 27.61/18.16 tff(9544,plain,
% 27.61/18.16 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB69)) | v114(constB69))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB69)) | v114(constB69))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9545,plain,
% 27.61/18.16 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB69)) | v114(constB69))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9546,plain,
% 27.61/18.16 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB69)) | v114(constB69)),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9545, 9544])).
% 27.61/18.16 tff(9547,plain,
% 27.61/18.16 (v114(constB69)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9546, 300, 9543])).
% 27.61/18.16 tff(9548,plain,
% 27.61/18.16 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB69) | (~v114(constB69)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB69) | (~v114(constB69)))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9549,plain,
% 27.61/18.16 (((~v114(constB69)) | v113(constB69)) <=> (v113(constB69) | (~v114(constB69)))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9550,plain,
% 27.61/18.16 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB69)) | v113(constB69))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB69) | (~v114(constB69))))),
% 27.61/18.16 inference(monotonicity,[status(thm)],[9549])).
% 27.61/18.16 tff(9551,plain,
% 27.61/18.16 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB69)) | v113(constB69))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB69) | (~v114(constB69)))),
% 27.61/18.16 inference(transitivity,[status(thm)],[9550, 9548])).
% 27.61/18.16 tff(9552,plain,
% 27.61/18.16 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB69)) | v113(constB69))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9553,plain,
% 27.61/18.16 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB69) | (~v114(constB69))),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9552, 9551])).
% 27.61/18.16 tff(9554,plain,
% 27.61/18.16 (v113(constB69)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9553, 314, 9547])).
% 27.61/18.16 tff(9555,assumption,(v26(constB69)), introduced(assumption)).
% 27.61/18.16 tff(9556,plain,
% 27.61/18.16 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB69))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9557,plain,
% 27.61/18.16 ($false),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9556, 95, 9555])).
% 27.61/18.16 tff(9558,plain,(~v26(constB69)), inference(lemma,lemma(discharge,[]))).
% 27.61/18.16 tff(9559,plain,
% 27.61/18.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | (~v113(constB69)) | v112(constB69))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9560,plain,
% 27.61/18.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9561,plain,
% 27.61/18.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | (~v113(constB69)) | v112(constB69)),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9560, 9559])).
% 27.61/18.16 tff(9562,plain,
% 27.61/18.16 ((~v113(constB69)) | v112(constB69)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9561, 328, 9558])).
% 27.61/18.16 tff(9563,plain,
% 27.61/18.16 (v112(constB69)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9562, 9554])).
% 27.61/18.16 tff(9564,plain,
% 27.61/18.16 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB69) | (~v112(constB69)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB69) | (~v112(constB69)))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9565,plain,
% 27.61/18.16 (((~v112(constB69)) | v108(constB69)) <=> (v108(constB69) | (~v112(constB69)))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9566,plain,
% 27.61/18.16 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB69)) | v108(constB69))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB69) | (~v112(constB69))))),
% 27.61/18.16 inference(monotonicity,[status(thm)],[9565])).
% 27.61/18.16 tff(9567,plain,
% 27.61/18.16 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB69)) | v108(constB69))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB69) | (~v112(constB69)))),
% 27.61/18.16 inference(transitivity,[status(thm)],[9566, 9564])).
% 27.61/18.16 tff(9568,plain,
% 27.61/18.16 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB69)) | v108(constB69))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9569,plain,
% 27.61/18.16 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB69) | (~v112(constB69))),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9568, 9567])).
% 27.61/18.16 tff(9570,plain,
% 27.61/18.16 (v108(constB69)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9569, 340, 9563])).
% 27.61/18.16 tff(9571,plain,
% 27.61/18.16 (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9572,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_69_1')).
% 27.61/18.16 tff(9573,plain,
% 27.61/18.16 (nextState(constB69, constB70)),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9572, 9571])).
% 27.61/18.16 tff(9574,plain,
% 27.61/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9575,plain,
% 27.61/18.16 (((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70)) <=> ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9576,plain,
% 27.61/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69))))),
% 27.61/18.16 inference(monotonicity,[status(thm)],[9575])).
% 27.61/18.16 tff(9577,plain,
% 27.61/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 27.61/18.16 inference(transitivity,[status(thm)],[9576, 9574])).
% 27.61/18.16 tff(9578,plain,
% 27.61/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9579,plain,
% 27.61/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69))),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9578, 9577])).
% 27.61/18.16 tff(9580,plain,
% 27.61/18.16 (v110(constB70) | (~v108(constB69))),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9579, 360, 9573])).
% 27.61/18.16 tff(9581,plain,
% 27.61/18.16 (v110(constB70)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9580, 9570])).
% 27.61/18.16 tff(9582,plain,
% 27.61/18.16 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9583,plain,
% 27.61/18.16 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9584,plain,
% 27.61/18.16 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70))),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9583, 9582])).
% 27.61/18.16 tff(9585,plain,
% 27.61/18.16 (~v104(constB70)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9584, 378, 9573, 9443])).
% 27.61/18.16 tff(9586,plain,
% 27.61/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9587,plain,
% 27.61/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9588,plain,
% 27.61/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB69, constB70)) | v102(constB70) | v104(constB70)),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9587, 9586])).
% 27.61/18.16 tff(9589,plain,
% 27.61/18.16 (v102(constB70) | v104(constB70)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9588, 392, 9573])).
% 27.61/18.16 tff(9590,plain,
% 27.61/18.16 (v102(constB70)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9589, 9585])).
% 27.61/18.16 tff(9591,plain,
% 27.61/18.16 (v1(constB70) <=> v1(constB70)),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9592,axiom,(v1(constB70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_70_1')).
% 27.61/18.16 tff(9593,plain,
% 27.61/18.16 (v1(constB70)),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9592, 9591])).
% 27.61/18.16 tff(9594,plain,
% 27.61/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9595,plain,
% 27.61/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9596,plain,
% 27.61/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70))),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9595, 9594])).
% 27.61/18.16 tff(9597,plain,
% 27.61/18.16 (v101(constB70) | (~v102(constB70))),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9596, 410, 9573, 9593])).
% 27.61/18.16 tff(9598,plain,
% 27.61/18.16 (v101(constB70)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9597, 9590])).
% 27.61/18.16 tff(9599,plain,
% 27.61/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9600,plain,
% 27.61/18.16 (((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70)) <=> ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9601,plain,
% 27.61/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70))))),
% 27.61/18.16 inference(monotonicity,[status(thm)],[9600])).
% 27.61/18.16 tff(9602,plain,
% 27.61/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 27.61/18.16 inference(transitivity,[status(thm)],[9601, 9599])).
% 27.61/18.16 tff(9603,plain,
% 27.61/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9604,plain,
% 27.61/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70))),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9603, 9602])).
% 27.61/18.16 tff(9605,plain,
% 27.61/18.16 (v100(constB70) | (~v101(constB70)) | (~v110(constB70))),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9604, 425, 9573])).
% 27.61/18.16 tff(9606,plain,
% 27.61/18.16 (v100(constB70) | (~v110(constB70))),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9605, 9598])).
% 27.61/18.16 tff(9607,plain,
% 27.61/18.16 (v100(constB70)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9606, 9581])).
% 27.61/18.16 tff(9608,plain,
% 27.61/18.16 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB69)) | v130(constB69, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB69)) | v130(constB69, 2))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9609,plain,
% 27.61/18.16 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB69)) | v130(constB69, 2))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9610,plain,
% 27.61/18.16 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB69)) | v130(constB69, 2)),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9609, 9608])).
% 27.61/18.16 tff(9611,plain,
% 27.61/18.16 (v130(constB69, 2)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9610, 1656, 9539])).
% 27.61/18.16 tff(9612,plain,
% 27.61/18.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB69) | (~v130(constB69, 2)) | v127(constB69, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB69) | (~v130(constB69, 2)) | v127(constB69, 2))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9613,plain,
% 27.61/18.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB69) | (~v130(constB69, 2)) | v127(constB69, 2))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9614,plain,
% 27.61/18.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB69) | (~v130(constB69, 2)) | v127(constB69, 2)),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9613, 9612])).
% 27.61/18.16 tff(9615,plain,
% 27.61/18.16 ((~v130(constB69, 2)) | v127(constB69, 2)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9614, 1498, 9558])).
% 27.61/18.16 tff(9616,plain,
% 27.61/18.16 (v127(constB69, 2)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9615, 9611])).
% 27.61/18.16 tff(9617,plain,
% 27.61/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB69, constB70)) | (~v127(constB69, 2)) | v129(constB70, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB69, constB70)) | (~v127(constB69, 2)) | v129(constB70, 2))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9618,plain,
% 27.61/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB69, constB70)) | (~v127(constB69, 2)) | v129(constB70, 2))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9619,plain,
% 27.61/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB69, constB70)) | (~v127(constB69, 2)) | v129(constB70, 2)),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9618, 9617])).
% 27.61/18.16 tff(9620,plain,
% 27.61/18.16 ((~v127(constB69, 2)) | v129(constB70, 2)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9619, 1513, 9573])).
% 27.61/18.16 tff(9621,plain,
% 27.61/18.16 (v129(constB70, 2)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9620, 9616])).
% 27.61/18.16 tff(9622,plain,
% 27.61/18.16 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB70, 2) | (~v129(constB70, 2)) | (~v100(constB70)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB70, 2) | (~v129(constB70, 2)) | (~v100(constB70)))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9623,plain,
% 27.61/18.16 ((v90(constB70, 2) | (~v100(constB70)) | (~v129(constB70, 2))) <=> (v90(constB70, 2) | (~v129(constB70, 2)) | (~v100(constB70)))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9624,plain,
% 27.61/18.16 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB70, 2) | (~v100(constB70)) | (~v129(constB70, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB70, 2) | (~v129(constB70, 2)) | (~v100(constB70))))),
% 27.61/18.16 inference(monotonicity,[status(thm)],[9623])).
% 27.61/18.16 tff(9625,plain,
% 27.61/18.16 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB70, 2) | (~v100(constB70)) | (~v129(constB70, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB70, 2) | (~v129(constB70, 2)) | (~v100(constB70)))),
% 27.61/18.16 inference(transitivity,[status(thm)],[9624, 9622])).
% 27.61/18.16 tff(9626,plain,
% 27.61/18.16 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB70, 2) | (~v100(constB70)) | (~v129(constB70, 2)))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9627,plain,
% 27.61/18.16 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB70, 2) | (~v129(constB70, 2)) | (~v100(constB70))),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9626, 9625])).
% 27.61/18.16 tff(9628,plain,
% 27.61/18.16 (v90(constB70, 2) | (~v100(constB70))),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9627, 1528, 9621])).
% 27.61/18.16 tff(9629,plain,
% 27.61/18.16 (v90(constB70, 2)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9628, 9607])).
% 27.61/18.16 tff(9630,plain,
% 27.61/18.16 ((~v1(constB71)) <=> (~v1(constB71))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9631,axiom,(~v1(constB71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_71_1_1')).
% 27.61/18.16 tff(9632,plain,
% 27.61/18.16 (~v1(constB71)),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9631, 9630])).
% 27.61/18.16 tff(9633,plain,
% 27.61/18.16 (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9634,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_70_1')).
% 27.61/18.16 tff(9635,plain,
% 27.61/18.16 (nextState(constB70, constB71)),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9634, 9633])).
% 27.61/18.16 tff(9636,plain,
% 27.61/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9637,plain,
% 27.61/18.16 (((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71)) <=> (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9638,plain,
% 27.61/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71))))),
% 27.61/18.16 inference(monotonicity,[status(thm)],[9637])).
% 27.61/18.16 tff(9639,plain,
% 27.61/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 27.61/18.16 inference(transitivity,[status(thm)],[9638, 9636])).
% 27.61/18.16 tff(9640,plain,
% 27.61/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9641,plain,
% 27.61/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71))),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9640, 9639])).
% 27.61/18.16 tff(9642,plain,
% 27.61/18.16 (~v101(constB71)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9641, 138, 9635, 9632])).
% 27.61/18.16 tff(9643,plain,
% 27.61/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9644,plain,
% 27.61/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9645,plain,
% 27.61/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71))),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9644, 9643])).
% 27.61/18.16 tff(9646,plain,
% 27.61/18.16 (v101(constB71) | (~v100(constB71))),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9645, 155, 9635])).
% 27.61/18.16 tff(9647,plain,
% 27.61/18.16 (~v100(constB71)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9646, 9642])).
% 27.61/18.16 tff(9648,plain,
% 27.61/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB70, 2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB70, 2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 2))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9649,plain,
% 27.61/18.16 (((~nextState(constB70, constB71)) | (~v90(constB70, 2)) | v100(constB71) | v90(constB71, 2)) <=> ((~v90(constB70, 2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 2))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9650,plain,
% 27.61/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB70, constB71)) | (~v90(constB70, 2)) | v100(constB71) | v90(constB71, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB70, 2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 2)))),
% 27.61/18.16 inference(monotonicity,[status(thm)],[9649])).
% 27.61/18.16 tff(9651,plain,
% 27.61/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB70, constB71)) | (~v90(constB70, 2)) | v100(constB71) | v90(constB71, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB70, 2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 2))),
% 27.61/18.16 inference(transitivity,[status(thm)],[9650, 9648])).
% 27.61/18.16 tff(9652,plain,
% 27.61/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB70, constB71)) | (~v90(constB70, 2)) | v100(constB71) | v90(constB71, 2))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9653,plain,
% 27.61/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB70, 2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 2)),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9652, 9651])).
% 27.61/18.16 tff(9654,plain,
% 27.61/18.16 ((~v90(constB70, 2)) | v100(constB71) | v90(constB71, 2)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9653, 1546, 9635])).
% 27.61/18.16 tff(9655,plain,
% 27.61/18.16 ((~v90(constB70, 2)) | v90(constB71, 2)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9654, 9647])).
% 27.61/18.16 tff(9656,plain,
% 27.61/18.16 (v90(constB71, 2)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9655, 9629])).
% 27.61/18.16 tff(9657,plain,
% 27.61/18.16 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB69)) | (~v130(constB69, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB69)) | (~v130(constB69, 1)))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9658,plain,
% 27.61/18.16 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB69)) | (~v130(constB69, 1)))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9659,plain,
% 27.61/18.16 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB69)) | (~v130(constB69, 1))),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9658, 9657])).
% 27.61/18.16 tff(9660,plain,
% 27.61/18.16 (~v130(constB69, 1)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9659, 1712, 9539])).
% 27.61/18.16 tff(9661,plain,
% 27.61/18.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB69, 1)) | v26(constB69) | v130(constB69, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB69, 1)) | v26(constB69) | v130(constB69, 1))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9662,plain,
% 27.61/18.16 ((v26(constB69) | v130(constB69, 1) | (~v127(constB69, 1))) <=> ((~v127(constB69, 1)) | v26(constB69) | v130(constB69, 1))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9663,plain,
% 27.61/18.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB69) | v130(constB69, 1) | (~v127(constB69, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB69, 1)) | v26(constB69) | v130(constB69, 1)))),
% 27.61/18.16 inference(monotonicity,[status(thm)],[9662])).
% 27.61/18.16 tff(9664,plain,
% 27.61/18.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB69) | v130(constB69, 1) | (~v127(constB69, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB69, 1)) | v26(constB69) | v130(constB69, 1))),
% 27.61/18.16 inference(transitivity,[status(thm)],[9663, 9661])).
% 27.61/18.16 tff(9665,plain,
% 27.61/18.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB69) | v130(constB69, 1) | (~v127(constB69, 1)))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9666,plain,
% 27.61/18.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB69, 1)) | v26(constB69) | v130(constB69, 1)),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9665, 9664])).
% 27.61/18.16 tff(9667,plain,
% 27.61/18.16 ((~v127(constB69, 1)) | v130(constB69, 1)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9666, 541, 9558])).
% 27.61/18.16 tff(9668,plain,
% 27.61/18.16 (~v127(constB69, 1)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9667, 9660])).
% 27.61/18.16 tff(9669,plain,
% 27.61/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB69, constB70)) | v127(constB69, 1) | (~v129(constB70, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB69, constB70)) | v127(constB69, 1) | (~v129(constB70, 1)))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9670,plain,
% 27.61/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB69, constB70)) | v127(constB69, 1) | (~v129(constB70, 1)))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9671,plain,
% 27.61/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB69, constB70)) | v127(constB69, 1) | (~v129(constB70, 1))),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9670, 9669])).
% 27.61/18.16 tff(9672,plain,
% 27.61/18.16 (v127(constB69, 1) | (~v129(constB70, 1))),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9671, 559, 9573])).
% 27.61/18.16 tff(9673,plain,
% 27.61/18.16 (~v129(constB70, 1)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9672, 9668])).
% 27.61/18.16 tff(9674,plain,
% 27.61/18.16 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB70, 1)) | v129(constB70, 1) | (~v100(constB70)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB70, 1)) | v129(constB70, 1) | (~v100(constB70)))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9675,plain,
% 27.61/18.16 (((~v90(constB70, 1)) | (~v100(constB70)) | v129(constB70, 1)) <=> ((~v90(constB70, 1)) | v129(constB70, 1) | (~v100(constB70)))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9676,plain,
% 27.61/18.16 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB70, 1)) | (~v100(constB70)) | v129(constB70, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB70, 1)) | v129(constB70, 1) | (~v100(constB70))))),
% 27.61/18.16 inference(monotonicity,[status(thm)],[9675])).
% 27.61/18.16 tff(9677,plain,
% 27.61/18.16 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB70, 1)) | (~v100(constB70)) | v129(constB70, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB70, 1)) | v129(constB70, 1) | (~v100(constB70)))),
% 27.61/18.16 inference(transitivity,[status(thm)],[9676, 9674])).
% 27.61/18.16 tff(9678,plain,
% 27.61/18.16 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB70, 1)) | (~v100(constB70)) | v129(constB70, 1))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9679,plain,
% 27.61/18.16 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB70, 1)) | v129(constB70, 1) | (~v100(constB70))),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9678, 9677])).
% 27.61/18.16 tff(9680,plain,
% 27.61/18.16 ((~v90(constB70, 1)) | (~v100(constB70))),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9679, 574, 9673])).
% 27.61/18.16 tff(9681,plain,
% 27.61/18.16 (~v90(constB70, 1)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9680, 9607])).
% 27.61/18.16 tff(9682,plain,
% 27.61/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB70, 1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB70, 1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, 1)))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9683,plain,
% 27.61/18.16 (((~nextState(constB70, constB71)) | v90(constB70, 1) | v100(constB71) | (~v90(constB71, 1))) <=> (v90(constB70, 1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, 1)))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9684,plain,
% 27.61/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB70, constB71)) | v90(constB70, 1) | v100(constB71) | (~v90(constB71, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB70, 1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, 1))))),
% 27.61/18.16 inference(monotonicity,[status(thm)],[9683])).
% 27.61/18.16 tff(9685,plain,
% 27.61/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB70, constB71)) | v90(constB70, 1) | v100(constB71) | (~v90(constB71, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB70, 1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, 1)))),
% 27.61/18.16 inference(transitivity,[status(thm)],[9684, 9682])).
% 27.61/18.16 tff(9686,plain,
% 27.61/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB70, constB71)) | v90(constB70, 1) | v100(constB71) | (~v90(constB71, 1)))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9687,plain,
% 27.61/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB70, 1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, 1))),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9686, 9685])).
% 27.61/18.16 tff(9688,plain,
% 27.61/18.16 (v90(constB70, 1) | v100(constB71) | (~v90(constB71, 1))),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9687, 191, 9635])).
% 27.61/18.16 tff(9689,plain,
% 27.61/18.16 (v90(constB70, 1) | (~v90(constB71, 1))),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9688, 9647])).
% 27.61/18.16 tff(9690,plain,
% 27.61/18.16 (~v90(constB71, 1)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9689, 9681])).
% 27.61/18.16 tff(9691,plain,
% 27.61/18.16 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB69)) | v130(constB69, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB69)) | v130(constB69, 0))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9692,plain,
% 27.61/18.16 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB69)) | v130(constB69, 0))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9693,plain,
% 27.61/18.16 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB69)) | v130(constB69, 0)),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9692, 9691])).
% 27.61/18.16 tff(9694,plain,
% 27.61/18.16 (v130(constB69, 0)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9693, 1753, 9539])).
% 27.61/18.16 tff(9695,plain,
% 27.61/18.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB69) | (~v130(constB69, 0)) | v127(constB69, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB69) | (~v130(constB69, 0)) | v127(constB69, 0))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9696,plain,
% 27.61/18.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB69) | (~v130(constB69, 0)) | v127(constB69, 0))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9697,plain,
% 27.61/18.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB69) | (~v130(constB69, 0)) | v127(constB69, 0)),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9696, 9695])).
% 27.61/18.16 tff(9698,plain,
% 27.61/18.16 ((~v130(constB69, 0)) | v127(constB69, 0)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9697, 612, 9558])).
% 27.61/18.16 tff(9699,plain,
% 27.61/18.16 (v127(constB69, 0)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9698, 9694])).
% 27.61/18.16 tff(9700,plain,
% 27.61/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB69, constB70)) | (~v127(constB69, 0)) | v129(constB70, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB69, constB70)) | (~v127(constB69, 0)) | v129(constB70, 0))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9701,plain,
% 27.61/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB69, constB70)) | (~v127(constB69, 0)) | v129(constB70, 0))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9702,plain,
% 27.61/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB69, constB70)) | (~v127(constB69, 0)) | v129(constB70, 0)),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9701, 9700])).
% 27.61/18.16 tff(9703,plain,
% 27.61/18.16 ((~v127(constB69, 0)) | v129(constB70, 0)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9702, 627, 9573])).
% 27.61/18.16 tff(9704,plain,
% 27.61/18.16 (v129(constB70, 0)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9703, 9699])).
% 27.61/18.16 tff(9705,plain,
% 27.61/18.16 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB70, 0) | (~v129(constB70, 0)) | (~v100(constB70)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB70, 0) | (~v129(constB70, 0)) | (~v100(constB70)))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9706,plain,
% 27.61/18.16 ((v90(constB70, 0) | (~v100(constB70)) | (~v129(constB70, 0))) <=> (v90(constB70, 0) | (~v129(constB70, 0)) | (~v100(constB70)))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9707,plain,
% 27.61/18.16 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB70, 0) | (~v100(constB70)) | (~v129(constB70, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB70, 0) | (~v129(constB70, 0)) | (~v100(constB70))))),
% 27.61/18.16 inference(monotonicity,[status(thm)],[9706])).
% 27.61/18.16 tff(9708,plain,
% 27.61/18.16 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB70, 0) | (~v100(constB70)) | (~v129(constB70, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB70, 0) | (~v129(constB70, 0)) | (~v100(constB70)))),
% 27.61/18.16 inference(transitivity,[status(thm)],[9707, 9705])).
% 27.61/18.16 tff(9709,plain,
% 27.61/18.16 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB70, 0) | (~v100(constB70)) | (~v129(constB70, 0)))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9710,plain,
% 27.61/18.16 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB70, 0) | (~v129(constB70, 0)) | (~v100(constB70))),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9709, 9708])).
% 27.61/18.16 tff(9711,plain,
% 27.61/18.16 (v90(constB70, 0) | (~v100(constB70))),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9710, 642, 9704])).
% 27.61/18.16 tff(9712,plain,
% 27.61/18.16 (v90(constB70, 0)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9711, 9607])).
% 27.61/18.16 tff(9713,plain,
% 27.61/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB70, 0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB70, 0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 0))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9714,plain,
% 27.61/18.16 (((~nextState(constB70, constB71)) | (~v90(constB70, 0)) | v100(constB71) | v90(constB71, 0)) <=> ((~v90(constB70, 0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 0))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.16 tff(9715,plain,
% 27.61/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, 0)) | v100(constB71) | v90(constB71, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB70, 0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 0)))),
% 27.61/18.16 inference(monotonicity,[status(thm)],[9714])).
% 27.61/18.16 tff(9716,plain,
% 27.61/18.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, 0)) | v100(constB71) | v90(constB71, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB70, 0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 0))),
% 27.61/18.16 inference(transitivity,[status(thm)],[9715, 9713])).
% 27.61/18.16 tff(9717,plain,
% 27.61/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, 0)) | v100(constB71) | v90(constB71, 0))),
% 27.61/18.16 inference(quant_inst,[status(thm)],[])).
% 27.61/18.16 tff(9718,plain,
% 27.61/18.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB70, 0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 0)),
% 27.61/18.16 inference(modus_ponens,[status(thm)],[9717, 9716])).
% 27.61/18.16 tff(9719,plain,
% 27.61/18.16 ((~v90(constB70, 0)) | v100(constB71) | v90(constB71, 0)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9718, 660, 9635])).
% 27.61/18.16 tff(9720,plain,
% 27.61/18.16 ((~v90(constB70, 0)) | v90(constB71, 0)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9719, 9647])).
% 27.61/18.16 tff(9721,plain,
% 27.61/18.16 (v90(constB71, 0)),
% 27.61/18.16 inference(unit_resolution,[status(thm)],[9720, 9712])).
% 27.61/18.16 tff(9722,plain,
% 27.61/18.16 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB71, 0)) | v90(constB71, 1) | (~v90(constB71, 2)) | v124(constB71))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB71, 0)) | v90(constB71, 1) | (~v90(constB71, 2)) | v124(constB71))),
% 27.61/18.16 inference(rewrite,[status(thm)],[])).
% 27.61/18.17 tff(9723,plain,
% 27.61/18.17 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB71, 0)) | v90(constB71, 1) | (~v90(constB71, 2)) | v124(constB71))),
% 27.61/18.17 inference(quant_inst,[status(thm)],[])).
% 27.61/18.17 tff(9724,plain,
% 27.61/18.17 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB71, 0)) | v90(constB71, 1) | (~v90(constB71, 2)) | v124(constB71)),
% 27.61/18.17 inference(modus_ponens,[status(thm)],[9723, 9722])).
% 27.61/18.17 tff(9725,plain,
% 27.61/18.17 (v124(constB71)),
% 27.61/18.17 inference(unit_resolution,[status(thm)],[9724, 1794, 9721, 9690, 9656])).
% 27.61/18.17 tff(9726,plain,
% 27.61/18.17 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB71)) | v114(constB71))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB71)) | v114(constB71))),
% 27.61/18.17 inference(rewrite,[status(thm)],[])).
% 27.61/18.17 tff(9727,plain,
% 27.61/18.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB71)) | v114(constB71))),
% 27.61/18.17 inference(quant_inst,[status(thm)],[])).
% 27.61/18.17 tff(9728,plain,
% 27.61/18.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB71)) | v114(constB71)),
% 27.61/18.17 inference(modus_ponens,[status(thm)],[9727, 9726])).
% 27.61/18.17 tff(9729,plain,
% 27.61/18.17 (v114(constB71)),
% 27.61/18.17 inference(unit_resolution,[status(thm)],[9728, 1805, 9725])).
% 27.61/18.17 tff(9730,plain,
% 27.61/18.17 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB71)) | v113(constB71))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB71)) | v113(constB71))),
% 27.61/18.17 inference(rewrite,[status(thm)],[])).
% 27.61/18.17 tff(9731,plain,
% 27.61/18.17 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB71)) | v113(constB71))),
% 27.61/18.17 inference(quant_inst,[status(thm)],[])).
% 27.61/18.17 tff(9732,plain,
% 27.61/18.17 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB71)) | v113(constB71)),
% 27.61/18.17 inference(modus_ponens,[status(thm)],[9731, 9730])).
% 27.61/18.17 tff(9733,plain,
% 27.61/18.17 (v113(constB71)),
% 27.61/18.17 inference(unit_resolution,[status(thm)],[9732, 314, 9729])).
% 27.61/18.17 tff(9734,assumption,(~v108(constB71)), introduced(assumption)).
% 27.61/18.17 tff(9735,plain,
% 27.61/18.17 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB71) | (~v112(constB71)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v112(constB71)))),
% 27.61/18.17 inference(rewrite,[status(thm)],[])).
% 27.61/18.17 tff(9736,plain,
% 27.61/18.17 (((~v112(constB71)) | v108(constB71)) <=> (v108(constB71) | (~v112(constB71)))),
% 27.61/18.17 inference(rewrite,[status(thm)],[])).
% 27.61/18.17 tff(9737,plain,
% 27.61/18.17 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB71)) | v108(constB71))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB71) | (~v112(constB71))))),
% 27.61/18.17 inference(monotonicity,[status(thm)],[9736])).
% 27.61/18.17 tff(9738,plain,
% 27.61/18.17 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB71)) | v108(constB71))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v112(constB71)))),
% 27.61/18.17 inference(transitivity,[status(thm)],[9737, 9735])).
% 27.61/18.17 tff(9739,plain,
% 27.61/18.17 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB71)) | v108(constB71))),
% 27.61/18.17 inference(quant_inst,[status(thm)],[])).
% 27.61/18.17 tff(9740,plain,
% 27.61/18.17 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v112(constB71))),
% 27.61/18.17 inference(modus_ponens,[status(thm)],[9739, 9738])).
% 27.61/18.17 tff(9741,plain,
% 27.61/18.17 (~v112(constB71)),
% 27.61/18.17 inference(unit_resolution,[status(thm)],[9740, 340, 9734])).
% 27.61/18.17 tff(9742,plain,
% 27.61/18.17 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB71) | (~v26(constB71)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v26(constB71)))),
% 27.61/18.17 inference(rewrite,[status(thm)],[])).
% 27.61/18.17 tff(9743,plain,
% 27.61/18.17 (((~v26(constB71)) | v108(constB71)) <=> (v108(constB71) | (~v26(constB71)))),
% 27.61/18.17 inference(rewrite,[status(thm)],[])).
% 27.61/18.17 tff(9744,plain,
% 27.61/18.17 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB71)) | v108(constB71))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB71) | (~v26(constB71))))),
% 27.61/18.17 inference(monotonicity,[status(thm)],[9743])).
% 27.61/18.17 tff(9745,plain,
% 27.61/18.17 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB71)) | v108(constB71))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v26(constB71)))),
% 27.61/18.17 inference(transitivity,[status(thm)],[9744, 9742])).
% 27.61/18.17 tff(9746,plain,
% 27.61/18.17 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB71)) | v108(constB71))),
% 27.61/18.17 inference(quant_inst,[status(thm)],[])).
% 27.61/18.17 tff(9747,plain,
% 27.61/18.17 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v26(constB71))),
% 27.61/18.17 inference(modus_ponens,[status(thm)],[9746, 9745])).
% 27.61/18.17 tff(9748,plain,
% 27.61/18.17 (~v26(constB71)),
% 27.61/18.17 inference(unit_resolution,[status(thm)],[9747, 6750, 9734])).
% 27.61/18.17 tff(9749,assumption,(v113(constB71)), introduced(assumption)).
% 27.61/18.17 tff(9750,plain,
% 27.61/18.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB71) | (~v113(constB71)) | v112(constB71))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB71) | (~v113(constB71)) | v112(constB71))),
% 27.61/18.17 inference(rewrite,[status(thm)],[])).
% 27.61/18.17 tff(9751,plain,
% 27.61/18.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB71) | (~v113(constB71)) | v112(constB71))),
% 27.61/18.17 inference(quant_inst,[status(thm)],[])).
% 27.61/18.17 tff(9752,plain,
% 27.61/18.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB71) | (~v113(constB71)) | v112(constB71)),
% 27.61/18.17 inference(modus_ponens,[status(thm)],[9751, 9750])).
% 27.61/18.17 tff(9753,plain,
% 27.61/18.17 (v26(constB71) | v112(constB71)),
% 27.61/18.17 inference(unit_resolution,[status(thm)],[9752, 328, 9749])).
% 27.61/18.17 tff(9754,plain,
% 27.61/18.17 ($false),
% 27.61/18.17 inference(unit_resolution,[status(thm)],[9753, 9748, 9741])).
% 27.61/18.17 tff(9755,plain,(v108(constB71) | (~v113(constB71))), inference(lemma,lemma(discharge,[]))).
% 27.61/18.17 tff(9756,plain,
% 27.61/18.17 (v108(constB71)),
% 27.61/18.17 inference(unit_resolution,[status(thm)],[9755, 9733])).
% 27.61/18.17 tff(9757,plain,
% 27.61/18.17 (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 27.61/18.17 inference(rewrite,[status(thm)],[])).
% 27.61/18.17 tff(9758,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_71_1')).
% 27.61/18.17 tff(9759,plain,
% 27.61/18.17 (nextState(constB71, constB72)),
% 27.61/18.17 inference(modus_ponens,[status(thm)],[9758, 9757])).
% 27.61/18.17 tff(9760,plain,
% 27.61/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 27.61/18.17 inference(rewrite,[status(thm)],[])).
% 27.61/18.17 tff(9761,plain,
% 27.61/18.17 (((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72)) <=> ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 27.61/18.17 inference(rewrite,[status(thm)],[])).
% 27.61/18.17 tff(9762,plain,
% 27.61/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71))))),
% 27.61/18.17 inference(monotonicity,[status(thm)],[9761])).
% 27.61/18.17 tff(9763,plain,
% 27.61/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 27.61/18.17 inference(transitivity,[status(thm)],[9762, 9760])).
% 27.61/18.17 tff(9764,plain,
% 27.61/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))),
% 27.61/18.17 inference(quant_inst,[status(thm)],[])).
% 27.61/18.17 tff(9765,plain,
% 27.61/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71))),
% 27.61/18.17 inference(modus_ponens,[status(thm)],[9764, 9763])).
% 27.61/18.17 tff(9766,plain,
% 27.61/18.17 (v110(constB72) | (~v108(constB71))),
% 27.61/18.17 inference(unit_resolution,[status(thm)],[9765, 360, 9759])).
% 27.61/18.17 tff(9767,plain,
% 27.61/18.17 (v110(constB72)),
% 27.61/18.17 inference(unit_resolution,[status(thm)],[9766, 9756])).
% 27.61/18.17 tff(9768,plain,
% 27.61/18.17 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))),
% 27.61/18.17 inference(rewrite,[status(thm)],[])).
% 27.61/18.17 tff(9769,plain,
% 27.61/18.17 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))),
% 27.61/18.17 inference(quant_inst,[status(thm)],[])).
% 27.61/18.17 tff(9770,plain,
% 27.61/18.17 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72))),
% 27.61/18.17 inference(modus_ponens,[status(thm)],[9769, 9768])).
% 27.61/18.17 tff(9771,plain,
% 27.61/18.17 (~v104(constB72)),
% 27.61/18.17 inference(unit_resolution,[status(thm)],[9770, 378, 9759, 9632])).
% 27.61/18.17 tff(9772,plain,
% 27.61/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))),
% 27.61/18.17 inference(rewrite,[status(thm)],[])).
% 27.61/18.17 tff(9773,plain,
% 27.61/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))),
% 27.61/18.17 inference(quant_inst,[status(thm)],[])).
% 27.61/18.17 tff(9774,plain,
% 27.61/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB71, constB72)) | v102(constB72) | v104(constB72)),
% 27.61/18.17 inference(modus_ponens,[status(thm)],[9773, 9772])).
% 27.61/18.17 tff(9775,plain,
% 27.61/18.17 (v102(constB72) | v104(constB72)),
% 27.61/18.17 inference(unit_resolution,[status(thm)],[9774, 392, 9759])).
% 27.61/18.17 tff(9776,plain,
% 27.61/18.17 (v102(constB72)),
% 27.61/18.17 inference(unit_resolution,[status(thm)],[9775, 9771])).
% 27.61/18.17 tff(9777,plain,
% 27.61/18.17 (v1(constB72) <=> v1(constB72)),
% 27.61/18.17 inference(rewrite,[status(thm)],[])).
% 27.61/18.17 tff(9778,axiom,(v1(constB72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_72_1')).
% 27.61/18.17 tff(9779,plain,
% 27.61/18.17 (v1(constB72)),
% 27.61/18.17 inference(modus_ponens,[status(thm)],[9778, 9777])).
% 27.61/18.17 tff(9780,plain,
% 27.61/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))),
% 27.61/18.17 inference(rewrite,[status(thm)],[])).
% 27.61/18.17 tff(9781,plain,
% 27.61/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))),
% 27.61/18.17 inference(quant_inst,[status(thm)],[])).
% 27.61/18.17 tff(9782,plain,
% 27.61/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72))),
% 27.61/18.17 inference(modus_ponens,[status(thm)],[9781, 9780])).
% 27.61/18.17 tff(9783,plain,
% 27.61/18.17 (v101(constB72) | (~v102(constB72))),
% 27.61/18.17 inference(unit_resolution,[status(thm)],[9782, 410, 9759, 9779])).
% 27.61/18.17 tff(9784,plain,
% 27.61/18.17 (v101(constB72)),
% 27.61/18.17 inference(unit_resolution,[status(thm)],[9783, 9776])).
% 27.61/18.17 tff(9785,plain,
% 27.61/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 27.61/18.17 inference(rewrite,[status(thm)],[])).
% 27.61/18.17 tff(9786,plain,
% 27.61/18.17 (((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72)) <=> ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 27.61/18.17 inference(rewrite,[status(thm)],[])).
% 27.61/18.17 tff(9787,plain,
% 27.61/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72))))),
% 27.61/18.17 inference(monotonicity,[status(thm)],[9786])).
% 27.61/18.17 tff(9788,plain,
% 27.61/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 27.61/18.17 inference(transitivity,[status(thm)],[9787, 9785])).
% 27.61/18.17 tff(9789,plain,
% 27.61/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))),
% 27.61/18.17 inference(quant_inst,[status(thm)],[])).
% 27.61/18.17 tff(9790,plain,
% 27.61/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72))),
% 27.61/18.17 inference(modus_ponens,[status(thm)],[9789, 9788])).
% 27.61/18.17 tff(9791,plain,
% 27.61/18.17 (v100(constB72) | (~v101(constB72)) | (~v110(constB72))),
% 27.61/18.17 inference(unit_resolution,[status(thm)],[9790, 425, 9759])).
% 27.61/18.17 tff(9792,plain,
% 27.61/18.17 (v100(constB72) | (~v110(constB72))),
% 27.61/18.17 inference(unit_resolution,[status(thm)],[9791, 9784])).
% 27.61/18.17 tff(9793,plain,
% 27.61/18.17 (v100(constB72)),
% 27.61/18.17 inference(unit_resolution,[status(thm)],[9792, 9767])).
% 27.61/18.17 tff(9794,plain,
% 27.61/18.17 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB71)) | v130(constB71, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB71)) | v130(constB71, 2))),
% 27.61/18.17 inference(rewrite,[status(thm)],[])).
% 27.61/18.17 tff(9795,plain,
% 27.61/18.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB71)) | v130(constB71, 2))),
% 27.61/18.17 inference(quant_inst,[status(thm)],[])).
% 27.61/18.17 tff(9796,plain,
% 27.61/18.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB71)) | v130(constB71, 2)),
% 27.61/18.17 inference(modus_ponens,[status(thm)],[9795, 9794])).
% 27.61/18.17 tff(9797,plain,
% 27.61/18.17 (v130(constB71, 2)),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9796, 1873, 9725])).
% 27.65/18.17 tff(9798,assumption,(v26(constB71)), introduced(assumption)).
% 27.65/18.17 tff(9799,plain,
% 27.65/18.17 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB71))),
% 27.65/18.17 inference(quant_inst,[status(thm)],[])).
% 27.65/18.17 tff(9800,plain,
% 27.65/18.17 ($false),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9799, 95, 9798])).
% 27.65/18.17 tff(9801,plain,(~v26(constB71)), inference(lemma,lemma(discharge,[]))).
% 27.65/18.17 tff(9802,plain,
% 27.65/18.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB71) | (~v130(constB71, 2)) | v127(constB71, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB71) | (~v130(constB71, 2)) | v127(constB71, 2))),
% 27.65/18.17 inference(rewrite,[status(thm)],[])).
% 27.65/18.17 tff(9803,plain,
% 27.65/18.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB71) | (~v130(constB71, 2)) | v127(constB71, 2))),
% 27.65/18.17 inference(quant_inst,[status(thm)],[])).
% 27.65/18.17 tff(9804,plain,
% 27.65/18.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB71) | (~v130(constB71, 2)) | v127(constB71, 2)),
% 27.65/18.17 inference(modus_ponens,[status(thm)],[9803, 9802])).
% 27.65/18.17 tff(9805,plain,
% 27.65/18.17 ((~v130(constB71, 2)) | v127(constB71, 2)),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9804, 1498, 9801])).
% 27.65/18.17 tff(9806,plain,
% 27.65/18.17 (v127(constB71, 2)),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9805, 9797])).
% 27.65/18.17 tff(9807,plain,
% 27.65/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB71, constB72)) | (~v127(constB71, 2)) | v129(constB72, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB71, constB72)) | (~v127(constB71, 2)) | v129(constB72, 2))),
% 27.65/18.17 inference(rewrite,[status(thm)],[])).
% 27.65/18.17 tff(9808,plain,
% 27.65/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB71, constB72)) | (~v127(constB71, 2)) | v129(constB72, 2))),
% 27.65/18.17 inference(quant_inst,[status(thm)],[])).
% 27.65/18.17 tff(9809,plain,
% 27.65/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB71, constB72)) | (~v127(constB71, 2)) | v129(constB72, 2)),
% 27.65/18.17 inference(modus_ponens,[status(thm)],[9808, 9807])).
% 27.65/18.17 tff(9810,plain,
% 27.65/18.17 ((~v127(constB71, 2)) | v129(constB72, 2)),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9809, 1513, 9759])).
% 27.65/18.17 tff(9811,plain,
% 27.65/18.17 (v129(constB72, 2)),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9810, 9806])).
% 27.65/18.17 tff(9812,plain,
% 27.65/18.17 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB72, 2) | (~v129(constB72, 2)) | (~v100(constB72)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB72, 2) | (~v129(constB72, 2)) | (~v100(constB72)))),
% 27.65/18.17 inference(rewrite,[status(thm)],[])).
% 27.65/18.17 tff(9813,plain,
% 27.65/18.17 ((v90(constB72, 2) | (~v100(constB72)) | (~v129(constB72, 2))) <=> (v90(constB72, 2) | (~v129(constB72, 2)) | (~v100(constB72)))),
% 27.65/18.17 inference(rewrite,[status(thm)],[])).
% 27.65/18.17 tff(9814,plain,
% 27.65/18.17 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB72, 2) | (~v100(constB72)) | (~v129(constB72, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB72, 2) | (~v129(constB72, 2)) | (~v100(constB72))))),
% 27.65/18.17 inference(monotonicity,[status(thm)],[9813])).
% 27.65/18.17 tff(9815,plain,
% 27.65/18.17 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB72, 2) | (~v100(constB72)) | (~v129(constB72, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB72, 2) | (~v129(constB72, 2)) | (~v100(constB72)))),
% 27.65/18.17 inference(transitivity,[status(thm)],[9814, 9812])).
% 27.65/18.17 tff(9816,plain,
% 27.65/18.17 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB72, 2) | (~v100(constB72)) | (~v129(constB72, 2)))),
% 27.65/18.17 inference(quant_inst,[status(thm)],[])).
% 27.65/18.17 tff(9817,plain,
% 27.65/18.17 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB72, 2) | (~v129(constB72, 2)) | (~v100(constB72))),
% 27.65/18.17 inference(modus_ponens,[status(thm)],[9816, 9815])).
% 27.65/18.17 tff(9818,plain,
% 27.65/18.17 (v90(constB72, 2) | (~v100(constB72))),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9817, 1528, 9811])).
% 27.65/18.17 tff(9819,plain,
% 27.65/18.17 (v90(constB72, 2)),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9818, 9793])).
% 27.65/18.17 tff(9820,plain,
% 27.65/18.17 ((~v1(constB73)) <=> (~v1(constB73))),
% 27.65/18.17 inference(rewrite,[status(thm)],[])).
% 27.65/18.17 tff(9821,axiom,(~v1(constB73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_73_1_1')).
% 27.65/18.17 tff(9822,plain,
% 27.65/18.17 (~v1(constB73)),
% 27.65/18.17 inference(modus_ponens,[status(thm)],[9821, 9820])).
% 27.65/18.17 tff(9823,plain,
% 27.65/18.17 (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 27.65/18.17 inference(rewrite,[status(thm)],[])).
% 27.65/18.17 tff(9824,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_72_1')).
% 27.65/18.17 tff(9825,plain,
% 27.65/18.17 (nextState(constB72, constB73)),
% 27.65/18.17 inference(modus_ponens,[status(thm)],[9824, 9823])).
% 27.65/18.17 tff(9826,plain,
% 27.65/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 27.65/18.17 inference(rewrite,[status(thm)],[])).
% 27.65/18.17 tff(9827,plain,
% 27.65/18.17 (((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73)) <=> (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 27.65/18.17 inference(rewrite,[status(thm)],[])).
% 27.65/18.17 tff(9828,plain,
% 27.65/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73))))),
% 27.65/18.17 inference(monotonicity,[status(thm)],[9827])).
% 27.65/18.17 tff(9829,plain,
% 27.65/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 27.65/18.17 inference(transitivity,[status(thm)],[9828, 9826])).
% 27.65/18.17 tff(9830,plain,
% 27.65/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))),
% 27.65/18.17 inference(quant_inst,[status(thm)],[])).
% 27.65/18.17 tff(9831,plain,
% 27.65/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73))),
% 27.65/18.17 inference(modus_ponens,[status(thm)],[9830, 9829])).
% 27.65/18.17 tff(9832,plain,
% 27.65/18.17 (~v101(constB73)),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9831, 138, 9825, 9822])).
% 27.65/18.17 tff(9833,plain,
% 27.65/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))),
% 27.65/18.17 inference(rewrite,[status(thm)],[])).
% 27.65/18.17 tff(9834,plain,
% 27.65/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))),
% 27.65/18.17 inference(quant_inst,[status(thm)],[])).
% 27.65/18.17 tff(9835,plain,
% 27.65/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73))),
% 27.65/18.17 inference(modus_ponens,[status(thm)],[9834, 9833])).
% 27.65/18.17 tff(9836,plain,
% 27.65/18.17 (v101(constB73) | (~v100(constB73))),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9835, 155, 9825])).
% 27.65/18.17 tff(9837,plain,
% 27.65/18.17 (~v100(constB73)),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9836, 9832])).
% 27.65/18.17 tff(9838,plain,
% 27.65/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB72, 2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB72, 2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 2))),
% 27.65/18.17 inference(rewrite,[status(thm)],[])).
% 27.65/18.17 tff(9839,plain,
% 27.65/18.17 (((~nextState(constB72, constB73)) | (~v90(constB72, 2)) | v100(constB73) | v90(constB73, 2)) <=> ((~v90(constB72, 2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 2))),
% 27.65/18.17 inference(rewrite,[status(thm)],[])).
% 27.65/18.17 tff(9840,plain,
% 27.65/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, 2)) | v100(constB73) | v90(constB73, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB72, 2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 2)))),
% 27.65/18.17 inference(monotonicity,[status(thm)],[9839])).
% 27.65/18.17 tff(9841,plain,
% 27.65/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, 2)) | v100(constB73) | v90(constB73, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB72, 2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 2))),
% 27.65/18.17 inference(transitivity,[status(thm)],[9840, 9838])).
% 27.65/18.17 tff(9842,plain,
% 27.65/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, 2)) | v100(constB73) | v90(constB73, 2))),
% 27.65/18.17 inference(quant_inst,[status(thm)],[])).
% 27.65/18.17 tff(9843,plain,
% 27.65/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB72, 2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 2)),
% 27.65/18.17 inference(modus_ponens,[status(thm)],[9842, 9841])).
% 27.65/18.17 tff(9844,plain,
% 27.65/18.17 ((~v90(constB72, 2)) | v100(constB73) | v90(constB73, 2)),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9843, 1546, 9825])).
% 27.65/18.17 tff(9845,plain,
% 27.65/18.17 ((~v90(constB72, 2)) | v90(constB73, 2)),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9844, 9837])).
% 27.65/18.17 tff(9846,plain,
% 27.65/18.17 (v90(constB73, 2)),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9845, 9819])).
% 27.65/18.17 tff(9847,plain,
% 27.65/18.17 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB71)) | v130(constB71, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB71)) | v130(constB71, 1))),
% 27.65/18.17 inference(rewrite,[status(thm)],[])).
% 27.65/18.17 tff(9848,plain,
% 27.65/18.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB71)) | v130(constB71, 1))),
% 27.65/18.17 inference(quant_inst,[status(thm)],[])).
% 27.65/18.17 tff(9849,plain,
% 27.65/18.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB71)) | v130(constB71, 1)),
% 27.65/18.17 inference(modus_ponens,[status(thm)],[9848, 9847])).
% 27.65/18.17 tff(9850,plain,
% 27.65/18.17 (v130(constB71, 1)),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9849, 1929, 9725])).
% 27.65/18.17 tff(9851,plain,
% 27.65/18.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB71) | (~v130(constB71, 1)) | v127(constB71, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB71) | (~v130(constB71, 1)) | v127(constB71, 1))),
% 27.65/18.17 inference(rewrite,[status(thm)],[])).
% 27.65/18.17 tff(9852,plain,
% 27.65/18.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB71) | (~v130(constB71, 1)) | v127(constB71, 1))),
% 27.65/18.17 inference(quant_inst,[status(thm)],[])).
% 27.65/18.17 tff(9853,plain,
% 27.65/18.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB71) | (~v130(constB71, 1)) | v127(constB71, 1)),
% 27.65/18.17 inference(modus_ponens,[status(thm)],[9852, 9851])).
% 27.65/18.17 tff(9854,plain,
% 27.65/18.17 ((~v130(constB71, 1)) | v127(constB71, 1)),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9853, 855, 9801])).
% 27.65/18.17 tff(9855,plain,
% 27.65/18.17 (v127(constB71, 1)),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9854, 9850])).
% 27.65/18.17 tff(9856,plain,
% 27.65/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB71, constB72)) | (~v127(constB71, 1)) | v129(constB72, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB71, constB72)) | (~v127(constB71, 1)) | v129(constB72, 1))),
% 27.65/18.17 inference(rewrite,[status(thm)],[])).
% 27.65/18.17 tff(9857,plain,
% 27.65/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB71, constB72)) | (~v127(constB71, 1)) | v129(constB72, 1))),
% 27.65/18.17 inference(quant_inst,[status(thm)],[])).
% 27.65/18.17 tff(9858,plain,
% 27.65/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB71, constB72)) | (~v127(constB71, 1)) | v129(constB72, 1)),
% 27.65/18.17 inference(modus_ponens,[status(thm)],[9857, 9856])).
% 27.65/18.17 tff(9859,plain,
% 27.65/18.17 ((~v127(constB71, 1)) | v129(constB72, 1)),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9858, 870, 9759])).
% 27.65/18.17 tff(9860,plain,
% 27.65/18.17 (v129(constB72, 1)),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9859, 9855])).
% 27.65/18.17 tff(9861,plain,
% 27.65/18.17 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB72, 1) | (~v129(constB72, 1)) | (~v100(constB72)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB72, 1) | (~v129(constB72, 1)) | (~v100(constB72)))),
% 27.65/18.17 inference(rewrite,[status(thm)],[])).
% 27.65/18.17 tff(9862,plain,
% 27.65/18.17 ((v90(constB72, 1) | (~v100(constB72)) | (~v129(constB72, 1))) <=> (v90(constB72, 1) | (~v129(constB72, 1)) | (~v100(constB72)))),
% 27.65/18.17 inference(rewrite,[status(thm)],[])).
% 27.65/18.17 tff(9863,plain,
% 27.65/18.17 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB72, 1) | (~v100(constB72)) | (~v129(constB72, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB72, 1) | (~v129(constB72, 1)) | (~v100(constB72))))),
% 27.65/18.17 inference(monotonicity,[status(thm)],[9862])).
% 27.65/18.17 tff(9864,plain,
% 27.65/18.17 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB72, 1) | (~v100(constB72)) | (~v129(constB72, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB72, 1) | (~v129(constB72, 1)) | (~v100(constB72)))),
% 27.65/18.17 inference(transitivity,[status(thm)],[9863, 9861])).
% 27.65/18.17 tff(9865,plain,
% 27.65/18.17 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB72, 1) | (~v100(constB72)) | (~v129(constB72, 1)))),
% 27.65/18.17 inference(quant_inst,[status(thm)],[])).
% 27.65/18.17 tff(9866,plain,
% 27.65/18.17 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB72, 1) | (~v129(constB72, 1)) | (~v100(constB72))),
% 27.65/18.17 inference(modus_ponens,[status(thm)],[9865, 9864])).
% 27.65/18.17 tff(9867,plain,
% 27.65/18.17 (v90(constB72, 1) | (~v100(constB72))),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9866, 885, 9860])).
% 27.65/18.17 tff(9868,plain,
% 27.65/18.17 (v90(constB72, 1)),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9867, 9793])).
% 27.65/18.17 tff(9869,plain,
% 27.65/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB72, 1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB72, 1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 1))),
% 27.65/18.17 inference(rewrite,[status(thm)],[])).
% 27.65/18.17 tff(9870,plain,
% 27.65/18.17 (((~nextState(constB72, constB73)) | (~v90(constB72, 1)) | v100(constB73) | v90(constB73, 1)) <=> ((~v90(constB72, 1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 1))),
% 27.65/18.17 inference(rewrite,[status(thm)],[])).
% 27.65/18.17 tff(9871,plain,
% 27.65/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB72, constB73)) | (~v90(constB72, 1)) | v100(constB73) | v90(constB73, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB72, 1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 1)))),
% 27.65/18.17 inference(monotonicity,[status(thm)],[9870])).
% 27.65/18.17 tff(9872,plain,
% 27.65/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB72, constB73)) | (~v90(constB72, 1)) | v100(constB73) | v90(constB73, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB72, 1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 1))),
% 27.65/18.17 inference(transitivity,[status(thm)],[9871, 9869])).
% 27.65/18.17 tff(9873,plain,
% 27.65/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB72, constB73)) | (~v90(constB72, 1)) | v100(constB73) | v90(constB73, 1))),
% 27.65/18.17 inference(quant_inst,[status(thm)],[])).
% 27.65/18.17 tff(9874,plain,
% 27.65/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB72, 1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 1)),
% 27.65/18.17 inference(modus_ponens,[status(thm)],[9873, 9872])).
% 27.65/18.17 tff(9875,plain,
% 27.65/18.17 ((~v90(constB72, 1)) | v100(constB73) | v90(constB73, 1)),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9874, 903, 9825])).
% 27.65/18.17 tff(9876,plain,
% 27.65/18.17 ((~v90(constB72, 1)) | v90(constB73, 1)),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9875, 9837])).
% 27.65/18.17 tff(9877,plain,
% 27.65/18.17 (v90(constB73, 1)),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9876, 9868])).
% 27.65/18.17 tff(9878,plain,
% 27.65/18.17 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB71)) | (~v130(constB71, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB71)) | (~v130(constB71, 0)))),
% 27.65/18.17 inference(rewrite,[status(thm)],[])).
% 27.65/18.17 tff(9879,plain,
% 27.65/18.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB71)) | (~v130(constB71, 0)))),
% 27.65/18.17 inference(quant_inst,[status(thm)],[])).
% 27.65/18.17 tff(9880,plain,
% 27.65/18.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB71)) | (~v130(constB71, 0))),
% 27.65/18.17 inference(modus_ponens,[status(thm)],[9879, 9878])).
% 27.65/18.17 tff(9881,plain,
% 27.65/18.17 (~v130(constB71, 0)),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9880, 1967, 9725])).
% 27.65/18.17 tff(9882,plain,
% 27.65/18.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB71, 0)) | v26(constB71) | v130(constB71, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB71, 0)) | v26(constB71) | v130(constB71, 0))),
% 27.65/18.17 inference(rewrite,[status(thm)],[])).
% 27.65/18.17 tff(9883,plain,
% 27.65/18.17 ((v26(constB71) | v130(constB71, 0) | (~v127(constB71, 0))) <=> ((~v127(constB71, 0)) | v26(constB71) | v130(constB71, 0))),
% 27.65/18.17 inference(rewrite,[status(thm)],[])).
% 27.65/18.17 tff(9884,plain,
% 27.65/18.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB71) | v130(constB71, 0) | (~v127(constB71, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB71, 0)) | v26(constB71) | v130(constB71, 0)))),
% 27.65/18.17 inference(monotonicity,[status(thm)],[9883])).
% 27.65/18.17 tff(9885,plain,
% 27.65/18.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB71) | v130(constB71, 0) | (~v127(constB71, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB71, 0)) | v26(constB71) | v130(constB71, 0))),
% 27.65/18.17 inference(transitivity,[status(thm)],[9884, 9882])).
% 27.65/18.17 tff(9886,plain,
% 27.65/18.17 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB71) | v130(constB71, 0) | (~v127(constB71, 0)))),
% 27.65/18.17 inference(quant_inst,[status(thm)],[])).
% 27.65/18.17 tff(9887,plain,
% 27.65/18.17 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB71, 0)) | v26(constB71) | v130(constB71, 0)),
% 27.65/18.17 inference(modus_ponens,[status(thm)],[9886, 9885])).
% 27.65/18.17 tff(9888,plain,
% 27.65/18.17 ((~v127(constB71, 0)) | v130(constB71, 0)),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9887, 933, 9801])).
% 27.65/18.17 tff(9889,plain,
% 27.65/18.17 (~v127(constB71, 0)),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9888, 9881])).
% 27.65/18.17 tff(9890,plain,
% 27.65/18.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB71, constB72)) | v127(constB71, 0) | (~v129(constB72, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB71, constB72)) | v127(constB71, 0) | (~v129(constB72, 0)))),
% 27.65/18.17 inference(rewrite,[status(thm)],[])).
% 27.65/18.17 tff(9891,plain,
% 27.65/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB71, constB72)) | v127(constB71, 0) | (~v129(constB72, 0)))),
% 27.65/18.17 inference(quant_inst,[status(thm)],[])).
% 27.65/18.17 tff(9892,plain,
% 27.65/18.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB71, constB72)) | v127(constB71, 0) | (~v129(constB72, 0))),
% 27.65/18.17 inference(modus_ponens,[status(thm)],[9891, 9890])).
% 27.65/18.17 tff(9893,plain,
% 27.65/18.17 (v127(constB71, 0) | (~v129(constB72, 0))),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9892, 951, 9759])).
% 27.65/18.17 tff(9894,plain,
% 27.65/18.17 (~v129(constB72, 0)),
% 27.65/18.17 inference(unit_resolution,[status(thm)],[9893, 9889])).
% 27.65/18.17 tff(9895,plain,
% 27.65/18.17 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB72, 0)) | v129(constB72, 0) | (~v100(constB72)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB72, 0)) | v129(constB72, 0) | (~v100(constB72)))),
% 27.65/18.17 inference(rewrite,[status(thm)],[])).
% 27.65/18.17 tff(9896,plain,
% 27.65/18.17 (((~v90(constB72, 0)) | (~v100(constB72)) | v129(constB72, 0)) <=> ((~v90(constB72, 0)) | v129(constB72, 0) | (~v100(constB72)))),
% 27.65/18.17 inference(rewrite,[status(thm)],[])).
% 27.65/18.17 tff(9897,plain,
% 27.65/18.17 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB72, 0)) | (~v100(constB72)) | v129(constB72, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB72, 0)) | v129(constB72, 0) | (~v100(constB72))))),
% 27.65/18.17 inference(monotonicity,[status(thm)],[9896])).
% 27.65/18.17 tff(9898,plain,
% 27.65/18.17 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB72, 0)) | (~v100(constB72)) | v129(constB72, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB72, 0)) | v129(constB72, 0) | (~v100(constB72)))),
% 27.65/18.18 inference(transitivity,[status(thm)],[9897, 9895])).
% 27.65/18.18 tff(9899,plain,
% 27.65/18.18 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB72, 0)) | (~v100(constB72)) | v129(constB72, 0))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(9900,plain,
% 27.65/18.18 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB72, 0)) | v129(constB72, 0) | (~v100(constB72))),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[9899, 9898])).
% 27.65/18.18 tff(9901,plain,
% 27.65/18.18 ((~v90(constB72, 0)) | (~v100(constB72))),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[9900, 966, 9894])).
% 27.65/18.18 tff(9902,plain,
% 27.65/18.18 (~v90(constB72, 0)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[9901, 9793])).
% 27.65/18.18 tff(9903,plain,
% 27.65/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB72, 0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB72, 0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, 0)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(9904,plain,
% 27.65/18.18 (((~nextState(constB72, constB73)) | v90(constB72, 0) | v100(constB73) | (~v90(constB73, 0))) <=> (v90(constB72, 0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, 0)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(9905,plain,
% 27.65/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB72, constB73)) | v90(constB72, 0) | v100(constB73) | (~v90(constB73, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB72, 0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, 0))))),
% 27.65/18.18 inference(monotonicity,[status(thm)],[9904])).
% 27.65/18.18 tff(9906,plain,
% 27.65/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB72, constB73)) | v90(constB72, 0) | v100(constB73) | (~v90(constB73, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB72, 0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, 0)))),
% 27.65/18.18 inference(transitivity,[status(thm)],[9905, 9903])).
% 27.65/18.18 tff(9907,plain,
% 27.65/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB72, constB73)) | v90(constB72, 0) | v100(constB73) | (~v90(constB73, 0)))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(9908,plain,
% 27.65/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB72, 0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, 0))),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[9907, 9906])).
% 27.65/18.18 tff(9909,plain,
% 27.65/18.18 (v90(constB72, 0) | v100(constB73) | (~v90(constB73, 0))),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[9908, 212, 9825])).
% 27.65/18.18 tff(9910,plain,
% 27.65/18.18 (v90(constB72, 0) | (~v90(constB73, 0))),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[9909, 9837])).
% 27.65/18.18 tff(9911,plain,
% 27.65/18.18 (~v90(constB73, 0)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[9910, 9902])).
% 27.65/18.18 tff(9912,plain,
% 27.65/18.18 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB73, 0) | (~v90(constB73, 1)) | (~v90(constB73, 2)) | v125(constB73))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB73, 0) | (~v90(constB73, 1)) | (~v90(constB73, 2)) | v125(constB73))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(9913,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB73, 0) | (~v90(constB73, 1)) | (~v90(constB73, 2)) | v125(constB73))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(9914,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB73, 0) | (~v90(constB73, 1)) | (~v90(constB73, 2)) | v125(constB73)),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[9913, 9912])).
% 27.65/18.18 tff(9915,plain,
% 27.65/18.18 (v125(constB73)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[9914, 2011, 9911, 9877, 9846])).
% 27.65/18.18 tff(9916,plain,
% 27.65/18.18 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB73) | (~v125(constB73)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB73) | (~v125(constB73)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(9917,plain,
% 27.65/18.18 (((~v125(constB73)) | v113(constB73)) <=> (v113(constB73) | (~v125(constB73)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(9918,plain,
% 27.65/18.18 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB73)) | v113(constB73))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB73) | (~v125(constB73))))),
% 27.65/18.18 inference(monotonicity,[status(thm)],[9917])).
% 27.65/18.18 tff(9919,plain,
% 27.65/18.18 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB73)) | v113(constB73))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB73) | (~v125(constB73)))),
% 27.65/18.18 inference(transitivity,[status(thm)],[9918, 9916])).
% 27.65/18.18 tff(9920,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB73)) | v113(constB73))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(9921,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB73) | (~v125(constB73))),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[9920, 9919])).
% 27.65/18.18 tff(9922,plain,
% 27.65/18.18 (v113(constB73)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[9921, 2022, 9915])).
% 27.65/18.18 tff(9923,assumption,(v26(constB73)), introduced(assumption)).
% 27.65/18.18 tff(9924,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB73))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(9925,plain,
% 27.65/18.18 ($false),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[9924, 95, 9923])).
% 27.65/18.18 tff(9926,plain,(~v26(constB73)), inference(lemma,lemma(discharge,[]))).
% 27.65/18.18 tff(9927,plain,
% 27.65/18.18 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | v112(constB73) | (~v113(constB73)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | v112(constB73) | (~v113(constB73)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(9928,plain,
% 27.65/18.18 ((v26(constB73) | (~v113(constB73)) | v112(constB73)) <=> (v26(constB73) | v112(constB73) | (~v113(constB73)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(9929,plain,
% 27.65/18.18 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | v112(constB73) | (~v113(constB73))))),
% 27.65/18.18 inference(monotonicity,[status(thm)],[9928])).
% 27.65/18.18 tff(9930,plain,
% 27.65/18.18 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | v112(constB73) | (~v113(constB73)))),
% 27.65/18.18 inference(transitivity,[status(thm)],[9929, 9927])).
% 27.65/18.18 tff(9931,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(9932,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | v112(constB73) | (~v113(constB73))),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[9931, 9930])).
% 27.65/18.18 tff(9933,plain,
% 27.65/18.18 (v112(constB73) | (~v113(constB73))),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[9932, 328, 9926])).
% 27.65/18.18 tff(9934,plain,
% 27.65/18.18 (v112(constB73)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[9933, 9922])).
% 27.65/18.18 tff(9935,plain,
% 27.65/18.18 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB73) | (~v112(constB73)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB73) | (~v112(constB73)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(9936,plain,
% 27.65/18.18 (((~v112(constB73)) | v108(constB73)) <=> (v108(constB73) | (~v112(constB73)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(9937,plain,
% 27.65/18.18 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB73)) | v108(constB73))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB73) | (~v112(constB73))))),
% 27.65/18.18 inference(monotonicity,[status(thm)],[9936])).
% 27.65/18.18 tff(9938,plain,
% 27.65/18.18 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB73)) | v108(constB73))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB73) | (~v112(constB73)))),
% 27.65/18.18 inference(transitivity,[status(thm)],[9937, 9935])).
% 27.65/18.18 tff(9939,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB73)) | v108(constB73))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(9940,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB73) | (~v112(constB73))),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[9939, 9938])).
% 27.65/18.18 tff(9941,plain,
% 27.65/18.18 (v108(constB73)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[9940, 340, 9934])).
% 27.65/18.18 tff(9942,plain,
% 27.65/18.18 (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(9943,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_73_1')).
% 27.65/18.18 tff(9944,plain,
% 27.65/18.18 (nextState(constB73, constB74)),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[9943, 9942])).
% 27.65/18.18 tff(9945,plain,
% 27.65/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(9946,plain,
% 27.65/18.18 (((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74)) <=> ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(9947,plain,
% 27.65/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73))))),
% 27.65/18.18 inference(monotonicity,[status(thm)],[9946])).
% 27.65/18.18 tff(9948,plain,
% 27.65/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 27.65/18.18 inference(transitivity,[status(thm)],[9947, 9945])).
% 27.65/18.18 tff(9949,plain,
% 27.65/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(9950,plain,
% 27.65/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73))),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[9949, 9948])).
% 27.65/18.18 tff(9951,plain,
% 27.65/18.18 (v110(constB74) | (~v108(constB73))),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[9950, 360, 9944])).
% 27.65/18.18 tff(9952,plain,
% 27.65/18.18 (v110(constB74)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[9951, 9941])).
% 27.65/18.18 tff(9953,plain,
% 27.65/18.18 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(9954,plain,
% 27.65/18.18 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(9955,plain,
% 27.65/18.18 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74))),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[9954, 9953])).
% 27.65/18.18 tff(9956,plain,
% 27.65/18.18 (~v104(constB74)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[9955, 378, 9944, 9822])).
% 27.65/18.18 tff(9957,plain,
% 27.65/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(9958,plain,
% 27.65/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(9959,plain,
% 27.65/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v102(constB74) | v104(constB74)),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[9958, 9957])).
% 27.65/18.18 tff(9960,plain,
% 27.65/18.18 (v102(constB74) | v104(constB74)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[9959, 392, 9944])).
% 27.65/18.18 tff(9961,plain,
% 27.65/18.18 (v102(constB74)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[9960, 9956])).
% 27.65/18.18 tff(9962,plain,
% 27.65/18.18 (v1(constB74) <=> v1(constB74)),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(9963,axiom,(v1(constB74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_74_1')).
% 27.65/18.18 tff(9964,plain,
% 27.65/18.18 (v1(constB74)),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[9963, 9962])).
% 27.65/18.18 tff(9965,plain,
% 27.65/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(9966,plain,
% 27.65/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(9967,plain,
% 27.65/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74))),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[9966, 9965])).
% 27.65/18.18 tff(9968,plain,
% 27.65/18.18 (v101(constB74) | (~v102(constB74))),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[9967, 410, 9944, 9964])).
% 27.65/18.18 tff(9969,plain,
% 27.65/18.18 (v101(constB74)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[9968, 9961])).
% 27.65/18.18 tff(9970,plain,
% 27.65/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(9971,plain,
% 27.65/18.18 (((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74)) <=> ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(9972,plain,
% 27.65/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74))))),
% 27.65/18.18 inference(monotonicity,[status(thm)],[9971])).
% 27.65/18.18 tff(9973,plain,
% 27.65/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 27.65/18.18 inference(transitivity,[status(thm)],[9972, 9970])).
% 27.65/18.18 tff(9974,plain,
% 27.65/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(9975,plain,
% 27.65/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74))),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[9974, 9973])).
% 27.65/18.18 tff(9976,plain,
% 27.65/18.18 (v100(constB74) | (~v101(constB74)) | (~v110(constB74))),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[9975, 425, 9944])).
% 27.65/18.18 tff(9977,plain,
% 27.65/18.18 (v100(constB74) | (~v110(constB74))),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[9976, 9969])).
% 27.65/18.18 tff(9978,plain,
% 27.65/18.18 (v100(constB74)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[9977, 9952])).
% 27.65/18.18 tff(9979,plain,
% 27.65/18.18 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB73)) | (~v90(constB73, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB73)) | (~v90(constB73, 2)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(9980,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB73)) | (~v90(constB73, 2)))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(9981,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB73)) | (~v90(constB73, 2))),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[9980, 9979])).
% 27.65/18.18 tff(9982,plain,
% 27.65/18.18 (~v121(constB73)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[9981, 2130, 9846])).
% 27.65/18.18 tff(9983,plain,
% 27.65/18.18 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB73)) | (~v90(constB73, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB73)) | (~v90(constB73, 2)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(9984,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB73)) | (~v90(constB73, 2)))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(9985,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB73)) | (~v90(constB73, 2))),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[9984, 9983])).
% 27.65/18.18 tff(9986,plain,
% 27.65/18.18 (~v122(constB73)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[9985, 2119, 9846])).
% 27.65/18.18 tff(9987,plain,
% 27.65/18.18 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB73)) | (~v90(constB73, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB73)) | (~v90(constB73, 1)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(9988,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB73)) | (~v90(constB73, 1)))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(9989,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB73)) | (~v90(constB73, 1))),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[9988, 9987])).
% 27.65/18.18 tff(9990,plain,
% 27.65/18.18 (~v119(constB73)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[9989, 2086, 9877])).
% 27.65/18.18 tff(9991,plain,
% 27.65/18.18 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB73)) | (~v90(constB73, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB73)) | (~v90(constB73, 1)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(9992,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB73)) | (~v90(constB73, 1)))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(9993,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB73)) | (~v90(constB73, 1))),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[9992, 9991])).
% 27.65/18.18 tff(9994,plain,
% 27.65/18.18 (~v120(constB73)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[9993, 2141, 9877])).
% 27.65/18.18 tff(9995,plain,
% 27.65/18.18 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB73)) | (~v90(constB73, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB73)) | (~v90(constB73, 1)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(9996,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB73)) | (~v90(constB73, 1)))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(9997,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB73)) | (~v90(constB73, 1))),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[9996, 9995])).
% 27.65/18.18 tff(9998,plain,
% 27.65/18.18 (~v123(constB73)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[9997, 2108, 9877])).
% 27.65/18.18 tff(9999,plain,
% 27.65/18.18 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB73)) | (~v90(constB73, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB73)) | (~v90(constB73, 1)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(10000,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB73)) | (~v90(constB73, 1)))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(10001,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB73)) | (~v90(constB73, 1))),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[10000, 9999])).
% 27.65/18.18 tff(10002,plain,
% 27.65/18.18 (~v124(constB73)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[10001, 2097, 9877])).
% 27.65/18.18 tff(10003,plain,
% 27.65/18.18 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 2)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(10004,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 2)))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(10005,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 2))),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[10004, 10003])).
% 27.65/18.18 tff(10006,plain,
% 27.65/18.18 (~v130(constB73, 2)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[10005, 2155, 10002, 9998, 9994, 9990, 9986, 9982])).
% 27.65/18.18 tff(10007,plain,
% 27.65/18.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB73, 2)) | v26(constB73) | v130(constB73, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB73, 2)) | v26(constB73) | v130(constB73, 2))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(10008,plain,
% 27.65/18.18 ((v26(constB73) | v130(constB73, 2) | (~v127(constB73, 2))) <=> ((~v127(constB73, 2)) | v26(constB73) | v130(constB73, 2))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(10009,plain,
% 27.65/18.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB73) | v130(constB73, 2) | (~v127(constB73, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB73, 2)) | v26(constB73) | v130(constB73, 2)))),
% 27.65/18.18 inference(monotonicity,[status(thm)],[10008])).
% 27.65/18.18 tff(10010,plain,
% 27.65/18.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB73) | v130(constB73, 2) | (~v127(constB73, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB73, 2)) | v26(constB73) | v130(constB73, 2))),
% 27.65/18.18 inference(transitivity,[status(thm)],[10009, 10007])).
% 27.65/18.18 tff(10011,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB73) | v130(constB73, 2) | (~v127(constB73, 2)))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(10012,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB73, 2)) | v26(constB73) | v130(constB73, 2)),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[10011, 10010])).
% 27.65/18.18 tff(10013,plain,
% 27.65/18.18 ((~v127(constB73, 2)) | v130(constB73, 2)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[10012, 455, 9926])).
% 27.65/18.18 tff(10014,plain,
% 27.65/18.18 (~v127(constB73, 2)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[10013, 10006])).
% 27.65/18.18 tff(10015,plain,
% 27.65/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB73, constB74)) | v127(constB73, 2) | (~v129(constB74, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB73, constB74)) | v127(constB73, 2) | (~v129(constB74, 2)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(10016,plain,
% 27.65/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB73, constB74)) | v127(constB73, 2) | (~v129(constB74, 2)))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(10017,plain,
% 27.65/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB73, constB74)) | v127(constB73, 2) | (~v129(constB74, 2))),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[10016, 10015])).
% 27.65/18.18 tff(10018,plain,
% 27.65/18.18 (v127(constB73, 2) | (~v129(constB74, 2))),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[10017, 473, 9944])).
% 27.65/18.18 tff(10019,plain,
% 27.65/18.18 (~v129(constB74, 2)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[10018, 10014])).
% 27.65/18.18 tff(10020,plain,
% 27.65/18.18 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB74, 2)) | v129(constB74, 2) | (~v100(constB74)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB74, 2)) | v129(constB74, 2) | (~v100(constB74)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(10021,plain,
% 27.65/18.18 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB74, 2)) | v129(constB74, 2) | (~v100(constB74)))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(10022,plain,
% 27.65/18.18 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB74, 2)) | v129(constB74, 2) | (~v100(constB74))),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[10021, 10020])).
% 27.65/18.18 tff(10023,plain,
% 27.65/18.18 ((~v90(constB74, 2)) | (~v100(constB74))),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[10022, 488, 10019])).
% 27.65/18.18 tff(10024,plain,
% 27.65/18.18 (~v90(constB74, 2)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[10023, 9978])).
% 27.65/18.18 tff(10025,plain,
% 27.65/18.18 ((~v1(constB75)) <=> (~v1(constB75))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(10026,axiom,(~v1(constB75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_75_1_1')).
% 27.65/18.18 tff(10027,plain,
% 27.65/18.18 (~v1(constB75)),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[10026, 10025])).
% 27.65/18.18 tff(10028,plain,
% 27.65/18.18 (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(10029,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_74_1')).
% 27.65/18.18 tff(10030,plain,
% 27.65/18.18 (nextState(constB74, constB75)),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[10029, 10028])).
% 27.65/18.18 tff(10031,plain,
% 27.65/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(10032,plain,
% 27.65/18.18 (((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75)) <=> (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(10033,plain,
% 27.65/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75))))),
% 27.65/18.18 inference(monotonicity,[status(thm)],[10032])).
% 27.65/18.18 tff(10034,plain,
% 27.65/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 27.65/18.18 inference(transitivity,[status(thm)],[10033, 10031])).
% 27.65/18.18 tff(10035,plain,
% 27.65/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(10036,plain,
% 27.65/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75))),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[10035, 10034])).
% 27.65/18.18 tff(10037,plain,
% 27.65/18.18 (~v101(constB75)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[10036, 138, 10030, 10027])).
% 27.65/18.18 tff(10038,plain,
% 27.65/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(10039,plain,
% 27.65/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(10040,plain,
% 27.65/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75))),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[10039, 10038])).
% 27.65/18.18 tff(10041,plain,
% 27.65/18.18 (v101(constB75) | (~v100(constB75))),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[10040, 155, 10030])).
% 27.65/18.18 tff(10042,plain,
% 27.65/18.18 (~v100(constB75)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[10041, 10037])).
% 27.65/18.18 tff(10043,plain,
% 27.65/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB74, 2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB74, 2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 2)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(10044,plain,
% 27.65/18.18 (((~nextState(constB74, constB75)) | v90(constB74, 2) | v100(constB75) | (~v90(constB75, 2))) <=> (v90(constB74, 2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 2)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(10045,plain,
% 27.65/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB74, constB75)) | v90(constB74, 2) | v100(constB75) | (~v90(constB75, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB74, 2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 2))))),
% 27.65/18.18 inference(monotonicity,[status(thm)],[10044])).
% 27.65/18.18 tff(10046,plain,
% 27.65/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB74, constB75)) | v90(constB74, 2) | v100(constB75) | (~v90(constB75, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB74, 2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 2)))),
% 27.65/18.18 inference(transitivity,[status(thm)],[10045, 10043])).
% 27.65/18.18 tff(10047,plain,
% 27.65/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB74, constB75)) | v90(constB74, 2) | v100(constB75) | (~v90(constB75, 2)))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(10048,plain,
% 27.65/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB74, 2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 2))),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[10047, 10046])).
% 27.65/18.18 tff(10049,plain,
% 27.65/18.18 (v90(constB74, 2) | v100(constB75) | (~v90(constB75, 2))),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[10048, 170, 10030])).
% 27.65/18.18 tff(10050,plain,
% 27.65/18.18 (v90(constB74, 2) | (~v90(constB75, 2))),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[10049, 10042])).
% 27.65/18.18 tff(10051,plain,
% 27.65/18.18 (~v90(constB75, 2)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[10050, 10024])).
% 27.65/18.18 tff(10052,plain,
% 27.65/18.18 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 1)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(10053,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 1)))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(10054,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 1))),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[10053, 10052])).
% 27.65/18.18 tff(10055,plain,
% 27.65/18.18 (~v130(constB73, 1)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[10054, 2214, 10002, 9998, 9994, 9990, 9986, 9982])).
% 27.65/18.18 tff(10056,plain,
% 27.65/18.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB73, 1)) | v26(constB73) | v130(constB73, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB73, 1)) | v26(constB73) | v130(constB73, 1))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(10057,plain,
% 27.65/18.18 ((v26(constB73) | v130(constB73, 1) | (~v127(constB73, 1))) <=> ((~v127(constB73, 1)) | v26(constB73) | v130(constB73, 1))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(10058,plain,
% 27.65/18.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB73) | v130(constB73, 1) | (~v127(constB73, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB73, 1)) | v26(constB73) | v130(constB73, 1)))),
% 27.65/18.18 inference(monotonicity,[status(thm)],[10057])).
% 27.65/18.18 tff(10059,plain,
% 27.65/18.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB73) | v130(constB73, 1) | (~v127(constB73, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB73, 1)) | v26(constB73) | v130(constB73, 1))),
% 27.65/18.18 inference(transitivity,[status(thm)],[10058, 10056])).
% 27.65/18.18 tff(10060,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB73) | v130(constB73, 1) | (~v127(constB73, 1)))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(10061,plain,
% 27.65/18.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB73, 1)) | v26(constB73) | v130(constB73, 1)),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[10060, 10059])).
% 27.65/18.18 tff(10062,plain,
% 27.65/18.18 ((~v127(constB73, 1)) | v130(constB73, 1)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[10061, 541, 9926])).
% 27.65/18.18 tff(10063,plain,
% 27.65/18.18 (~v127(constB73, 1)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[10062, 10055])).
% 27.65/18.18 tff(10064,plain,
% 27.65/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB73, constB74)) | v127(constB73, 1) | (~v129(constB74, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB73, constB74)) | v127(constB73, 1) | (~v129(constB74, 1)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(10065,plain,
% 27.65/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB73, constB74)) | v127(constB73, 1) | (~v129(constB74, 1)))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(10066,plain,
% 27.65/18.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB73, constB74)) | v127(constB73, 1) | (~v129(constB74, 1))),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[10065, 10064])).
% 27.65/18.18 tff(10067,plain,
% 27.65/18.18 (v127(constB73, 1) | (~v129(constB74, 1))),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[10066, 559, 9944])).
% 27.65/18.18 tff(10068,plain,
% 27.65/18.18 (~v129(constB74, 1)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[10067, 10063])).
% 27.65/18.18 tff(10069,plain,
% 27.65/18.18 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB74, 1)) | v129(constB74, 1) | (~v100(constB74)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB74, 1)) | v129(constB74, 1) | (~v100(constB74)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(10070,plain,
% 27.65/18.18 (((~v90(constB74, 1)) | (~v100(constB74)) | v129(constB74, 1)) <=> ((~v90(constB74, 1)) | v129(constB74, 1) | (~v100(constB74)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(10071,plain,
% 27.65/18.18 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB74, 1)) | (~v100(constB74)) | v129(constB74, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB74, 1)) | v129(constB74, 1) | (~v100(constB74))))),
% 27.65/18.18 inference(monotonicity,[status(thm)],[10070])).
% 27.65/18.18 tff(10072,plain,
% 27.65/18.18 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB74, 1)) | (~v100(constB74)) | v129(constB74, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB74, 1)) | v129(constB74, 1) | (~v100(constB74)))),
% 27.65/18.18 inference(transitivity,[status(thm)],[10071, 10069])).
% 27.65/18.18 tff(10073,plain,
% 27.65/18.18 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB74, 1)) | (~v100(constB74)) | v129(constB74, 1))),
% 27.65/18.18 inference(quant_inst,[status(thm)],[])).
% 27.65/18.18 tff(10074,plain,
% 27.65/18.18 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB74, 1)) | v129(constB74, 1) | (~v100(constB74))),
% 27.65/18.18 inference(modus_ponens,[status(thm)],[10073, 10072])).
% 27.65/18.18 tff(10075,plain,
% 27.65/18.18 ((~v90(constB74, 1)) | (~v100(constB74))),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[10074, 574, 10068])).
% 27.65/18.18 tff(10076,plain,
% 27.65/18.18 (~v90(constB74, 1)),
% 27.65/18.18 inference(unit_resolution,[status(thm)],[10075, 9978])).
% 27.65/18.18 tff(10077,plain,
% 27.65/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB74, 1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB74, 1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 1)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(10078,plain,
% 27.65/18.18 (((~nextState(constB74, constB75)) | v90(constB74, 1) | v100(constB75) | (~v90(constB75, 1))) <=> (v90(constB74, 1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 1)))),
% 27.65/18.18 inference(rewrite,[status(thm)],[])).
% 27.65/18.18 tff(10079,plain,
% 27.65/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB74, constB75)) | v90(constB74, 1) | v100(constB75) | (~v90(constB75, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB74, 1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 1))))),
% 27.65/18.18 inference(monotonicity,[status(thm)],[10078])).
% 27.65/18.18 tff(10080,plain,
% 27.65/18.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB74, constB75)) | v90(constB74, 1) | v100(constB75) | (~v90(constB75, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB74, 1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 1)))),
% 27.65/18.19 inference(transitivity,[status(thm)],[10079, 10077])).
% 27.65/18.19 tff(10081,plain,
% 27.65/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB74, constB75)) | v90(constB74, 1) | v100(constB75) | (~v90(constB75, 1)))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10082,plain,
% 27.65/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB74, 1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 1))),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10081, 10080])).
% 27.65/18.19 tff(10083,plain,
% 27.65/18.19 (v90(constB74, 1) | v100(constB75) | (~v90(constB75, 1))),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10082, 191, 10030])).
% 27.65/18.19 tff(10084,plain,
% 27.65/18.19 (v90(constB74, 1) | (~v90(constB75, 1))),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10083, 10042])).
% 27.65/18.19 tff(10085,plain,
% 27.65/18.19 (~v90(constB75, 1)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10084, 10076])).
% 27.65/18.19 tff(10086,plain,
% 27.65/18.19 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, 0))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10087,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, 0))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10088,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, 0)),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10087, 10086])).
% 27.65/18.19 tff(10089,plain,
% 27.65/18.19 (v130(constB73, 0)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10088, 2258, 10002, 9998, 9994, 9990, 9986, 9982])).
% 27.65/18.19 tff(10090,plain,
% 27.65/18.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB73) | (~v130(constB73, 0)) | v127(constB73, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB73) | (~v130(constB73, 0)) | v127(constB73, 0))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10091,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB73) | (~v130(constB73, 0)) | v127(constB73, 0))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10092,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB73) | (~v130(constB73, 0)) | v127(constB73, 0)),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10091, 10090])).
% 27.65/18.19 tff(10093,plain,
% 27.65/18.19 ((~v130(constB73, 0)) | v127(constB73, 0)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10092, 612, 9926])).
% 27.65/18.19 tff(10094,plain,
% 27.65/18.19 (v127(constB73, 0)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10093, 10089])).
% 27.65/18.19 tff(10095,plain,
% 27.65/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB73, constB74)) | (~v127(constB73, 0)) | v129(constB74, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB73, constB74)) | (~v127(constB73, 0)) | v129(constB74, 0))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10096,plain,
% 27.65/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB73, constB74)) | (~v127(constB73, 0)) | v129(constB74, 0))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10097,plain,
% 27.65/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB73, constB74)) | (~v127(constB73, 0)) | v129(constB74, 0)),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10096, 10095])).
% 27.65/18.19 tff(10098,plain,
% 27.65/18.19 ((~v127(constB73, 0)) | v129(constB74, 0)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10097, 627, 9944])).
% 27.65/18.19 tff(10099,plain,
% 27.65/18.19 (v129(constB74, 0)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10098, 10094])).
% 27.65/18.19 tff(10100,plain,
% 27.65/18.19 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB74, 0) | (~v129(constB74, 0)) | (~v100(constB74)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB74, 0) | (~v129(constB74, 0)) | (~v100(constB74)))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10101,plain,
% 27.65/18.19 ((v90(constB74, 0) | (~v100(constB74)) | (~v129(constB74, 0))) <=> (v90(constB74, 0) | (~v129(constB74, 0)) | (~v100(constB74)))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10102,plain,
% 27.65/18.19 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB74, 0) | (~v100(constB74)) | (~v129(constB74, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB74, 0) | (~v129(constB74, 0)) | (~v100(constB74))))),
% 27.65/18.19 inference(monotonicity,[status(thm)],[10101])).
% 27.65/18.19 tff(10103,plain,
% 27.65/18.19 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB74, 0) | (~v100(constB74)) | (~v129(constB74, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB74, 0) | (~v129(constB74, 0)) | (~v100(constB74)))),
% 27.65/18.19 inference(transitivity,[status(thm)],[10102, 10100])).
% 27.65/18.19 tff(10104,plain,
% 27.65/18.19 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB74, 0) | (~v100(constB74)) | (~v129(constB74, 0)))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10105,plain,
% 27.65/18.19 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB74, 0) | (~v129(constB74, 0)) | (~v100(constB74))),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10104, 10103])).
% 27.65/18.19 tff(10106,plain,
% 27.65/18.19 (v90(constB74, 0) | (~v100(constB74))),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10105, 642, 10099])).
% 27.65/18.19 tff(10107,plain,
% 27.65/18.19 (v90(constB74, 0)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10106, 9978])).
% 27.65/18.19 tff(10108,plain,
% 27.65/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB74, 0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB74, 0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, 0))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10109,plain,
% 27.65/18.19 (((~nextState(constB74, constB75)) | (~v90(constB74, 0)) | v100(constB75) | v90(constB75, 0)) <=> ((~v90(constB74, 0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, 0))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10110,plain,
% 27.65/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB74, constB75)) | (~v90(constB74, 0)) | v100(constB75) | v90(constB75, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB74, 0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, 0)))),
% 27.65/18.19 inference(monotonicity,[status(thm)],[10109])).
% 27.65/18.19 tff(10111,plain,
% 27.65/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB74, constB75)) | (~v90(constB74, 0)) | v100(constB75) | v90(constB75, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB74, 0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, 0))),
% 27.65/18.19 inference(transitivity,[status(thm)],[10110, 10108])).
% 27.65/18.19 tff(10112,plain,
% 27.65/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB74, constB75)) | (~v90(constB74, 0)) | v100(constB75) | v90(constB75, 0))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10113,plain,
% 27.65/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB74, 0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, 0)),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10112, 10111])).
% 27.65/18.19 tff(10114,plain,
% 27.65/18.19 ((~v90(constB74, 0)) | v100(constB75) | v90(constB75, 0)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10113, 660, 10030])).
% 27.65/18.19 tff(10115,plain,
% 27.65/18.19 ((~v90(constB74, 0)) | v90(constB75, 0)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10114, 10042])).
% 27.65/18.19 tff(10116,plain,
% 27.65/18.19 (v90(constB75, 0)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10115, 10107])).
% 27.65/18.19 tff(10117,plain,
% 27.65/18.19 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB75, 0)) | v90(constB75, 1) | v90(constB75, 2) | v120(constB75))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB75, 0)) | v90(constB75, 1) | v90(constB75, 2) | v120(constB75))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10118,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB75, 0)) | v90(constB75, 1) | v90(constB75, 2) | v120(constB75))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10119,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB75, 0)) | v90(constB75, 1) | v90(constB75, 2) | v120(constB75)),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10118, 10117])).
% 27.65/18.19 tff(10120,plain,
% 27.65/18.19 (v120(constB75)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10119, 679, 10116, 10085, 10051])).
% 27.65/18.19 tff(10121,plain,
% 27.65/18.19 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB75)) | v118(constB75))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB75)) | v118(constB75))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10122,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB75)) | v118(constB75))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10123,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB75)) | v118(constB75)),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10122, 10121])).
% 27.65/18.19 tff(10124,plain,
% 27.65/18.19 (v118(constB75)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10123, 690, 10120])).
% 27.65/18.19 tff(10125,plain,
% 27.65/18.19 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB75)) | v117(constB75))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB75)) | v117(constB75))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10126,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB75)) | v117(constB75))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10127,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB75)) | v117(constB75)),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10126, 10125])).
% 27.65/18.19 tff(10128,plain,
% 27.65/18.19 (v117(constB75)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10127, 258, 10124])).
% 27.65/18.19 tff(10129,plain,
% 27.65/18.19 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB75) | (~v117(constB75)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB75) | (~v117(constB75)))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10130,plain,
% 27.65/18.19 (((~v117(constB75)) | v116(constB75)) <=> (v116(constB75) | (~v117(constB75)))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10131,plain,
% 27.65/18.19 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB75)) | v116(constB75))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB75) | (~v117(constB75))))),
% 27.65/18.19 inference(monotonicity,[status(thm)],[10130])).
% 27.65/18.19 tff(10132,plain,
% 27.65/18.19 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB75)) | v116(constB75))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB75) | (~v117(constB75)))),
% 27.65/18.19 inference(transitivity,[status(thm)],[10131, 10129])).
% 27.65/18.19 tff(10133,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB75)) | v116(constB75))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10134,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB75) | (~v117(constB75))),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10133, 10132])).
% 27.65/18.19 tff(10135,plain,
% 27.65/18.19 (v116(constB75)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10134, 272, 10128])).
% 27.65/18.19 tff(10136,plain,
% 27.65/18.19 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB75) | (~v116(constB75)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB75) | (~v116(constB75)))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10137,plain,
% 27.65/18.19 (((~v116(constB75)) | v115(constB75)) <=> (v115(constB75) | (~v116(constB75)))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10138,plain,
% 27.65/18.19 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB75)) | v115(constB75))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB75) | (~v116(constB75))))),
% 27.65/18.19 inference(monotonicity,[status(thm)],[10137])).
% 27.65/18.19 tff(10139,plain,
% 27.65/18.19 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB75)) | v115(constB75))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB75) | (~v116(constB75)))),
% 27.65/18.19 inference(transitivity,[status(thm)],[10138, 10136])).
% 27.65/18.19 tff(10140,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB75)) | v115(constB75))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10141,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB75) | (~v116(constB75))),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10140, 10139])).
% 27.65/18.19 tff(10142,plain,
% 27.65/18.19 (v115(constB75)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10141, 286, 10135])).
% 27.65/18.19 tff(10143,plain,
% 27.65/18.19 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB75)) | v114(constB75))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB75)) | v114(constB75))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10144,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB75)) | v114(constB75))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10145,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB75)) | v114(constB75)),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10144, 10143])).
% 27.65/18.19 tff(10146,plain,
% 27.65/18.19 (v114(constB75)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10145, 300, 10142])).
% 27.65/18.19 tff(10147,plain,
% 27.65/18.19 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB75)) | v113(constB75))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB75)) | v113(constB75))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10148,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB75)) | v113(constB75))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10149,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB75)) | v113(constB75)),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10148, 10147])).
% 27.65/18.19 tff(10150,plain,
% 27.65/18.19 (v113(constB75)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10149, 314, 10146])).
% 27.65/18.19 tff(10151,assumption,(v26(constB75)), introduced(assumption)).
% 27.65/18.19 tff(10152,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB75))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10153,plain,
% 27.65/18.19 ($false),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10152, 95, 10151])).
% 27.65/18.19 tff(10154,plain,(~v26(constB75)), inference(lemma,lemma(discharge,[]))).
% 27.65/18.19 tff(10155,plain,
% 27.65/18.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | (~v113(constB75)) | v112(constB75))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10156,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10157,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | (~v113(constB75)) | v112(constB75)),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10156, 10155])).
% 27.65/18.19 tff(10158,plain,
% 27.65/18.19 ((~v113(constB75)) | v112(constB75)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10157, 328, 10154])).
% 27.65/18.19 tff(10159,plain,
% 27.65/18.19 (v112(constB75)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10158, 10150])).
% 27.65/18.19 tff(10160,plain,
% 27.65/18.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB75) | (~v112(constB75)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v112(constB75)))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10161,plain,
% 27.65/18.19 (((~v112(constB75)) | v108(constB75)) <=> (v108(constB75) | (~v112(constB75)))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10162,plain,
% 27.65/18.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB75)) | v108(constB75))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB75) | (~v112(constB75))))),
% 27.65/18.19 inference(monotonicity,[status(thm)],[10161])).
% 27.65/18.19 tff(10163,plain,
% 27.65/18.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB75)) | v108(constB75))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v112(constB75)))),
% 27.65/18.19 inference(transitivity,[status(thm)],[10162, 10160])).
% 27.65/18.19 tff(10164,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB75)) | v108(constB75))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10165,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v112(constB75))),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10164, 10163])).
% 27.65/18.19 tff(10166,plain,
% 27.65/18.19 (v108(constB75)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10165, 340, 10159])).
% 27.65/18.19 tff(10167,plain,
% 27.65/18.19 (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10168,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_75_1')).
% 27.65/18.19 tff(10169,plain,
% 27.65/18.19 (nextState(constB75, constB76)),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10168, 10167])).
% 27.65/18.19 tff(10170,plain,
% 27.65/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10171,plain,
% 27.65/18.19 (((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76)) <=> ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10172,plain,
% 27.65/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75))))),
% 27.65/18.19 inference(monotonicity,[status(thm)],[10171])).
% 27.65/18.19 tff(10173,plain,
% 27.65/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 27.65/18.19 inference(transitivity,[status(thm)],[10172, 10170])).
% 27.65/18.19 tff(10174,plain,
% 27.65/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10175,plain,
% 27.65/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75))),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10174, 10173])).
% 27.65/18.19 tff(10176,plain,
% 27.65/18.19 (v110(constB76) | (~v108(constB75))),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10175, 360, 10169])).
% 27.65/18.19 tff(10177,plain,
% 27.65/18.19 (v110(constB76)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10176, 10166])).
% 27.65/18.19 tff(10178,plain,
% 27.65/18.19 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10179,plain,
% 27.65/18.19 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10180,plain,
% 27.65/18.19 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76))),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10179, 10178])).
% 27.65/18.19 tff(10181,plain,
% 27.65/18.19 (~v104(constB76)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10180, 378, 10169, 10027])).
% 27.65/18.19 tff(10182,plain,
% 27.65/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10183,plain,
% 27.65/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10184,plain,
% 27.65/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v102(constB76) | v104(constB76)),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10183, 10182])).
% 27.65/18.19 tff(10185,plain,
% 27.65/18.19 (v102(constB76) | v104(constB76)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10184, 392, 10169])).
% 27.65/18.19 tff(10186,plain,
% 27.65/18.19 (v102(constB76)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10185, 10181])).
% 27.65/18.19 tff(10187,plain,
% 27.65/18.19 (v1(constB76) <=> v1(constB76)),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10188,axiom,(v1(constB76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_76_1')).
% 27.65/18.19 tff(10189,plain,
% 27.65/18.19 (v1(constB76)),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10188, 10187])).
% 27.65/18.19 tff(10190,plain,
% 27.65/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10191,plain,
% 27.65/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10192,plain,
% 27.65/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76))),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10191, 10190])).
% 27.65/18.19 tff(10193,plain,
% 27.65/18.19 (v101(constB76) | (~v102(constB76))),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10192, 410, 10169, 10189])).
% 27.65/18.19 tff(10194,plain,
% 27.65/18.19 (v101(constB76)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10193, 10186])).
% 27.65/18.19 tff(10195,plain,
% 27.65/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10196,plain,
% 27.65/18.19 (((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76)) <=> ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10197,plain,
% 27.65/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76))))),
% 27.65/18.19 inference(monotonicity,[status(thm)],[10196])).
% 27.65/18.19 tff(10198,plain,
% 27.65/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 27.65/18.19 inference(transitivity,[status(thm)],[10197, 10195])).
% 27.65/18.19 tff(10199,plain,
% 27.65/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10200,plain,
% 27.65/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76))),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10199, 10198])).
% 27.65/18.19 tff(10201,plain,
% 27.65/18.19 (v100(constB76) | (~v101(constB76)) | (~v110(constB76))),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10200, 425, 10169])).
% 27.65/18.19 tff(10202,plain,
% 27.65/18.19 (v100(constB76) | (~v110(constB76))),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10201, 10194])).
% 27.65/18.19 tff(10203,plain,
% 27.65/18.19 (v100(constB76)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10202, 10177])).
% 27.65/18.19 tff(10204,plain,
% 27.65/18.19 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB75)) | (~v130(constB75, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB75)) | (~v130(constB75, 2)))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10205,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB75)) | (~v130(constB75, 2)))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10206,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB75)) | (~v130(constB75, 2))),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10205, 10204])).
% 27.65/18.19 tff(10207,plain,
% 27.65/18.19 (~v130(constB75, 2)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10206, 785, 10120])).
% 27.65/18.19 tff(10208,plain,
% 27.65/18.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB75, 2)) | v26(constB75) | v130(constB75, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB75, 2)) | v26(constB75) | v130(constB75, 2))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10209,plain,
% 27.65/18.19 ((v26(constB75) | v130(constB75, 2) | (~v127(constB75, 2))) <=> ((~v127(constB75, 2)) | v26(constB75) | v130(constB75, 2))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10210,plain,
% 27.65/18.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB75) | v130(constB75, 2) | (~v127(constB75, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB75, 2)) | v26(constB75) | v130(constB75, 2)))),
% 27.65/18.19 inference(monotonicity,[status(thm)],[10209])).
% 27.65/18.19 tff(10211,plain,
% 27.65/18.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB75) | v130(constB75, 2) | (~v127(constB75, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB75, 2)) | v26(constB75) | v130(constB75, 2))),
% 27.65/18.19 inference(transitivity,[status(thm)],[10210, 10208])).
% 27.65/18.19 tff(10212,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB75) | v130(constB75, 2) | (~v127(constB75, 2)))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10213,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB75, 2)) | v26(constB75) | v130(constB75, 2)),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10212, 10211])).
% 27.65/18.19 tff(10214,plain,
% 27.65/18.19 ((~v127(constB75, 2)) | v130(constB75, 2)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10213, 455, 10154])).
% 27.65/18.19 tff(10215,plain,
% 27.65/18.19 (~v127(constB75, 2)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10214, 10207])).
% 27.65/18.19 tff(10216,plain,
% 27.65/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB75, constB76)) | v127(constB75, 2) | (~v129(constB76, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB75, constB76)) | v127(constB75, 2) | (~v129(constB76, 2)))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10217,plain,
% 27.65/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB75, constB76)) | v127(constB75, 2) | (~v129(constB76, 2)))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10218,plain,
% 27.65/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB75, constB76)) | v127(constB75, 2) | (~v129(constB76, 2))),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10217, 10216])).
% 27.65/18.19 tff(10219,plain,
% 27.65/18.19 (v127(constB75, 2) | (~v129(constB76, 2))),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10218, 473, 10169])).
% 27.65/18.19 tff(10220,plain,
% 27.65/18.19 (~v129(constB76, 2)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10219, 10215])).
% 27.65/18.19 tff(10221,plain,
% 27.65/18.19 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB76, 2)) | v129(constB76, 2) | (~v100(constB76)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB76, 2)) | v129(constB76, 2) | (~v100(constB76)))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10222,plain,
% 27.65/18.19 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB76, 2)) | v129(constB76, 2) | (~v100(constB76)))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10223,plain,
% 27.65/18.19 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB76, 2)) | v129(constB76, 2) | (~v100(constB76))),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10222, 10221])).
% 27.65/18.19 tff(10224,plain,
% 27.65/18.19 ((~v90(constB76, 2)) | (~v100(constB76))),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10223, 488, 10220])).
% 27.65/18.19 tff(10225,plain,
% 27.65/18.19 (~v90(constB76, 2)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10224, 10203])).
% 27.65/18.19 tff(10226,plain,
% 27.65/18.19 ((~v1(constB77)) <=> (~v1(constB77))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10227,axiom,(~v1(constB77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_77_1_1')).
% 27.65/18.19 tff(10228,plain,
% 27.65/18.19 (~v1(constB77)),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10227, 10226])).
% 27.65/18.19 tff(10229,plain,
% 27.65/18.19 (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10230,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_76_1')).
% 27.65/18.19 tff(10231,plain,
% 27.65/18.19 (nextState(constB76, constB77)),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10230, 10229])).
% 27.65/18.19 tff(10232,plain,
% 27.65/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10233,plain,
% 27.65/18.19 (((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77)) <=> (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10234,plain,
% 27.65/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77))))),
% 27.65/18.19 inference(monotonicity,[status(thm)],[10233])).
% 27.65/18.19 tff(10235,plain,
% 27.65/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 27.65/18.19 inference(transitivity,[status(thm)],[10234, 10232])).
% 27.65/18.19 tff(10236,plain,
% 27.65/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10237,plain,
% 27.65/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77))),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10236, 10235])).
% 27.65/18.19 tff(10238,plain,
% 27.65/18.19 (~v101(constB77)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10237, 138, 10231, 10228])).
% 27.65/18.19 tff(10239,plain,
% 27.65/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10240,plain,
% 27.65/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10241,plain,
% 27.65/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77))),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10240, 10239])).
% 27.65/18.19 tff(10242,plain,
% 27.65/18.19 (v101(constB77) | (~v100(constB77))),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10241, 155, 10231])).
% 27.65/18.19 tff(10243,plain,
% 27.65/18.19 (~v100(constB77)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10242, 10238])).
% 27.65/18.19 tff(10244,plain,
% 27.65/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB76, 2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB76, 2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 2)))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10245,plain,
% 27.65/18.19 (((~nextState(constB76, constB77)) | v90(constB76, 2) | v100(constB77) | (~v90(constB77, 2))) <=> (v90(constB76, 2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 2)))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10246,plain,
% 27.65/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB76, constB77)) | v90(constB76, 2) | v100(constB77) | (~v90(constB77, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB76, 2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 2))))),
% 27.65/18.19 inference(monotonicity,[status(thm)],[10245])).
% 27.65/18.19 tff(10247,plain,
% 27.65/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB76, constB77)) | v90(constB76, 2) | v100(constB77) | (~v90(constB77, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB76, 2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 2)))),
% 27.65/18.19 inference(transitivity,[status(thm)],[10246, 10244])).
% 27.65/18.19 tff(10248,plain,
% 27.65/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB76, constB77)) | v90(constB76, 2) | v100(constB77) | (~v90(constB77, 2)))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10249,plain,
% 27.65/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB76, 2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 2))),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10248, 10247])).
% 27.65/18.19 tff(10250,plain,
% 27.65/18.19 (v90(constB76, 2) | v100(constB77) | (~v90(constB77, 2))),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10249, 170, 10231])).
% 27.65/18.19 tff(10251,plain,
% 27.65/18.19 (v90(constB76, 2) | (~v90(constB77, 2))),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10250, 10243])).
% 27.65/18.19 tff(10252,plain,
% 27.65/18.19 (~v90(constB77, 2)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10251, 10225])).
% 27.65/18.19 tff(10253,plain,
% 27.65/18.19 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB75)) | v130(constB75, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB75)) | v130(constB75, 1))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10254,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB75)) | v130(constB75, 1))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10255,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB75)) | v130(constB75, 1)),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10254, 10253])).
% 27.65/18.19 tff(10256,plain,
% 27.65/18.19 (v130(constB75, 1)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10255, 841, 10120])).
% 27.65/18.19 tff(10257,plain,
% 27.65/18.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB75) | (~v130(constB75, 1)) | v127(constB75, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB75) | (~v130(constB75, 1)) | v127(constB75, 1))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10258,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB75) | (~v130(constB75, 1)) | v127(constB75, 1))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10259,plain,
% 27.65/18.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB75) | (~v130(constB75, 1)) | v127(constB75, 1)),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10258, 10257])).
% 27.65/18.19 tff(10260,plain,
% 27.65/18.19 ((~v130(constB75, 1)) | v127(constB75, 1)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10259, 855, 10154])).
% 27.65/18.19 tff(10261,plain,
% 27.65/18.19 (v127(constB75, 1)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10260, 10256])).
% 27.65/18.19 tff(10262,plain,
% 27.65/18.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB75, constB76)) | (~v127(constB75, 1)) | v129(constB76, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB75, constB76)) | (~v127(constB75, 1)) | v129(constB76, 1))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10263,plain,
% 27.65/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB75, constB76)) | (~v127(constB75, 1)) | v129(constB76, 1))),
% 27.65/18.19 inference(quant_inst,[status(thm)],[])).
% 27.65/18.19 tff(10264,plain,
% 27.65/18.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB75, constB76)) | (~v127(constB75, 1)) | v129(constB76, 1)),
% 27.65/18.19 inference(modus_ponens,[status(thm)],[10263, 10262])).
% 27.65/18.19 tff(10265,plain,
% 27.65/18.19 ((~v127(constB75, 1)) | v129(constB76, 1)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10264, 870, 10169])).
% 27.65/18.19 tff(10266,plain,
% 27.65/18.19 (v129(constB76, 1)),
% 27.65/18.19 inference(unit_resolution,[status(thm)],[10265, 10261])).
% 27.65/18.19 tff(10267,plain,
% 27.65/18.19 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB76, 1) | (~v129(constB76, 1)) | (~v100(constB76)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB76, 1) | (~v129(constB76, 1)) | (~v100(constB76)))),
% 27.65/18.19 inference(rewrite,[status(thm)],[])).
% 27.65/18.19 tff(10268,plain,
% 27.65/18.19 ((v90(constB76, 1) | (~v100(constB76)) | (~v129(constB76, 1))) <=> (v90(constB76, 1) | (~v129(constB76, 1)) | (~v100(constB76)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10269,plain,
% 27.65/18.20 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB76, 1) | (~v100(constB76)) | (~v129(constB76, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB76, 1) | (~v129(constB76, 1)) | (~v100(constB76))))),
% 27.65/18.20 inference(monotonicity,[status(thm)],[10268])).
% 27.65/18.20 tff(10270,plain,
% 27.65/18.20 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB76, 1) | (~v100(constB76)) | (~v129(constB76, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB76, 1) | (~v129(constB76, 1)) | (~v100(constB76)))),
% 27.65/18.20 inference(transitivity,[status(thm)],[10269, 10267])).
% 27.65/18.20 tff(10271,plain,
% 27.65/18.20 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB76, 1) | (~v100(constB76)) | (~v129(constB76, 1)))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10272,plain,
% 27.65/18.20 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB76, 1) | (~v129(constB76, 1)) | (~v100(constB76))),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10271, 10270])).
% 27.65/18.20 tff(10273,plain,
% 27.65/18.20 (v90(constB76, 1) | (~v100(constB76))),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10272, 885, 10266])).
% 27.65/18.20 tff(10274,plain,
% 27.65/18.20 (v90(constB76, 1)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10273, 10203])).
% 27.65/18.20 tff(10275,plain,
% 27.65/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB76, 1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB76, 1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, 1))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10276,plain,
% 27.65/18.20 (((~nextState(constB76, constB77)) | (~v90(constB76, 1)) | v100(constB77) | v90(constB77, 1)) <=> ((~v90(constB76, 1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, 1))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10277,plain,
% 27.65/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, 1)) | v100(constB77) | v90(constB77, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB76, 1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, 1)))),
% 27.65/18.20 inference(monotonicity,[status(thm)],[10276])).
% 27.65/18.20 tff(10278,plain,
% 27.65/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, 1)) | v100(constB77) | v90(constB77, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB76, 1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, 1))),
% 27.65/18.20 inference(transitivity,[status(thm)],[10277, 10275])).
% 27.65/18.20 tff(10279,plain,
% 27.65/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, 1)) | v100(constB77) | v90(constB77, 1))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10280,plain,
% 27.65/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB76, 1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, 1)),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10279, 10278])).
% 27.65/18.20 tff(10281,plain,
% 27.65/18.20 ((~v90(constB76, 1)) | v100(constB77) | v90(constB77, 1)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10280, 903, 10231])).
% 27.65/18.20 tff(10282,plain,
% 27.65/18.20 ((~v90(constB76, 1)) | v90(constB77, 1)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10281, 10243])).
% 27.65/18.20 tff(10283,plain,
% 27.65/18.20 (v90(constB77, 1)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10282, 10274])).
% 27.65/18.20 tff(10284,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB75)) | (~v130(constB75, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB75)) | (~v130(constB75, 0)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10285,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB75)) | (~v130(constB75, 0)))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10286,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB75)) | (~v130(constB75, 0))),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10285, 10284])).
% 27.65/18.20 tff(10287,plain,
% 27.65/18.20 (~v130(constB75, 0)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10286, 919, 10120])).
% 27.65/18.20 tff(10288,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB75, 0)) | v26(constB75) | v130(constB75, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB75, 0)) | v26(constB75) | v130(constB75, 0))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10289,plain,
% 27.65/18.20 ((v26(constB75) | v130(constB75, 0) | (~v127(constB75, 0))) <=> ((~v127(constB75, 0)) | v26(constB75) | v130(constB75, 0))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10290,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB75) | v130(constB75, 0) | (~v127(constB75, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB75, 0)) | v26(constB75) | v130(constB75, 0)))),
% 27.65/18.20 inference(monotonicity,[status(thm)],[10289])).
% 27.65/18.20 tff(10291,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB75) | v130(constB75, 0) | (~v127(constB75, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB75, 0)) | v26(constB75) | v130(constB75, 0))),
% 27.65/18.20 inference(transitivity,[status(thm)],[10290, 10288])).
% 27.65/18.20 tff(10292,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB75) | v130(constB75, 0) | (~v127(constB75, 0)))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10293,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB75, 0)) | v26(constB75) | v130(constB75, 0)),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10292, 10291])).
% 27.65/18.20 tff(10294,plain,
% 27.65/18.20 ((~v127(constB75, 0)) | v130(constB75, 0)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10293, 933, 10154])).
% 27.65/18.20 tff(10295,plain,
% 27.65/18.20 (~v127(constB75, 0)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10294, 10287])).
% 27.65/18.20 tff(10296,plain,
% 27.65/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB75, constB76)) | v127(constB75, 0) | (~v129(constB76, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB75, constB76)) | v127(constB75, 0) | (~v129(constB76, 0)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10297,plain,
% 27.65/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB75, constB76)) | v127(constB75, 0) | (~v129(constB76, 0)))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10298,plain,
% 27.65/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB75, constB76)) | v127(constB75, 0) | (~v129(constB76, 0))),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10297, 10296])).
% 27.65/18.20 tff(10299,plain,
% 27.65/18.20 (v127(constB75, 0) | (~v129(constB76, 0))),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10298, 951, 10169])).
% 27.65/18.20 tff(10300,plain,
% 27.65/18.20 (~v129(constB76, 0)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10299, 10295])).
% 27.65/18.20 tff(10301,plain,
% 27.65/18.20 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB76, 0)) | v129(constB76, 0) | (~v100(constB76)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB76, 0)) | v129(constB76, 0) | (~v100(constB76)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10302,plain,
% 27.65/18.20 (((~v90(constB76, 0)) | (~v100(constB76)) | v129(constB76, 0)) <=> ((~v90(constB76, 0)) | v129(constB76, 0) | (~v100(constB76)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10303,plain,
% 27.65/18.20 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB76, 0)) | (~v100(constB76)) | v129(constB76, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB76, 0)) | v129(constB76, 0) | (~v100(constB76))))),
% 27.65/18.20 inference(monotonicity,[status(thm)],[10302])).
% 27.65/18.20 tff(10304,plain,
% 27.65/18.20 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB76, 0)) | (~v100(constB76)) | v129(constB76, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB76, 0)) | v129(constB76, 0) | (~v100(constB76)))),
% 27.65/18.20 inference(transitivity,[status(thm)],[10303, 10301])).
% 27.65/18.20 tff(10305,plain,
% 27.65/18.20 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB76, 0)) | (~v100(constB76)) | v129(constB76, 0))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10306,plain,
% 27.65/18.20 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB76, 0)) | v129(constB76, 0) | (~v100(constB76))),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10305, 10304])).
% 27.65/18.20 tff(10307,plain,
% 27.65/18.20 ((~v90(constB76, 0)) | (~v100(constB76))),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10306, 966, 10300])).
% 27.65/18.20 tff(10308,plain,
% 27.65/18.20 (~v90(constB76, 0)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10307, 10203])).
% 27.65/18.20 tff(10309,plain,
% 27.65/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB76, 0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB76, 0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 0)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10310,plain,
% 27.65/18.20 (((~nextState(constB76, constB77)) | v90(constB76, 0) | v100(constB77) | (~v90(constB77, 0))) <=> (v90(constB76, 0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 0)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10311,plain,
% 27.65/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB76, constB77)) | v90(constB76, 0) | v100(constB77) | (~v90(constB77, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB76, 0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 0))))),
% 27.65/18.20 inference(monotonicity,[status(thm)],[10310])).
% 27.65/18.20 tff(10312,plain,
% 27.65/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB76, constB77)) | v90(constB76, 0) | v100(constB77) | (~v90(constB77, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB76, 0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 0)))),
% 27.65/18.20 inference(transitivity,[status(thm)],[10311, 10309])).
% 27.65/18.20 tff(10313,plain,
% 27.65/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB76, constB77)) | v90(constB76, 0) | v100(constB77) | (~v90(constB77, 0)))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10314,plain,
% 27.65/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB76, 0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 0))),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10313, 10312])).
% 27.65/18.20 tff(10315,plain,
% 27.65/18.20 (v90(constB76, 0) | v100(constB77) | (~v90(constB77, 0))),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10314, 212, 10231])).
% 27.65/18.20 tff(10316,plain,
% 27.65/18.20 (v90(constB76, 0) | (~v90(constB77, 0))),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10315, 10243])).
% 27.65/18.20 tff(10317,plain,
% 27.65/18.20 (~v90(constB77, 0)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10316, 10308])).
% 27.65/18.20 tff(10318,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB77, 0) | (~v90(constB77, 1)) | v90(constB77, 2) | v121(constB77))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB77, 0) | (~v90(constB77, 1)) | v90(constB77, 2) | v121(constB77))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10319,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB77, 0) | (~v90(constB77, 1)) | v90(constB77, 2) | v121(constB77))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10320,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB77, 0) | (~v90(constB77, 1)) | v90(constB77, 2) | v121(constB77)),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10319, 10318])).
% 27.65/18.20 tff(10321,plain,
% 27.65/18.20 (v121(constB77)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10320, 993, 10317, 10283, 10252])).
% 27.65/18.20 tff(10322,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB77)) | v117(constB77))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB77)) | v117(constB77))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10323,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB77)) | v117(constB77))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10324,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB77)) | v117(constB77)),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10323, 10322])).
% 27.65/18.20 tff(10325,plain,
% 27.65/18.20 (v117(constB77)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10324, 1004, 10321])).
% 27.65/18.20 tff(10326,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB77) | (~v117(constB77)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB77) | (~v117(constB77)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10327,plain,
% 27.65/18.20 (((~v117(constB77)) | v116(constB77)) <=> (v116(constB77) | (~v117(constB77)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10328,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB77)) | v116(constB77))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB77) | (~v117(constB77))))),
% 27.65/18.20 inference(monotonicity,[status(thm)],[10327])).
% 27.65/18.20 tff(10329,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB77)) | v116(constB77))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB77) | (~v117(constB77)))),
% 27.65/18.20 inference(transitivity,[status(thm)],[10328, 10326])).
% 27.65/18.20 tff(10330,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB77)) | v116(constB77))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10331,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB77) | (~v117(constB77))),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10330, 10329])).
% 27.65/18.20 tff(10332,plain,
% 27.65/18.20 (v116(constB77)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10331, 272, 10325])).
% 27.65/18.20 tff(10333,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB77) | (~v116(constB77)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB77) | (~v116(constB77)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10334,plain,
% 27.65/18.20 (((~v116(constB77)) | v115(constB77)) <=> (v115(constB77) | (~v116(constB77)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10335,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB77)) | v115(constB77))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB77) | (~v116(constB77))))),
% 27.65/18.20 inference(monotonicity,[status(thm)],[10334])).
% 27.65/18.20 tff(10336,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB77)) | v115(constB77))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB77) | (~v116(constB77)))),
% 27.65/18.20 inference(transitivity,[status(thm)],[10335, 10333])).
% 27.65/18.20 tff(10337,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB77)) | v115(constB77))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10338,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB77) | (~v116(constB77))),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10337, 10336])).
% 27.65/18.20 tff(10339,plain,
% 27.65/18.20 (v115(constB77)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10338, 286, 10332])).
% 27.65/18.20 tff(10340,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB77) | (~v115(constB77)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB77) | (~v115(constB77)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10341,plain,
% 27.65/18.20 (((~v115(constB77)) | v114(constB77)) <=> (v114(constB77) | (~v115(constB77)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10342,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB77)) | v114(constB77))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB77) | (~v115(constB77))))),
% 27.65/18.20 inference(monotonicity,[status(thm)],[10341])).
% 27.65/18.20 tff(10343,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB77)) | v114(constB77))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB77) | (~v115(constB77)))),
% 27.65/18.20 inference(transitivity,[status(thm)],[10342, 10340])).
% 27.65/18.20 tff(10344,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB77)) | v114(constB77))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10345,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB77) | (~v115(constB77))),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10344, 10343])).
% 27.65/18.20 tff(10346,plain,
% 27.65/18.20 (v114(constB77)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10345, 300, 10339])).
% 27.65/18.20 tff(10347,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB77) | (~v114(constB77)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB77) | (~v114(constB77)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10348,plain,
% 27.65/18.20 (((~v114(constB77)) | v113(constB77)) <=> (v113(constB77) | (~v114(constB77)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10349,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB77)) | v113(constB77))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB77) | (~v114(constB77))))),
% 27.65/18.20 inference(monotonicity,[status(thm)],[10348])).
% 27.65/18.20 tff(10350,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB77)) | v113(constB77))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB77) | (~v114(constB77)))),
% 27.65/18.20 inference(transitivity,[status(thm)],[10349, 10347])).
% 27.65/18.20 tff(10351,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB77)) | v113(constB77))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10352,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB77) | (~v114(constB77))),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10351, 10350])).
% 27.65/18.20 tff(10353,plain,
% 27.65/18.20 (v113(constB77)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10352, 314, 10346])).
% 27.65/18.20 tff(10354,assumption,(v26(constB77)), introduced(assumption)).
% 27.65/18.20 tff(10355,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB77))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10356,plain,
% 27.65/18.20 ($false),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10355, 95, 10354])).
% 27.65/18.20 tff(10357,plain,(~v26(constB77)), inference(lemma,lemma(discharge,[]))).
% 27.65/18.20 tff(10358,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | (~v113(constB77)) | v112(constB77))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10359,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10360,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | (~v113(constB77)) | v112(constB77)),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10359, 10358])).
% 27.65/18.20 tff(10361,plain,
% 27.65/18.20 ((~v113(constB77)) | v112(constB77)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10360, 328, 10357])).
% 27.65/18.20 tff(10362,plain,
% 27.65/18.20 (v112(constB77)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10361, 10353])).
% 27.65/18.20 tff(10363,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB77) | (~v112(constB77)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v112(constB77)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10364,plain,
% 27.65/18.20 (((~v112(constB77)) | v108(constB77)) <=> (v108(constB77) | (~v112(constB77)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10365,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB77)) | v108(constB77))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB77) | (~v112(constB77))))),
% 27.65/18.20 inference(monotonicity,[status(thm)],[10364])).
% 27.65/18.20 tff(10366,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB77)) | v108(constB77))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v112(constB77)))),
% 27.65/18.20 inference(transitivity,[status(thm)],[10365, 10363])).
% 27.65/18.20 tff(10367,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB77)) | v108(constB77))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10368,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v112(constB77))),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10367, 10366])).
% 27.65/18.20 tff(10369,plain,
% 27.65/18.20 (v108(constB77)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10368, 340, 10362])).
% 27.65/18.20 tff(10370,plain,
% 27.65/18.20 (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10371,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_77_1')).
% 27.65/18.20 tff(10372,plain,
% 27.65/18.20 (nextState(constB77, constB78)),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10371, 10370])).
% 27.65/18.20 tff(10373,plain,
% 27.65/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10374,plain,
% 27.65/18.20 (((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78)) <=> ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10375,plain,
% 27.65/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77))))),
% 27.65/18.20 inference(monotonicity,[status(thm)],[10374])).
% 27.65/18.20 tff(10376,plain,
% 27.65/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 27.65/18.20 inference(transitivity,[status(thm)],[10375, 10373])).
% 27.65/18.20 tff(10377,plain,
% 27.65/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10378,plain,
% 27.65/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77))),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10377, 10376])).
% 27.65/18.20 tff(10379,plain,
% 27.65/18.20 (v110(constB78) | (~v108(constB77))),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10378, 360, 10372])).
% 27.65/18.20 tff(10380,plain,
% 27.65/18.20 (v110(constB78)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10379, 10369])).
% 27.65/18.20 tff(10381,plain,
% 27.65/18.20 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10382,plain,
% 27.65/18.20 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10383,plain,
% 27.65/18.20 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78))),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10382, 10381])).
% 27.65/18.20 tff(10384,plain,
% 27.65/18.20 (~v104(constB78)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10383, 378, 10372, 10228])).
% 27.65/18.20 tff(10385,plain,
% 27.65/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10386,plain,
% 27.65/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10387,plain,
% 27.65/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v102(constB78) | v104(constB78)),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10386, 10385])).
% 27.65/18.20 tff(10388,plain,
% 27.65/18.20 (v102(constB78) | v104(constB78)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10387, 392, 10372])).
% 27.65/18.20 tff(10389,plain,
% 27.65/18.20 (v102(constB78)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10388, 10384])).
% 27.65/18.20 tff(10390,plain,
% 27.65/18.20 (v1(constB78) <=> v1(constB78)),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10391,axiom,(v1(constB78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_78_1')).
% 27.65/18.20 tff(10392,plain,
% 27.65/18.20 (v1(constB78)),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10391, 10390])).
% 27.65/18.20 tff(10393,plain,
% 27.65/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10394,plain,
% 27.65/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10395,plain,
% 27.65/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78))),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10394, 10393])).
% 27.65/18.20 tff(10396,plain,
% 27.65/18.20 (v101(constB78) | (~v102(constB78))),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10395, 410, 10372, 10392])).
% 27.65/18.20 tff(10397,plain,
% 27.65/18.20 (v101(constB78)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10396, 10389])).
% 27.65/18.20 tff(10398,plain,
% 27.65/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10399,plain,
% 27.65/18.20 (((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78)) <=> ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10400,plain,
% 27.65/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78))))),
% 27.65/18.20 inference(monotonicity,[status(thm)],[10399])).
% 27.65/18.20 tff(10401,plain,
% 27.65/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 27.65/18.20 inference(transitivity,[status(thm)],[10400, 10398])).
% 27.65/18.20 tff(10402,plain,
% 27.65/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10403,plain,
% 27.65/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78))),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10402, 10401])).
% 27.65/18.20 tff(10404,plain,
% 27.65/18.20 (v100(constB78) | (~v101(constB78)) | (~v110(constB78))),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10403, 425, 10372])).
% 27.65/18.20 tff(10405,plain,
% 27.65/18.20 (v100(constB78) | (~v110(constB78))),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10404, 10397])).
% 27.65/18.20 tff(10406,plain,
% 27.65/18.20 (v100(constB78)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10405, 10380])).
% 27.65/18.20 tff(10407,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB77)) | (~v130(constB77, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB77)) | (~v130(constB77, 2)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10408,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB77)) | (~v130(constB77, 2)))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10409,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB77)) | (~v130(constB77, 2))),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10408, 10407])).
% 27.65/18.20 tff(10410,plain,
% 27.65/18.20 (~v130(constB77, 2)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10409, 1155, 10321])).
% 27.65/18.20 tff(10411,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB77, 2)) | v26(constB77) | v130(constB77, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB77, 2)) | v26(constB77) | v130(constB77, 2))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10412,plain,
% 27.65/18.20 ((v26(constB77) | v130(constB77, 2) | (~v127(constB77, 2))) <=> ((~v127(constB77, 2)) | v26(constB77) | v130(constB77, 2))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10413,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB77) | v130(constB77, 2) | (~v127(constB77, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB77, 2)) | v26(constB77) | v130(constB77, 2)))),
% 27.65/18.20 inference(monotonicity,[status(thm)],[10412])).
% 27.65/18.20 tff(10414,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB77) | v130(constB77, 2) | (~v127(constB77, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB77, 2)) | v26(constB77) | v130(constB77, 2))),
% 27.65/18.20 inference(transitivity,[status(thm)],[10413, 10411])).
% 27.65/18.20 tff(10415,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB77) | v130(constB77, 2) | (~v127(constB77, 2)))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10416,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB77, 2)) | v26(constB77) | v130(constB77, 2)),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10415, 10414])).
% 27.65/18.20 tff(10417,plain,
% 27.65/18.20 ((~v127(constB77, 2)) | v130(constB77, 2)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10416, 455, 10357])).
% 27.65/18.20 tff(10418,plain,
% 27.65/18.20 (~v127(constB77, 2)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10417, 10410])).
% 27.65/18.20 tff(10419,plain,
% 27.65/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB77, constB78)) | v127(constB77, 2) | (~v129(constB78, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB77, constB78)) | v127(constB77, 2) | (~v129(constB78, 2)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10420,plain,
% 27.65/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB77, constB78)) | v127(constB77, 2) | (~v129(constB78, 2)))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10421,plain,
% 27.65/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB77, constB78)) | v127(constB77, 2) | (~v129(constB78, 2))),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10420, 10419])).
% 27.65/18.20 tff(10422,plain,
% 27.65/18.20 (v127(constB77, 2) | (~v129(constB78, 2))),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10421, 473, 10372])).
% 27.65/18.20 tff(10423,plain,
% 27.65/18.20 (~v129(constB78, 2)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10422, 10418])).
% 27.65/18.20 tff(10424,plain,
% 27.65/18.20 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB78, 2)) | v129(constB78, 2) | (~v100(constB78)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB78, 2)) | v129(constB78, 2) | (~v100(constB78)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10425,plain,
% 27.65/18.20 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB78, 2)) | v129(constB78, 2) | (~v100(constB78)))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10426,plain,
% 27.65/18.20 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB78, 2)) | v129(constB78, 2) | (~v100(constB78))),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10425, 10424])).
% 27.65/18.20 tff(10427,plain,
% 27.65/18.20 ((~v90(constB78, 2)) | (~v100(constB78))),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10426, 488, 10423])).
% 27.65/18.20 tff(10428,plain,
% 27.65/18.20 (~v90(constB78, 2)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10427, 10406])).
% 27.65/18.20 tff(10429,plain,
% 27.65/18.20 ((~v1(constB79)) <=> (~v1(constB79))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10430,axiom,(~v1(constB79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_79_1_1')).
% 27.65/18.20 tff(10431,plain,
% 27.65/18.20 (~v1(constB79)),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10430, 10429])).
% 27.65/18.20 tff(10432,plain,
% 27.65/18.20 (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10433,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_78_1')).
% 27.65/18.20 tff(10434,plain,
% 27.65/18.20 (nextState(constB78, constB79)),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10433, 10432])).
% 27.65/18.20 tff(10435,plain,
% 27.65/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10436,plain,
% 27.65/18.20 (((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79)) <=> (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10437,plain,
% 27.65/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79))))),
% 27.65/18.20 inference(monotonicity,[status(thm)],[10436])).
% 27.65/18.20 tff(10438,plain,
% 27.65/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 27.65/18.20 inference(transitivity,[status(thm)],[10437, 10435])).
% 27.65/18.20 tff(10439,plain,
% 27.65/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10440,plain,
% 27.65/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79))),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10439, 10438])).
% 27.65/18.20 tff(10441,plain,
% 27.65/18.20 (~v101(constB79)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10440, 138, 10434, 10431])).
% 27.65/18.20 tff(10442,plain,
% 27.65/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10443,plain,
% 27.65/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10444,plain,
% 27.65/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79))),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10443, 10442])).
% 27.65/18.20 tff(10445,plain,
% 27.65/18.20 (v101(constB79) | (~v100(constB79))),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10444, 155, 10434])).
% 27.65/18.20 tff(10446,plain,
% 27.65/18.20 (~v100(constB79)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10445, 10441])).
% 27.65/18.20 tff(10447,plain,
% 27.65/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB78, 2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB78, 2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, 2)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10448,plain,
% 27.65/18.20 (((~nextState(constB78, constB79)) | v90(constB78, 2) | v100(constB79) | (~v90(constB79, 2))) <=> (v90(constB78, 2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, 2)))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10449,plain,
% 27.65/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB78, constB79)) | v90(constB78, 2) | v100(constB79) | (~v90(constB79, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB78, 2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, 2))))),
% 27.65/18.20 inference(monotonicity,[status(thm)],[10448])).
% 27.65/18.20 tff(10450,plain,
% 27.65/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB78, constB79)) | v90(constB78, 2) | v100(constB79) | (~v90(constB79, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB78, 2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, 2)))),
% 27.65/18.20 inference(transitivity,[status(thm)],[10449, 10447])).
% 27.65/18.20 tff(10451,plain,
% 27.65/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB78, constB79)) | v90(constB78, 2) | v100(constB79) | (~v90(constB79, 2)))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10452,plain,
% 27.65/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB78, 2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, 2))),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10451, 10450])).
% 27.65/18.20 tff(10453,plain,
% 27.65/18.20 (v90(constB78, 2) | v100(constB79) | (~v90(constB79, 2))),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10452, 170, 10434])).
% 27.65/18.20 tff(10454,plain,
% 27.65/18.20 (v90(constB78, 2) | (~v90(constB79, 2))),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10453, 10446])).
% 27.65/18.20 tff(10455,plain,
% 27.65/18.20 (~v90(constB79, 2)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10454, 10428])).
% 27.65/18.20 tff(10456,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB77)) | v130(constB77, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB77)) | v130(constB77, 1))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10457,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB77)) | v130(constB77, 1))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10458,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB77)) | v130(constB77, 1)),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10457, 10456])).
% 27.65/18.20 tff(10459,plain,
% 27.65/18.20 (v130(constB77, 1)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10458, 1235, 10321])).
% 27.65/18.20 tff(10460,plain,
% 27.65/18.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB77) | (~v130(constB77, 1)) | v127(constB77, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB77) | (~v130(constB77, 1)) | v127(constB77, 1))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10461,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB77) | (~v130(constB77, 1)) | v127(constB77, 1))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10462,plain,
% 27.65/18.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB77) | (~v130(constB77, 1)) | v127(constB77, 1)),
% 27.65/18.20 inference(modus_ponens,[status(thm)],[10461, 10460])).
% 27.65/18.20 tff(10463,plain,
% 27.65/18.20 ((~v130(constB77, 1)) | v127(constB77, 1)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10462, 855, 10357])).
% 27.65/18.20 tff(10464,plain,
% 27.65/18.20 (v127(constB77, 1)),
% 27.65/18.20 inference(unit_resolution,[status(thm)],[10463, 10459])).
% 27.65/18.20 tff(10465,plain,
% 27.65/18.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB77, constB78)) | (~v127(constB77, 1)) | v129(constB78, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB77, constB78)) | (~v127(constB77, 1)) | v129(constB78, 1))),
% 27.65/18.20 inference(rewrite,[status(thm)],[])).
% 27.65/18.20 tff(10466,plain,
% 27.65/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB77, constB78)) | (~v127(constB77, 1)) | v129(constB78, 1))),
% 27.65/18.20 inference(quant_inst,[status(thm)],[])).
% 27.65/18.20 tff(10467,plain,
% 27.65/18.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB77, constB78)) | (~v127(constB77, 1)) | v129(constB78, 1)),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10466, 10465])).
% 27.65/18.21 tff(10468,plain,
% 27.65/18.21 ((~v127(constB77, 1)) | v129(constB78, 1)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10467, 870, 10372])).
% 27.65/18.21 tff(10469,plain,
% 27.65/18.21 (v129(constB78, 1)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10468, 10464])).
% 27.65/18.21 tff(10470,plain,
% 27.65/18.21 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB78, 1) | (~v129(constB78, 1)) | (~v100(constB78)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB78, 1) | (~v129(constB78, 1)) | (~v100(constB78)))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10471,plain,
% 27.65/18.21 ((v90(constB78, 1) | (~v100(constB78)) | (~v129(constB78, 1))) <=> (v90(constB78, 1) | (~v129(constB78, 1)) | (~v100(constB78)))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10472,plain,
% 27.65/18.21 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB78, 1) | (~v100(constB78)) | (~v129(constB78, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB78, 1) | (~v129(constB78, 1)) | (~v100(constB78))))),
% 27.65/18.21 inference(monotonicity,[status(thm)],[10471])).
% 27.65/18.21 tff(10473,plain,
% 27.65/18.21 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB78, 1) | (~v100(constB78)) | (~v129(constB78, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB78, 1) | (~v129(constB78, 1)) | (~v100(constB78)))),
% 27.65/18.21 inference(transitivity,[status(thm)],[10472, 10470])).
% 27.65/18.21 tff(10474,plain,
% 27.65/18.21 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB78, 1) | (~v100(constB78)) | (~v129(constB78, 1)))),
% 27.65/18.21 inference(quant_inst,[status(thm)],[])).
% 27.65/18.21 tff(10475,plain,
% 27.65/18.21 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB78, 1) | (~v129(constB78, 1)) | (~v100(constB78))),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10474, 10473])).
% 27.65/18.21 tff(10476,plain,
% 27.65/18.21 (v90(constB78, 1) | (~v100(constB78))),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10475, 885, 10469])).
% 27.65/18.21 tff(10477,plain,
% 27.65/18.21 (v90(constB78, 1)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10476, 10406])).
% 27.65/18.21 tff(10478,plain,
% 27.65/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB78, 1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB78, 1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 1))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10479,plain,
% 27.65/18.21 (((~nextState(constB78, constB79)) | (~v90(constB78, 1)) | v100(constB79) | v90(constB79, 1)) <=> ((~v90(constB78, 1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 1))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10480,plain,
% 27.65/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, 1)) | v100(constB79) | v90(constB79, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB78, 1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 1)))),
% 27.65/18.21 inference(monotonicity,[status(thm)],[10479])).
% 27.65/18.21 tff(10481,plain,
% 27.65/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, 1)) | v100(constB79) | v90(constB79, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB78, 1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 1))),
% 27.65/18.21 inference(transitivity,[status(thm)],[10480, 10478])).
% 27.65/18.21 tff(10482,plain,
% 27.65/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, 1)) | v100(constB79) | v90(constB79, 1))),
% 27.65/18.21 inference(quant_inst,[status(thm)],[])).
% 27.65/18.21 tff(10483,plain,
% 27.65/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB78, 1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 1)),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10482, 10481])).
% 27.65/18.21 tff(10484,plain,
% 27.65/18.21 ((~v90(constB78, 1)) | v100(constB79) | v90(constB79, 1)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10483, 903, 10434])).
% 27.65/18.21 tff(10485,plain,
% 27.65/18.21 ((~v90(constB78, 1)) | v90(constB79, 1)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10484, 10446])).
% 27.65/18.21 tff(10486,plain,
% 27.65/18.21 (v90(constB79, 1)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10485, 10477])).
% 27.65/18.21 tff(10487,plain,
% 27.65/18.21 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB77)) | v130(constB77, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB77)) | v130(constB77, 0))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10488,plain,
% 27.65/18.21 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB77)) | v130(constB77, 0))),
% 27.65/18.21 inference(quant_inst,[status(thm)],[])).
% 27.65/18.21 tff(10489,plain,
% 27.65/18.21 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB77)) | v130(constB77, 0)),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10488, 10487])).
% 27.65/18.21 tff(10490,plain,
% 27.65/18.21 (v130(constB77, 0)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10489, 1099, 10321])).
% 27.65/18.21 tff(10491,plain,
% 27.65/18.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB77) | (~v130(constB77, 0)) | v127(constB77, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB77) | (~v130(constB77, 0)) | v127(constB77, 0))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10492,plain,
% 27.65/18.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB77) | (~v130(constB77, 0)) | v127(constB77, 0))),
% 27.65/18.21 inference(quant_inst,[status(thm)],[])).
% 27.65/18.21 tff(10493,plain,
% 27.65/18.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB77) | (~v130(constB77, 0)) | v127(constB77, 0)),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10492, 10491])).
% 27.65/18.21 tff(10494,plain,
% 27.65/18.21 ((~v130(constB77, 0)) | v127(constB77, 0)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10493, 612, 10357])).
% 27.65/18.21 tff(10495,plain,
% 27.65/18.21 (v127(constB77, 0)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10494, 10490])).
% 27.65/18.21 tff(10496,plain,
% 27.65/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB77, constB78)) | (~v127(constB77, 0)) | v129(constB78, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB77, constB78)) | (~v127(constB77, 0)) | v129(constB78, 0))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10497,plain,
% 27.65/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB77, constB78)) | (~v127(constB77, 0)) | v129(constB78, 0))),
% 27.65/18.21 inference(quant_inst,[status(thm)],[])).
% 27.65/18.21 tff(10498,plain,
% 27.65/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB77, constB78)) | (~v127(constB77, 0)) | v129(constB78, 0)),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10497, 10496])).
% 27.65/18.21 tff(10499,plain,
% 27.65/18.21 ((~v127(constB77, 0)) | v129(constB78, 0)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10498, 627, 10372])).
% 27.65/18.21 tff(10500,plain,
% 27.65/18.21 (v129(constB78, 0)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10499, 10495])).
% 27.65/18.21 tff(10501,plain,
% 27.65/18.21 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB78, 0) | (~v129(constB78, 0)) | (~v100(constB78)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB78, 0) | (~v129(constB78, 0)) | (~v100(constB78)))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10502,plain,
% 27.65/18.21 ((v90(constB78, 0) | (~v100(constB78)) | (~v129(constB78, 0))) <=> (v90(constB78, 0) | (~v129(constB78, 0)) | (~v100(constB78)))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10503,plain,
% 27.65/18.21 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB78, 0) | (~v100(constB78)) | (~v129(constB78, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB78, 0) | (~v129(constB78, 0)) | (~v100(constB78))))),
% 27.65/18.21 inference(monotonicity,[status(thm)],[10502])).
% 27.65/18.21 tff(10504,plain,
% 27.65/18.21 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB78, 0) | (~v100(constB78)) | (~v129(constB78, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB78, 0) | (~v129(constB78, 0)) | (~v100(constB78)))),
% 27.65/18.21 inference(transitivity,[status(thm)],[10503, 10501])).
% 27.65/18.21 tff(10505,plain,
% 27.65/18.21 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB78, 0) | (~v100(constB78)) | (~v129(constB78, 0)))),
% 27.65/18.21 inference(quant_inst,[status(thm)],[])).
% 27.65/18.21 tff(10506,plain,
% 27.65/18.21 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB78, 0) | (~v129(constB78, 0)) | (~v100(constB78))),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10505, 10504])).
% 27.65/18.21 tff(10507,plain,
% 27.65/18.21 (v90(constB78, 0) | (~v100(constB78))),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10506, 642, 10500])).
% 27.65/18.21 tff(10508,plain,
% 27.65/18.21 (v90(constB78, 0)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10507, 10406])).
% 27.65/18.21 tff(10509,plain,
% 27.65/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB78, 0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB78, 0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 0))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10510,plain,
% 27.65/18.21 (((~nextState(constB78, constB79)) | (~v90(constB78, 0)) | v100(constB79) | v90(constB79, 0)) <=> ((~v90(constB78, 0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 0))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10511,plain,
% 27.65/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB78, constB79)) | (~v90(constB78, 0)) | v100(constB79) | v90(constB79, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB78, 0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 0)))),
% 27.65/18.21 inference(monotonicity,[status(thm)],[10510])).
% 27.65/18.21 tff(10512,plain,
% 27.65/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB78, constB79)) | (~v90(constB78, 0)) | v100(constB79) | v90(constB79, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB78, 0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 0))),
% 27.65/18.21 inference(transitivity,[status(thm)],[10511, 10509])).
% 27.65/18.21 tff(10513,plain,
% 27.65/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB78, constB79)) | (~v90(constB78, 0)) | v100(constB79) | v90(constB79, 0))),
% 27.65/18.21 inference(quant_inst,[status(thm)],[])).
% 27.65/18.21 tff(10514,plain,
% 27.65/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB78, 0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 0)),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10513, 10512])).
% 27.65/18.21 tff(10515,plain,
% 27.65/18.21 ((~v90(constB78, 0)) | v100(constB79) | v90(constB79, 0)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10514, 660, 10434])).
% 27.65/18.21 tff(10516,plain,
% 27.65/18.21 ((~v90(constB78, 0)) | v90(constB79, 0)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10515, 10446])).
% 27.65/18.21 tff(10517,plain,
% 27.65/18.21 (v90(constB79, 0)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10516, 10508])).
% 27.65/18.21 tff(10518,plain,
% 27.65/18.21 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB79, 0)) | (~v90(constB79, 1)) | v90(constB79, 2) | v122(constB79))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB79, 0)) | (~v90(constB79, 1)) | v90(constB79, 2) | v122(constB79))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10519,plain,
% 27.65/18.21 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB79, 0)) | (~v90(constB79, 1)) | v90(constB79, 2) | v122(constB79))),
% 27.65/18.21 inference(quant_inst,[status(thm)],[])).
% 27.65/18.21 tff(10520,plain,
% 27.65/18.21 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB79, 0)) | (~v90(constB79, 1)) | v90(constB79, 2) | v122(constB79)),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10519, 10518])).
% 27.65/18.21 tff(10521,plain,
% 27.65/18.21 (v122(constB79)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10520, 1260, 10517, 10486, 10455])).
% 27.65/18.21 tff(10522,plain,
% 27.65/18.21 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB79) | (~v122(constB79)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB79) | (~v122(constB79)))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10523,plain,
% 27.65/18.21 (((~v122(constB79)) | v116(constB79)) <=> (v116(constB79) | (~v122(constB79)))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10524,plain,
% 27.65/18.21 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB79)) | v116(constB79))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB79) | (~v122(constB79))))),
% 27.65/18.21 inference(monotonicity,[status(thm)],[10523])).
% 27.65/18.21 tff(10525,plain,
% 27.65/18.21 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB79)) | v116(constB79))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB79) | (~v122(constB79)))),
% 27.65/18.21 inference(transitivity,[status(thm)],[10524, 10522])).
% 27.65/18.21 tff(10526,plain,
% 27.65/18.21 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB79)) | v116(constB79))),
% 27.65/18.21 inference(quant_inst,[status(thm)],[])).
% 27.65/18.21 tff(10527,plain,
% 27.65/18.21 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB79) | (~v122(constB79))),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10526, 10525])).
% 27.65/18.21 tff(10528,plain,
% 27.65/18.21 (v116(constB79)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10527, 1272, 10521])).
% 27.65/18.21 tff(10529,plain,
% 27.65/18.21 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB79) | (~v116(constB79)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB79) | (~v116(constB79)))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10530,plain,
% 27.65/18.21 (((~v116(constB79)) | v115(constB79)) <=> (v115(constB79) | (~v116(constB79)))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10531,plain,
% 27.65/18.21 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB79)) | v115(constB79))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB79) | (~v116(constB79))))),
% 27.65/18.21 inference(monotonicity,[status(thm)],[10530])).
% 27.65/18.21 tff(10532,plain,
% 27.65/18.21 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB79)) | v115(constB79))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB79) | (~v116(constB79)))),
% 27.65/18.21 inference(transitivity,[status(thm)],[10531, 10529])).
% 27.65/18.21 tff(10533,plain,
% 27.65/18.21 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB79)) | v115(constB79))),
% 27.65/18.21 inference(quant_inst,[status(thm)],[])).
% 27.65/18.21 tff(10534,plain,
% 27.65/18.21 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB79) | (~v116(constB79))),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10533, 10532])).
% 27.65/18.21 tff(10535,plain,
% 27.65/18.21 (v115(constB79)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10534, 286, 10528])).
% 27.65/18.21 tff(10536,plain,
% 27.65/18.21 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB79) | (~v115(constB79)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB79) | (~v115(constB79)))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10537,plain,
% 27.65/18.21 (((~v115(constB79)) | v114(constB79)) <=> (v114(constB79) | (~v115(constB79)))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10538,plain,
% 27.65/18.21 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB79)) | v114(constB79))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB79) | (~v115(constB79))))),
% 27.65/18.21 inference(monotonicity,[status(thm)],[10537])).
% 27.65/18.21 tff(10539,plain,
% 27.65/18.21 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB79)) | v114(constB79))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB79) | (~v115(constB79)))),
% 27.65/18.21 inference(transitivity,[status(thm)],[10538, 10536])).
% 27.65/18.21 tff(10540,plain,
% 27.65/18.21 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB79)) | v114(constB79))),
% 27.65/18.21 inference(quant_inst,[status(thm)],[])).
% 27.65/18.21 tff(10541,plain,
% 27.65/18.21 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB79) | (~v115(constB79))),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10540, 10539])).
% 27.65/18.21 tff(10542,plain,
% 27.65/18.21 (v114(constB79)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10541, 300, 10535])).
% 27.65/18.21 tff(10543,plain,
% 27.65/18.21 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB79) | (~v114(constB79)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB79) | (~v114(constB79)))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10544,plain,
% 27.65/18.21 (((~v114(constB79)) | v113(constB79)) <=> (v113(constB79) | (~v114(constB79)))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10545,plain,
% 27.65/18.21 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB79)) | v113(constB79))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB79) | (~v114(constB79))))),
% 27.65/18.21 inference(monotonicity,[status(thm)],[10544])).
% 27.65/18.21 tff(10546,plain,
% 27.65/18.21 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB79)) | v113(constB79))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB79) | (~v114(constB79)))),
% 27.65/18.21 inference(transitivity,[status(thm)],[10545, 10543])).
% 27.65/18.21 tff(10547,plain,
% 27.65/18.21 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB79)) | v113(constB79))),
% 27.65/18.21 inference(quant_inst,[status(thm)],[])).
% 27.65/18.21 tff(10548,plain,
% 27.65/18.21 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB79) | (~v114(constB79))),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10547, 10546])).
% 27.65/18.21 tff(10549,plain,
% 27.65/18.21 (v113(constB79)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10548, 314, 10542])).
% 27.65/18.21 tff(10550,plain,
% 27.65/18.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | (~v113(constB79)) | v112(constB79))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10551,plain,
% 27.65/18.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))),
% 27.65/18.21 inference(quant_inst,[status(thm)],[])).
% 27.65/18.21 tff(10552,plain,
% 27.65/18.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | (~v113(constB79)) | v112(constB79)),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10551, 10550])).
% 27.65/18.21 tff(10553,plain,
% 27.65/18.21 (v26(constB79) | v112(constB79)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10552, 328, 10549])).
% 27.65/18.21 tff(10554,plain,
% 27.65/18.21 (v112(constB79)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10553, 106])).
% 27.65/18.21 tff(10555,plain,
% 27.65/18.21 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB79) | (~v112(constB79)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB79) | (~v112(constB79)))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10556,plain,
% 27.65/18.21 (((~v112(constB79)) | v108(constB79)) <=> (v108(constB79) | (~v112(constB79)))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10557,plain,
% 27.65/18.21 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB79)) | v108(constB79))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB79) | (~v112(constB79))))),
% 27.65/18.21 inference(monotonicity,[status(thm)],[10556])).
% 27.65/18.21 tff(10558,plain,
% 27.65/18.21 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB79)) | v108(constB79))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB79) | (~v112(constB79)))),
% 27.65/18.21 inference(transitivity,[status(thm)],[10557, 10555])).
% 27.65/18.21 tff(10559,plain,
% 27.65/18.21 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB79)) | v108(constB79))),
% 27.65/18.21 inference(quant_inst,[status(thm)],[])).
% 27.65/18.21 tff(10560,plain,
% 27.65/18.21 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB79) | (~v112(constB79))),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10559, 10558])).
% 27.65/18.21 tff(10561,plain,
% 27.65/18.21 (v108(constB79)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10560, 340, 10554])).
% 27.65/18.21 tff(10562,plain,
% 27.65/18.21 (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10563,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_79_1')).
% 27.65/18.21 tff(10564,plain,
% 27.65/18.21 (nextState(constB79, constB80)),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10563, 10562])).
% 27.65/18.21 tff(10565,plain,
% 27.65/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10566,plain,
% 27.65/18.21 (((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80)) <=> ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10567,plain,
% 27.65/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79))))),
% 27.65/18.21 inference(monotonicity,[status(thm)],[10566])).
% 27.65/18.21 tff(10568,plain,
% 27.65/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 27.65/18.21 inference(transitivity,[status(thm)],[10567, 10565])).
% 27.65/18.21 tff(10569,plain,
% 27.65/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))),
% 27.65/18.21 inference(quant_inst,[status(thm)],[])).
% 27.65/18.21 tff(10570,plain,
% 27.65/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79))),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10569, 10568])).
% 27.65/18.21 tff(10571,plain,
% 27.65/18.21 (v110(constB80) | (~v108(constB79))),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10570, 360, 10564])).
% 27.65/18.21 tff(10572,plain,
% 27.65/18.21 (v110(constB80)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10571, 10561])).
% 27.65/18.21 tff(10573,plain,
% 27.65/18.21 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10574,plain,
% 27.65/18.21 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))),
% 27.65/18.21 inference(quant_inst,[status(thm)],[])).
% 27.65/18.21 tff(10575,plain,
% 27.65/18.21 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80))),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10574, 10573])).
% 27.65/18.21 tff(10576,plain,
% 27.65/18.21 (~v104(constB80)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10575, 378, 10564, 10431])).
% 27.65/18.21 tff(10577,plain,
% 27.65/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10578,plain,
% 27.65/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))),
% 27.65/18.21 inference(quant_inst,[status(thm)],[])).
% 27.65/18.21 tff(10579,plain,
% 27.65/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v102(constB80) | v104(constB80)),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10578, 10577])).
% 27.65/18.21 tff(10580,plain,
% 27.65/18.21 (v102(constB80) | v104(constB80)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10579, 392, 10564])).
% 27.65/18.21 tff(10581,plain,
% 27.65/18.21 (v102(constB80)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10580, 10576])).
% 27.65/18.21 tff(10582,plain,
% 27.65/18.21 (v1(constB80) <=> v1(constB80)),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10583,axiom,(v1(constB80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_80_1')).
% 27.65/18.21 tff(10584,plain,
% 27.65/18.21 (v1(constB80)),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10583, 10582])).
% 27.65/18.21 tff(10585,plain,
% 27.65/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10586,plain,
% 27.65/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))),
% 27.65/18.21 inference(quant_inst,[status(thm)],[])).
% 27.65/18.21 tff(10587,plain,
% 27.65/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80))),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10586, 10585])).
% 27.65/18.21 tff(10588,plain,
% 27.65/18.21 (v101(constB80) | (~v102(constB80))),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10587, 410, 10564, 10584])).
% 27.65/18.21 tff(10589,plain,
% 27.65/18.21 (v101(constB80)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10588, 10581])).
% 27.65/18.21 tff(10590,plain,
% 27.65/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10591,plain,
% 27.65/18.21 (((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80)) <=> ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10592,plain,
% 27.65/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80))))),
% 27.65/18.21 inference(monotonicity,[status(thm)],[10591])).
% 27.65/18.21 tff(10593,plain,
% 27.65/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 27.65/18.21 inference(transitivity,[status(thm)],[10592, 10590])).
% 27.65/18.21 tff(10594,plain,
% 27.65/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))),
% 27.65/18.21 inference(quant_inst,[status(thm)],[])).
% 27.65/18.21 tff(10595,plain,
% 27.65/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80))),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10594, 10593])).
% 27.65/18.21 tff(10596,plain,
% 27.65/18.21 (v100(constB80) | (~v101(constB80)) | (~v110(constB80))),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10595, 425, 10564])).
% 27.65/18.21 tff(10597,plain,
% 27.65/18.21 (v100(constB80) | (~v110(constB80))),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10596, 10589])).
% 27.65/18.21 tff(10598,plain,
% 27.65/18.21 (v100(constB80)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10597, 10572])).
% 27.65/18.21 tff(10599,plain,
% 27.65/18.21 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB79)) | v130(constB79, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB79)) | v130(constB79, 2))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10600,plain,
% 27.65/18.21 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB79)) | v130(constB79, 2))),
% 27.65/18.21 inference(quant_inst,[status(thm)],[])).
% 27.65/18.21 tff(10601,plain,
% 27.65/18.21 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB79)) | v130(constB79, 2)),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10600, 10599])).
% 27.65/18.21 tff(10602,plain,
% 27.65/18.21 (v130(constB79, 2)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10601, 1484, 10521])).
% 27.65/18.21 tff(10603,plain,
% 27.65/18.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB79) | (~v130(constB79, 2)) | v127(constB79, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB79) | (~v130(constB79, 2)) | v127(constB79, 2))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10604,plain,
% 27.65/18.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB79) | (~v130(constB79, 2)) | v127(constB79, 2))),
% 27.65/18.21 inference(quant_inst,[status(thm)],[])).
% 27.65/18.21 tff(10605,plain,
% 27.65/18.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB79) | (~v130(constB79, 2)) | v127(constB79, 2)),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10604, 10603])).
% 27.65/18.21 tff(10606,plain,
% 27.65/18.21 (v26(constB79) | v127(constB79, 2)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10605, 1498, 10602])).
% 27.65/18.21 tff(10607,plain,
% 27.65/18.21 (v127(constB79, 2)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10606, 106])).
% 27.65/18.21 tff(10608,plain,
% 27.65/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB79, constB80)) | (~v127(constB79, 2)) | v129(constB80, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB79, constB80)) | (~v127(constB79, 2)) | v129(constB80, 2))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10609,plain,
% 27.65/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB79, constB80)) | (~v127(constB79, 2)) | v129(constB80, 2))),
% 27.65/18.21 inference(quant_inst,[status(thm)],[])).
% 27.65/18.21 tff(10610,plain,
% 27.65/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB79, constB80)) | (~v127(constB79, 2)) | v129(constB80, 2)),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10609, 10608])).
% 27.65/18.21 tff(10611,plain,
% 27.65/18.21 ((~v127(constB79, 2)) | v129(constB80, 2)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10610, 1513, 10564])).
% 27.65/18.21 tff(10612,plain,
% 27.65/18.21 (v129(constB80, 2)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10611, 10607])).
% 27.65/18.21 tff(10613,plain,
% 27.65/18.21 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB80, 2) | (~v129(constB80, 2)) | (~v100(constB80)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB80, 2) | (~v129(constB80, 2)) | (~v100(constB80)))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10614,plain,
% 27.65/18.21 ((v90(constB80, 2) | (~v100(constB80)) | (~v129(constB80, 2))) <=> (v90(constB80, 2) | (~v129(constB80, 2)) | (~v100(constB80)))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10615,plain,
% 27.65/18.21 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB80, 2) | (~v100(constB80)) | (~v129(constB80, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB80, 2) | (~v129(constB80, 2)) | (~v100(constB80))))),
% 27.65/18.21 inference(monotonicity,[status(thm)],[10614])).
% 27.65/18.21 tff(10616,plain,
% 27.65/18.21 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB80, 2) | (~v100(constB80)) | (~v129(constB80, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB80, 2) | (~v129(constB80, 2)) | (~v100(constB80)))),
% 27.65/18.21 inference(transitivity,[status(thm)],[10615, 10613])).
% 27.65/18.21 tff(10617,plain,
% 27.65/18.21 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB80, 2) | (~v100(constB80)) | (~v129(constB80, 2)))),
% 27.65/18.21 inference(quant_inst,[status(thm)],[])).
% 27.65/18.21 tff(10618,plain,
% 27.65/18.21 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB80, 2) | (~v129(constB80, 2)) | (~v100(constB80))),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10617, 10616])).
% 27.65/18.21 tff(10619,plain,
% 27.65/18.21 (v90(constB80, 2) | (~v100(constB80))),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10618, 1528, 10612])).
% 27.65/18.21 tff(10620,plain,
% 27.65/18.21 (v90(constB80, 2)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10619, 10598])).
% 27.65/18.21 tff(10621,plain,
% 27.65/18.21 ((~v1(constB81)) <=> (~v1(constB81))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10622,axiom,(~v1(constB81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_81_1_1')).
% 27.65/18.21 tff(10623,plain,
% 27.65/18.21 (~v1(constB81)),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10622, 10621])).
% 27.65/18.21 tff(10624,plain,
% 27.65/18.21 (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10625,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_80_1')).
% 27.65/18.21 tff(10626,plain,
% 27.65/18.21 (nextState(constB80, constB81)),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10625, 10624])).
% 27.65/18.21 tff(10627,plain,
% 27.65/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10628,plain,
% 27.65/18.21 (((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81)) <=> (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10629,plain,
% 27.65/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81))))),
% 27.65/18.21 inference(monotonicity,[status(thm)],[10628])).
% 27.65/18.21 tff(10630,plain,
% 27.65/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 27.65/18.21 inference(transitivity,[status(thm)],[10629, 10627])).
% 27.65/18.21 tff(10631,plain,
% 27.65/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))),
% 27.65/18.21 inference(quant_inst,[status(thm)],[])).
% 27.65/18.21 tff(10632,plain,
% 27.65/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81))),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10631, 10630])).
% 27.65/18.21 tff(10633,plain,
% 27.65/18.21 (~v101(constB81)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10632, 138, 10626, 10623])).
% 27.65/18.21 tff(10634,plain,
% 27.65/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10635,plain,
% 27.65/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))),
% 27.65/18.21 inference(quant_inst,[status(thm)],[])).
% 27.65/18.21 tff(10636,plain,
% 27.65/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81))),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10635, 10634])).
% 27.65/18.21 tff(10637,plain,
% 27.65/18.21 (v101(constB81) | (~v100(constB81))),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10636, 155, 10626])).
% 27.65/18.21 tff(10638,plain,
% 27.65/18.21 (~v100(constB81)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10637, 10633])).
% 27.65/18.21 tff(10639,plain,
% 27.65/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB80, 2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB80, 2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, 2))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10640,plain,
% 27.65/18.21 (((~nextState(constB80, constB81)) | (~v90(constB80, 2)) | v100(constB81) | v90(constB81, 2)) <=> ((~v90(constB80, 2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, 2))),
% 27.65/18.21 inference(rewrite,[status(thm)],[])).
% 27.65/18.21 tff(10641,plain,
% 27.65/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB80, constB81)) | (~v90(constB80, 2)) | v100(constB81) | v90(constB81, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB80, 2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, 2)))),
% 27.65/18.21 inference(monotonicity,[status(thm)],[10640])).
% 27.65/18.21 tff(10642,plain,
% 27.65/18.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB80, constB81)) | (~v90(constB80, 2)) | v100(constB81) | v90(constB81, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB80, 2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, 2))),
% 27.65/18.21 inference(transitivity,[status(thm)],[10641, 10639])).
% 27.65/18.21 tff(10643,plain,
% 27.65/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB80, constB81)) | (~v90(constB80, 2)) | v100(constB81) | v90(constB81, 2))),
% 27.65/18.21 inference(quant_inst,[status(thm)],[])).
% 27.65/18.21 tff(10644,plain,
% 27.65/18.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB80, 2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, 2)),
% 27.65/18.21 inference(modus_ponens,[status(thm)],[10643, 10642])).
% 27.65/18.21 tff(10645,plain,
% 27.65/18.21 ((~v90(constB80, 2)) | v100(constB81) | v90(constB81, 2)),
% 27.65/18.21 inference(unit_resolution,[status(thm)],[10644, 1546, 10626])).
% 27.65/18.21 tff(10646,plain,
% 27.65/18.21 ((~v90(constB80, 2)) | v90(constB81, 2)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10645, 10638])).
% 27.65/18.22 tff(10647,plain,
% 27.65/18.22 (v90(constB81, 2)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10646, 10620])).
% 27.65/18.22 tff(10648,plain,
% 27.65/18.22 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB79)) | (~v130(constB79, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB79)) | (~v130(constB79, 1)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10649,plain,
% 27.65/18.22 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB79)) | (~v130(constB79, 1)))),
% 27.65/18.22 inference(quant_inst,[status(thm)],[])).
% 27.65/18.22 tff(10650,plain,
% 27.65/18.22 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB79)) | (~v130(constB79, 1))),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10649, 10648])).
% 27.65/18.22 tff(10651,plain,
% 27.65/18.22 (~v130(constB79, 1)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10650, 1424, 10521])).
% 27.65/18.22 tff(10652,plain,
% 27.65/18.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB79, 1)) | v26(constB79) | v130(constB79, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB79, 1)) | v26(constB79) | v130(constB79, 1))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10653,plain,
% 27.65/18.22 ((v26(constB79) | v130(constB79, 1) | (~v127(constB79, 1))) <=> ((~v127(constB79, 1)) | v26(constB79) | v130(constB79, 1))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10654,plain,
% 27.65/18.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB79) | v130(constB79, 1) | (~v127(constB79, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB79, 1)) | v26(constB79) | v130(constB79, 1)))),
% 27.65/18.22 inference(monotonicity,[status(thm)],[10653])).
% 27.65/18.22 tff(10655,plain,
% 27.65/18.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB79) | v130(constB79, 1) | (~v127(constB79, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB79, 1)) | v26(constB79) | v130(constB79, 1))),
% 27.65/18.22 inference(transitivity,[status(thm)],[10654, 10652])).
% 27.65/18.22 tff(10656,plain,
% 27.65/18.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB79) | v130(constB79, 1) | (~v127(constB79, 1)))),
% 27.65/18.22 inference(quant_inst,[status(thm)],[])).
% 27.65/18.22 tff(10657,plain,
% 27.65/18.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB79, 1)) | v26(constB79) | v130(constB79, 1)),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10656, 10655])).
% 27.65/18.22 tff(10658,plain,
% 27.65/18.22 ((~v127(constB79, 1)) | v26(constB79)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10657, 541, 10651])).
% 27.65/18.22 tff(10659,plain,
% 27.65/18.22 (~v127(constB79, 1)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10658, 106])).
% 27.65/18.22 tff(10660,plain,
% 27.65/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB79, constB80)) | v127(constB79, 1) | (~v129(constB80, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB79, constB80)) | v127(constB79, 1) | (~v129(constB80, 1)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10661,plain,
% 27.65/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB79, constB80)) | v127(constB79, 1) | (~v129(constB80, 1)))),
% 27.65/18.22 inference(quant_inst,[status(thm)],[])).
% 27.65/18.22 tff(10662,plain,
% 27.65/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB79, constB80)) | v127(constB79, 1) | (~v129(constB80, 1))),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10661, 10660])).
% 27.65/18.22 tff(10663,plain,
% 27.65/18.22 (v127(constB79, 1) | (~v129(constB80, 1))),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10662, 559, 10564])).
% 27.65/18.22 tff(10664,plain,
% 27.65/18.22 (~v129(constB80, 1)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10663, 10659])).
% 27.65/18.22 tff(10665,plain,
% 27.65/18.22 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB80, 1)) | v129(constB80, 1) | (~v100(constB80)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB80, 1)) | v129(constB80, 1) | (~v100(constB80)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10666,plain,
% 27.65/18.22 (((~v90(constB80, 1)) | (~v100(constB80)) | v129(constB80, 1)) <=> ((~v90(constB80, 1)) | v129(constB80, 1) | (~v100(constB80)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10667,plain,
% 27.65/18.22 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB80, 1)) | (~v100(constB80)) | v129(constB80, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB80, 1)) | v129(constB80, 1) | (~v100(constB80))))),
% 27.65/18.22 inference(monotonicity,[status(thm)],[10666])).
% 27.65/18.22 tff(10668,plain,
% 27.65/18.22 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB80, 1)) | (~v100(constB80)) | v129(constB80, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB80, 1)) | v129(constB80, 1) | (~v100(constB80)))),
% 27.65/18.22 inference(transitivity,[status(thm)],[10667, 10665])).
% 27.65/18.22 tff(10669,plain,
% 27.65/18.22 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB80, 1)) | (~v100(constB80)) | v129(constB80, 1))),
% 27.65/18.22 inference(quant_inst,[status(thm)],[])).
% 27.65/18.22 tff(10670,plain,
% 27.65/18.22 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB80, 1)) | v129(constB80, 1) | (~v100(constB80))),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10669, 10668])).
% 27.65/18.22 tff(10671,plain,
% 27.65/18.22 ((~v90(constB80, 1)) | (~v100(constB80))),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10670, 574, 10664])).
% 27.65/18.22 tff(10672,plain,
% 27.65/18.22 (~v90(constB80, 1)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10671, 10598])).
% 27.65/18.22 tff(10673,plain,
% 27.65/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB80, 1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB80, 1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 1)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10674,plain,
% 27.65/18.22 (((~nextState(constB80, constB81)) | v90(constB80, 1) | v100(constB81) | (~v90(constB81, 1))) <=> (v90(constB80, 1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 1)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10675,plain,
% 27.65/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB80, constB81)) | v90(constB80, 1) | v100(constB81) | (~v90(constB81, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB80, 1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 1))))),
% 27.65/18.22 inference(monotonicity,[status(thm)],[10674])).
% 27.65/18.22 tff(10676,plain,
% 27.65/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB80, constB81)) | v90(constB80, 1) | v100(constB81) | (~v90(constB81, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB80, 1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 1)))),
% 27.65/18.22 inference(transitivity,[status(thm)],[10675, 10673])).
% 27.65/18.22 tff(10677,plain,
% 27.65/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB80, constB81)) | v90(constB80, 1) | v100(constB81) | (~v90(constB81, 1)))),
% 27.65/18.22 inference(quant_inst,[status(thm)],[])).
% 27.65/18.22 tff(10678,plain,
% 27.65/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB80, 1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 1))),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10677, 10676])).
% 27.65/18.22 tff(10679,plain,
% 27.65/18.22 (v90(constB80, 1) | v100(constB81) | (~v90(constB81, 1))),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10678, 191, 10626])).
% 27.65/18.22 tff(10680,plain,
% 27.65/18.22 (v90(constB80, 1) | (~v90(constB81, 1))),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10679, 10638])).
% 27.65/18.22 tff(10681,plain,
% 27.65/18.22 (~v90(constB81, 1)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10680, 10672])).
% 27.65/18.22 tff(10682,plain,
% 27.65/18.22 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB79)) | (~v130(constB79, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB79)) | (~v130(constB79, 0)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10683,plain,
% 27.65/18.22 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB79)) | (~v130(constB79, 0)))),
% 27.65/18.22 inference(quant_inst,[status(thm)],[])).
% 27.65/18.22 tff(10684,plain,
% 27.65/18.22 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB79)) | (~v130(constB79, 0))),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10683, 10682])).
% 27.65/18.22 tff(10685,plain,
% 27.65/18.22 (~v130(constB79, 0)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10684, 1351, 10521])).
% 27.65/18.22 tff(10686,plain,
% 27.65/18.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB79, 0)) | v26(constB79) | v130(constB79, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB79, 0)) | v26(constB79) | v130(constB79, 0))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10687,plain,
% 27.65/18.22 ((v26(constB79) | v130(constB79, 0) | (~v127(constB79, 0))) <=> ((~v127(constB79, 0)) | v26(constB79) | v130(constB79, 0))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10688,plain,
% 27.65/18.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB79) | v130(constB79, 0) | (~v127(constB79, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB79, 0)) | v26(constB79) | v130(constB79, 0)))),
% 27.65/18.22 inference(monotonicity,[status(thm)],[10687])).
% 27.65/18.22 tff(10689,plain,
% 27.65/18.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB79) | v130(constB79, 0) | (~v127(constB79, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB79, 0)) | v26(constB79) | v130(constB79, 0))),
% 27.65/18.22 inference(transitivity,[status(thm)],[10688, 10686])).
% 27.65/18.22 tff(10690,plain,
% 27.65/18.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB79) | v130(constB79, 0) | (~v127(constB79, 0)))),
% 27.65/18.22 inference(quant_inst,[status(thm)],[])).
% 27.65/18.22 tff(10691,plain,
% 27.65/18.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB79, 0)) | v26(constB79) | v130(constB79, 0)),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10690, 10689])).
% 27.65/18.22 tff(10692,plain,
% 27.65/18.22 ((~v127(constB79, 0)) | v26(constB79)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10691, 933, 10685])).
% 27.65/18.22 tff(10693,plain,
% 27.65/18.22 (~v127(constB79, 0)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10692, 106])).
% 27.65/18.22 tff(10694,plain,
% 27.65/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB79, constB80)) | v127(constB79, 0) | (~v129(constB80, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB79, constB80)) | v127(constB79, 0) | (~v129(constB80, 0)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10695,plain,
% 27.65/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB79, constB80)) | v127(constB79, 0) | (~v129(constB80, 0)))),
% 27.65/18.22 inference(quant_inst,[status(thm)],[])).
% 27.65/18.22 tff(10696,plain,
% 27.65/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB79, constB80)) | v127(constB79, 0) | (~v129(constB80, 0))),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10695, 10694])).
% 27.65/18.22 tff(10697,plain,
% 27.65/18.22 (v127(constB79, 0) | (~v129(constB80, 0))),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10696, 951, 10564])).
% 27.65/18.22 tff(10698,plain,
% 27.65/18.22 (~v129(constB80, 0)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10697, 10693])).
% 27.65/18.22 tff(10699,plain,
% 27.65/18.22 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB80, 0)) | v129(constB80, 0) | (~v100(constB80)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB80, 0)) | v129(constB80, 0) | (~v100(constB80)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10700,plain,
% 27.65/18.22 (((~v90(constB80, 0)) | (~v100(constB80)) | v129(constB80, 0)) <=> ((~v90(constB80, 0)) | v129(constB80, 0) | (~v100(constB80)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10701,plain,
% 27.65/18.22 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB80, 0)) | (~v100(constB80)) | v129(constB80, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB80, 0)) | v129(constB80, 0) | (~v100(constB80))))),
% 27.65/18.22 inference(monotonicity,[status(thm)],[10700])).
% 27.65/18.22 tff(10702,plain,
% 27.65/18.22 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB80, 0)) | (~v100(constB80)) | v129(constB80, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB80, 0)) | v129(constB80, 0) | (~v100(constB80)))),
% 27.65/18.22 inference(transitivity,[status(thm)],[10701, 10699])).
% 27.65/18.22 tff(10703,plain,
% 27.65/18.22 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB80, 0)) | (~v100(constB80)) | v129(constB80, 0))),
% 27.65/18.22 inference(quant_inst,[status(thm)],[])).
% 27.65/18.22 tff(10704,plain,
% 27.65/18.22 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB80, 0)) | v129(constB80, 0) | (~v100(constB80))),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10703, 10702])).
% 27.65/18.22 tff(10705,plain,
% 27.65/18.22 ((~v90(constB80, 0)) | (~v100(constB80))),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10704, 966, 10698])).
% 27.65/18.22 tff(10706,plain,
% 27.65/18.22 (~v90(constB80, 0)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10705, 10598])).
% 27.65/18.22 tff(10707,plain,
% 27.65/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB80, 0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB80, 0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 0)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10708,plain,
% 27.65/18.22 (((~nextState(constB80, constB81)) | v90(constB80, 0) | v100(constB81) | (~v90(constB81, 0))) <=> (v90(constB80, 0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 0)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10709,plain,
% 27.65/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB80, constB81)) | v90(constB80, 0) | v100(constB81) | (~v90(constB81, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB80, 0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 0))))),
% 27.65/18.22 inference(monotonicity,[status(thm)],[10708])).
% 27.65/18.22 tff(10710,plain,
% 27.65/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB80, constB81)) | v90(constB80, 0) | v100(constB81) | (~v90(constB81, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB80, 0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 0)))),
% 27.65/18.22 inference(transitivity,[status(thm)],[10709, 10707])).
% 27.65/18.22 tff(10711,plain,
% 27.65/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB80, constB81)) | v90(constB80, 0) | v100(constB81) | (~v90(constB81, 0)))),
% 27.65/18.22 inference(quant_inst,[status(thm)],[])).
% 27.65/18.22 tff(10712,plain,
% 27.65/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB80, 0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 0))),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10711, 10710])).
% 27.65/18.22 tff(10713,plain,
% 27.65/18.22 (v90(constB80, 0) | v100(constB81) | (~v90(constB81, 0))),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10712, 212, 10626])).
% 27.65/18.22 tff(10714,plain,
% 27.65/18.22 (v90(constB80, 0) | (~v90(constB81, 0))),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10713, 10638])).
% 27.65/18.22 tff(10715,plain,
% 27.65/18.22 (~v90(constB81, 0)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10714, 10706])).
% 27.65/18.22 tff(10716,plain,
% 27.65/18.22 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB81, 0) | v90(constB81, 1) | (~v90(constB81, 2)) | v123(constB81))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB81, 0) | v90(constB81, 1) | (~v90(constB81, 2)) | v123(constB81))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10717,plain,
% 27.65/18.22 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB81, 0) | v90(constB81, 1) | (~v90(constB81, 2)) | v123(constB81))),
% 27.65/18.22 inference(quant_inst,[status(thm)],[])).
% 27.65/18.22 tff(10718,plain,
% 27.65/18.22 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB81, 0) | v90(constB81, 1) | (~v90(constB81, 2)) | v123(constB81)),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10717, 10716])).
% 27.65/18.22 tff(10719,plain,
% 27.65/18.22 (v123(constB81)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10718, 1565, 10715, 10681, 10647])).
% 27.65/18.22 tff(10720,plain,
% 27.65/18.22 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB81)) | v115(constB81))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB81)) | v115(constB81))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10721,plain,
% 27.65/18.22 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB81)) | v115(constB81))),
% 27.65/18.22 inference(quant_inst,[status(thm)],[])).
% 27.65/18.22 tff(10722,plain,
% 27.65/18.22 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB81)) | v115(constB81)),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10721, 10720])).
% 27.65/18.22 tff(10723,plain,
% 27.65/18.22 (v115(constB81)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10722, 1579, 10719])).
% 27.65/18.22 tff(10724,plain,
% 27.65/18.22 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB81) | (~v115(constB81)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB81) | (~v115(constB81)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10725,plain,
% 27.65/18.22 (((~v115(constB81)) | v114(constB81)) <=> (v114(constB81) | (~v115(constB81)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10726,plain,
% 27.65/18.22 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB81)) | v114(constB81))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB81) | (~v115(constB81))))),
% 27.65/18.22 inference(monotonicity,[status(thm)],[10725])).
% 27.65/18.22 tff(10727,plain,
% 27.65/18.22 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB81)) | v114(constB81))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB81) | (~v115(constB81)))),
% 27.65/18.22 inference(transitivity,[status(thm)],[10726, 10724])).
% 27.65/18.22 tff(10728,plain,
% 27.65/18.22 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB81)) | v114(constB81))),
% 27.65/18.22 inference(quant_inst,[status(thm)],[])).
% 27.65/18.22 tff(10729,plain,
% 27.65/18.22 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB81) | (~v115(constB81))),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10728, 10727])).
% 27.65/18.22 tff(10730,plain,
% 27.65/18.22 (v114(constB81)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10729, 300, 10723])).
% 27.65/18.22 tff(10731,plain,
% 27.65/18.22 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB81) | (~v114(constB81)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB81) | (~v114(constB81)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10732,plain,
% 27.65/18.22 (((~v114(constB81)) | v113(constB81)) <=> (v113(constB81) | (~v114(constB81)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10733,plain,
% 27.65/18.22 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB81)) | v113(constB81))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB81) | (~v114(constB81))))),
% 27.65/18.22 inference(monotonicity,[status(thm)],[10732])).
% 27.65/18.22 tff(10734,plain,
% 27.65/18.22 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB81)) | v113(constB81))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB81) | (~v114(constB81)))),
% 27.65/18.22 inference(transitivity,[status(thm)],[10733, 10731])).
% 27.65/18.22 tff(10735,plain,
% 27.65/18.22 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB81)) | v113(constB81))),
% 27.65/18.22 inference(quant_inst,[status(thm)],[])).
% 27.65/18.22 tff(10736,plain,
% 27.65/18.22 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB81) | (~v114(constB81))),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10735, 10734])).
% 27.65/18.22 tff(10737,plain,
% 27.65/18.22 (v113(constB81)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10736, 314, 10730])).
% 27.65/18.22 tff(10738,plain,
% 27.65/18.22 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | (~v113(constB81)) | v112(constB81))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10739,plain,
% 27.65/18.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))),
% 27.65/18.22 inference(quant_inst,[status(thm)],[])).
% 27.65/18.22 tff(10740,plain,
% 27.65/18.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | (~v113(constB81)) | v112(constB81)),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10739, 10738])).
% 27.65/18.22 tff(10741,plain,
% 27.65/18.22 (v26(constB81) | v112(constB81)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10740, 328, 10737])).
% 27.65/18.22 tff(10742,plain,
% 27.65/18.22 (v112(constB81)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10741, 102])).
% 27.65/18.22 tff(10743,plain,
% 27.65/18.22 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB81) | (~v112(constB81)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB81) | (~v112(constB81)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10744,plain,
% 27.65/18.22 (((~v112(constB81)) | v108(constB81)) <=> (v108(constB81) | (~v112(constB81)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10745,plain,
% 27.65/18.22 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB81)) | v108(constB81))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB81) | (~v112(constB81))))),
% 27.65/18.22 inference(monotonicity,[status(thm)],[10744])).
% 27.65/18.22 tff(10746,plain,
% 27.65/18.22 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB81)) | v108(constB81))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB81) | (~v112(constB81)))),
% 27.65/18.22 inference(transitivity,[status(thm)],[10745, 10743])).
% 27.65/18.22 tff(10747,plain,
% 27.65/18.22 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB81)) | v108(constB81))),
% 27.65/18.22 inference(quant_inst,[status(thm)],[])).
% 27.65/18.22 tff(10748,plain,
% 27.65/18.22 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB81) | (~v112(constB81))),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10747, 10746])).
% 27.65/18.22 tff(10749,plain,
% 27.65/18.22 (v108(constB81)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10748, 340, 10742])).
% 27.65/18.22 tff(10750,plain,
% 27.65/18.22 (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10751,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_81_1')).
% 27.65/18.22 tff(10752,plain,
% 27.65/18.22 (nextState(constB81, constB82)),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10751, 10750])).
% 27.65/18.22 tff(10753,plain,
% 27.65/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10754,plain,
% 27.65/18.22 (((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82)) <=> ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10755,plain,
% 27.65/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81))))),
% 27.65/18.22 inference(monotonicity,[status(thm)],[10754])).
% 27.65/18.22 tff(10756,plain,
% 27.65/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 27.65/18.22 inference(transitivity,[status(thm)],[10755, 10753])).
% 27.65/18.22 tff(10757,plain,
% 27.65/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))),
% 27.65/18.22 inference(quant_inst,[status(thm)],[])).
% 27.65/18.22 tff(10758,plain,
% 27.65/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81))),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10757, 10756])).
% 27.65/18.22 tff(10759,plain,
% 27.65/18.22 (v110(constB82) | (~v108(constB81))),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10758, 360, 10752])).
% 27.65/18.22 tff(10760,plain,
% 27.65/18.22 (v110(constB82)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10759, 10749])).
% 27.65/18.22 tff(10761,plain,
% 27.65/18.22 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10762,plain,
% 27.65/18.22 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))),
% 27.65/18.22 inference(quant_inst,[status(thm)],[])).
% 27.65/18.22 tff(10763,plain,
% 27.65/18.22 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82))),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10762, 10761])).
% 27.65/18.22 tff(10764,plain,
% 27.65/18.22 (~v104(constB82)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10763, 378, 10752, 10623])).
% 27.65/18.22 tff(10765,plain,
% 27.65/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10766,plain,
% 27.65/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))),
% 27.65/18.22 inference(quant_inst,[status(thm)],[])).
% 27.65/18.22 tff(10767,plain,
% 27.65/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v102(constB82) | v104(constB82)),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10766, 10765])).
% 27.65/18.22 tff(10768,plain,
% 27.65/18.22 (v102(constB82) | v104(constB82)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10767, 392, 10752])).
% 27.65/18.22 tff(10769,plain,
% 27.65/18.22 (v102(constB82)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10768, 10764])).
% 27.65/18.22 tff(10770,plain,
% 27.65/18.22 (v1(constB82) <=> v1(constB82)),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10771,axiom,(v1(constB82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_82_1')).
% 27.65/18.22 tff(10772,plain,
% 27.65/18.22 (v1(constB82)),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10771, 10770])).
% 27.65/18.22 tff(10773,plain,
% 27.65/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10774,plain,
% 27.65/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))),
% 27.65/18.22 inference(quant_inst,[status(thm)],[])).
% 27.65/18.22 tff(10775,plain,
% 27.65/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82))),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10774, 10773])).
% 27.65/18.22 tff(10776,plain,
% 27.65/18.22 (v101(constB82) | (~v102(constB82))),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10775, 410, 10752, 10772])).
% 27.65/18.22 tff(10777,plain,
% 27.65/18.22 (v101(constB82)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10776, 10769])).
% 27.65/18.22 tff(10778,plain,
% 27.65/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10779,plain,
% 27.65/18.22 (((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82)) <=> ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10780,plain,
% 27.65/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82))))),
% 27.65/18.22 inference(monotonicity,[status(thm)],[10779])).
% 27.65/18.22 tff(10781,plain,
% 27.65/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 27.65/18.22 inference(transitivity,[status(thm)],[10780, 10778])).
% 27.65/18.22 tff(10782,plain,
% 27.65/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))),
% 27.65/18.22 inference(quant_inst,[status(thm)],[])).
% 27.65/18.22 tff(10783,plain,
% 27.65/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82))),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10782, 10781])).
% 27.65/18.22 tff(10784,plain,
% 27.65/18.22 (v100(constB82) | (~v101(constB82)) | (~v110(constB82))),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10783, 425, 10752])).
% 27.65/18.22 tff(10785,plain,
% 27.65/18.22 (v100(constB82) | (~v110(constB82))),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10784, 10777])).
% 27.65/18.22 tff(10786,plain,
% 27.65/18.22 (v100(constB82)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10785, 10760])).
% 27.65/18.22 tff(10787,plain,
% 27.65/18.22 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB81)) | v130(constB81, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB81)) | v130(constB81, 2))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10788,plain,
% 27.65/18.22 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB81)) | v130(constB81, 2))),
% 27.65/18.22 inference(quant_inst,[status(thm)],[])).
% 27.65/18.22 tff(10789,plain,
% 27.65/18.22 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB81)) | v130(constB81, 2)),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10788, 10787])).
% 27.65/18.22 tff(10790,plain,
% 27.65/18.22 (v130(constB81, 2)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10789, 1656, 10719])).
% 27.65/18.22 tff(10791,plain,
% 27.65/18.22 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB81) | (~v130(constB81, 2)) | v127(constB81, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB81) | (~v130(constB81, 2)) | v127(constB81, 2))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10792,plain,
% 27.65/18.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB81) | (~v130(constB81, 2)) | v127(constB81, 2))),
% 27.65/18.22 inference(quant_inst,[status(thm)],[])).
% 27.65/18.22 tff(10793,plain,
% 27.65/18.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB81) | (~v130(constB81, 2)) | v127(constB81, 2)),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10792, 10791])).
% 27.65/18.22 tff(10794,plain,
% 27.65/18.22 (v26(constB81) | v127(constB81, 2)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10793, 1498, 10790])).
% 27.65/18.22 tff(10795,plain,
% 27.65/18.22 (v127(constB81, 2)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10794, 102])).
% 27.65/18.22 tff(10796,plain,
% 27.65/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB81, constB82)) | (~v127(constB81, 2)) | v129(constB82, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB81, constB82)) | (~v127(constB81, 2)) | v129(constB82, 2))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10797,plain,
% 27.65/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB81, constB82)) | (~v127(constB81, 2)) | v129(constB82, 2))),
% 27.65/18.22 inference(quant_inst,[status(thm)],[])).
% 27.65/18.22 tff(10798,plain,
% 27.65/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB81, constB82)) | (~v127(constB81, 2)) | v129(constB82, 2)),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10797, 10796])).
% 27.65/18.22 tff(10799,plain,
% 27.65/18.22 ((~v127(constB81, 2)) | v129(constB82, 2)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10798, 1513, 10752])).
% 27.65/18.22 tff(10800,plain,
% 27.65/18.22 (v129(constB82, 2)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10799, 10795])).
% 27.65/18.22 tff(10801,plain,
% 27.65/18.22 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB82, 2) | (~v129(constB82, 2)) | (~v100(constB82)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB82, 2) | (~v129(constB82, 2)) | (~v100(constB82)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10802,plain,
% 27.65/18.22 ((v90(constB82, 2) | (~v100(constB82)) | (~v129(constB82, 2))) <=> (v90(constB82, 2) | (~v129(constB82, 2)) | (~v100(constB82)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10803,plain,
% 27.65/18.22 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB82, 2) | (~v100(constB82)) | (~v129(constB82, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB82, 2) | (~v129(constB82, 2)) | (~v100(constB82))))),
% 27.65/18.22 inference(monotonicity,[status(thm)],[10802])).
% 27.65/18.22 tff(10804,plain,
% 27.65/18.22 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB82, 2) | (~v100(constB82)) | (~v129(constB82, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB82, 2) | (~v129(constB82, 2)) | (~v100(constB82)))),
% 27.65/18.22 inference(transitivity,[status(thm)],[10803, 10801])).
% 27.65/18.22 tff(10805,plain,
% 27.65/18.22 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB82, 2) | (~v100(constB82)) | (~v129(constB82, 2)))),
% 27.65/18.22 inference(quant_inst,[status(thm)],[])).
% 27.65/18.22 tff(10806,plain,
% 27.65/18.22 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB82, 2) | (~v129(constB82, 2)) | (~v100(constB82))),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10805, 10804])).
% 27.65/18.22 tff(10807,plain,
% 27.65/18.22 (v90(constB82, 2) | (~v100(constB82))),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10806, 1528, 10800])).
% 27.65/18.22 tff(10808,plain,
% 27.65/18.22 (v90(constB82, 2)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10807, 10786])).
% 27.65/18.22 tff(10809,plain,
% 27.65/18.22 ((~v1(constB83)) <=> (~v1(constB83))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10810,axiom,(~v1(constB83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_83_1_1')).
% 27.65/18.22 tff(10811,plain,
% 27.65/18.22 (~v1(constB83)),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10810, 10809])).
% 27.65/18.22 tff(10812,plain,
% 27.65/18.22 (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10813,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_82_1')).
% 27.65/18.22 tff(10814,plain,
% 27.65/18.22 (nextState(constB82, constB83)),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10813, 10812])).
% 27.65/18.22 tff(10815,plain,
% 27.65/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10816,plain,
% 27.65/18.22 (((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83)) <=> (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 27.65/18.22 inference(rewrite,[status(thm)],[])).
% 27.65/18.22 tff(10817,plain,
% 27.65/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83))))),
% 27.65/18.22 inference(monotonicity,[status(thm)],[10816])).
% 27.65/18.22 tff(10818,plain,
% 27.65/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 27.65/18.22 inference(transitivity,[status(thm)],[10817, 10815])).
% 27.65/18.22 tff(10819,plain,
% 27.65/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))),
% 27.65/18.22 inference(quant_inst,[status(thm)],[])).
% 27.65/18.22 tff(10820,plain,
% 27.65/18.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83))),
% 27.65/18.22 inference(modus_ponens,[status(thm)],[10819, 10818])).
% 27.65/18.22 tff(10821,plain,
% 27.65/18.22 (~v101(constB83)),
% 27.65/18.22 inference(unit_resolution,[status(thm)],[10820, 138, 10814, 10811])).
% 27.65/18.22 tff(10822,plain,
% 27.65/18.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10823,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10824,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83))),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10823, 10822])).
% 27.65/18.23 tff(10825,plain,
% 27.65/18.23 (v101(constB83) | (~v100(constB83))),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10824, 155, 10814])).
% 27.65/18.23 tff(10826,plain,
% 27.65/18.23 (~v100(constB83)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10825, 10821])).
% 27.65/18.23 tff(10827,plain,
% 27.65/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB82, 2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB82, 2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 2))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10828,plain,
% 27.65/18.23 (((~nextState(constB82, constB83)) | (~v90(constB82, 2)) | v100(constB83) | v90(constB83, 2)) <=> ((~v90(constB82, 2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 2))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10829,plain,
% 27.65/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, 2)) | v100(constB83) | v90(constB83, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB82, 2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 2)))),
% 27.65/18.23 inference(monotonicity,[status(thm)],[10828])).
% 27.65/18.23 tff(10830,plain,
% 27.65/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, 2)) | v100(constB83) | v90(constB83, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB82, 2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 2))),
% 27.65/18.23 inference(transitivity,[status(thm)],[10829, 10827])).
% 27.65/18.23 tff(10831,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, 2)) | v100(constB83) | v90(constB83, 2))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10832,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB82, 2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 2)),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10831, 10830])).
% 27.65/18.23 tff(10833,plain,
% 27.65/18.23 ((~v90(constB82, 2)) | v100(constB83) | v90(constB83, 2)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10832, 1546, 10814])).
% 27.65/18.23 tff(10834,plain,
% 27.65/18.23 ((~v90(constB82, 2)) | v90(constB83, 2)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10833, 10826])).
% 27.65/18.23 tff(10835,plain,
% 27.65/18.23 (v90(constB83, 2)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10834, 10808])).
% 27.65/18.23 tff(10836,plain,
% 27.65/18.23 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB81)) | (~v130(constB81, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB81)) | (~v130(constB81, 1)))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10837,plain,
% 27.65/18.23 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB81)) | (~v130(constB81, 1)))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10838,plain,
% 27.65/18.23 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB81)) | (~v130(constB81, 1))),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10837, 10836])).
% 27.65/18.23 tff(10839,plain,
% 27.65/18.23 (~v130(constB81, 1)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10838, 1712, 10719])).
% 27.65/18.23 tff(10840,plain,
% 27.65/18.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB81, 1)) | v26(constB81) | v130(constB81, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB81, 1)) | v26(constB81) | v130(constB81, 1))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10841,plain,
% 27.65/18.23 ((v26(constB81) | v130(constB81, 1) | (~v127(constB81, 1))) <=> ((~v127(constB81, 1)) | v26(constB81) | v130(constB81, 1))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10842,plain,
% 27.65/18.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB81) | v130(constB81, 1) | (~v127(constB81, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB81, 1)) | v26(constB81) | v130(constB81, 1)))),
% 27.65/18.23 inference(monotonicity,[status(thm)],[10841])).
% 27.65/18.23 tff(10843,plain,
% 27.65/18.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB81) | v130(constB81, 1) | (~v127(constB81, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB81, 1)) | v26(constB81) | v130(constB81, 1))),
% 27.65/18.23 inference(transitivity,[status(thm)],[10842, 10840])).
% 27.65/18.23 tff(10844,plain,
% 27.65/18.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB81) | v130(constB81, 1) | (~v127(constB81, 1)))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10845,plain,
% 27.65/18.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB81, 1)) | v26(constB81) | v130(constB81, 1)),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10844, 10843])).
% 27.65/18.23 tff(10846,plain,
% 27.65/18.23 ((~v127(constB81, 1)) | v26(constB81)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10845, 541, 10839])).
% 27.65/18.23 tff(10847,plain,
% 27.65/18.23 (~v127(constB81, 1)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10846, 102])).
% 27.65/18.23 tff(10848,plain,
% 27.65/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB81, constB82)) | v127(constB81, 1) | (~v129(constB82, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB81, constB82)) | v127(constB81, 1) | (~v129(constB82, 1)))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10849,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB81, constB82)) | v127(constB81, 1) | (~v129(constB82, 1)))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10850,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB81, constB82)) | v127(constB81, 1) | (~v129(constB82, 1))),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10849, 10848])).
% 27.65/18.23 tff(10851,plain,
% 27.65/18.23 (v127(constB81, 1) | (~v129(constB82, 1))),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10850, 559, 10752])).
% 27.65/18.23 tff(10852,plain,
% 27.65/18.23 (~v129(constB82, 1)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10851, 10847])).
% 27.65/18.23 tff(10853,plain,
% 27.65/18.23 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB82, 1)) | v129(constB82, 1) | (~v100(constB82)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB82, 1)) | v129(constB82, 1) | (~v100(constB82)))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10854,plain,
% 27.65/18.23 (((~v90(constB82, 1)) | (~v100(constB82)) | v129(constB82, 1)) <=> ((~v90(constB82, 1)) | v129(constB82, 1) | (~v100(constB82)))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10855,plain,
% 27.65/18.23 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB82, 1)) | (~v100(constB82)) | v129(constB82, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB82, 1)) | v129(constB82, 1) | (~v100(constB82))))),
% 27.65/18.23 inference(monotonicity,[status(thm)],[10854])).
% 27.65/18.23 tff(10856,plain,
% 27.65/18.23 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB82, 1)) | (~v100(constB82)) | v129(constB82, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB82, 1)) | v129(constB82, 1) | (~v100(constB82)))),
% 27.65/18.23 inference(transitivity,[status(thm)],[10855, 10853])).
% 27.65/18.23 tff(10857,plain,
% 27.65/18.23 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB82, 1)) | (~v100(constB82)) | v129(constB82, 1))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10858,plain,
% 27.65/18.23 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB82, 1)) | v129(constB82, 1) | (~v100(constB82))),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10857, 10856])).
% 27.65/18.23 tff(10859,plain,
% 27.65/18.23 ((~v90(constB82, 1)) | (~v100(constB82))),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10858, 574, 10852])).
% 27.65/18.23 tff(10860,plain,
% 27.65/18.23 (~v90(constB82, 1)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10859, 10786])).
% 27.65/18.23 tff(10861,plain,
% 27.65/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB82, 1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB82, 1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, 1)))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10862,plain,
% 27.65/18.23 (((~nextState(constB82, constB83)) | v90(constB82, 1) | v100(constB83) | (~v90(constB83, 1))) <=> (v90(constB82, 1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, 1)))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10863,plain,
% 27.65/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB82, constB83)) | v90(constB82, 1) | v100(constB83) | (~v90(constB83, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB82, 1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, 1))))),
% 27.65/18.23 inference(monotonicity,[status(thm)],[10862])).
% 27.65/18.23 tff(10864,plain,
% 27.65/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB82, constB83)) | v90(constB82, 1) | v100(constB83) | (~v90(constB83, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB82, 1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, 1)))),
% 27.65/18.23 inference(transitivity,[status(thm)],[10863, 10861])).
% 27.65/18.23 tff(10865,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB82, constB83)) | v90(constB82, 1) | v100(constB83) | (~v90(constB83, 1)))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10866,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB82, 1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, 1))),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10865, 10864])).
% 27.65/18.23 tff(10867,plain,
% 27.65/18.23 (v90(constB82, 1) | v100(constB83) | (~v90(constB83, 1))),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10866, 191, 10814])).
% 27.65/18.23 tff(10868,plain,
% 27.65/18.23 (v90(constB82, 1) | (~v90(constB83, 1))),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10867, 10826])).
% 27.65/18.23 tff(10869,plain,
% 27.65/18.23 (~v90(constB83, 1)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10868, 10860])).
% 27.65/18.23 tff(10870,plain,
% 27.65/18.23 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB81)) | v130(constB81, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB81)) | v130(constB81, 0))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10871,plain,
% 27.65/18.23 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB81)) | v130(constB81, 0))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10872,plain,
% 27.65/18.23 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB81)) | v130(constB81, 0)),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10871, 10870])).
% 27.65/18.23 tff(10873,plain,
% 27.65/18.23 (v130(constB81, 0)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10872, 1753, 10719])).
% 27.65/18.23 tff(10874,plain,
% 27.65/18.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB81) | (~v130(constB81, 0)) | v127(constB81, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB81) | (~v130(constB81, 0)) | v127(constB81, 0))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10875,plain,
% 27.65/18.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB81) | (~v130(constB81, 0)) | v127(constB81, 0))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10876,plain,
% 27.65/18.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB81) | (~v130(constB81, 0)) | v127(constB81, 0)),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10875, 10874])).
% 27.65/18.23 tff(10877,plain,
% 27.65/18.23 (v26(constB81) | v127(constB81, 0)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10876, 612, 10873])).
% 27.65/18.23 tff(10878,plain,
% 27.65/18.23 (v127(constB81, 0)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10877, 102])).
% 27.65/18.23 tff(10879,plain,
% 27.65/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB81, constB82)) | (~v127(constB81, 0)) | v129(constB82, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB81, constB82)) | (~v127(constB81, 0)) | v129(constB82, 0))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10880,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB81, constB82)) | (~v127(constB81, 0)) | v129(constB82, 0))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10881,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB81, constB82)) | (~v127(constB81, 0)) | v129(constB82, 0)),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10880, 10879])).
% 27.65/18.23 tff(10882,plain,
% 27.65/18.23 ((~v127(constB81, 0)) | v129(constB82, 0)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10881, 627, 10752])).
% 27.65/18.23 tff(10883,plain,
% 27.65/18.23 (v129(constB82, 0)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10882, 10878])).
% 27.65/18.23 tff(10884,plain,
% 27.65/18.23 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB82, 0) | (~v129(constB82, 0)) | (~v100(constB82)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB82, 0) | (~v129(constB82, 0)) | (~v100(constB82)))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10885,plain,
% 27.65/18.23 ((v90(constB82, 0) | (~v100(constB82)) | (~v129(constB82, 0))) <=> (v90(constB82, 0) | (~v129(constB82, 0)) | (~v100(constB82)))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10886,plain,
% 27.65/18.23 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB82, 0) | (~v100(constB82)) | (~v129(constB82, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB82, 0) | (~v129(constB82, 0)) | (~v100(constB82))))),
% 27.65/18.23 inference(monotonicity,[status(thm)],[10885])).
% 27.65/18.23 tff(10887,plain,
% 27.65/18.23 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB82, 0) | (~v100(constB82)) | (~v129(constB82, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB82, 0) | (~v129(constB82, 0)) | (~v100(constB82)))),
% 27.65/18.23 inference(transitivity,[status(thm)],[10886, 10884])).
% 27.65/18.23 tff(10888,plain,
% 27.65/18.23 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB82, 0) | (~v100(constB82)) | (~v129(constB82, 0)))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10889,plain,
% 27.65/18.23 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB82, 0) | (~v129(constB82, 0)) | (~v100(constB82))),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10888, 10887])).
% 27.65/18.23 tff(10890,plain,
% 27.65/18.23 (v90(constB82, 0) | (~v100(constB82))),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10889, 642, 10883])).
% 27.65/18.23 tff(10891,plain,
% 27.65/18.23 (v90(constB82, 0)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10890, 10786])).
% 27.65/18.23 tff(10892,plain,
% 27.65/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB82, 0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB82, 0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 0))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10893,plain,
% 27.65/18.23 (((~nextState(constB82, constB83)) | (~v90(constB82, 0)) | v100(constB83) | v90(constB83, 0)) <=> ((~v90(constB82, 0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 0))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10894,plain,
% 27.65/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB82, constB83)) | (~v90(constB82, 0)) | v100(constB83) | v90(constB83, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB82, 0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 0)))),
% 27.65/18.23 inference(monotonicity,[status(thm)],[10893])).
% 27.65/18.23 tff(10895,plain,
% 27.65/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB82, constB83)) | (~v90(constB82, 0)) | v100(constB83) | v90(constB83, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB82, 0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 0))),
% 27.65/18.23 inference(transitivity,[status(thm)],[10894, 10892])).
% 27.65/18.23 tff(10896,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB82, constB83)) | (~v90(constB82, 0)) | v100(constB83) | v90(constB83, 0))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10897,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB82, 0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 0)),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10896, 10895])).
% 27.65/18.23 tff(10898,plain,
% 27.65/18.23 ((~v90(constB82, 0)) | v100(constB83) | v90(constB83, 0)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10897, 660, 10814])).
% 27.65/18.23 tff(10899,plain,
% 27.65/18.23 ((~v90(constB82, 0)) | v90(constB83, 0)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10898, 10826])).
% 27.65/18.23 tff(10900,plain,
% 27.65/18.23 (v90(constB83, 0)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10899, 10891])).
% 27.65/18.23 tff(10901,plain,
% 27.65/18.23 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB83, 0)) | v90(constB83, 1) | (~v90(constB83, 2)) | v124(constB83))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB83, 0)) | v90(constB83, 1) | (~v90(constB83, 2)) | v124(constB83))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10902,plain,
% 27.65/18.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB83, 0)) | v90(constB83, 1) | (~v90(constB83, 2)) | v124(constB83))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10903,plain,
% 27.65/18.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB83, 0)) | v90(constB83, 1) | (~v90(constB83, 2)) | v124(constB83)),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10902, 10901])).
% 27.65/18.23 tff(10904,plain,
% 27.65/18.23 (v124(constB83)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10903, 1794, 10900, 10869, 10835])).
% 27.65/18.23 tff(10905,plain,
% 27.65/18.23 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB83)) | v114(constB83))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB83)) | v114(constB83))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10906,plain,
% 27.65/18.23 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB83)) | v114(constB83))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10907,plain,
% 27.65/18.23 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB83)) | v114(constB83)),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10906, 10905])).
% 27.65/18.23 tff(10908,plain,
% 27.65/18.23 (v114(constB83)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10907, 1805, 10904])).
% 27.65/18.23 tff(10909,plain,
% 27.65/18.23 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB83)) | v113(constB83))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB83)) | v113(constB83))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10910,plain,
% 27.65/18.23 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB83)) | v113(constB83))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10911,plain,
% 27.65/18.23 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB83)) | v113(constB83)),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10910, 10909])).
% 27.65/18.23 tff(10912,plain,
% 27.65/18.23 (v113(constB83)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10911, 314, 10908])).
% 27.65/18.23 tff(10913,assumption,(v26(constB83)), introduced(assumption)).
% 27.65/18.23 tff(10914,plain,
% 27.65/18.23 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB83))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10915,plain,
% 27.65/18.23 ($false),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10914, 95, 10913])).
% 27.65/18.23 tff(10916,plain,(~v26(constB83)), inference(lemma,lemma(discharge,[]))).
% 27.65/18.23 tff(10917,plain,
% 27.65/18.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | (~v113(constB83)) | v112(constB83))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10918,plain,
% 27.65/18.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10919,plain,
% 27.65/18.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | (~v113(constB83)) | v112(constB83)),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10918, 10917])).
% 27.65/18.23 tff(10920,plain,
% 27.65/18.23 ((~v113(constB83)) | v112(constB83)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10919, 328, 10916])).
% 27.65/18.23 tff(10921,plain,
% 27.65/18.23 (v112(constB83)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10920, 10912])).
% 27.65/18.23 tff(10922,plain,
% 27.65/18.23 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB83) | (~v112(constB83)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB83) | (~v112(constB83)))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10923,plain,
% 27.65/18.23 (((~v112(constB83)) | v108(constB83)) <=> (v108(constB83) | (~v112(constB83)))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10924,plain,
% 27.65/18.23 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB83)) | v108(constB83))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB83) | (~v112(constB83))))),
% 27.65/18.23 inference(monotonicity,[status(thm)],[10923])).
% 27.65/18.23 tff(10925,plain,
% 27.65/18.23 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB83)) | v108(constB83))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB83) | (~v112(constB83)))),
% 27.65/18.23 inference(transitivity,[status(thm)],[10924, 10922])).
% 27.65/18.23 tff(10926,plain,
% 27.65/18.23 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB83)) | v108(constB83))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10927,plain,
% 27.65/18.23 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB83) | (~v112(constB83))),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10926, 10925])).
% 27.65/18.23 tff(10928,plain,
% 27.65/18.23 (v108(constB83)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10927, 340, 10921])).
% 27.65/18.23 tff(10929,plain,
% 27.65/18.23 (nextState(constB83, constB84) <=> nextState(constB83, constB84)),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10930,axiom,(nextState(constB83, constB84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_83_1')).
% 27.65/18.23 tff(10931,plain,
% 27.65/18.23 (nextState(constB83, constB84)),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10930, 10929])).
% 27.65/18.23 tff(10932,plain,
% 27.65/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10933,plain,
% 27.65/18.23 (((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84)) <=> ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10934,plain,
% 27.65/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83))))),
% 27.65/18.23 inference(monotonicity,[status(thm)],[10933])).
% 27.65/18.23 tff(10935,plain,
% 27.65/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 27.65/18.23 inference(transitivity,[status(thm)],[10934, 10932])).
% 27.65/18.23 tff(10936,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10937,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83))),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10936, 10935])).
% 27.65/18.23 tff(10938,plain,
% 27.65/18.23 (v110(constB84) | (~v108(constB83))),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10937, 360, 10931])).
% 27.65/18.23 tff(10939,plain,
% 27.65/18.23 (v110(constB84)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10938, 10928])).
% 27.65/18.23 tff(10940,plain,
% 27.65/18.23 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10941,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10942,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84))),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10941, 10940])).
% 27.65/18.23 tff(10943,plain,
% 27.65/18.23 (~v104(constB84)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10942, 378, 10931, 10811])).
% 27.65/18.23 tff(10944,plain,
% 27.65/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10945,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10946,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB83, constB84)) | v102(constB84) | v104(constB84)),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10945, 10944])).
% 27.65/18.23 tff(10947,plain,
% 27.65/18.23 (v102(constB84) | v104(constB84)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10946, 392, 10931])).
% 27.65/18.23 tff(10948,plain,
% 27.65/18.23 (v102(constB84)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10947, 10943])).
% 27.65/18.23 tff(10949,plain,
% 27.65/18.23 (v1(constB84) <=> v1(constB84)),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10950,axiom,(v1(constB84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_84_1')).
% 27.65/18.23 tff(10951,plain,
% 27.65/18.23 (v1(constB84)),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10950, 10949])).
% 27.65/18.23 tff(10952,plain,
% 27.65/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10953,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10954,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84))),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10953, 10952])).
% 27.65/18.23 tff(10955,plain,
% 27.65/18.23 (v101(constB84) | (~v102(constB84))),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10954, 410, 10931, 10951])).
% 27.65/18.23 tff(10956,plain,
% 27.65/18.23 (v101(constB84)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10955, 10948])).
% 27.65/18.23 tff(10957,plain,
% 27.65/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10958,plain,
% 27.65/18.23 (((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84)) <=> ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10959,plain,
% 27.65/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84))))),
% 27.65/18.23 inference(monotonicity,[status(thm)],[10958])).
% 27.65/18.23 tff(10960,plain,
% 27.65/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 27.65/18.23 inference(transitivity,[status(thm)],[10959, 10957])).
% 27.65/18.23 tff(10961,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10962,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84))),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10961, 10960])).
% 27.65/18.23 tff(10963,plain,
% 27.65/18.23 (v100(constB84) | (~v101(constB84)) | (~v110(constB84))),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10962, 425, 10931])).
% 27.65/18.23 tff(10964,plain,
% 27.65/18.23 (v100(constB84) | (~v110(constB84))),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10963, 10956])).
% 27.65/18.23 tff(10965,plain,
% 27.65/18.23 (v100(constB84)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10964, 10939])).
% 27.65/18.23 tff(10966,plain,
% 27.65/18.23 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB83)) | v130(constB83, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB83)) | v130(constB83, 1))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10967,plain,
% 27.65/18.23 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB83)) | v130(constB83, 1))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10968,plain,
% 27.65/18.23 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB83)) | v130(constB83, 1)),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10967, 10966])).
% 27.65/18.23 tff(10969,plain,
% 27.65/18.23 (v130(constB83, 1)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10968, 1929, 10904])).
% 27.65/18.23 tff(10970,plain,
% 27.65/18.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB83) | (~v130(constB83, 1)) | v127(constB83, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB83) | (~v130(constB83, 1)) | v127(constB83, 1))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10971,plain,
% 27.65/18.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB83) | (~v130(constB83, 1)) | v127(constB83, 1))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10972,plain,
% 27.65/18.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB83) | (~v130(constB83, 1)) | v127(constB83, 1)),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10971, 10970])).
% 27.65/18.23 tff(10973,plain,
% 27.65/18.23 ((~v130(constB83, 1)) | v127(constB83, 1)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10972, 855, 10916])).
% 27.65/18.23 tff(10974,plain,
% 27.65/18.23 (v127(constB83, 1)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10973, 10969])).
% 27.65/18.23 tff(10975,plain,
% 27.65/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB83, constB84)) | (~v127(constB83, 1)) | v129(constB84, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB83, constB84)) | (~v127(constB83, 1)) | v129(constB84, 1))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10976,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB83, constB84)) | (~v127(constB83, 1)) | v129(constB84, 1))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10977,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB83, constB84)) | (~v127(constB83, 1)) | v129(constB84, 1)),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10976, 10975])).
% 27.65/18.23 tff(10978,plain,
% 27.65/18.23 ((~v127(constB83, 1)) | v129(constB84, 1)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10977, 870, 10931])).
% 27.65/18.23 tff(10979,plain,
% 27.65/18.23 (v129(constB84, 1)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10978, 10974])).
% 27.65/18.23 tff(10980,plain,
% 27.65/18.23 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB84, 1) | (~v129(constB84, 1)) | (~v100(constB84)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB84, 1) | (~v129(constB84, 1)) | (~v100(constB84)))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10981,plain,
% 27.65/18.23 ((v90(constB84, 1) | (~v100(constB84)) | (~v129(constB84, 1))) <=> (v90(constB84, 1) | (~v129(constB84, 1)) | (~v100(constB84)))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10982,plain,
% 27.65/18.23 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB84, 1) | (~v100(constB84)) | (~v129(constB84, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB84, 1) | (~v129(constB84, 1)) | (~v100(constB84))))),
% 27.65/18.23 inference(monotonicity,[status(thm)],[10981])).
% 27.65/18.23 tff(10983,plain,
% 27.65/18.23 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB84, 1) | (~v100(constB84)) | (~v129(constB84, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB84, 1) | (~v129(constB84, 1)) | (~v100(constB84)))),
% 27.65/18.23 inference(transitivity,[status(thm)],[10982, 10980])).
% 27.65/18.23 tff(10984,plain,
% 27.65/18.23 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB84, 1) | (~v100(constB84)) | (~v129(constB84, 1)))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10985,plain,
% 27.65/18.23 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB84, 1) | (~v129(constB84, 1)) | (~v100(constB84))),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10984, 10983])).
% 27.65/18.23 tff(10986,plain,
% 27.65/18.23 (v90(constB84, 1) | (~v100(constB84))),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10985, 885, 10979])).
% 27.65/18.23 tff(10987,plain,
% 27.65/18.23 (v90(constB84, 1)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10986, 10965])).
% 27.65/18.23 tff(10988,plain,
% 27.65/18.23 ((~v1(constB85)) <=> (~v1(constB85))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10989,axiom,(~v1(constB85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_85_1_1')).
% 27.65/18.23 tff(10990,plain,
% 27.65/18.23 (~v1(constB85)),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10989, 10988])).
% 27.65/18.23 tff(10991,plain,
% 27.65/18.23 (nextState(constB84, constB85) <=> nextState(constB84, constB85)),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10992,axiom,(nextState(constB84, constB85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_84_1')).
% 27.65/18.23 tff(10993,plain,
% 27.65/18.23 (nextState(constB84, constB85)),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10992, 10991])).
% 27.65/18.23 tff(10994,plain,
% 27.65/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10995,plain,
% 27.65/18.23 (((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85)) <=> (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(10996,plain,
% 27.65/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85))))),
% 27.65/18.23 inference(monotonicity,[status(thm)],[10995])).
% 27.65/18.23 tff(10997,plain,
% 27.65/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 27.65/18.23 inference(transitivity,[status(thm)],[10996, 10994])).
% 27.65/18.23 tff(10998,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(10999,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85))),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[10998, 10997])).
% 27.65/18.23 tff(11000,plain,
% 27.65/18.23 (~v101(constB85)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[10999, 138, 10993, 10990])).
% 27.65/18.23 tff(11001,plain,
% 27.65/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))),
% 27.65/18.23 inference(rewrite,[status(thm)],[])).
% 27.65/18.23 tff(11002,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))),
% 27.65/18.23 inference(quant_inst,[status(thm)],[])).
% 27.65/18.23 tff(11003,plain,
% 27.65/18.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85))),
% 27.65/18.23 inference(modus_ponens,[status(thm)],[11002, 11001])).
% 27.65/18.23 tff(11004,plain,
% 27.65/18.23 (v101(constB85) | (~v100(constB85))),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[11003, 155, 10993])).
% 27.65/18.23 tff(11005,plain,
% 27.65/18.23 (~v100(constB85)),
% 27.65/18.23 inference(unit_resolution,[status(thm)],[11004, 11000])).
% 27.65/18.23 tff(11006,plain,
% 27.65/18.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB84, 1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB84, 1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 1))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11007,plain,
% 27.72/18.24 (((~nextState(constB84, constB85)) | (~v90(constB84, 1)) | v100(constB85) | v90(constB85, 1)) <=> ((~v90(constB84, 1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 1))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11008,plain,
% 27.72/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, 1)) | v100(constB85) | v90(constB85, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB84, 1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 1)))),
% 27.72/18.24 inference(monotonicity,[status(thm)],[11007])).
% 27.72/18.24 tff(11009,plain,
% 27.72/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, 1)) | v100(constB85) | v90(constB85, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB84, 1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 1))),
% 27.72/18.24 inference(transitivity,[status(thm)],[11008, 11006])).
% 27.72/18.24 tff(11010,plain,
% 27.72/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, 1)) | v100(constB85) | v90(constB85, 1))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11011,plain,
% 27.72/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB84, 1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 1)),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11010, 11009])).
% 27.72/18.24 tff(11012,plain,
% 27.72/18.24 ((~v90(constB84, 1)) | v100(constB85) | v90(constB85, 1)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11011, 903, 10993])).
% 27.72/18.24 tff(11013,plain,
% 27.72/18.24 ((~v90(constB84, 1)) | v90(constB85, 1)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11012, 11005])).
% 27.72/18.24 tff(11014,plain,
% 27.72/18.24 (v90(constB85, 1)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11013, 10987])).
% 27.72/18.24 tff(11015,plain,
% 27.72/18.24 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB85)) | (~v90(constB85, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB85)) | (~v90(constB85, 1)))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11016,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB85)) | (~v90(constB85, 1)))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11017,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB85)) | (~v90(constB85, 1))),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11016, 11015])).
% 27.72/18.24 tff(11018,plain,
% 27.72/18.24 (~v124(constB85)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11017, 2097, 11014])).
% 27.72/18.24 tff(11019,plain,
% 27.72/18.24 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB83)) | v130(constB83, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB83)) | v130(constB83, 2))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11020,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB83)) | v130(constB83, 2))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11021,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB83)) | v130(constB83, 2)),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11020, 11019])).
% 27.72/18.24 tff(11022,plain,
% 27.72/18.24 (v130(constB83, 2)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11021, 1873, 10904])).
% 27.72/18.24 tff(11023,plain,
% 27.72/18.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB83) | (~v130(constB83, 2)) | v127(constB83, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB83) | (~v130(constB83, 2)) | v127(constB83, 2))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11024,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB83) | (~v130(constB83, 2)) | v127(constB83, 2))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11025,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB83) | (~v130(constB83, 2)) | v127(constB83, 2)),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11024, 11023])).
% 27.72/18.24 tff(11026,plain,
% 27.72/18.24 ((~v130(constB83, 2)) | v127(constB83, 2)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11025, 1498, 10916])).
% 27.72/18.24 tff(11027,plain,
% 27.72/18.24 (v127(constB83, 2)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11026, 11022])).
% 27.72/18.24 tff(11028,plain,
% 27.72/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB83, constB84)) | (~v127(constB83, 2)) | v129(constB84, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB83, constB84)) | (~v127(constB83, 2)) | v129(constB84, 2))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11029,plain,
% 27.72/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB83, constB84)) | (~v127(constB83, 2)) | v129(constB84, 2))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11030,plain,
% 27.72/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB83, constB84)) | (~v127(constB83, 2)) | v129(constB84, 2)),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11029, 11028])).
% 27.72/18.24 tff(11031,plain,
% 27.72/18.24 ((~v127(constB83, 2)) | v129(constB84, 2)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11030, 1513, 10931])).
% 27.72/18.24 tff(11032,plain,
% 27.72/18.24 (v129(constB84, 2)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11031, 11027])).
% 27.72/18.24 tff(11033,plain,
% 27.72/18.24 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB84, 2) | (~v129(constB84, 2)) | (~v100(constB84)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB84, 2) | (~v129(constB84, 2)) | (~v100(constB84)))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11034,plain,
% 27.72/18.24 ((v90(constB84, 2) | (~v100(constB84)) | (~v129(constB84, 2))) <=> (v90(constB84, 2) | (~v129(constB84, 2)) | (~v100(constB84)))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11035,plain,
% 27.72/18.24 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB84, 2) | (~v100(constB84)) | (~v129(constB84, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB84, 2) | (~v129(constB84, 2)) | (~v100(constB84))))),
% 27.72/18.24 inference(monotonicity,[status(thm)],[11034])).
% 27.72/18.24 tff(11036,plain,
% 27.72/18.24 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB84, 2) | (~v100(constB84)) | (~v129(constB84, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB84, 2) | (~v129(constB84, 2)) | (~v100(constB84)))),
% 27.72/18.24 inference(transitivity,[status(thm)],[11035, 11033])).
% 27.72/18.24 tff(11037,plain,
% 27.72/18.24 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB84, 2) | (~v100(constB84)) | (~v129(constB84, 2)))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11038,plain,
% 27.72/18.24 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB84, 2) | (~v129(constB84, 2)) | (~v100(constB84))),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11037, 11036])).
% 27.72/18.24 tff(11039,plain,
% 27.72/18.24 (v90(constB84, 2) | (~v100(constB84))),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11038, 1528, 11032])).
% 27.72/18.24 tff(11040,plain,
% 27.72/18.24 (v90(constB84, 2)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11039, 10965])).
% 27.72/18.24 tff(11041,plain,
% 27.72/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB84, 2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB84, 2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 2))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11042,plain,
% 27.72/18.24 (((~nextState(constB84, constB85)) | (~v90(constB84, 2)) | v100(constB85) | v90(constB85, 2)) <=> ((~v90(constB84, 2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 2))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11043,plain,
% 27.72/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, 2)) | v100(constB85) | v90(constB85, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB84, 2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 2)))),
% 27.72/18.24 inference(monotonicity,[status(thm)],[11042])).
% 27.72/18.24 tff(11044,plain,
% 27.72/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, 2)) | v100(constB85) | v90(constB85, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB84, 2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 2))),
% 27.72/18.24 inference(transitivity,[status(thm)],[11043, 11041])).
% 27.72/18.24 tff(11045,plain,
% 27.72/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, 2)) | v100(constB85) | v90(constB85, 2))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11046,plain,
% 27.72/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB84, 2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 2)),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11045, 11044])).
% 27.72/18.24 tff(11047,plain,
% 27.72/18.24 ((~v90(constB84, 2)) | v100(constB85) | v90(constB85, 2)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11046, 1546, 10993])).
% 27.72/18.24 tff(11048,plain,
% 27.72/18.24 ((~v90(constB84, 2)) | v90(constB85, 2)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11047, 11005])).
% 27.72/18.24 tff(11049,plain,
% 27.72/18.24 (v90(constB85, 2)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11048, 11040])).
% 27.72/18.24 tff(11050,plain,
% 27.72/18.24 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB85)) | (~v90(constB85, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB85)) | (~v90(constB85, 2)))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11051,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB85)) | (~v90(constB85, 2)))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11052,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB85)) | (~v90(constB85, 2))),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11051, 11050])).
% 27.72/18.24 tff(11053,plain,
% 27.72/18.24 (~v122(constB85)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11052, 2119, 11049])).
% 27.72/18.24 tff(11054,plain,
% 27.72/18.24 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB85)) | (~v90(constB85, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB85)) | (~v90(constB85, 1)))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11055,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB85)) | (~v90(constB85, 1)))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11056,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB85)) | (~v90(constB85, 1))),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11055, 11054])).
% 27.72/18.24 tff(11057,plain,
% 27.72/18.24 (~v120(constB85)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11056, 2141, 11014])).
% 27.72/18.24 tff(11058,plain,
% 27.72/18.24 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB85)) | (~v90(constB85, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB85)) | (~v90(constB85, 1)))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11059,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB85)) | (~v90(constB85, 1)))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11060,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB85)) | (~v90(constB85, 1))),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11059, 11058])).
% 27.72/18.24 tff(11061,plain,
% 27.72/18.24 (~v123(constB85)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11060, 2108, 11014])).
% 27.72/18.24 tff(11062,plain,
% 27.72/18.24 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB85)) | (~v90(constB85, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB85)) | (~v90(constB85, 2)))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11063,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB85)) | (~v90(constB85, 2)))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11064,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB85)) | (~v90(constB85, 2))),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11063, 11062])).
% 27.72/18.24 tff(11065,plain,
% 27.72/18.24 (~v121(constB85)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11064, 2130, 11049])).
% 27.72/18.24 tff(11066,plain,
% 27.72/18.24 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB85)) | (~v90(constB85, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB85)) | (~v90(constB85, 1)))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11067,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB85)) | (~v90(constB85, 1)))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11068,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB85)) | (~v90(constB85, 1))),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11067, 11066])).
% 27.72/18.24 tff(11069,plain,
% 27.72/18.24 (~v119(constB85)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11068, 2086, 11014])).
% 27.72/18.24 tff(11070,plain,
% 27.72/18.24 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 1)))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11071,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 1)))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11072,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 1))),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11071, 11070])).
% 27.72/18.24 tff(11073,plain,
% 27.72/18.24 (~v130(constB85, 1)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11072, 2214, 11069, 11065, 11061, 11057, 11053, 11018])).
% 27.72/18.24 tff(11074,assumption,(v26(constB85)), introduced(assumption)).
% 27.72/18.24 tff(11075,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB85))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11076,plain,
% 27.72/18.24 ($false),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11075, 95, 11074])).
% 27.72/18.24 tff(11077,plain,(~v26(constB85)), inference(lemma,lemma(discharge,[]))).
% 27.72/18.24 tff(11078,plain,
% 27.72/18.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB85, 1)) | v26(constB85) | v130(constB85, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB85, 1)) | v26(constB85) | v130(constB85, 1))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11079,plain,
% 27.72/18.24 ((v26(constB85) | v130(constB85, 1) | (~v127(constB85, 1))) <=> ((~v127(constB85, 1)) | v26(constB85) | v130(constB85, 1))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11080,plain,
% 27.72/18.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB85) | v130(constB85, 1) | (~v127(constB85, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB85, 1)) | v26(constB85) | v130(constB85, 1)))),
% 27.72/18.24 inference(monotonicity,[status(thm)],[11079])).
% 27.72/18.24 tff(11081,plain,
% 27.72/18.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB85) | v130(constB85, 1) | (~v127(constB85, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB85, 1)) | v26(constB85) | v130(constB85, 1))),
% 27.72/18.24 inference(transitivity,[status(thm)],[11080, 11078])).
% 27.72/18.24 tff(11082,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB85) | v130(constB85, 1) | (~v127(constB85, 1)))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11083,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB85, 1)) | v26(constB85) | v130(constB85, 1)),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11082, 11081])).
% 27.72/18.24 tff(11084,plain,
% 27.72/18.24 ((~v127(constB85, 1)) | v130(constB85, 1)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11083, 541, 11077])).
% 27.72/18.24 tff(11085,plain,
% 27.72/18.24 (~v127(constB85, 1)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11084, 11073])).
% 27.72/18.24 tff(11086,plain,
% 27.72/18.24 (nextState(constB85, constB86) <=> nextState(constB85, constB86)),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11087,axiom,(nextState(constB85, constB86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_85_1')).
% 27.72/18.24 tff(11088,plain,
% 27.72/18.24 (nextState(constB85, constB86)),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11087, 11086])).
% 27.72/18.24 tff(11089,plain,
% 27.72/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB85, constB86)) | v127(constB85, 1) | (~v129(constB86, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB85, constB86)) | v127(constB85, 1) | (~v129(constB86, 1)))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11090,plain,
% 27.72/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB85, constB86)) | v127(constB85, 1) | (~v129(constB86, 1)))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11091,plain,
% 27.72/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB85, constB86)) | v127(constB85, 1) | (~v129(constB86, 1))),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11090, 11089])).
% 27.72/18.24 tff(11092,plain,
% 27.72/18.24 (v127(constB85, 1) | (~v129(constB86, 1))),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11091, 559, 11088])).
% 27.72/18.24 tff(11093,plain,
% 27.72/18.24 (~v129(constB86, 1)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11092, 11085])).
% 27.72/18.24 tff(11094,plain,
% 27.72/18.24 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB83)) | (~v130(constB83, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB83)) | (~v130(constB83, 0)))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11095,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB83)) | (~v130(constB83, 0)))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11096,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB83)) | (~v130(constB83, 0))),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11095, 11094])).
% 27.72/18.24 tff(11097,plain,
% 27.72/18.24 (~v130(constB83, 0)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11096, 1967, 10904])).
% 27.72/18.24 tff(11098,plain,
% 27.72/18.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB83, 0)) | v26(constB83) | v130(constB83, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB83, 0)) | v26(constB83) | v130(constB83, 0))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11099,plain,
% 27.72/18.24 ((v26(constB83) | v130(constB83, 0) | (~v127(constB83, 0))) <=> ((~v127(constB83, 0)) | v26(constB83) | v130(constB83, 0))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11100,plain,
% 27.72/18.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB83) | v130(constB83, 0) | (~v127(constB83, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB83, 0)) | v26(constB83) | v130(constB83, 0)))),
% 27.72/18.24 inference(monotonicity,[status(thm)],[11099])).
% 27.72/18.24 tff(11101,plain,
% 27.72/18.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB83) | v130(constB83, 0) | (~v127(constB83, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB83, 0)) | v26(constB83) | v130(constB83, 0))),
% 27.72/18.24 inference(transitivity,[status(thm)],[11100, 11098])).
% 27.72/18.24 tff(11102,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB83) | v130(constB83, 0) | (~v127(constB83, 0)))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11103,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB83, 0)) | v26(constB83) | v130(constB83, 0)),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11102, 11101])).
% 27.72/18.24 tff(11104,plain,
% 27.72/18.24 ((~v127(constB83, 0)) | v130(constB83, 0)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11103, 933, 10916])).
% 27.72/18.24 tff(11105,plain,
% 27.72/18.24 (~v127(constB83, 0)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11104, 11097])).
% 27.72/18.24 tff(11106,plain,
% 27.72/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB83, constB84)) | v127(constB83, 0) | (~v129(constB84, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB83, constB84)) | v127(constB83, 0) | (~v129(constB84, 0)))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11107,plain,
% 27.72/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB83, constB84)) | v127(constB83, 0) | (~v129(constB84, 0)))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11108,plain,
% 27.72/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB83, constB84)) | v127(constB83, 0) | (~v129(constB84, 0))),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11107, 11106])).
% 27.72/18.24 tff(11109,plain,
% 27.72/18.24 (v127(constB83, 0) | (~v129(constB84, 0))),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11108, 951, 10931])).
% 27.72/18.24 tff(11110,plain,
% 27.72/18.24 (~v129(constB84, 0)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11109, 11105])).
% 27.72/18.24 tff(11111,plain,
% 27.72/18.24 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB84, 0)) | v129(constB84, 0) | (~v100(constB84)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB84, 0)) | v129(constB84, 0) | (~v100(constB84)))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11112,plain,
% 27.72/18.24 (((~v90(constB84, 0)) | (~v100(constB84)) | v129(constB84, 0)) <=> ((~v90(constB84, 0)) | v129(constB84, 0) | (~v100(constB84)))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11113,plain,
% 27.72/18.24 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB84, 0)) | (~v100(constB84)) | v129(constB84, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB84, 0)) | v129(constB84, 0) | (~v100(constB84))))),
% 27.72/18.24 inference(monotonicity,[status(thm)],[11112])).
% 27.72/18.24 tff(11114,plain,
% 27.72/18.24 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB84, 0)) | (~v100(constB84)) | v129(constB84, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB84, 0)) | v129(constB84, 0) | (~v100(constB84)))),
% 27.72/18.24 inference(transitivity,[status(thm)],[11113, 11111])).
% 27.72/18.24 tff(11115,plain,
% 27.72/18.24 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB84, 0)) | (~v100(constB84)) | v129(constB84, 0))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11116,plain,
% 27.72/18.24 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB84, 0)) | v129(constB84, 0) | (~v100(constB84))),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11115, 11114])).
% 27.72/18.24 tff(11117,plain,
% 27.72/18.24 ((~v90(constB84, 0)) | (~v100(constB84))),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11116, 966, 11110])).
% 27.72/18.24 tff(11118,plain,
% 27.72/18.24 (~v90(constB84, 0)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11117, 10965])).
% 27.72/18.24 tff(11119,plain,
% 27.72/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB84, 0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB84, 0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 0)))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11120,plain,
% 27.72/18.24 (((~nextState(constB84, constB85)) | v90(constB84, 0) | v100(constB85) | (~v90(constB85, 0))) <=> (v90(constB84, 0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 0)))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11121,plain,
% 27.72/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB84, constB85)) | v90(constB84, 0) | v100(constB85) | (~v90(constB85, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB84, 0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 0))))),
% 27.72/18.24 inference(monotonicity,[status(thm)],[11120])).
% 27.72/18.24 tff(11122,plain,
% 27.72/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB84, constB85)) | v90(constB84, 0) | v100(constB85) | (~v90(constB85, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB84, 0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 0)))),
% 27.72/18.24 inference(transitivity,[status(thm)],[11121, 11119])).
% 27.72/18.24 tff(11123,plain,
% 27.72/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB84, constB85)) | v90(constB84, 0) | v100(constB85) | (~v90(constB85, 0)))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11124,plain,
% 27.72/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB84, 0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 0))),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11123, 11122])).
% 27.72/18.24 tff(11125,plain,
% 27.72/18.24 (v90(constB84, 0) | v100(constB85) | (~v90(constB85, 0))),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11124, 212, 10993])).
% 27.72/18.24 tff(11126,plain,
% 27.72/18.24 (v90(constB84, 0) | (~v90(constB85, 0))),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11125, 11005])).
% 27.72/18.24 tff(11127,plain,
% 27.72/18.24 (~v90(constB85, 0)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11126, 11118])).
% 27.72/18.24 tff(11128,plain,
% 27.72/18.24 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB85, 0) | (~v90(constB85, 1)) | (~v90(constB85, 2)) | v125(constB85))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB85, 0) | (~v90(constB85, 1)) | (~v90(constB85, 2)) | v125(constB85))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11129,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB85, 0) | (~v90(constB85, 1)) | (~v90(constB85, 2)) | v125(constB85))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11130,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB85, 0) | (~v90(constB85, 1)) | (~v90(constB85, 2)) | v125(constB85)),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11129, 11128])).
% 27.72/18.24 tff(11131,plain,
% 27.72/18.24 (v125(constB85)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11130, 2011, 11127, 11014, 11049])).
% 27.72/18.24 tff(11132,plain,
% 27.72/18.24 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB85)) | v113(constB85))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB85)) | v113(constB85))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11133,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB85)) | v113(constB85))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11134,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB85)) | v113(constB85)),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11133, 11132])).
% 27.72/18.24 tff(11135,plain,
% 27.72/18.24 (v113(constB85)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11134, 2022, 11131])).
% 27.72/18.24 tff(11136,plain,
% 27.72/18.24 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, 0))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11137,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, 0))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11138,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, 0)),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11137, 11136])).
% 27.72/18.24 tff(11139,plain,
% 27.72/18.24 (v130(constB85, 0)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11138, 2258, 11069, 11065, 11061, 11057, 11053, 11018])).
% 27.72/18.24 tff(11140,assumption,(~v26(constB85)), introduced(assumption)).
% 27.72/18.24 tff(11141,assumption,(v113(constB85)), introduced(assumption)).
% 27.72/18.24 tff(11142,plain,
% 27.72/18.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | v112(constB85) | (~v113(constB85)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11143,plain,
% 27.72/18.24 ((v26(constB85) | (~v113(constB85)) | v112(constB85)) <=> (v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11144,plain,
% 27.72/18.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | v112(constB85) | (~v113(constB85))))),
% 27.72/18.24 inference(monotonicity,[status(thm)],[11143])).
% 27.72/18.24 tff(11145,plain,
% 27.72/18.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 27.72/18.24 inference(transitivity,[status(thm)],[11144, 11142])).
% 27.72/18.24 tff(11146,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11147,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85))),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11146, 11145])).
% 27.72/18.24 tff(11148,plain,
% 27.72/18.24 (v26(constB85) | v112(constB85)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11147, 328, 11141])).
% 27.72/18.24 tff(11149,plain,
% 27.72/18.24 (v112(constB85)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11148, 11140])).
% 27.72/18.24 tff(11150,assumption,(v130(constB85, 0)), introduced(assumption)).
% 27.72/18.24 tff(11151,plain,
% 27.72/18.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB85) | (~v130(constB85, 0)) | v127(constB85, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB85) | (~v130(constB85, 0)) | v127(constB85, 0))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11152,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB85) | (~v130(constB85, 0)) | v127(constB85, 0))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11153,plain,
% 27.72/18.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB85) | (~v130(constB85, 0)) | v127(constB85, 0)),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11152, 11151])).
% 27.72/18.24 tff(11154,plain,
% 27.72/18.24 (v26(constB85) | v127(constB85, 0)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11153, 612, 11150])).
% 27.72/18.24 tff(11155,plain,
% 27.72/18.24 (v127(constB85, 0)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11154, 11140])).
% 27.72/18.24 tff(11156,plain,
% 27.72/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB85, constB86)) | (~v127(constB85, 0)) | v129(constB86, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB85, constB86)) | (~v127(constB85, 0)) | v129(constB86, 0))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11157,plain,
% 27.72/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB85, constB86)) | (~v127(constB85, 0)) | v129(constB86, 0))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11158,plain,
% 27.72/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB85, constB86)) | (~v127(constB85, 0)) | v129(constB86, 0)),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11157, 11156])).
% 27.72/18.24 tff(11159,plain,
% 27.72/18.24 ((~v127(constB85, 0)) | v129(constB86, 0)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11158, 627, 11088])).
% 27.72/18.24 tff(11160,plain,
% 27.72/18.24 (v129(constB86, 0)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11159, 11155])).
% 27.72/18.24 tff(11161,assumption,(~v90(constB86, 0)), introduced(assumption)).
% 27.72/18.24 tff(11162,plain,
% 27.72/18.24 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB86, 0) | (~v129(constB86, 0)) | (~v100(constB86)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB86, 0) | (~v129(constB86, 0)) | (~v100(constB86)))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11163,plain,
% 27.72/18.24 ((v90(constB86, 0) | (~v100(constB86)) | (~v129(constB86, 0))) <=> (v90(constB86, 0) | (~v129(constB86, 0)) | (~v100(constB86)))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11164,plain,
% 27.72/18.24 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB86, 0) | (~v100(constB86)) | (~v129(constB86, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB86, 0) | (~v129(constB86, 0)) | (~v100(constB86))))),
% 27.72/18.24 inference(monotonicity,[status(thm)],[11163])).
% 27.72/18.24 tff(11165,plain,
% 27.72/18.24 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB86, 0) | (~v100(constB86)) | (~v129(constB86, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB86, 0) | (~v129(constB86, 0)) | (~v100(constB86)))),
% 27.72/18.24 inference(transitivity,[status(thm)],[11164, 11162])).
% 27.72/18.24 tff(11166,plain,
% 27.72/18.24 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB86, 0) | (~v100(constB86)) | (~v129(constB86, 0)))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11167,plain,
% 27.72/18.24 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB86, 0) | (~v129(constB86, 0)) | (~v100(constB86))),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11166, 11165])).
% 27.72/18.24 tff(11168,plain,
% 27.72/18.24 ((~v129(constB86, 0)) | (~v100(constB86))),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11167, 642, 11161])).
% 27.72/18.24 tff(11169,plain,
% 27.72/18.24 (~v100(constB86)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11168, 11160])).
% 27.72/18.24 tff(11170,plain,
% 27.72/18.24 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11171,plain,
% 27.72/18.24 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11172,plain,
% 27.72/18.24 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86))),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11171, 11170])).
% 27.72/18.24 tff(11173,plain,
% 27.72/18.24 (~v104(constB86)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11172, 378, 11088, 10990])).
% 27.72/18.24 tff(11174,plain,
% 27.72/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11175,plain,
% 27.72/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11176,plain,
% 27.72/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB85, constB86)) | v102(constB86) | v104(constB86)),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11175, 11174])).
% 27.72/18.24 tff(11177,plain,
% 27.72/18.24 (v102(constB86) | v104(constB86)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11176, 392, 11088])).
% 27.72/18.24 tff(11178,plain,
% 27.72/18.24 (v102(constB86)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11177, 11173])).
% 27.72/18.24 tff(11179,plain,
% 27.72/18.24 (v1(constB86) <=> v1(constB86)),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11180,axiom,(v1(constB86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_86_1')).
% 27.72/18.24 tff(11181,plain,
% 27.72/18.24 (v1(constB86)),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11180, 11179])).
% 27.72/18.24 tff(11182,plain,
% 27.72/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11183,plain,
% 27.72/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))),
% 27.72/18.24 inference(quant_inst,[status(thm)],[])).
% 27.72/18.24 tff(11184,plain,
% 27.72/18.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86))),
% 27.72/18.24 inference(modus_ponens,[status(thm)],[11183, 11182])).
% 27.72/18.24 tff(11185,plain,
% 27.72/18.24 (v101(constB86) | (~v102(constB86))),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11184, 410, 11088, 11181])).
% 27.72/18.24 tff(11186,plain,
% 27.72/18.24 (v101(constB86)),
% 27.72/18.24 inference(unit_resolution,[status(thm)],[11185, 11178])).
% 27.72/18.24 tff(11187,plain,
% 27.72/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11188,plain,
% 27.72/18.24 (((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86)) <=> ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 27.72/18.24 inference(rewrite,[status(thm)],[])).
% 27.72/18.24 tff(11189,plain,
% 27.72/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86))))),
% 27.72/18.24 inference(monotonicity,[status(thm)],[11188])).
% 27.72/18.24 tff(11190,plain,
% 27.72/18.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 27.72/18.25 inference(transitivity,[status(thm)],[11189, 11187])).
% 27.72/18.25 tff(11191,plain,
% 27.72/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))),
% 27.72/18.25 inference(quant_inst,[status(thm)],[])).
% 27.72/18.25 tff(11192,plain,
% 27.72/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86))),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11191, 11190])).
% 27.72/18.25 tff(11193,plain,
% 27.72/18.25 (v100(constB86) | (~v101(constB86)) | (~v110(constB86))),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11192, 425, 11088])).
% 27.72/18.25 tff(11194,plain,
% 27.72/18.25 (v100(constB86) | (~v110(constB86))),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11193, 11186])).
% 27.72/18.25 tff(11195,plain,
% 27.72/18.25 (~v110(constB86)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11194, 11169])).
% 27.72/18.25 tff(11196,plain,
% 27.72/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11197,plain,
% 27.72/18.25 (((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86)) <=> ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11198,plain,
% 27.72/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85))))),
% 27.72/18.25 inference(monotonicity,[status(thm)],[11197])).
% 27.72/18.25 tff(11199,plain,
% 27.72/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 27.72/18.25 inference(transitivity,[status(thm)],[11198, 11196])).
% 27.72/18.25 tff(11200,plain,
% 27.72/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))),
% 27.72/18.25 inference(quant_inst,[status(thm)],[])).
% 27.72/18.25 tff(11201,plain,
% 27.72/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85))),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11200, 11199])).
% 27.72/18.25 tff(11202,plain,
% 27.72/18.25 (v110(constB86) | (~v108(constB85))),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11201, 360, 11088])).
% 27.72/18.25 tff(11203,plain,
% 27.72/18.25 (~v108(constB85)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11202, 11195])).
% 27.72/18.25 tff(11204,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB85) | (~v112(constB85)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB85) | (~v112(constB85)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11205,plain,
% 27.72/18.25 (((~v112(constB85)) | v108(constB85)) <=> (v108(constB85) | (~v112(constB85)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11206,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB85)) | v108(constB85))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB85) | (~v112(constB85))))),
% 27.72/18.25 inference(monotonicity,[status(thm)],[11205])).
% 27.72/18.25 tff(11207,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB85)) | v108(constB85))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB85) | (~v112(constB85)))),
% 27.72/18.25 inference(transitivity,[status(thm)],[11206, 11204])).
% 27.72/18.25 tff(11208,plain,
% 27.72/18.25 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB85)) | v108(constB85))),
% 27.72/18.25 inference(quant_inst,[status(thm)],[])).
% 27.72/18.25 tff(11209,plain,
% 27.72/18.25 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB85) | (~v112(constB85))),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11208, 11207])).
% 27.72/18.25 tff(11210,plain,
% 27.72/18.25 ($false),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11209, 340, 11203, 11149])).
% 27.72/18.25 tff(11211,plain,(v26(constB85) | v90(constB86, 0) | (~v113(constB85)) | (~v130(constB85, 0))), inference(lemma,lemma(discharge,[]))).
% 27.72/18.25 tff(11212,plain,
% 27.72/18.25 (v90(constB86, 0) | (~v113(constB85)) | (~v130(constB85, 0))),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11211, 11077])).
% 27.72/18.25 tff(11213,plain,
% 27.72/18.25 (v90(constB86, 0)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11212, 11139, 11135])).
% 27.72/18.25 tff(11214,plain,
% 27.72/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB85, 0) | (~nextState(constB85, constB86)) | v100(constB86) | (~v90(constB86, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB85, 0) | (~nextState(constB85, constB86)) | v100(constB86) | (~v90(constB86, 0)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11215,plain,
% 27.72/18.25 (((~nextState(constB85, constB86)) | v90(constB85, 0) | v100(constB86) | (~v90(constB86, 0))) <=> (v90(constB85, 0) | (~nextState(constB85, constB86)) | v100(constB86) | (~v90(constB86, 0)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11216,plain,
% 27.72/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB85, constB86)) | v90(constB85, 0) | v100(constB86) | (~v90(constB86, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB85, 0) | (~nextState(constB85, constB86)) | v100(constB86) | (~v90(constB86, 0))))),
% 27.72/18.25 inference(monotonicity,[status(thm)],[11215])).
% 27.72/18.25 tff(11217,plain,
% 27.72/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB85, constB86)) | v90(constB85, 0) | v100(constB86) | (~v90(constB86, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB85, 0) | (~nextState(constB85, constB86)) | v100(constB86) | (~v90(constB86, 0)))),
% 27.72/18.25 inference(transitivity,[status(thm)],[11216, 11214])).
% 27.72/18.25 tff(11218,plain,
% 27.72/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB85, constB86)) | v90(constB85, 0) | v100(constB86) | (~v90(constB86, 0)))),
% 27.72/18.25 inference(quant_inst,[status(thm)],[])).
% 27.72/18.25 tff(11219,plain,
% 27.72/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB85, 0) | (~nextState(constB85, constB86)) | v100(constB86) | (~v90(constB86, 0))),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11218, 11217])).
% 27.72/18.25 tff(11220,plain,
% 27.72/18.25 (v90(constB85, 0) | v100(constB86) | (~v90(constB86, 0))),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11219, 212, 11088])).
% 27.72/18.25 tff(11221,plain,
% 27.72/18.25 (v100(constB86)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11220, 11213, 11127])).
% 27.72/18.25 tff(11222,plain,
% 27.72/18.25 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB86, 1)) | v129(constB86, 1) | (~v100(constB86)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB86, 1)) | v129(constB86, 1) | (~v100(constB86)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11223,plain,
% 27.72/18.25 (((~v90(constB86, 1)) | (~v100(constB86)) | v129(constB86, 1)) <=> ((~v90(constB86, 1)) | v129(constB86, 1) | (~v100(constB86)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11224,plain,
% 27.72/18.25 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB86, 1)) | (~v100(constB86)) | v129(constB86, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB86, 1)) | v129(constB86, 1) | (~v100(constB86))))),
% 27.72/18.25 inference(monotonicity,[status(thm)],[11223])).
% 27.72/18.25 tff(11225,plain,
% 27.72/18.25 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB86, 1)) | (~v100(constB86)) | v129(constB86, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB86, 1)) | v129(constB86, 1) | (~v100(constB86)))),
% 27.72/18.25 inference(transitivity,[status(thm)],[11224, 11222])).
% 27.72/18.25 tff(11226,plain,
% 27.72/18.25 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB86, 1)) | (~v100(constB86)) | v129(constB86, 1))),
% 27.72/18.25 inference(quant_inst,[status(thm)],[])).
% 27.72/18.25 tff(11227,plain,
% 27.72/18.25 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB86, 1)) | v129(constB86, 1) | (~v100(constB86))),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11226, 11225])).
% 27.72/18.25 tff(11228,plain,
% 27.72/18.25 (~v90(constB86, 1)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11227, 574, 11221, 11093])).
% 27.72/18.25 tff(11229,plain,
% 27.72/18.25 ((~v1(constB87)) <=> (~v1(constB87))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11230,axiom,(~v1(constB87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_87_1_1')).
% 27.72/18.25 tff(11231,plain,
% 27.72/18.25 (~v1(constB87)),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11230, 11229])).
% 27.72/18.25 tff(11232,plain,
% 27.72/18.25 (nextState(constB86, constB87) <=> nextState(constB86, constB87)),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11233,axiom,(nextState(constB86, constB87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_86_1')).
% 27.72/18.25 tff(11234,plain,
% 27.72/18.25 (nextState(constB86, constB87)),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11233, 11232])).
% 27.72/18.25 tff(11235,plain,
% 27.72/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11236,plain,
% 27.72/18.25 (((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87)) <=> (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11237,plain,
% 27.72/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87))))),
% 27.72/18.25 inference(monotonicity,[status(thm)],[11236])).
% 27.72/18.25 tff(11238,plain,
% 27.72/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 27.72/18.25 inference(transitivity,[status(thm)],[11237, 11235])).
% 27.72/18.25 tff(11239,plain,
% 27.72/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))),
% 27.72/18.25 inference(quant_inst,[status(thm)],[])).
% 27.72/18.25 tff(11240,plain,
% 27.72/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87))),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11239, 11238])).
% 27.72/18.25 tff(11241,plain,
% 27.72/18.25 (~v101(constB87)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11240, 138, 11234, 11231])).
% 27.72/18.25 tff(11242,plain,
% 27.72/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11243,plain,
% 27.72/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))),
% 27.72/18.25 inference(quant_inst,[status(thm)],[])).
% 27.72/18.25 tff(11244,plain,
% 27.72/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87))),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11243, 11242])).
% 27.72/18.25 tff(11245,plain,
% 27.72/18.25 (v101(constB87) | (~v100(constB87))),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11244, 155, 11234])).
% 27.72/18.25 tff(11246,plain,
% 27.72/18.25 (~v100(constB87)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11245, 11241])).
% 27.72/18.25 tff(11247,plain,
% 27.72/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB86, 1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB86, 1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 1)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11248,plain,
% 27.72/18.25 (((~nextState(constB86, constB87)) | v90(constB86, 1) | v100(constB87) | (~v90(constB87, 1))) <=> (v90(constB86, 1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 1)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11249,plain,
% 27.72/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB86, constB87)) | v90(constB86, 1) | v100(constB87) | (~v90(constB87, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB86, 1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 1))))),
% 27.72/18.25 inference(monotonicity,[status(thm)],[11248])).
% 27.72/18.25 tff(11250,plain,
% 27.72/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB86, constB87)) | v90(constB86, 1) | v100(constB87) | (~v90(constB87, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB86, 1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 1)))),
% 27.72/18.25 inference(transitivity,[status(thm)],[11249, 11247])).
% 27.72/18.25 tff(11251,plain,
% 27.72/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB86, constB87)) | v90(constB86, 1) | v100(constB87) | (~v90(constB87, 1)))),
% 27.72/18.25 inference(quant_inst,[status(thm)],[])).
% 27.72/18.25 tff(11252,plain,
% 27.72/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB86, 1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 1))),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11251, 11250])).
% 27.72/18.25 tff(11253,plain,
% 27.72/18.25 (v90(constB86, 1) | v100(constB87) | (~v90(constB87, 1))),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11252, 191, 11234])).
% 27.72/18.25 tff(11254,plain,
% 27.72/18.25 (v90(constB86, 1) | (~v90(constB87, 1))),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11253, 11246])).
% 27.72/18.25 tff(11255,plain,
% 27.72/18.25 (~v90(constB87, 1)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11254, 11228])).
% 27.72/18.25 tff(11256,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 2)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11257,plain,
% 27.72/18.25 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 2)))),
% 27.72/18.25 inference(quant_inst,[status(thm)],[])).
% 27.72/18.25 tff(11258,plain,
% 27.72/18.25 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 2))),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11257, 11256])).
% 27.72/18.25 tff(11259,plain,
% 27.72/18.25 (~v130(constB85, 2)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11258, 2155, 11069, 11065, 11061, 11057, 11053, 11018])).
% 27.72/18.25 tff(11260,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB85, 2)) | v26(constB85) | v130(constB85, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB85, 2)) | v26(constB85) | v130(constB85, 2))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11261,plain,
% 27.72/18.25 ((v26(constB85) | v130(constB85, 2) | (~v127(constB85, 2))) <=> ((~v127(constB85, 2)) | v26(constB85) | v130(constB85, 2))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11262,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB85) | v130(constB85, 2) | (~v127(constB85, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB85, 2)) | v26(constB85) | v130(constB85, 2)))),
% 27.72/18.25 inference(monotonicity,[status(thm)],[11261])).
% 27.72/18.25 tff(11263,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB85) | v130(constB85, 2) | (~v127(constB85, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB85, 2)) | v26(constB85) | v130(constB85, 2))),
% 27.72/18.25 inference(transitivity,[status(thm)],[11262, 11260])).
% 27.72/18.25 tff(11264,plain,
% 27.72/18.25 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB85) | v130(constB85, 2) | (~v127(constB85, 2)))),
% 27.72/18.25 inference(quant_inst,[status(thm)],[])).
% 27.72/18.25 tff(11265,plain,
% 27.72/18.25 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB85, 2)) | v26(constB85) | v130(constB85, 2)),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11264, 11263])).
% 27.72/18.25 tff(11266,plain,
% 27.72/18.25 ((~v127(constB85, 2)) | v130(constB85, 2)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11265, 455, 11077])).
% 27.72/18.25 tff(11267,plain,
% 27.72/18.25 (~v127(constB85, 2)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11266, 11259])).
% 27.72/18.25 tff(11268,plain,
% 27.72/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB85, constB86)) | v127(constB85, 2) | (~v129(constB86, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB85, constB86)) | v127(constB85, 2) | (~v129(constB86, 2)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11269,plain,
% 27.72/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB85, constB86)) | v127(constB85, 2) | (~v129(constB86, 2)))),
% 27.72/18.25 inference(quant_inst,[status(thm)],[])).
% 27.72/18.25 tff(11270,plain,
% 27.72/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB85, constB86)) | v127(constB85, 2) | (~v129(constB86, 2))),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11269, 11268])).
% 27.72/18.25 tff(11271,plain,
% 27.72/18.25 (v127(constB85, 2) | (~v129(constB86, 2))),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11270, 473, 11088])).
% 27.72/18.25 tff(11272,plain,
% 27.72/18.25 (~v129(constB86, 2)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11271, 11267])).
% 27.72/18.25 tff(11273,plain,
% 27.72/18.25 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB86, 2)) | v129(constB86, 2) | (~v100(constB86)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB86, 2)) | v129(constB86, 2) | (~v100(constB86)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11274,plain,
% 27.72/18.25 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB86, 2)) | v129(constB86, 2) | (~v100(constB86)))),
% 27.72/18.25 inference(quant_inst,[status(thm)],[])).
% 27.72/18.25 tff(11275,plain,
% 27.72/18.25 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB86, 2)) | v129(constB86, 2) | (~v100(constB86))),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11274, 11273])).
% 27.72/18.25 tff(11276,plain,
% 27.72/18.25 (~v90(constB86, 2)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11275, 488, 11221, 11272])).
% 27.72/18.25 tff(11277,plain,
% 27.72/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB86, 2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB86, 2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 2)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11278,plain,
% 27.72/18.25 (((~nextState(constB86, constB87)) | v90(constB86, 2) | v100(constB87) | (~v90(constB87, 2))) <=> (v90(constB86, 2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 2)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11279,plain,
% 27.72/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB86, constB87)) | v90(constB86, 2) | v100(constB87) | (~v90(constB87, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB86, 2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 2))))),
% 27.72/18.25 inference(monotonicity,[status(thm)],[11278])).
% 27.72/18.25 tff(11280,plain,
% 27.72/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB86, constB87)) | v90(constB86, 2) | v100(constB87) | (~v90(constB87, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB86, 2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 2)))),
% 27.72/18.25 inference(transitivity,[status(thm)],[11279, 11277])).
% 27.72/18.25 tff(11281,plain,
% 27.72/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB86, constB87)) | v90(constB86, 2) | v100(constB87) | (~v90(constB87, 2)))),
% 27.72/18.25 inference(quant_inst,[status(thm)],[])).
% 27.72/18.25 tff(11282,plain,
% 27.72/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB86, 2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 2))),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11281, 11280])).
% 27.72/18.25 tff(11283,plain,
% 27.72/18.25 (v90(constB86, 2) | v100(constB87) | (~v90(constB87, 2))),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11282, 170, 11234])).
% 27.72/18.25 tff(11284,plain,
% 27.72/18.25 (v90(constB86, 2) | (~v90(constB87, 2))),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11283, 11246])).
% 27.72/18.25 tff(11285,plain,
% 27.72/18.25 (~v90(constB87, 2)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11284, 11276])).
% 27.72/18.25 tff(11286,plain,
% 27.72/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB86, 0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB86, 0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 0))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11287,plain,
% 27.72/18.25 (((~nextState(constB86, constB87)) | (~v90(constB86, 0)) | v100(constB87) | v90(constB87, 0)) <=> ((~v90(constB86, 0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 0))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11288,plain,
% 27.72/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, 0)) | v100(constB87) | v90(constB87, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB86, 0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 0)))),
% 27.72/18.25 inference(monotonicity,[status(thm)],[11287])).
% 27.72/18.25 tff(11289,plain,
% 27.72/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, 0)) | v100(constB87) | v90(constB87, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB86, 0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 0))),
% 27.72/18.25 inference(transitivity,[status(thm)],[11288, 11286])).
% 27.72/18.25 tff(11290,plain,
% 27.72/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, 0)) | v100(constB87) | v90(constB87, 0))),
% 27.72/18.25 inference(quant_inst,[status(thm)],[])).
% 27.72/18.25 tff(11291,plain,
% 27.72/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB86, 0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 0)),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11290, 11289])).
% 27.72/18.25 tff(11292,plain,
% 27.72/18.25 ((~v90(constB86, 0)) | v100(constB87) | v90(constB87, 0)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11291, 660, 11234])).
% 27.72/18.25 tff(11293,plain,
% 27.72/18.25 ((~v90(constB86, 0)) | v90(constB87, 0)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11292, 11246])).
% 27.72/18.25 tff(11294,plain,
% 27.72/18.25 (v90(constB87, 0)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11293, 11213])).
% 27.72/18.25 tff(11295,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB87, 0)) | v90(constB87, 1) | v90(constB87, 2) | v120(constB87))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB87, 0)) | v90(constB87, 1) | v90(constB87, 2) | v120(constB87))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11296,plain,
% 27.72/18.25 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB87, 0)) | v90(constB87, 1) | v90(constB87, 2) | v120(constB87))),
% 27.72/18.25 inference(quant_inst,[status(thm)],[])).
% 27.72/18.25 tff(11297,plain,
% 27.72/18.25 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB87, 0)) | v90(constB87, 1) | v90(constB87, 2) | v120(constB87)),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11296, 11295])).
% 27.72/18.25 tff(11298,plain,
% 27.72/18.25 (v90(constB87, 1) | v90(constB87, 2) | v120(constB87)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11297, 679, 11294])).
% 27.72/18.25 tff(11299,plain,
% 27.72/18.25 (v120(constB87)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11298, 11285, 11255])).
% 27.72/18.25 tff(11300,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB87) | (~v120(constB87)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB87) | (~v120(constB87)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11301,plain,
% 27.72/18.25 (((~v120(constB87)) | v118(constB87)) <=> (v118(constB87) | (~v120(constB87)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11302,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB87)) | v118(constB87))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB87) | (~v120(constB87))))),
% 27.72/18.25 inference(monotonicity,[status(thm)],[11301])).
% 27.72/18.25 tff(11303,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB87)) | v118(constB87))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB87) | (~v120(constB87)))),
% 27.72/18.25 inference(transitivity,[status(thm)],[11302, 11300])).
% 27.72/18.25 tff(11304,plain,
% 27.72/18.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB87)) | v118(constB87))),
% 27.72/18.25 inference(quant_inst,[status(thm)],[])).
% 27.72/18.25 tff(11305,plain,
% 27.72/18.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB87) | (~v120(constB87))),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11304, 11303])).
% 27.72/18.25 tff(11306,plain,
% 27.72/18.25 (v118(constB87)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11305, 690, 11299])).
% 27.72/18.25 tff(11307,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB87) | (~v118(constB87)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB87) | (~v118(constB87)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11308,plain,
% 27.72/18.25 (((~v118(constB87)) | v117(constB87)) <=> (v117(constB87) | (~v118(constB87)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11309,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB87)) | v117(constB87))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB87) | (~v118(constB87))))),
% 27.72/18.25 inference(monotonicity,[status(thm)],[11308])).
% 27.72/18.25 tff(11310,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB87)) | v117(constB87))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB87) | (~v118(constB87)))),
% 27.72/18.25 inference(transitivity,[status(thm)],[11309, 11307])).
% 27.72/18.25 tff(11311,plain,
% 27.72/18.25 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB87)) | v117(constB87))),
% 27.72/18.25 inference(quant_inst,[status(thm)],[])).
% 27.72/18.25 tff(11312,plain,
% 27.72/18.25 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB87) | (~v118(constB87))),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11311, 11310])).
% 27.72/18.25 tff(11313,plain,
% 27.72/18.25 (v117(constB87)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11312, 258, 11306])).
% 27.72/18.25 tff(11314,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB87) | (~v117(constB87)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB87) | (~v117(constB87)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11315,plain,
% 27.72/18.25 (((~v117(constB87)) | v116(constB87)) <=> (v116(constB87) | (~v117(constB87)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11316,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB87)) | v116(constB87))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB87) | (~v117(constB87))))),
% 27.72/18.25 inference(monotonicity,[status(thm)],[11315])).
% 27.72/18.25 tff(11317,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB87)) | v116(constB87))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB87) | (~v117(constB87)))),
% 27.72/18.25 inference(transitivity,[status(thm)],[11316, 11314])).
% 27.72/18.25 tff(11318,plain,
% 27.72/18.25 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB87)) | v116(constB87))),
% 27.72/18.25 inference(quant_inst,[status(thm)],[])).
% 27.72/18.25 tff(11319,plain,
% 27.72/18.25 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB87) | (~v117(constB87))),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11318, 11317])).
% 27.72/18.25 tff(11320,plain,
% 27.72/18.25 (v116(constB87)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11319, 272, 11313])).
% 27.72/18.25 tff(11321,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB87)) | v115(constB87))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB87)) | v115(constB87))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11322,plain,
% 27.72/18.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB87)) | v115(constB87))),
% 27.72/18.25 inference(quant_inst,[status(thm)],[])).
% 27.72/18.25 tff(11323,plain,
% 27.72/18.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB87)) | v115(constB87)),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11322, 11321])).
% 27.72/18.25 tff(11324,plain,
% 27.72/18.25 (v115(constB87)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11323, 286, 11320])).
% 27.72/18.25 tff(11325,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB87) | (~v115(constB87)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB87) | (~v115(constB87)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11326,plain,
% 27.72/18.25 (((~v115(constB87)) | v114(constB87)) <=> (v114(constB87) | (~v115(constB87)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11327,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB87)) | v114(constB87))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB87) | (~v115(constB87))))),
% 27.72/18.25 inference(monotonicity,[status(thm)],[11326])).
% 27.72/18.25 tff(11328,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB87)) | v114(constB87))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB87) | (~v115(constB87)))),
% 27.72/18.25 inference(transitivity,[status(thm)],[11327, 11325])).
% 27.72/18.25 tff(11329,plain,
% 27.72/18.25 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB87)) | v114(constB87))),
% 27.72/18.25 inference(quant_inst,[status(thm)],[])).
% 27.72/18.25 tff(11330,plain,
% 27.72/18.25 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB87) | (~v115(constB87))),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11329, 11328])).
% 27.72/18.25 tff(11331,plain,
% 27.72/18.25 (v114(constB87)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11330, 300, 11324])).
% 27.72/18.25 tff(11332,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB87) | (~v114(constB87)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB87) | (~v114(constB87)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11333,plain,
% 27.72/18.25 (((~v114(constB87)) | v113(constB87)) <=> (v113(constB87) | (~v114(constB87)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11334,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB87)) | v113(constB87))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB87) | (~v114(constB87))))),
% 27.72/18.25 inference(monotonicity,[status(thm)],[11333])).
% 27.72/18.25 tff(11335,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB87)) | v113(constB87))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB87) | (~v114(constB87)))),
% 27.72/18.25 inference(transitivity,[status(thm)],[11334, 11332])).
% 27.72/18.25 tff(11336,plain,
% 27.72/18.25 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB87)) | v113(constB87))),
% 27.72/18.25 inference(quant_inst,[status(thm)],[])).
% 27.72/18.25 tff(11337,plain,
% 27.72/18.25 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB87) | (~v114(constB87))),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11336, 11335])).
% 27.72/18.25 tff(11338,plain,
% 27.72/18.25 (v113(constB87)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11337, 314, 11331])).
% 27.72/18.25 tff(11339,assumption,(v26(constB87)), introduced(assumption)).
% 27.72/18.25 tff(11340,plain,
% 27.72/18.25 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB87))),
% 27.72/18.25 inference(quant_inst,[status(thm)],[])).
% 27.72/18.25 tff(11341,plain,
% 27.72/18.25 ($false),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11340, 95, 11339])).
% 27.72/18.25 tff(11342,plain,(~v26(constB87)), inference(lemma,lemma(discharge,[]))).
% 27.72/18.25 tff(11343,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | (~v113(constB87)) | v112(constB87))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11344,plain,
% 27.72/18.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))),
% 27.72/18.25 inference(quant_inst,[status(thm)],[])).
% 27.72/18.25 tff(11345,plain,
% 27.72/18.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | (~v113(constB87)) | v112(constB87)),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11344, 11343])).
% 27.72/18.25 tff(11346,plain,
% 27.72/18.25 ((~v113(constB87)) | v112(constB87)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11345, 328, 11342])).
% 27.72/18.25 tff(11347,plain,
% 27.72/18.25 (v112(constB87)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11346, 11338])).
% 27.72/18.25 tff(11348,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB87) | (~v112(constB87)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v112(constB87)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11349,plain,
% 27.72/18.25 (((~v112(constB87)) | v108(constB87)) <=> (v108(constB87) | (~v112(constB87)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11350,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB87)) | v108(constB87))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB87) | (~v112(constB87))))),
% 27.72/18.25 inference(monotonicity,[status(thm)],[11349])).
% 27.72/18.25 tff(11351,plain,
% 27.72/18.25 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB87)) | v108(constB87))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v112(constB87)))),
% 27.72/18.25 inference(transitivity,[status(thm)],[11350, 11348])).
% 27.72/18.25 tff(11352,plain,
% 27.72/18.25 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB87)) | v108(constB87))),
% 27.72/18.25 inference(quant_inst,[status(thm)],[])).
% 27.72/18.25 tff(11353,plain,
% 27.72/18.25 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v112(constB87))),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11352, 11351])).
% 27.72/18.25 tff(11354,plain,
% 27.72/18.25 (v108(constB87)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11353, 340, 11347])).
% 27.72/18.25 tff(11355,plain,
% 27.72/18.25 (nextState(constB87, constB88) <=> nextState(constB87, constB88)),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11356,axiom,(nextState(constB87, constB88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_87_1')).
% 27.72/18.25 tff(11357,plain,
% 27.72/18.25 (nextState(constB87, constB88)),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11356, 11355])).
% 27.72/18.25 tff(11358,plain,
% 27.72/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11359,plain,
% 27.72/18.25 (((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88)) <=> ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11360,plain,
% 27.72/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87))))),
% 27.72/18.25 inference(monotonicity,[status(thm)],[11359])).
% 27.72/18.25 tff(11361,plain,
% 27.72/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 27.72/18.25 inference(transitivity,[status(thm)],[11360, 11358])).
% 27.72/18.25 tff(11362,plain,
% 27.72/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))),
% 27.72/18.25 inference(quant_inst,[status(thm)],[])).
% 27.72/18.25 tff(11363,plain,
% 27.72/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87))),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11362, 11361])).
% 27.72/18.25 tff(11364,plain,
% 27.72/18.25 (v110(constB88) | (~v108(constB87))),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11363, 360, 11357])).
% 27.72/18.25 tff(11365,plain,
% 27.72/18.25 (v110(constB88)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11364, 11354])).
% 27.72/18.25 tff(11366,plain,
% 27.72/18.25 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11367,plain,
% 27.72/18.25 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))),
% 27.72/18.25 inference(quant_inst,[status(thm)],[])).
% 27.72/18.25 tff(11368,plain,
% 27.72/18.25 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88))),
% 27.72/18.25 inference(modus_ponens,[status(thm)],[11367, 11366])).
% 27.72/18.25 tff(11369,plain,
% 27.72/18.25 (~v104(constB88)),
% 27.72/18.25 inference(unit_resolution,[status(thm)],[11368, 378, 11357, 11231])).
% 27.72/18.25 tff(11370,plain,
% 27.72/18.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))),
% 27.72/18.25 inference(rewrite,[status(thm)],[])).
% 27.72/18.25 tff(11371,plain,
% 27.72/18.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))),
% 27.72/18.25 inference(quant_inst,[status(thm)],[])).
% 27.72/18.26 tff(11372,plain,
% 27.72/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB87, constB88)) | v102(constB88) | v104(constB88)),
% 27.72/18.26 inference(modus_ponens,[status(thm)],[11371, 11370])).
% 27.72/18.26 tff(11373,plain,
% 27.72/18.26 (v102(constB88) | v104(constB88)),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11372, 392, 11357])).
% 27.72/18.26 tff(11374,plain,
% 27.72/18.26 (v102(constB88)),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11373, 11369])).
% 27.72/18.26 tff(11375,plain,
% 27.72/18.26 (v1(constB88) <=> v1(constB88)),
% 27.72/18.26 inference(rewrite,[status(thm)],[])).
% 27.72/18.26 tff(11376,axiom,(v1(constB88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_88_1')).
% 27.72/18.26 tff(11377,plain,
% 27.72/18.26 (v1(constB88)),
% 27.72/18.26 inference(modus_ponens,[status(thm)],[11376, 11375])).
% 27.72/18.26 tff(11378,plain,
% 27.72/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))),
% 27.72/18.26 inference(rewrite,[status(thm)],[])).
% 27.72/18.26 tff(11379,plain,
% 27.72/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))),
% 27.72/18.26 inference(quant_inst,[status(thm)],[])).
% 27.72/18.26 tff(11380,plain,
% 27.72/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88))),
% 27.72/18.26 inference(modus_ponens,[status(thm)],[11379, 11378])).
% 27.72/18.26 tff(11381,plain,
% 27.72/18.26 (v101(constB88) | (~v102(constB88))),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11380, 410, 11357, 11377])).
% 27.72/18.26 tff(11382,plain,
% 27.72/18.26 (v101(constB88)),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11381, 11374])).
% 27.72/18.26 tff(11383,plain,
% 27.72/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 27.72/18.26 inference(rewrite,[status(thm)],[])).
% 27.72/18.26 tff(11384,plain,
% 27.72/18.26 (((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88)) <=> ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 27.72/18.26 inference(rewrite,[status(thm)],[])).
% 27.72/18.26 tff(11385,plain,
% 27.72/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88))))),
% 27.72/18.26 inference(monotonicity,[status(thm)],[11384])).
% 27.72/18.26 tff(11386,plain,
% 27.72/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 27.72/18.26 inference(transitivity,[status(thm)],[11385, 11383])).
% 27.72/18.26 tff(11387,plain,
% 27.72/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))),
% 27.72/18.26 inference(quant_inst,[status(thm)],[])).
% 27.72/18.26 tff(11388,plain,
% 27.72/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88))),
% 27.72/18.26 inference(modus_ponens,[status(thm)],[11387, 11386])).
% 27.72/18.26 tff(11389,plain,
% 27.72/18.26 (v100(constB88) | (~v101(constB88)) | (~v110(constB88))),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11388, 425, 11357])).
% 27.72/18.26 tff(11390,plain,
% 27.72/18.26 (v100(constB88) | (~v110(constB88))),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11389, 11382])).
% 27.72/18.26 tff(11391,plain,
% 27.72/18.26 (v100(constB88)),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11390, 11365])).
% 27.72/18.26 tff(11392,plain,
% 27.72/18.26 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB87)) | (~v130(constB87, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB87)) | (~v130(constB87, 2)))),
% 27.72/18.26 inference(rewrite,[status(thm)],[])).
% 27.72/18.26 tff(11393,plain,
% 27.72/18.26 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB87)) | (~v130(constB87, 2)))),
% 27.72/18.26 inference(quant_inst,[status(thm)],[])).
% 27.72/18.26 tff(11394,plain,
% 27.72/18.26 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB87)) | (~v130(constB87, 2))),
% 27.72/18.26 inference(modus_ponens,[status(thm)],[11393, 11392])).
% 27.72/18.26 tff(11395,plain,
% 27.72/18.26 (~v130(constB87, 2)),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11394, 785, 11299])).
% 27.72/18.26 tff(11396,plain,
% 27.72/18.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB87, 2)) | v26(constB87) | v130(constB87, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB87, 2)) | v26(constB87) | v130(constB87, 2))),
% 27.72/18.26 inference(rewrite,[status(thm)],[])).
% 27.72/18.26 tff(11397,plain,
% 27.72/18.26 ((v26(constB87) | v130(constB87, 2) | (~v127(constB87, 2))) <=> ((~v127(constB87, 2)) | v26(constB87) | v130(constB87, 2))),
% 27.72/18.26 inference(rewrite,[status(thm)],[])).
% 27.72/18.26 tff(11398,plain,
% 27.72/18.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB87) | v130(constB87, 2) | (~v127(constB87, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB87, 2)) | v26(constB87) | v130(constB87, 2)))),
% 27.72/18.26 inference(monotonicity,[status(thm)],[11397])).
% 27.72/18.26 tff(11399,plain,
% 27.72/18.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB87) | v130(constB87, 2) | (~v127(constB87, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB87, 2)) | v26(constB87) | v130(constB87, 2))),
% 27.72/18.26 inference(transitivity,[status(thm)],[11398, 11396])).
% 27.72/18.26 tff(11400,plain,
% 27.72/18.26 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB87) | v130(constB87, 2) | (~v127(constB87, 2)))),
% 27.72/18.26 inference(quant_inst,[status(thm)],[])).
% 27.72/18.26 tff(11401,plain,
% 27.72/18.26 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB87, 2)) | v26(constB87) | v130(constB87, 2)),
% 27.72/18.26 inference(modus_ponens,[status(thm)],[11400, 11399])).
% 27.72/18.26 tff(11402,plain,
% 27.72/18.26 ((~v127(constB87, 2)) | v130(constB87, 2)),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11401, 455, 11342])).
% 27.72/18.26 tff(11403,plain,
% 27.72/18.26 (~v127(constB87, 2)),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11402, 11395])).
% 27.72/18.26 tff(11404,plain,
% 27.72/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB87, constB88)) | v127(constB87, 2) | (~v129(constB88, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB87, constB88)) | v127(constB87, 2) | (~v129(constB88, 2)))),
% 27.72/18.26 inference(rewrite,[status(thm)],[])).
% 27.72/18.26 tff(11405,plain,
% 27.72/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB87, constB88)) | v127(constB87, 2) | (~v129(constB88, 2)))),
% 27.72/18.26 inference(quant_inst,[status(thm)],[])).
% 27.72/18.26 tff(11406,plain,
% 27.72/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB87, constB88)) | v127(constB87, 2) | (~v129(constB88, 2))),
% 27.72/18.26 inference(modus_ponens,[status(thm)],[11405, 11404])).
% 27.72/18.26 tff(11407,plain,
% 27.72/18.26 (v127(constB87, 2) | (~v129(constB88, 2))),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11406, 473, 11357])).
% 27.72/18.26 tff(11408,plain,
% 27.72/18.26 (~v129(constB88, 2)),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11407, 11403])).
% 27.72/18.26 tff(11409,plain,
% 27.72/18.26 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB88, 2)) | v129(constB88, 2) | (~v100(constB88)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB88, 2)) | v129(constB88, 2) | (~v100(constB88)))),
% 27.72/18.26 inference(rewrite,[status(thm)],[])).
% 27.72/18.26 tff(11410,plain,
% 27.72/18.26 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB88, 2)) | v129(constB88, 2) | (~v100(constB88)))),
% 27.72/18.26 inference(quant_inst,[status(thm)],[])).
% 27.72/18.26 tff(11411,plain,
% 27.72/18.26 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB88, 2)) | v129(constB88, 2) | (~v100(constB88))),
% 27.72/18.26 inference(modus_ponens,[status(thm)],[11410, 11409])).
% 27.72/18.26 tff(11412,plain,
% 27.72/18.26 ((~v90(constB88, 2)) | (~v100(constB88))),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11411, 488, 11408])).
% 27.72/18.26 tff(11413,plain,
% 27.72/18.26 (~v90(constB88, 2)),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11412, 11391])).
% 27.72/18.26 tff(11414,plain,
% 27.72/18.26 ((~v1(constB89)) <=> (~v1(constB89))),
% 27.72/18.26 inference(rewrite,[status(thm)],[])).
% 27.72/18.26 tff(11415,axiom,(~v1(constB89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_89_1_1')).
% 27.72/18.26 tff(11416,plain,
% 27.72/18.26 (~v1(constB89)),
% 27.72/18.26 inference(modus_ponens,[status(thm)],[11415, 11414])).
% 27.72/18.26 tff(11417,plain,
% 27.72/18.26 (nextState(constB88, constB89) <=> nextState(constB88, constB89)),
% 27.72/18.26 inference(rewrite,[status(thm)],[])).
% 27.72/18.26 tff(11418,axiom,(nextState(constB88, constB89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_88_1')).
% 27.72/18.26 tff(11419,plain,
% 27.72/18.26 (nextState(constB88, constB89)),
% 27.72/18.26 inference(modus_ponens,[status(thm)],[11418, 11417])).
% 27.72/18.26 tff(11420,plain,
% 27.72/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 27.72/18.26 inference(rewrite,[status(thm)],[])).
% 27.72/18.26 tff(11421,plain,
% 27.72/18.26 (((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89)) <=> (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 27.72/18.26 inference(rewrite,[status(thm)],[])).
% 27.72/18.26 tff(11422,plain,
% 27.72/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89))))),
% 27.72/18.26 inference(monotonicity,[status(thm)],[11421])).
% 27.72/18.26 tff(11423,plain,
% 27.72/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 27.72/18.26 inference(transitivity,[status(thm)],[11422, 11420])).
% 27.72/18.26 tff(11424,plain,
% 27.72/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))),
% 27.72/18.26 inference(quant_inst,[status(thm)],[])).
% 27.72/18.26 tff(11425,plain,
% 27.72/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89))),
% 27.72/18.26 inference(modus_ponens,[status(thm)],[11424, 11423])).
% 27.72/18.26 tff(11426,plain,
% 27.72/18.26 (~v101(constB89)),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11425, 138, 11419, 11416])).
% 27.72/18.26 tff(11427,plain,
% 27.72/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))),
% 27.72/18.26 inference(rewrite,[status(thm)],[])).
% 27.72/18.26 tff(11428,plain,
% 27.72/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))),
% 27.72/18.26 inference(quant_inst,[status(thm)],[])).
% 27.72/18.26 tff(11429,plain,
% 27.72/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89))),
% 27.72/18.26 inference(modus_ponens,[status(thm)],[11428, 11427])).
% 27.72/18.26 tff(11430,plain,
% 27.72/18.26 (v101(constB89) | (~v100(constB89))),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11429, 155, 11419])).
% 27.72/18.26 tff(11431,plain,
% 27.72/18.26 (~v100(constB89)),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11430, 11426])).
% 27.72/18.26 tff(11432,plain,
% 27.72/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB88, 2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB88, 2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 2)))),
% 27.72/18.26 inference(rewrite,[status(thm)],[])).
% 27.72/18.26 tff(11433,plain,
% 27.72/18.26 (((~nextState(constB88, constB89)) | v90(constB88, 2) | v100(constB89) | (~v90(constB89, 2))) <=> (v90(constB88, 2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 2)))),
% 27.72/18.26 inference(rewrite,[status(thm)],[])).
% 27.72/18.26 tff(11434,plain,
% 27.72/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB88, constB89)) | v90(constB88, 2) | v100(constB89) | (~v90(constB89, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB88, 2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 2))))),
% 27.72/18.26 inference(monotonicity,[status(thm)],[11433])).
% 27.72/18.26 tff(11435,plain,
% 27.72/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB88, constB89)) | v90(constB88, 2) | v100(constB89) | (~v90(constB89, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB88, 2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 2)))),
% 27.72/18.26 inference(transitivity,[status(thm)],[11434, 11432])).
% 27.72/18.26 tff(11436,plain,
% 27.72/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB88, constB89)) | v90(constB88, 2) | v100(constB89) | (~v90(constB89, 2)))),
% 27.72/18.26 inference(quant_inst,[status(thm)],[])).
% 27.72/18.26 tff(11437,plain,
% 27.72/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB88, 2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 2))),
% 27.72/18.26 inference(modus_ponens,[status(thm)],[11436, 11435])).
% 27.72/18.26 tff(11438,plain,
% 27.72/18.26 (v90(constB88, 2) | v100(constB89) | (~v90(constB89, 2))),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11437, 170, 11419])).
% 27.72/18.26 tff(11439,plain,
% 27.72/18.26 (v90(constB88, 2) | (~v90(constB89, 2))),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11438, 11431])).
% 27.72/18.26 tff(11440,plain,
% 27.72/18.26 (~v90(constB89, 2)),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11439, 11413])).
% 27.72/18.26 tff(11441,plain,
% 27.72/18.26 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB87)) | v130(constB87, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB87)) | v130(constB87, 1))),
% 27.72/18.26 inference(rewrite,[status(thm)],[])).
% 27.72/18.26 tff(11442,plain,
% 27.72/18.26 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB87)) | v130(constB87, 1))),
% 27.72/18.26 inference(quant_inst,[status(thm)],[])).
% 27.72/18.26 tff(11443,plain,
% 27.72/18.26 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB87)) | v130(constB87, 1)),
% 27.72/18.26 inference(modus_ponens,[status(thm)],[11442, 11441])).
% 27.72/18.26 tff(11444,plain,
% 27.72/18.26 (v130(constB87, 1)),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11443, 841, 11299])).
% 27.72/18.26 tff(11445,plain,
% 27.72/18.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB87) | (~v130(constB87, 1)) | v127(constB87, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB87) | (~v130(constB87, 1)) | v127(constB87, 1))),
% 27.72/18.26 inference(rewrite,[status(thm)],[])).
% 27.72/18.26 tff(11446,plain,
% 27.72/18.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB87) | (~v130(constB87, 1)) | v127(constB87, 1))),
% 27.72/18.26 inference(quant_inst,[status(thm)],[])).
% 27.72/18.26 tff(11447,plain,
% 27.72/18.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB87) | (~v130(constB87, 1)) | v127(constB87, 1)),
% 27.72/18.26 inference(modus_ponens,[status(thm)],[11446, 11445])).
% 27.72/18.26 tff(11448,plain,
% 27.72/18.26 ((~v130(constB87, 1)) | v127(constB87, 1)),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11447, 855, 11342])).
% 27.72/18.26 tff(11449,plain,
% 27.72/18.26 (v127(constB87, 1)),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11448, 11444])).
% 27.72/18.26 tff(11450,plain,
% 27.72/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB87, constB88)) | (~v127(constB87, 1)) | v129(constB88, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB87, constB88)) | (~v127(constB87, 1)) | v129(constB88, 1))),
% 27.72/18.26 inference(rewrite,[status(thm)],[])).
% 27.72/18.26 tff(11451,plain,
% 27.72/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB87, constB88)) | (~v127(constB87, 1)) | v129(constB88, 1))),
% 27.72/18.26 inference(quant_inst,[status(thm)],[])).
% 27.72/18.26 tff(11452,plain,
% 27.72/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB87, constB88)) | (~v127(constB87, 1)) | v129(constB88, 1)),
% 27.72/18.26 inference(modus_ponens,[status(thm)],[11451, 11450])).
% 27.72/18.26 tff(11453,plain,
% 27.72/18.26 ((~v127(constB87, 1)) | v129(constB88, 1)),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11452, 870, 11357])).
% 27.72/18.26 tff(11454,plain,
% 27.72/18.26 (v129(constB88, 1)),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11453, 11449])).
% 27.72/18.26 tff(11455,plain,
% 27.72/18.26 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB88, 1) | (~v129(constB88, 1)) | (~v100(constB88)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB88, 1) | (~v129(constB88, 1)) | (~v100(constB88)))),
% 27.72/18.26 inference(rewrite,[status(thm)],[])).
% 27.72/18.26 tff(11456,plain,
% 27.72/18.26 ((v90(constB88, 1) | (~v100(constB88)) | (~v129(constB88, 1))) <=> (v90(constB88, 1) | (~v129(constB88, 1)) | (~v100(constB88)))),
% 27.72/18.26 inference(rewrite,[status(thm)],[])).
% 27.72/18.26 tff(11457,plain,
% 27.72/18.26 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB88, 1) | (~v100(constB88)) | (~v129(constB88, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB88, 1) | (~v129(constB88, 1)) | (~v100(constB88))))),
% 27.72/18.26 inference(monotonicity,[status(thm)],[11456])).
% 27.72/18.26 tff(11458,plain,
% 27.72/18.26 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB88, 1) | (~v100(constB88)) | (~v129(constB88, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB88, 1) | (~v129(constB88, 1)) | (~v100(constB88)))),
% 27.72/18.26 inference(transitivity,[status(thm)],[11457, 11455])).
% 27.72/18.26 tff(11459,plain,
% 27.72/18.26 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB88, 1) | (~v100(constB88)) | (~v129(constB88, 1)))),
% 27.72/18.26 inference(quant_inst,[status(thm)],[])).
% 27.72/18.26 tff(11460,plain,
% 27.72/18.26 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB88, 1) | (~v129(constB88, 1)) | (~v100(constB88))),
% 27.72/18.26 inference(modus_ponens,[status(thm)],[11459, 11458])).
% 27.72/18.26 tff(11461,plain,
% 27.72/18.26 (v90(constB88, 1) | (~v100(constB88))),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11460, 885, 11454])).
% 27.72/18.26 tff(11462,plain,
% 27.72/18.26 (v90(constB88, 1)),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11461, 11391])).
% 27.72/18.26 tff(11463,plain,
% 27.72/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB88, 1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB88, 1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 1))),
% 27.72/18.26 inference(rewrite,[status(thm)],[])).
% 27.72/18.26 tff(11464,plain,
% 27.72/18.26 (((~nextState(constB88, constB89)) | (~v90(constB88, 1)) | v100(constB89) | v90(constB89, 1)) <=> ((~v90(constB88, 1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 1))),
% 27.72/18.26 inference(rewrite,[status(thm)],[])).
% 27.72/18.26 tff(11465,plain,
% 27.72/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, 1)) | v100(constB89) | v90(constB89, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB88, 1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 1)))),
% 27.72/18.26 inference(monotonicity,[status(thm)],[11464])).
% 27.72/18.26 tff(11466,plain,
% 27.72/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, 1)) | v100(constB89) | v90(constB89, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB88, 1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 1))),
% 27.72/18.26 inference(transitivity,[status(thm)],[11465, 11463])).
% 27.72/18.26 tff(11467,plain,
% 27.72/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, 1)) | v100(constB89) | v90(constB89, 1))),
% 27.72/18.26 inference(quant_inst,[status(thm)],[])).
% 27.72/18.26 tff(11468,plain,
% 27.72/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB88, 1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 1)),
% 27.72/18.26 inference(modus_ponens,[status(thm)],[11467, 11466])).
% 27.72/18.26 tff(11469,plain,
% 27.72/18.26 ((~v90(constB88, 1)) | v100(constB89) | v90(constB89, 1)),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11468, 903, 11419])).
% 27.72/18.26 tff(11470,plain,
% 27.72/18.26 ((~v90(constB88, 1)) | v90(constB89, 1)),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11469, 11431])).
% 27.72/18.26 tff(11471,plain,
% 27.72/18.26 (v90(constB89, 1)),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11470, 11462])).
% 27.72/18.26 tff(11472,plain,
% 27.72/18.26 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB87)) | (~v130(constB87, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB87)) | (~v130(constB87, 0)))),
% 27.72/18.26 inference(rewrite,[status(thm)],[])).
% 27.72/18.26 tff(11473,plain,
% 27.72/18.26 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB87)) | (~v130(constB87, 0)))),
% 27.72/18.26 inference(quant_inst,[status(thm)],[])).
% 27.72/18.26 tff(11474,plain,
% 27.72/18.26 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB87)) | (~v130(constB87, 0))),
% 27.72/18.26 inference(modus_ponens,[status(thm)],[11473, 11472])).
% 27.72/18.26 tff(11475,plain,
% 27.72/18.26 (~v130(constB87, 0)),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11474, 919, 11299])).
% 27.72/18.26 tff(11476,plain,
% 27.72/18.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB87, 0)) | v26(constB87) | v130(constB87, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB87, 0)) | v26(constB87) | v130(constB87, 0))),
% 27.72/18.26 inference(rewrite,[status(thm)],[])).
% 27.72/18.26 tff(11477,plain,
% 27.72/18.26 ((v26(constB87) | v130(constB87, 0) | (~v127(constB87, 0))) <=> ((~v127(constB87, 0)) | v26(constB87) | v130(constB87, 0))),
% 27.72/18.26 inference(rewrite,[status(thm)],[])).
% 27.72/18.26 tff(11478,plain,
% 27.72/18.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB87) | v130(constB87, 0) | (~v127(constB87, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB87, 0)) | v26(constB87) | v130(constB87, 0)))),
% 27.72/18.26 inference(monotonicity,[status(thm)],[11477])).
% 27.72/18.26 tff(11479,plain,
% 27.72/18.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB87) | v130(constB87, 0) | (~v127(constB87, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB87, 0)) | v26(constB87) | v130(constB87, 0))),
% 27.72/18.26 inference(transitivity,[status(thm)],[11478, 11476])).
% 27.72/18.26 tff(11480,plain,
% 27.72/18.26 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB87) | v130(constB87, 0) | (~v127(constB87, 0)))),
% 27.72/18.26 inference(quant_inst,[status(thm)],[])).
% 27.72/18.26 tff(11481,plain,
% 27.72/18.26 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB87, 0)) | v26(constB87) | v130(constB87, 0)),
% 27.72/18.26 inference(modus_ponens,[status(thm)],[11480, 11479])).
% 27.72/18.26 tff(11482,plain,
% 27.72/18.26 ((~v127(constB87, 0)) | v130(constB87, 0)),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11481, 933, 11342])).
% 27.72/18.26 tff(11483,plain,
% 27.72/18.26 (~v127(constB87, 0)),
% 27.72/18.26 inference(unit_resolution,[status(thm)],[11482, 11475])).
% 27.72/18.26 tff(11484,plain,
% 27.72/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB87, constB88)) | v127(constB87, 0) | (~v129(constB88, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB87, constB88)) | v127(constB87, 0) | (~v129(constB88, 0)))),
% 27.72/18.26 inference(rewrite,[status(thm)],[])).
% 27.72/18.26 tff(11485,plain,
% 27.72/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB87, constB88)) | v127(constB87, 0) | (~v129(constB88, 0)))),
% 27.72/18.26 inference(quant_inst,[status(thm)],[])).
% 27.72/18.26 tff(11486,plain,
% 27.72/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB87, constB88)) | v127(constB87, 0) | (~v129(constB88, 0))),
% 27.75/18.26 inference(modus_ponens,[status(thm)],[11485, 11484])).
% 27.75/18.26 tff(11487,plain,
% 27.75/18.26 (v127(constB87, 0) | (~v129(constB88, 0))),
% 27.75/18.26 inference(unit_resolution,[status(thm)],[11486, 951, 11357])).
% 27.75/18.26 tff(11488,plain,
% 27.75/18.26 (~v129(constB88, 0)),
% 27.75/18.26 inference(unit_resolution,[status(thm)],[11487, 11483])).
% 27.75/18.26 tff(11489,plain,
% 27.75/18.26 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB88, 0)) | v129(constB88, 0) | (~v100(constB88)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB88, 0)) | v129(constB88, 0) | (~v100(constB88)))),
% 27.75/18.26 inference(rewrite,[status(thm)],[])).
% 27.75/18.26 tff(11490,plain,
% 27.75/18.26 (((~v90(constB88, 0)) | (~v100(constB88)) | v129(constB88, 0)) <=> ((~v90(constB88, 0)) | v129(constB88, 0) | (~v100(constB88)))),
% 27.75/18.26 inference(rewrite,[status(thm)],[])).
% 27.75/18.26 tff(11491,plain,
% 27.75/18.26 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB88, 0)) | (~v100(constB88)) | v129(constB88, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB88, 0)) | v129(constB88, 0) | (~v100(constB88))))),
% 27.75/18.26 inference(monotonicity,[status(thm)],[11490])).
% 27.75/18.26 tff(11492,plain,
% 27.75/18.26 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB88, 0)) | (~v100(constB88)) | v129(constB88, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB88, 0)) | v129(constB88, 0) | (~v100(constB88)))),
% 27.75/18.26 inference(transitivity,[status(thm)],[11491, 11489])).
% 27.75/18.26 tff(11493,plain,
% 27.75/18.26 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB88, 0)) | (~v100(constB88)) | v129(constB88, 0))),
% 27.75/18.26 inference(quant_inst,[status(thm)],[])).
% 27.75/18.26 tff(11494,plain,
% 27.75/18.26 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB88, 0)) | v129(constB88, 0) | (~v100(constB88))),
% 27.75/18.26 inference(modus_ponens,[status(thm)],[11493, 11492])).
% 27.75/18.26 tff(11495,plain,
% 27.75/18.26 ((~v90(constB88, 0)) | (~v100(constB88))),
% 27.75/18.26 inference(unit_resolution,[status(thm)],[11494, 966, 11488])).
% 27.75/18.26 tff(11496,plain,
% 27.75/18.26 (~v90(constB88, 0)),
% 27.75/18.26 inference(unit_resolution,[status(thm)],[11495, 11391])).
% 27.75/18.26 tff(11497,plain,
% 27.75/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB88, 0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB88, 0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 0)))),
% 27.75/18.26 inference(rewrite,[status(thm)],[])).
% 27.75/18.26 tff(11498,plain,
% 27.75/18.26 (((~nextState(constB88, constB89)) | v90(constB88, 0) | v100(constB89) | (~v90(constB89, 0))) <=> (v90(constB88, 0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 0)))),
% 27.75/18.26 inference(rewrite,[status(thm)],[])).
% 27.75/18.26 tff(11499,plain,
% 27.75/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB88, constB89)) | v90(constB88, 0) | v100(constB89) | (~v90(constB89, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB88, 0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 0))))),
% 27.75/18.26 inference(monotonicity,[status(thm)],[11498])).
% 27.75/18.26 tff(11500,plain,
% 27.75/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB88, constB89)) | v90(constB88, 0) | v100(constB89) | (~v90(constB89, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB88, 0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 0)))),
% 27.75/18.26 inference(transitivity,[status(thm)],[11499, 11497])).
% 27.75/18.26 tff(11501,plain,
% 27.75/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB88, constB89)) | v90(constB88, 0) | v100(constB89) | (~v90(constB89, 0)))),
% 27.75/18.26 inference(quant_inst,[status(thm)],[])).
% 27.75/18.26 tff(11502,plain,
% 27.75/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB88, 0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 0))),
% 27.75/18.26 inference(modus_ponens,[status(thm)],[11501, 11500])).
% 27.75/18.26 tff(11503,plain,
% 27.75/18.26 (v90(constB88, 0) | v100(constB89) | (~v90(constB89, 0))),
% 27.75/18.26 inference(unit_resolution,[status(thm)],[11502, 212, 11419])).
% 27.75/18.26 tff(11504,plain,
% 27.75/18.26 (v90(constB88, 0) | (~v90(constB89, 0))),
% 27.75/18.26 inference(unit_resolution,[status(thm)],[11503, 11431])).
% 27.75/18.26 tff(11505,plain,
% 27.75/18.26 (~v90(constB89, 0)),
% 27.75/18.26 inference(unit_resolution,[status(thm)],[11504, 11496])).
% 27.75/18.26 tff(11506,plain,
% 27.75/18.26 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB89, 0) | (~v90(constB89, 1)) | v90(constB89, 2) | v121(constB89))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB89, 0) | (~v90(constB89, 1)) | v90(constB89, 2) | v121(constB89))),
% 27.75/18.26 inference(rewrite,[status(thm)],[])).
% 27.75/18.26 tff(11507,plain,
% 27.75/18.26 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB89, 0) | (~v90(constB89, 1)) | v90(constB89, 2) | v121(constB89))),
% 27.75/18.26 inference(quant_inst,[status(thm)],[])).
% 27.75/18.26 tff(11508,plain,
% 27.75/18.26 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB89, 0) | (~v90(constB89, 1)) | v90(constB89, 2) | v121(constB89)),
% 27.75/18.26 inference(modus_ponens,[status(thm)],[11507, 11506])).
% 27.75/18.26 tff(11509,plain,
% 27.75/18.26 (v121(constB89)),
% 27.75/18.26 inference(unit_resolution,[status(thm)],[11508, 993, 11505, 11471, 11440])).
% 27.75/18.26 tff(11510,plain,
% 27.75/18.26 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB89)) | v130(constB89, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB89)) | v130(constB89, 1))),
% 27.75/18.26 inference(rewrite,[status(thm)],[])).
% 27.75/18.26 tff(11511,plain,
% 27.75/18.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB89)) | v130(constB89, 1))),
% 27.75/18.26 inference(quant_inst,[status(thm)],[])).
% 27.75/18.26 tff(11512,plain,
% 27.75/18.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB89)) | v130(constB89, 1)),
% 27.75/18.26 inference(modus_ponens,[status(thm)],[11511, 11510])).
% 27.75/18.26 tff(11513,plain,
% 27.75/18.26 (v130(constB89, 1)),
% 27.75/18.26 inference(unit_resolution,[status(thm)],[11512, 1235, 11509])).
% 27.75/18.26 tff(11514,assumption,(v26(constB89)), introduced(assumption)).
% 27.75/18.26 tff(11515,plain,
% 27.75/18.26 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB89))),
% 27.75/18.26 inference(quant_inst,[status(thm)],[])).
% 27.75/18.26 tff(11516,plain,
% 27.75/18.26 ($false),
% 27.75/18.26 inference(unit_resolution,[status(thm)],[11515, 95, 11514])).
% 27.75/18.26 tff(11517,plain,(~v26(constB89)), inference(lemma,lemma(discharge,[]))).
% 27.75/18.26 tff(11518,plain,
% 27.75/18.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB89) | (~v130(constB89, 1)) | v127(constB89, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB89) | (~v130(constB89, 1)) | v127(constB89, 1))),
% 27.75/18.26 inference(rewrite,[status(thm)],[])).
% 27.75/18.26 tff(11519,plain,
% 27.75/18.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB89) | (~v130(constB89, 1)) | v127(constB89, 1))),
% 27.75/18.26 inference(quant_inst,[status(thm)],[])).
% 27.75/18.26 tff(11520,plain,
% 27.75/18.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB89) | (~v130(constB89, 1)) | v127(constB89, 1)),
% 27.75/18.26 inference(modus_ponens,[status(thm)],[11519, 11518])).
% 27.75/18.26 tff(11521,plain,
% 27.75/18.26 ((~v130(constB89, 1)) | v127(constB89, 1)),
% 27.75/18.26 inference(unit_resolution,[status(thm)],[11520, 855, 11517])).
% 27.75/18.26 tff(11522,plain,
% 27.75/18.26 (v127(constB89, 1)),
% 27.75/18.26 inference(unit_resolution,[status(thm)],[11521, 11513])).
% 27.75/18.26 tff(11523,plain,
% 27.75/18.26 (nextState(constB89, constB90) <=> nextState(constB89, constB90)),
% 27.75/18.26 inference(rewrite,[status(thm)],[])).
% 27.75/18.26 tff(11524,axiom,(nextState(constB89, constB90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_89_1')).
% 27.75/18.26 tff(11525,plain,
% 27.75/18.26 (nextState(constB89, constB90)),
% 27.75/18.26 inference(modus_ponens,[status(thm)],[11524, 11523])).
% 27.75/18.26 tff(11526,plain,
% 27.75/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB89, constB90)) | (~v127(constB89, 1)) | v129(constB90, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB89, constB90)) | (~v127(constB89, 1)) | v129(constB90, 1))),
% 27.75/18.26 inference(rewrite,[status(thm)],[])).
% 27.75/18.26 tff(11527,plain,
% 27.75/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB89, constB90)) | (~v127(constB89, 1)) | v129(constB90, 1))),
% 27.75/18.26 inference(quant_inst,[status(thm)],[])).
% 27.75/18.26 tff(11528,plain,
% 27.75/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB89, constB90)) | (~v127(constB89, 1)) | v129(constB90, 1)),
% 27.75/18.26 inference(modus_ponens,[status(thm)],[11527, 11526])).
% 27.75/18.26 tff(11529,plain,
% 27.75/18.26 ((~v127(constB89, 1)) | v129(constB90, 1)),
% 27.75/18.26 inference(unit_resolution,[status(thm)],[11528, 870, 11525])).
% 27.75/18.26 tff(11530,plain,
% 27.75/18.26 (v129(constB90, 1)),
% 27.75/18.26 inference(unit_resolution,[status(thm)],[11529, 11522])).
% 27.75/18.26 tff(11531,assumption,(~v90(constB89, 0)), introduced(assumption)).
% 27.75/18.26 tff(11532,assumption,(~v100(constB90)), introduced(assumption)).
% 27.75/18.26 tff(11533,plain,
% 27.75/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB89, 0) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB89, 0) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 0)))),
% 27.75/18.26 inference(rewrite,[status(thm)],[])).
% 27.75/18.26 tff(11534,plain,
% 27.75/18.26 (((~nextState(constB89, constB90)) | v90(constB89, 0) | v100(constB90) | (~v90(constB90, 0))) <=> (v90(constB89, 0) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 0)))),
% 27.75/18.26 inference(rewrite,[status(thm)],[])).
% 27.75/18.26 tff(11535,plain,
% 27.75/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB89, constB90)) | v90(constB89, 0) | v100(constB90) | (~v90(constB90, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB89, 0) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 0))))),
% 27.75/18.26 inference(monotonicity,[status(thm)],[11534])).
% 27.75/18.26 tff(11536,plain,
% 27.75/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB89, constB90)) | v90(constB89, 0) | v100(constB90) | (~v90(constB90, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB89, 0) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 0)))),
% 27.75/18.26 inference(transitivity,[status(thm)],[11535, 11533])).
% 27.75/18.26 tff(11537,plain,
% 27.75/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB89, constB90)) | v90(constB89, 0) | v100(constB90) | (~v90(constB90, 0)))),
% 27.75/18.26 inference(quant_inst,[status(thm)],[])).
% 27.75/18.26 tff(11538,plain,
% 27.75/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB89, 0) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 0))),
% 27.75/18.26 inference(modus_ponens,[status(thm)],[11537, 11536])).
% 27.75/18.26 tff(11539,plain,
% 27.75/18.26 (v90(constB89, 0) | v100(constB90) | (~v90(constB90, 0))),
% 27.75/18.26 inference(unit_resolution,[status(thm)],[11538, 212, 11525])).
% 27.75/18.26 tff(11540,plain,
% 27.75/18.26 (~v90(constB90, 0)),
% 27.75/18.26 inference(unit_resolution,[status(thm)],[11539, 11532, 11531])).
% 27.75/18.26 tff(11541,plain,
% 27.75/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB88, 0)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB88, 0)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 0))),
% 27.75/18.26 inference(rewrite,[status(thm)],[])).
% 27.75/18.26 tff(11542,plain,
% 27.75/18.26 (((~nextState(constB88, constB89)) | (~v90(constB88, 0)) | v100(constB89) | v90(constB89, 0)) <=> ((~v90(constB88, 0)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 0))),
% 27.75/18.26 inference(rewrite,[status(thm)],[])).
% 27.75/18.26 tff(11543,plain,
% 27.75/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB88, constB89)) | (~v90(constB88, 0)) | v100(constB89) | v90(constB89, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB88, 0)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 0)))),
% 27.75/18.26 inference(monotonicity,[status(thm)],[11542])).
% 27.75/18.26 tff(11544,plain,
% 27.75/18.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB88, constB89)) | (~v90(constB88, 0)) | v100(constB89) | v90(constB89, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB88, 0)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 0))),
% 27.75/18.26 inference(transitivity,[status(thm)],[11543, 11541])).
% 27.75/18.26 tff(11545,plain,
% 27.75/18.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB88, constB89)) | (~v90(constB88, 0)) | v100(constB89) | v90(constB89, 0))),
% 27.75/18.26 inference(quant_inst,[status(thm)],[])).
% 27.75/18.26 tff(11546,plain,
% 27.75/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB88, 0)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 0)),
% 27.75/18.27 inference(modus_ponens,[status(thm)],[11545, 11544])).
% 27.75/18.27 tff(11547,plain,
% 27.75/18.27 ((~v90(constB88, 0)) | v100(constB89) | v90(constB89, 0)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11546, 660, 11419])).
% 27.75/18.27 tff(11548,plain,
% 27.75/18.27 ((~v90(constB88, 0)) | v90(constB89, 0)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11547, 11431])).
% 27.75/18.27 tff(11549,plain,
% 27.75/18.27 (~v90(constB88, 0)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11548, 11531])).
% 27.75/18.27 tff(11550,assumption,(~v90(constB90, 0)), introduced(assumption)).
% 27.75/18.27 tff(11551,assumption,(v123(constB89)), introduced(assumption)).
% 27.75/18.27 tff(11552,plain,
% 27.75/18.27 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB89)) | v115(constB89))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB89)) | v115(constB89))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11553,plain,
% 27.75/18.27 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB89)) | v115(constB89))),
% 27.75/18.27 inference(quant_inst,[status(thm)],[])).
% 27.75/18.27 tff(11554,plain,
% 27.75/18.27 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB89)) | v115(constB89)),
% 27.75/18.27 inference(modus_ponens,[status(thm)],[11553, 11552])).
% 27.75/18.27 tff(11555,plain,
% 27.75/18.27 (v115(constB89)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11554, 1579, 11551])).
% 27.75/18.27 tff(11556,plain,
% 27.75/18.27 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB89)) | v114(constB89))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB89)) | v114(constB89))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11557,plain,
% 27.75/18.27 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB89)) | v114(constB89))),
% 27.75/18.27 inference(quant_inst,[status(thm)],[])).
% 27.75/18.27 tff(11558,plain,
% 27.75/18.27 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB89)) | v114(constB89)),
% 27.75/18.27 inference(modus_ponens,[status(thm)],[11557, 11556])).
% 27.75/18.27 tff(11559,plain,
% 27.75/18.27 (v114(constB89)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11558, 300, 11555])).
% 27.75/18.27 tff(11560,plain,
% 27.75/18.27 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB89)) | v130(constB89, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB89)) | v130(constB89, 0))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11561,plain,
% 27.75/18.27 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB89)) | v130(constB89, 0))),
% 27.75/18.27 inference(quant_inst,[status(thm)],[])).
% 27.75/18.27 tff(11562,plain,
% 27.75/18.27 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB89)) | v130(constB89, 0)),
% 27.75/18.27 inference(modus_ponens,[status(thm)],[11561, 11560])).
% 27.75/18.27 tff(11563,plain,
% 27.75/18.27 (v130(constB89, 0)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11562, 1753, 11551])).
% 27.75/18.27 tff(11564,assumption,(~v26(constB89)), introduced(assumption)).
% 27.75/18.27 tff(11565,plain,
% 27.75/18.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB89) | (~v130(constB89, 0)) | v127(constB89, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB89) | (~v130(constB89, 0)) | v127(constB89, 0))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11566,plain,
% 27.75/18.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB89) | (~v130(constB89, 0)) | v127(constB89, 0))),
% 27.75/18.27 inference(quant_inst,[status(thm)],[])).
% 27.75/18.27 tff(11567,plain,
% 27.75/18.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB89) | (~v130(constB89, 0)) | v127(constB89, 0)),
% 27.75/18.27 inference(modus_ponens,[status(thm)],[11566, 11565])).
% 27.75/18.27 tff(11568,plain,
% 27.75/18.27 ((~v130(constB89, 0)) | v127(constB89, 0)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11567, 612, 11564])).
% 27.75/18.27 tff(11569,plain,
% 27.75/18.27 (v127(constB89, 0)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11568, 11563])).
% 27.75/18.27 tff(11570,plain,
% 27.75/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB89, constB90)) | (~v127(constB89, 0)) | v129(constB90, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB89, constB90)) | (~v127(constB89, 0)) | v129(constB90, 0))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11571,plain,
% 27.75/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB89, constB90)) | (~v127(constB89, 0)) | v129(constB90, 0))),
% 27.75/18.27 inference(quant_inst,[status(thm)],[])).
% 27.75/18.27 tff(11572,plain,
% 27.75/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB89, constB90)) | (~v127(constB89, 0)) | v129(constB90, 0)),
% 27.75/18.27 inference(modus_ponens,[status(thm)],[11571, 11570])).
% 27.75/18.27 tff(11573,plain,
% 27.75/18.27 ((~v127(constB89, 0)) | v129(constB90, 0)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11572, 627, 11525])).
% 27.75/18.27 tff(11574,plain,
% 27.75/18.27 (v129(constB90, 0)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11573, 11569])).
% 27.75/18.27 tff(11575,plain,
% 27.75/18.27 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB90, 0) | (~v129(constB90, 0)) | (~v100(constB90)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB90, 0) | (~v129(constB90, 0)) | (~v100(constB90)))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11576,plain,
% 27.75/18.27 ((v90(constB90, 0) | (~v100(constB90)) | (~v129(constB90, 0))) <=> (v90(constB90, 0) | (~v129(constB90, 0)) | (~v100(constB90)))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11577,plain,
% 27.75/18.27 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB90, 0) | (~v100(constB90)) | (~v129(constB90, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB90, 0) | (~v129(constB90, 0)) | (~v100(constB90))))),
% 27.75/18.27 inference(monotonicity,[status(thm)],[11576])).
% 27.75/18.27 tff(11578,plain,
% 27.75/18.27 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB90, 0) | (~v100(constB90)) | (~v129(constB90, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB90, 0) | (~v129(constB90, 0)) | (~v100(constB90)))),
% 27.75/18.27 inference(transitivity,[status(thm)],[11577, 11575])).
% 27.75/18.27 tff(11579,plain,
% 27.75/18.27 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB90, 0) | (~v100(constB90)) | (~v129(constB90, 0)))),
% 27.75/18.27 inference(quant_inst,[status(thm)],[])).
% 27.75/18.27 tff(11580,plain,
% 27.75/18.27 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB90, 0) | (~v129(constB90, 0)) | (~v100(constB90))),
% 27.75/18.27 inference(modus_ponens,[status(thm)],[11579, 11578])).
% 27.75/18.27 tff(11581,plain,
% 27.75/18.27 ((~v129(constB90, 0)) | (~v100(constB90))),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11580, 642, 11550])).
% 27.75/18.27 tff(11582,plain,
% 27.75/18.27 (~v100(constB90)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11581, 11574])).
% 27.75/18.27 tff(11583,plain,
% 27.75/18.27 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11584,plain,
% 27.75/18.27 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))),
% 27.75/18.27 inference(quant_inst,[status(thm)],[])).
% 27.75/18.27 tff(11585,plain,
% 27.75/18.27 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90))),
% 27.75/18.27 inference(modus_ponens,[status(thm)],[11584, 11583])).
% 27.75/18.27 tff(11586,plain,
% 27.75/18.27 (~v104(constB90)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11585, 378, 11525, 11416])).
% 27.75/18.27 tff(11587,plain,
% 27.75/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11588,plain,
% 27.75/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))),
% 27.75/18.27 inference(quant_inst,[status(thm)],[])).
% 27.75/18.27 tff(11589,plain,
% 27.75/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB89, constB90)) | v102(constB90) | v104(constB90)),
% 27.75/18.27 inference(modus_ponens,[status(thm)],[11588, 11587])).
% 27.75/18.27 tff(11590,plain,
% 27.75/18.27 (v102(constB90) | v104(constB90)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11589, 392, 11525])).
% 27.75/18.27 tff(11591,plain,
% 27.75/18.27 (v102(constB90)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11590, 11586])).
% 27.75/18.27 tff(11592,plain,
% 27.75/18.27 (v1(constB90) <=> v1(constB90)),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11593,axiom,(v1(constB90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_90_1')).
% 27.75/18.27 tff(11594,plain,
% 27.75/18.27 (v1(constB90)),
% 27.75/18.27 inference(modus_ponens,[status(thm)],[11593, 11592])).
% 27.75/18.27 tff(11595,plain,
% 27.75/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11596,plain,
% 27.75/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))),
% 27.75/18.27 inference(quant_inst,[status(thm)],[])).
% 27.75/18.27 tff(11597,plain,
% 27.75/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90))),
% 27.75/18.27 inference(modus_ponens,[status(thm)],[11596, 11595])).
% 27.75/18.27 tff(11598,plain,
% 27.75/18.27 (v101(constB90) | (~v102(constB90))),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11597, 410, 11525, 11594])).
% 27.75/18.27 tff(11599,plain,
% 27.75/18.27 (v101(constB90)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11598, 11591])).
% 27.75/18.27 tff(11600,plain,
% 27.75/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11601,plain,
% 27.75/18.27 (((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90)) <=> ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11602,plain,
% 27.75/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90))))),
% 27.75/18.27 inference(monotonicity,[status(thm)],[11601])).
% 27.75/18.27 tff(11603,plain,
% 27.75/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 27.75/18.27 inference(transitivity,[status(thm)],[11602, 11600])).
% 27.75/18.27 tff(11604,plain,
% 27.75/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))),
% 27.75/18.27 inference(quant_inst,[status(thm)],[])).
% 27.75/18.27 tff(11605,plain,
% 27.75/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90))),
% 27.75/18.27 inference(modus_ponens,[status(thm)],[11604, 11603])).
% 27.75/18.27 tff(11606,plain,
% 27.75/18.27 (v100(constB90) | (~v101(constB90)) | (~v110(constB90))),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11605, 425, 11525])).
% 27.75/18.27 tff(11607,plain,
% 27.75/18.27 (v100(constB90) | (~v110(constB90))),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11606, 11599])).
% 27.75/18.27 tff(11608,plain,
% 27.75/18.27 (~v110(constB90)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11607, 11582])).
% 27.75/18.27 tff(11609,plain,
% 27.75/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11610,plain,
% 27.75/18.27 (((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90)) <=> ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11611,plain,
% 27.75/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89))))),
% 27.75/18.27 inference(monotonicity,[status(thm)],[11610])).
% 27.75/18.27 tff(11612,plain,
% 27.75/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 27.75/18.27 inference(transitivity,[status(thm)],[11611, 11609])).
% 27.75/18.27 tff(11613,plain,
% 27.75/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))),
% 27.75/18.27 inference(quant_inst,[status(thm)],[])).
% 27.75/18.27 tff(11614,plain,
% 27.75/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89))),
% 27.75/18.27 inference(modus_ponens,[status(thm)],[11613, 11612])).
% 27.75/18.27 tff(11615,plain,
% 27.75/18.27 (v110(constB90) | (~v108(constB89))),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11614, 360, 11525])).
% 27.75/18.27 tff(11616,plain,
% 27.75/18.27 (~v108(constB89)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11615, 11608])).
% 27.75/18.27 tff(11617,plain,
% 27.75/18.27 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB89) | (~v112(constB89)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v112(constB89)))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11618,plain,
% 27.75/18.27 (((~v112(constB89)) | v108(constB89)) <=> (v108(constB89) | (~v112(constB89)))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11619,plain,
% 27.75/18.27 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB89)) | v108(constB89))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB89) | (~v112(constB89))))),
% 27.75/18.27 inference(monotonicity,[status(thm)],[11618])).
% 27.75/18.27 tff(11620,plain,
% 27.75/18.27 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB89)) | v108(constB89))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v112(constB89)))),
% 27.75/18.27 inference(transitivity,[status(thm)],[11619, 11617])).
% 27.75/18.27 tff(11621,plain,
% 27.75/18.27 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB89)) | v108(constB89))),
% 27.75/18.27 inference(quant_inst,[status(thm)],[])).
% 27.75/18.27 tff(11622,plain,
% 27.75/18.27 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v112(constB89))),
% 27.75/18.27 inference(modus_ponens,[status(thm)],[11621, 11620])).
% 27.75/18.27 tff(11623,plain,
% 27.75/18.27 (~v112(constB89)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11622, 340, 11616])).
% 27.75/18.27 tff(11624,plain,
% 27.75/18.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | v112(constB89) | (~v113(constB89)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11625,plain,
% 27.75/18.27 ((v26(constB89) | (~v113(constB89)) | v112(constB89)) <=> (v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11626,plain,
% 27.75/18.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | v112(constB89) | (~v113(constB89))))),
% 27.75/18.27 inference(monotonicity,[status(thm)],[11625])).
% 27.75/18.27 tff(11627,plain,
% 27.75/18.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 27.75/18.27 inference(transitivity,[status(thm)],[11626, 11624])).
% 27.75/18.27 tff(11628,plain,
% 27.75/18.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))),
% 27.75/18.27 inference(quant_inst,[status(thm)],[])).
% 27.75/18.27 tff(11629,plain,
% 27.75/18.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89))),
% 27.75/18.27 inference(modus_ponens,[status(thm)],[11628, 11627])).
% 27.75/18.27 tff(11630,plain,
% 27.75/18.27 (v112(constB89) | (~v113(constB89))),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11629, 328, 11564])).
% 27.75/18.27 tff(11631,plain,
% 27.75/18.27 (~v113(constB89)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11630, 11623])).
% 27.75/18.27 tff(11632,plain,
% 27.75/18.27 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB89)) | v113(constB89))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB89)) | v113(constB89))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11633,plain,
% 27.75/18.27 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB89)) | v113(constB89))),
% 27.75/18.27 inference(quant_inst,[status(thm)],[])).
% 27.75/18.27 tff(11634,plain,
% 27.75/18.27 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB89)) | v113(constB89)),
% 27.75/18.27 inference(modus_ponens,[status(thm)],[11633, 11632])).
% 27.75/18.27 tff(11635,plain,
% 27.75/18.27 ($false),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11634, 314, 11631, 11559])).
% 27.75/18.27 tff(11636,plain,((~v123(constB89)) | v26(constB89) | v90(constB90, 0)), inference(lemma,lemma(discharge,[]))).
% 27.75/18.27 tff(11637,plain,
% 27.75/18.27 ((~v123(constB89)) | v90(constB90, 0)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11636, 11517])).
% 27.75/18.27 tff(11638,plain,
% 27.75/18.27 (~v123(constB89)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11637, 11550])).
% 27.75/18.27 tff(11639,assumption,(~v90(constB88, 0)), introduced(assumption)).
% 27.75/18.27 tff(11640,assumption,(~v90(constB88, 1)), introduced(assumption)).
% 27.75/18.27 tff(11641,assumption,(~v90(constB88, 2)), introduced(assumption)).
% 27.75/18.27 tff(11642,assumption,(~v26(constB87)), introduced(assumption)).
% 27.75/18.27 tff(11643,assumption,(~v110(constB88)), introduced(assumption)).
% 27.75/18.27 tff(11644,plain,
% 27.75/18.27 (~v108(constB87)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11364, 11643])).
% 27.75/18.27 tff(11645,plain,
% 27.75/18.27 (~v112(constB87)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11353, 340, 11644])).
% 27.75/18.27 tff(11646,plain,
% 27.75/18.27 ((~v113(constB87)) | v112(constB87)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11345, 328, 11642])).
% 27.75/18.27 tff(11647,plain,
% 27.75/18.27 (~v113(constB87)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11646, 11645])).
% 27.75/18.27 tff(11648,plain,
% 27.75/18.27 (~v114(constB87)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11337, 314, 11647])).
% 27.75/18.27 tff(11649,plain,
% 27.75/18.27 (~v115(constB87)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11330, 300, 11648])).
% 27.75/18.27 tff(11650,plain,
% 27.75/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB87, constB88)) | v110(constB88) | (~v100(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v100(constB88)))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11651,plain,
% 27.75/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB87, constB88)) | v110(constB88) | (~v100(constB88)))),
% 27.75/18.27 inference(quant_inst,[status(thm)],[])).
% 27.75/18.27 tff(11652,plain,
% 27.75/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v100(constB88))),
% 27.75/18.27 inference(modus_ponens,[status(thm)],[11651, 11650])).
% 27.75/18.27 tff(11653,plain,
% 27.75/18.27 (v110(constB88) | (~v100(constB88))),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11652, 4627, 11357])).
% 27.75/18.27 tff(11654,plain,
% 27.75/18.27 (~v100(constB88)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11653, 11643])).
% 27.75/18.27 tff(11655,plain,
% 27.75/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB87, 2)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB87, 2)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, 2))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11656,plain,
% 27.75/18.27 (((~nextState(constB87, constB88)) | (~v90(constB87, 2)) | v100(constB88) | v90(constB88, 2)) <=> ((~v90(constB87, 2)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, 2))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11657,plain,
% 27.75/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB87, constB88)) | (~v90(constB87, 2)) | v100(constB88) | v90(constB88, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB87, 2)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, 2)))),
% 27.75/18.27 inference(monotonicity,[status(thm)],[11656])).
% 27.75/18.27 tff(11658,plain,
% 27.75/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB87, constB88)) | (~v90(constB87, 2)) | v100(constB88) | v90(constB88, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB87, 2)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, 2))),
% 27.75/18.27 inference(transitivity,[status(thm)],[11657, 11655])).
% 27.75/18.27 tff(11659,plain,
% 27.75/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB87, constB88)) | (~v90(constB87, 2)) | v100(constB88) | v90(constB88, 2))),
% 27.75/18.27 inference(quant_inst,[status(thm)],[])).
% 27.75/18.27 tff(11660,plain,
% 27.75/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB87, 2)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, 2)),
% 27.75/18.27 inference(modus_ponens,[status(thm)],[11659, 11658])).
% 27.75/18.27 tff(11661,plain,
% 27.75/18.27 ((~v90(constB87, 2)) | v100(constB88) | v90(constB88, 2)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11660, 1546, 11357])).
% 27.75/18.27 tff(11662,plain,
% 27.75/18.27 (~v90(constB87, 2)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11661, 11654, 11641])).
% 27.75/18.27 tff(11663,plain,
% 27.75/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB87, 1)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB87, 1)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, 1))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11664,plain,
% 27.75/18.27 (((~nextState(constB87, constB88)) | (~v90(constB87, 1)) | v100(constB88) | v90(constB88, 1)) <=> ((~v90(constB87, 1)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, 1))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11665,plain,
% 27.75/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB87, constB88)) | (~v90(constB87, 1)) | v100(constB88) | v90(constB88, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB87, 1)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, 1)))),
% 27.75/18.27 inference(monotonicity,[status(thm)],[11664])).
% 27.75/18.27 tff(11666,plain,
% 27.75/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB87, constB88)) | (~v90(constB87, 1)) | v100(constB88) | v90(constB88, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB87, 1)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, 1))),
% 27.75/18.27 inference(transitivity,[status(thm)],[11665, 11663])).
% 27.75/18.27 tff(11667,plain,
% 27.75/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB87, constB88)) | (~v90(constB87, 1)) | v100(constB88) | v90(constB88, 1))),
% 27.75/18.27 inference(quant_inst,[status(thm)],[])).
% 27.75/18.27 tff(11668,plain,
% 27.75/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB87, 1)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, 1)),
% 27.75/18.27 inference(modus_ponens,[status(thm)],[11667, 11666])).
% 27.75/18.27 tff(11669,plain,
% 27.75/18.27 ((~v90(constB87, 1)) | v100(constB88) | v90(constB88, 1)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11668, 903, 11357])).
% 27.75/18.27 tff(11670,plain,
% 27.75/18.27 (~v90(constB87, 1)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11669, 11654, 11640])).
% 27.75/18.27 tff(11671,plain,
% 27.75/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB87, 0)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB87, 0)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, 0))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11672,plain,
% 27.75/18.27 (((~nextState(constB87, constB88)) | (~v90(constB87, 0)) | v100(constB88) | v90(constB88, 0)) <=> ((~v90(constB87, 0)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, 0))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11673,plain,
% 27.75/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB87, constB88)) | (~v90(constB87, 0)) | v100(constB88) | v90(constB88, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB87, 0)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, 0)))),
% 27.75/18.27 inference(monotonicity,[status(thm)],[11672])).
% 27.75/18.27 tff(11674,plain,
% 27.75/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB87, constB88)) | (~v90(constB87, 0)) | v100(constB88) | v90(constB88, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB87, 0)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, 0))),
% 27.75/18.27 inference(transitivity,[status(thm)],[11673, 11671])).
% 27.75/18.27 tff(11675,plain,
% 27.75/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB87, constB88)) | (~v90(constB87, 0)) | v100(constB88) | v90(constB88, 0))),
% 27.75/18.27 inference(quant_inst,[status(thm)],[])).
% 27.75/18.27 tff(11676,plain,
% 27.75/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB87, 0)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, 0)),
% 27.75/18.27 inference(modus_ponens,[status(thm)],[11675, 11674])).
% 27.75/18.27 tff(11677,plain,
% 27.75/18.27 ((~v90(constB87, 0)) | v100(constB88) | v90(constB88, 0)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11676, 660, 11357])).
% 27.75/18.27 tff(11678,plain,
% 27.75/18.27 (~v90(constB87, 0)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11677, 11654, 11639])).
% 27.75/18.27 tff(11679,plain,
% 27.75/18.27 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB87, 0) | v90(constB87, 1) | v90(constB87, 2) | v119(constB87))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB87, 0) | v90(constB87, 1) | v90(constB87, 2) | v119(constB87))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11680,plain,
% 27.75/18.27 ((v90(constB87, 0) | v119(constB87) | v90(constB87, 1) | v90(constB87, 2)) <=> (v90(constB87, 0) | v90(constB87, 1) | v90(constB87, 2) | v119(constB87))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11681,plain,
% 27.75/18.27 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB87, 0) | v119(constB87) | v90(constB87, 1) | v90(constB87, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB87, 0) | v90(constB87, 1) | v90(constB87, 2) | v119(constB87)))),
% 27.75/18.27 inference(monotonicity,[status(thm)],[11680])).
% 27.75/18.27 tff(11682,plain,
% 27.75/18.27 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB87, 0) | v119(constB87) | v90(constB87, 1) | v90(constB87, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB87, 0) | v90(constB87, 1) | v90(constB87, 2) | v119(constB87))),
% 27.75/18.27 inference(transitivity,[status(thm)],[11681, 11679])).
% 27.75/18.27 tff(11683,plain,
% 27.75/18.27 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB87, 0) | v119(constB87) | v90(constB87, 1) | v90(constB87, 2))),
% 27.75/18.27 inference(quant_inst,[status(thm)],[])).
% 27.75/18.27 tff(11684,plain,
% 27.75/18.27 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB87, 0) | v90(constB87, 1) | v90(constB87, 2) | v119(constB87)),
% 27.75/18.27 inference(modus_ponens,[status(thm)],[11683, 11682])).
% 27.75/18.27 tff(11685,plain,
% 27.75/18.27 (v119(constB87)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11684, 233, 11678, 11670, 11662])).
% 27.75/18.27 tff(11686,plain,
% 27.75/18.27 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB87) | (~v119(constB87)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB87) | (~v119(constB87)))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11687,plain,
% 27.75/18.27 (((~v119(constB87)) | v118(constB87)) <=> (v118(constB87) | (~v119(constB87)))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11688,plain,
% 27.75/18.27 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB87)) | v118(constB87))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB87) | (~v119(constB87))))),
% 27.75/18.27 inference(monotonicity,[status(thm)],[11687])).
% 27.75/18.27 tff(11689,plain,
% 27.75/18.27 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB87)) | v118(constB87))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB87) | (~v119(constB87)))),
% 27.75/18.27 inference(transitivity,[status(thm)],[11688, 11686])).
% 27.75/18.27 tff(11690,plain,
% 27.75/18.27 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB87)) | v118(constB87))),
% 27.75/18.27 inference(quant_inst,[status(thm)],[])).
% 27.75/18.27 tff(11691,plain,
% 27.75/18.27 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB87) | (~v119(constB87))),
% 27.75/18.27 inference(modus_ponens,[status(thm)],[11690, 11689])).
% 27.75/18.27 tff(11692,plain,
% 27.75/18.27 (v118(constB87)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11691, 247, 11685])).
% 27.75/18.27 tff(11693,plain,
% 27.75/18.27 (v117(constB87)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11312, 258, 11692])).
% 27.75/18.27 tff(11694,plain,
% 27.75/18.27 (v116(constB87)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11319, 272, 11693])).
% 27.75/18.27 tff(11695,plain,
% 27.75/18.27 ($false),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11323, 286, 11694, 11649])).
% 27.75/18.27 tff(11696,plain,(v110(constB88) | v26(constB87) | v90(constB88, 0) | v90(constB88, 2) | v90(constB88, 1)), inference(lemma,lemma(discharge,[]))).
% 27.75/18.27 tff(11697,plain,
% 27.75/18.27 (v110(constB88)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11696, 11642, 11639, 11641, 11640])).
% 27.75/18.27 tff(11698,plain,
% 27.75/18.27 (v100(constB88)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11390, 11697])).
% 27.75/18.27 tff(11699,plain,
% 27.75/18.27 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB88, 2) | (~v129(constB88, 2)) | (~v100(constB88)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB88, 2) | (~v129(constB88, 2)) | (~v100(constB88)))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11700,plain,
% 27.75/18.27 ((v90(constB88, 2) | (~v100(constB88)) | (~v129(constB88, 2))) <=> (v90(constB88, 2) | (~v129(constB88, 2)) | (~v100(constB88)))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11701,plain,
% 27.75/18.27 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB88, 2) | (~v100(constB88)) | (~v129(constB88, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB88, 2) | (~v129(constB88, 2)) | (~v100(constB88))))),
% 27.75/18.27 inference(monotonicity,[status(thm)],[11700])).
% 27.75/18.27 tff(11702,plain,
% 27.75/18.27 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB88, 2) | (~v100(constB88)) | (~v129(constB88, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB88, 2) | (~v129(constB88, 2)) | (~v100(constB88)))),
% 27.75/18.27 inference(transitivity,[status(thm)],[11701, 11699])).
% 27.75/18.27 tff(11703,plain,
% 27.75/18.27 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB88, 2) | (~v100(constB88)) | (~v129(constB88, 2)))),
% 27.75/18.27 inference(quant_inst,[status(thm)],[])).
% 27.75/18.27 tff(11704,plain,
% 27.75/18.27 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB88, 2) | (~v129(constB88, 2)) | (~v100(constB88))),
% 27.75/18.27 inference(modus_ponens,[status(thm)],[11703, 11702])).
% 27.75/18.27 tff(11705,plain,
% 27.75/18.27 ((~v129(constB88, 2)) | (~v100(constB88))),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11704, 1528, 11641])).
% 27.75/18.27 tff(11706,plain,
% 27.75/18.27 (~v129(constB88, 2)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11705, 11698])).
% 27.75/18.27 tff(11707,plain,
% 27.75/18.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB87, constB88)) | (~v127(constB87, 2)) | v129(constB88, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB87, constB88)) | (~v127(constB87, 2)) | v129(constB88, 2))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11708,plain,
% 27.75/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB87, constB88)) | (~v127(constB87, 2)) | v129(constB88, 2))),
% 27.75/18.27 inference(quant_inst,[status(thm)],[])).
% 27.75/18.27 tff(11709,plain,
% 27.75/18.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB87, constB88)) | (~v127(constB87, 2)) | v129(constB88, 2)),
% 27.75/18.27 inference(modus_ponens,[status(thm)],[11708, 11707])).
% 27.75/18.27 tff(11710,plain,
% 27.75/18.27 ((~v127(constB87, 2)) | v129(constB88, 2)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11709, 1513, 11357])).
% 27.75/18.27 tff(11711,plain,
% 27.75/18.27 (~v127(constB87, 2)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11710, 11706])).
% 27.75/18.27 tff(11712,plain,
% 27.75/18.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB87) | (~v130(constB87, 2)) | v127(constB87, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB87) | (~v130(constB87, 2)) | v127(constB87, 2))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11713,plain,
% 27.75/18.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB87) | (~v130(constB87, 2)) | v127(constB87, 2))),
% 27.75/18.27 inference(quant_inst,[status(thm)],[])).
% 27.75/18.27 tff(11714,plain,
% 27.75/18.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB87) | (~v130(constB87, 2)) | v127(constB87, 2)),
% 27.75/18.27 inference(modus_ponens,[status(thm)],[11713, 11712])).
% 27.75/18.27 tff(11715,plain,
% 27.75/18.27 ((~v130(constB87, 2)) | v127(constB87, 2)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11714, 1498, 11642])).
% 27.75/18.27 tff(11716,plain,
% 27.75/18.27 (~v130(constB87, 2)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11715, 11711])).
% 27.75/18.27 tff(11717,plain,
% 27.75/18.27 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB87)) | v130(constB87, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB87)) | v130(constB87, 2))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11718,plain,
% 27.75/18.27 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB87)) | v130(constB87, 2))),
% 27.75/18.27 inference(quant_inst,[status(thm)],[])).
% 27.75/18.27 tff(11719,plain,
% 27.75/18.27 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB87)) | v130(constB87, 2)),
% 27.75/18.27 inference(modus_ponens,[status(thm)],[11718, 11717])).
% 27.75/18.27 tff(11720,plain,
% 27.75/18.27 (~v124(constB87)),
% 27.75/18.27 inference(unit_resolution,[status(thm)],[11719, 1873, 11716])).
% 27.75/18.27 tff(11721,plain,
% 27.75/18.27 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB88, 0) | (~v129(constB88, 0)) | (~v100(constB88)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB88, 0) | (~v129(constB88, 0)) | (~v100(constB88)))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11722,plain,
% 27.75/18.27 ((v90(constB88, 0) | (~v100(constB88)) | (~v129(constB88, 0))) <=> (v90(constB88, 0) | (~v129(constB88, 0)) | (~v100(constB88)))),
% 27.75/18.27 inference(rewrite,[status(thm)],[])).
% 27.75/18.27 tff(11723,plain,
% 27.75/18.27 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB88, 0) | (~v100(constB88)) | (~v129(constB88, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB88, 0) | (~v129(constB88, 0)) | (~v100(constB88))))),
% 27.75/18.27 inference(monotonicity,[status(thm)],[11722])).
% 27.75/18.27 tff(11724,plain,
% 27.75/18.27 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB88, 0) | (~v100(constB88)) | (~v129(constB88, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB88, 0) | (~v129(constB88, 0)) | (~v100(constB88)))),
% 27.75/18.28 inference(transitivity,[status(thm)],[11723, 11721])).
% 27.75/18.28 tff(11725,plain,
% 27.75/18.28 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB88, 0) | (~v100(constB88)) | (~v129(constB88, 0)))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11726,plain,
% 27.75/18.28 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB88, 0) | (~v129(constB88, 0)) | (~v100(constB88))),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11725, 11724])).
% 27.75/18.28 tff(11727,plain,
% 27.75/18.28 ((~v129(constB88, 0)) | (~v100(constB88))),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11726, 642, 11639])).
% 27.75/18.28 tff(11728,plain,
% 27.75/18.28 (~v129(constB88, 0)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11727, 11698])).
% 27.75/18.28 tff(11729,plain,
% 27.75/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB87, constB88)) | (~v127(constB87, 0)) | v129(constB88, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB87, constB88)) | (~v127(constB87, 0)) | v129(constB88, 0))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11730,plain,
% 27.75/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB87, constB88)) | (~v127(constB87, 0)) | v129(constB88, 0))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11731,plain,
% 27.75/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB87, constB88)) | (~v127(constB87, 0)) | v129(constB88, 0)),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11730, 11729])).
% 27.75/18.28 tff(11732,plain,
% 27.75/18.28 ((~v127(constB87, 0)) | v129(constB88, 0)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11731, 627, 11357])).
% 27.75/18.28 tff(11733,plain,
% 27.75/18.28 (~v127(constB87, 0)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11732, 11728])).
% 27.75/18.28 tff(11734,plain,
% 27.75/18.28 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB87) | (~v130(constB87, 0)) | v127(constB87, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB87) | (~v130(constB87, 0)) | v127(constB87, 0))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11735,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB87) | (~v130(constB87, 0)) | v127(constB87, 0))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11736,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB87) | (~v130(constB87, 0)) | v127(constB87, 0)),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11735, 11734])).
% 27.75/18.28 tff(11737,plain,
% 27.75/18.28 ((~v130(constB87, 0)) | v127(constB87, 0)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11736, 612, 11642])).
% 27.75/18.28 tff(11738,plain,
% 27.75/18.28 (~v130(constB87, 0)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11737, 11733])).
% 27.75/18.28 tff(11739,plain,
% 27.75/18.28 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB87)) | v130(constB87, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB87)) | v130(constB87, 0))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11740,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB87)) | v130(constB87, 0))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11741,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB87)) | v130(constB87, 0)),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11740, 11739])).
% 27.75/18.28 tff(11742,plain,
% 27.75/18.28 (~v123(constB87)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11741, 1753, 11738])).
% 27.75/18.28 tff(11743,plain,
% 27.75/18.28 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB87)) | v130(constB87, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB87)) | v130(constB87, 2))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11744,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB87)) | v130(constB87, 2))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11745,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB87)) | v130(constB87, 2)),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11744, 11743])).
% 27.75/18.28 tff(11746,plain,
% 27.75/18.28 (~v122(constB87)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11745, 1484, 11716])).
% 27.75/18.28 tff(11747,plain,
% 27.75/18.28 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB87)) | v130(constB87, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB87)) | v130(constB87, 0))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11748,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB87)) | v130(constB87, 0))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11749,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB87)) | v130(constB87, 0)),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11748, 11747])).
% 27.75/18.28 tff(11750,plain,
% 27.75/18.28 (~v121(constB87)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11749, 1099, 11738])).
% 27.75/18.28 tff(11751,plain,
% 27.75/18.28 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB87)) | v130(constB87, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB87)) | v130(constB87, 0))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11752,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB87)) | v130(constB87, 0))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11753,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB87)) | v130(constB87, 0)),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11752, 11751])).
% 27.75/18.28 tff(11754,plain,
% 27.75/18.28 (~v119(constB87)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11753, 598, 11738])).
% 27.75/18.28 tff(11755,plain,
% 27.75/18.28 ((~v129(constB88, 1)) | (~v100(constB88))),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11460, 885, 11640])).
% 27.75/18.28 tff(11756,plain,
% 27.75/18.28 (~v129(constB88, 1)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11755, 11698])).
% 27.75/18.28 tff(11757,plain,
% 27.75/18.28 (~v127(constB87, 1)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11453, 11756])).
% 27.75/18.28 tff(11758,plain,
% 27.75/18.28 ((~v130(constB87, 1)) | v127(constB87, 1)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11447, 855, 11642])).
% 27.75/18.28 tff(11759,plain,
% 27.75/18.28 (~v130(constB87, 1)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11758, 11757])).
% 27.75/18.28 tff(11760,plain,
% 27.75/18.28 (~v120(constB87)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11443, 841, 11759])).
% 27.75/18.28 tff(11761,plain,
% 27.75/18.28 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB87) | v120(constB87) | v121(constB87) | v122(constB87) | v123(constB87) | v124(constB87) | v130(constB87, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB87) | v120(constB87) | v121(constB87) | v122(constB87) | v123(constB87) | v124(constB87) | v130(constB87, 0))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11762,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB87) | v120(constB87) | v121(constB87) | v122(constB87) | v123(constB87) | v124(constB87) | v130(constB87, 0))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11763,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB87) | v120(constB87) | v121(constB87) | v122(constB87) | v123(constB87) | v124(constB87) | v130(constB87, 0)),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11762, 11761])).
% 27.75/18.28 tff(11764,plain,
% 27.75/18.28 (v119(constB87) | v120(constB87) | v121(constB87) | v122(constB87) | v123(constB87) | v124(constB87)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11763, 2258, 11738])).
% 27.75/18.28 tff(11765,plain,
% 27.75/18.28 ($false),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11764, 11760, 11754, 11750, 11746, 11742, 11720])).
% 27.75/18.28 tff(11766,plain,(v26(constB87) | v90(constB88, 1) | v90(constB88, 2) | v90(constB88, 0)), inference(lemma,lemma(discharge,[]))).
% 27.75/18.28 tff(11767,plain,
% 27.75/18.28 (v90(constB88, 1) | v90(constB88, 2) | v90(constB88, 0)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11766, 11342])).
% 27.75/18.28 tff(11768,plain,
% 27.75/18.28 (v90(constB88, 2)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11767, 11640, 11639])).
% 27.75/18.28 tff(11769,plain,
% 27.75/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB88, 1) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB88, 1) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 1)))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11770,plain,
% 27.75/18.28 (((~nextState(constB88, constB89)) | v90(constB88, 1) | v100(constB89) | (~v90(constB89, 1))) <=> (v90(constB88, 1) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 1)))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11771,plain,
% 27.75/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB88, constB89)) | v90(constB88, 1) | v100(constB89) | (~v90(constB89, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB88, 1) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 1))))),
% 27.75/18.28 inference(monotonicity,[status(thm)],[11770])).
% 27.75/18.28 tff(11772,plain,
% 27.75/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB88, constB89)) | v90(constB88, 1) | v100(constB89) | (~v90(constB89, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB88, 1) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 1)))),
% 27.75/18.28 inference(transitivity,[status(thm)],[11771, 11769])).
% 27.75/18.28 tff(11773,plain,
% 27.75/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB88, constB89)) | v90(constB88, 1) | v100(constB89) | (~v90(constB89, 1)))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11774,plain,
% 27.75/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB88, 1) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 1))),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11773, 11772])).
% 27.75/18.28 tff(11775,plain,
% 27.75/18.28 (v90(constB88, 1) | v100(constB89) | (~v90(constB89, 1))),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11774, 191, 11419])).
% 27.75/18.28 tff(11776,plain,
% 27.75/18.28 (v90(constB88, 1) | (~v90(constB89, 1))),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11775, 11431])).
% 27.75/18.28 tff(11777,plain,
% 27.75/18.28 (~v90(constB89, 1)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11776, 11640])).
% 27.75/18.28 tff(11778,assumption,(~v123(constB89)), introduced(assumption)).
% 27.75/18.28 tff(11779,plain,
% 27.75/18.28 (~v90(constB89, 0)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11504, 11639])).
% 27.75/18.28 tff(11780,plain,
% 27.75/18.28 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB89, 0) | v90(constB89, 1) | (~v90(constB89, 2)) | v123(constB89))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB89, 0) | v90(constB89, 1) | (~v90(constB89, 2)) | v123(constB89))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11781,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB89, 0) | v90(constB89, 1) | (~v90(constB89, 2)) | v123(constB89))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11782,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB89, 0) | v90(constB89, 1) | (~v90(constB89, 2)) | v123(constB89)),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11781, 11780])).
% 27.75/18.28 tff(11783,plain,
% 27.75/18.28 (v90(constB89, 1) | (~v90(constB89, 2))),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11782, 1565, 11779, 11778])).
% 27.75/18.28 tff(11784,plain,
% 27.75/18.28 (~v90(constB89, 2)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11783, 11777])).
% 27.75/18.28 tff(11785,plain,
% 27.75/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB88, 2)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB88, 2)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 2))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11786,plain,
% 27.75/18.28 (((~nextState(constB88, constB89)) | (~v90(constB88, 2)) | v100(constB89) | v90(constB89, 2)) <=> ((~v90(constB88, 2)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 2))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11787,plain,
% 27.75/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB88, constB89)) | (~v90(constB88, 2)) | v100(constB89) | v90(constB89, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB88, 2)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 2)))),
% 27.75/18.28 inference(monotonicity,[status(thm)],[11786])).
% 27.75/18.28 tff(11788,plain,
% 27.75/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB88, constB89)) | (~v90(constB88, 2)) | v100(constB89) | v90(constB89, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB88, 2)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 2))),
% 27.75/18.28 inference(transitivity,[status(thm)],[11787, 11785])).
% 27.75/18.28 tff(11789,plain,
% 27.75/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB88, constB89)) | (~v90(constB88, 2)) | v100(constB89) | v90(constB89, 2))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11790,plain,
% 27.75/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB88, 2)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 2)),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11789, 11788])).
% 27.75/18.28 tff(11791,plain,
% 27.75/18.28 ((~v90(constB88, 2)) | v100(constB89) | v90(constB89, 2)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11790, 1546, 11419])).
% 27.75/18.28 tff(11792,plain,
% 27.75/18.28 ((~v90(constB88, 2)) | v90(constB89, 2)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11791, 11431])).
% 27.75/18.28 tff(11793,plain,
% 27.75/18.28 ($false),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11792, 11784, 11768])).
% 27.75/18.28 tff(11794,plain,(v90(constB88, 1) | v123(constB89) | v90(constB88, 0)), inference(lemma,lemma(discharge,[]))).
% 27.75/18.28 tff(11795,plain,
% 27.75/18.28 (v90(constB88, 1)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11794, 11639, 11638])).
% 27.75/18.28 tff(11796,plain,
% 27.75/18.28 (v90(constB89, 1)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11470, 11795])).
% 27.75/18.28 tff(11797,plain,
% 27.75/18.28 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB89)) | (~v90(constB89, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB89)) | (~v90(constB89, 1)))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11798,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB89)) | (~v90(constB89, 1)))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11799,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB89)) | (~v90(constB89, 1))),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11798, 11797])).
% 27.75/18.28 tff(11800,plain,
% 27.75/18.28 (~v119(constB89)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11799, 2086, 11796])).
% 27.75/18.28 tff(11801,assumption,(v90(constB90, 2)), introduced(assumption)).
% 27.75/18.28 tff(11802,assumption,(v90(constB89, 1)), introduced(assumption)).
% 27.75/18.28 tff(11803,assumption,(~v90(constB89, 2)), introduced(assumption)).
% 27.75/18.28 tff(11804,plain,
% 27.75/18.28 ((~v90(constB89, 1)) | v90(constB89, 2) | v121(constB89)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11508, 993, 11531])).
% 27.75/18.28 tff(11805,plain,
% 27.75/18.28 (v121(constB89)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11804, 11803, 11802])).
% 27.75/18.28 tff(11806,plain,
% 27.75/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB89, 2) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB89, 2) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 2)))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11807,plain,
% 27.75/18.28 (((~nextState(constB89, constB90)) | v90(constB89, 2) | v100(constB90) | (~v90(constB90, 2))) <=> (v90(constB89, 2) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 2)))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11808,plain,
% 27.75/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB89, constB90)) | v90(constB89, 2) | v100(constB90) | (~v90(constB90, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB89, 2) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 2))))),
% 27.75/18.28 inference(monotonicity,[status(thm)],[11807])).
% 27.75/18.28 tff(11809,plain,
% 27.75/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB89, constB90)) | v90(constB89, 2) | v100(constB90) | (~v90(constB90, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB89, 2) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 2)))),
% 27.75/18.28 inference(transitivity,[status(thm)],[11808, 11806])).
% 27.75/18.28 tff(11810,plain,
% 27.75/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB89, constB90)) | v90(constB89, 2) | v100(constB90) | (~v90(constB90, 2)))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11811,plain,
% 27.75/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB89, 2) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 2))),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11810, 11809])).
% 27.75/18.28 tff(11812,plain,
% 27.75/18.28 (v90(constB89, 2) | v100(constB90) | (~v90(constB90, 2))),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11811, 170, 11525])).
% 27.75/18.28 tff(11813,plain,
% 27.75/18.28 (v100(constB90)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11812, 11803, 11801])).
% 27.75/18.28 tff(11814,plain,
% 27.75/18.28 (~v129(constB90, 0)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11581, 11813])).
% 27.75/18.28 tff(11815,plain,
% 27.75/18.28 (~v127(constB89, 0)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11573, 11814])).
% 27.75/18.28 tff(11816,plain,
% 27.75/18.28 ((~v130(constB89, 0)) | v127(constB89, 0)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11567, 612, 11517])).
% 27.75/18.28 tff(11817,plain,
% 27.75/18.28 (~v130(constB89, 0)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11816, 11815])).
% 27.75/18.28 tff(11818,plain,
% 27.75/18.28 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB89)) | v130(constB89, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB89)) | v130(constB89, 0))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11819,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB89)) | v130(constB89, 0))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11820,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB89)) | v130(constB89, 0)),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11819, 11818])).
% 27.75/18.28 tff(11821,plain,
% 27.75/18.28 ($false),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11820, 1099, 11817, 11805])).
% 27.75/18.28 tff(11822,plain,(v90(constB89, 2) | v90(constB90, 0) | (~v90(constB89, 1)) | v90(constB89, 0) | (~v90(constB90, 2))), inference(lemma,lemma(discharge,[]))).
% 27.75/18.28 tff(11823,plain,
% 27.75/18.28 (v90(constB89, 2)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11822, 11796, 11550, 11779, 11801])).
% 27.75/18.28 tff(11824,plain,
% 27.75/18.28 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB89)) | (~v90(constB89, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB89)) | (~v90(constB89, 2)))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11825,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB89)) | (~v90(constB89, 2)))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11826,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB89)) | (~v90(constB89, 2))),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11825, 11824])).
% 27.75/18.28 tff(11827,plain,
% 27.75/18.28 (~v121(constB89)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11826, 2130, 11823])).
% 27.75/18.28 tff(11828,plain,
% 27.75/18.28 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB89)) | v90(constB89, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB89)) | v90(constB89, 0))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11829,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB89)) | v90(constB89, 0))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11830,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB89)) | v90(constB89, 0)),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11829, 11828])).
% 27.75/18.28 tff(11831,plain,
% 27.75/18.28 (~v124(constB89)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11830, 4876, 11779])).
% 27.75/18.28 tff(11832,plain,
% 27.75/18.28 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB89)) | v90(constB89, 0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB89)) | v90(constB89, 0))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11833,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB89)) | v90(constB89, 0))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11834,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB89)) | v90(constB89, 0)),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11833, 11832])).
% 27.75/18.28 tff(11835,plain,
% 27.75/18.28 (~v122(constB89)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11834, 3757, 11779])).
% 27.75/18.28 tff(11836,plain,
% 27.75/18.28 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB89)) | v90(constB89, 0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB89)) | v90(constB89, 0))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11837,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB89)) | v90(constB89, 0))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11838,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB89)) | v90(constB89, 0)),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11837, 11836])).
% 27.75/18.28 tff(11839,plain,
% 27.75/18.28 (~v120(constB89)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11838, 5047, 11779])).
% 27.75/18.28 tff(11840,plain,
% 27.75/18.28 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB89) | v120(constB89) | v121(constB89) | v122(constB89) | v123(constB89) | v124(constB89) | v130(constB89, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB89) | v120(constB89) | v121(constB89) | v122(constB89) | v123(constB89) | v124(constB89) | v130(constB89, 0))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11841,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB89) | v120(constB89) | v121(constB89) | v122(constB89) | v123(constB89) | v124(constB89) | v130(constB89, 0))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11842,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB89) | v120(constB89) | v121(constB89) | v122(constB89) | v123(constB89) | v124(constB89) | v130(constB89, 0)),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11841, 11840])).
% 27.75/18.28 tff(11843,plain,
% 27.75/18.28 (v119(constB89) | v121(constB89) | v130(constB89, 0)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11842, 2258, 11638, 11839, 11835, 11831])).
% 27.75/18.28 tff(11844,plain,
% 27.75/18.28 (v130(constB89, 0)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11843, 11827, 11800])).
% 27.75/18.28 tff(11845,plain,
% 27.75/18.28 (v127(constB89, 0)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11816, 11844])).
% 27.75/18.28 tff(11846,plain,
% 27.75/18.28 (v129(constB90, 0)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11573, 11845])).
% 27.75/18.28 tff(11847,assumption,(~v125(constB89)), introduced(assumption)).
% 27.75/18.28 tff(11848,assumption,(v90(constB89, 2)), introduced(assumption)).
% 27.75/18.28 tff(11849,plain,
% 27.75/18.28 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB89, 0) | (~v90(constB89, 1)) | (~v90(constB89, 2)) | v125(constB89))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB89, 0) | (~v90(constB89, 1)) | (~v90(constB89, 2)) | v125(constB89))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11850,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB89, 0) | (~v90(constB89, 1)) | (~v90(constB89, 2)) | v125(constB89))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11851,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB89, 0) | (~v90(constB89, 1)) | (~v90(constB89, 2)) | v125(constB89)),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11850, 11849])).
% 27.75/18.28 tff(11852,plain,
% 27.75/18.28 (v90(constB89, 0) | (~v90(constB89, 1)) | v125(constB89)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11851, 2011, 11848])).
% 27.75/18.28 tff(11853,plain,
% 27.75/18.28 (~v90(constB89, 1)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11852, 11531, 11847])).
% 27.75/18.28 tff(11854,plain,
% 27.75/18.28 (v90(constB89, 0) | v90(constB89, 1) | v123(constB89)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11782, 1565, 11848])).
% 27.75/18.28 tff(11855,plain,
% 27.75/18.28 ($false),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11854, 11853, 11531, 11778])).
% 27.75/18.28 tff(11856,plain,(v90(constB89, 0) | v123(constB89) | (~v90(constB89, 2)) | v125(constB89)), inference(lemma,lemma(discharge,[]))).
% 27.75/18.28 tff(11857,plain,
% 27.75/18.28 (v125(constB89)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11856, 11823, 11638, 11779])).
% 27.75/18.28 tff(11858,plain,
% 27.75/18.28 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB89)) | v113(constB89))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB89)) | v113(constB89))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11859,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB89)) | v113(constB89))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11860,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB89)) | v113(constB89)),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11859, 11858])).
% 27.75/18.28 tff(11861,plain,
% 27.75/18.28 (v113(constB89)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11860, 2022, 11857])).
% 27.75/18.28 tff(11862,assumption,(~v108(constB89)), introduced(assumption)).
% 27.75/18.28 tff(11863,plain,
% 27.75/18.28 (~v112(constB89)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11622, 340, 11862])).
% 27.75/18.28 tff(11864,plain,
% 27.75/18.28 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB89) | (~v26(constB89)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v26(constB89)))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11865,plain,
% 27.75/18.28 (((~v26(constB89)) | v108(constB89)) <=> (v108(constB89) | (~v26(constB89)))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11866,plain,
% 27.75/18.28 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB89)) | v108(constB89))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB89) | (~v26(constB89))))),
% 27.75/18.28 inference(monotonicity,[status(thm)],[11865])).
% 27.75/18.28 tff(11867,plain,
% 27.75/18.28 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB89)) | v108(constB89))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v26(constB89)))),
% 27.75/18.28 inference(transitivity,[status(thm)],[11866, 11864])).
% 27.75/18.28 tff(11868,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB89)) | v108(constB89))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11869,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v26(constB89))),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11868, 11867])).
% 27.75/18.28 tff(11870,plain,
% 27.75/18.28 (~v26(constB89)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11869, 6750, 11862])).
% 27.75/18.28 tff(11871,assumption,(v113(constB89)), introduced(assumption)).
% 27.75/18.28 tff(11872,plain,
% 27.75/18.28 (v26(constB89) | v112(constB89)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11629, 328, 11871])).
% 27.75/18.28 tff(11873,plain,
% 27.75/18.28 ($false),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11872, 11870, 11863])).
% 27.75/18.28 tff(11874,plain,(v108(constB89) | (~v113(constB89))), inference(lemma,lemma(discharge,[]))).
% 27.75/18.28 tff(11875,plain,
% 27.75/18.28 (v108(constB89)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11874, 11861])).
% 27.75/18.28 tff(11876,plain,
% 27.75/18.28 (v110(constB90)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11615, 11875])).
% 27.75/18.28 tff(11877,plain,
% 27.75/18.28 (v100(constB90)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11607, 11876])).
% 27.75/18.28 tff(11878,plain,
% 27.75/18.28 ($false),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11581, 11877, 11846])).
% 27.75/18.28 tff(11879,plain,(v90(constB88, 0) | v90(constB90, 0) | (~v90(constB90, 2))), inference(lemma,lemma(discharge,[]))).
% 27.75/18.28 tff(11880,plain,
% 27.75/18.28 (~v90(constB90, 2)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11879, 11540, 11549])).
% 27.75/18.28 tff(11881,plain,
% 27.75/18.28 (~v110(constB90)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11607, 11532])).
% 27.75/18.28 tff(11882,plain,
% 27.75/18.28 (~v108(constB89)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11615, 11881])).
% 27.75/18.28 tff(11883,assumption,(~v90(constB90, 2)), introduced(assumption)).
% 27.75/18.28 tff(11884,plain,
% 27.75/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB89, 2)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB89, 2)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, 2))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11885,plain,
% 27.75/18.28 (((~nextState(constB89, constB90)) | (~v90(constB89, 2)) | v100(constB90) | v90(constB90, 2)) <=> ((~v90(constB89, 2)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, 2))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11886,plain,
% 27.75/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB89, constB90)) | (~v90(constB89, 2)) | v100(constB90) | v90(constB90, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB89, 2)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, 2)))),
% 27.75/18.28 inference(monotonicity,[status(thm)],[11885])).
% 27.75/18.28 tff(11887,plain,
% 27.75/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB89, constB90)) | (~v90(constB89, 2)) | v100(constB90) | v90(constB90, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB89, 2)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, 2))),
% 27.75/18.28 inference(transitivity,[status(thm)],[11886, 11884])).
% 27.75/18.28 tff(11888,plain,
% 27.75/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB89, constB90)) | (~v90(constB89, 2)) | v100(constB90) | v90(constB90, 2))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11889,plain,
% 27.75/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB89, 2)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, 2)),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11888, 11887])).
% 27.75/18.28 tff(11890,plain,
% 27.75/18.28 ((~v90(constB89, 2)) | v100(constB90) | v90(constB90, 2)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11889, 1546, 11525])).
% 27.75/18.28 tff(11891,plain,
% 27.75/18.28 (~v90(constB89, 2)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11890, 11532, 11883])).
% 27.75/18.28 tff(11892,plain,
% 27.75/18.28 (v121(constB89)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11804, 11891, 11802])).
% 27.75/18.28 tff(11893,plain,
% 27.75/18.28 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB89)) | v117(constB89))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB89)) | v117(constB89))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11894,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB89)) | v117(constB89))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11895,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB89)) | v117(constB89)),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11894, 11893])).
% 27.75/18.28 tff(11896,plain,
% 27.75/18.28 (v117(constB89)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11895, 1004, 11892])).
% 27.75/18.28 tff(11897,plain,
% 27.75/18.28 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB89) | (~v117(constB89)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB89) | (~v117(constB89)))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11898,plain,
% 27.75/18.28 (((~v117(constB89)) | v116(constB89)) <=> (v116(constB89) | (~v117(constB89)))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11899,plain,
% 27.75/18.28 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB89)) | v116(constB89))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB89) | (~v117(constB89))))),
% 27.75/18.28 inference(monotonicity,[status(thm)],[11898])).
% 27.75/18.28 tff(11900,plain,
% 27.75/18.28 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB89)) | v116(constB89))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB89) | (~v117(constB89)))),
% 27.75/18.28 inference(transitivity,[status(thm)],[11899, 11897])).
% 27.75/18.28 tff(11901,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB89)) | v116(constB89))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11902,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB89) | (~v117(constB89))),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11901, 11900])).
% 27.75/18.28 tff(11903,plain,
% 27.75/18.28 (v116(constB89)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11902, 272, 11896])).
% 27.75/18.28 tff(11904,plain,
% 27.75/18.28 (~v113(constB89)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11874, 11882])).
% 27.75/18.28 tff(11905,plain,
% 27.75/18.28 (~v114(constB89)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11634, 314, 11904])).
% 27.75/18.28 tff(11906,plain,
% 27.75/18.28 (~v115(constB89)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11558, 300, 11905])).
% 27.75/18.28 tff(11907,plain,
% 27.75/18.28 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB89) | (~v116(constB89)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB89) | (~v116(constB89)))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11908,plain,
% 27.75/18.28 (((~v116(constB89)) | v115(constB89)) <=> (v115(constB89) | (~v116(constB89)))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11909,plain,
% 27.75/18.28 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB89)) | v115(constB89))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB89) | (~v116(constB89))))),
% 27.75/18.28 inference(monotonicity,[status(thm)],[11908])).
% 27.75/18.28 tff(11910,plain,
% 27.75/18.28 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB89)) | v115(constB89))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB89) | (~v116(constB89)))),
% 27.75/18.28 inference(transitivity,[status(thm)],[11909, 11907])).
% 27.75/18.28 tff(11911,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB89)) | v115(constB89))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11912,plain,
% 27.75/18.28 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB89) | (~v116(constB89))),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11911, 11910])).
% 27.75/18.28 tff(11913,plain,
% 27.75/18.28 ($false),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11912, 286, 11906, 11903])).
% 27.75/18.28 tff(11914,plain,(v100(constB90) | (~v90(constB89, 1)) | v90(constB89, 0) | v90(constB90, 2)), inference(lemma,lemma(discharge,[]))).
% 27.75/18.28 tff(11915,plain,
% 27.75/18.28 (v90(constB90, 2)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11914, 11532, 11531, 11802])).
% 27.75/18.28 tff(11916,plain,
% 27.75/18.28 ($false),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11879, 11915, 11540, 11549])).
% 27.75/18.28 tff(11917,plain,(v100(constB90) | v90(constB89, 0) | (~v90(constB89, 1))), inference(lemma,lemma(discharge,[]))).
% 27.75/18.28 tff(11918,plain,
% 27.75/18.28 (~v90(constB89, 1)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11917, 11532, 11531])).
% 27.75/18.28 tff(11919,plain,
% 27.75/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB89, 1) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB89, 1) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 1)))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11920,plain,
% 27.75/18.28 (((~nextState(constB89, constB90)) | v90(constB89, 1) | v100(constB90) | (~v90(constB90, 1))) <=> (v90(constB89, 1) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 1)))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11921,plain,
% 27.75/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB89, constB90)) | v90(constB89, 1) | v100(constB90) | (~v90(constB90, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB89, 1) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 1))))),
% 27.75/18.28 inference(monotonicity,[status(thm)],[11920])).
% 27.75/18.28 tff(11922,plain,
% 27.75/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB89, constB90)) | v90(constB89, 1) | v100(constB90) | (~v90(constB90, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB89, 1) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 1)))),
% 27.75/18.28 inference(transitivity,[status(thm)],[11921, 11919])).
% 27.75/18.28 tff(11923,plain,
% 27.75/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB89, constB90)) | v90(constB89, 1) | v100(constB90) | (~v90(constB90, 1)))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11924,plain,
% 27.75/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB89, 1) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 1))),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11923, 11922])).
% 27.75/18.28 tff(11925,plain,
% 27.75/18.28 (v90(constB89, 1) | v100(constB90) | (~v90(constB90, 1))),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11924, 191, 11525])).
% 27.75/18.28 tff(11926,plain,
% 27.75/18.28 (~v90(constB90, 1)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11925, 11918, 11532])).
% 27.75/18.28 tff(11927,plain,
% 27.75/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB89, constB90)) | (~v110(constB90)) | v108(constB89))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB89, constB90)) | (~v110(constB90)) | v108(constB89))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11928,plain,
% 27.75/18.28 (((~nextState(constB89, constB90)) | v108(constB89) | (~v110(constB90))) <=> ((~nextState(constB89, constB90)) | (~v110(constB90)) | v108(constB89))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11929,plain,
% 27.75/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB89, constB90)) | v108(constB89) | (~v110(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB89, constB90)) | (~v110(constB90)) | v108(constB89)))),
% 27.75/18.28 inference(monotonicity,[status(thm)],[11928])).
% 27.75/18.28 tff(11930,plain,
% 27.75/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB89, constB90)) | v108(constB89) | (~v110(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB89, constB90)) | (~v110(constB90)) | v108(constB89))),
% 27.75/18.28 inference(transitivity,[status(thm)],[11929, 11927])).
% 27.75/18.28 tff(11931,plain,
% 27.75/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB89, constB90)) | v108(constB89) | (~v110(constB90)))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11932,plain,
% 27.75/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB89, constB90)) | (~v110(constB90)) | v108(constB89)),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11931, 11930])).
% 27.75/18.28 tff(11933,plain,
% 27.75/18.28 ((~v110(constB90)) | v108(constB89)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11932, 4642, 11525])).
% 27.75/18.28 tff(11934,plain,
% 27.75/18.28 (~v110(constB90)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11933, 11862])).
% 27.75/18.28 tff(11935,plain,
% 27.75/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB89, constB90)) | v110(constB90) | (~v100(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v100(constB90)))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11936,plain,
% 27.75/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB89, constB90)) | v110(constB90) | (~v100(constB90)))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11937,plain,
% 27.75/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v100(constB90))),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11936, 11935])).
% 27.75/18.28 tff(11938,plain,
% 27.75/18.28 (v110(constB90) | (~v100(constB90))),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11937, 4627, 11525])).
% 27.75/18.28 tff(11939,plain,
% 27.75/18.28 (~v100(constB90)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11938, 11934])).
% 27.75/18.28 tff(11940,plain,
% 27.75/18.28 (~v90(constB89, 2)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11890, 11939, 11883])).
% 27.75/18.28 tff(11941,assumption,(~v90(constB90, 1)), introduced(assumption)).
% 27.75/18.28 tff(11942,plain,
% 27.75/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB89, 1)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB89, 1)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, 1))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11943,plain,
% 27.75/18.28 (((~nextState(constB89, constB90)) | (~v90(constB89, 1)) | v100(constB90) | v90(constB90, 1)) <=> ((~v90(constB89, 1)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, 1))),
% 27.75/18.28 inference(rewrite,[status(thm)],[])).
% 27.75/18.28 tff(11944,plain,
% 27.75/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB89, constB90)) | (~v90(constB89, 1)) | v100(constB90) | v90(constB90, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB89, 1)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, 1)))),
% 27.75/18.28 inference(monotonicity,[status(thm)],[11943])).
% 27.75/18.28 tff(11945,plain,
% 27.75/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB89, constB90)) | (~v90(constB89, 1)) | v100(constB90) | v90(constB90, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB89, 1)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, 1))),
% 27.75/18.28 inference(transitivity,[status(thm)],[11944, 11942])).
% 27.75/18.28 tff(11946,plain,
% 27.75/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB89, constB90)) | (~v90(constB89, 1)) | v100(constB90) | v90(constB90, 1))),
% 27.75/18.28 inference(quant_inst,[status(thm)],[])).
% 27.75/18.28 tff(11947,plain,
% 27.75/18.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB89, 1)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, 1)),
% 27.75/18.28 inference(modus_ponens,[status(thm)],[11946, 11945])).
% 27.75/18.28 tff(11948,plain,
% 27.75/18.28 ((~v90(constB89, 1)) | v100(constB90) | v90(constB90, 1)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11947, 903, 11525])).
% 27.75/18.28 tff(11949,plain,
% 27.75/18.28 (~v90(constB89, 1)),
% 27.75/18.28 inference(unit_resolution,[status(thm)],[11948, 11939, 11941])).
% 27.75/18.28 tff(11950,plain,
% 27.75/18.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB89, 0)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB89, 0)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, 0))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(11951,plain,
% 27.75/18.29 (((~nextState(constB89, constB90)) | (~v90(constB89, 0)) | v100(constB90) | v90(constB90, 0)) <=> ((~v90(constB89, 0)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, 0))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(11952,plain,
% 27.75/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB89, constB90)) | (~v90(constB89, 0)) | v100(constB90) | v90(constB90, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB89, 0)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, 0)))),
% 27.75/18.29 inference(monotonicity,[status(thm)],[11951])).
% 27.75/18.29 tff(11953,plain,
% 27.75/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB89, constB90)) | (~v90(constB89, 0)) | v100(constB90) | v90(constB90, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB89, 0)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, 0))),
% 27.75/18.29 inference(transitivity,[status(thm)],[11952, 11950])).
% 27.75/18.29 tff(11954,plain,
% 27.75/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB89, constB90)) | (~v90(constB89, 0)) | v100(constB90) | v90(constB90, 0))),
% 27.75/18.29 inference(quant_inst,[status(thm)],[])).
% 27.75/18.29 tff(11955,plain,
% 27.75/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB89, 0)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, 0)),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[11954, 11953])).
% 27.75/18.29 tff(11956,plain,
% 27.75/18.29 ((~v90(constB89, 0)) | v100(constB90) | v90(constB90, 0)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[11955, 660, 11525])).
% 27.75/18.29 tff(11957,plain,
% 27.75/18.29 (~v90(constB89, 0)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[11956, 11939, 11550])).
% 27.75/18.29 tff(11958,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB89, 0) | v90(constB89, 1) | v90(constB89, 2) | v119(constB89))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB89, 0) | v90(constB89, 1) | v90(constB89, 2) | v119(constB89))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(11959,plain,
% 27.75/18.29 ((v90(constB89, 0) | v119(constB89) | v90(constB89, 1) | v90(constB89, 2)) <=> (v90(constB89, 0) | v90(constB89, 1) | v90(constB89, 2) | v119(constB89))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(11960,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB89, 0) | v119(constB89) | v90(constB89, 1) | v90(constB89, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB89, 0) | v90(constB89, 1) | v90(constB89, 2) | v119(constB89)))),
% 27.75/18.29 inference(monotonicity,[status(thm)],[11959])).
% 27.75/18.29 tff(11961,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB89, 0) | v119(constB89) | v90(constB89, 1) | v90(constB89, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB89, 0) | v90(constB89, 1) | v90(constB89, 2) | v119(constB89))),
% 27.75/18.29 inference(transitivity,[status(thm)],[11960, 11958])).
% 27.75/18.29 tff(11962,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB89, 0) | v119(constB89) | v90(constB89, 1) | v90(constB89, 2))),
% 27.75/18.29 inference(quant_inst,[status(thm)],[])).
% 27.75/18.29 tff(11963,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB89, 0) | v90(constB89, 1) | v90(constB89, 2) | v119(constB89)),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[11962, 11961])).
% 27.75/18.29 tff(11964,plain,
% 27.75/18.29 (v119(constB89)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[11963, 233, 11957, 11949, 11940])).
% 27.75/18.29 tff(11965,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB89)) | v118(constB89))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB89)) | v118(constB89))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(11966,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB89)) | v118(constB89))),
% 27.75/18.29 inference(quant_inst,[status(thm)],[])).
% 27.75/18.29 tff(11967,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB89)) | v118(constB89)),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[11966, 11965])).
% 27.75/18.29 tff(11968,plain,
% 27.75/18.29 (v118(constB89)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[11967, 247, 11964])).
% 27.75/18.29 tff(11969,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB89) | (~v118(constB89)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB89) | (~v118(constB89)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(11970,plain,
% 27.75/18.29 (((~v118(constB89)) | v117(constB89)) <=> (v117(constB89) | (~v118(constB89)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(11971,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB89)) | v117(constB89))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB89) | (~v118(constB89))))),
% 27.75/18.29 inference(monotonicity,[status(thm)],[11970])).
% 27.75/18.29 tff(11972,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB89)) | v117(constB89))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB89) | (~v118(constB89)))),
% 27.75/18.29 inference(transitivity,[status(thm)],[11971, 11969])).
% 27.75/18.29 tff(11973,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB89)) | v117(constB89))),
% 27.75/18.29 inference(quant_inst,[status(thm)],[])).
% 27.75/18.29 tff(11974,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB89) | (~v118(constB89))),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[11973, 11972])).
% 27.75/18.29 tff(11975,plain,
% 27.75/18.29 (v117(constB89)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[11974, 258, 11968])).
% 27.75/18.29 tff(11976,plain,
% 27.75/18.29 (v116(constB89)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[11902, 272, 11975])).
% 27.75/18.29 tff(11977,plain,
% 27.75/18.29 (~v113(constB89)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[11874, 11862])).
% 27.75/18.29 tff(11978,plain,
% 27.75/18.29 (~v114(constB89)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[11634, 314, 11977])).
% 27.75/18.29 tff(11979,plain,
% 27.75/18.29 (~v115(constB89)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[11558, 300, 11978])).
% 27.75/18.29 tff(11980,plain,
% 27.75/18.29 ($false),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[11912, 286, 11979, 11976])).
% 27.75/18.29 tff(11981,plain,(v108(constB89) | v90(constB90, 0) | v90(constB90, 1) | v90(constB90, 2)), inference(lemma,lemma(discharge,[]))).
% 27.75/18.29 tff(11982,plain,
% 27.75/18.29 ($false),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[11981, 11926, 11882, 11880, 11540])).
% 27.75/18.29 tff(11983,plain,(v100(constB90) | v90(constB89, 0)), inference(lemma,lemma(discharge,[]))).
% 27.75/18.29 tff(11984,plain,
% 27.75/18.29 (v100(constB90)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[11983, 11505])).
% 27.75/18.29 tff(11985,plain,
% 27.75/18.29 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB90, 1) | (~v129(constB90, 1)) | (~v100(constB90)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB90, 1) | (~v129(constB90, 1)) | (~v100(constB90)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(11986,plain,
% 27.75/18.29 ((v90(constB90, 1) | (~v100(constB90)) | (~v129(constB90, 1))) <=> (v90(constB90, 1) | (~v129(constB90, 1)) | (~v100(constB90)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(11987,plain,
% 27.75/18.29 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB90, 1) | (~v100(constB90)) | (~v129(constB90, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB90, 1) | (~v129(constB90, 1)) | (~v100(constB90))))),
% 27.75/18.29 inference(monotonicity,[status(thm)],[11986])).
% 27.75/18.29 tff(11988,plain,
% 27.75/18.29 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB90, 1) | (~v100(constB90)) | (~v129(constB90, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB90, 1) | (~v129(constB90, 1)) | (~v100(constB90)))),
% 27.75/18.29 inference(transitivity,[status(thm)],[11987, 11985])).
% 27.75/18.29 tff(11989,plain,
% 27.75/18.29 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB90, 1) | (~v100(constB90)) | (~v129(constB90, 1)))),
% 27.75/18.29 inference(quant_inst,[status(thm)],[])).
% 27.75/18.29 tff(11990,plain,
% 27.75/18.29 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB90, 1) | (~v129(constB90, 1)) | (~v100(constB90))),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[11989, 11988])).
% 27.75/18.29 tff(11991,plain,
% 27.75/18.29 (v90(constB90, 1) | (~v129(constB90, 1))),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[11990, 885, 11984])).
% 27.75/18.29 tff(11992,plain,
% 27.75/18.29 (v90(constB90, 1)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[11991, 11530])).
% 27.75/18.29 tff(11993,plain,
% 27.75/18.29 ((~v1(constB91)) <=> (~v1(constB91))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(11994,axiom,(~v1(constB91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_91_1_1')).
% 27.75/18.29 tff(11995,plain,
% 27.75/18.29 (~v1(constB91)),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[11994, 11993])).
% 27.75/18.29 tff(11996,plain,
% 27.75/18.29 (nextState(constB90, constB91) <=> nextState(constB90, constB91)),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(11997,axiom,(nextState(constB90, constB91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_90_1')).
% 27.75/18.29 tff(11998,plain,
% 27.75/18.29 (nextState(constB90, constB91)),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[11997, 11996])).
% 27.75/18.29 tff(11999,plain,
% 27.75/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12000,plain,
% 27.75/18.29 (((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91)) <=> (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12001,plain,
% 27.75/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91))))),
% 27.75/18.29 inference(monotonicity,[status(thm)],[12000])).
% 27.75/18.29 tff(12002,plain,
% 27.75/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 27.75/18.29 inference(transitivity,[status(thm)],[12001, 11999])).
% 27.75/18.29 tff(12003,plain,
% 27.75/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))),
% 27.75/18.29 inference(quant_inst,[status(thm)],[])).
% 27.75/18.29 tff(12004,plain,
% 27.75/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91))),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[12003, 12002])).
% 27.75/18.29 tff(12005,plain,
% 27.75/18.29 (~v101(constB91)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12004, 138, 11998, 11995])).
% 27.75/18.29 tff(12006,plain,
% 27.75/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12007,plain,
% 27.75/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))),
% 27.75/18.29 inference(quant_inst,[status(thm)],[])).
% 27.75/18.29 tff(12008,plain,
% 27.75/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91))),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[12007, 12006])).
% 27.75/18.29 tff(12009,plain,
% 27.75/18.29 (v101(constB91) | (~v100(constB91))),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12008, 155, 11998])).
% 27.75/18.29 tff(12010,plain,
% 27.75/18.29 (~v100(constB91)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12009, 12005])).
% 27.75/18.29 tff(12011,plain,
% 27.75/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB90, 1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB90, 1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 1))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12012,plain,
% 27.75/18.29 (((~nextState(constB90, constB91)) | (~v90(constB90, 1)) | v100(constB91) | v90(constB91, 1)) <=> ((~v90(constB90, 1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 1))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12013,plain,
% 27.75/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, 1)) | v100(constB91) | v90(constB91, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB90, 1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 1)))),
% 27.75/18.29 inference(monotonicity,[status(thm)],[12012])).
% 27.75/18.29 tff(12014,plain,
% 27.75/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, 1)) | v100(constB91) | v90(constB91, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB90, 1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 1))),
% 27.75/18.29 inference(transitivity,[status(thm)],[12013, 12011])).
% 27.75/18.29 tff(12015,plain,
% 27.75/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, 1)) | v100(constB91) | v90(constB91, 1))),
% 27.75/18.29 inference(quant_inst,[status(thm)],[])).
% 27.75/18.29 tff(12016,plain,
% 27.75/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB90, 1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 1)),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[12015, 12014])).
% 27.75/18.29 tff(12017,plain,
% 27.75/18.29 ((~v90(constB90, 1)) | v100(constB91) | v90(constB91, 1)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12016, 903, 11998])).
% 27.75/18.29 tff(12018,plain,
% 27.75/18.29 ((~v90(constB90, 1)) | v90(constB91, 1)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12017, 12010])).
% 27.75/18.29 tff(12019,plain,
% 27.75/18.29 (v90(constB91, 1)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12018, 11992])).
% 27.75/18.29 tff(12020,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB89)) | (~v130(constB89, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB89)) | (~v130(constB89, 2)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12021,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB89)) | (~v130(constB89, 2)))),
% 27.75/18.29 inference(quant_inst,[status(thm)],[])).
% 27.75/18.29 tff(12022,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB89)) | (~v130(constB89, 2))),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[12021, 12020])).
% 27.75/18.29 tff(12023,plain,
% 27.75/18.29 (~v130(constB89, 2)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12022, 1155, 11509])).
% 27.75/18.29 tff(12024,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB89, 2)) | v26(constB89) | v130(constB89, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB89, 2)) | v26(constB89) | v130(constB89, 2))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12025,plain,
% 27.75/18.29 ((v26(constB89) | v130(constB89, 2) | (~v127(constB89, 2))) <=> ((~v127(constB89, 2)) | v26(constB89) | v130(constB89, 2))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12026,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB89) | v130(constB89, 2) | (~v127(constB89, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB89, 2)) | v26(constB89) | v130(constB89, 2)))),
% 27.75/18.29 inference(monotonicity,[status(thm)],[12025])).
% 27.75/18.29 tff(12027,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB89) | v130(constB89, 2) | (~v127(constB89, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB89, 2)) | v26(constB89) | v130(constB89, 2))),
% 27.75/18.29 inference(transitivity,[status(thm)],[12026, 12024])).
% 27.75/18.29 tff(12028,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB89) | v130(constB89, 2) | (~v127(constB89, 2)))),
% 27.75/18.29 inference(quant_inst,[status(thm)],[])).
% 27.75/18.29 tff(12029,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB89, 2)) | v26(constB89) | v130(constB89, 2)),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[12028, 12027])).
% 27.75/18.29 tff(12030,plain,
% 27.75/18.29 ((~v127(constB89, 2)) | v130(constB89, 2)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12029, 455, 11517])).
% 27.75/18.29 tff(12031,plain,
% 27.75/18.29 (~v127(constB89, 2)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12030, 12023])).
% 27.75/18.29 tff(12032,plain,
% 27.75/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB89, constB90)) | v127(constB89, 2) | (~v129(constB90, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB89, constB90)) | v127(constB89, 2) | (~v129(constB90, 2)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12033,plain,
% 27.75/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB89, constB90)) | v127(constB89, 2) | (~v129(constB90, 2)))),
% 27.75/18.29 inference(quant_inst,[status(thm)],[])).
% 27.75/18.29 tff(12034,plain,
% 27.75/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB89, constB90)) | v127(constB89, 2) | (~v129(constB90, 2))),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[12033, 12032])).
% 27.75/18.29 tff(12035,plain,
% 27.75/18.29 (v127(constB89, 2) | (~v129(constB90, 2))),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12034, 473, 11525])).
% 27.75/18.29 tff(12036,plain,
% 27.75/18.29 (~v129(constB90, 2)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12035, 12031])).
% 27.75/18.29 tff(12037,plain,
% 27.75/18.29 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB90, 2)) | v129(constB90, 2) | (~v100(constB90)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB90, 2)) | v129(constB90, 2) | (~v100(constB90)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12038,plain,
% 27.75/18.29 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB90, 2)) | v129(constB90, 2) | (~v100(constB90)))),
% 27.75/18.29 inference(quant_inst,[status(thm)],[])).
% 27.75/18.29 tff(12039,plain,
% 27.75/18.29 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB90, 2)) | v129(constB90, 2) | (~v100(constB90))),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[12038, 12037])).
% 27.75/18.29 tff(12040,plain,
% 27.75/18.29 ((~v90(constB90, 2)) | v129(constB90, 2)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12039, 488, 11984])).
% 27.75/18.29 tff(12041,plain,
% 27.75/18.29 (~v90(constB90, 2)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12040, 12036])).
% 27.75/18.29 tff(12042,plain,
% 27.75/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB90, 2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB90, 2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 2)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12043,plain,
% 27.75/18.29 (((~nextState(constB90, constB91)) | v90(constB90, 2) | v100(constB91) | (~v90(constB91, 2))) <=> (v90(constB90, 2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 2)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12044,plain,
% 27.75/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB90, constB91)) | v90(constB90, 2) | v100(constB91) | (~v90(constB91, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB90, 2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 2))))),
% 27.75/18.29 inference(monotonicity,[status(thm)],[12043])).
% 27.75/18.29 tff(12045,plain,
% 27.75/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB90, constB91)) | v90(constB90, 2) | v100(constB91) | (~v90(constB91, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB90, 2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 2)))),
% 27.75/18.29 inference(transitivity,[status(thm)],[12044, 12042])).
% 27.75/18.29 tff(12046,plain,
% 27.75/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB90, constB91)) | v90(constB90, 2) | v100(constB91) | (~v90(constB91, 2)))),
% 27.75/18.29 inference(quant_inst,[status(thm)],[])).
% 27.75/18.29 tff(12047,plain,
% 27.75/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB90, 2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 2))),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[12046, 12045])).
% 27.75/18.29 tff(12048,plain,
% 27.75/18.29 (v90(constB90, 2) | v100(constB91) | (~v90(constB91, 2))),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12047, 170, 11998])).
% 27.75/18.29 tff(12049,plain,
% 27.75/18.29 (v90(constB90, 2) | (~v90(constB91, 2))),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12048, 12010])).
% 27.75/18.29 tff(12050,plain,
% 27.75/18.29 (~v90(constB91, 2)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12049, 12041])).
% 27.75/18.29 tff(12051,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB89)) | (~v90(constB89, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB89)) | (~v90(constB89, 1)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12052,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB89)) | (~v90(constB89, 1)))),
% 27.75/18.29 inference(quant_inst,[status(thm)],[])).
% 27.75/18.29 tff(12053,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB89)) | (~v90(constB89, 1))),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[12052, 12051])).
% 27.75/18.29 tff(12054,plain,
% 27.75/18.29 (~v123(constB89)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12053, 2108, 11471])).
% 27.75/18.29 tff(12055,plain,
% 27.75/18.29 (~v119(constB89)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[11799, 2086, 11471])).
% 27.75/18.29 tff(12056,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB89)) | (~v90(constB89, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB89)) | (~v90(constB89, 1)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12057,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB89)) | (~v90(constB89, 1)))),
% 27.75/18.29 inference(quant_inst,[status(thm)],[])).
% 27.75/18.29 tff(12058,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB89)) | (~v90(constB89, 1))),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[12057, 12056])).
% 27.75/18.29 tff(12059,plain,
% 27.75/18.29 (~v120(constB89)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12058, 2141, 11471])).
% 27.75/18.29 tff(12060,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB89)) | (~v90(constB89, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB89)) | (~v90(constB89, 1)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12061,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB89)) | (~v90(constB89, 1)))),
% 27.75/18.29 inference(quant_inst,[status(thm)],[])).
% 27.75/18.29 tff(12062,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB89)) | (~v90(constB89, 1))),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[12061, 12060])).
% 27.75/18.29 tff(12063,plain,
% 27.75/18.29 (~v124(constB89)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12062, 2097, 11471])).
% 27.75/18.29 tff(12064,plain,
% 27.75/18.29 (~v122(constB89)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[11834, 3757, 11505])).
% 27.75/18.29 tff(12065,assumption,(~v119(constB89)), introduced(assumption)).
% 27.75/18.29 tff(12066,assumption,(~v130(constB89, 0)), introduced(assumption)).
% 27.75/18.29 tff(12067,assumption,(~v124(constB89)), introduced(assumption)).
% 27.75/18.29 tff(12068,assumption,(~v122(constB89)), introduced(assumption)).
% 27.75/18.29 tff(12069,assumption,(~v120(constB89)), introduced(assumption)).
% 27.75/18.29 tff(12070,plain,
% 27.75/18.29 (v119(constB89) | v121(constB89) | v123(constB89) | v130(constB89, 0)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[11842, 2258, 12069, 12068, 12067])).
% 27.75/18.29 tff(12071,plain,
% 27.75/18.29 (v121(constB89)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12070, 12066, 11778, 12065])).
% 27.75/18.29 tff(12072,plain,
% 27.75/18.29 ($false),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[11820, 1099, 12066, 12071])).
% 27.75/18.29 tff(12073,plain,(v130(constB89, 0) | v123(constB89) | v119(constB89) | v120(constB89) | v122(constB89) | v124(constB89)), inference(lemma,lemma(discharge,[]))).
% 27.75/18.29 tff(12074,plain,
% 27.75/18.29 (v130(constB89, 0)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12073, 12064, 12063, 12059, 12055, 12054])).
% 27.75/18.29 tff(12075,plain,
% 27.75/18.29 (v127(constB89, 0)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[11816, 12074])).
% 27.75/18.29 tff(12076,plain,
% 27.75/18.29 (v129(constB90, 0)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[11573, 12075])).
% 27.75/18.29 tff(12077,plain,
% 27.75/18.29 (v90(constB90, 0) | (~v129(constB90, 0))),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[11580, 642, 11984])).
% 27.75/18.29 tff(12078,plain,
% 27.75/18.29 (v90(constB90, 0)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12077, 12076])).
% 27.75/18.29 tff(12079,plain,
% 27.75/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB90, 0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB90, 0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 0))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12080,plain,
% 27.75/18.29 (((~nextState(constB90, constB91)) | (~v90(constB90, 0)) | v100(constB91) | v90(constB91, 0)) <=> ((~v90(constB90, 0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 0))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12081,plain,
% 27.75/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, 0)) | v100(constB91) | v90(constB91, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB90, 0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 0)))),
% 27.75/18.29 inference(monotonicity,[status(thm)],[12080])).
% 27.75/18.29 tff(12082,plain,
% 27.75/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, 0)) | v100(constB91) | v90(constB91, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB90, 0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 0))),
% 27.75/18.29 inference(transitivity,[status(thm)],[12081, 12079])).
% 27.75/18.29 tff(12083,plain,
% 27.75/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, 0)) | v100(constB91) | v90(constB91, 0))),
% 27.75/18.29 inference(quant_inst,[status(thm)],[])).
% 27.75/18.29 tff(12084,plain,
% 27.75/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB90, 0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 0)),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[12083, 12082])).
% 27.75/18.29 tff(12085,plain,
% 27.75/18.29 ((~v90(constB90, 0)) | v100(constB91) | v90(constB91, 0)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12084, 660, 11998])).
% 27.75/18.29 tff(12086,plain,
% 27.75/18.29 ((~v90(constB90, 0)) | v90(constB91, 0)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12085, 12010])).
% 27.75/18.29 tff(12087,plain,
% 27.75/18.29 (v90(constB91, 0)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12086, 12078])).
% 27.75/18.29 tff(12088,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB91, 0)) | (~v90(constB91, 1)) | v90(constB91, 2) | v122(constB91))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB91, 0)) | (~v90(constB91, 1)) | v90(constB91, 2) | v122(constB91))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12089,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB91, 0)) | (~v90(constB91, 1)) | v90(constB91, 2) | v122(constB91))),
% 27.75/18.29 inference(quant_inst,[status(thm)],[])).
% 27.75/18.29 tff(12090,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB91, 0)) | (~v90(constB91, 1)) | v90(constB91, 2) | v122(constB91)),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[12089, 12088])).
% 27.75/18.29 tff(12091,plain,
% 27.75/18.29 ((~v90(constB91, 1)) | v90(constB91, 2) | v122(constB91)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12090, 1260, 12087])).
% 27.75/18.29 tff(12092,plain,
% 27.75/18.29 (v122(constB91)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12091, 12050, 12019])).
% 27.75/18.29 tff(12093,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB91) | (~v122(constB91)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB91) | (~v122(constB91)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12094,plain,
% 27.75/18.29 (((~v122(constB91)) | v116(constB91)) <=> (v116(constB91) | (~v122(constB91)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12095,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB91)) | v116(constB91))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB91) | (~v122(constB91))))),
% 27.75/18.29 inference(monotonicity,[status(thm)],[12094])).
% 27.75/18.29 tff(12096,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB91)) | v116(constB91))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB91) | (~v122(constB91)))),
% 27.75/18.29 inference(transitivity,[status(thm)],[12095, 12093])).
% 27.75/18.29 tff(12097,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB91)) | v116(constB91))),
% 27.75/18.29 inference(quant_inst,[status(thm)],[])).
% 27.75/18.29 tff(12098,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB91) | (~v122(constB91))),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[12097, 12096])).
% 27.75/18.29 tff(12099,plain,
% 27.75/18.29 (v116(constB91)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12098, 1272, 12092])).
% 27.75/18.29 tff(12100,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB91) | (~v116(constB91)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB91) | (~v116(constB91)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12101,plain,
% 27.75/18.29 (((~v116(constB91)) | v115(constB91)) <=> (v115(constB91) | (~v116(constB91)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12102,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB91)) | v115(constB91))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB91) | (~v116(constB91))))),
% 27.75/18.29 inference(monotonicity,[status(thm)],[12101])).
% 27.75/18.29 tff(12103,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB91)) | v115(constB91))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB91) | (~v116(constB91)))),
% 27.75/18.29 inference(transitivity,[status(thm)],[12102, 12100])).
% 27.75/18.29 tff(12104,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB91)) | v115(constB91))),
% 27.75/18.29 inference(quant_inst,[status(thm)],[])).
% 27.75/18.29 tff(12105,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB91) | (~v116(constB91))),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[12104, 12103])).
% 27.75/18.29 tff(12106,plain,
% 27.75/18.29 (v115(constB91)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12105, 286, 12099])).
% 27.75/18.29 tff(12107,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB91) | (~v115(constB91)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB91) | (~v115(constB91)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12108,plain,
% 27.75/18.29 (((~v115(constB91)) | v114(constB91)) <=> (v114(constB91) | (~v115(constB91)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12109,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB91)) | v114(constB91))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB91) | (~v115(constB91))))),
% 27.75/18.29 inference(monotonicity,[status(thm)],[12108])).
% 27.75/18.29 tff(12110,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB91)) | v114(constB91))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB91) | (~v115(constB91)))),
% 27.75/18.29 inference(transitivity,[status(thm)],[12109, 12107])).
% 27.75/18.29 tff(12111,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB91)) | v114(constB91))),
% 27.75/18.29 inference(quant_inst,[status(thm)],[])).
% 27.75/18.29 tff(12112,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB91) | (~v115(constB91))),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[12111, 12110])).
% 27.75/18.29 tff(12113,plain,
% 27.75/18.29 (v114(constB91)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12112, 300, 12106])).
% 27.75/18.29 tff(12114,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB91) | (~v114(constB91)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB91) | (~v114(constB91)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12115,plain,
% 27.75/18.29 (((~v114(constB91)) | v113(constB91)) <=> (v113(constB91) | (~v114(constB91)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12116,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB91)) | v113(constB91))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB91) | (~v114(constB91))))),
% 27.75/18.29 inference(monotonicity,[status(thm)],[12115])).
% 27.75/18.29 tff(12117,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB91)) | v113(constB91))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB91) | (~v114(constB91)))),
% 27.75/18.29 inference(transitivity,[status(thm)],[12116, 12114])).
% 27.75/18.29 tff(12118,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB91)) | v113(constB91))),
% 27.75/18.29 inference(quant_inst,[status(thm)],[])).
% 27.75/18.29 tff(12119,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB91) | (~v114(constB91))),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[12118, 12117])).
% 27.75/18.29 tff(12120,plain,
% 27.75/18.29 (v113(constB91)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12119, 314, 12113])).
% 27.75/18.29 tff(12121,assumption,(v26(constB91)), introduced(assumption)).
% 27.75/18.29 tff(12122,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB91))),
% 27.75/18.29 inference(quant_inst,[status(thm)],[])).
% 27.75/18.29 tff(12123,plain,
% 27.75/18.29 ($false),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12122, 95, 12121])).
% 27.75/18.29 tff(12124,plain,(~v26(constB91)), inference(lemma,lemma(discharge,[]))).
% 27.75/18.29 tff(12125,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | v112(constB91) | (~v113(constB91)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | v112(constB91) | (~v113(constB91)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12126,plain,
% 27.75/18.29 ((v26(constB91) | (~v113(constB91)) | v112(constB91)) <=> (v26(constB91) | v112(constB91) | (~v113(constB91)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12127,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | v112(constB91) | (~v113(constB91))))),
% 27.75/18.29 inference(monotonicity,[status(thm)],[12126])).
% 27.75/18.29 tff(12128,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | v112(constB91) | (~v113(constB91)))),
% 27.75/18.29 inference(transitivity,[status(thm)],[12127, 12125])).
% 27.75/18.29 tff(12129,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))),
% 27.75/18.29 inference(quant_inst,[status(thm)],[])).
% 27.75/18.29 tff(12130,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | v112(constB91) | (~v113(constB91))),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[12129, 12128])).
% 27.75/18.29 tff(12131,plain,
% 27.75/18.29 (v112(constB91) | (~v113(constB91))),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12130, 328, 12124])).
% 27.75/18.29 tff(12132,plain,
% 27.75/18.29 (v112(constB91)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12131, 12120])).
% 27.75/18.29 tff(12133,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB91) | (~v112(constB91)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB91) | (~v112(constB91)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12134,plain,
% 27.75/18.29 (((~v112(constB91)) | v108(constB91)) <=> (v108(constB91) | (~v112(constB91)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12135,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB91)) | v108(constB91))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB91) | (~v112(constB91))))),
% 27.75/18.29 inference(monotonicity,[status(thm)],[12134])).
% 27.75/18.29 tff(12136,plain,
% 27.75/18.29 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB91)) | v108(constB91))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB91) | (~v112(constB91)))),
% 27.75/18.29 inference(transitivity,[status(thm)],[12135, 12133])).
% 27.75/18.29 tff(12137,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB91)) | v108(constB91))),
% 27.75/18.29 inference(quant_inst,[status(thm)],[])).
% 27.75/18.29 tff(12138,plain,
% 27.75/18.29 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB91) | (~v112(constB91))),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[12137, 12136])).
% 27.75/18.29 tff(12139,plain,
% 27.75/18.29 (v108(constB91)),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12138, 340, 12132])).
% 27.75/18.29 tff(12140,plain,
% 27.75/18.29 (nextState(constB91, constB92) <=> nextState(constB91, constB92)),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12141,axiom,(nextState(constB91, constB92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_91_1')).
% 27.75/18.29 tff(12142,plain,
% 27.75/18.29 (nextState(constB91, constB92)),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[12141, 12140])).
% 27.75/18.29 tff(12143,plain,
% 27.75/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12144,plain,
% 27.75/18.29 (((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92)) <=> ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 27.75/18.29 inference(rewrite,[status(thm)],[])).
% 27.75/18.29 tff(12145,plain,
% 27.75/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91))))),
% 27.75/18.29 inference(monotonicity,[status(thm)],[12144])).
% 27.75/18.29 tff(12146,plain,
% 27.75/18.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 27.75/18.29 inference(transitivity,[status(thm)],[12145, 12143])).
% 27.75/18.29 tff(12147,plain,
% 27.75/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))),
% 27.75/18.29 inference(quant_inst,[status(thm)],[])).
% 27.75/18.29 tff(12148,plain,
% 27.75/18.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91))),
% 27.75/18.29 inference(modus_ponens,[status(thm)],[12147, 12146])).
% 27.75/18.29 tff(12149,plain,
% 27.75/18.29 (v110(constB92) | (~v108(constB91))),
% 27.75/18.29 inference(unit_resolution,[status(thm)],[12148, 360, 12142])).
% 27.75/18.30 tff(12150,plain,
% 27.75/18.30 (v110(constB92)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12149, 12139])).
% 27.75/18.30 tff(12151,plain,
% 27.75/18.30 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12152,plain,
% 27.75/18.30 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.30 tff(12153,plain,
% 27.75/18.30 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92))),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12152, 12151])).
% 27.75/18.30 tff(12154,plain,
% 27.75/18.30 (~v104(constB92)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12153, 378, 12142, 11995])).
% 27.75/18.30 tff(12155,plain,
% 27.75/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12156,plain,
% 27.75/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.30 tff(12157,plain,
% 27.75/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB91, constB92)) | v102(constB92) | v104(constB92)),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12156, 12155])).
% 27.75/18.30 tff(12158,plain,
% 27.75/18.30 (v102(constB92) | v104(constB92)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12157, 392, 12142])).
% 27.75/18.30 tff(12159,plain,
% 27.75/18.30 (v102(constB92)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12158, 12154])).
% 27.75/18.30 tff(12160,plain,
% 27.75/18.30 (v1(constB92) <=> v1(constB92)),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12161,axiom,(v1(constB92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_92_1')).
% 27.75/18.30 tff(12162,plain,
% 27.75/18.30 (v1(constB92)),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12161, 12160])).
% 27.75/18.30 tff(12163,plain,
% 27.75/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12164,plain,
% 27.75/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.30 tff(12165,plain,
% 27.75/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92))),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12164, 12163])).
% 27.75/18.30 tff(12166,plain,
% 27.75/18.30 (v101(constB92) | (~v102(constB92))),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12165, 410, 12142, 12162])).
% 27.75/18.30 tff(12167,plain,
% 27.75/18.30 (v101(constB92)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12166, 12159])).
% 27.75/18.30 tff(12168,plain,
% 27.75/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12169,plain,
% 27.75/18.30 (((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92)) <=> ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12170,plain,
% 27.75/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92))))),
% 27.75/18.30 inference(monotonicity,[status(thm)],[12169])).
% 27.75/18.30 tff(12171,plain,
% 27.75/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 27.75/18.30 inference(transitivity,[status(thm)],[12170, 12168])).
% 27.75/18.30 tff(12172,plain,
% 27.75/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.30 tff(12173,plain,
% 27.75/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92))),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12172, 12171])).
% 27.75/18.30 tff(12174,plain,
% 27.75/18.30 (v100(constB92) | (~v101(constB92)) | (~v110(constB92))),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12173, 425, 12142])).
% 27.75/18.30 tff(12175,plain,
% 27.75/18.30 (v100(constB92) | (~v110(constB92))),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12174, 12167])).
% 27.75/18.30 tff(12176,plain,
% 27.75/18.30 (v100(constB92)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12175, 12150])).
% 27.75/18.30 tff(12177,plain,
% 27.75/18.30 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB91)) | v130(constB91, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB91)) | v130(constB91, 2))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12178,plain,
% 27.75/18.30 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB91)) | v130(constB91, 2))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.30 tff(12179,plain,
% 27.75/18.30 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB91)) | v130(constB91, 2)),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12178, 12177])).
% 27.75/18.30 tff(12180,plain,
% 27.75/18.30 (v130(constB91, 2)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12179, 1484, 12092])).
% 27.75/18.30 tff(12181,plain,
% 27.75/18.30 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB91) | (~v130(constB91, 2)) | v127(constB91, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB91) | (~v130(constB91, 2)) | v127(constB91, 2))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12182,plain,
% 27.75/18.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB91) | (~v130(constB91, 2)) | v127(constB91, 2))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.30 tff(12183,plain,
% 27.75/18.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB91) | (~v130(constB91, 2)) | v127(constB91, 2)),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12182, 12181])).
% 27.75/18.30 tff(12184,plain,
% 27.75/18.30 ((~v130(constB91, 2)) | v127(constB91, 2)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12183, 1498, 12124])).
% 27.75/18.30 tff(12185,plain,
% 27.75/18.30 (v127(constB91, 2)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12184, 12180])).
% 27.75/18.30 tff(12186,plain,
% 27.75/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB91, constB92)) | (~v127(constB91, 2)) | v129(constB92, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB91, constB92)) | (~v127(constB91, 2)) | v129(constB92, 2))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12187,plain,
% 27.75/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB91, constB92)) | (~v127(constB91, 2)) | v129(constB92, 2))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.30 tff(12188,plain,
% 27.75/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB91, constB92)) | (~v127(constB91, 2)) | v129(constB92, 2)),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12187, 12186])).
% 27.75/18.30 tff(12189,plain,
% 27.75/18.30 ((~v127(constB91, 2)) | v129(constB92, 2)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12188, 1513, 12142])).
% 27.75/18.30 tff(12190,plain,
% 27.75/18.30 (v129(constB92, 2)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12189, 12185])).
% 27.75/18.30 tff(12191,plain,
% 27.75/18.30 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB92, 2) | (~v129(constB92, 2)) | (~v100(constB92)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB92, 2) | (~v129(constB92, 2)) | (~v100(constB92)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12192,plain,
% 27.75/18.30 ((v90(constB92, 2) | (~v100(constB92)) | (~v129(constB92, 2))) <=> (v90(constB92, 2) | (~v129(constB92, 2)) | (~v100(constB92)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12193,plain,
% 27.75/18.30 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB92, 2) | (~v100(constB92)) | (~v129(constB92, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB92, 2) | (~v129(constB92, 2)) | (~v100(constB92))))),
% 27.75/18.30 inference(monotonicity,[status(thm)],[12192])).
% 27.75/18.30 tff(12194,plain,
% 27.75/18.30 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB92, 2) | (~v100(constB92)) | (~v129(constB92, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB92, 2) | (~v129(constB92, 2)) | (~v100(constB92)))),
% 27.75/18.30 inference(transitivity,[status(thm)],[12193, 12191])).
% 27.75/18.30 tff(12195,plain,
% 27.75/18.30 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB92, 2) | (~v100(constB92)) | (~v129(constB92, 2)))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.30 tff(12196,plain,
% 27.75/18.30 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB92, 2) | (~v129(constB92, 2)) | (~v100(constB92))),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12195, 12194])).
% 27.75/18.30 tff(12197,plain,
% 27.75/18.30 (v90(constB92, 2) | (~v100(constB92))),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12196, 1528, 12190])).
% 27.75/18.30 tff(12198,plain,
% 27.75/18.30 (v90(constB92, 2)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12197, 12176])).
% 27.75/18.30 tff(12199,plain,
% 27.75/18.30 ((~v1(constB93)) <=> (~v1(constB93))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12200,axiom,(~v1(constB93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_93_1_1')).
% 27.75/18.30 tff(12201,plain,
% 27.75/18.30 (~v1(constB93)),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12200, 12199])).
% 27.75/18.30 tff(12202,plain,
% 27.75/18.30 (nextState(constB92, constB93) <=> nextState(constB92, constB93)),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12203,axiom,(nextState(constB92, constB93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_92_1')).
% 27.75/18.30 tff(12204,plain,
% 27.75/18.30 (nextState(constB92, constB93)),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12203, 12202])).
% 27.75/18.30 tff(12205,plain,
% 27.75/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12206,plain,
% 27.75/18.30 (((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93)) <=> (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12207,plain,
% 27.75/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93))))),
% 27.75/18.30 inference(monotonicity,[status(thm)],[12206])).
% 27.75/18.30 tff(12208,plain,
% 27.75/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 27.75/18.30 inference(transitivity,[status(thm)],[12207, 12205])).
% 27.75/18.30 tff(12209,plain,
% 27.75/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.30 tff(12210,plain,
% 27.75/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93))),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12209, 12208])).
% 27.75/18.30 tff(12211,plain,
% 27.75/18.30 (~v101(constB93)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12210, 138, 12204, 12201])).
% 27.75/18.30 tff(12212,plain,
% 27.75/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12213,plain,
% 27.75/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.30 tff(12214,plain,
% 27.75/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93))),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12213, 12212])).
% 27.75/18.30 tff(12215,plain,
% 27.75/18.30 (v101(constB93) | (~v100(constB93))),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12214, 155, 12204])).
% 27.75/18.30 tff(12216,plain,
% 27.75/18.30 (~v100(constB93)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12215, 12211])).
% 27.75/18.30 tff(12217,plain,
% 27.75/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB92, 2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB92, 2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 2))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12218,plain,
% 27.75/18.30 (((~nextState(constB92, constB93)) | (~v90(constB92, 2)) | v100(constB93) | v90(constB93, 2)) <=> ((~v90(constB92, 2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 2))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12219,plain,
% 27.75/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, 2)) | v100(constB93) | v90(constB93, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB92, 2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 2)))),
% 27.75/18.30 inference(monotonicity,[status(thm)],[12218])).
% 27.75/18.30 tff(12220,plain,
% 27.75/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, 2)) | v100(constB93) | v90(constB93, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB92, 2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 2))),
% 27.75/18.30 inference(transitivity,[status(thm)],[12219, 12217])).
% 27.75/18.30 tff(12221,plain,
% 27.75/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, 2)) | v100(constB93) | v90(constB93, 2))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.30 tff(12222,plain,
% 27.75/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB92, 2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 2)),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12221, 12220])).
% 27.75/18.30 tff(12223,plain,
% 27.75/18.30 ((~v90(constB92, 2)) | v100(constB93) | v90(constB93, 2)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12222, 1546, 12204])).
% 27.75/18.30 tff(12224,plain,
% 27.75/18.30 ((~v90(constB92, 2)) | v90(constB93, 2)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12223, 12216])).
% 27.75/18.30 tff(12225,plain,
% 27.75/18.30 (v90(constB93, 2)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12224, 12198])).
% 27.75/18.30 tff(12226,plain,
% 27.75/18.30 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB91)) | (~v130(constB91, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB91)) | (~v130(constB91, 1)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12227,plain,
% 27.75/18.30 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB91)) | (~v130(constB91, 1)))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.30 tff(12228,plain,
% 27.75/18.30 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB91)) | (~v130(constB91, 1))),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12227, 12226])).
% 27.75/18.30 tff(12229,plain,
% 27.75/18.30 (~v130(constB91, 1)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12228, 1424, 12092])).
% 27.75/18.30 tff(12230,plain,
% 27.75/18.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB91, 1)) | v26(constB91) | v130(constB91, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB91, 1)) | v26(constB91) | v130(constB91, 1))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12231,plain,
% 27.75/18.30 ((v26(constB91) | v130(constB91, 1) | (~v127(constB91, 1))) <=> ((~v127(constB91, 1)) | v26(constB91) | v130(constB91, 1))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12232,plain,
% 27.75/18.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB91) | v130(constB91, 1) | (~v127(constB91, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB91, 1)) | v26(constB91) | v130(constB91, 1)))),
% 27.75/18.30 inference(monotonicity,[status(thm)],[12231])).
% 27.75/18.30 tff(12233,plain,
% 27.75/18.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB91) | v130(constB91, 1) | (~v127(constB91, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB91, 1)) | v26(constB91) | v130(constB91, 1))),
% 27.75/18.30 inference(transitivity,[status(thm)],[12232, 12230])).
% 27.75/18.30 tff(12234,plain,
% 27.75/18.30 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB91) | v130(constB91, 1) | (~v127(constB91, 1)))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.30 tff(12235,plain,
% 27.75/18.30 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB91, 1)) | v26(constB91) | v130(constB91, 1)),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12234, 12233])).
% 27.75/18.30 tff(12236,plain,
% 27.75/18.30 ((~v127(constB91, 1)) | v130(constB91, 1)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12235, 541, 12124])).
% 27.75/18.30 tff(12237,plain,
% 27.75/18.30 (~v127(constB91, 1)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12236, 12229])).
% 27.75/18.30 tff(12238,plain,
% 27.75/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB91, constB92)) | v127(constB91, 1) | (~v129(constB92, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB91, constB92)) | v127(constB91, 1) | (~v129(constB92, 1)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12239,plain,
% 27.75/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB91, constB92)) | v127(constB91, 1) | (~v129(constB92, 1)))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.30 tff(12240,plain,
% 27.75/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB91, constB92)) | v127(constB91, 1) | (~v129(constB92, 1))),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12239, 12238])).
% 27.75/18.30 tff(12241,plain,
% 27.75/18.30 (v127(constB91, 1) | (~v129(constB92, 1))),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12240, 559, 12142])).
% 27.75/18.30 tff(12242,plain,
% 27.75/18.30 (~v129(constB92, 1)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12241, 12237])).
% 27.75/18.30 tff(12243,plain,
% 27.75/18.30 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB92, 1)) | v129(constB92, 1) | (~v100(constB92)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB92, 1)) | v129(constB92, 1) | (~v100(constB92)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12244,plain,
% 27.75/18.30 (((~v90(constB92, 1)) | (~v100(constB92)) | v129(constB92, 1)) <=> ((~v90(constB92, 1)) | v129(constB92, 1) | (~v100(constB92)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12245,plain,
% 27.75/18.30 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB92, 1)) | (~v100(constB92)) | v129(constB92, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB92, 1)) | v129(constB92, 1) | (~v100(constB92))))),
% 27.75/18.30 inference(monotonicity,[status(thm)],[12244])).
% 27.75/18.30 tff(12246,plain,
% 27.75/18.30 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB92, 1)) | (~v100(constB92)) | v129(constB92, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB92, 1)) | v129(constB92, 1) | (~v100(constB92)))),
% 27.75/18.30 inference(transitivity,[status(thm)],[12245, 12243])).
% 27.75/18.30 tff(12247,plain,
% 27.75/18.30 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB92, 1)) | (~v100(constB92)) | v129(constB92, 1))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.30 tff(12248,plain,
% 27.75/18.30 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB92, 1)) | v129(constB92, 1) | (~v100(constB92))),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12247, 12246])).
% 27.75/18.30 tff(12249,plain,
% 27.75/18.30 ((~v90(constB92, 1)) | (~v100(constB92))),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12248, 574, 12242])).
% 27.75/18.30 tff(12250,plain,
% 27.75/18.30 (~v90(constB92, 1)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12249, 12176])).
% 27.75/18.30 tff(12251,plain,
% 27.75/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB92, 1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB92, 1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 1)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12252,plain,
% 27.75/18.30 (((~nextState(constB92, constB93)) | v90(constB92, 1) | v100(constB93) | (~v90(constB93, 1))) <=> (v90(constB92, 1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 1)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12253,plain,
% 27.75/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB92, constB93)) | v90(constB92, 1) | v100(constB93) | (~v90(constB93, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB92, 1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 1))))),
% 27.75/18.30 inference(monotonicity,[status(thm)],[12252])).
% 27.75/18.30 tff(12254,plain,
% 27.75/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB92, constB93)) | v90(constB92, 1) | v100(constB93) | (~v90(constB93, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB92, 1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 1)))),
% 27.75/18.30 inference(transitivity,[status(thm)],[12253, 12251])).
% 27.75/18.30 tff(12255,plain,
% 27.75/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB92, constB93)) | v90(constB92, 1) | v100(constB93) | (~v90(constB93, 1)))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.30 tff(12256,plain,
% 27.75/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB92, 1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 1))),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12255, 12254])).
% 27.75/18.30 tff(12257,plain,
% 27.75/18.30 (v90(constB92, 1) | v100(constB93) | (~v90(constB93, 1))),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12256, 191, 12204])).
% 27.75/18.30 tff(12258,plain,
% 27.75/18.30 (v90(constB92, 1) | (~v90(constB93, 1))),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12257, 12216])).
% 27.75/18.30 tff(12259,plain,
% 27.75/18.30 (~v90(constB93, 1)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12258, 12250])).
% 27.75/18.30 tff(12260,plain,
% 27.75/18.30 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB91)) | (~v130(constB91, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB91)) | (~v130(constB91, 0)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12261,plain,
% 27.75/18.30 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB91)) | (~v130(constB91, 0)))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.30 tff(12262,plain,
% 27.75/18.30 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB91)) | (~v130(constB91, 0))),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12261, 12260])).
% 27.75/18.30 tff(12263,plain,
% 27.75/18.30 (~v130(constB91, 0)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12262, 1351, 12092])).
% 27.75/18.30 tff(12264,plain,
% 27.75/18.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB91, 0)) | v26(constB91) | v130(constB91, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB91, 0)) | v26(constB91) | v130(constB91, 0))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12265,plain,
% 27.75/18.30 ((v26(constB91) | v130(constB91, 0) | (~v127(constB91, 0))) <=> ((~v127(constB91, 0)) | v26(constB91) | v130(constB91, 0))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12266,plain,
% 27.75/18.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB91) | v130(constB91, 0) | (~v127(constB91, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB91, 0)) | v26(constB91) | v130(constB91, 0)))),
% 27.75/18.30 inference(monotonicity,[status(thm)],[12265])).
% 27.75/18.30 tff(12267,plain,
% 27.75/18.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB91) | v130(constB91, 0) | (~v127(constB91, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB91, 0)) | v26(constB91) | v130(constB91, 0))),
% 27.75/18.30 inference(transitivity,[status(thm)],[12266, 12264])).
% 27.75/18.30 tff(12268,plain,
% 27.75/18.30 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB91) | v130(constB91, 0) | (~v127(constB91, 0)))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.30 tff(12269,plain,
% 27.75/18.30 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB91, 0)) | v26(constB91) | v130(constB91, 0)),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12268, 12267])).
% 27.75/18.30 tff(12270,plain,
% 27.75/18.30 ((~v127(constB91, 0)) | v130(constB91, 0)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12269, 933, 12124])).
% 27.75/18.30 tff(12271,plain,
% 27.75/18.30 (~v127(constB91, 0)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12270, 12263])).
% 27.75/18.30 tff(12272,plain,
% 27.75/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB91, constB92)) | v127(constB91, 0) | (~v129(constB92, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB91, constB92)) | v127(constB91, 0) | (~v129(constB92, 0)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12273,plain,
% 27.75/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB91, constB92)) | v127(constB91, 0) | (~v129(constB92, 0)))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.30 tff(12274,plain,
% 27.75/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB91, constB92)) | v127(constB91, 0) | (~v129(constB92, 0))),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12273, 12272])).
% 27.75/18.30 tff(12275,plain,
% 27.75/18.30 (v127(constB91, 0) | (~v129(constB92, 0))),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12274, 951, 12142])).
% 27.75/18.30 tff(12276,plain,
% 27.75/18.30 (~v129(constB92, 0)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12275, 12271])).
% 27.75/18.30 tff(12277,plain,
% 27.75/18.30 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB92, 0)) | v129(constB92, 0) | (~v100(constB92)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB92, 0)) | v129(constB92, 0) | (~v100(constB92)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12278,plain,
% 27.75/18.30 (((~v90(constB92, 0)) | (~v100(constB92)) | v129(constB92, 0)) <=> ((~v90(constB92, 0)) | v129(constB92, 0) | (~v100(constB92)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12279,plain,
% 27.75/18.30 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB92, 0)) | (~v100(constB92)) | v129(constB92, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB92, 0)) | v129(constB92, 0) | (~v100(constB92))))),
% 27.75/18.30 inference(monotonicity,[status(thm)],[12278])).
% 27.75/18.30 tff(12280,plain,
% 27.75/18.30 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB92, 0)) | (~v100(constB92)) | v129(constB92, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB92, 0)) | v129(constB92, 0) | (~v100(constB92)))),
% 27.75/18.30 inference(transitivity,[status(thm)],[12279, 12277])).
% 27.75/18.30 tff(12281,plain,
% 27.75/18.30 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB92, 0)) | (~v100(constB92)) | v129(constB92, 0))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.30 tff(12282,plain,
% 27.75/18.30 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB92, 0)) | v129(constB92, 0) | (~v100(constB92))),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12281, 12280])).
% 27.75/18.30 tff(12283,plain,
% 27.75/18.30 ((~v90(constB92, 0)) | (~v100(constB92))),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12282, 966, 12276])).
% 27.75/18.30 tff(12284,plain,
% 27.75/18.30 (~v90(constB92, 0)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12283, 12176])).
% 27.75/18.30 tff(12285,plain,
% 27.75/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB92, 0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB92, 0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 0)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12286,plain,
% 27.75/18.30 (((~nextState(constB92, constB93)) | v90(constB92, 0) | v100(constB93) | (~v90(constB93, 0))) <=> (v90(constB92, 0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 0)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12287,plain,
% 27.75/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB92, constB93)) | v90(constB92, 0) | v100(constB93) | (~v90(constB93, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB92, 0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 0))))),
% 27.75/18.30 inference(monotonicity,[status(thm)],[12286])).
% 27.75/18.30 tff(12288,plain,
% 27.75/18.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB92, constB93)) | v90(constB92, 0) | v100(constB93) | (~v90(constB93, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB92, 0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 0)))),
% 27.75/18.30 inference(transitivity,[status(thm)],[12287, 12285])).
% 27.75/18.30 tff(12289,plain,
% 27.75/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB92, constB93)) | v90(constB92, 0) | v100(constB93) | (~v90(constB93, 0)))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.30 tff(12290,plain,
% 27.75/18.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB92, 0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 0))),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12289, 12288])).
% 27.75/18.30 tff(12291,plain,
% 27.75/18.30 (v90(constB92, 0) | v100(constB93) | (~v90(constB93, 0))),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12290, 212, 12204])).
% 27.75/18.30 tff(12292,plain,
% 27.75/18.30 (v90(constB92, 0) | (~v90(constB93, 0))),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12291, 12216])).
% 27.75/18.30 tff(12293,plain,
% 27.75/18.30 (~v90(constB93, 0)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12292, 12284])).
% 27.75/18.30 tff(12294,plain,
% 27.75/18.30 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB93, 0) | v90(constB93, 1) | (~v90(constB93, 2)) | v123(constB93))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB93, 0) | v90(constB93, 1) | (~v90(constB93, 2)) | v123(constB93))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12295,plain,
% 27.75/18.30 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB93, 0) | v90(constB93, 1) | (~v90(constB93, 2)) | v123(constB93))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.30 tff(12296,plain,
% 27.75/18.30 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB93, 0) | v90(constB93, 1) | (~v90(constB93, 2)) | v123(constB93)),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12295, 12294])).
% 27.75/18.30 tff(12297,plain,
% 27.75/18.30 (v123(constB93)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12296, 1565, 12293, 12259, 12225])).
% 27.75/18.30 tff(12298,plain,
% 27.75/18.30 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB93)) | v115(constB93))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB93)) | v115(constB93))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12299,plain,
% 27.75/18.30 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB93)) | v115(constB93))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.30 tff(12300,plain,
% 27.75/18.30 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB93)) | v115(constB93)),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12299, 12298])).
% 27.75/18.30 tff(12301,plain,
% 27.75/18.30 (v115(constB93)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12300, 1579, 12297])).
% 27.75/18.30 tff(12302,plain,
% 27.75/18.30 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB93) | (~v115(constB93)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB93) | (~v115(constB93)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12303,plain,
% 27.75/18.30 (((~v115(constB93)) | v114(constB93)) <=> (v114(constB93) | (~v115(constB93)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12304,plain,
% 27.75/18.30 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB93)) | v114(constB93))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB93) | (~v115(constB93))))),
% 27.75/18.30 inference(monotonicity,[status(thm)],[12303])).
% 27.75/18.30 tff(12305,plain,
% 27.75/18.30 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB93)) | v114(constB93))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB93) | (~v115(constB93)))),
% 27.75/18.30 inference(transitivity,[status(thm)],[12304, 12302])).
% 27.75/18.30 tff(12306,plain,
% 27.75/18.30 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB93)) | v114(constB93))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.30 tff(12307,plain,
% 27.75/18.30 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB93) | (~v115(constB93))),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12306, 12305])).
% 27.75/18.30 tff(12308,plain,
% 27.75/18.30 (v114(constB93)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12307, 300, 12301])).
% 27.75/18.30 tff(12309,plain,
% 27.75/18.30 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB93) | (~v114(constB93)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB93) | (~v114(constB93)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12310,plain,
% 27.75/18.30 (((~v114(constB93)) | v113(constB93)) <=> (v113(constB93) | (~v114(constB93)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12311,plain,
% 27.75/18.30 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB93)) | v113(constB93))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB93) | (~v114(constB93))))),
% 27.75/18.30 inference(monotonicity,[status(thm)],[12310])).
% 27.75/18.30 tff(12312,plain,
% 27.75/18.30 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB93)) | v113(constB93))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB93) | (~v114(constB93)))),
% 27.75/18.30 inference(transitivity,[status(thm)],[12311, 12309])).
% 27.75/18.30 tff(12313,plain,
% 27.75/18.30 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB93)) | v113(constB93))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.30 tff(12314,plain,
% 27.75/18.30 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB93) | (~v114(constB93))),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12313, 12312])).
% 27.75/18.30 tff(12315,plain,
% 27.75/18.30 (v113(constB93)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12314, 314, 12308])).
% 27.75/18.30 tff(12316,assumption,(v26(constB93)), introduced(assumption)).
% 27.75/18.30 tff(12317,plain,
% 27.75/18.30 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB93))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.30 tff(12318,plain,
% 27.75/18.30 ($false),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12317, 95, 12316])).
% 27.75/18.30 tff(12319,plain,(~v26(constB93)), inference(lemma,lemma(discharge,[]))).
% 27.75/18.30 tff(12320,plain,
% 27.75/18.30 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | v112(constB93) | (~v113(constB93)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12321,plain,
% 27.75/18.30 ((v26(constB93) | (~v113(constB93)) | v112(constB93)) <=> (v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12322,plain,
% 27.75/18.30 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | v112(constB93) | (~v113(constB93))))),
% 27.75/18.30 inference(monotonicity,[status(thm)],[12321])).
% 27.75/18.30 tff(12323,plain,
% 27.75/18.30 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 27.75/18.30 inference(transitivity,[status(thm)],[12322, 12320])).
% 27.75/18.30 tff(12324,plain,
% 27.75/18.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.30 tff(12325,plain,
% 27.75/18.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93))),
% 27.75/18.30 inference(modus_ponens,[status(thm)],[12324, 12323])).
% 27.75/18.30 tff(12326,plain,
% 27.75/18.30 (v112(constB93) | (~v113(constB93))),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12325, 328, 12319])).
% 27.75/18.30 tff(12327,plain,
% 27.75/18.30 (v112(constB93)),
% 27.75/18.30 inference(unit_resolution,[status(thm)],[12326, 12315])).
% 27.75/18.30 tff(12328,plain,
% 27.75/18.30 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB93) | (~v112(constB93)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v112(constB93)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12329,plain,
% 27.75/18.30 (((~v112(constB93)) | v108(constB93)) <=> (v108(constB93) | (~v112(constB93)))),
% 27.75/18.30 inference(rewrite,[status(thm)],[])).
% 27.75/18.30 tff(12330,plain,
% 27.75/18.30 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB93)) | v108(constB93))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB93) | (~v112(constB93))))),
% 27.75/18.30 inference(monotonicity,[status(thm)],[12329])).
% 27.75/18.30 tff(12331,plain,
% 27.75/18.30 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB93)) | v108(constB93))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v112(constB93)))),
% 27.75/18.30 inference(transitivity,[status(thm)],[12330, 12328])).
% 27.75/18.30 tff(12332,plain,
% 27.75/18.30 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB93)) | v108(constB93))),
% 27.75/18.30 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12333,plain,
% 27.75/18.31 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v112(constB93))),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12332, 12331])).
% 27.75/18.31 tff(12334,plain,
% 27.75/18.31 (v108(constB93)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12333, 340, 12327])).
% 27.75/18.31 tff(12335,plain,
% 27.75/18.31 (nextState(constB93, constB94) <=> nextState(constB93, constB94)),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12336,axiom,(nextState(constB93, constB94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_93_1')).
% 27.75/18.31 tff(12337,plain,
% 27.75/18.31 (nextState(constB93, constB94)),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12336, 12335])).
% 27.75/18.31 tff(12338,plain,
% 27.75/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12339,plain,
% 27.75/18.31 (((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94)) <=> ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12340,plain,
% 27.75/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93))))),
% 27.75/18.31 inference(monotonicity,[status(thm)],[12339])).
% 27.75/18.31 tff(12341,plain,
% 27.75/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 27.75/18.31 inference(transitivity,[status(thm)],[12340, 12338])).
% 27.75/18.31 tff(12342,plain,
% 27.75/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))),
% 27.75/18.31 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12343,plain,
% 27.75/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93))),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12342, 12341])).
% 27.75/18.31 tff(12344,plain,
% 27.75/18.31 (v110(constB94) | (~v108(constB93))),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12343, 360, 12337])).
% 27.75/18.31 tff(12345,plain,
% 27.75/18.31 (v110(constB94)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12344, 12334])).
% 27.75/18.31 tff(12346,plain,
% 27.75/18.31 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12347,plain,
% 27.75/18.31 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))),
% 27.75/18.31 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12348,plain,
% 27.75/18.31 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94))),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12347, 12346])).
% 27.75/18.31 tff(12349,plain,
% 27.75/18.31 (~v104(constB94)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12348, 378, 12337, 12201])).
% 27.75/18.31 tff(12350,plain,
% 27.75/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12351,plain,
% 27.75/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))),
% 27.75/18.31 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12352,plain,
% 27.75/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB93, constB94)) | v102(constB94) | v104(constB94)),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12351, 12350])).
% 27.75/18.31 tff(12353,plain,
% 27.75/18.31 (v102(constB94) | v104(constB94)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12352, 392, 12337])).
% 27.75/18.31 tff(12354,plain,
% 27.75/18.31 (v102(constB94)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12353, 12349])).
% 27.75/18.31 tff(12355,plain,
% 27.75/18.31 (v1(constB94) <=> v1(constB94)),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12356,axiom,(v1(constB94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_94_1')).
% 27.75/18.31 tff(12357,plain,
% 27.75/18.31 (v1(constB94)),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12356, 12355])).
% 27.75/18.31 tff(12358,plain,
% 27.75/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12359,plain,
% 27.75/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))),
% 27.75/18.31 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12360,plain,
% 27.75/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94))),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12359, 12358])).
% 27.75/18.31 tff(12361,plain,
% 27.75/18.31 (v101(constB94) | (~v102(constB94))),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12360, 410, 12337, 12357])).
% 27.75/18.31 tff(12362,plain,
% 27.75/18.31 (v101(constB94)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12361, 12354])).
% 27.75/18.31 tff(12363,plain,
% 27.75/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12364,plain,
% 27.75/18.31 (((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94)) <=> ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12365,plain,
% 27.75/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94))))),
% 27.75/18.31 inference(monotonicity,[status(thm)],[12364])).
% 27.75/18.31 tff(12366,plain,
% 27.75/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 27.75/18.31 inference(transitivity,[status(thm)],[12365, 12363])).
% 27.75/18.31 tff(12367,plain,
% 27.75/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))),
% 27.75/18.31 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12368,plain,
% 27.75/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94))),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12367, 12366])).
% 27.75/18.31 tff(12369,plain,
% 27.75/18.31 (v100(constB94) | (~v101(constB94)) | (~v110(constB94))),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12368, 425, 12337])).
% 27.75/18.31 tff(12370,plain,
% 27.75/18.31 (v100(constB94) | (~v110(constB94))),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12369, 12362])).
% 27.75/18.31 tff(12371,plain,
% 27.75/18.31 (v100(constB94)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12370, 12345])).
% 27.75/18.31 tff(12372,plain,
% 27.75/18.31 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB93)) | v130(constB93, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB93)) | v130(constB93, 2))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12373,plain,
% 27.75/18.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB93)) | v130(constB93, 2))),
% 27.75/18.31 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12374,plain,
% 27.75/18.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB93)) | v130(constB93, 2)),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12373, 12372])).
% 27.75/18.31 tff(12375,plain,
% 27.75/18.31 (v130(constB93, 2)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12374, 1656, 12297])).
% 27.75/18.31 tff(12376,plain,
% 27.75/18.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB93) | (~v130(constB93, 2)) | v127(constB93, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB93) | (~v130(constB93, 2)) | v127(constB93, 2))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12377,plain,
% 27.75/18.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB93) | (~v130(constB93, 2)) | v127(constB93, 2))),
% 27.75/18.31 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12378,plain,
% 27.75/18.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB93) | (~v130(constB93, 2)) | v127(constB93, 2)),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12377, 12376])).
% 27.75/18.31 tff(12379,plain,
% 27.75/18.31 ((~v130(constB93, 2)) | v127(constB93, 2)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12378, 1498, 12319])).
% 27.75/18.31 tff(12380,plain,
% 27.75/18.31 (v127(constB93, 2)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12379, 12375])).
% 27.75/18.31 tff(12381,plain,
% 27.75/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB93, constB94)) | (~v127(constB93, 2)) | v129(constB94, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB93, constB94)) | (~v127(constB93, 2)) | v129(constB94, 2))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12382,plain,
% 27.75/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB93, constB94)) | (~v127(constB93, 2)) | v129(constB94, 2))),
% 27.75/18.31 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12383,plain,
% 27.75/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB93, constB94)) | (~v127(constB93, 2)) | v129(constB94, 2)),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12382, 12381])).
% 27.75/18.31 tff(12384,plain,
% 27.75/18.31 ((~v127(constB93, 2)) | v129(constB94, 2)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12383, 1513, 12337])).
% 27.75/18.31 tff(12385,plain,
% 27.75/18.31 (v129(constB94, 2)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12384, 12380])).
% 27.75/18.31 tff(12386,plain,
% 27.75/18.31 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB94, 2) | (~v129(constB94, 2)) | (~v100(constB94)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB94, 2) | (~v129(constB94, 2)) | (~v100(constB94)))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12387,plain,
% 27.75/18.31 ((v90(constB94, 2) | (~v100(constB94)) | (~v129(constB94, 2))) <=> (v90(constB94, 2) | (~v129(constB94, 2)) | (~v100(constB94)))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12388,plain,
% 27.75/18.31 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB94, 2) | (~v100(constB94)) | (~v129(constB94, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB94, 2) | (~v129(constB94, 2)) | (~v100(constB94))))),
% 27.75/18.31 inference(monotonicity,[status(thm)],[12387])).
% 27.75/18.31 tff(12389,plain,
% 27.75/18.31 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB94, 2) | (~v100(constB94)) | (~v129(constB94, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB94, 2) | (~v129(constB94, 2)) | (~v100(constB94)))),
% 27.75/18.31 inference(transitivity,[status(thm)],[12388, 12386])).
% 27.75/18.31 tff(12390,plain,
% 27.75/18.31 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB94, 2) | (~v100(constB94)) | (~v129(constB94, 2)))),
% 27.75/18.31 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12391,plain,
% 27.75/18.31 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB94, 2) | (~v129(constB94, 2)) | (~v100(constB94))),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12390, 12389])).
% 27.75/18.31 tff(12392,plain,
% 27.75/18.31 (v90(constB94, 2) | (~v100(constB94))),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12391, 1528, 12385])).
% 27.75/18.31 tff(12393,plain,
% 27.75/18.31 (v90(constB94, 2)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12392, 12371])).
% 27.75/18.31 tff(12394,plain,
% 27.75/18.31 ((~v1(constB95)) <=> (~v1(constB95))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12395,axiom,(~v1(constB95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_95_1_1')).
% 27.75/18.31 tff(12396,plain,
% 27.75/18.31 (~v1(constB95)),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12395, 12394])).
% 27.75/18.31 tff(12397,plain,
% 27.75/18.31 (nextState(constB94, constB95) <=> nextState(constB94, constB95)),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12398,axiom,(nextState(constB94, constB95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_94_1')).
% 27.75/18.31 tff(12399,plain,
% 27.75/18.31 (nextState(constB94, constB95)),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12398, 12397])).
% 27.75/18.31 tff(12400,plain,
% 27.75/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12401,plain,
% 27.75/18.31 (((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95)) <=> (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12402,plain,
% 27.75/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95))))),
% 27.75/18.31 inference(monotonicity,[status(thm)],[12401])).
% 27.75/18.31 tff(12403,plain,
% 27.75/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 27.75/18.31 inference(transitivity,[status(thm)],[12402, 12400])).
% 27.75/18.31 tff(12404,plain,
% 27.75/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))),
% 27.75/18.31 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12405,plain,
% 27.75/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95))),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12404, 12403])).
% 27.75/18.31 tff(12406,plain,
% 27.75/18.31 (~v101(constB95)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12405, 138, 12399, 12396])).
% 27.75/18.31 tff(12407,plain,
% 27.75/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12408,plain,
% 27.75/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))),
% 27.75/18.31 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12409,plain,
% 27.75/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95))),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12408, 12407])).
% 27.75/18.31 tff(12410,plain,
% 27.75/18.31 (v101(constB95) | (~v100(constB95))),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12409, 155, 12399])).
% 27.75/18.31 tff(12411,plain,
% 27.75/18.31 (~v100(constB95)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12410, 12406])).
% 27.75/18.31 tff(12412,plain,
% 27.75/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB94, 2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB94, 2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 2))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12413,plain,
% 27.75/18.31 (((~nextState(constB94, constB95)) | (~v90(constB94, 2)) | v100(constB95) | v90(constB95, 2)) <=> ((~v90(constB94, 2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 2))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12414,plain,
% 27.75/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, 2)) | v100(constB95) | v90(constB95, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB94, 2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 2)))),
% 27.75/18.31 inference(monotonicity,[status(thm)],[12413])).
% 27.75/18.31 tff(12415,plain,
% 27.75/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, 2)) | v100(constB95) | v90(constB95, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB94, 2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 2))),
% 27.75/18.31 inference(transitivity,[status(thm)],[12414, 12412])).
% 27.75/18.31 tff(12416,plain,
% 27.75/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, 2)) | v100(constB95) | v90(constB95, 2))),
% 27.75/18.31 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12417,plain,
% 27.75/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB94, 2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 2)),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12416, 12415])).
% 27.75/18.31 tff(12418,plain,
% 27.75/18.31 ((~v90(constB94, 2)) | v100(constB95) | v90(constB95, 2)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12417, 1546, 12399])).
% 27.75/18.31 tff(12419,plain,
% 27.75/18.31 ((~v90(constB94, 2)) | v90(constB95, 2)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12418, 12411])).
% 27.75/18.31 tff(12420,plain,
% 27.75/18.31 (v90(constB95, 2)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12419, 12393])).
% 27.75/18.31 tff(12421,plain,
% 27.75/18.31 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB93)) | (~v130(constB93, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB93)) | (~v130(constB93, 1)))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12422,plain,
% 27.75/18.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB93)) | (~v130(constB93, 1)))),
% 27.75/18.31 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12423,plain,
% 27.75/18.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB93)) | (~v130(constB93, 1))),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12422, 12421])).
% 27.75/18.31 tff(12424,plain,
% 27.75/18.31 (~v130(constB93, 1)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12423, 1712, 12297])).
% 27.75/18.31 tff(12425,plain,
% 27.75/18.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB93, 1)) | v26(constB93) | v130(constB93, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB93, 1)) | v26(constB93) | v130(constB93, 1))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12426,plain,
% 27.75/18.31 ((v26(constB93) | v130(constB93, 1) | (~v127(constB93, 1))) <=> ((~v127(constB93, 1)) | v26(constB93) | v130(constB93, 1))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12427,plain,
% 27.75/18.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB93) | v130(constB93, 1) | (~v127(constB93, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB93, 1)) | v26(constB93) | v130(constB93, 1)))),
% 27.75/18.31 inference(monotonicity,[status(thm)],[12426])).
% 27.75/18.31 tff(12428,plain,
% 27.75/18.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB93) | v130(constB93, 1) | (~v127(constB93, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB93, 1)) | v26(constB93) | v130(constB93, 1))),
% 27.75/18.31 inference(transitivity,[status(thm)],[12427, 12425])).
% 27.75/18.31 tff(12429,plain,
% 27.75/18.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB93) | v130(constB93, 1) | (~v127(constB93, 1)))),
% 27.75/18.31 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12430,plain,
% 27.75/18.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB93, 1)) | v26(constB93) | v130(constB93, 1)),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12429, 12428])).
% 27.75/18.31 tff(12431,plain,
% 27.75/18.31 ((~v127(constB93, 1)) | v130(constB93, 1)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12430, 541, 12319])).
% 27.75/18.31 tff(12432,plain,
% 27.75/18.31 (~v127(constB93, 1)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12431, 12424])).
% 27.75/18.31 tff(12433,plain,
% 27.75/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB93, constB94)) | v127(constB93, 1) | (~v129(constB94, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB93, constB94)) | v127(constB93, 1) | (~v129(constB94, 1)))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12434,plain,
% 27.75/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB93, constB94)) | v127(constB93, 1) | (~v129(constB94, 1)))),
% 27.75/18.31 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12435,plain,
% 27.75/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB93, constB94)) | v127(constB93, 1) | (~v129(constB94, 1))),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12434, 12433])).
% 27.75/18.31 tff(12436,plain,
% 27.75/18.31 (v127(constB93, 1) | (~v129(constB94, 1))),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12435, 559, 12337])).
% 27.75/18.31 tff(12437,plain,
% 27.75/18.31 (~v129(constB94, 1)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12436, 12432])).
% 27.75/18.31 tff(12438,plain,
% 27.75/18.31 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB94, 1)) | v129(constB94, 1) | (~v100(constB94)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB94, 1)) | v129(constB94, 1) | (~v100(constB94)))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12439,plain,
% 27.75/18.31 (((~v90(constB94, 1)) | (~v100(constB94)) | v129(constB94, 1)) <=> ((~v90(constB94, 1)) | v129(constB94, 1) | (~v100(constB94)))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12440,plain,
% 27.75/18.31 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB94, 1)) | (~v100(constB94)) | v129(constB94, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB94, 1)) | v129(constB94, 1) | (~v100(constB94))))),
% 27.75/18.31 inference(monotonicity,[status(thm)],[12439])).
% 27.75/18.31 tff(12441,plain,
% 27.75/18.31 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB94, 1)) | (~v100(constB94)) | v129(constB94, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB94, 1)) | v129(constB94, 1) | (~v100(constB94)))),
% 27.75/18.31 inference(transitivity,[status(thm)],[12440, 12438])).
% 27.75/18.31 tff(12442,plain,
% 27.75/18.31 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB94, 1)) | (~v100(constB94)) | v129(constB94, 1))),
% 27.75/18.31 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12443,plain,
% 27.75/18.31 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB94, 1)) | v129(constB94, 1) | (~v100(constB94))),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12442, 12441])).
% 27.75/18.31 tff(12444,plain,
% 27.75/18.31 ((~v90(constB94, 1)) | (~v100(constB94))),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12443, 574, 12437])).
% 27.75/18.31 tff(12445,plain,
% 27.75/18.31 (~v90(constB94, 1)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12444, 12371])).
% 27.75/18.31 tff(12446,plain,
% 27.75/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB94, 1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB94, 1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 1)))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12447,plain,
% 27.75/18.31 (((~nextState(constB94, constB95)) | v90(constB94, 1) | v100(constB95) | (~v90(constB95, 1))) <=> (v90(constB94, 1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 1)))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12448,plain,
% 27.75/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB94, constB95)) | v90(constB94, 1) | v100(constB95) | (~v90(constB95, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB94, 1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 1))))),
% 27.75/18.31 inference(monotonicity,[status(thm)],[12447])).
% 27.75/18.31 tff(12449,plain,
% 27.75/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB94, constB95)) | v90(constB94, 1) | v100(constB95) | (~v90(constB95, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB94, 1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 1)))),
% 27.75/18.31 inference(transitivity,[status(thm)],[12448, 12446])).
% 27.75/18.31 tff(12450,plain,
% 27.75/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB94, constB95)) | v90(constB94, 1) | v100(constB95) | (~v90(constB95, 1)))),
% 27.75/18.31 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12451,plain,
% 27.75/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB94, 1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 1))),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12450, 12449])).
% 27.75/18.31 tff(12452,plain,
% 27.75/18.31 (v90(constB94, 1) | v100(constB95) | (~v90(constB95, 1))),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12451, 191, 12399])).
% 27.75/18.31 tff(12453,plain,
% 27.75/18.31 (v90(constB94, 1) | (~v90(constB95, 1))),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12452, 12411])).
% 27.75/18.31 tff(12454,plain,
% 27.75/18.31 (~v90(constB95, 1)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12453, 12445])).
% 27.75/18.31 tff(12455,plain,
% 27.75/18.31 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB93)) | v130(constB93, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB93)) | v130(constB93, 0))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12456,plain,
% 27.75/18.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB93)) | v130(constB93, 0))),
% 27.75/18.31 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12457,plain,
% 27.75/18.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB93)) | v130(constB93, 0)),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12456, 12455])).
% 27.75/18.31 tff(12458,plain,
% 27.75/18.31 (v130(constB93, 0)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12457, 1753, 12297])).
% 27.75/18.31 tff(12459,plain,
% 27.75/18.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB93) | (~v130(constB93, 0)) | v127(constB93, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB93) | (~v130(constB93, 0)) | v127(constB93, 0))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12460,plain,
% 27.75/18.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB93) | (~v130(constB93, 0)) | v127(constB93, 0))),
% 27.75/18.31 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12461,plain,
% 27.75/18.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB93) | (~v130(constB93, 0)) | v127(constB93, 0)),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12460, 12459])).
% 27.75/18.31 tff(12462,plain,
% 27.75/18.31 ((~v130(constB93, 0)) | v127(constB93, 0)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12461, 612, 12319])).
% 27.75/18.31 tff(12463,plain,
% 27.75/18.31 (v127(constB93, 0)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12462, 12458])).
% 27.75/18.31 tff(12464,plain,
% 27.75/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB93, constB94)) | (~v127(constB93, 0)) | v129(constB94, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB93, constB94)) | (~v127(constB93, 0)) | v129(constB94, 0))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12465,plain,
% 27.75/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB93, constB94)) | (~v127(constB93, 0)) | v129(constB94, 0))),
% 27.75/18.31 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12466,plain,
% 27.75/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB93, constB94)) | (~v127(constB93, 0)) | v129(constB94, 0)),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12465, 12464])).
% 27.75/18.31 tff(12467,plain,
% 27.75/18.31 ((~v127(constB93, 0)) | v129(constB94, 0)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12466, 627, 12337])).
% 27.75/18.31 tff(12468,plain,
% 27.75/18.31 (v129(constB94, 0)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12467, 12463])).
% 27.75/18.31 tff(12469,plain,
% 27.75/18.31 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB94, 0) | (~v129(constB94, 0)) | (~v100(constB94)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB94, 0) | (~v129(constB94, 0)) | (~v100(constB94)))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12470,plain,
% 27.75/18.31 ((v90(constB94, 0) | (~v100(constB94)) | (~v129(constB94, 0))) <=> (v90(constB94, 0) | (~v129(constB94, 0)) | (~v100(constB94)))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12471,plain,
% 27.75/18.31 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB94, 0) | (~v100(constB94)) | (~v129(constB94, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB94, 0) | (~v129(constB94, 0)) | (~v100(constB94))))),
% 27.75/18.31 inference(monotonicity,[status(thm)],[12470])).
% 27.75/18.31 tff(12472,plain,
% 27.75/18.31 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB94, 0) | (~v100(constB94)) | (~v129(constB94, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB94, 0) | (~v129(constB94, 0)) | (~v100(constB94)))),
% 27.75/18.31 inference(transitivity,[status(thm)],[12471, 12469])).
% 27.75/18.31 tff(12473,plain,
% 27.75/18.31 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB94, 0) | (~v100(constB94)) | (~v129(constB94, 0)))),
% 27.75/18.31 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12474,plain,
% 27.75/18.31 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB94, 0) | (~v129(constB94, 0)) | (~v100(constB94))),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12473, 12472])).
% 27.75/18.31 tff(12475,plain,
% 27.75/18.31 (v90(constB94, 0) | (~v100(constB94))),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12474, 642, 12468])).
% 27.75/18.31 tff(12476,plain,
% 27.75/18.31 (v90(constB94, 0)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12475, 12371])).
% 27.75/18.31 tff(12477,plain,
% 27.75/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB94, 0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB94, 0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 0))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12478,plain,
% 27.75/18.31 (((~nextState(constB94, constB95)) | (~v90(constB94, 0)) | v100(constB95) | v90(constB95, 0)) <=> ((~v90(constB94, 0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 0))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12479,plain,
% 27.75/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB94, constB95)) | (~v90(constB94, 0)) | v100(constB95) | v90(constB95, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB94, 0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 0)))),
% 27.75/18.31 inference(monotonicity,[status(thm)],[12478])).
% 27.75/18.31 tff(12480,plain,
% 27.75/18.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB94, constB95)) | (~v90(constB94, 0)) | v100(constB95) | v90(constB95, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB94, 0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 0))),
% 27.75/18.31 inference(transitivity,[status(thm)],[12479, 12477])).
% 27.75/18.31 tff(12481,plain,
% 27.75/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB94, constB95)) | (~v90(constB94, 0)) | v100(constB95) | v90(constB95, 0))),
% 27.75/18.31 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12482,plain,
% 27.75/18.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB94, 0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 0)),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12481, 12480])).
% 27.75/18.31 tff(12483,plain,
% 27.75/18.31 ((~v90(constB94, 0)) | v100(constB95) | v90(constB95, 0)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12482, 660, 12399])).
% 27.75/18.31 tff(12484,plain,
% 27.75/18.31 ((~v90(constB94, 0)) | v90(constB95, 0)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12483, 12411])).
% 27.75/18.31 tff(12485,plain,
% 27.75/18.31 (v90(constB95, 0)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12484, 12476])).
% 27.75/18.31 tff(12486,plain,
% 27.75/18.31 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB95, 0)) | v90(constB95, 1) | (~v90(constB95, 2)) | v124(constB95))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB95, 0)) | v90(constB95, 1) | (~v90(constB95, 2)) | v124(constB95))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12487,plain,
% 27.75/18.31 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB95, 0)) | v90(constB95, 1) | (~v90(constB95, 2)) | v124(constB95))),
% 27.75/18.31 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12488,plain,
% 27.75/18.31 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB95, 0)) | v90(constB95, 1) | (~v90(constB95, 2)) | v124(constB95)),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12487, 12486])).
% 27.75/18.31 tff(12489,plain,
% 27.75/18.31 (v124(constB95)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12488, 1794, 12485, 12454, 12420])).
% 27.75/18.31 tff(12490,plain,
% 27.75/18.31 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB95)) | v114(constB95))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB95)) | v114(constB95))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12491,plain,
% 27.75/18.31 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB95)) | v114(constB95))),
% 27.75/18.31 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12492,plain,
% 27.75/18.31 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB95)) | v114(constB95)),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12491, 12490])).
% 27.75/18.31 tff(12493,plain,
% 27.75/18.31 (v114(constB95)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12492, 1805, 12489])).
% 27.75/18.31 tff(12494,plain,
% 27.75/18.31 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB95)) | v113(constB95))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB95)) | v113(constB95))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12495,plain,
% 27.75/18.31 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB95)) | v113(constB95))),
% 27.75/18.31 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12496,plain,
% 27.75/18.31 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB95)) | v113(constB95)),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12495, 12494])).
% 27.75/18.31 tff(12497,plain,
% 27.75/18.31 (v113(constB95)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12496, 314, 12493])).
% 27.75/18.31 tff(12498,assumption,(~v108(constB95)), introduced(assumption)).
% 27.75/18.31 tff(12499,plain,
% 27.75/18.31 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB95) | (~v112(constB95)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB95) | (~v112(constB95)))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12500,plain,
% 27.75/18.31 (((~v112(constB95)) | v108(constB95)) <=> (v108(constB95) | (~v112(constB95)))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12501,plain,
% 27.75/18.31 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB95)) | v108(constB95))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB95) | (~v112(constB95))))),
% 27.75/18.31 inference(monotonicity,[status(thm)],[12500])).
% 27.75/18.31 tff(12502,plain,
% 27.75/18.31 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB95)) | v108(constB95))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB95) | (~v112(constB95)))),
% 27.75/18.31 inference(transitivity,[status(thm)],[12501, 12499])).
% 27.75/18.31 tff(12503,plain,
% 27.75/18.31 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB95)) | v108(constB95))),
% 27.75/18.31 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12504,plain,
% 27.75/18.31 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB95) | (~v112(constB95))),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12503, 12502])).
% 27.75/18.31 tff(12505,plain,
% 27.75/18.31 (~v112(constB95)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12504, 340, 12498])).
% 27.75/18.31 tff(12506,plain,
% 27.75/18.31 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB95) | (~v26(constB95)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB95) | (~v26(constB95)))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12507,plain,
% 27.75/18.31 (((~v26(constB95)) | v108(constB95)) <=> (v108(constB95) | (~v26(constB95)))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12508,plain,
% 27.75/18.31 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB95)) | v108(constB95))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB95) | (~v26(constB95))))),
% 27.75/18.31 inference(monotonicity,[status(thm)],[12507])).
% 27.75/18.31 tff(12509,plain,
% 27.75/18.31 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB95)) | v108(constB95))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB95) | (~v26(constB95)))),
% 27.75/18.31 inference(transitivity,[status(thm)],[12508, 12506])).
% 27.75/18.31 tff(12510,plain,
% 27.75/18.31 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB95)) | v108(constB95))),
% 27.75/18.31 inference(quant_inst,[status(thm)],[])).
% 27.75/18.31 tff(12511,plain,
% 27.75/18.31 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB95) | (~v26(constB95))),
% 27.75/18.31 inference(modus_ponens,[status(thm)],[12510, 12509])).
% 27.75/18.31 tff(12512,plain,
% 27.75/18.31 (~v26(constB95)),
% 27.75/18.31 inference(unit_resolution,[status(thm)],[12511, 6750, 12498])).
% 27.75/18.31 tff(12513,assumption,(v113(constB95)), introduced(assumption)).
% 27.75/18.31 tff(12514,plain,
% 27.75/18.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | v112(constB95) | (~v113(constB95)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | v112(constB95) | (~v113(constB95)))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12515,plain,
% 27.75/18.31 ((v26(constB95) | (~v113(constB95)) | v112(constB95)) <=> (v26(constB95) | v112(constB95) | (~v113(constB95)))),
% 27.75/18.31 inference(rewrite,[status(thm)],[])).
% 27.75/18.31 tff(12516,plain,
% 27.75/18.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | v112(constB95) | (~v113(constB95))))),
% 27.75/18.32 inference(monotonicity,[status(thm)],[12515])).
% 27.75/18.32 tff(12517,plain,
% 27.75/18.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | v112(constB95) | (~v113(constB95)))),
% 27.75/18.32 inference(transitivity,[status(thm)],[12516, 12514])).
% 27.75/18.32 tff(12518,plain,
% 27.75/18.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))),
% 27.75/18.32 inference(quant_inst,[status(thm)],[])).
% 27.75/18.32 tff(12519,plain,
% 27.75/18.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | v112(constB95) | (~v113(constB95))),
% 27.75/18.32 inference(modus_ponens,[status(thm)],[12518, 12517])).
% 27.75/18.32 tff(12520,plain,
% 27.75/18.32 (v26(constB95) | v112(constB95)),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12519, 328, 12513])).
% 27.75/18.32 tff(12521,plain,
% 27.75/18.32 ($false),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12520, 12512, 12505])).
% 27.75/18.32 tff(12522,plain,(v108(constB95) | (~v113(constB95))), inference(lemma,lemma(discharge,[]))).
% 27.75/18.32 tff(12523,plain,
% 27.75/18.32 (v108(constB95)),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12522, 12497])).
% 27.75/18.32 tff(12524,plain,
% 27.75/18.32 (nextState(constB95, constB96) <=> nextState(constB95, constB96)),
% 27.75/18.32 inference(rewrite,[status(thm)],[])).
% 27.75/18.32 tff(12525,axiom,(nextState(constB95, constB96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_95_1')).
% 27.75/18.32 tff(12526,plain,
% 27.75/18.32 (nextState(constB95, constB96)),
% 27.75/18.32 inference(modus_ponens,[status(thm)],[12525, 12524])).
% 27.75/18.32 tff(12527,plain,
% 27.75/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 27.75/18.32 inference(rewrite,[status(thm)],[])).
% 27.75/18.32 tff(12528,plain,
% 27.75/18.32 (((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96)) <=> ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 27.75/18.32 inference(rewrite,[status(thm)],[])).
% 27.75/18.32 tff(12529,plain,
% 27.75/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95))))),
% 27.75/18.32 inference(monotonicity,[status(thm)],[12528])).
% 27.75/18.32 tff(12530,plain,
% 27.75/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 27.75/18.32 inference(transitivity,[status(thm)],[12529, 12527])).
% 27.75/18.32 tff(12531,plain,
% 27.75/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))),
% 27.75/18.32 inference(quant_inst,[status(thm)],[])).
% 27.75/18.32 tff(12532,plain,
% 27.75/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95))),
% 27.75/18.32 inference(modus_ponens,[status(thm)],[12531, 12530])).
% 27.75/18.32 tff(12533,plain,
% 27.75/18.32 (v110(constB96) | (~v108(constB95))),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12532, 360, 12526])).
% 27.75/18.32 tff(12534,plain,
% 27.75/18.32 (v110(constB96)),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12533, 12523])).
% 27.75/18.32 tff(12535,plain,
% 27.75/18.32 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))),
% 27.75/18.32 inference(rewrite,[status(thm)],[])).
% 27.75/18.32 tff(12536,plain,
% 27.75/18.32 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))),
% 27.75/18.32 inference(quant_inst,[status(thm)],[])).
% 27.75/18.32 tff(12537,plain,
% 27.75/18.32 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96))),
% 27.75/18.32 inference(modus_ponens,[status(thm)],[12536, 12535])).
% 27.75/18.32 tff(12538,plain,
% 27.75/18.32 (~v104(constB96)),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12537, 378, 12526, 12396])).
% 27.75/18.32 tff(12539,plain,
% 27.75/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))),
% 27.75/18.32 inference(rewrite,[status(thm)],[])).
% 27.75/18.32 tff(12540,plain,
% 27.75/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))),
% 27.75/18.32 inference(quant_inst,[status(thm)],[])).
% 27.75/18.32 tff(12541,plain,
% 27.75/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB95, constB96)) | v102(constB96) | v104(constB96)),
% 27.75/18.32 inference(modus_ponens,[status(thm)],[12540, 12539])).
% 27.75/18.32 tff(12542,plain,
% 27.75/18.32 (v102(constB96) | v104(constB96)),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12541, 392, 12526])).
% 27.75/18.32 tff(12543,plain,
% 27.75/18.32 (v102(constB96)),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12542, 12538])).
% 27.75/18.32 tff(12544,plain,
% 27.75/18.32 (v1(constB96) <=> v1(constB96)),
% 27.75/18.32 inference(rewrite,[status(thm)],[])).
% 27.75/18.32 tff(12545,axiom,(v1(constB96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_96_1')).
% 27.75/18.32 tff(12546,plain,
% 27.75/18.32 (v1(constB96)),
% 27.75/18.32 inference(modus_ponens,[status(thm)],[12545, 12544])).
% 27.75/18.32 tff(12547,plain,
% 27.75/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))),
% 27.75/18.32 inference(rewrite,[status(thm)],[])).
% 27.75/18.32 tff(12548,plain,
% 27.75/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))),
% 27.75/18.32 inference(quant_inst,[status(thm)],[])).
% 27.75/18.32 tff(12549,plain,
% 27.75/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96))),
% 27.75/18.32 inference(modus_ponens,[status(thm)],[12548, 12547])).
% 27.75/18.32 tff(12550,plain,
% 27.75/18.32 (v101(constB96) | (~v102(constB96))),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12549, 410, 12526, 12546])).
% 27.75/18.32 tff(12551,plain,
% 27.75/18.32 (v101(constB96)),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12550, 12543])).
% 27.75/18.32 tff(12552,plain,
% 27.75/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 27.75/18.32 inference(rewrite,[status(thm)],[])).
% 27.75/18.32 tff(12553,plain,
% 27.75/18.32 (((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96)) <=> ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 27.75/18.32 inference(rewrite,[status(thm)],[])).
% 27.75/18.32 tff(12554,plain,
% 27.75/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96))))),
% 27.75/18.32 inference(monotonicity,[status(thm)],[12553])).
% 27.75/18.32 tff(12555,plain,
% 27.75/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 27.75/18.32 inference(transitivity,[status(thm)],[12554, 12552])).
% 27.75/18.32 tff(12556,plain,
% 27.75/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))),
% 27.75/18.32 inference(quant_inst,[status(thm)],[])).
% 27.75/18.32 tff(12557,plain,
% 27.75/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96))),
% 27.75/18.32 inference(modus_ponens,[status(thm)],[12556, 12555])).
% 27.75/18.32 tff(12558,plain,
% 27.75/18.32 (v100(constB96) | (~v101(constB96)) | (~v110(constB96))),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12557, 425, 12526])).
% 27.75/18.32 tff(12559,plain,
% 27.75/18.32 (v100(constB96) | (~v110(constB96))),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12558, 12551])).
% 27.75/18.32 tff(12560,plain,
% 27.75/18.32 (v100(constB96)),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12559, 12534])).
% 27.75/18.32 tff(12561,plain,
% 27.75/18.32 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB95)) | v130(constB95, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB95)) | v130(constB95, 2))),
% 27.75/18.32 inference(rewrite,[status(thm)],[])).
% 27.75/18.32 tff(12562,plain,
% 27.75/18.32 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB95)) | v130(constB95, 2))),
% 27.75/18.32 inference(quant_inst,[status(thm)],[])).
% 27.75/18.32 tff(12563,plain,
% 27.75/18.32 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB95)) | v130(constB95, 2)),
% 27.75/18.32 inference(modus_ponens,[status(thm)],[12562, 12561])).
% 27.75/18.32 tff(12564,plain,
% 27.75/18.32 (v130(constB95, 2)),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12563, 1873, 12489])).
% 27.75/18.32 tff(12565,assumption,(v26(constB95)), introduced(assumption)).
% 27.75/18.32 tff(12566,plain,
% 27.75/18.32 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB95))),
% 27.75/18.32 inference(quant_inst,[status(thm)],[])).
% 27.75/18.32 tff(12567,plain,
% 27.75/18.32 ($false),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12566, 95, 12565])).
% 27.75/18.32 tff(12568,plain,(~v26(constB95)), inference(lemma,lemma(discharge,[]))).
% 27.75/18.32 tff(12569,plain,
% 27.75/18.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB95) | (~v130(constB95, 2)) | v127(constB95, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB95) | (~v130(constB95, 2)) | v127(constB95, 2))),
% 27.75/18.32 inference(rewrite,[status(thm)],[])).
% 27.75/18.32 tff(12570,plain,
% 27.75/18.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB95) | (~v130(constB95, 2)) | v127(constB95, 2))),
% 27.75/18.32 inference(quant_inst,[status(thm)],[])).
% 27.75/18.32 tff(12571,plain,
% 27.75/18.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB95) | (~v130(constB95, 2)) | v127(constB95, 2)),
% 27.75/18.32 inference(modus_ponens,[status(thm)],[12570, 12569])).
% 27.75/18.32 tff(12572,plain,
% 27.75/18.32 ((~v130(constB95, 2)) | v127(constB95, 2)),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12571, 1498, 12568])).
% 27.75/18.32 tff(12573,plain,
% 27.75/18.32 (v127(constB95, 2)),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12572, 12564])).
% 27.75/18.32 tff(12574,plain,
% 27.75/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB95, constB96)) | (~v127(constB95, 2)) | v129(constB96, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB95, constB96)) | (~v127(constB95, 2)) | v129(constB96, 2))),
% 27.75/18.32 inference(rewrite,[status(thm)],[])).
% 27.75/18.32 tff(12575,plain,
% 27.75/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB95, constB96)) | (~v127(constB95, 2)) | v129(constB96, 2))),
% 27.75/18.32 inference(quant_inst,[status(thm)],[])).
% 27.75/18.32 tff(12576,plain,
% 27.75/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB95, constB96)) | (~v127(constB95, 2)) | v129(constB96, 2)),
% 27.75/18.32 inference(modus_ponens,[status(thm)],[12575, 12574])).
% 27.75/18.32 tff(12577,plain,
% 27.75/18.32 ((~v127(constB95, 2)) | v129(constB96, 2)),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12576, 1513, 12526])).
% 27.75/18.32 tff(12578,plain,
% 27.75/18.32 (v129(constB96, 2)),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12577, 12573])).
% 27.75/18.32 tff(12579,plain,
% 27.75/18.32 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB96, 2) | (~v129(constB96, 2)) | (~v100(constB96)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB96, 2) | (~v129(constB96, 2)) | (~v100(constB96)))),
% 27.75/18.32 inference(rewrite,[status(thm)],[])).
% 27.75/18.32 tff(12580,plain,
% 27.75/18.32 ((v90(constB96, 2) | (~v100(constB96)) | (~v129(constB96, 2))) <=> (v90(constB96, 2) | (~v129(constB96, 2)) | (~v100(constB96)))),
% 27.75/18.32 inference(rewrite,[status(thm)],[])).
% 27.75/18.32 tff(12581,plain,
% 27.75/18.32 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB96, 2) | (~v100(constB96)) | (~v129(constB96, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB96, 2) | (~v129(constB96, 2)) | (~v100(constB96))))),
% 27.75/18.32 inference(monotonicity,[status(thm)],[12580])).
% 27.75/18.32 tff(12582,plain,
% 27.75/18.32 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB96, 2) | (~v100(constB96)) | (~v129(constB96, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB96, 2) | (~v129(constB96, 2)) | (~v100(constB96)))),
% 27.75/18.32 inference(transitivity,[status(thm)],[12581, 12579])).
% 27.75/18.32 tff(12583,plain,
% 27.75/18.32 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB96, 2) | (~v100(constB96)) | (~v129(constB96, 2)))),
% 27.75/18.32 inference(quant_inst,[status(thm)],[])).
% 27.75/18.32 tff(12584,plain,
% 27.75/18.32 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB96, 2) | (~v129(constB96, 2)) | (~v100(constB96))),
% 27.75/18.32 inference(modus_ponens,[status(thm)],[12583, 12582])).
% 27.75/18.32 tff(12585,plain,
% 27.75/18.32 (v90(constB96, 2) | (~v100(constB96))),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12584, 1528, 12578])).
% 27.75/18.32 tff(12586,plain,
% 27.75/18.32 (v90(constB96, 2)),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12585, 12560])).
% 27.75/18.32 tff(12587,plain,
% 27.75/18.32 ((~v1(constB97)) <=> (~v1(constB97))),
% 27.75/18.32 inference(rewrite,[status(thm)],[])).
% 27.75/18.32 tff(12588,axiom,(~v1(constB97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_97_1_1')).
% 27.75/18.32 tff(12589,plain,
% 27.75/18.32 (~v1(constB97)),
% 27.75/18.32 inference(modus_ponens,[status(thm)],[12588, 12587])).
% 27.75/18.32 tff(12590,plain,
% 27.75/18.32 (nextState(constB96, constB97) <=> nextState(constB96, constB97)),
% 27.75/18.32 inference(rewrite,[status(thm)],[])).
% 27.75/18.32 tff(12591,axiom,(nextState(constB96, constB97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_96_1')).
% 27.75/18.32 tff(12592,plain,
% 27.75/18.32 (nextState(constB96, constB97)),
% 27.75/18.32 inference(modus_ponens,[status(thm)],[12591, 12590])).
% 27.75/18.32 tff(12593,plain,
% 27.75/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 27.75/18.32 inference(rewrite,[status(thm)],[])).
% 27.75/18.32 tff(12594,plain,
% 27.75/18.32 (((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97)) <=> (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 27.75/18.32 inference(rewrite,[status(thm)],[])).
% 27.75/18.32 tff(12595,plain,
% 27.75/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97))))),
% 27.75/18.32 inference(monotonicity,[status(thm)],[12594])).
% 27.75/18.32 tff(12596,plain,
% 27.75/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 27.75/18.32 inference(transitivity,[status(thm)],[12595, 12593])).
% 27.75/18.32 tff(12597,plain,
% 27.75/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))),
% 27.75/18.32 inference(quant_inst,[status(thm)],[])).
% 27.75/18.32 tff(12598,plain,
% 27.75/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97))),
% 27.75/18.32 inference(modus_ponens,[status(thm)],[12597, 12596])).
% 27.75/18.32 tff(12599,plain,
% 27.75/18.32 (~v101(constB97)),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12598, 138, 12592, 12589])).
% 27.75/18.32 tff(12600,plain,
% 27.75/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))),
% 27.75/18.32 inference(rewrite,[status(thm)],[])).
% 27.75/18.32 tff(12601,plain,
% 27.75/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))),
% 27.75/18.32 inference(quant_inst,[status(thm)],[])).
% 27.75/18.32 tff(12602,plain,
% 27.75/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97))),
% 27.75/18.32 inference(modus_ponens,[status(thm)],[12601, 12600])).
% 27.75/18.32 tff(12603,plain,
% 27.75/18.32 (v101(constB97) | (~v100(constB97))),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12602, 155, 12592])).
% 27.75/18.32 tff(12604,plain,
% 27.75/18.32 (~v100(constB97)),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12603, 12599])).
% 27.75/18.32 tff(12605,plain,
% 27.75/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB96, 2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB96, 2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 2))),
% 27.75/18.32 inference(rewrite,[status(thm)],[])).
% 27.75/18.32 tff(12606,plain,
% 27.75/18.32 (((~nextState(constB96, constB97)) | (~v90(constB96, 2)) | v100(constB97) | v90(constB97, 2)) <=> ((~v90(constB96, 2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 2))),
% 27.75/18.32 inference(rewrite,[status(thm)],[])).
% 27.75/18.32 tff(12607,plain,
% 27.75/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB96, constB97)) | (~v90(constB96, 2)) | v100(constB97) | v90(constB97, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB96, 2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 2)))),
% 27.75/18.32 inference(monotonicity,[status(thm)],[12606])).
% 27.75/18.32 tff(12608,plain,
% 27.75/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB96, constB97)) | (~v90(constB96, 2)) | v100(constB97) | v90(constB97, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB96, 2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 2))),
% 27.75/18.32 inference(transitivity,[status(thm)],[12607, 12605])).
% 27.75/18.32 tff(12609,plain,
% 27.75/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB96, constB97)) | (~v90(constB96, 2)) | v100(constB97) | v90(constB97, 2))),
% 27.75/18.32 inference(quant_inst,[status(thm)],[])).
% 27.75/18.32 tff(12610,plain,
% 27.75/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB96, 2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 2)),
% 27.75/18.32 inference(modus_ponens,[status(thm)],[12609, 12608])).
% 27.75/18.32 tff(12611,plain,
% 27.75/18.32 ((~v90(constB96, 2)) | v100(constB97) | v90(constB97, 2)),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12610, 1546, 12592])).
% 27.75/18.32 tff(12612,plain,
% 27.75/18.32 ((~v90(constB96, 2)) | v90(constB97, 2)),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12611, 12604])).
% 27.75/18.32 tff(12613,plain,
% 27.75/18.32 (v90(constB97, 2)),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12612, 12586])).
% 27.75/18.32 tff(12614,plain,
% 27.75/18.32 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB95)) | v130(constB95, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB95)) | v130(constB95, 1))),
% 27.75/18.32 inference(rewrite,[status(thm)],[])).
% 27.75/18.32 tff(12615,plain,
% 27.75/18.32 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB95)) | v130(constB95, 1))),
% 27.75/18.32 inference(quant_inst,[status(thm)],[])).
% 27.75/18.32 tff(12616,plain,
% 27.75/18.32 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB95)) | v130(constB95, 1)),
% 27.75/18.32 inference(modus_ponens,[status(thm)],[12615, 12614])).
% 27.75/18.32 tff(12617,plain,
% 27.75/18.32 (v130(constB95, 1)),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12616, 1929, 12489])).
% 27.75/18.32 tff(12618,plain,
% 27.75/18.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB95) | (~v130(constB95, 1)) | v127(constB95, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB95) | (~v130(constB95, 1)) | v127(constB95, 1))),
% 27.75/18.32 inference(rewrite,[status(thm)],[])).
% 27.75/18.32 tff(12619,plain,
% 27.75/18.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB95) | (~v130(constB95, 1)) | v127(constB95, 1))),
% 27.75/18.32 inference(quant_inst,[status(thm)],[])).
% 27.75/18.32 tff(12620,plain,
% 27.75/18.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB95) | (~v130(constB95, 1)) | v127(constB95, 1)),
% 27.75/18.32 inference(modus_ponens,[status(thm)],[12619, 12618])).
% 27.75/18.32 tff(12621,plain,
% 27.75/18.32 ((~v130(constB95, 1)) | v127(constB95, 1)),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12620, 855, 12568])).
% 27.75/18.32 tff(12622,plain,
% 27.75/18.32 (v127(constB95, 1)),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12621, 12617])).
% 27.75/18.32 tff(12623,plain,
% 27.75/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB95, constB96)) | (~v127(constB95, 1)) | v129(constB96, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB95, constB96)) | (~v127(constB95, 1)) | v129(constB96, 1))),
% 27.75/18.32 inference(rewrite,[status(thm)],[])).
% 27.75/18.32 tff(12624,plain,
% 27.75/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB95, constB96)) | (~v127(constB95, 1)) | v129(constB96, 1))),
% 27.75/18.32 inference(quant_inst,[status(thm)],[])).
% 27.75/18.32 tff(12625,plain,
% 27.75/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB95, constB96)) | (~v127(constB95, 1)) | v129(constB96, 1)),
% 27.75/18.32 inference(modus_ponens,[status(thm)],[12624, 12623])).
% 27.75/18.32 tff(12626,plain,
% 27.75/18.32 ((~v127(constB95, 1)) | v129(constB96, 1)),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12625, 870, 12526])).
% 27.75/18.32 tff(12627,plain,
% 27.75/18.32 (v129(constB96, 1)),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12626, 12622])).
% 27.75/18.32 tff(12628,plain,
% 27.75/18.32 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB96, 1) | (~v129(constB96, 1)) | (~v100(constB96)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB96, 1) | (~v129(constB96, 1)) | (~v100(constB96)))),
% 27.75/18.32 inference(rewrite,[status(thm)],[])).
% 27.75/18.32 tff(12629,plain,
% 27.75/18.32 ((v90(constB96, 1) | (~v100(constB96)) | (~v129(constB96, 1))) <=> (v90(constB96, 1) | (~v129(constB96, 1)) | (~v100(constB96)))),
% 27.75/18.32 inference(rewrite,[status(thm)],[])).
% 27.75/18.32 tff(12630,plain,
% 27.75/18.32 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB96, 1) | (~v100(constB96)) | (~v129(constB96, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB96, 1) | (~v129(constB96, 1)) | (~v100(constB96))))),
% 27.75/18.32 inference(monotonicity,[status(thm)],[12629])).
% 27.75/18.32 tff(12631,plain,
% 27.75/18.32 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB96, 1) | (~v100(constB96)) | (~v129(constB96, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB96, 1) | (~v129(constB96, 1)) | (~v100(constB96)))),
% 27.75/18.32 inference(transitivity,[status(thm)],[12630, 12628])).
% 27.75/18.32 tff(12632,plain,
% 27.75/18.32 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB96, 1) | (~v100(constB96)) | (~v129(constB96, 1)))),
% 27.75/18.32 inference(quant_inst,[status(thm)],[])).
% 27.75/18.32 tff(12633,plain,
% 27.75/18.32 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB96, 1) | (~v129(constB96, 1)) | (~v100(constB96))),
% 27.75/18.32 inference(modus_ponens,[status(thm)],[12632, 12631])).
% 27.75/18.32 tff(12634,plain,
% 27.75/18.32 (v90(constB96, 1) | (~v100(constB96))),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12633, 885, 12627])).
% 27.75/18.32 tff(12635,plain,
% 27.75/18.32 (v90(constB96, 1)),
% 27.75/18.32 inference(unit_resolution,[status(thm)],[12634, 12560])).
% 27.75/18.32 tff(12636,plain,
% 27.75/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB96, 1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB96, 1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 1))),
% 27.81/18.32 inference(rewrite,[status(thm)],[])).
% 27.81/18.32 tff(12637,plain,
% 27.81/18.32 (((~nextState(constB96, constB97)) | (~v90(constB96, 1)) | v100(constB97) | v90(constB97, 1)) <=> ((~v90(constB96, 1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 1))),
% 27.81/18.32 inference(rewrite,[status(thm)],[])).
% 27.81/18.32 tff(12638,plain,
% 27.81/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB96, constB97)) | (~v90(constB96, 1)) | v100(constB97) | v90(constB97, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB96, 1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 1)))),
% 27.81/18.32 inference(monotonicity,[status(thm)],[12637])).
% 27.81/18.32 tff(12639,plain,
% 27.81/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB96, constB97)) | (~v90(constB96, 1)) | v100(constB97) | v90(constB97, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB96, 1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 1))),
% 27.81/18.32 inference(transitivity,[status(thm)],[12638, 12636])).
% 27.81/18.32 tff(12640,plain,
% 27.81/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB96, constB97)) | (~v90(constB96, 1)) | v100(constB97) | v90(constB97, 1))),
% 27.81/18.32 inference(quant_inst,[status(thm)],[])).
% 27.81/18.32 tff(12641,plain,
% 27.81/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB96, 1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 1)),
% 27.81/18.32 inference(modus_ponens,[status(thm)],[12640, 12639])).
% 27.81/18.32 tff(12642,plain,
% 27.81/18.32 ((~v90(constB96, 1)) | v100(constB97) | v90(constB97, 1)),
% 27.81/18.32 inference(unit_resolution,[status(thm)],[12641, 903, 12592])).
% 27.81/18.32 tff(12643,plain,
% 27.81/18.32 ((~v90(constB96, 1)) | v90(constB97, 1)),
% 27.81/18.32 inference(unit_resolution,[status(thm)],[12642, 12604])).
% 27.81/18.32 tff(12644,plain,
% 27.81/18.32 (v90(constB97, 1)),
% 27.81/18.32 inference(unit_resolution,[status(thm)],[12643, 12635])).
% 27.81/18.32 tff(12645,plain,
% 27.81/18.32 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB95)) | (~v130(constB95, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB95)) | (~v130(constB95, 0)))),
% 27.81/18.32 inference(rewrite,[status(thm)],[])).
% 27.81/18.32 tff(12646,plain,
% 27.81/18.32 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB95)) | (~v130(constB95, 0)))),
% 27.81/18.32 inference(quant_inst,[status(thm)],[])).
% 27.81/18.32 tff(12647,plain,
% 27.81/18.32 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB95)) | (~v130(constB95, 0))),
% 27.81/18.32 inference(modus_ponens,[status(thm)],[12646, 12645])).
% 27.81/18.32 tff(12648,plain,
% 27.81/18.32 (~v130(constB95, 0)),
% 27.81/18.32 inference(unit_resolution,[status(thm)],[12647, 1967, 12489])).
% 27.81/18.32 tff(12649,plain,
% 27.81/18.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB95, 0)) | v26(constB95) | v130(constB95, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB95, 0)) | v26(constB95) | v130(constB95, 0))),
% 27.81/18.32 inference(rewrite,[status(thm)],[])).
% 27.81/18.32 tff(12650,plain,
% 27.81/18.32 ((v26(constB95) | v130(constB95, 0) | (~v127(constB95, 0))) <=> ((~v127(constB95, 0)) | v26(constB95) | v130(constB95, 0))),
% 27.81/18.32 inference(rewrite,[status(thm)],[])).
% 27.81/18.32 tff(12651,plain,
% 27.81/18.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB95) | v130(constB95, 0) | (~v127(constB95, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB95, 0)) | v26(constB95) | v130(constB95, 0)))),
% 27.81/18.32 inference(monotonicity,[status(thm)],[12650])).
% 27.81/18.32 tff(12652,plain,
% 27.81/18.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB95) | v130(constB95, 0) | (~v127(constB95, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB95, 0)) | v26(constB95) | v130(constB95, 0))),
% 27.81/18.32 inference(transitivity,[status(thm)],[12651, 12649])).
% 27.81/18.32 tff(12653,plain,
% 27.81/18.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB95) | v130(constB95, 0) | (~v127(constB95, 0)))),
% 27.81/18.32 inference(quant_inst,[status(thm)],[])).
% 27.81/18.32 tff(12654,plain,
% 27.81/18.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB95, 0)) | v26(constB95) | v130(constB95, 0)),
% 27.81/18.32 inference(modus_ponens,[status(thm)],[12653, 12652])).
% 27.81/18.32 tff(12655,plain,
% 27.81/18.32 ((~v127(constB95, 0)) | v130(constB95, 0)),
% 27.81/18.32 inference(unit_resolution,[status(thm)],[12654, 933, 12568])).
% 27.81/18.32 tff(12656,plain,
% 27.81/18.32 (~v127(constB95, 0)),
% 27.81/18.32 inference(unit_resolution,[status(thm)],[12655, 12648])).
% 27.81/18.32 tff(12657,plain,
% 27.81/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB95, constB96)) | v127(constB95, 0) | (~v129(constB96, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB95, constB96)) | v127(constB95, 0) | (~v129(constB96, 0)))),
% 27.81/18.32 inference(rewrite,[status(thm)],[])).
% 27.81/18.32 tff(12658,plain,
% 27.81/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB95, constB96)) | v127(constB95, 0) | (~v129(constB96, 0)))),
% 27.81/18.32 inference(quant_inst,[status(thm)],[])).
% 27.81/18.32 tff(12659,plain,
% 27.81/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB95, constB96)) | v127(constB95, 0) | (~v129(constB96, 0))),
% 27.81/18.32 inference(modus_ponens,[status(thm)],[12658, 12657])).
% 27.81/18.32 tff(12660,plain,
% 27.81/18.32 (v127(constB95, 0) | (~v129(constB96, 0))),
% 27.81/18.32 inference(unit_resolution,[status(thm)],[12659, 951, 12526])).
% 27.81/18.32 tff(12661,plain,
% 27.81/18.32 (~v129(constB96, 0)),
% 27.81/18.32 inference(unit_resolution,[status(thm)],[12660, 12656])).
% 27.81/18.32 tff(12662,plain,
% 27.81/18.32 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB96, 0)) | v129(constB96, 0) | (~v100(constB96)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB96, 0)) | v129(constB96, 0) | (~v100(constB96)))),
% 27.81/18.32 inference(rewrite,[status(thm)],[])).
% 27.81/18.32 tff(12663,plain,
% 27.81/18.32 (((~v90(constB96, 0)) | (~v100(constB96)) | v129(constB96, 0)) <=> ((~v90(constB96, 0)) | v129(constB96, 0) | (~v100(constB96)))),
% 27.81/18.32 inference(rewrite,[status(thm)],[])).
% 27.81/18.32 tff(12664,plain,
% 27.81/18.32 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB96, 0)) | (~v100(constB96)) | v129(constB96, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB96, 0)) | v129(constB96, 0) | (~v100(constB96))))),
% 27.81/18.32 inference(monotonicity,[status(thm)],[12663])).
% 27.81/18.32 tff(12665,plain,
% 27.81/18.32 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB96, 0)) | (~v100(constB96)) | v129(constB96, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB96, 0)) | v129(constB96, 0) | (~v100(constB96)))),
% 27.81/18.32 inference(transitivity,[status(thm)],[12664, 12662])).
% 27.81/18.32 tff(12666,plain,
% 27.81/18.32 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB96, 0)) | (~v100(constB96)) | v129(constB96, 0))),
% 27.81/18.32 inference(quant_inst,[status(thm)],[])).
% 27.81/18.32 tff(12667,plain,
% 27.81/18.32 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB96, 0)) | v129(constB96, 0) | (~v100(constB96))),
% 27.81/18.32 inference(modus_ponens,[status(thm)],[12666, 12665])).
% 27.81/18.32 tff(12668,plain,
% 27.81/18.32 ((~v90(constB96, 0)) | (~v100(constB96))),
% 27.81/18.32 inference(unit_resolution,[status(thm)],[12667, 966, 12661])).
% 27.81/18.32 tff(12669,plain,
% 27.81/18.32 (~v90(constB96, 0)),
% 27.81/18.32 inference(unit_resolution,[status(thm)],[12668, 12560])).
% 27.81/18.32 tff(12670,plain,
% 27.81/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB96, 0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB96, 0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 0)))),
% 27.81/18.32 inference(rewrite,[status(thm)],[])).
% 27.81/18.32 tff(12671,plain,
% 27.81/18.32 (((~nextState(constB96, constB97)) | v90(constB96, 0) | v100(constB97) | (~v90(constB97, 0))) <=> (v90(constB96, 0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 0)))),
% 27.81/18.32 inference(rewrite,[status(thm)],[])).
% 27.81/18.32 tff(12672,plain,
% 27.81/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB96, constB97)) | v90(constB96, 0) | v100(constB97) | (~v90(constB97, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB96, 0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 0))))),
% 27.81/18.32 inference(monotonicity,[status(thm)],[12671])).
% 27.81/18.32 tff(12673,plain,
% 27.81/18.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB96, constB97)) | v90(constB96, 0) | v100(constB97) | (~v90(constB97, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB96, 0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 0)))),
% 27.81/18.32 inference(transitivity,[status(thm)],[12672, 12670])).
% 27.81/18.32 tff(12674,plain,
% 27.81/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB96, constB97)) | v90(constB96, 0) | v100(constB97) | (~v90(constB97, 0)))),
% 27.81/18.32 inference(quant_inst,[status(thm)],[])).
% 27.81/18.32 tff(12675,plain,
% 27.81/18.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB96, 0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 0))),
% 27.81/18.32 inference(modus_ponens,[status(thm)],[12674, 12673])).
% 27.81/18.32 tff(12676,plain,
% 27.81/18.32 (v90(constB96, 0) | v100(constB97) | (~v90(constB97, 0))),
% 27.81/18.32 inference(unit_resolution,[status(thm)],[12675, 212, 12592])).
% 27.81/18.32 tff(12677,plain,
% 27.81/18.32 (v90(constB96, 0) | (~v90(constB97, 0))),
% 27.81/18.32 inference(unit_resolution,[status(thm)],[12676, 12604])).
% 27.81/18.32 tff(12678,plain,
% 27.81/18.32 (~v90(constB97, 0)),
% 27.81/18.32 inference(unit_resolution,[status(thm)],[12677, 12669])).
% 27.81/18.32 tff(12679,plain,
% 27.81/18.32 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB97, 0) | (~v90(constB97, 1)) | (~v90(constB97, 2)) | v125(constB97))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB97, 0) | (~v90(constB97, 1)) | (~v90(constB97, 2)) | v125(constB97))),
% 27.81/18.32 inference(rewrite,[status(thm)],[])).
% 27.81/18.32 tff(12680,plain,
% 27.81/18.32 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB97, 0) | (~v90(constB97, 1)) | (~v90(constB97, 2)) | v125(constB97))),
% 27.81/18.32 inference(quant_inst,[status(thm)],[])).
% 27.81/18.32 tff(12681,plain,
% 27.81/18.32 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB97, 0) | (~v90(constB97, 1)) | (~v90(constB97, 2)) | v125(constB97)),
% 27.81/18.32 inference(modus_ponens,[status(thm)],[12680, 12679])).
% 27.81/18.32 tff(12682,plain,
% 27.81/18.32 (v125(constB97)),
% 27.81/18.32 inference(unit_resolution,[status(thm)],[12681, 2011, 12678, 12644, 12613])).
% 27.81/18.32 tff(12683,plain,
% 27.81/18.32 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB97)) | v113(constB97))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB97)) | v113(constB97))),
% 27.81/18.32 inference(rewrite,[status(thm)],[])).
% 27.81/18.32 tff(12684,plain,
% 27.81/18.32 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB97)) | v113(constB97))),
% 27.81/18.32 inference(quant_inst,[status(thm)],[])).
% 27.81/18.32 tff(12685,plain,
% 27.81/18.32 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB97)) | v113(constB97)),
% 27.81/18.32 inference(modus_ponens,[status(thm)],[12684, 12683])).
% 27.81/18.32 tff(12686,plain,
% 27.81/18.32 (v113(constB97)),
% 27.81/18.32 inference(unit_resolution,[status(thm)],[12685, 2022, 12682])).
% 27.81/18.32 tff(12687,assumption,(v26(constB97)), introduced(assumption)).
% 27.81/18.32 tff(12688,plain,
% 27.81/18.32 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB97))),
% 27.81/18.32 inference(quant_inst,[status(thm)],[])).
% 27.81/18.32 tff(12689,plain,
% 27.81/18.32 ($false),
% 27.81/18.32 inference(unit_resolution,[status(thm)],[12688, 95, 12687])).
% 27.81/18.32 tff(12690,plain,(~v26(constB97)), inference(lemma,lemma(discharge,[]))).
% 27.81/18.32 tff(12691,plain,
% 27.81/18.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | (~v113(constB97)) | v112(constB97))),
% 27.81/18.32 inference(rewrite,[status(thm)],[])).
% 27.81/18.32 tff(12692,plain,
% 27.81/18.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12693,plain,
% 27.81/18.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | (~v113(constB97)) | v112(constB97)),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12692, 12691])).
% 27.81/18.33 tff(12694,plain,
% 27.81/18.33 ((~v113(constB97)) | v112(constB97)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12693, 328, 12690])).
% 27.81/18.33 tff(12695,plain,
% 27.81/18.33 (v112(constB97)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12694, 12686])).
% 27.81/18.33 tff(12696,plain,
% 27.81/18.33 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB97) | (~v112(constB97)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB97) | (~v112(constB97)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12697,plain,
% 27.81/18.33 (((~v112(constB97)) | v108(constB97)) <=> (v108(constB97) | (~v112(constB97)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12698,plain,
% 27.81/18.33 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB97)) | v108(constB97))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB97) | (~v112(constB97))))),
% 27.81/18.33 inference(monotonicity,[status(thm)],[12697])).
% 27.81/18.33 tff(12699,plain,
% 27.81/18.33 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB97)) | v108(constB97))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB97) | (~v112(constB97)))),
% 27.81/18.33 inference(transitivity,[status(thm)],[12698, 12696])).
% 27.81/18.33 tff(12700,plain,
% 27.81/18.33 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB97)) | v108(constB97))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12701,plain,
% 27.81/18.33 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB97) | (~v112(constB97))),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12700, 12699])).
% 27.81/18.33 tff(12702,plain,
% 27.81/18.33 (v108(constB97)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12701, 340, 12695])).
% 27.81/18.33 tff(12703,plain,
% 27.81/18.33 (nextState(constB97, constB98) <=> nextState(constB97, constB98)),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12704,axiom,(nextState(constB97, constB98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_97_1')).
% 27.81/18.33 tff(12705,plain,
% 27.81/18.33 (nextState(constB97, constB98)),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12704, 12703])).
% 27.81/18.33 tff(12706,plain,
% 27.81/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12707,plain,
% 27.81/18.33 (((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98)) <=> ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12708,plain,
% 27.81/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97))))),
% 27.81/18.33 inference(monotonicity,[status(thm)],[12707])).
% 27.81/18.33 tff(12709,plain,
% 27.81/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 27.81/18.33 inference(transitivity,[status(thm)],[12708, 12706])).
% 27.81/18.33 tff(12710,plain,
% 27.81/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12711,plain,
% 27.81/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97))),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12710, 12709])).
% 27.81/18.33 tff(12712,plain,
% 27.81/18.33 (v110(constB98) | (~v108(constB97))),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12711, 360, 12705])).
% 27.81/18.33 tff(12713,plain,
% 27.81/18.33 (v110(constB98)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12712, 12702])).
% 27.81/18.33 tff(12714,plain,
% 27.81/18.33 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12715,plain,
% 27.81/18.33 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12716,plain,
% 27.81/18.33 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98))),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12715, 12714])).
% 27.81/18.33 tff(12717,plain,
% 27.81/18.33 (~v104(constB98)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12716, 378, 12705, 12589])).
% 27.81/18.33 tff(12718,plain,
% 27.81/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12719,plain,
% 27.81/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12720,plain,
% 27.81/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB97, constB98)) | v102(constB98) | v104(constB98)),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12719, 12718])).
% 27.81/18.33 tff(12721,plain,
% 27.81/18.33 (v102(constB98) | v104(constB98)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12720, 392, 12705])).
% 27.81/18.33 tff(12722,plain,
% 27.81/18.33 (v102(constB98)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12721, 12717])).
% 27.81/18.33 tff(12723,plain,
% 27.81/18.33 (v1(constB98) <=> v1(constB98)),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12724,axiom,(v1(constB98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_98_1')).
% 27.81/18.33 tff(12725,plain,
% 27.81/18.33 (v1(constB98)),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12724, 12723])).
% 27.81/18.33 tff(12726,plain,
% 27.81/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12727,plain,
% 27.81/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12728,plain,
% 27.81/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98))),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12727, 12726])).
% 27.81/18.33 tff(12729,plain,
% 27.81/18.33 (v101(constB98) | (~v102(constB98))),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12728, 410, 12705, 12725])).
% 27.81/18.33 tff(12730,plain,
% 27.81/18.33 (v101(constB98)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12729, 12722])).
% 27.81/18.33 tff(12731,plain,
% 27.81/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12732,plain,
% 27.81/18.33 (((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98)) <=> ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12733,plain,
% 27.81/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98))))),
% 27.81/18.33 inference(monotonicity,[status(thm)],[12732])).
% 27.81/18.33 tff(12734,plain,
% 27.81/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 27.81/18.33 inference(transitivity,[status(thm)],[12733, 12731])).
% 27.81/18.33 tff(12735,plain,
% 27.81/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12736,plain,
% 27.81/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98))),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12735, 12734])).
% 27.81/18.33 tff(12737,plain,
% 27.81/18.33 (v100(constB98) | (~v101(constB98)) | (~v110(constB98))),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12736, 425, 12705])).
% 27.81/18.33 tff(12738,plain,
% 27.81/18.33 (v100(constB98) | (~v110(constB98))),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12737, 12730])).
% 27.81/18.33 tff(12739,plain,
% 27.81/18.33 (v100(constB98)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12738, 12713])).
% 27.81/18.33 tff(12740,plain,
% 27.81/18.33 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB97)) | (~v90(constB97, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB97)) | (~v90(constB97, 2)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12741,plain,
% 27.81/18.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB97)) | (~v90(constB97, 2)))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12742,plain,
% 27.81/18.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB97)) | (~v90(constB97, 2))),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12741, 12740])).
% 27.81/18.33 tff(12743,plain,
% 27.81/18.33 (~v122(constB97)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12742, 2119, 12613])).
% 27.81/18.33 tff(12744,plain,
% 27.81/18.33 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB97)) | (~v90(constB97, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB97)) | (~v90(constB97, 2)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12745,plain,
% 27.81/18.33 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB97)) | (~v90(constB97, 2)))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12746,plain,
% 27.81/18.33 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB97)) | (~v90(constB97, 2))),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12745, 12744])).
% 27.81/18.33 tff(12747,plain,
% 27.81/18.33 (~v121(constB97)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12746, 2130, 12613])).
% 27.81/18.33 tff(12748,plain,
% 27.81/18.33 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB97)) | (~v90(constB97, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB97)) | (~v90(constB97, 1)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12749,plain,
% 27.81/18.33 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB97)) | (~v90(constB97, 1)))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12750,plain,
% 27.81/18.33 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB97)) | (~v90(constB97, 1))),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12749, 12748])).
% 27.81/18.33 tff(12751,plain,
% 27.81/18.33 (~v119(constB97)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12750, 2086, 12644])).
% 27.81/18.33 tff(12752,plain,
% 27.81/18.33 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB97)) | (~v90(constB97, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB97)) | (~v90(constB97, 1)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12753,plain,
% 27.81/18.33 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB97)) | (~v90(constB97, 1)))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12754,plain,
% 27.81/18.33 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB97)) | (~v90(constB97, 1))),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12753, 12752])).
% 27.81/18.33 tff(12755,plain,
% 27.81/18.33 (~v120(constB97)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12754, 2141, 12644])).
% 27.81/18.33 tff(12756,plain,
% 27.81/18.33 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB97)) | (~v90(constB97, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB97)) | (~v90(constB97, 1)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12757,plain,
% 27.81/18.33 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB97)) | (~v90(constB97, 1)))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12758,plain,
% 27.81/18.33 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB97)) | (~v90(constB97, 1))),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12757, 12756])).
% 27.81/18.33 tff(12759,plain,
% 27.81/18.33 (~v123(constB97)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12758, 2108, 12644])).
% 27.81/18.33 tff(12760,plain,
% 27.81/18.33 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB97)) | (~v90(constB97, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB97)) | (~v90(constB97, 1)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12761,plain,
% 27.81/18.33 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB97)) | (~v90(constB97, 1)))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12762,plain,
% 27.81/18.33 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB97)) | (~v90(constB97, 1))),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12761, 12760])).
% 27.81/18.33 tff(12763,plain,
% 27.81/18.33 (~v124(constB97)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12762, 2097, 12644])).
% 27.81/18.33 tff(12764,plain,
% 27.81/18.33 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 2)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12765,plain,
% 27.81/18.33 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 2)))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12766,plain,
% 27.81/18.33 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 2))),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12765, 12764])).
% 27.81/18.33 tff(12767,plain,
% 27.81/18.33 (~v130(constB97, 2)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12766, 2155, 12763, 12759, 12755, 12751, 12747, 12743])).
% 27.81/18.33 tff(12768,plain,
% 27.81/18.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB97, 2)) | v26(constB97) | v130(constB97, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB97, 2)) | v26(constB97) | v130(constB97, 2))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12769,plain,
% 27.81/18.33 ((v26(constB97) | v130(constB97, 2) | (~v127(constB97, 2))) <=> ((~v127(constB97, 2)) | v26(constB97) | v130(constB97, 2))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12770,plain,
% 27.81/18.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB97) | v130(constB97, 2) | (~v127(constB97, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB97, 2)) | v26(constB97) | v130(constB97, 2)))),
% 27.81/18.33 inference(monotonicity,[status(thm)],[12769])).
% 27.81/18.33 tff(12771,plain,
% 27.81/18.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB97) | v130(constB97, 2) | (~v127(constB97, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB97, 2)) | v26(constB97) | v130(constB97, 2))),
% 27.81/18.33 inference(transitivity,[status(thm)],[12770, 12768])).
% 27.81/18.33 tff(12772,plain,
% 27.81/18.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB97) | v130(constB97, 2) | (~v127(constB97, 2)))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12773,plain,
% 27.81/18.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB97, 2)) | v26(constB97) | v130(constB97, 2)),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12772, 12771])).
% 27.81/18.33 tff(12774,plain,
% 27.81/18.33 ((~v127(constB97, 2)) | v130(constB97, 2)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12773, 455, 12690])).
% 27.81/18.33 tff(12775,plain,
% 27.81/18.33 (~v127(constB97, 2)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12774, 12767])).
% 27.81/18.33 tff(12776,plain,
% 27.81/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB97, constB98)) | v127(constB97, 2) | (~v129(constB98, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB97, constB98)) | v127(constB97, 2) | (~v129(constB98, 2)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12777,plain,
% 27.81/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB97, constB98)) | v127(constB97, 2) | (~v129(constB98, 2)))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12778,plain,
% 27.81/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB97, constB98)) | v127(constB97, 2) | (~v129(constB98, 2))),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12777, 12776])).
% 27.81/18.33 tff(12779,plain,
% 27.81/18.33 (v127(constB97, 2) | (~v129(constB98, 2))),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12778, 473, 12705])).
% 27.81/18.33 tff(12780,plain,
% 27.81/18.33 (~v129(constB98, 2)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12779, 12775])).
% 27.81/18.33 tff(12781,plain,
% 27.81/18.33 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB98, 2)) | v129(constB98, 2) | (~v100(constB98)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB98, 2)) | v129(constB98, 2) | (~v100(constB98)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12782,plain,
% 27.81/18.33 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB98, 2)) | v129(constB98, 2) | (~v100(constB98)))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12783,plain,
% 27.81/18.33 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB98, 2)) | v129(constB98, 2) | (~v100(constB98))),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12782, 12781])).
% 27.81/18.33 tff(12784,plain,
% 27.81/18.33 ((~v90(constB98, 2)) | (~v100(constB98))),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12783, 488, 12780])).
% 27.81/18.33 tff(12785,plain,
% 27.81/18.33 (~v90(constB98, 2)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12784, 12739])).
% 27.81/18.33 tff(12786,plain,
% 27.81/18.33 ((~v1(constB99)) <=> (~v1(constB99))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12787,axiom,(~v1(constB99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_99_1_1')).
% 27.81/18.33 tff(12788,plain,
% 27.81/18.33 (~v1(constB99)),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12787, 12786])).
% 27.81/18.33 tff(12789,plain,
% 27.81/18.33 (nextState(constB98, constB99) <=> nextState(constB98, constB99)),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12790,axiom,(nextState(constB98, constB99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_98_1')).
% 27.81/18.33 tff(12791,plain,
% 27.81/18.33 (nextState(constB98, constB99)),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12790, 12789])).
% 27.81/18.33 tff(12792,plain,
% 27.81/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12793,plain,
% 27.81/18.33 (((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99)) <=> (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12794,plain,
% 27.81/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99))))),
% 27.81/18.33 inference(monotonicity,[status(thm)],[12793])).
% 27.81/18.33 tff(12795,plain,
% 27.81/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 27.81/18.33 inference(transitivity,[status(thm)],[12794, 12792])).
% 27.81/18.33 tff(12796,plain,
% 27.81/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12797,plain,
% 27.81/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99))),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12796, 12795])).
% 27.81/18.33 tff(12798,plain,
% 27.81/18.33 (~v101(constB99)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12797, 138, 12791, 12788])).
% 27.81/18.33 tff(12799,plain,
% 27.81/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12800,plain,
% 27.81/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12801,plain,
% 27.81/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99))),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12800, 12799])).
% 27.81/18.33 tff(12802,plain,
% 27.81/18.33 (v101(constB99) | (~v100(constB99))),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12801, 155, 12791])).
% 27.81/18.33 tff(12803,plain,
% 27.81/18.33 (~v100(constB99)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12802, 12798])).
% 27.81/18.33 tff(12804,plain,
% 27.81/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB98, 2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB98, 2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 2)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12805,plain,
% 27.81/18.33 (((~nextState(constB98, constB99)) | v90(constB98, 2) | v100(constB99) | (~v90(constB99, 2))) <=> (v90(constB98, 2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 2)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12806,plain,
% 27.81/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB98, constB99)) | v90(constB98, 2) | v100(constB99) | (~v90(constB99, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB98, 2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 2))))),
% 27.81/18.33 inference(monotonicity,[status(thm)],[12805])).
% 27.81/18.33 tff(12807,plain,
% 27.81/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB98, constB99)) | v90(constB98, 2) | v100(constB99) | (~v90(constB99, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB98, 2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 2)))),
% 27.81/18.33 inference(transitivity,[status(thm)],[12806, 12804])).
% 27.81/18.33 tff(12808,plain,
% 27.81/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB98, constB99)) | v90(constB98, 2) | v100(constB99) | (~v90(constB99, 2)))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12809,plain,
% 27.81/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB98, 2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 2))),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12808, 12807])).
% 27.81/18.33 tff(12810,plain,
% 27.81/18.33 (v90(constB98, 2) | v100(constB99) | (~v90(constB99, 2))),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12809, 170, 12791])).
% 27.81/18.33 tff(12811,plain,
% 27.81/18.33 (v90(constB98, 2) | (~v90(constB99, 2))),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12810, 12803])).
% 27.81/18.33 tff(12812,plain,
% 27.81/18.33 (~v90(constB99, 2)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12811, 12785])).
% 27.81/18.33 tff(12813,plain,
% 27.81/18.33 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 1)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12814,plain,
% 27.81/18.33 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 1)))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12815,plain,
% 27.81/18.33 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 1))),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12814, 12813])).
% 27.81/18.33 tff(12816,plain,
% 27.81/18.33 (~v130(constB97, 1)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12815, 2214, 12763, 12759, 12755, 12751, 12747, 12743])).
% 27.81/18.33 tff(12817,plain,
% 27.81/18.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB97, 1)) | v26(constB97) | v130(constB97, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB97, 1)) | v26(constB97) | v130(constB97, 1))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12818,plain,
% 27.81/18.33 ((v26(constB97) | v130(constB97, 1) | (~v127(constB97, 1))) <=> ((~v127(constB97, 1)) | v26(constB97) | v130(constB97, 1))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12819,plain,
% 27.81/18.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB97) | v130(constB97, 1) | (~v127(constB97, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB97, 1)) | v26(constB97) | v130(constB97, 1)))),
% 27.81/18.33 inference(monotonicity,[status(thm)],[12818])).
% 27.81/18.33 tff(12820,plain,
% 27.81/18.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB97) | v130(constB97, 1) | (~v127(constB97, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB97, 1)) | v26(constB97) | v130(constB97, 1))),
% 27.81/18.33 inference(transitivity,[status(thm)],[12819, 12817])).
% 27.81/18.33 tff(12821,plain,
% 27.81/18.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB97) | v130(constB97, 1) | (~v127(constB97, 1)))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12822,plain,
% 27.81/18.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB97, 1)) | v26(constB97) | v130(constB97, 1)),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12821, 12820])).
% 27.81/18.33 tff(12823,plain,
% 27.81/18.33 ((~v127(constB97, 1)) | v130(constB97, 1)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12822, 541, 12690])).
% 27.81/18.33 tff(12824,plain,
% 27.81/18.33 (~v127(constB97, 1)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12823, 12816])).
% 27.81/18.33 tff(12825,plain,
% 27.81/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB97, constB98)) | v127(constB97, 1) | (~v129(constB98, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB97, constB98)) | v127(constB97, 1) | (~v129(constB98, 1)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12826,plain,
% 27.81/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB97, constB98)) | v127(constB97, 1) | (~v129(constB98, 1)))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12827,plain,
% 27.81/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB97, constB98)) | v127(constB97, 1) | (~v129(constB98, 1))),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12826, 12825])).
% 27.81/18.33 tff(12828,plain,
% 27.81/18.33 (v127(constB97, 1) | (~v129(constB98, 1))),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12827, 559, 12705])).
% 27.81/18.33 tff(12829,plain,
% 27.81/18.33 (~v129(constB98, 1)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12828, 12824])).
% 27.81/18.33 tff(12830,plain,
% 27.81/18.33 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB98, 1)) | v129(constB98, 1) | (~v100(constB98)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB98, 1)) | v129(constB98, 1) | (~v100(constB98)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12831,plain,
% 27.81/18.33 (((~v90(constB98, 1)) | (~v100(constB98)) | v129(constB98, 1)) <=> ((~v90(constB98, 1)) | v129(constB98, 1) | (~v100(constB98)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12832,plain,
% 27.81/18.33 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB98, 1)) | (~v100(constB98)) | v129(constB98, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB98, 1)) | v129(constB98, 1) | (~v100(constB98))))),
% 27.81/18.33 inference(monotonicity,[status(thm)],[12831])).
% 27.81/18.33 tff(12833,plain,
% 27.81/18.33 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB98, 1)) | (~v100(constB98)) | v129(constB98, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB98, 1)) | v129(constB98, 1) | (~v100(constB98)))),
% 27.81/18.33 inference(transitivity,[status(thm)],[12832, 12830])).
% 27.81/18.33 tff(12834,plain,
% 27.81/18.33 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB98, 1)) | (~v100(constB98)) | v129(constB98, 1))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12835,plain,
% 27.81/18.33 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB98, 1)) | v129(constB98, 1) | (~v100(constB98))),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12834, 12833])).
% 27.81/18.33 tff(12836,plain,
% 27.81/18.33 ((~v90(constB98, 1)) | (~v100(constB98))),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12835, 574, 12829])).
% 27.81/18.33 tff(12837,plain,
% 27.81/18.33 (~v90(constB98, 1)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12836, 12739])).
% 27.81/18.33 tff(12838,plain,
% 27.81/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB98, 1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB98, 1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 1)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12839,plain,
% 27.81/18.33 (((~nextState(constB98, constB99)) | v90(constB98, 1) | v100(constB99) | (~v90(constB99, 1))) <=> (v90(constB98, 1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 1)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12840,plain,
% 27.81/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB98, constB99)) | v90(constB98, 1) | v100(constB99) | (~v90(constB99, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB98, 1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 1))))),
% 27.81/18.33 inference(monotonicity,[status(thm)],[12839])).
% 27.81/18.33 tff(12841,plain,
% 27.81/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB98, constB99)) | v90(constB98, 1) | v100(constB99) | (~v90(constB99, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB98, 1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 1)))),
% 27.81/18.33 inference(transitivity,[status(thm)],[12840, 12838])).
% 27.81/18.33 tff(12842,plain,
% 27.81/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB98, constB99)) | v90(constB98, 1) | v100(constB99) | (~v90(constB99, 1)))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12843,plain,
% 27.81/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB98, 1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 1))),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12842, 12841])).
% 27.81/18.33 tff(12844,plain,
% 27.81/18.33 (v90(constB98, 1) | v100(constB99) | (~v90(constB99, 1))),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12843, 191, 12791])).
% 27.81/18.33 tff(12845,plain,
% 27.81/18.33 (v90(constB98, 1) | (~v90(constB99, 1))),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12844, 12803])).
% 27.81/18.33 tff(12846,plain,
% 27.81/18.33 (~v90(constB99, 1)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12845, 12837])).
% 27.81/18.33 tff(12847,plain,
% 27.81/18.33 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, 0))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12848,plain,
% 27.81/18.33 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, 0))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12849,plain,
% 27.81/18.33 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, 0)),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12848, 12847])).
% 27.81/18.33 tff(12850,plain,
% 27.81/18.33 (v130(constB97, 0)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12849, 2258, 12763, 12759, 12755, 12751, 12747, 12743])).
% 27.81/18.33 tff(12851,plain,
% 27.81/18.33 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB97) | (~v130(constB97, 0)) | v127(constB97, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB97) | (~v130(constB97, 0)) | v127(constB97, 0))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12852,plain,
% 27.81/18.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB97) | (~v130(constB97, 0)) | v127(constB97, 0))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12853,plain,
% 27.81/18.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB97) | (~v130(constB97, 0)) | v127(constB97, 0)),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12852, 12851])).
% 27.81/18.33 tff(12854,plain,
% 27.81/18.33 ((~v130(constB97, 0)) | v127(constB97, 0)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12853, 612, 12690])).
% 27.81/18.33 tff(12855,plain,
% 27.81/18.33 (v127(constB97, 0)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12854, 12850])).
% 27.81/18.33 tff(12856,plain,
% 27.81/18.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB97, constB98)) | (~v127(constB97, 0)) | v129(constB98, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB97, constB98)) | (~v127(constB97, 0)) | v129(constB98, 0))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12857,plain,
% 27.81/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB97, constB98)) | (~v127(constB97, 0)) | v129(constB98, 0))),
% 27.81/18.33 inference(quant_inst,[status(thm)],[])).
% 27.81/18.33 tff(12858,plain,
% 27.81/18.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB97, constB98)) | (~v127(constB97, 0)) | v129(constB98, 0)),
% 27.81/18.33 inference(modus_ponens,[status(thm)],[12857, 12856])).
% 27.81/18.33 tff(12859,plain,
% 27.81/18.33 ((~v127(constB97, 0)) | v129(constB98, 0)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12858, 627, 12705])).
% 27.81/18.33 tff(12860,plain,
% 27.81/18.33 (v129(constB98, 0)),
% 27.81/18.33 inference(unit_resolution,[status(thm)],[12859, 12855])).
% 27.81/18.33 tff(12861,plain,
% 27.81/18.33 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB98, 0) | (~v129(constB98, 0)) | (~v100(constB98)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB98, 0) | (~v129(constB98, 0)) | (~v100(constB98)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12862,plain,
% 27.81/18.33 ((v90(constB98, 0) | (~v100(constB98)) | (~v129(constB98, 0))) <=> (v90(constB98, 0) | (~v129(constB98, 0)) | (~v100(constB98)))),
% 27.81/18.33 inference(rewrite,[status(thm)],[])).
% 27.81/18.33 tff(12863,plain,
% 27.81/18.33 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB98, 0) | (~v100(constB98)) | (~v129(constB98, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB98, 0) | (~v129(constB98, 0)) | (~v100(constB98))))),
% 27.81/18.34 inference(monotonicity,[status(thm)],[12862])).
% 27.81/18.34 tff(12864,plain,
% 27.81/18.34 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB98, 0) | (~v100(constB98)) | (~v129(constB98, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB98, 0) | (~v129(constB98, 0)) | (~v100(constB98)))),
% 27.81/18.34 inference(transitivity,[status(thm)],[12863, 12861])).
% 27.81/18.34 tff(12865,plain,
% 27.81/18.34 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB98, 0) | (~v100(constB98)) | (~v129(constB98, 0)))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(12866,plain,
% 27.81/18.34 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB98, 0) | (~v129(constB98, 0)) | (~v100(constB98))),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[12865, 12864])).
% 27.81/18.34 tff(12867,plain,
% 27.81/18.34 (v90(constB98, 0) | (~v100(constB98))),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12866, 642, 12860])).
% 27.81/18.34 tff(12868,plain,
% 27.81/18.34 (v90(constB98, 0)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12867, 12739])).
% 27.81/18.34 tff(12869,plain,
% 27.81/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB98, 0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB98, 0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, 0))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12870,plain,
% 27.81/18.34 (((~nextState(constB98, constB99)) | (~v90(constB98, 0)) | v100(constB99) | v90(constB99, 0)) <=> ((~v90(constB98, 0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, 0))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12871,plain,
% 27.81/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB98, constB99)) | (~v90(constB98, 0)) | v100(constB99) | v90(constB99, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB98, 0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, 0)))),
% 27.81/18.34 inference(monotonicity,[status(thm)],[12870])).
% 27.81/18.34 tff(12872,plain,
% 27.81/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB98, constB99)) | (~v90(constB98, 0)) | v100(constB99) | v90(constB99, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB98, 0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, 0))),
% 27.81/18.34 inference(transitivity,[status(thm)],[12871, 12869])).
% 27.81/18.34 tff(12873,plain,
% 27.81/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB98, constB99)) | (~v90(constB98, 0)) | v100(constB99) | v90(constB99, 0))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(12874,plain,
% 27.81/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB98, 0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, 0)),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[12873, 12872])).
% 27.81/18.34 tff(12875,plain,
% 27.81/18.34 ((~v90(constB98, 0)) | v100(constB99) | v90(constB99, 0)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12874, 660, 12791])).
% 27.81/18.34 tff(12876,plain,
% 27.81/18.34 ((~v90(constB98, 0)) | v90(constB99, 0)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12875, 12803])).
% 27.81/18.34 tff(12877,plain,
% 27.81/18.34 (v90(constB99, 0)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12876, 12868])).
% 27.81/18.34 tff(12878,plain,
% 27.81/18.34 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB99, 0)) | v90(constB99, 1) | v90(constB99, 2) | v120(constB99))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB99, 0)) | v90(constB99, 1) | v90(constB99, 2) | v120(constB99))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12879,plain,
% 27.81/18.34 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB99, 0)) | v90(constB99, 1) | v90(constB99, 2) | v120(constB99))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(12880,plain,
% 27.81/18.34 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB99, 0)) | v90(constB99, 1) | v90(constB99, 2) | v120(constB99)),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[12879, 12878])).
% 27.81/18.34 tff(12881,plain,
% 27.81/18.34 (v120(constB99)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12880, 679, 12877, 12846, 12812])).
% 27.81/18.34 tff(12882,plain,
% 27.81/18.34 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB99) | (~v120(constB99)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB99) | (~v120(constB99)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12883,plain,
% 27.81/18.34 (((~v120(constB99)) | v118(constB99)) <=> (v118(constB99) | (~v120(constB99)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12884,plain,
% 27.81/18.34 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB99)) | v118(constB99))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB99) | (~v120(constB99))))),
% 27.81/18.34 inference(monotonicity,[status(thm)],[12883])).
% 27.81/18.34 tff(12885,plain,
% 27.81/18.34 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB99)) | v118(constB99))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB99) | (~v120(constB99)))),
% 27.81/18.34 inference(transitivity,[status(thm)],[12884, 12882])).
% 27.81/18.34 tff(12886,plain,
% 27.81/18.34 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB99)) | v118(constB99))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(12887,plain,
% 27.81/18.34 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB99) | (~v120(constB99))),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[12886, 12885])).
% 27.81/18.34 tff(12888,plain,
% 27.81/18.34 (v118(constB99)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12887, 690, 12881])).
% 27.81/18.34 tff(12889,plain,
% 27.81/18.34 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB99) | (~v118(constB99)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB99) | (~v118(constB99)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12890,plain,
% 27.81/18.34 (((~v118(constB99)) | v117(constB99)) <=> (v117(constB99) | (~v118(constB99)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12891,plain,
% 27.81/18.34 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB99)) | v117(constB99))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB99) | (~v118(constB99))))),
% 27.81/18.34 inference(monotonicity,[status(thm)],[12890])).
% 27.81/18.34 tff(12892,plain,
% 27.81/18.34 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB99)) | v117(constB99))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB99) | (~v118(constB99)))),
% 27.81/18.34 inference(transitivity,[status(thm)],[12891, 12889])).
% 27.81/18.34 tff(12893,plain,
% 27.81/18.34 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB99)) | v117(constB99))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(12894,plain,
% 27.81/18.34 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB99) | (~v118(constB99))),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[12893, 12892])).
% 27.81/18.34 tff(12895,plain,
% 27.81/18.34 (v117(constB99)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12894, 258, 12888])).
% 27.81/18.34 tff(12896,plain,
% 27.81/18.34 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB99) | (~v117(constB99)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB99) | (~v117(constB99)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12897,plain,
% 27.81/18.34 (((~v117(constB99)) | v116(constB99)) <=> (v116(constB99) | (~v117(constB99)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12898,plain,
% 27.81/18.34 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB99)) | v116(constB99))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB99) | (~v117(constB99))))),
% 27.81/18.34 inference(monotonicity,[status(thm)],[12897])).
% 27.81/18.34 tff(12899,plain,
% 27.81/18.34 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB99)) | v116(constB99))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB99) | (~v117(constB99)))),
% 27.81/18.34 inference(transitivity,[status(thm)],[12898, 12896])).
% 27.81/18.34 tff(12900,plain,
% 27.81/18.34 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB99)) | v116(constB99))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(12901,plain,
% 27.81/18.34 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB99) | (~v117(constB99))),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[12900, 12899])).
% 27.81/18.34 tff(12902,plain,
% 27.81/18.34 (v116(constB99)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12901, 272, 12895])).
% 27.81/18.34 tff(12903,plain,
% 27.81/18.34 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB99)) | v115(constB99))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB99)) | v115(constB99))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12904,plain,
% 27.81/18.34 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB99)) | v115(constB99))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(12905,plain,
% 27.81/18.34 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB99)) | v115(constB99)),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[12904, 12903])).
% 27.81/18.34 tff(12906,plain,
% 27.81/18.34 (v115(constB99)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12905, 286, 12902])).
% 27.81/18.34 tff(12907,plain,
% 27.81/18.34 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB99) | (~v115(constB99)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB99) | (~v115(constB99)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12908,plain,
% 27.81/18.34 (((~v115(constB99)) | v114(constB99)) <=> (v114(constB99) | (~v115(constB99)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12909,plain,
% 27.81/18.34 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB99)) | v114(constB99))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB99) | (~v115(constB99))))),
% 27.81/18.34 inference(monotonicity,[status(thm)],[12908])).
% 27.81/18.34 tff(12910,plain,
% 27.81/18.34 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB99)) | v114(constB99))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB99) | (~v115(constB99)))),
% 27.81/18.34 inference(transitivity,[status(thm)],[12909, 12907])).
% 27.81/18.34 tff(12911,plain,
% 27.81/18.34 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB99)) | v114(constB99))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(12912,plain,
% 27.81/18.34 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB99) | (~v115(constB99))),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[12911, 12910])).
% 27.81/18.34 tff(12913,plain,
% 27.81/18.34 (v114(constB99)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12912, 300, 12906])).
% 27.81/18.34 tff(12914,plain,
% 27.81/18.34 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB99) | (~v114(constB99)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB99) | (~v114(constB99)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12915,plain,
% 27.81/18.34 (((~v114(constB99)) | v113(constB99)) <=> (v113(constB99) | (~v114(constB99)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12916,plain,
% 27.81/18.34 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB99)) | v113(constB99))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB99) | (~v114(constB99))))),
% 27.81/18.34 inference(monotonicity,[status(thm)],[12915])).
% 27.81/18.34 tff(12917,plain,
% 27.81/18.34 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB99)) | v113(constB99))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB99) | (~v114(constB99)))),
% 27.81/18.34 inference(transitivity,[status(thm)],[12916, 12914])).
% 27.81/18.34 tff(12918,plain,
% 27.81/18.34 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB99)) | v113(constB99))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(12919,plain,
% 27.81/18.34 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB99) | (~v114(constB99))),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[12918, 12917])).
% 27.81/18.34 tff(12920,plain,
% 27.81/18.34 (v113(constB99)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12919, 314, 12913])).
% 27.81/18.34 tff(12921,assumption,(v26(constB99)), introduced(assumption)).
% 27.81/18.34 tff(12922,plain,
% 27.81/18.34 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB99))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(12923,plain,
% 27.81/18.34 ($false),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12922, 95, 12921])).
% 27.81/18.34 tff(12924,plain,(~v26(constB99)), inference(lemma,lemma(discharge,[]))).
% 27.81/18.34 tff(12925,plain,
% 27.81/18.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | (~v113(constB99)) | v112(constB99))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12926,plain,
% 27.81/18.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(12927,plain,
% 27.81/18.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | (~v113(constB99)) | v112(constB99)),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[12926, 12925])).
% 27.81/18.34 tff(12928,plain,
% 27.81/18.34 ((~v113(constB99)) | v112(constB99)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12927, 328, 12924])).
% 27.81/18.34 tff(12929,plain,
% 27.81/18.34 (v112(constB99)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12928, 12920])).
% 27.81/18.34 tff(12930,plain,
% 27.81/18.34 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB99) | (~v112(constB99)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v112(constB99)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12931,plain,
% 27.81/18.34 (((~v112(constB99)) | v108(constB99)) <=> (v108(constB99) | (~v112(constB99)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12932,plain,
% 27.81/18.34 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB99)) | v108(constB99))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB99) | (~v112(constB99))))),
% 27.81/18.34 inference(monotonicity,[status(thm)],[12931])).
% 27.81/18.34 tff(12933,plain,
% 27.81/18.34 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB99)) | v108(constB99))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v112(constB99)))),
% 27.81/18.34 inference(transitivity,[status(thm)],[12932, 12930])).
% 27.81/18.34 tff(12934,plain,
% 27.81/18.34 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB99)) | v108(constB99))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(12935,plain,
% 27.81/18.34 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v112(constB99))),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[12934, 12933])).
% 27.81/18.34 tff(12936,plain,
% 27.81/18.34 (v108(constB99)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12935, 340, 12929])).
% 27.81/18.34 tff(12937,plain,
% 27.81/18.34 (nextState(constB99, constB100) <=> nextState(constB99, constB100)),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12938,axiom,(nextState(constB99, constB100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_99_1')).
% 27.81/18.34 tff(12939,plain,
% 27.81/18.34 (nextState(constB99, constB100)),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[12938, 12937])).
% 27.81/18.34 tff(12940,plain,
% 27.81/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12941,plain,
% 27.81/18.34 (((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100)) <=> ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12942,plain,
% 27.81/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99))))),
% 27.81/18.34 inference(monotonicity,[status(thm)],[12941])).
% 27.81/18.34 tff(12943,plain,
% 27.81/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 27.81/18.34 inference(transitivity,[status(thm)],[12942, 12940])).
% 27.81/18.34 tff(12944,plain,
% 27.81/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(12945,plain,
% 27.81/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99))),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[12944, 12943])).
% 27.81/18.34 tff(12946,plain,
% 27.81/18.34 (v110(constB100) | (~v108(constB99))),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12945, 360, 12939])).
% 27.81/18.34 tff(12947,plain,
% 27.81/18.34 (v110(constB100)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12946, 12936])).
% 27.81/18.34 tff(12948,plain,
% 27.81/18.34 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12949,plain,
% 27.81/18.34 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(12950,plain,
% 27.81/18.34 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100))),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[12949, 12948])).
% 27.81/18.34 tff(12951,plain,
% 27.81/18.34 (~v104(constB100)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12950, 378, 12939, 12788])).
% 27.81/18.34 tff(12952,plain,
% 27.81/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12953,plain,
% 27.81/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(12954,plain,
% 27.81/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB99, constB100)) | v102(constB100) | v104(constB100)),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[12953, 12952])).
% 27.81/18.34 tff(12955,plain,
% 27.81/18.34 (v102(constB100) | v104(constB100)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12954, 392, 12939])).
% 27.81/18.34 tff(12956,plain,
% 27.81/18.34 (v102(constB100)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12955, 12951])).
% 27.81/18.34 tff(12957,plain,
% 27.81/18.34 (v1(constB100) <=> v1(constB100)),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12958,axiom,(v1(constB100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_100_1')).
% 27.81/18.34 tff(12959,plain,
% 27.81/18.34 (v1(constB100)),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[12958, 12957])).
% 27.81/18.34 tff(12960,plain,
% 27.81/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12961,plain,
% 27.81/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(12962,plain,
% 27.81/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100))),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[12961, 12960])).
% 27.81/18.34 tff(12963,plain,
% 27.81/18.34 (v101(constB100) | (~v102(constB100))),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12962, 410, 12939, 12959])).
% 27.81/18.34 tff(12964,plain,
% 27.81/18.34 (v101(constB100)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12963, 12956])).
% 27.81/18.34 tff(12965,plain,
% 27.81/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12966,plain,
% 27.81/18.34 (((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100)) <=> ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12967,plain,
% 27.81/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100))))),
% 27.81/18.34 inference(monotonicity,[status(thm)],[12966])).
% 27.81/18.34 tff(12968,plain,
% 27.81/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 27.81/18.34 inference(transitivity,[status(thm)],[12967, 12965])).
% 27.81/18.34 tff(12969,plain,
% 27.81/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(12970,plain,
% 27.81/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100))),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[12969, 12968])).
% 27.81/18.34 tff(12971,plain,
% 27.81/18.34 (v100(constB100) | (~v101(constB100)) | (~v110(constB100))),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12970, 425, 12939])).
% 27.81/18.34 tff(12972,plain,
% 27.81/18.34 (v100(constB100) | (~v110(constB100))),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12971, 12964])).
% 27.81/18.34 tff(12973,plain,
% 27.81/18.34 (v100(constB100)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12972, 12947])).
% 27.81/18.34 tff(12974,plain,
% 27.81/18.34 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB99)) | (~v130(constB99, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB99)) | (~v130(constB99, 2)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12975,plain,
% 27.81/18.34 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB99)) | (~v130(constB99, 2)))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(12976,plain,
% 27.81/18.34 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB99)) | (~v130(constB99, 2))),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[12975, 12974])).
% 27.81/18.34 tff(12977,plain,
% 27.81/18.34 (~v130(constB99, 2)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12976, 785, 12881])).
% 27.81/18.34 tff(12978,plain,
% 27.81/18.34 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB99, 2)) | v26(constB99) | v130(constB99, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB99, 2)) | v26(constB99) | v130(constB99, 2))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12979,plain,
% 27.81/18.34 ((v26(constB99) | v130(constB99, 2) | (~v127(constB99, 2))) <=> ((~v127(constB99, 2)) | v26(constB99) | v130(constB99, 2))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12980,plain,
% 27.81/18.34 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB99) | v130(constB99, 2) | (~v127(constB99, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB99, 2)) | v26(constB99) | v130(constB99, 2)))),
% 27.81/18.34 inference(monotonicity,[status(thm)],[12979])).
% 27.81/18.34 tff(12981,plain,
% 27.81/18.34 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB99) | v130(constB99, 2) | (~v127(constB99, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB99, 2)) | v26(constB99) | v130(constB99, 2))),
% 27.81/18.34 inference(transitivity,[status(thm)],[12980, 12978])).
% 27.81/18.34 tff(12982,plain,
% 27.81/18.34 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB99) | v130(constB99, 2) | (~v127(constB99, 2)))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(12983,plain,
% 27.81/18.34 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB99, 2)) | v26(constB99) | v130(constB99, 2)),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[12982, 12981])).
% 27.81/18.34 tff(12984,plain,
% 27.81/18.34 ((~v127(constB99, 2)) | v130(constB99, 2)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12983, 455, 12924])).
% 27.81/18.34 tff(12985,plain,
% 27.81/18.34 (~v127(constB99, 2)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12984, 12977])).
% 27.81/18.34 tff(12986,plain,
% 27.81/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB99, constB100)) | v127(constB99, 2) | (~v129(constB100, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB99, constB100)) | v127(constB99, 2) | (~v129(constB100, 2)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12987,plain,
% 27.81/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB99, constB100)) | v127(constB99, 2) | (~v129(constB100, 2)))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(12988,plain,
% 27.81/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB99, constB100)) | v127(constB99, 2) | (~v129(constB100, 2))),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[12987, 12986])).
% 27.81/18.34 tff(12989,plain,
% 27.81/18.34 (v127(constB99, 2) | (~v129(constB100, 2))),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12988, 473, 12939])).
% 27.81/18.34 tff(12990,plain,
% 27.81/18.34 (~v129(constB100, 2)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12989, 12985])).
% 27.81/18.34 tff(12991,plain,
% 27.81/18.34 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB100, 2)) | v129(constB100, 2) | (~v100(constB100)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB100, 2)) | v129(constB100, 2) | (~v100(constB100)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12992,plain,
% 27.81/18.34 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB100, 2)) | v129(constB100, 2) | (~v100(constB100)))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(12993,plain,
% 27.81/18.34 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB100, 2)) | v129(constB100, 2) | (~v100(constB100))),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[12992, 12991])).
% 27.81/18.34 tff(12994,plain,
% 27.81/18.34 ((~v90(constB100, 2)) | (~v100(constB100))),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12993, 488, 12990])).
% 27.81/18.34 tff(12995,plain,
% 27.81/18.34 (~v90(constB100, 2)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[12994, 12973])).
% 27.81/18.34 tff(12996,plain,
% 27.81/18.34 ((~v1(constB101)) <=> (~v1(constB101))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(12997,axiom,(~v1(constB101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_101_1_1')).
% 27.81/18.34 tff(12998,plain,
% 27.81/18.34 (~v1(constB101)),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[12997, 12996])).
% 27.81/18.34 tff(12999,plain,
% 27.81/18.34 (nextState(constB100, constB101) <=> nextState(constB100, constB101)),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(13000,axiom,(nextState(constB100, constB101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_100_1')).
% 27.81/18.34 tff(13001,plain,
% 27.81/18.34 (nextState(constB100, constB101)),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[13000, 12999])).
% 27.81/18.34 tff(13002,plain,
% 27.81/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(13003,plain,
% 27.81/18.34 (((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101)) <=> (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(13004,plain,
% 27.81/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101))))),
% 27.81/18.34 inference(monotonicity,[status(thm)],[13003])).
% 27.81/18.34 tff(13005,plain,
% 27.81/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 27.81/18.34 inference(transitivity,[status(thm)],[13004, 13002])).
% 27.81/18.34 tff(13006,plain,
% 27.81/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(13007,plain,
% 27.81/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101))),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[13006, 13005])).
% 27.81/18.34 tff(13008,plain,
% 27.81/18.34 (~v101(constB101)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[13007, 138, 13001, 12998])).
% 27.81/18.34 tff(13009,plain,
% 27.81/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(13010,plain,
% 27.81/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(13011,plain,
% 27.81/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101))),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[13010, 13009])).
% 27.81/18.34 tff(13012,plain,
% 27.81/18.34 (v101(constB101) | (~v100(constB101))),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[13011, 155, 13001])).
% 27.81/18.34 tff(13013,plain,
% 27.81/18.34 (~v100(constB101)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[13012, 13008])).
% 27.81/18.34 tff(13014,plain,
% 27.81/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB100, 2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB100, 2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 2)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(13015,plain,
% 27.81/18.34 (((~nextState(constB100, constB101)) | v90(constB100, 2) | v100(constB101) | (~v90(constB101, 2))) <=> (v90(constB100, 2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 2)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(13016,plain,
% 27.81/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB100, constB101)) | v90(constB100, 2) | v100(constB101) | (~v90(constB101, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB100, 2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 2))))),
% 27.81/18.34 inference(monotonicity,[status(thm)],[13015])).
% 27.81/18.34 tff(13017,plain,
% 27.81/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB100, constB101)) | v90(constB100, 2) | v100(constB101) | (~v90(constB101, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB100, 2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 2)))),
% 27.81/18.34 inference(transitivity,[status(thm)],[13016, 13014])).
% 27.81/18.34 tff(13018,plain,
% 27.81/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB100, constB101)) | v90(constB100, 2) | v100(constB101) | (~v90(constB101, 2)))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(13019,plain,
% 27.81/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB100, 2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 2))),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[13018, 13017])).
% 27.81/18.34 tff(13020,plain,
% 27.81/18.34 (v90(constB100, 2) | v100(constB101) | (~v90(constB101, 2))),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[13019, 170, 13001])).
% 27.81/18.34 tff(13021,plain,
% 27.81/18.34 (v90(constB100, 2) | (~v90(constB101, 2))),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[13020, 13013])).
% 27.81/18.34 tff(13022,plain,
% 27.81/18.34 (~v90(constB101, 2)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[13021, 12995])).
% 27.81/18.34 tff(13023,plain,
% 27.81/18.34 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB99)) | v130(constB99, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB99)) | v130(constB99, 1))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(13024,plain,
% 27.81/18.34 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB99)) | v130(constB99, 1))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(13025,plain,
% 27.81/18.34 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB99)) | v130(constB99, 1)),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[13024, 13023])).
% 27.81/18.34 tff(13026,plain,
% 27.81/18.34 (v130(constB99, 1)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[13025, 841, 12881])).
% 27.81/18.34 tff(13027,plain,
% 27.81/18.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB99) | (~v130(constB99, 1)) | v127(constB99, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB99) | (~v130(constB99, 1)) | v127(constB99, 1))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(13028,plain,
% 27.81/18.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB99) | (~v130(constB99, 1)) | v127(constB99, 1))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(13029,plain,
% 27.81/18.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB99) | (~v130(constB99, 1)) | v127(constB99, 1)),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[13028, 13027])).
% 27.81/18.34 tff(13030,plain,
% 27.81/18.34 ((~v130(constB99, 1)) | v127(constB99, 1)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[13029, 855, 12924])).
% 27.81/18.34 tff(13031,plain,
% 27.81/18.34 (v127(constB99, 1)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[13030, 13026])).
% 27.81/18.34 tff(13032,plain,
% 27.81/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB99, constB100)) | (~v127(constB99, 1)) | v129(constB100, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB99, constB100)) | (~v127(constB99, 1)) | v129(constB100, 1))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(13033,plain,
% 27.81/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB99, constB100)) | (~v127(constB99, 1)) | v129(constB100, 1))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(13034,plain,
% 27.81/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB99, constB100)) | (~v127(constB99, 1)) | v129(constB100, 1)),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[13033, 13032])).
% 27.81/18.34 tff(13035,plain,
% 27.81/18.34 ((~v127(constB99, 1)) | v129(constB100, 1)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[13034, 870, 12939])).
% 27.81/18.34 tff(13036,plain,
% 27.81/18.34 (v129(constB100, 1)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[13035, 13031])).
% 27.81/18.34 tff(13037,plain,
% 27.81/18.34 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB100, 1) | (~v129(constB100, 1)) | (~v100(constB100)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB100, 1) | (~v129(constB100, 1)) | (~v100(constB100)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(13038,plain,
% 27.81/18.34 ((v90(constB100, 1) | (~v100(constB100)) | (~v129(constB100, 1))) <=> (v90(constB100, 1) | (~v129(constB100, 1)) | (~v100(constB100)))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(13039,plain,
% 27.81/18.34 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB100, 1) | (~v100(constB100)) | (~v129(constB100, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB100, 1) | (~v129(constB100, 1)) | (~v100(constB100))))),
% 27.81/18.34 inference(monotonicity,[status(thm)],[13038])).
% 27.81/18.34 tff(13040,plain,
% 27.81/18.34 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB100, 1) | (~v100(constB100)) | (~v129(constB100, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB100, 1) | (~v129(constB100, 1)) | (~v100(constB100)))),
% 27.81/18.34 inference(transitivity,[status(thm)],[13039, 13037])).
% 27.81/18.34 tff(13041,plain,
% 27.81/18.34 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB100, 1) | (~v100(constB100)) | (~v129(constB100, 1)))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(13042,plain,
% 27.81/18.34 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB100, 1) | (~v129(constB100, 1)) | (~v100(constB100))),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[13041, 13040])).
% 27.81/18.34 tff(13043,plain,
% 27.81/18.34 (v90(constB100, 1) | (~v100(constB100))),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[13042, 885, 13036])).
% 27.81/18.34 tff(13044,plain,
% 27.81/18.34 (v90(constB100, 1)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[13043, 12973])).
% 27.81/18.34 tff(13045,plain,
% 27.81/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB100, 1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB100, 1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, 1))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(13046,plain,
% 27.81/18.34 (((~nextState(constB100, constB101)) | (~v90(constB100, 1)) | v100(constB101) | v90(constB101, 1)) <=> ((~v90(constB100, 1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, 1))),
% 27.81/18.34 inference(rewrite,[status(thm)],[])).
% 27.81/18.34 tff(13047,plain,
% 27.81/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, 1)) | v100(constB101) | v90(constB101, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB100, 1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, 1)))),
% 27.81/18.34 inference(monotonicity,[status(thm)],[13046])).
% 27.81/18.34 tff(13048,plain,
% 27.81/18.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, 1)) | v100(constB101) | v90(constB101, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB100, 1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, 1))),
% 27.81/18.34 inference(transitivity,[status(thm)],[13047, 13045])).
% 27.81/18.34 tff(13049,plain,
% 27.81/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, 1)) | v100(constB101) | v90(constB101, 1))),
% 27.81/18.34 inference(quant_inst,[status(thm)],[])).
% 27.81/18.34 tff(13050,plain,
% 27.81/18.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB100, 1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, 1)),
% 27.81/18.34 inference(modus_ponens,[status(thm)],[13049, 13048])).
% 27.81/18.34 tff(13051,plain,
% 27.81/18.34 ((~v90(constB100, 1)) | v100(constB101) | v90(constB101, 1)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[13050, 903, 13001])).
% 27.81/18.34 tff(13052,plain,
% 27.81/18.34 ((~v90(constB100, 1)) | v90(constB101, 1)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[13051, 13013])).
% 27.81/18.34 tff(13053,plain,
% 27.81/18.34 (v90(constB101, 1)),
% 27.81/18.34 inference(unit_resolution,[status(thm)],[13052, 13044])).
% 27.81/18.35 tff(13054,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB99)) | (~v130(constB99, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB99)) | (~v130(constB99, 0)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13055,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB99)) | (~v130(constB99, 0)))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13056,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB99)) | (~v130(constB99, 0))),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13055, 13054])).
% 27.81/18.35 tff(13057,plain,
% 27.81/18.35 (~v130(constB99, 0)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13056, 919, 12881])).
% 27.81/18.35 tff(13058,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB99, 0)) | v26(constB99) | v130(constB99, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB99, 0)) | v26(constB99) | v130(constB99, 0))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13059,plain,
% 27.81/18.35 ((v26(constB99) | v130(constB99, 0) | (~v127(constB99, 0))) <=> ((~v127(constB99, 0)) | v26(constB99) | v130(constB99, 0))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13060,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB99) | v130(constB99, 0) | (~v127(constB99, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB99, 0)) | v26(constB99) | v130(constB99, 0)))),
% 27.81/18.35 inference(monotonicity,[status(thm)],[13059])).
% 27.81/18.35 tff(13061,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB99) | v130(constB99, 0) | (~v127(constB99, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB99, 0)) | v26(constB99) | v130(constB99, 0))),
% 27.81/18.35 inference(transitivity,[status(thm)],[13060, 13058])).
% 27.81/18.35 tff(13062,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB99) | v130(constB99, 0) | (~v127(constB99, 0)))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13063,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB99, 0)) | v26(constB99) | v130(constB99, 0)),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13062, 13061])).
% 27.81/18.35 tff(13064,plain,
% 27.81/18.35 ((~v127(constB99, 0)) | v130(constB99, 0)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13063, 933, 12924])).
% 27.81/18.35 tff(13065,plain,
% 27.81/18.35 (~v127(constB99, 0)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13064, 13057])).
% 27.81/18.35 tff(13066,plain,
% 27.81/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB99, constB100)) | v127(constB99, 0) | (~v129(constB100, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB99, constB100)) | v127(constB99, 0) | (~v129(constB100, 0)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13067,plain,
% 27.81/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB99, constB100)) | v127(constB99, 0) | (~v129(constB100, 0)))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13068,plain,
% 27.81/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB99, constB100)) | v127(constB99, 0) | (~v129(constB100, 0))),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13067, 13066])).
% 27.81/18.35 tff(13069,plain,
% 27.81/18.35 (v127(constB99, 0) | (~v129(constB100, 0))),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13068, 951, 12939])).
% 27.81/18.35 tff(13070,plain,
% 27.81/18.35 (~v129(constB100, 0)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13069, 13065])).
% 27.81/18.35 tff(13071,plain,
% 27.81/18.35 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB100, 0)) | v129(constB100, 0) | (~v100(constB100)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB100, 0)) | v129(constB100, 0) | (~v100(constB100)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13072,plain,
% 27.81/18.35 (((~v90(constB100, 0)) | (~v100(constB100)) | v129(constB100, 0)) <=> ((~v90(constB100, 0)) | v129(constB100, 0) | (~v100(constB100)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13073,plain,
% 27.81/18.35 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB100, 0)) | (~v100(constB100)) | v129(constB100, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB100, 0)) | v129(constB100, 0) | (~v100(constB100))))),
% 27.81/18.35 inference(monotonicity,[status(thm)],[13072])).
% 27.81/18.35 tff(13074,plain,
% 27.81/18.35 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB100, 0)) | (~v100(constB100)) | v129(constB100, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB100, 0)) | v129(constB100, 0) | (~v100(constB100)))),
% 27.81/18.35 inference(transitivity,[status(thm)],[13073, 13071])).
% 27.81/18.35 tff(13075,plain,
% 27.81/18.35 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB100, 0)) | (~v100(constB100)) | v129(constB100, 0))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13076,plain,
% 27.81/18.35 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB100, 0)) | v129(constB100, 0) | (~v100(constB100))),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13075, 13074])).
% 27.81/18.35 tff(13077,plain,
% 27.81/18.35 ((~v90(constB100, 0)) | (~v100(constB100))),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13076, 966, 13070])).
% 27.81/18.35 tff(13078,plain,
% 27.81/18.35 (~v90(constB100, 0)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13077, 12973])).
% 27.81/18.35 tff(13079,plain,
% 27.81/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB100, 0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB100, 0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 0)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13080,plain,
% 27.81/18.35 (((~nextState(constB100, constB101)) | v90(constB100, 0) | v100(constB101) | (~v90(constB101, 0))) <=> (v90(constB100, 0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 0)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13081,plain,
% 27.81/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB100, constB101)) | v90(constB100, 0) | v100(constB101) | (~v90(constB101, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB100, 0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 0))))),
% 27.81/18.35 inference(monotonicity,[status(thm)],[13080])).
% 27.81/18.35 tff(13082,plain,
% 27.81/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB100, constB101)) | v90(constB100, 0) | v100(constB101) | (~v90(constB101, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB100, 0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 0)))),
% 27.81/18.35 inference(transitivity,[status(thm)],[13081, 13079])).
% 27.81/18.35 tff(13083,plain,
% 27.81/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB100, constB101)) | v90(constB100, 0) | v100(constB101) | (~v90(constB101, 0)))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13084,plain,
% 27.81/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB100, 0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 0))),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13083, 13082])).
% 27.81/18.35 tff(13085,plain,
% 27.81/18.35 (v90(constB100, 0) | v100(constB101) | (~v90(constB101, 0))),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13084, 212, 13001])).
% 27.81/18.35 tff(13086,plain,
% 27.81/18.35 (v90(constB100, 0) | (~v90(constB101, 0))),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13085, 13013])).
% 27.81/18.35 tff(13087,plain,
% 27.81/18.35 (~v90(constB101, 0)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13086, 13078])).
% 27.81/18.35 tff(13088,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB101, 0) | (~v90(constB101, 1)) | v90(constB101, 2) | v121(constB101))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB101, 0) | (~v90(constB101, 1)) | v90(constB101, 2) | v121(constB101))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13089,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB101, 0) | (~v90(constB101, 1)) | v90(constB101, 2) | v121(constB101))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13090,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB101, 0) | (~v90(constB101, 1)) | v90(constB101, 2) | v121(constB101)),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13089, 13088])).
% 27.81/18.35 tff(13091,plain,
% 27.81/18.35 (v121(constB101)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13090, 993, 13087, 13053, 13022])).
% 27.81/18.35 tff(13092,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB101) | (~v121(constB101)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB101) | (~v121(constB101)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13093,plain,
% 27.81/18.35 (((~v121(constB101)) | v117(constB101)) <=> (v117(constB101) | (~v121(constB101)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13094,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB101)) | v117(constB101))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB101) | (~v121(constB101))))),
% 27.81/18.35 inference(monotonicity,[status(thm)],[13093])).
% 27.81/18.35 tff(13095,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB101)) | v117(constB101))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB101) | (~v121(constB101)))),
% 27.81/18.35 inference(transitivity,[status(thm)],[13094, 13092])).
% 27.81/18.35 tff(13096,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB101)) | v117(constB101))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13097,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB101) | (~v121(constB101))),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13096, 13095])).
% 27.81/18.35 tff(13098,plain,
% 27.81/18.35 (v117(constB101)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13097, 1004, 13091])).
% 27.81/18.35 tff(13099,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB101) | (~v117(constB101)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB101) | (~v117(constB101)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13100,plain,
% 27.81/18.35 (((~v117(constB101)) | v116(constB101)) <=> (v116(constB101) | (~v117(constB101)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13101,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB101)) | v116(constB101))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB101) | (~v117(constB101))))),
% 27.81/18.35 inference(monotonicity,[status(thm)],[13100])).
% 27.81/18.35 tff(13102,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB101)) | v116(constB101))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB101) | (~v117(constB101)))),
% 27.81/18.35 inference(transitivity,[status(thm)],[13101, 13099])).
% 27.81/18.35 tff(13103,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB101)) | v116(constB101))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13104,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB101) | (~v117(constB101))),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13103, 13102])).
% 27.81/18.35 tff(13105,plain,
% 27.81/18.35 (v116(constB101)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13104, 272, 13098])).
% 27.81/18.35 tff(13106,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB101) | (~v116(constB101)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB101) | (~v116(constB101)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13107,plain,
% 27.81/18.35 (((~v116(constB101)) | v115(constB101)) <=> (v115(constB101) | (~v116(constB101)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13108,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB101)) | v115(constB101))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB101) | (~v116(constB101))))),
% 27.81/18.35 inference(monotonicity,[status(thm)],[13107])).
% 27.81/18.35 tff(13109,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB101)) | v115(constB101))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB101) | (~v116(constB101)))),
% 27.81/18.35 inference(transitivity,[status(thm)],[13108, 13106])).
% 27.81/18.35 tff(13110,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB101)) | v115(constB101))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13111,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB101) | (~v116(constB101))),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13110, 13109])).
% 27.81/18.35 tff(13112,plain,
% 27.81/18.35 (v115(constB101)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13111, 286, 13105])).
% 27.81/18.35 tff(13113,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB101) | (~v115(constB101)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB101) | (~v115(constB101)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13114,plain,
% 27.81/18.35 (((~v115(constB101)) | v114(constB101)) <=> (v114(constB101) | (~v115(constB101)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13115,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB101)) | v114(constB101))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB101) | (~v115(constB101))))),
% 27.81/18.35 inference(monotonicity,[status(thm)],[13114])).
% 27.81/18.35 tff(13116,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB101)) | v114(constB101))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB101) | (~v115(constB101)))),
% 27.81/18.35 inference(transitivity,[status(thm)],[13115, 13113])).
% 27.81/18.35 tff(13117,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB101)) | v114(constB101))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13118,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB101) | (~v115(constB101))),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13117, 13116])).
% 27.81/18.35 tff(13119,plain,
% 27.81/18.35 (v114(constB101)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13118, 300, 13112])).
% 27.81/18.35 tff(13120,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB101)) | v113(constB101))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB101)) | v113(constB101))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13121,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB101)) | v113(constB101))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13122,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB101)) | v113(constB101)),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13121, 13120])).
% 27.81/18.35 tff(13123,plain,
% 27.81/18.35 (v113(constB101)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13122, 314, 13119])).
% 27.81/18.35 tff(13124,assumption,(v26(constB101)), introduced(assumption)).
% 27.81/18.35 tff(13125,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB101))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13126,plain,
% 27.81/18.35 ($false),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13125, 95, 13124])).
% 27.81/18.35 tff(13127,plain,(~v26(constB101)), inference(lemma,lemma(discharge,[]))).
% 27.81/18.35 tff(13128,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | v112(constB101) | (~v113(constB101)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | v112(constB101) | (~v113(constB101)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13129,plain,
% 27.81/18.35 ((v26(constB101) | (~v113(constB101)) | v112(constB101)) <=> (v26(constB101) | v112(constB101) | (~v113(constB101)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13130,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | v112(constB101) | (~v113(constB101))))),
% 27.81/18.35 inference(monotonicity,[status(thm)],[13129])).
% 27.81/18.35 tff(13131,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | v112(constB101) | (~v113(constB101)))),
% 27.81/18.35 inference(transitivity,[status(thm)],[13130, 13128])).
% 27.81/18.35 tff(13132,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13133,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | v112(constB101) | (~v113(constB101))),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13132, 13131])).
% 27.81/18.35 tff(13134,plain,
% 27.81/18.35 (v112(constB101) | (~v113(constB101))),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13133, 328, 13127])).
% 27.81/18.35 tff(13135,plain,
% 27.81/18.35 (v112(constB101)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13134, 13123])).
% 27.81/18.35 tff(13136,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB101) | (~v112(constB101)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB101) | (~v112(constB101)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13137,plain,
% 27.81/18.35 (((~v112(constB101)) | v108(constB101)) <=> (v108(constB101) | (~v112(constB101)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13138,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB101)) | v108(constB101))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB101) | (~v112(constB101))))),
% 27.81/18.35 inference(monotonicity,[status(thm)],[13137])).
% 27.81/18.35 tff(13139,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB101)) | v108(constB101))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB101) | (~v112(constB101)))),
% 27.81/18.35 inference(transitivity,[status(thm)],[13138, 13136])).
% 27.81/18.35 tff(13140,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB101)) | v108(constB101))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13141,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB101) | (~v112(constB101))),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13140, 13139])).
% 27.81/18.35 tff(13142,plain,
% 27.81/18.35 (v108(constB101)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13141, 340, 13135])).
% 27.81/18.35 tff(13143,plain,
% 27.81/18.35 (nextState(constB101, constB102) <=> nextState(constB101, constB102)),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13144,axiom,(nextState(constB101, constB102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_101_1')).
% 27.81/18.35 tff(13145,plain,
% 27.81/18.35 (nextState(constB101, constB102)),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13144, 13143])).
% 27.81/18.35 tff(13146,plain,
% 27.81/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13147,plain,
% 27.81/18.35 (((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102)) <=> ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13148,plain,
% 27.81/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101))))),
% 27.81/18.35 inference(monotonicity,[status(thm)],[13147])).
% 27.81/18.35 tff(13149,plain,
% 27.81/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 27.81/18.35 inference(transitivity,[status(thm)],[13148, 13146])).
% 27.81/18.35 tff(13150,plain,
% 27.81/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13151,plain,
% 27.81/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101))),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13150, 13149])).
% 27.81/18.35 tff(13152,plain,
% 27.81/18.35 (v110(constB102) | (~v108(constB101))),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13151, 360, 13145])).
% 27.81/18.35 tff(13153,plain,
% 27.81/18.35 (v110(constB102)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13152, 13142])).
% 27.81/18.35 tff(13154,plain,
% 27.81/18.35 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13155,plain,
% 27.81/18.35 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13156,plain,
% 27.81/18.35 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102))),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13155, 13154])).
% 27.81/18.35 tff(13157,plain,
% 27.81/18.35 (~v104(constB102)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13156, 378, 13145, 12998])).
% 27.81/18.35 tff(13158,plain,
% 27.81/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13159,plain,
% 27.81/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13160,plain,
% 27.81/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB101, constB102)) | v102(constB102) | v104(constB102)),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13159, 13158])).
% 27.81/18.35 tff(13161,plain,
% 27.81/18.35 (v102(constB102) | v104(constB102)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13160, 392, 13145])).
% 27.81/18.35 tff(13162,plain,
% 27.81/18.35 (v102(constB102)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13161, 13157])).
% 27.81/18.35 tff(13163,plain,
% 27.81/18.35 (v1(constB102) <=> v1(constB102)),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13164,axiom,(v1(constB102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_102_1')).
% 27.81/18.35 tff(13165,plain,
% 27.81/18.35 (v1(constB102)),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13164, 13163])).
% 27.81/18.35 tff(13166,plain,
% 27.81/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13167,plain,
% 27.81/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13168,plain,
% 27.81/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102))),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13167, 13166])).
% 27.81/18.35 tff(13169,plain,
% 27.81/18.35 (v101(constB102) | (~v102(constB102))),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13168, 410, 13145, 13165])).
% 27.81/18.35 tff(13170,plain,
% 27.81/18.35 (v101(constB102)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13169, 13162])).
% 27.81/18.35 tff(13171,plain,
% 27.81/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13172,plain,
% 27.81/18.35 (((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102)) <=> ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13173,plain,
% 27.81/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102))))),
% 27.81/18.35 inference(monotonicity,[status(thm)],[13172])).
% 27.81/18.35 tff(13174,plain,
% 27.81/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 27.81/18.35 inference(transitivity,[status(thm)],[13173, 13171])).
% 27.81/18.35 tff(13175,plain,
% 27.81/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13176,plain,
% 27.81/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102))),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13175, 13174])).
% 27.81/18.35 tff(13177,plain,
% 27.81/18.35 (v100(constB102) | (~v101(constB102)) | (~v110(constB102))),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13176, 425, 13145])).
% 27.81/18.35 tff(13178,plain,
% 27.81/18.35 (v100(constB102) | (~v110(constB102))),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13177, 13170])).
% 27.81/18.35 tff(13179,plain,
% 27.81/18.35 (v100(constB102)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13178, 13153])).
% 27.81/18.35 tff(13180,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB101)) | (~v130(constB101, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB101)) | (~v130(constB101, 2)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13181,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB101)) | (~v130(constB101, 2)))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13182,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB101)) | (~v130(constB101, 2))),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13181, 13180])).
% 27.81/18.35 tff(13183,plain,
% 27.81/18.35 (~v130(constB101, 2)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13182, 1155, 13091])).
% 27.81/18.35 tff(13184,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB101, 2)) | v26(constB101) | v130(constB101, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB101, 2)) | v26(constB101) | v130(constB101, 2))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13185,plain,
% 27.81/18.35 ((v26(constB101) | v130(constB101, 2) | (~v127(constB101, 2))) <=> ((~v127(constB101, 2)) | v26(constB101) | v130(constB101, 2))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13186,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB101) | v130(constB101, 2) | (~v127(constB101, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB101, 2)) | v26(constB101) | v130(constB101, 2)))),
% 27.81/18.35 inference(monotonicity,[status(thm)],[13185])).
% 27.81/18.35 tff(13187,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB101) | v130(constB101, 2) | (~v127(constB101, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB101, 2)) | v26(constB101) | v130(constB101, 2))),
% 27.81/18.35 inference(transitivity,[status(thm)],[13186, 13184])).
% 27.81/18.35 tff(13188,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB101) | v130(constB101, 2) | (~v127(constB101, 2)))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13189,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB101, 2)) | v26(constB101) | v130(constB101, 2)),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13188, 13187])).
% 27.81/18.35 tff(13190,plain,
% 27.81/18.35 ((~v127(constB101, 2)) | v130(constB101, 2)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13189, 455, 13127])).
% 27.81/18.35 tff(13191,plain,
% 27.81/18.35 (~v127(constB101, 2)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13190, 13183])).
% 27.81/18.35 tff(13192,plain,
% 27.81/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB101, constB102)) | v127(constB101, 2) | (~v129(constB102, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB101, constB102)) | v127(constB101, 2) | (~v129(constB102, 2)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13193,plain,
% 27.81/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB101, constB102)) | v127(constB101, 2) | (~v129(constB102, 2)))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13194,plain,
% 27.81/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB101, constB102)) | v127(constB101, 2) | (~v129(constB102, 2))),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13193, 13192])).
% 27.81/18.35 tff(13195,plain,
% 27.81/18.35 (v127(constB101, 2) | (~v129(constB102, 2))),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13194, 473, 13145])).
% 27.81/18.35 tff(13196,plain,
% 27.81/18.35 (~v129(constB102, 2)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13195, 13191])).
% 27.81/18.35 tff(13197,plain,
% 27.81/18.35 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB102, 2)) | v129(constB102, 2) | (~v100(constB102)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB102, 2)) | v129(constB102, 2) | (~v100(constB102)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13198,plain,
% 27.81/18.35 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB102, 2)) | v129(constB102, 2) | (~v100(constB102)))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13199,plain,
% 27.81/18.35 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB102, 2)) | v129(constB102, 2) | (~v100(constB102))),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13198, 13197])).
% 27.81/18.35 tff(13200,plain,
% 27.81/18.35 ((~v90(constB102, 2)) | (~v100(constB102))),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13199, 488, 13196])).
% 27.81/18.35 tff(13201,plain,
% 27.81/18.35 (~v90(constB102, 2)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13200, 13179])).
% 27.81/18.35 tff(13202,plain,
% 27.81/18.35 ((~v1(constB103)) <=> (~v1(constB103))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13203,axiom,(~v1(constB103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_103_1_1')).
% 27.81/18.35 tff(13204,plain,
% 27.81/18.35 (~v1(constB103)),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13203, 13202])).
% 27.81/18.35 tff(13205,plain,
% 27.81/18.35 (nextState(constB102, constB103) <=> nextState(constB102, constB103)),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13206,axiom,(nextState(constB102, constB103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_102_1')).
% 27.81/18.35 tff(13207,plain,
% 27.81/18.35 (nextState(constB102, constB103)),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13206, 13205])).
% 27.81/18.35 tff(13208,plain,
% 27.81/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13209,plain,
% 27.81/18.35 (((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103)) <=> (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13210,plain,
% 27.81/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103))))),
% 27.81/18.35 inference(monotonicity,[status(thm)],[13209])).
% 27.81/18.35 tff(13211,plain,
% 27.81/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 27.81/18.35 inference(transitivity,[status(thm)],[13210, 13208])).
% 27.81/18.35 tff(13212,plain,
% 27.81/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13213,plain,
% 27.81/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103))),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13212, 13211])).
% 27.81/18.35 tff(13214,plain,
% 27.81/18.35 (~v101(constB103)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13213, 138, 13207, 13204])).
% 27.81/18.35 tff(13215,plain,
% 27.81/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13216,plain,
% 27.81/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13217,plain,
% 27.81/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103))),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13216, 13215])).
% 27.81/18.35 tff(13218,plain,
% 27.81/18.35 (v101(constB103) | (~v100(constB103))),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13217, 155, 13207])).
% 27.81/18.35 tff(13219,plain,
% 27.81/18.35 (~v100(constB103)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13218, 13214])).
% 27.81/18.35 tff(13220,plain,
% 27.81/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB102, 2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB102, 2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 2)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13221,plain,
% 27.81/18.35 (((~nextState(constB102, constB103)) | v90(constB102, 2) | v100(constB103) | (~v90(constB103, 2))) <=> (v90(constB102, 2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 2)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13222,plain,
% 27.81/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB102, constB103)) | v90(constB102, 2) | v100(constB103) | (~v90(constB103, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB102, 2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 2))))),
% 27.81/18.35 inference(monotonicity,[status(thm)],[13221])).
% 27.81/18.35 tff(13223,plain,
% 27.81/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB102, constB103)) | v90(constB102, 2) | v100(constB103) | (~v90(constB103, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB102, 2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 2)))),
% 27.81/18.35 inference(transitivity,[status(thm)],[13222, 13220])).
% 27.81/18.35 tff(13224,plain,
% 27.81/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB102, constB103)) | v90(constB102, 2) | v100(constB103) | (~v90(constB103, 2)))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13225,plain,
% 27.81/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB102, 2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 2))),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13224, 13223])).
% 27.81/18.35 tff(13226,plain,
% 27.81/18.35 (v90(constB102, 2) | v100(constB103) | (~v90(constB103, 2))),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13225, 170, 13207])).
% 27.81/18.35 tff(13227,plain,
% 27.81/18.35 (v90(constB102, 2) | (~v90(constB103, 2))),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13226, 13219])).
% 27.81/18.35 tff(13228,plain,
% 27.81/18.35 (~v90(constB103, 2)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13227, 13201])).
% 27.81/18.35 tff(13229,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB101)) | v130(constB101, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB101)) | v130(constB101, 1))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13230,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB101)) | v130(constB101, 1))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13231,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB101)) | v130(constB101, 1)),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13230, 13229])).
% 27.81/18.35 tff(13232,plain,
% 27.81/18.35 (v130(constB101, 1)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13231, 1235, 13091])).
% 27.81/18.35 tff(13233,plain,
% 27.81/18.35 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB101) | (~v130(constB101, 1)) | v127(constB101, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB101) | (~v130(constB101, 1)) | v127(constB101, 1))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13234,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB101) | (~v130(constB101, 1)) | v127(constB101, 1))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13235,plain,
% 27.81/18.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB101) | (~v130(constB101, 1)) | v127(constB101, 1)),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13234, 13233])).
% 27.81/18.35 tff(13236,plain,
% 27.81/18.35 ((~v130(constB101, 1)) | v127(constB101, 1)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13235, 855, 13127])).
% 27.81/18.35 tff(13237,plain,
% 27.81/18.35 (v127(constB101, 1)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13236, 13232])).
% 27.81/18.35 tff(13238,plain,
% 27.81/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB101, constB102)) | (~v127(constB101, 1)) | v129(constB102, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB101, constB102)) | (~v127(constB101, 1)) | v129(constB102, 1))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13239,plain,
% 27.81/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB101, constB102)) | (~v127(constB101, 1)) | v129(constB102, 1))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13240,plain,
% 27.81/18.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB101, constB102)) | (~v127(constB101, 1)) | v129(constB102, 1)),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13239, 13238])).
% 27.81/18.35 tff(13241,plain,
% 27.81/18.35 ((~v127(constB101, 1)) | v129(constB102, 1)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13240, 870, 13145])).
% 27.81/18.35 tff(13242,plain,
% 27.81/18.35 (v129(constB102, 1)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13241, 13237])).
% 27.81/18.35 tff(13243,plain,
% 27.81/18.35 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB102, 1) | (~v129(constB102, 1)) | (~v100(constB102)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB102, 1) | (~v129(constB102, 1)) | (~v100(constB102)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13244,plain,
% 27.81/18.35 ((v90(constB102, 1) | (~v100(constB102)) | (~v129(constB102, 1))) <=> (v90(constB102, 1) | (~v129(constB102, 1)) | (~v100(constB102)))),
% 27.81/18.35 inference(rewrite,[status(thm)],[])).
% 27.81/18.35 tff(13245,plain,
% 27.81/18.35 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB102, 1) | (~v100(constB102)) | (~v129(constB102, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB102, 1) | (~v129(constB102, 1)) | (~v100(constB102))))),
% 27.81/18.35 inference(monotonicity,[status(thm)],[13244])).
% 27.81/18.35 tff(13246,plain,
% 27.81/18.35 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB102, 1) | (~v100(constB102)) | (~v129(constB102, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB102, 1) | (~v129(constB102, 1)) | (~v100(constB102)))),
% 27.81/18.35 inference(transitivity,[status(thm)],[13245, 13243])).
% 27.81/18.35 tff(13247,plain,
% 27.81/18.35 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB102, 1) | (~v100(constB102)) | (~v129(constB102, 1)))),
% 27.81/18.35 inference(quant_inst,[status(thm)],[])).
% 27.81/18.35 tff(13248,plain,
% 27.81/18.35 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB102, 1) | (~v129(constB102, 1)) | (~v100(constB102))),
% 27.81/18.35 inference(modus_ponens,[status(thm)],[13247, 13246])).
% 27.81/18.35 tff(13249,plain,
% 27.81/18.35 (v90(constB102, 1) | (~v100(constB102))),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13248, 885, 13242])).
% 27.81/18.35 tff(13250,plain,
% 27.81/18.35 (v90(constB102, 1)),
% 27.81/18.35 inference(unit_resolution,[status(thm)],[13249, 13179])).
% 27.81/18.35 tff(13251,plain,
% 27.81/18.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB102, 1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB102, 1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 1))),
% 27.81/18.36 inference(rewrite,[status(thm)],[])).
% 27.81/18.36 tff(13252,plain,
% 27.81/18.36 (((~nextState(constB102, constB103)) | (~v90(constB102, 1)) | v100(constB103) | v90(constB103, 1)) <=> ((~v90(constB102, 1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 1))),
% 27.81/18.36 inference(rewrite,[status(thm)],[])).
% 27.81/18.36 tff(13253,plain,
% 27.81/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB102, constB103)) | (~v90(constB102, 1)) | v100(constB103) | v90(constB103, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB102, 1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 1)))),
% 27.81/18.36 inference(monotonicity,[status(thm)],[13252])).
% 27.81/18.36 tff(13254,plain,
% 27.81/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB102, constB103)) | (~v90(constB102, 1)) | v100(constB103) | v90(constB103, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB102, 1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 1))),
% 27.81/18.36 inference(transitivity,[status(thm)],[13253, 13251])).
% 27.81/18.36 tff(13255,plain,
% 27.81/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB102, constB103)) | (~v90(constB102, 1)) | v100(constB103) | v90(constB103, 1))),
% 27.81/18.36 inference(quant_inst,[status(thm)],[])).
% 27.81/18.36 tff(13256,plain,
% 27.81/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB102, 1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 1)),
% 27.81/18.36 inference(modus_ponens,[status(thm)],[13255, 13254])).
% 27.81/18.36 tff(13257,plain,
% 27.81/18.36 ((~v90(constB102, 1)) | v100(constB103) | v90(constB103, 1)),
% 27.81/18.36 inference(unit_resolution,[status(thm)],[13256, 903, 13207])).
% 27.81/18.36 tff(13258,plain,
% 27.81/18.36 ((~v90(constB102, 1)) | v90(constB103, 1)),
% 27.81/18.36 inference(unit_resolution,[status(thm)],[13257, 13219])).
% 27.81/18.36 tff(13259,plain,
% 27.81/18.36 (v90(constB103, 1)),
% 27.81/18.36 inference(unit_resolution,[status(thm)],[13258, 13250])).
% 27.81/18.36 tff(13260,plain,
% 27.81/18.36 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB101)) | v130(constB101, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB101)) | v130(constB101, 0))),
% 27.81/18.36 inference(rewrite,[status(thm)],[])).
% 27.81/18.36 tff(13261,plain,
% 27.81/18.36 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB101)) | v130(constB101, 0))),
% 27.81/18.36 inference(quant_inst,[status(thm)],[])).
% 27.81/18.36 tff(13262,plain,
% 27.81/18.36 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB101)) | v130(constB101, 0)),
% 27.81/18.36 inference(modus_ponens,[status(thm)],[13261, 13260])).
% 27.81/18.36 tff(13263,plain,
% 27.81/18.36 (v130(constB101, 0)),
% 27.81/18.36 inference(unit_resolution,[status(thm)],[13262, 1099, 13091])).
% 27.81/18.36 tff(13264,plain,
% 27.81/18.36 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB101) | (~v130(constB101, 0)) | v127(constB101, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB101) | (~v130(constB101, 0)) | v127(constB101, 0))),
% 27.81/18.36 inference(rewrite,[status(thm)],[])).
% 27.81/18.36 tff(13265,plain,
% 27.81/18.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB101) | (~v130(constB101, 0)) | v127(constB101, 0))),
% 27.81/18.36 inference(quant_inst,[status(thm)],[])).
% 27.81/18.36 tff(13266,plain,
% 27.81/18.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB101) | (~v130(constB101, 0)) | v127(constB101, 0)),
% 27.81/18.36 inference(modus_ponens,[status(thm)],[13265, 13264])).
% 27.84/18.36 tff(13267,plain,
% 27.84/18.36 ((~v130(constB101, 0)) | v127(constB101, 0)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13266, 612, 13127])).
% 27.84/18.36 tff(13268,plain,
% 27.84/18.36 (v127(constB101, 0)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13267, 13263])).
% 27.84/18.36 tff(13269,plain,
% 27.84/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB101, constB102)) | (~v127(constB101, 0)) | v129(constB102, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB101, constB102)) | (~v127(constB101, 0)) | v129(constB102, 0))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13270,plain,
% 27.84/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB101, constB102)) | (~v127(constB101, 0)) | v129(constB102, 0))),
% 27.84/18.36 inference(quant_inst,[status(thm)],[])).
% 27.84/18.36 tff(13271,plain,
% 27.84/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB101, constB102)) | (~v127(constB101, 0)) | v129(constB102, 0)),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13270, 13269])).
% 27.84/18.36 tff(13272,plain,
% 27.84/18.36 ((~v127(constB101, 0)) | v129(constB102, 0)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13271, 627, 13145])).
% 27.84/18.36 tff(13273,plain,
% 27.84/18.36 (v129(constB102, 0)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13272, 13268])).
% 27.84/18.36 tff(13274,plain,
% 27.84/18.36 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB102, 0) | (~v129(constB102, 0)) | (~v100(constB102)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB102, 0) | (~v129(constB102, 0)) | (~v100(constB102)))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13275,plain,
% 27.84/18.36 ((v90(constB102, 0) | (~v100(constB102)) | (~v129(constB102, 0))) <=> (v90(constB102, 0) | (~v129(constB102, 0)) | (~v100(constB102)))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13276,plain,
% 27.84/18.36 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB102, 0) | (~v100(constB102)) | (~v129(constB102, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB102, 0) | (~v129(constB102, 0)) | (~v100(constB102))))),
% 27.84/18.36 inference(monotonicity,[status(thm)],[13275])).
% 27.84/18.36 tff(13277,plain,
% 27.84/18.36 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB102, 0) | (~v100(constB102)) | (~v129(constB102, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB102, 0) | (~v129(constB102, 0)) | (~v100(constB102)))),
% 27.84/18.36 inference(transitivity,[status(thm)],[13276, 13274])).
% 27.84/18.36 tff(13278,plain,
% 27.84/18.36 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB102, 0) | (~v100(constB102)) | (~v129(constB102, 0)))),
% 27.84/18.36 inference(quant_inst,[status(thm)],[])).
% 27.84/18.36 tff(13279,plain,
% 27.84/18.36 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB102, 0) | (~v129(constB102, 0)) | (~v100(constB102))),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13278, 13277])).
% 27.84/18.36 tff(13280,plain,
% 27.84/18.36 (v90(constB102, 0) | (~v100(constB102))),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13279, 642, 13273])).
% 27.84/18.36 tff(13281,plain,
% 27.84/18.36 (v90(constB102, 0)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13280, 13179])).
% 27.84/18.36 tff(13282,plain,
% 27.84/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB102, 0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB102, 0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 0))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13283,plain,
% 27.84/18.36 (((~nextState(constB102, constB103)) | (~v90(constB102, 0)) | v100(constB103) | v90(constB103, 0)) <=> ((~v90(constB102, 0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 0))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13284,plain,
% 27.84/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB102, constB103)) | (~v90(constB102, 0)) | v100(constB103) | v90(constB103, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB102, 0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 0)))),
% 27.84/18.36 inference(monotonicity,[status(thm)],[13283])).
% 27.84/18.36 tff(13285,plain,
% 27.84/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB102, constB103)) | (~v90(constB102, 0)) | v100(constB103) | v90(constB103, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB102, 0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 0))),
% 27.84/18.36 inference(transitivity,[status(thm)],[13284, 13282])).
% 27.84/18.36 tff(13286,plain,
% 27.84/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB102, constB103)) | (~v90(constB102, 0)) | v100(constB103) | v90(constB103, 0))),
% 27.84/18.36 inference(quant_inst,[status(thm)],[])).
% 27.84/18.36 tff(13287,plain,
% 27.84/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB102, 0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 0)),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13286, 13285])).
% 27.84/18.36 tff(13288,plain,
% 27.84/18.36 ((~v90(constB102, 0)) | v100(constB103) | v90(constB103, 0)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13287, 660, 13207])).
% 27.84/18.36 tff(13289,plain,
% 27.84/18.36 ((~v90(constB102, 0)) | v90(constB103, 0)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13288, 13219])).
% 27.84/18.36 tff(13290,plain,
% 27.84/18.36 (v90(constB103, 0)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13289, 13281])).
% 27.84/18.36 tff(13291,plain,
% 27.84/18.36 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB103, 0)) | (~v90(constB103, 1)) | v90(constB103, 2) | v122(constB103))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB103, 0)) | (~v90(constB103, 1)) | v90(constB103, 2) | v122(constB103))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13292,plain,
% 27.84/18.36 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB103, 0)) | (~v90(constB103, 1)) | v90(constB103, 2) | v122(constB103))),
% 27.84/18.36 inference(quant_inst,[status(thm)],[])).
% 27.84/18.36 tff(13293,plain,
% 27.84/18.36 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB103, 0)) | (~v90(constB103, 1)) | v90(constB103, 2) | v122(constB103)),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13292, 13291])).
% 27.84/18.36 tff(13294,plain,
% 27.84/18.36 (v122(constB103)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13293, 1260, 13290, 13259, 13228])).
% 27.84/18.36 tff(13295,plain,
% 27.84/18.36 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB103)) | v116(constB103))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB103)) | v116(constB103))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13296,plain,
% 27.84/18.36 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB103)) | v116(constB103))),
% 27.84/18.36 inference(quant_inst,[status(thm)],[])).
% 27.84/18.36 tff(13297,plain,
% 27.84/18.36 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB103)) | v116(constB103)),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13296, 13295])).
% 27.84/18.36 tff(13298,plain,
% 27.84/18.36 (v116(constB103)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13297, 1272, 13294])).
% 27.84/18.36 tff(13299,plain,
% 27.84/18.36 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB103)) | v115(constB103))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB103)) | v115(constB103))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13300,plain,
% 27.84/18.36 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB103)) | v115(constB103))),
% 27.84/18.36 inference(quant_inst,[status(thm)],[])).
% 27.84/18.36 tff(13301,plain,
% 27.84/18.36 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB103)) | v115(constB103)),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13300, 13299])).
% 27.84/18.36 tff(13302,plain,
% 27.84/18.36 (v115(constB103)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13301, 286, 13298])).
% 27.84/18.36 tff(13303,plain,
% 27.84/18.36 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB103) | (~v115(constB103)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB103) | (~v115(constB103)))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13304,plain,
% 27.84/18.36 (((~v115(constB103)) | v114(constB103)) <=> (v114(constB103) | (~v115(constB103)))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13305,plain,
% 27.84/18.36 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB103)) | v114(constB103))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB103) | (~v115(constB103))))),
% 27.84/18.36 inference(monotonicity,[status(thm)],[13304])).
% 27.84/18.36 tff(13306,plain,
% 27.84/18.36 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB103)) | v114(constB103))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB103) | (~v115(constB103)))),
% 27.84/18.36 inference(transitivity,[status(thm)],[13305, 13303])).
% 27.84/18.36 tff(13307,plain,
% 27.84/18.36 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB103)) | v114(constB103))),
% 27.84/18.36 inference(quant_inst,[status(thm)],[])).
% 27.84/18.36 tff(13308,plain,
% 27.84/18.36 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB103) | (~v115(constB103))),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13307, 13306])).
% 27.84/18.36 tff(13309,plain,
% 27.84/18.36 (v114(constB103)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13308, 300, 13302])).
% 27.84/18.36 tff(13310,plain,
% 27.84/18.36 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB103) | (~v114(constB103)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB103) | (~v114(constB103)))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13311,plain,
% 27.84/18.36 (((~v114(constB103)) | v113(constB103)) <=> (v113(constB103) | (~v114(constB103)))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13312,plain,
% 27.84/18.36 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB103)) | v113(constB103))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB103) | (~v114(constB103))))),
% 27.84/18.36 inference(monotonicity,[status(thm)],[13311])).
% 27.84/18.36 tff(13313,plain,
% 27.84/18.36 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB103)) | v113(constB103))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB103) | (~v114(constB103)))),
% 27.84/18.36 inference(transitivity,[status(thm)],[13312, 13310])).
% 27.84/18.36 tff(13314,plain,
% 27.84/18.36 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB103)) | v113(constB103))),
% 27.84/18.36 inference(quant_inst,[status(thm)],[])).
% 27.84/18.36 tff(13315,plain,
% 27.84/18.36 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB103) | (~v114(constB103))),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13314, 13313])).
% 27.84/18.36 tff(13316,plain,
% 27.84/18.36 (v113(constB103)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13315, 314, 13309])).
% 27.84/18.36 tff(13317,assumption,(v26(constB103)), introduced(assumption)).
% 27.84/18.36 tff(13318,plain,
% 27.84/18.36 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB103))),
% 27.84/18.36 inference(quant_inst,[status(thm)],[])).
% 27.84/18.36 tff(13319,plain,
% 27.84/18.36 ($false),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13318, 95, 13317])).
% 27.84/18.36 tff(13320,plain,(~v26(constB103)), inference(lemma,lemma(discharge,[]))).
% 27.84/18.36 tff(13321,plain,
% 27.84/18.36 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | (~v113(constB103)) | v112(constB103))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13322,plain,
% 27.84/18.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))),
% 27.84/18.36 inference(quant_inst,[status(thm)],[])).
% 27.84/18.36 tff(13323,plain,
% 27.84/18.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | (~v113(constB103)) | v112(constB103)),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13322, 13321])).
% 27.84/18.36 tff(13324,plain,
% 27.84/18.36 ((~v113(constB103)) | v112(constB103)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13323, 328, 13320])).
% 27.84/18.36 tff(13325,plain,
% 27.84/18.36 (v112(constB103)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13324, 13316])).
% 27.84/18.36 tff(13326,plain,
% 27.84/18.36 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB103) | (~v112(constB103)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v112(constB103)))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13327,plain,
% 27.84/18.36 (((~v112(constB103)) | v108(constB103)) <=> (v108(constB103) | (~v112(constB103)))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13328,plain,
% 27.84/18.36 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB103)) | v108(constB103))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB103) | (~v112(constB103))))),
% 27.84/18.36 inference(monotonicity,[status(thm)],[13327])).
% 27.84/18.36 tff(13329,plain,
% 27.84/18.36 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB103)) | v108(constB103))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v112(constB103)))),
% 27.84/18.36 inference(transitivity,[status(thm)],[13328, 13326])).
% 27.84/18.36 tff(13330,plain,
% 27.84/18.36 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB103)) | v108(constB103))),
% 27.84/18.36 inference(quant_inst,[status(thm)],[])).
% 27.84/18.36 tff(13331,plain,
% 27.84/18.36 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v112(constB103))),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13330, 13329])).
% 27.84/18.36 tff(13332,plain,
% 27.84/18.36 (v108(constB103)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13331, 340, 13325])).
% 27.84/18.36 tff(13333,plain,
% 27.84/18.36 (nextState(constB103, constB104) <=> nextState(constB103, constB104)),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13334,axiom,(nextState(constB103, constB104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_103_1')).
% 27.84/18.36 tff(13335,plain,
% 27.84/18.36 (nextState(constB103, constB104)),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13334, 13333])).
% 27.84/18.36 tff(13336,plain,
% 27.84/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13337,plain,
% 27.84/18.36 (((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104)) <=> ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13338,plain,
% 27.84/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103))))),
% 27.84/18.36 inference(monotonicity,[status(thm)],[13337])).
% 27.84/18.36 tff(13339,plain,
% 27.84/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 27.84/18.36 inference(transitivity,[status(thm)],[13338, 13336])).
% 27.84/18.36 tff(13340,plain,
% 27.84/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))),
% 27.84/18.36 inference(quant_inst,[status(thm)],[])).
% 27.84/18.36 tff(13341,plain,
% 27.84/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103))),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13340, 13339])).
% 27.84/18.36 tff(13342,plain,
% 27.84/18.36 (v110(constB104) | (~v108(constB103))),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13341, 360, 13335])).
% 27.84/18.36 tff(13343,plain,
% 27.84/18.36 (v110(constB104)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13342, 13332])).
% 27.84/18.36 tff(13344,plain,
% 27.84/18.36 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13345,plain,
% 27.84/18.36 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))),
% 27.84/18.36 inference(quant_inst,[status(thm)],[])).
% 27.84/18.36 tff(13346,plain,
% 27.84/18.36 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104))),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13345, 13344])).
% 27.84/18.36 tff(13347,plain,
% 27.84/18.36 (~v104(constB104)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13346, 378, 13335, 13204])).
% 27.84/18.36 tff(13348,plain,
% 27.84/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13349,plain,
% 27.84/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))),
% 27.84/18.36 inference(quant_inst,[status(thm)],[])).
% 27.84/18.36 tff(13350,plain,
% 27.84/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB103, constB104)) | v102(constB104) | v104(constB104)),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13349, 13348])).
% 27.84/18.36 tff(13351,plain,
% 27.84/18.36 (v102(constB104) | v104(constB104)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13350, 392, 13335])).
% 27.84/18.36 tff(13352,plain,
% 27.84/18.36 (v102(constB104)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13351, 13347])).
% 27.84/18.36 tff(13353,plain,
% 27.84/18.36 (v1(constB104) <=> v1(constB104)),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13354,axiom,(v1(constB104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_104_1')).
% 27.84/18.36 tff(13355,plain,
% 27.84/18.36 (v1(constB104)),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13354, 13353])).
% 27.84/18.36 tff(13356,plain,
% 27.84/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13357,plain,
% 27.84/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))),
% 27.84/18.36 inference(quant_inst,[status(thm)],[])).
% 27.84/18.36 tff(13358,plain,
% 27.84/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104))),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13357, 13356])).
% 27.84/18.36 tff(13359,plain,
% 27.84/18.36 (v101(constB104) | (~v102(constB104))),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13358, 410, 13335, 13355])).
% 27.84/18.36 tff(13360,plain,
% 27.84/18.36 (v101(constB104)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13359, 13352])).
% 27.84/18.36 tff(13361,plain,
% 27.84/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13362,plain,
% 27.84/18.36 (((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104)) <=> ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13363,plain,
% 27.84/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104))))),
% 27.84/18.36 inference(monotonicity,[status(thm)],[13362])).
% 27.84/18.36 tff(13364,plain,
% 27.84/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 27.84/18.36 inference(transitivity,[status(thm)],[13363, 13361])).
% 27.84/18.36 tff(13365,plain,
% 27.84/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))),
% 27.84/18.36 inference(quant_inst,[status(thm)],[])).
% 27.84/18.36 tff(13366,plain,
% 27.84/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104))),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13365, 13364])).
% 27.84/18.36 tff(13367,plain,
% 27.84/18.36 (v100(constB104) | (~v101(constB104)) | (~v110(constB104))),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13366, 425, 13335])).
% 27.84/18.36 tff(13368,plain,
% 27.84/18.36 (v100(constB104) | (~v110(constB104))),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13367, 13360])).
% 27.84/18.36 tff(13369,plain,
% 27.84/18.36 (v100(constB104)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13368, 13343])).
% 27.84/18.36 tff(13370,plain,
% 27.84/18.36 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB103)) | v130(constB103, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB103)) | v130(constB103, 2))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13371,plain,
% 27.84/18.36 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB103)) | v130(constB103, 2))),
% 27.84/18.36 inference(quant_inst,[status(thm)],[])).
% 27.84/18.36 tff(13372,plain,
% 27.84/18.36 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB103)) | v130(constB103, 2)),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13371, 13370])).
% 27.84/18.36 tff(13373,plain,
% 27.84/18.36 (v130(constB103, 2)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13372, 1484, 13294])).
% 27.84/18.36 tff(13374,plain,
% 27.84/18.36 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB103) | (~v130(constB103, 2)) | v127(constB103, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB103) | (~v130(constB103, 2)) | v127(constB103, 2))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13375,plain,
% 27.84/18.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB103) | (~v130(constB103, 2)) | v127(constB103, 2))),
% 27.84/18.36 inference(quant_inst,[status(thm)],[])).
% 27.84/18.36 tff(13376,plain,
% 27.84/18.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB103) | (~v130(constB103, 2)) | v127(constB103, 2)),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13375, 13374])).
% 27.84/18.36 tff(13377,plain,
% 27.84/18.36 ((~v130(constB103, 2)) | v127(constB103, 2)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13376, 1498, 13320])).
% 27.84/18.36 tff(13378,plain,
% 27.84/18.36 (v127(constB103, 2)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13377, 13373])).
% 27.84/18.36 tff(13379,plain,
% 27.84/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB103, constB104)) | (~v127(constB103, 2)) | v129(constB104, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB103, constB104)) | (~v127(constB103, 2)) | v129(constB104, 2))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13380,plain,
% 27.84/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB103, constB104)) | (~v127(constB103, 2)) | v129(constB104, 2))),
% 27.84/18.36 inference(quant_inst,[status(thm)],[])).
% 27.84/18.36 tff(13381,plain,
% 27.84/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB103, constB104)) | (~v127(constB103, 2)) | v129(constB104, 2)),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13380, 13379])).
% 27.84/18.36 tff(13382,plain,
% 27.84/18.36 ((~v127(constB103, 2)) | v129(constB104, 2)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13381, 1513, 13335])).
% 27.84/18.36 tff(13383,plain,
% 27.84/18.36 (v129(constB104, 2)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13382, 13378])).
% 27.84/18.36 tff(13384,plain,
% 27.84/18.36 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB104, 2) | (~v129(constB104, 2)) | (~v100(constB104)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB104, 2) | (~v129(constB104, 2)) | (~v100(constB104)))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13385,plain,
% 27.84/18.36 ((v90(constB104, 2) | (~v100(constB104)) | (~v129(constB104, 2))) <=> (v90(constB104, 2) | (~v129(constB104, 2)) | (~v100(constB104)))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13386,plain,
% 27.84/18.36 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB104, 2) | (~v100(constB104)) | (~v129(constB104, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB104, 2) | (~v129(constB104, 2)) | (~v100(constB104))))),
% 27.84/18.36 inference(monotonicity,[status(thm)],[13385])).
% 27.84/18.36 tff(13387,plain,
% 27.84/18.36 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB104, 2) | (~v100(constB104)) | (~v129(constB104, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB104, 2) | (~v129(constB104, 2)) | (~v100(constB104)))),
% 27.84/18.36 inference(transitivity,[status(thm)],[13386, 13384])).
% 27.84/18.36 tff(13388,plain,
% 27.84/18.36 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB104, 2) | (~v100(constB104)) | (~v129(constB104, 2)))),
% 27.84/18.36 inference(quant_inst,[status(thm)],[])).
% 27.84/18.36 tff(13389,plain,
% 27.84/18.36 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB104, 2) | (~v129(constB104, 2)) | (~v100(constB104))),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13388, 13387])).
% 27.84/18.36 tff(13390,plain,
% 27.84/18.36 (v90(constB104, 2) | (~v100(constB104))),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13389, 1528, 13383])).
% 27.84/18.36 tff(13391,plain,
% 27.84/18.36 (v90(constB104, 2)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13390, 13369])).
% 27.84/18.36 tff(13392,plain,
% 27.84/18.36 ((~v1(constB105)) <=> (~v1(constB105))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13393,axiom,(~v1(constB105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_105_1_1')).
% 27.84/18.36 tff(13394,plain,
% 27.84/18.36 (~v1(constB105)),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13393, 13392])).
% 27.84/18.36 tff(13395,plain,
% 27.84/18.36 (nextState(constB104, constB105) <=> nextState(constB104, constB105)),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13396,axiom,(nextState(constB104, constB105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_104_1')).
% 27.84/18.36 tff(13397,plain,
% 27.84/18.36 (nextState(constB104, constB105)),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13396, 13395])).
% 27.84/18.36 tff(13398,plain,
% 27.84/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13399,plain,
% 27.84/18.36 (((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105)) <=> (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13400,plain,
% 27.84/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105))))),
% 27.84/18.36 inference(monotonicity,[status(thm)],[13399])).
% 27.84/18.36 tff(13401,plain,
% 27.84/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 27.84/18.36 inference(transitivity,[status(thm)],[13400, 13398])).
% 27.84/18.36 tff(13402,plain,
% 27.84/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))),
% 27.84/18.36 inference(quant_inst,[status(thm)],[])).
% 27.84/18.36 tff(13403,plain,
% 27.84/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105))),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13402, 13401])).
% 27.84/18.36 tff(13404,plain,
% 27.84/18.36 (~v101(constB105)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13403, 138, 13397, 13394])).
% 27.84/18.36 tff(13405,plain,
% 27.84/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13406,plain,
% 27.84/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))),
% 27.84/18.36 inference(quant_inst,[status(thm)],[])).
% 27.84/18.36 tff(13407,plain,
% 27.84/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105))),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13406, 13405])).
% 27.84/18.36 tff(13408,plain,
% 27.84/18.36 (v101(constB105) | (~v100(constB105))),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13407, 155, 13397])).
% 27.84/18.36 tff(13409,plain,
% 27.84/18.36 (~v100(constB105)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13408, 13404])).
% 27.84/18.36 tff(13410,plain,
% 27.84/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB104, 2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB104, 2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, 2))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13411,plain,
% 27.84/18.36 (((~nextState(constB104, constB105)) | (~v90(constB104, 2)) | v100(constB105) | v90(constB105, 2)) <=> ((~v90(constB104, 2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, 2))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13412,plain,
% 27.84/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, 2)) | v100(constB105) | v90(constB105, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB104, 2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, 2)))),
% 27.84/18.36 inference(monotonicity,[status(thm)],[13411])).
% 27.84/18.36 tff(13413,plain,
% 27.84/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, 2)) | v100(constB105) | v90(constB105, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB104, 2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, 2))),
% 27.84/18.36 inference(transitivity,[status(thm)],[13412, 13410])).
% 27.84/18.36 tff(13414,plain,
% 27.84/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, 2)) | v100(constB105) | v90(constB105, 2))),
% 27.84/18.36 inference(quant_inst,[status(thm)],[])).
% 27.84/18.36 tff(13415,plain,
% 27.84/18.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB104, 2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, 2)),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13414, 13413])).
% 27.84/18.36 tff(13416,plain,
% 27.84/18.36 ((~v90(constB104, 2)) | v100(constB105) | v90(constB105, 2)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13415, 1546, 13397])).
% 27.84/18.36 tff(13417,plain,
% 27.84/18.36 ((~v90(constB104, 2)) | v90(constB105, 2)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13416, 13409])).
% 27.84/18.36 tff(13418,plain,
% 27.84/18.36 (v90(constB105, 2)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13417, 13391])).
% 27.84/18.36 tff(13419,plain,
% 27.84/18.36 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB103)) | (~v130(constB103, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB103)) | (~v130(constB103, 1)))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13420,plain,
% 27.84/18.36 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB103)) | (~v130(constB103, 1)))),
% 27.84/18.36 inference(quant_inst,[status(thm)],[])).
% 27.84/18.36 tff(13421,plain,
% 27.84/18.36 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB103)) | (~v130(constB103, 1))),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13420, 13419])).
% 27.84/18.36 tff(13422,plain,
% 27.84/18.36 (~v130(constB103, 1)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13421, 1424, 13294])).
% 27.84/18.36 tff(13423,plain,
% 27.84/18.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB103, 1)) | v26(constB103) | v130(constB103, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB103, 1)) | v26(constB103) | v130(constB103, 1))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13424,plain,
% 27.84/18.36 ((v26(constB103) | v130(constB103, 1) | (~v127(constB103, 1))) <=> ((~v127(constB103, 1)) | v26(constB103) | v130(constB103, 1))),
% 27.84/18.36 inference(rewrite,[status(thm)],[])).
% 27.84/18.36 tff(13425,plain,
% 27.84/18.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB103) | v130(constB103, 1) | (~v127(constB103, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB103, 1)) | v26(constB103) | v130(constB103, 1)))),
% 27.84/18.36 inference(monotonicity,[status(thm)],[13424])).
% 27.84/18.36 tff(13426,plain,
% 27.84/18.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB103) | v130(constB103, 1) | (~v127(constB103, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB103, 1)) | v26(constB103) | v130(constB103, 1))),
% 27.84/18.36 inference(transitivity,[status(thm)],[13425, 13423])).
% 27.84/18.36 tff(13427,plain,
% 27.84/18.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB103) | v130(constB103, 1) | (~v127(constB103, 1)))),
% 27.84/18.36 inference(quant_inst,[status(thm)],[])).
% 27.84/18.36 tff(13428,plain,
% 27.84/18.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB103, 1)) | v26(constB103) | v130(constB103, 1)),
% 27.84/18.36 inference(modus_ponens,[status(thm)],[13427, 13426])).
% 27.84/18.36 tff(13429,plain,
% 27.84/18.36 ((~v127(constB103, 1)) | v130(constB103, 1)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13428, 541, 13320])).
% 27.84/18.36 tff(13430,plain,
% 27.84/18.36 (~v127(constB103, 1)),
% 27.84/18.36 inference(unit_resolution,[status(thm)],[13429, 13422])).
% 27.84/18.36 tff(13431,plain,
% 27.84/18.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB103, constB104)) | v127(constB103, 1) | (~v129(constB104, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB103, constB104)) | v127(constB103, 1) | (~v129(constB104, 1)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13432,plain,
% 27.84/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB103, constB104)) | v127(constB103, 1) | (~v129(constB104, 1)))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13433,plain,
% 27.84/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB103, constB104)) | v127(constB103, 1) | (~v129(constB104, 1))),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13432, 13431])).
% 27.84/18.37 tff(13434,plain,
% 27.84/18.37 (v127(constB103, 1) | (~v129(constB104, 1))),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13433, 559, 13335])).
% 27.84/18.37 tff(13435,plain,
% 27.84/18.37 (~v129(constB104, 1)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13434, 13430])).
% 27.84/18.37 tff(13436,plain,
% 27.84/18.37 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB104, 1)) | v129(constB104, 1) | (~v100(constB104)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB104, 1)) | v129(constB104, 1) | (~v100(constB104)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13437,plain,
% 27.84/18.37 (((~v90(constB104, 1)) | (~v100(constB104)) | v129(constB104, 1)) <=> ((~v90(constB104, 1)) | v129(constB104, 1) | (~v100(constB104)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13438,plain,
% 27.84/18.37 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB104, 1)) | (~v100(constB104)) | v129(constB104, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB104, 1)) | v129(constB104, 1) | (~v100(constB104))))),
% 27.84/18.37 inference(monotonicity,[status(thm)],[13437])).
% 27.84/18.37 tff(13439,plain,
% 27.84/18.37 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB104, 1)) | (~v100(constB104)) | v129(constB104, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB104, 1)) | v129(constB104, 1) | (~v100(constB104)))),
% 27.84/18.37 inference(transitivity,[status(thm)],[13438, 13436])).
% 27.84/18.37 tff(13440,plain,
% 27.84/18.37 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB104, 1)) | (~v100(constB104)) | v129(constB104, 1))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13441,plain,
% 27.84/18.37 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB104, 1)) | v129(constB104, 1) | (~v100(constB104))),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13440, 13439])).
% 27.84/18.37 tff(13442,plain,
% 27.84/18.37 ((~v90(constB104, 1)) | (~v100(constB104))),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13441, 574, 13435])).
% 27.84/18.37 tff(13443,plain,
% 27.84/18.37 (~v90(constB104, 1)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13442, 13369])).
% 27.84/18.37 tff(13444,plain,
% 27.84/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB104, 1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB104, 1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 1)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13445,plain,
% 27.84/18.37 (((~nextState(constB104, constB105)) | v90(constB104, 1) | v100(constB105) | (~v90(constB105, 1))) <=> (v90(constB104, 1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 1)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13446,plain,
% 27.84/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB104, constB105)) | v90(constB104, 1) | v100(constB105) | (~v90(constB105, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB104, 1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 1))))),
% 27.84/18.37 inference(monotonicity,[status(thm)],[13445])).
% 27.84/18.37 tff(13447,plain,
% 27.84/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB104, constB105)) | v90(constB104, 1) | v100(constB105) | (~v90(constB105, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB104, 1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 1)))),
% 27.84/18.37 inference(transitivity,[status(thm)],[13446, 13444])).
% 27.84/18.37 tff(13448,plain,
% 27.84/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB104, constB105)) | v90(constB104, 1) | v100(constB105) | (~v90(constB105, 1)))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13449,plain,
% 27.84/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB104, 1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 1))),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13448, 13447])).
% 27.84/18.37 tff(13450,plain,
% 27.84/18.37 (v90(constB104, 1) | v100(constB105) | (~v90(constB105, 1))),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13449, 191, 13397])).
% 27.84/18.37 tff(13451,plain,
% 27.84/18.37 (v90(constB104, 1) | (~v90(constB105, 1))),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13450, 13409])).
% 27.84/18.37 tff(13452,plain,
% 27.84/18.37 (~v90(constB105, 1)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13451, 13443])).
% 27.84/18.37 tff(13453,plain,
% 27.84/18.37 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB103)) | (~v130(constB103, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB103)) | (~v130(constB103, 0)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13454,plain,
% 27.84/18.37 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB103)) | (~v130(constB103, 0)))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13455,plain,
% 27.84/18.37 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB103)) | (~v130(constB103, 0))),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13454, 13453])).
% 27.84/18.37 tff(13456,plain,
% 27.84/18.37 (~v130(constB103, 0)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13455, 1351, 13294])).
% 27.84/18.37 tff(13457,plain,
% 27.84/18.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB103, 0)) | v26(constB103) | v130(constB103, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB103, 0)) | v26(constB103) | v130(constB103, 0))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13458,plain,
% 27.84/18.37 ((v26(constB103) | v130(constB103, 0) | (~v127(constB103, 0))) <=> ((~v127(constB103, 0)) | v26(constB103) | v130(constB103, 0))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13459,plain,
% 27.84/18.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB103) | v130(constB103, 0) | (~v127(constB103, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB103, 0)) | v26(constB103) | v130(constB103, 0)))),
% 27.84/18.37 inference(monotonicity,[status(thm)],[13458])).
% 27.84/18.37 tff(13460,plain,
% 27.84/18.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB103) | v130(constB103, 0) | (~v127(constB103, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB103, 0)) | v26(constB103) | v130(constB103, 0))),
% 27.84/18.37 inference(transitivity,[status(thm)],[13459, 13457])).
% 27.84/18.37 tff(13461,plain,
% 27.84/18.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB103) | v130(constB103, 0) | (~v127(constB103, 0)))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13462,plain,
% 27.84/18.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB103, 0)) | v26(constB103) | v130(constB103, 0)),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13461, 13460])).
% 27.84/18.37 tff(13463,plain,
% 27.84/18.37 ((~v127(constB103, 0)) | v130(constB103, 0)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13462, 933, 13320])).
% 27.84/18.37 tff(13464,plain,
% 27.84/18.37 (~v127(constB103, 0)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13463, 13456])).
% 27.84/18.37 tff(13465,plain,
% 27.84/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB103, constB104)) | v127(constB103, 0) | (~v129(constB104, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB103, constB104)) | v127(constB103, 0) | (~v129(constB104, 0)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13466,plain,
% 27.84/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB103, constB104)) | v127(constB103, 0) | (~v129(constB104, 0)))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13467,plain,
% 27.84/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB103, constB104)) | v127(constB103, 0) | (~v129(constB104, 0))),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13466, 13465])).
% 27.84/18.37 tff(13468,plain,
% 27.84/18.37 (v127(constB103, 0) | (~v129(constB104, 0))),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13467, 951, 13335])).
% 27.84/18.37 tff(13469,plain,
% 27.84/18.37 (~v129(constB104, 0)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13468, 13464])).
% 27.84/18.37 tff(13470,plain,
% 27.84/18.37 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB104, 0)) | v129(constB104, 0) | (~v100(constB104)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB104, 0)) | v129(constB104, 0) | (~v100(constB104)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13471,plain,
% 27.84/18.37 (((~v90(constB104, 0)) | (~v100(constB104)) | v129(constB104, 0)) <=> ((~v90(constB104, 0)) | v129(constB104, 0) | (~v100(constB104)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13472,plain,
% 27.84/18.37 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB104, 0)) | (~v100(constB104)) | v129(constB104, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB104, 0)) | v129(constB104, 0) | (~v100(constB104))))),
% 27.84/18.37 inference(monotonicity,[status(thm)],[13471])).
% 27.84/18.37 tff(13473,plain,
% 27.84/18.37 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB104, 0)) | (~v100(constB104)) | v129(constB104, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB104, 0)) | v129(constB104, 0) | (~v100(constB104)))),
% 27.84/18.37 inference(transitivity,[status(thm)],[13472, 13470])).
% 27.84/18.37 tff(13474,plain,
% 27.84/18.37 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB104, 0)) | (~v100(constB104)) | v129(constB104, 0))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13475,plain,
% 27.84/18.37 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB104, 0)) | v129(constB104, 0) | (~v100(constB104))),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13474, 13473])).
% 27.84/18.37 tff(13476,plain,
% 27.84/18.37 ((~v90(constB104, 0)) | (~v100(constB104))),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13475, 966, 13469])).
% 27.84/18.37 tff(13477,plain,
% 27.84/18.37 (~v90(constB104, 0)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13476, 13369])).
% 27.84/18.37 tff(13478,plain,
% 27.84/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB104, 0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB104, 0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 0)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13479,plain,
% 27.84/18.37 (((~nextState(constB104, constB105)) | v90(constB104, 0) | v100(constB105) | (~v90(constB105, 0))) <=> (v90(constB104, 0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 0)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13480,plain,
% 27.84/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB104, constB105)) | v90(constB104, 0) | v100(constB105) | (~v90(constB105, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB104, 0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 0))))),
% 27.84/18.37 inference(monotonicity,[status(thm)],[13479])).
% 27.84/18.37 tff(13481,plain,
% 27.84/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB104, constB105)) | v90(constB104, 0) | v100(constB105) | (~v90(constB105, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB104, 0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 0)))),
% 27.84/18.37 inference(transitivity,[status(thm)],[13480, 13478])).
% 27.84/18.37 tff(13482,plain,
% 27.84/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB104, constB105)) | v90(constB104, 0) | v100(constB105) | (~v90(constB105, 0)))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13483,plain,
% 27.84/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB104, 0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 0))),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13482, 13481])).
% 27.84/18.37 tff(13484,plain,
% 27.84/18.37 (v90(constB104, 0) | v100(constB105) | (~v90(constB105, 0))),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13483, 212, 13397])).
% 27.84/18.37 tff(13485,plain,
% 27.84/18.37 (v90(constB104, 0) | (~v90(constB105, 0))),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13484, 13409])).
% 27.84/18.37 tff(13486,plain,
% 27.84/18.37 (~v90(constB105, 0)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13485, 13477])).
% 27.84/18.37 tff(13487,plain,
% 27.84/18.37 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB105, 0) | v90(constB105, 1) | (~v90(constB105, 2)) | v123(constB105))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB105, 0) | v90(constB105, 1) | (~v90(constB105, 2)) | v123(constB105))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13488,plain,
% 27.84/18.37 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB105, 0) | v90(constB105, 1) | (~v90(constB105, 2)) | v123(constB105))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13489,plain,
% 27.84/18.37 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB105, 0) | v90(constB105, 1) | (~v90(constB105, 2)) | v123(constB105)),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13488, 13487])).
% 27.84/18.37 tff(13490,plain,
% 27.84/18.37 (v123(constB105)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13489, 1565, 13486, 13452, 13418])).
% 27.84/18.37 tff(13491,plain,
% 27.84/18.37 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB105)) | v115(constB105))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB105)) | v115(constB105))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13492,plain,
% 27.84/18.37 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB105)) | v115(constB105))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13493,plain,
% 27.84/18.37 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB105)) | v115(constB105)),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13492, 13491])).
% 27.84/18.37 tff(13494,plain,
% 27.84/18.37 (v115(constB105)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13493, 1579, 13490])).
% 27.84/18.37 tff(13495,plain,
% 27.84/18.37 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB105) | (~v115(constB105)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB105) | (~v115(constB105)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13496,plain,
% 27.84/18.37 (((~v115(constB105)) | v114(constB105)) <=> (v114(constB105) | (~v115(constB105)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13497,plain,
% 27.84/18.37 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB105)) | v114(constB105))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB105) | (~v115(constB105))))),
% 27.84/18.37 inference(monotonicity,[status(thm)],[13496])).
% 27.84/18.37 tff(13498,plain,
% 27.84/18.37 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB105)) | v114(constB105))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB105) | (~v115(constB105)))),
% 27.84/18.37 inference(transitivity,[status(thm)],[13497, 13495])).
% 27.84/18.37 tff(13499,plain,
% 27.84/18.37 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB105)) | v114(constB105))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13500,plain,
% 27.84/18.37 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB105) | (~v115(constB105))),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13499, 13498])).
% 27.84/18.37 tff(13501,plain,
% 27.84/18.37 (v114(constB105)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13500, 300, 13494])).
% 27.84/18.37 tff(13502,plain,
% 27.84/18.37 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB105) | (~v114(constB105)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB105) | (~v114(constB105)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13503,plain,
% 27.84/18.37 (((~v114(constB105)) | v113(constB105)) <=> (v113(constB105) | (~v114(constB105)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13504,plain,
% 27.84/18.37 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB105)) | v113(constB105))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB105) | (~v114(constB105))))),
% 27.84/18.37 inference(monotonicity,[status(thm)],[13503])).
% 27.84/18.37 tff(13505,plain,
% 27.84/18.37 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB105)) | v113(constB105))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB105) | (~v114(constB105)))),
% 27.84/18.37 inference(transitivity,[status(thm)],[13504, 13502])).
% 27.84/18.37 tff(13506,plain,
% 27.84/18.37 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB105)) | v113(constB105))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13507,plain,
% 27.84/18.37 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB105) | (~v114(constB105))),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13506, 13505])).
% 27.84/18.37 tff(13508,plain,
% 27.84/18.37 (v113(constB105)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13507, 314, 13501])).
% 27.84/18.37 tff(13509,assumption,(~v108(constB105)), introduced(assumption)).
% 27.84/18.37 tff(13510,plain,
% 27.84/18.37 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB105) | (~v112(constB105)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB105) | (~v112(constB105)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13511,plain,
% 27.84/18.37 (((~v112(constB105)) | v108(constB105)) <=> (v108(constB105) | (~v112(constB105)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13512,plain,
% 27.84/18.37 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB105)) | v108(constB105))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB105) | (~v112(constB105))))),
% 27.84/18.37 inference(monotonicity,[status(thm)],[13511])).
% 27.84/18.37 tff(13513,plain,
% 27.84/18.37 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB105)) | v108(constB105))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB105) | (~v112(constB105)))),
% 27.84/18.37 inference(transitivity,[status(thm)],[13512, 13510])).
% 27.84/18.37 tff(13514,plain,
% 27.84/18.37 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB105)) | v108(constB105))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13515,plain,
% 27.84/18.37 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB105) | (~v112(constB105))),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13514, 13513])).
% 27.84/18.37 tff(13516,plain,
% 27.84/18.37 (~v112(constB105)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13515, 340, 13509])).
% 27.84/18.37 tff(13517,plain,
% 27.84/18.37 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB105) | (~v26(constB105)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB105) | (~v26(constB105)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13518,plain,
% 27.84/18.37 (((~v26(constB105)) | v108(constB105)) <=> (v108(constB105) | (~v26(constB105)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13519,plain,
% 27.84/18.37 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB105)) | v108(constB105))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB105) | (~v26(constB105))))),
% 27.84/18.37 inference(monotonicity,[status(thm)],[13518])).
% 27.84/18.37 tff(13520,plain,
% 27.84/18.37 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB105)) | v108(constB105))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB105) | (~v26(constB105)))),
% 27.84/18.37 inference(transitivity,[status(thm)],[13519, 13517])).
% 27.84/18.37 tff(13521,plain,
% 27.84/18.37 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB105)) | v108(constB105))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13522,plain,
% 27.84/18.37 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB105) | (~v26(constB105))),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13521, 13520])).
% 27.84/18.37 tff(13523,plain,
% 27.84/18.37 (~v26(constB105)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13522, 6750, 13509])).
% 27.84/18.37 tff(13524,assumption,(v113(constB105)), introduced(assumption)).
% 27.84/18.37 tff(13525,plain,
% 27.84/18.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | (~v113(constB105)) | v112(constB105))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13526,plain,
% 27.84/18.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13527,plain,
% 27.84/18.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | (~v113(constB105)) | v112(constB105)),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13526, 13525])).
% 27.84/18.37 tff(13528,plain,
% 27.84/18.37 (v26(constB105) | v112(constB105)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13527, 328, 13524])).
% 27.84/18.37 tff(13529,plain,
% 27.84/18.37 ($false),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13528, 13523, 13516])).
% 27.84/18.37 tff(13530,plain,(v108(constB105) | (~v113(constB105))), inference(lemma,lemma(discharge,[]))).
% 27.84/18.37 tff(13531,plain,
% 27.84/18.37 (v108(constB105)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13530, 13508])).
% 27.84/18.37 tff(13532,plain,
% 27.84/18.37 (nextState(constB105, constB106) <=> nextState(constB105, constB106)),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13533,axiom,(nextState(constB105, constB106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_105_1')).
% 27.84/18.37 tff(13534,plain,
% 27.84/18.37 (nextState(constB105, constB106)),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13533, 13532])).
% 27.84/18.37 tff(13535,plain,
% 27.84/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13536,plain,
% 27.84/18.37 (((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106)) <=> ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13537,plain,
% 27.84/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105))))),
% 27.84/18.37 inference(monotonicity,[status(thm)],[13536])).
% 27.84/18.37 tff(13538,plain,
% 27.84/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 27.84/18.37 inference(transitivity,[status(thm)],[13537, 13535])).
% 27.84/18.37 tff(13539,plain,
% 27.84/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13540,plain,
% 27.84/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105))),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13539, 13538])).
% 27.84/18.37 tff(13541,plain,
% 27.84/18.37 (v110(constB106) | (~v108(constB105))),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13540, 360, 13534])).
% 27.84/18.37 tff(13542,plain,
% 27.84/18.37 (v110(constB106)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13541, 13531])).
% 27.84/18.37 tff(13543,plain,
% 27.84/18.37 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13544,plain,
% 27.84/18.37 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13545,plain,
% 27.84/18.37 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106))),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13544, 13543])).
% 27.84/18.37 tff(13546,plain,
% 27.84/18.37 (~v104(constB106)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13545, 378, 13534, 13394])).
% 27.84/18.37 tff(13547,plain,
% 27.84/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13548,plain,
% 27.84/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13549,plain,
% 27.84/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB105, constB106)) | v102(constB106) | v104(constB106)),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13548, 13547])).
% 27.84/18.37 tff(13550,plain,
% 27.84/18.37 (v102(constB106) | v104(constB106)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13549, 392, 13534])).
% 27.84/18.37 tff(13551,plain,
% 27.84/18.37 (v102(constB106)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13550, 13546])).
% 27.84/18.37 tff(13552,plain,
% 27.84/18.37 (v1(constB106) <=> v1(constB106)),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13553,axiom,(v1(constB106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_106_1')).
% 27.84/18.37 tff(13554,plain,
% 27.84/18.37 (v1(constB106)),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13553, 13552])).
% 27.84/18.37 tff(13555,plain,
% 27.84/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13556,plain,
% 27.84/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13557,plain,
% 27.84/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106))),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13556, 13555])).
% 27.84/18.37 tff(13558,plain,
% 27.84/18.37 (v101(constB106) | (~v102(constB106))),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13557, 410, 13534, 13554])).
% 27.84/18.37 tff(13559,plain,
% 27.84/18.37 (v101(constB106)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13558, 13551])).
% 27.84/18.37 tff(13560,plain,
% 27.84/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13561,plain,
% 27.84/18.37 (((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106)) <=> ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13562,plain,
% 27.84/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106))))),
% 27.84/18.37 inference(monotonicity,[status(thm)],[13561])).
% 27.84/18.37 tff(13563,plain,
% 27.84/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 27.84/18.37 inference(transitivity,[status(thm)],[13562, 13560])).
% 27.84/18.37 tff(13564,plain,
% 27.84/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13565,plain,
% 27.84/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106))),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13564, 13563])).
% 27.84/18.37 tff(13566,plain,
% 27.84/18.37 (v100(constB106) | (~v101(constB106)) | (~v110(constB106))),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13565, 425, 13534])).
% 27.84/18.37 tff(13567,plain,
% 27.84/18.37 (v100(constB106) | (~v110(constB106))),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13566, 13559])).
% 27.84/18.37 tff(13568,plain,
% 27.84/18.37 (v100(constB106)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13567, 13542])).
% 27.84/18.37 tff(13569,plain,
% 27.84/18.37 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB105)) | v130(constB105, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB105)) | v130(constB105, 2))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13570,plain,
% 27.84/18.37 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB105)) | v130(constB105, 2))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13571,plain,
% 27.84/18.37 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB105)) | v130(constB105, 2)),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13570, 13569])).
% 27.84/18.37 tff(13572,plain,
% 27.84/18.37 (v130(constB105, 2)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13571, 1656, 13490])).
% 27.84/18.37 tff(13573,assumption,(v26(constB105)), introduced(assumption)).
% 27.84/18.37 tff(13574,plain,
% 27.84/18.37 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB105))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13575,plain,
% 27.84/18.37 ($false),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13574, 95, 13573])).
% 27.84/18.37 tff(13576,plain,(~v26(constB105)), inference(lemma,lemma(discharge,[]))).
% 27.84/18.37 tff(13577,plain,
% 27.84/18.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB105) | (~v130(constB105, 2)) | v127(constB105, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB105) | (~v130(constB105, 2)) | v127(constB105, 2))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13578,plain,
% 27.84/18.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB105) | (~v130(constB105, 2)) | v127(constB105, 2))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13579,plain,
% 27.84/18.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB105) | (~v130(constB105, 2)) | v127(constB105, 2)),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13578, 13577])).
% 27.84/18.37 tff(13580,plain,
% 27.84/18.37 ((~v130(constB105, 2)) | v127(constB105, 2)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13579, 1498, 13576])).
% 27.84/18.37 tff(13581,plain,
% 27.84/18.37 (v127(constB105, 2)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13580, 13572])).
% 27.84/18.37 tff(13582,plain,
% 27.84/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB105, constB106)) | (~v127(constB105, 2)) | v129(constB106, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB105, constB106)) | (~v127(constB105, 2)) | v129(constB106, 2))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13583,plain,
% 27.84/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB105, constB106)) | (~v127(constB105, 2)) | v129(constB106, 2))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13584,plain,
% 27.84/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB105, constB106)) | (~v127(constB105, 2)) | v129(constB106, 2)),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13583, 13582])).
% 27.84/18.37 tff(13585,plain,
% 27.84/18.37 ((~v127(constB105, 2)) | v129(constB106, 2)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13584, 1513, 13534])).
% 27.84/18.37 tff(13586,plain,
% 27.84/18.37 (v129(constB106, 2)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13585, 13581])).
% 27.84/18.37 tff(13587,plain,
% 27.84/18.37 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB106, 2) | (~v129(constB106, 2)) | (~v100(constB106)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB106, 2) | (~v129(constB106, 2)) | (~v100(constB106)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13588,plain,
% 27.84/18.37 ((v90(constB106, 2) | (~v100(constB106)) | (~v129(constB106, 2))) <=> (v90(constB106, 2) | (~v129(constB106, 2)) | (~v100(constB106)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13589,plain,
% 27.84/18.37 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB106, 2) | (~v100(constB106)) | (~v129(constB106, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB106, 2) | (~v129(constB106, 2)) | (~v100(constB106))))),
% 27.84/18.37 inference(monotonicity,[status(thm)],[13588])).
% 27.84/18.37 tff(13590,plain,
% 27.84/18.37 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB106, 2) | (~v100(constB106)) | (~v129(constB106, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB106, 2) | (~v129(constB106, 2)) | (~v100(constB106)))),
% 27.84/18.37 inference(transitivity,[status(thm)],[13589, 13587])).
% 27.84/18.37 tff(13591,plain,
% 27.84/18.37 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB106, 2) | (~v100(constB106)) | (~v129(constB106, 2)))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13592,plain,
% 27.84/18.37 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB106, 2) | (~v129(constB106, 2)) | (~v100(constB106))),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13591, 13590])).
% 27.84/18.37 tff(13593,plain,
% 27.84/18.37 (v90(constB106, 2) | (~v100(constB106))),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13592, 1528, 13586])).
% 27.84/18.37 tff(13594,plain,
% 27.84/18.37 (v90(constB106, 2)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13593, 13568])).
% 27.84/18.37 tff(13595,plain,
% 27.84/18.37 ((~v1(constB107)) <=> (~v1(constB107))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13596,axiom,(~v1(constB107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_107_1_1')).
% 27.84/18.37 tff(13597,plain,
% 27.84/18.37 (~v1(constB107)),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13596, 13595])).
% 27.84/18.37 tff(13598,plain,
% 27.84/18.37 (nextState(constB106, constB107) <=> nextState(constB106, constB107)),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13599,axiom,(nextState(constB106, constB107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_106_1')).
% 27.84/18.37 tff(13600,plain,
% 27.84/18.37 (nextState(constB106, constB107)),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13599, 13598])).
% 27.84/18.37 tff(13601,plain,
% 27.84/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13602,plain,
% 27.84/18.37 (((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107)) <=> (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13603,plain,
% 27.84/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107))))),
% 27.84/18.37 inference(monotonicity,[status(thm)],[13602])).
% 27.84/18.37 tff(13604,plain,
% 27.84/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 27.84/18.37 inference(transitivity,[status(thm)],[13603, 13601])).
% 27.84/18.37 tff(13605,plain,
% 27.84/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13606,plain,
% 27.84/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107))),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13605, 13604])).
% 27.84/18.37 tff(13607,plain,
% 27.84/18.37 (~v101(constB107)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13606, 138, 13600, 13597])).
% 27.84/18.37 tff(13608,plain,
% 27.84/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13609,plain,
% 27.84/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13610,plain,
% 27.84/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107))),
% 27.84/18.37 inference(modus_ponens,[status(thm)],[13609, 13608])).
% 27.84/18.37 tff(13611,plain,
% 27.84/18.37 (v101(constB107) | (~v100(constB107))),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13610, 155, 13600])).
% 27.84/18.37 tff(13612,plain,
% 27.84/18.37 (~v100(constB107)),
% 27.84/18.37 inference(unit_resolution,[status(thm)],[13611, 13607])).
% 27.84/18.37 tff(13613,plain,
% 27.84/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB106, 2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB106, 2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 2))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13614,plain,
% 27.84/18.37 (((~nextState(constB106, constB107)) | (~v90(constB106, 2)) | v100(constB107) | v90(constB107, 2)) <=> ((~v90(constB106, 2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 2))),
% 27.84/18.37 inference(rewrite,[status(thm)],[])).
% 27.84/18.37 tff(13615,plain,
% 27.84/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB106, constB107)) | (~v90(constB106, 2)) | v100(constB107) | v90(constB107, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB106, 2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 2)))),
% 27.84/18.37 inference(monotonicity,[status(thm)],[13614])).
% 27.84/18.37 tff(13616,plain,
% 27.84/18.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB106, constB107)) | (~v90(constB106, 2)) | v100(constB107) | v90(constB107, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB106, 2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 2))),
% 27.84/18.37 inference(transitivity,[status(thm)],[13615, 13613])).
% 27.84/18.37 tff(13617,plain,
% 27.84/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB106, constB107)) | (~v90(constB106, 2)) | v100(constB107) | v90(constB107, 2))),
% 27.84/18.37 inference(quant_inst,[status(thm)],[])).
% 27.84/18.37 tff(13618,plain,
% 27.84/18.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB106, 2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 2)),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13617, 13616])).
% 27.84/18.38 tff(13619,plain,
% 27.84/18.38 ((~v90(constB106, 2)) | v100(constB107) | v90(constB107, 2)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13618, 1546, 13600])).
% 27.84/18.38 tff(13620,plain,
% 27.84/18.38 ((~v90(constB106, 2)) | v90(constB107, 2)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13619, 13612])).
% 27.84/18.38 tff(13621,plain,
% 27.84/18.38 (v90(constB107, 2)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13620, 13594])).
% 27.84/18.38 tff(13622,plain,
% 27.84/18.38 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB105)) | (~v130(constB105, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB105)) | (~v130(constB105, 1)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13623,plain,
% 27.84/18.38 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB105)) | (~v130(constB105, 1)))),
% 27.84/18.38 inference(quant_inst,[status(thm)],[])).
% 27.84/18.38 tff(13624,plain,
% 27.84/18.38 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB105)) | (~v130(constB105, 1))),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13623, 13622])).
% 27.84/18.38 tff(13625,plain,
% 27.84/18.38 (~v130(constB105, 1)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13624, 1712, 13490])).
% 27.84/18.38 tff(13626,plain,
% 27.84/18.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB105, 1)) | v26(constB105) | v130(constB105, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB105, 1)) | v26(constB105) | v130(constB105, 1))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13627,plain,
% 27.84/18.38 ((v26(constB105) | v130(constB105, 1) | (~v127(constB105, 1))) <=> ((~v127(constB105, 1)) | v26(constB105) | v130(constB105, 1))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13628,plain,
% 27.84/18.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB105) | v130(constB105, 1) | (~v127(constB105, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB105, 1)) | v26(constB105) | v130(constB105, 1)))),
% 27.84/18.38 inference(monotonicity,[status(thm)],[13627])).
% 27.84/18.38 tff(13629,plain,
% 27.84/18.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB105) | v130(constB105, 1) | (~v127(constB105, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB105, 1)) | v26(constB105) | v130(constB105, 1))),
% 27.84/18.38 inference(transitivity,[status(thm)],[13628, 13626])).
% 27.84/18.38 tff(13630,plain,
% 27.84/18.38 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB105) | v130(constB105, 1) | (~v127(constB105, 1)))),
% 27.84/18.38 inference(quant_inst,[status(thm)],[])).
% 27.84/18.38 tff(13631,plain,
% 27.84/18.38 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB105, 1)) | v26(constB105) | v130(constB105, 1)),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13630, 13629])).
% 27.84/18.38 tff(13632,plain,
% 27.84/18.38 ((~v127(constB105, 1)) | v130(constB105, 1)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13631, 541, 13576])).
% 27.84/18.38 tff(13633,plain,
% 27.84/18.38 (~v127(constB105, 1)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13632, 13625])).
% 27.84/18.38 tff(13634,plain,
% 27.84/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB105, constB106)) | v127(constB105, 1) | (~v129(constB106, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB105, constB106)) | v127(constB105, 1) | (~v129(constB106, 1)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13635,plain,
% 27.84/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB105, constB106)) | v127(constB105, 1) | (~v129(constB106, 1)))),
% 27.84/18.38 inference(quant_inst,[status(thm)],[])).
% 27.84/18.38 tff(13636,plain,
% 27.84/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB105, constB106)) | v127(constB105, 1) | (~v129(constB106, 1))),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13635, 13634])).
% 27.84/18.38 tff(13637,plain,
% 27.84/18.38 (v127(constB105, 1) | (~v129(constB106, 1))),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13636, 559, 13534])).
% 27.84/18.38 tff(13638,plain,
% 27.84/18.38 (~v129(constB106, 1)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13637, 13633])).
% 27.84/18.38 tff(13639,plain,
% 27.84/18.38 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB106, 1)) | v129(constB106, 1) | (~v100(constB106)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB106, 1)) | v129(constB106, 1) | (~v100(constB106)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13640,plain,
% 27.84/18.38 (((~v90(constB106, 1)) | (~v100(constB106)) | v129(constB106, 1)) <=> ((~v90(constB106, 1)) | v129(constB106, 1) | (~v100(constB106)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13641,plain,
% 27.84/18.38 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB106, 1)) | (~v100(constB106)) | v129(constB106, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB106, 1)) | v129(constB106, 1) | (~v100(constB106))))),
% 27.84/18.38 inference(monotonicity,[status(thm)],[13640])).
% 27.84/18.38 tff(13642,plain,
% 27.84/18.38 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB106, 1)) | (~v100(constB106)) | v129(constB106, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB106, 1)) | v129(constB106, 1) | (~v100(constB106)))),
% 27.84/18.38 inference(transitivity,[status(thm)],[13641, 13639])).
% 27.84/18.38 tff(13643,plain,
% 27.84/18.38 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB106, 1)) | (~v100(constB106)) | v129(constB106, 1))),
% 27.84/18.38 inference(quant_inst,[status(thm)],[])).
% 27.84/18.38 tff(13644,plain,
% 27.84/18.38 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB106, 1)) | v129(constB106, 1) | (~v100(constB106))),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13643, 13642])).
% 27.84/18.38 tff(13645,plain,
% 27.84/18.38 ((~v90(constB106, 1)) | (~v100(constB106))),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13644, 574, 13638])).
% 27.84/18.38 tff(13646,plain,
% 27.84/18.38 (~v90(constB106, 1)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13645, 13568])).
% 27.84/18.38 tff(13647,plain,
% 27.84/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB106, 1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB106, 1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, 1)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13648,plain,
% 27.84/18.38 (((~nextState(constB106, constB107)) | v90(constB106, 1) | v100(constB107) | (~v90(constB107, 1))) <=> (v90(constB106, 1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, 1)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13649,plain,
% 27.84/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB106, constB107)) | v90(constB106, 1) | v100(constB107) | (~v90(constB107, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB106, 1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, 1))))),
% 27.84/18.38 inference(monotonicity,[status(thm)],[13648])).
% 27.84/18.38 tff(13650,plain,
% 27.84/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB106, constB107)) | v90(constB106, 1) | v100(constB107) | (~v90(constB107, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB106, 1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, 1)))),
% 27.84/18.38 inference(transitivity,[status(thm)],[13649, 13647])).
% 27.84/18.38 tff(13651,plain,
% 27.84/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB106, constB107)) | v90(constB106, 1) | v100(constB107) | (~v90(constB107, 1)))),
% 27.84/18.38 inference(quant_inst,[status(thm)],[])).
% 27.84/18.38 tff(13652,plain,
% 27.84/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB106, 1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, 1))),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13651, 13650])).
% 27.84/18.38 tff(13653,plain,
% 27.84/18.38 (v90(constB106, 1) | v100(constB107) | (~v90(constB107, 1))),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13652, 191, 13600])).
% 27.84/18.38 tff(13654,plain,
% 27.84/18.38 (v90(constB106, 1) | (~v90(constB107, 1))),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13653, 13612])).
% 27.84/18.38 tff(13655,plain,
% 27.84/18.38 (~v90(constB107, 1)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13654, 13646])).
% 27.84/18.38 tff(13656,plain,
% 27.84/18.38 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB105)) | v130(constB105, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB105)) | v130(constB105, 0))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13657,plain,
% 27.84/18.38 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB105)) | v130(constB105, 0))),
% 27.84/18.38 inference(quant_inst,[status(thm)],[])).
% 27.84/18.38 tff(13658,plain,
% 27.84/18.38 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB105)) | v130(constB105, 0)),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13657, 13656])).
% 27.84/18.38 tff(13659,plain,
% 27.84/18.38 (v130(constB105, 0)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13658, 1753, 13490])).
% 27.84/18.38 tff(13660,plain,
% 27.84/18.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB105) | (~v130(constB105, 0)) | v127(constB105, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB105) | (~v130(constB105, 0)) | v127(constB105, 0))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13661,plain,
% 27.84/18.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB105) | (~v130(constB105, 0)) | v127(constB105, 0))),
% 27.84/18.38 inference(quant_inst,[status(thm)],[])).
% 27.84/18.38 tff(13662,plain,
% 27.84/18.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB105) | (~v130(constB105, 0)) | v127(constB105, 0)),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13661, 13660])).
% 27.84/18.38 tff(13663,plain,
% 27.84/18.38 ((~v130(constB105, 0)) | v127(constB105, 0)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13662, 612, 13576])).
% 27.84/18.38 tff(13664,plain,
% 27.84/18.38 (v127(constB105, 0)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13663, 13659])).
% 27.84/18.38 tff(13665,plain,
% 27.84/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB105, constB106)) | (~v127(constB105, 0)) | v129(constB106, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB105, constB106)) | (~v127(constB105, 0)) | v129(constB106, 0))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13666,plain,
% 27.84/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB105, constB106)) | (~v127(constB105, 0)) | v129(constB106, 0))),
% 27.84/18.38 inference(quant_inst,[status(thm)],[])).
% 27.84/18.38 tff(13667,plain,
% 27.84/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB105, constB106)) | (~v127(constB105, 0)) | v129(constB106, 0)),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13666, 13665])).
% 27.84/18.38 tff(13668,plain,
% 27.84/18.38 ((~v127(constB105, 0)) | v129(constB106, 0)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13667, 627, 13534])).
% 27.84/18.38 tff(13669,plain,
% 27.84/18.38 (v129(constB106, 0)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13668, 13664])).
% 27.84/18.38 tff(13670,plain,
% 27.84/18.38 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB106, 0) | (~v129(constB106, 0)) | (~v100(constB106)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB106, 0) | (~v129(constB106, 0)) | (~v100(constB106)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13671,plain,
% 27.84/18.38 ((v90(constB106, 0) | (~v100(constB106)) | (~v129(constB106, 0))) <=> (v90(constB106, 0) | (~v129(constB106, 0)) | (~v100(constB106)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13672,plain,
% 27.84/18.38 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB106, 0) | (~v100(constB106)) | (~v129(constB106, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB106, 0) | (~v129(constB106, 0)) | (~v100(constB106))))),
% 27.84/18.38 inference(monotonicity,[status(thm)],[13671])).
% 27.84/18.38 tff(13673,plain,
% 27.84/18.38 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB106, 0) | (~v100(constB106)) | (~v129(constB106, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB106, 0) | (~v129(constB106, 0)) | (~v100(constB106)))),
% 27.84/18.38 inference(transitivity,[status(thm)],[13672, 13670])).
% 27.84/18.38 tff(13674,plain,
% 27.84/18.38 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB106, 0) | (~v100(constB106)) | (~v129(constB106, 0)))),
% 27.84/18.38 inference(quant_inst,[status(thm)],[])).
% 27.84/18.38 tff(13675,plain,
% 27.84/18.38 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB106, 0) | (~v129(constB106, 0)) | (~v100(constB106))),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13674, 13673])).
% 27.84/18.38 tff(13676,plain,
% 27.84/18.38 (v90(constB106, 0) | (~v100(constB106))),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13675, 642, 13669])).
% 27.84/18.38 tff(13677,plain,
% 27.84/18.38 (v90(constB106, 0)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13676, 13568])).
% 27.84/18.38 tff(13678,plain,
% 27.84/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB106, 0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB106, 0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 0))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13679,plain,
% 27.84/18.38 (((~nextState(constB106, constB107)) | (~v90(constB106, 0)) | v100(constB107) | v90(constB107, 0)) <=> ((~v90(constB106, 0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 0))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13680,plain,
% 27.84/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, 0)) | v100(constB107) | v90(constB107, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB106, 0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 0)))),
% 27.84/18.38 inference(monotonicity,[status(thm)],[13679])).
% 27.84/18.38 tff(13681,plain,
% 27.84/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, 0)) | v100(constB107) | v90(constB107, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB106, 0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 0))),
% 27.84/18.38 inference(transitivity,[status(thm)],[13680, 13678])).
% 27.84/18.38 tff(13682,plain,
% 27.84/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, 0)) | v100(constB107) | v90(constB107, 0))),
% 27.84/18.38 inference(quant_inst,[status(thm)],[])).
% 27.84/18.38 tff(13683,plain,
% 27.84/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB106, 0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 0)),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13682, 13681])).
% 27.84/18.38 tff(13684,plain,
% 27.84/18.38 ((~v90(constB106, 0)) | v100(constB107) | v90(constB107, 0)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13683, 660, 13600])).
% 27.84/18.38 tff(13685,plain,
% 27.84/18.38 ((~v90(constB106, 0)) | v90(constB107, 0)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13684, 13612])).
% 27.84/18.38 tff(13686,plain,
% 27.84/18.38 (v90(constB107, 0)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13685, 13677])).
% 27.84/18.38 tff(13687,plain,
% 27.84/18.38 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB107, 0)) | v90(constB107, 1) | (~v90(constB107, 2)) | v124(constB107))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB107, 0)) | v90(constB107, 1) | (~v90(constB107, 2)) | v124(constB107))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13688,plain,
% 27.84/18.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB107, 0)) | v90(constB107, 1) | (~v90(constB107, 2)) | v124(constB107))),
% 27.84/18.38 inference(quant_inst,[status(thm)],[])).
% 27.84/18.38 tff(13689,plain,
% 27.84/18.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB107, 0)) | v90(constB107, 1) | (~v90(constB107, 2)) | v124(constB107)),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13688, 13687])).
% 27.84/18.38 tff(13690,plain,
% 27.84/18.38 (v124(constB107)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13689, 1794, 13686, 13655, 13621])).
% 27.84/18.38 tff(13691,plain,
% 27.84/18.38 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB107) | (~v124(constB107)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB107) | (~v124(constB107)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13692,plain,
% 27.84/18.38 (((~v124(constB107)) | v114(constB107)) <=> (v114(constB107) | (~v124(constB107)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13693,plain,
% 27.84/18.38 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB107)) | v114(constB107))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB107) | (~v124(constB107))))),
% 27.84/18.38 inference(monotonicity,[status(thm)],[13692])).
% 27.84/18.38 tff(13694,plain,
% 27.84/18.38 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB107)) | v114(constB107))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB107) | (~v124(constB107)))),
% 27.84/18.38 inference(transitivity,[status(thm)],[13693, 13691])).
% 27.84/18.38 tff(13695,plain,
% 27.84/18.38 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB107)) | v114(constB107))),
% 27.84/18.38 inference(quant_inst,[status(thm)],[])).
% 27.84/18.38 tff(13696,plain,
% 27.84/18.38 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB107) | (~v124(constB107))),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13695, 13694])).
% 27.84/18.38 tff(13697,plain,
% 27.84/18.38 (v114(constB107)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13696, 1805, 13690])).
% 27.84/18.38 tff(13698,plain,
% 27.84/18.38 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB107) | (~v114(constB107)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB107) | (~v114(constB107)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13699,plain,
% 27.84/18.38 (((~v114(constB107)) | v113(constB107)) <=> (v113(constB107) | (~v114(constB107)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13700,plain,
% 27.84/18.38 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB107)) | v113(constB107))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB107) | (~v114(constB107))))),
% 27.84/18.38 inference(monotonicity,[status(thm)],[13699])).
% 27.84/18.38 tff(13701,plain,
% 27.84/18.38 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB107)) | v113(constB107))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB107) | (~v114(constB107)))),
% 27.84/18.38 inference(transitivity,[status(thm)],[13700, 13698])).
% 27.84/18.38 tff(13702,plain,
% 27.84/18.38 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB107)) | v113(constB107))),
% 27.84/18.38 inference(quant_inst,[status(thm)],[])).
% 27.84/18.38 tff(13703,plain,
% 27.84/18.38 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB107) | (~v114(constB107))),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13702, 13701])).
% 27.84/18.38 tff(13704,plain,
% 27.84/18.38 (v113(constB107)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13703, 314, 13697])).
% 27.84/18.38 tff(13705,assumption,(~v108(constB107)), introduced(assumption)).
% 27.84/18.38 tff(13706,plain,
% 27.84/18.38 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB107) | (~v112(constB107)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v112(constB107)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13707,plain,
% 27.84/18.38 (((~v112(constB107)) | v108(constB107)) <=> (v108(constB107) | (~v112(constB107)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13708,plain,
% 27.84/18.38 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB107)) | v108(constB107))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB107) | (~v112(constB107))))),
% 27.84/18.38 inference(monotonicity,[status(thm)],[13707])).
% 27.84/18.38 tff(13709,plain,
% 27.84/18.38 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB107)) | v108(constB107))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v112(constB107)))),
% 27.84/18.38 inference(transitivity,[status(thm)],[13708, 13706])).
% 27.84/18.38 tff(13710,plain,
% 27.84/18.38 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB107)) | v108(constB107))),
% 27.84/18.38 inference(quant_inst,[status(thm)],[])).
% 27.84/18.38 tff(13711,plain,
% 27.84/18.38 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v112(constB107))),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13710, 13709])).
% 27.84/18.38 tff(13712,plain,
% 27.84/18.38 (~v112(constB107)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13711, 340, 13705])).
% 27.84/18.38 tff(13713,plain,
% 27.84/18.38 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB107) | (~v26(constB107)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v26(constB107)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13714,plain,
% 27.84/18.38 (((~v26(constB107)) | v108(constB107)) <=> (v108(constB107) | (~v26(constB107)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13715,plain,
% 27.84/18.38 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB107)) | v108(constB107))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB107) | (~v26(constB107))))),
% 27.84/18.38 inference(monotonicity,[status(thm)],[13714])).
% 27.84/18.38 tff(13716,plain,
% 27.84/18.38 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB107)) | v108(constB107))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v26(constB107)))),
% 27.84/18.38 inference(transitivity,[status(thm)],[13715, 13713])).
% 27.84/18.38 tff(13717,plain,
% 27.84/18.38 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB107)) | v108(constB107))),
% 27.84/18.38 inference(quant_inst,[status(thm)],[])).
% 27.84/18.38 tff(13718,plain,
% 27.84/18.38 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v26(constB107))),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13717, 13716])).
% 27.84/18.38 tff(13719,plain,
% 27.84/18.38 (~v26(constB107)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13718, 6750, 13705])).
% 27.84/18.38 tff(13720,assumption,(v113(constB107)), introduced(assumption)).
% 27.84/18.38 tff(13721,plain,
% 27.84/18.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | v112(constB107) | (~v113(constB107)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | v112(constB107) | (~v113(constB107)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13722,plain,
% 27.84/18.38 ((v26(constB107) | (~v113(constB107)) | v112(constB107)) <=> (v26(constB107) | v112(constB107) | (~v113(constB107)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13723,plain,
% 27.84/18.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | (~v113(constB107)) | v112(constB107))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | v112(constB107) | (~v113(constB107))))),
% 27.84/18.38 inference(monotonicity,[status(thm)],[13722])).
% 27.84/18.38 tff(13724,plain,
% 27.84/18.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | (~v113(constB107)) | v112(constB107))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | v112(constB107) | (~v113(constB107)))),
% 27.84/18.38 inference(transitivity,[status(thm)],[13723, 13721])).
% 27.84/18.38 tff(13725,plain,
% 27.84/18.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | (~v113(constB107)) | v112(constB107))),
% 27.84/18.38 inference(quant_inst,[status(thm)],[])).
% 27.84/18.38 tff(13726,plain,
% 27.84/18.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | v112(constB107) | (~v113(constB107))),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13725, 13724])).
% 27.84/18.38 tff(13727,plain,
% 27.84/18.38 (v26(constB107) | v112(constB107)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13726, 328, 13720])).
% 27.84/18.38 tff(13728,plain,
% 27.84/18.38 ($false),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13727, 13719, 13712])).
% 27.84/18.38 tff(13729,plain,(v108(constB107) | (~v113(constB107))), inference(lemma,lemma(discharge,[]))).
% 27.84/18.38 tff(13730,plain,
% 27.84/18.38 (v108(constB107)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13729, 13704])).
% 27.84/18.38 tff(13731,plain,
% 27.84/18.38 (nextState(constB107, constB108) <=> nextState(constB107, constB108)),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13732,axiom,(nextState(constB107, constB108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_107_1')).
% 27.84/18.38 tff(13733,plain,
% 27.84/18.38 (nextState(constB107, constB108)),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13732, 13731])).
% 27.84/18.38 tff(13734,plain,
% 27.84/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13735,plain,
% 27.84/18.38 (((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108)) <=> ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13736,plain,
% 27.84/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107))))),
% 27.84/18.38 inference(monotonicity,[status(thm)],[13735])).
% 27.84/18.38 tff(13737,plain,
% 27.84/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 27.84/18.38 inference(transitivity,[status(thm)],[13736, 13734])).
% 27.84/18.38 tff(13738,plain,
% 27.84/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))),
% 27.84/18.38 inference(quant_inst,[status(thm)],[])).
% 27.84/18.38 tff(13739,plain,
% 27.84/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107))),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13738, 13737])).
% 27.84/18.38 tff(13740,plain,
% 27.84/18.38 (v110(constB108) | (~v108(constB107))),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13739, 360, 13733])).
% 27.84/18.38 tff(13741,plain,
% 27.84/18.38 (v110(constB108)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13740, 13730])).
% 27.84/18.38 tff(13742,plain,
% 27.84/18.38 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13743,plain,
% 27.84/18.38 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))),
% 27.84/18.38 inference(quant_inst,[status(thm)],[])).
% 27.84/18.38 tff(13744,plain,
% 27.84/18.38 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108))),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13743, 13742])).
% 27.84/18.38 tff(13745,plain,
% 27.84/18.38 (~v104(constB108)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13744, 378, 13733, 13597])).
% 27.84/18.38 tff(13746,plain,
% 27.84/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13747,plain,
% 27.84/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))),
% 27.84/18.38 inference(quant_inst,[status(thm)],[])).
% 27.84/18.38 tff(13748,plain,
% 27.84/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB107, constB108)) | v102(constB108) | v104(constB108)),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13747, 13746])).
% 27.84/18.38 tff(13749,plain,
% 27.84/18.38 (v102(constB108) | v104(constB108)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13748, 392, 13733])).
% 27.84/18.38 tff(13750,plain,
% 27.84/18.38 (v102(constB108)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13749, 13745])).
% 27.84/18.38 tff(13751,plain,
% 27.84/18.38 (v1(constB108) <=> v1(constB108)),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13752,axiom,(v1(constB108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_108_1')).
% 27.84/18.38 tff(13753,plain,
% 27.84/18.38 (v1(constB108)),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13752, 13751])).
% 27.84/18.38 tff(13754,plain,
% 27.84/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13755,plain,
% 27.84/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))),
% 27.84/18.38 inference(quant_inst,[status(thm)],[])).
% 27.84/18.38 tff(13756,plain,
% 27.84/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108))),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13755, 13754])).
% 27.84/18.38 tff(13757,plain,
% 27.84/18.38 (v101(constB108) | (~v102(constB108))),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13756, 410, 13733, 13753])).
% 27.84/18.38 tff(13758,plain,
% 27.84/18.38 (v101(constB108)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13757, 13750])).
% 27.84/18.38 tff(13759,plain,
% 27.84/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13760,plain,
% 27.84/18.38 (((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108)) <=> ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13761,plain,
% 27.84/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108))))),
% 27.84/18.38 inference(monotonicity,[status(thm)],[13760])).
% 27.84/18.38 tff(13762,plain,
% 27.84/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 27.84/18.38 inference(transitivity,[status(thm)],[13761, 13759])).
% 27.84/18.38 tff(13763,plain,
% 27.84/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))),
% 27.84/18.38 inference(quant_inst,[status(thm)],[])).
% 27.84/18.38 tff(13764,plain,
% 27.84/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108))),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13763, 13762])).
% 27.84/18.38 tff(13765,plain,
% 27.84/18.38 (v100(constB108) | (~v101(constB108)) | (~v110(constB108))),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13764, 425, 13733])).
% 27.84/18.38 tff(13766,plain,
% 27.84/18.38 (v100(constB108) | (~v110(constB108))),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13765, 13758])).
% 27.84/18.38 tff(13767,plain,
% 27.84/18.38 (v100(constB108)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13766, 13741])).
% 27.84/18.38 tff(13768,plain,
% 27.84/18.38 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB107)) | v130(constB107, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB107)) | v130(constB107, 1))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13769,plain,
% 27.84/18.38 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB107)) | v130(constB107, 1))),
% 27.84/18.38 inference(quant_inst,[status(thm)],[])).
% 27.84/18.38 tff(13770,plain,
% 27.84/18.38 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB107)) | v130(constB107, 1)),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13769, 13768])).
% 27.84/18.38 tff(13771,plain,
% 27.84/18.38 (v130(constB107, 1)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13770, 1929, 13690])).
% 27.84/18.38 tff(13772,assumption,(v26(constB107)), introduced(assumption)).
% 27.84/18.38 tff(13773,plain,
% 27.84/18.38 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB107))),
% 27.84/18.38 inference(quant_inst,[status(thm)],[])).
% 27.84/18.38 tff(13774,plain,
% 27.84/18.38 ($false),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13773, 95, 13772])).
% 27.84/18.38 tff(13775,plain,(~v26(constB107)), inference(lemma,lemma(discharge,[]))).
% 27.84/18.38 tff(13776,plain,
% 27.84/18.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB107) | (~v130(constB107, 1)) | v127(constB107, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB107) | (~v130(constB107, 1)) | v127(constB107, 1))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13777,plain,
% 27.84/18.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB107) | (~v130(constB107, 1)) | v127(constB107, 1))),
% 27.84/18.38 inference(quant_inst,[status(thm)],[])).
% 27.84/18.38 tff(13778,plain,
% 27.84/18.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB107) | (~v130(constB107, 1)) | v127(constB107, 1)),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13777, 13776])).
% 27.84/18.38 tff(13779,plain,
% 27.84/18.38 ((~v130(constB107, 1)) | v127(constB107, 1)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13778, 855, 13775])).
% 27.84/18.38 tff(13780,plain,
% 27.84/18.38 (v127(constB107, 1)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13779, 13771])).
% 27.84/18.38 tff(13781,plain,
% 27.84/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB107, constB108)) | (~v127(constB107, 1)) | v129(constB108, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB107, constB108)) | (~v127(constB107, 1)) | v129(constB108, 1))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13782,plain,
% 27.84/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB107, constB108)) | (~v127(constB107, 1)) | v129(constB108, 1))),
% 27.84/18.38 inference(quant_inst,[status(thm)],[])).
% 27.84/18.38 tff(13783,plain,
% 27.84/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB107, constB108)) | (~v127(constB107, 1)) | v129(constB108, 1)),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13782, 13781])).
% 27.84/18.38 tff(13784,plain,
% 27.84/18.38 ((~v127(constB107, 1)) | v129(constB108, 1)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13783, 870, 13733])).
% 27.84/18.38 tff(13785,plain,
% 27.84/18.38 (v129(constB108, 1)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13784, 13780])).
% 27.84/18.38 tff(13786,plain,
% 27.84/18.38 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB108, 1) | (~v129(constB108, 1)) | (~v100(constB108)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB108, 1) | (~v129(constB108, 1)) | (~v100(constB108)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13787,plain,
% 27.84/18.38 ((v90(constB108, 1) | (~v100(constB108)) | (~v129(constB108, 1))) <=> (v90(constB108, 1) | (~v129(constB108, 1)) | (~v100(constB108)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13788,plain,
% 27.84/18.38 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB108, 1) | (~v100(constB108)) | (~v129(constB108, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB108, 1) | (~v129(constB108, 1)) | (~v100(constB108))))),
% 27.84/18.38 inference(monotonicity,[status(thm)],[13787])).
% 27.84/18.38 tff(13789,plain,
% 27.84/18.38 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB108, 1) | (~v100(constB108)) | (~v129(constB108, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB108, 1) | (~v129(constB108, 1)) | (~v100(constB108)))),
% 27.84/18.38 inference(transitivity,[status(thm)],[13788, 13786])).
% 27.84/18.38 tff(13790,plain,
% 27.84/18.38 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB108, 1) | (~v100(constB108)) | (~v129(constB108, 1)))),
% 27.84/18.38 inference(quant_inst,[status(thm)],[])).
% 27.84/18.38 tff(13791,plain,
% 27.84/18.38 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB108, 1) | (~v129(constB108, 1)) | (~v100(constB108))),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13790, 13789])).
% 27.84/18.38 tff(13792,plain,
% 27.84/18.38 (v90(constB108, 1) | (~v100(constB108))),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13791, 885, 13785])).
% 27.84/18.38 tff(13793,plain,
% 27.84/18.38 (v90(constB108, 1)),
% 27.84/18.38 inference(unit_resolution,[status(thm)],[13792, 13767])).
% 27.84/18.38 tff(13794,plain,
% 27.84/18.38 ((~v1(constB109)) <=> (~v1(constB109))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13795,axiom,(~v1(constB109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_109_1_1')).
% 27.84/18.38 tff(13796,plain,
% 27.84/18.38 (~v1(constB109)),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13795, 13794])).
% 27.84/18.38 tff(13797,plain,
% 27.84/18.38 (nextState(constB108, constB109) <=> nextState(constB108, constB109)),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13798,axiom,(nextState(constB108, constB109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_108_1')).
% 27.84/18.38 tff(13799,plain,
% 27.84/18.38 (nextState(constB108, constB109)),
% 27.84/18.38 inference(modus_ponens,[status(thm)],[13798, 13797])).
% 27.84/18.38 tff(13800,plain,
% 27.84/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13801,plain,
% 27.84/18.38 (((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109)) <=> (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 27.84/18.38 inference(rewrite,[status(thm)],[])).
% 27.84/18.38 tff(13802,plain,
% 27.84/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109))))),
% 27.84/18.38 inference(monotonicity,[status(thm)],[13801])).
% 27.84/18.38 tff(13803,plain,
% 27.84/18.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 27.84/18.38 inference(transitivity,[status(thm)],[13802, 13800])).
% 27.84/18.38 tff(13804,plain,
% 27.84/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))),
% 27.84/18.38 inference(quant_inst,[status(thm)],[])).
% 27.84/18.38 tff(13805,plain,
% 27.84/18.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109))),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13804, 13803])).
% 27.84/18.39 tff(13806,plain,
% 27.84/18.39 (~v101(constB109)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13805, 138, 13799, 13796])).
% 27.84/18.39 tff(13807,plain,
% 27.84/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13808,plain,
% 27.84/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13809,plain,
% 27.84/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109))),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13808, 13807])).
% 27.84/18.39 tff(13810,plain,
% 27.84/18.39 (v101(constB109) | (~v100(constB109))),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13809, 155, 13799])).
% 27.84/18.39 tff(13811,plain,
% 27.84/18.39 (~v100(constB109)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13810, 13806])).
% 27.84/18.39 tff(13812,plain,
% 27.84/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB108, 1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB108, 1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 1))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13813,plain,
% 27.84/18.39 (((~nextState(constB108, constB109)) | (~v90(constB108, 1)) | v100(constB109) | v90(constB109, 1)) <=> ((~v90(constB108, 1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 1))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13814,plain,
% 27.84/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, 1)) | v100(constB109) | v90(constB109, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB108, 1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 1)))),
% 27.84/18.39 inference(monotonicity,[status(thm)],[13813])).
% 27.84/18.39 tff(13815,plain,
% 27.84/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, 1)) | v100(constB109) | v90(constB109, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB108, 1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 1))),
% 27.84/18.39 inference(transitivity,[status(thm)],[13814, 13812])).
% 27.84/18.39 tff(13816,plain,
% 27.84/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, 1)) | v100(constB109) | v90(constB109, 1))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13817,plain,
% 27.84/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB108, 1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 1)),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13816, 13815])).
% 27.84/18.39 tff(13818,plain,
% 27.84/18.39 ((~v90(constB108, 1)) | v100(constB109) | v90(constB109, 1)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13817, 903, 13799])).
% 27.84/18.39 tff(13819,plain,
% 27.84/18.39 ((~v90(constB108, 1)) | v90(constB109, 1)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13818, 13811])).
% 27.84/18.39 tff(13820,plain,
% 27.84/18.39 (v90(constB109, 1)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13819, 13793])).
% 27.84/18.39 tff(13821,plain,
% 27.84/18.39 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB109)) | (~v90(constB109, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB109)) | (~v90(constB109, 1)))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13822,plain,
% 27.84/18.39 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB109)) | (~v90(constB109, 1)))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13823,plain,
% 27.84/18.39 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB109)) | (~v90(constB109, 1))),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13822, 13821])).
% 27.84/18.39 tff(13824,plain,
% 27.84/18.39 (~v119(constB109)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13823, 2086, 13820])).
% 27.84/18.39 tff(13825,plain,
% 27.84/18.39 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB109)) | (~v90(constB109, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB109)) | (~v90(constB109, 1)))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13826,plain,
% 27.84/18.39 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB109)) | (~v90(constB109, 1)))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13827,plain,
% 27.84/18.39 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB109)) | (~v90(constB109, 1))),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13826, 13825])).
% 27.84/18.39 tff(13828,plain,
% 27.84/18.39 (~v123(constB109)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13827, 2108, 13820])).
% 27.84/18.39 tff(13829,plain,
% 27.84/18.39 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB109)) | (~v90(constB109, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB109)) | (~v90(constB109, 1)))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13830,plain,
% 27.84/18.39 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB109)) | (~v90(constB109, 1)))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13831,plain,
% 27.84/18.39 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB109)) | (~v90(constB109, 1))),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13830, 13829])).
% 27.84/18.39 tff(13832,plain,
% 27.84/18.39 (~v124(constB109)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13831, 2097, 13820])).
% 27.84/18.39 tff(13833,plain,
% 27.84/18.39 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB109)) | (~v90(constB109, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB109)) | (~v90(constB109, 1)))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13834,plain,
% 27.84/18.39 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB109)) | (~v90(constB109, 1)))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13835,plain,
% 27.84/18.39 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB109)) | (~v90(constB109, 1))),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13834, 13833])).
% 27.84/18.39 tff(13836,plain,
% 27.84/18.39 (~v120(constB109)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13835, 2141, 13820])).
% 27.84/18.39 tff(13837,plain,
% 27.84/18.39 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB107)) | v130(constB107, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB107)) | v130(constB107, 2))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13838,plain,
% 27.84/18.39 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB107)) | v130(constB107, 2))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13839,plain,
% 27.84/18.39 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB107)) | v130(constB107, 2)),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13838, 13837])).
% 27.84/18.39 tff(13840,plain,
% 27.84/18.39 (v130(constB107, 2)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13839, 1873, 13690])).
% 27.84/18.39 tff(13841,plain,
% 27.84/18.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB107) | (~v130(constB107, 2)) | v127(constB107, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB107) | (~v130(constB107, 2)) | v127(constB107, 2))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13842,plain,
% 27.84/18.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB107) | (~v130(constB107, 2)) | v127(constB107, 2))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13843,plain,
% 27.84/18.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB107) | (~v130(constB107, 2)) | v127(constB107, 2)),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13842, 13841])).
% 27.84/18.39 tff(13844,plain,
% 27.84/18.39 ((~v130(constB107, 2)) | v127(constB107, 2)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13843, 1498, 13775])).
% 27.84/18.39 tff(13845,plain,
% 27.84/18.39 (v127(constB107, 2)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13844, 13840])).
% 27.84/18.39 tff(13846,plain,
% 27.84/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB107, constB108)) | (~v127(constB107, 2)) | v129(constB108, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB107, constB108)) | (~v127(constB107, 2)) | v129(constB108, 2))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13847,plain,
% 27.84/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB107, constB108)) | (~v127(constB107, 2)) | v129(constB108, 2))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13848,plain,
% 27.84/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB107, constB108)) | (~v127(constB107, 2)) | v129(constB108, 2)),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13847, 13846])).
% 27.84/18.39 tff(13849,plain,
% 27.84/18.39 ((~v127(constB107, 2)) | v129(constB108, 2)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13848, 1513, 13733])).
% 27.84/18.39 tff(13850,plain,
% 27.84/18.39 (v129(constB108, 2)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13849, 13845])).
% 27.84/18.39 tff(13851,plain,
% 27.84/18.39 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB108, 2) | (~v129(constB108, 2)) | (~v100(constB108)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB108, 2) | (~v129(constB108, 2)) | (~v100(constB108)))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13852,plain,
% 27.84/18.39 ((v90(constB108, 2) | (~v100(constB108)) | (~v129(constB108, 2))) <=> (v90(constB108, 2) | (~v129(constB108, 2)) | (~v100(constB108)))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13853,plain,
% 27.84/18.39 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB108, 2) | (~v100(constB108)) | (~v129(constB108, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB108, 2) | (~v129(constB108, 2)) | (~v100(constB108))))),
% 27.84/18.39 inference(monotonicity,[status(thm)],[13852])).
% 27.84/18.39 tff(13854,plain,
% 27.84/18.39 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB108, 2) | (~v100(constB108)) | (~v129(constB108, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB108, 2) | (~v129(constB108, 2)) | (~v100(constB108)))),
% 27.84/18.39 inference(transitivity,[status(thm)],[13853, 13851])).
% 27.84/18.39 tff(13855,plain,
% 27.84/18.39 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB108, 2) | (~v100(constB108)) | (~v129(constB108, 2)))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13856,plain,
% 27.84/18.39 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB108, 2) | (~v129(constB108, 2)) | (~v100(constB108))),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13855, 13854])).
% 27.84/18.39 tff(13857,plain,
% 27.84/18.39 (v90(constB108, 2) | (~v100(constB108))),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13856, 1528, 13850])).
% 27.84/18.39 tff(13858,plain,
% 27.84/18.39 (v90(constB108, 2)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13857, 13767])).
% 27.84/18.39 tff(13859,plain,
% 27.84/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB108, 2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB108, 2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 2))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13860,plain,
% 27.84/18.39 (((~nextState(constB108, constB109)) | (~v90(constB108, 2)) | v100(constB109) | v90(constB109, 2)) <=> ((~v90(constB108, 2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 2))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13861,plain,
% 27.84/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB108, constB109)) | (~v90(constB108, 2)) | v100(constB109) | v90(constB109, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB108, 2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 2)))),
% 27.84/18.39 inference(monotonicity,[status(thm)],[13860])).
% 27.84/18.39 tff(13862,plain,
% 27.84/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB108, constB109)) | (~v90(constB108, 2)) | v100(constB109) | v90(constB109, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB108, 2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 2))),
% 27.84/18.39 inference(transitivity,[status(thm)],[13861, 13859])).
% 27.84/18.39 tff(13863,plain,
% 27.84/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB108, constB109)) | (~v90(constB108, 2)) | v100(constB109) | v90(constB109, 2))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13864,plain,
% 27.84/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB108, 2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 2)),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13863, 13862])).
% 27.84/18.39 tff(13865,plain,
% 27.84/18.39 ((~v90(constB108, 2)) | v100(constB109) | v90(constB109, 2)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13864, 1546, 13799])).
% 27.84/18.39 tff(13866,plain,
% 27.84/18.39 ((~v90(constB108, 2)) | v90(constB109, 2)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13865, 13811])).
% 27.84/18.39 tff(13867,plain,
% 27.84/18.39 (v90(constB109, 2)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13866, 13858])).
% 27.84/18.39 tff(13868,plain,
% 27.84/18.39 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB109)) | (~v90(constB109, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB109)) | (~v90(constB109, 2)))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13869,plain,
% 27.84/18.39 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB109)) | (~v90(constB109, 2)))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13870,plain,
% 27.84/18.39 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB109)) | (~v90(constB109, 2))),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13869, 13868])).
% 27.84/18.39 tff(13871,plain,
% 27.84/18.39 (~v122(constB109)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13870, 2119, 13867])).
% 27.84/18.39 tff(13872,plain,
% 27.84/18.39 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB109)) | (~v90(constB109, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB109)) | (~v90(constB109, 2)))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13873,plain,
% 27.84/18.39 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB109)) | (~v90(constB109, 2)))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13874,plain,
% 27.84/18.39 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB109)) | (~v90(constB109, 2))),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13873, 13872])).
% 27.84/18.39 tff(13875,plain,
% 27.84/18.39 (~v121(constB109)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13874, 2130, 13867])).
% 27.84/18.39 tff(13876,plain,
% 27.84/18.39 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 1)))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13877,plain,
% 27.84/18.39 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 1)))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13878,plain,
% 27.84/18.39 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 1))),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13877, 13876])).
% 27.84/18.39 tff(13879,plain,
% 27.84/18.39 (~v130(constB109, 1)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13878, 2214, 13875, 13871, 13836, 13832, 13828, 13824])).
% 27.84/18.39 tff(13880,assumption,(v26(constB109)), introduced(assumption)).
% 27.84/18.39 tff(13881,plain,
% 27.84/18.39 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB109))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13882,plain,
% 27.84/18.39 ($false),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13881, 95, 13880])).
% 27.84/18.39 tff(13883,plain,(~v26(constB109)), inference(lemma,lemma(discharge,[]))).
% 27.84/18.39 tff(13884,plain,
% 27.84/18.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB109, 1)) | v26(constB109) | v130(constB109, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB109, 1)) | v26(constB109) | v130(constB109, 1))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13885,plain,
% 27.84/18.39 ((v26(constB109) | v130(constB109, 1) | (~v127(constB109, 1))) <=> ((~v127(constB109, 1)) | v26(constB109) | v130(constB109, 1))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13886,plain,
% 27.84/18.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB109) | v130(constB109, 1) | (~v127(constB109, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB109, 1)) | v26(constB109) | v130(constB109, 1)))),
% 27.84/18.39 inference(monotonicity,[status(thm)],[13885])).
% 27.84/18.39 tff(13887,plain,
% 27.84/18.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB109) | v130(constB109, 1) | (~v127(constB109, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB109, 1)) | v26(constB109) | v130(constB109, 1))),
% 27.84/18.39 inference(transitivity,[status(thm)],[13886, 13884])).
% 27.84/18.39 tff(13888,plain,
% 27.84/18.39 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB109) | v130(constB109, 1) | (~v127(constB109, 1)))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13889,plain,
% 27.84/18.39 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB109, 1)) | v26(constB109) | v130(constB109, 1)),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13888, 13887])).
% 27.84/18.39 tff(13890,plain,
% 27.84/18.39 ((~v127(constB109, 1)) | v130(constB109, 1)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13889, 541, 13883])).
% 27.84/18.39 tff(13891,plain,
% 27.84/18.39 (~v127(constB109, 1)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13890, 13879])).
% 27.84/18.39 tff(13892,plain,
% 27.84/18.39 (nextState(constB109, constB110) <=> nextState(constB109, constB110)),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13893,axiom,(nextState(constB109, constB110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_109_1')).
% 27.84/18.39 tff(13894,plain,
% 27.84/18.39 (nextState(constB109, constB110)),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13893, 13892])).
% 27.84/18.39 tff(13895,plain,
% 27.84/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB109, constB110)) | v127(constB109, 1) | (~v129(constB110, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB109, constB110)) | v127(constB109, 1) | (~v129(constB110, 1)))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13896,plain,
% 27.84/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB109, constB110)) | v127(constB109, 1) | (~v129(constB110, 1)))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13897,plain,
% 27.84/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB109, constB110)) | v127(constB109, 1) | (~v129(constB110, 1))),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13896, 13895])).
% 27.84/18.39 tff(13898,plain,
% 27.84/18.39 (v127(constB109, 1) | (~v129(constB110, 1))),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13897, 559, 13894])).
% 27.84/18.39 tff(13899,plain,
% 27.84/18.39 (~v129(constB110, 1)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13898, 13891])).
% 27.84/18.39 tff(13900,assumption,(~v100(constB110)), introduced(assumption)).
% 27.84/18.39 tff(13901,assumption,(~v90(constB110, 1)), introduced(assumption)).
% 27.84/18.39 tff(13902,plain,
% 27.84/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB109, 1)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB109, 1)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, 1))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13903,plain,
% 27.84/18.39 (((~nextState(constB109, constB110)) | (~v90(constB109, 1)) | v100(constB110) | v90(constB110, 1)) <=> ((~v90(constB109, 1)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, 1))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13904,plain,
% 27.84/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB109, constB110)) | (~v90(constB109, 1)) | v100(constB110) | v90(constB110, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB109, 1)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, 1)))),
% 27.84/18.39 inference(monotonicity,[status(thm)],[13903])).
% 27.84/18.39 tff(13905,plain,
% 27.84/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB109, constB110)) | (~v90(constB109, 1)) | v100(constB110) | v90(constB110, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB109, 1)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, 1))),
% 27.84/18.39 inference(transitivity,[status(thm)],[13904, 13902])).
% 27.84/18.39 tff(13906,plain,
% 27.84/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB109, constB110)) | (~v90(constB109, 1)) | v100(constB110) | v90(constB110, 1))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13907,plain,
% 27.84/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB109, 1)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, 1)),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13906, 13905])).
% 27.84/18.39 tff(13908,plain,
% 27.84/18.39 ((~v90(constB109, 1)) | v100(constB110) | v90(constB110, 1)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13907, 903, 13894])).
% 27.84/18.39 tff(13909,plain,
% 27.84/18.39 (~v90(constB109, 1)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13908, 13901, 13900])).
% 27.84/18.39 tff(13910,plain,
% 27.84/18.39 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13911,plain,
% 27.84/18.39 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13912,plain,
% 27.84/18.39 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110))),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13911, 13910])).
% 27.84/18.39 tff(13913,plain,
% 27.84/18.39 (~v104(constB110)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13912, 378, 13894, 13796])).
% 27.84/18.39 tff(13914,plain,
% 27.84/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13915,plain,
% 27.84/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13916,plain,
% 27.84/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB109, constB110)) | v102(constB110) | v104(constB110)),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13915, 13914])).
% 27.84/18.39 tff(13917,plain,
% 27.84/18.39 (v102(constB110) | v104(constB110)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13916, 392, 13894])).
% 27.84/18.39 tff(13918,plain,
% 27.84/18.39 (v102(constB110)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13917, 13913])).
% 27.84/18.39 tff(13919,plain,
% 27.84/18.39 (v1(constB110) <=> v1(constB110)),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13920,axiom,(v1(constB110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_110_1')).
% 27.84/18.39 tff(13921,plain,
% 27.84/18.39 (v1(constB110)),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13920, 13919])).
% 27.84/18.39 tff(13922,plain,
% 27.84/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13923,plain,
% 27.84/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13924,plain,
% 27.84/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110))),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13923, 13922])).
% 27.84/18.39 tff(13925,plain,
% 27.84/18.39 (v101(constB110) | (~v102(constB110))),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13924, 410, 13894, 13921])).
% 27.84/18.39 tff(13926,plain,
% 27.84/18.39 (v101(constB110)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13925, 13918])).
% 27.84/18.39 tff(13927,plain,
% 27.84/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13928,plain,
% 27.84/18.39 (((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110)) <=> ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13929,plain,
% 27.84/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110))))),
% 27.84/18.39 inference(monotonicity,[status(thm)],[13928])).
% 27.84/18.39 tff(13930,plain,
% 27.84/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 27.84/18.39 inference(transitivity,[status(thm)],[13929, 13927])).
% 27.84/18.39 tff(13931,plain,
% 27.84/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13932,plain,
% 27.84/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110))),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13931, 13930])).
% 27.84/18.39 tff(13933,plain,
% 27.84/18.39 (v100(constB110) | (~v101(constB110)) | (~v110(constB110))),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13932, 425, 13894])).
% 27.84/18.39 tff(13934,plain,
% 27.84/18.39 (v100(constB110) | (~v110(constB110))),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13933, 13926])).
% 27.84/18.39 tff(13935,plain,
% 27.84/18.39 (~v110(constB110)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13934, 13900])).
% 27.84/18.39 tff(13936,plain,
% 27.84/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13937,plain,
% 27.84/18.39 (((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110)) <=> ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13938,plain,
% 27.84/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109))))),
% 27.84/18.39 inference(monotonicity,[status(thm)],[13937])).
% 27.84/18.39 tff(13939,plain,
% 27.84/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 27.84/18.39 inference(transitivity,[status(thm)],[13938, 13936])).
% 27.84/18.39 tff(13940,plain,
% 27.84/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13941,plain,
% 27.84/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109))),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13940, 13939])).
% 27.84/18.39 tff(13942,plain,
% 27.84/18.39 (v110(constB110) | (~v108(constB109))),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13941, 360, 13894])).
% 27.84/18.39 tff(13943,plain,
% 27.84/18.39 (~v108(constB109)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13942, 13935])).
% 27.84/18.39 tff(13944,plain,
% 27.84/18.39 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB109) | (~v112(constB109)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB109) | (~v112(constB109)))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13945,plain,
% 27.84/18.39 (((~v112(constB109)) | v108(constB109)) <=> (v108(constB109) | (~v112(constB109)))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13946,plain,
% 27.84/18.39 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB109)) | v108(constB109))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB109) | (~v112(constB109))))),
% 27.84/18.39 inference(monotonicity,[status(thm)],[13945])).
% 27.84/18.39 tff(13947,plain,
% 27.84/18.39 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB109)) | v108(constB109))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB109) | (~v112(constB109)))),
% 27.84/18.39 inference(transitivity,[status(thm)],[13946, 13944])).
% 27.84/18.39 tff(13948,plain,
% 27.84/18.39 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB109)) | v108(constB109))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13949,plain,
% 27.84/18.39 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB109) | (~v112(constB109))),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13948, 13947])).
% 27.84/18.39 tff(13950,plain,
% 27.84/18.39 (~v112(constB109)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13949, 340, 13943])).
% 27.84/18.39 tff(13951,plain,
% 27.84/18.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | v112(constB109) | (~v113(constB109)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | v112(constB109) | (~v113(constB109)))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13952,plain,
% 27.84/18.39 ((v26(constB109) | (~v113(constB109)) | v112(constB109)) <=> (v26(constB109) | v112(constB109) | (~v113(constB109)))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13953,plain,
% 27.84/18.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | (~v113(constB109)) | v112(constB109))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | v112(constB109) | (~v113(constB109))))),
% 27.84/18.39 inference(monotonicity,[status(thm)],[13952])).
% 27.84/18.39 tff(13954,plain,
% 27.84/18.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | (~v113(constB109)) | v112(constB109))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | v112(constB109) | (~v113(constB109)))),
% 27.84/18.39 inference(transitivity,[status(thm)],[13953, 13951])).
% 27.84/18.39 tff(13955,plain,
% 27.84/18.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | (~v113(constB109)) | v112(constB109))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13956,plain,
% 27.84/18.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | v112(constB109) | (~v113(constB109))),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13955, 13954])).
% 27.84/18.39 tff(13957,plain,
% 27.84/18.39 (v112(constB109) | (~v113(constB109))),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13956, 328, 13883])).
% 27.84/18.39 tff(13958,plain,
% 27.84/18.39 (~v113(constB109)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13957, 13950])).
% 27.84/18.39 tff(13959,plain,
% 27.84/18.39 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB109) | (~v114(constB109)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB109) | (~v114(constB109)))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13960,plain,
% 27.84/18.39 (((~v114(constB109)) | v113(constB109)) <=> (v113(constB109) | (~v114(constB109)))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13961,plain,
% 27.84/18.39 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB109)) | v113(constB109))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB109) | (~v114(constB109))))),
% 27.84/18.39 inference(monotonicity,[status(thm)],[13960])).
% 27.84/18.39 tff(13962,plain,
% 27.84/18.39 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB109)) | v113(constB109))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB109) | (~v114(constB109)))),
% 27.84/18.39 inference(transitivity,[status(thm)],[13961, 13959])).
% 27.84/18.39 tff(13963,plain,
% 27.84/18.39 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB109)) | v113(constB109))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13964,plain,
% 27.84/18.39 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB109) | (~v114(constB109))),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13963, 13962])).
% 27.84/18.39 tff(13965,plain,
% 27.84/18.39 (~v114(constB109)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13964, 314, 13958])).
% 27.84/18.39 tff(13966,assumption,(~v90(constB110, 0)), introduced(assumption)).
% 27.84/18.39 tff(13967,plain,
% 27.84/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB109, 0)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB109, 0)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, 0))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13968,plain,
% 27.84/18.39 (((~nextState(constB109, constB110)) | (~v90(constB109, 0)) | v100(constB110) | v90(constB110, 0)) <=> ((~v90(constB109, 0)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, 0))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13969,plain,
% 27.84/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB109, constB110)) | (~v90(constB109, 0)) | v100(constB110) | v90(constB110, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB109, 0)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, 0)))),
% 27.84/18.39 inference(monotonicity,[status(thm)],[13968])).
% 27.84/18.39 tff(13970,plain,
% 27.84/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB109, constB110)) | (~v90(constB109, 0)) | v100(constB110) | v90(constB110, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB109, 0)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, 0))),
% 27.84/18.39 inference(transitivity,[status(thm)],[13969, 13967])).
% 27.84/18.39 tff(13971,plain,
% 27.84/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB109, constB110)) | (~v90(constB109, 0)) | v100(constB110) | v90(constB110, 0))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13972,plain,
% 27.84/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB109, 0)) | (~nextState(constB109, constB110)) | v100(constB110) | v90(constB110, 0)),
% 27.84/18.39 inference(modus_ponens,[status(thm)],[13971, 13970])).
% 27.84/18.39 tff(13973,plain,
% 27.84/18.39 ((~v90(constB109, 0)) | v100(constB110) | v90(constB110, 0)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13972, 660, 13894])).
% 27.84/18.39 tff(13974,plain,
% 27.84/18.39 (~v90(constB109, 0)),
% 27.84/18.39 inference(unit_resolution,[status(thm)],[13973, 13900, 13966])).
% 27.84/18.39 tff(13975,plain,
% 27.84/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB108, 0)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB108, 0)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 0))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13976,plain,
% 27.84/18.39 (((~nextState(constB108, constB109)) | (~v90(constB108, 0)) | v100(constB109) | v90(constB109, 0)) <=> ((~v90(constB108, 0)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 0))),
% 27.84/18.39 inference(rewrite,[status(thm)],[])).
% 27.84/18.39 tff(13977,plain,
% 27.84/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB108, constB109)) | (~v90(constB108, 0)) | v100(constB109) | v90(constB109, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB108, 0)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 0)))),
% 27.84/18.39 inference(monotonicity,[status(thm)],[13976])).
% 27.84/18.39 tff(13978,plain,
% 27.84/18.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB108, constB109)) | (~v90(constB108, 0)) | v100(constB109) | v90(constB109, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB108, 0)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 0))),
% 27.84/18.39 inference(transitivity,[status(thm)],[13977, 13975])).
% 27.84/18.39 tff(13979,plain,
% 27.84/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB108, constB109)) | (~v90(constB108, 0)) | v100(constB109) | v90(constB109, 0))),
% 27.84/18.39 inference(quant_inst,[status(thm)],[])).
% 27.84/18.39 tff(13980,plain,
% 27.84/18.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB108, 0)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 0)),
% 27.84/18.40 inference(modus_ponens,[status(thm)],[13979, 13978])).
% 27.84/18.40 tff(13981,plain,
% 27.84/18.40 ((~v90(constB108, 0)) | v100(constB109) | v90(constB109, 0)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[13980, 660, 13799])).
% 27.84/18.40 tff(13982,plain,
% 27.84/18.40 ((~v90(constB108, 0)) | v90(constB109, 0)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[13981, 13811])).
% 27.84/18.40 tff(13983,plain,
% 27.84/18.40 (~v90(constB108, 0)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[13982, 13974])).
% 27.84/18.40 tff(13984,plain,
% 27.84/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB107, constB108)) | (~v110(constB108)) | v108(constB107))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB107, constB108)) | (~v110(constB108)) | v108(constB107))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(13985,plain,
% 27.84/18.40 (((~nextState(constB107, constB108)) | v108(constB107) | (~v110(constB108))) <=> ((~nextState(constB107, constB108)) | (~v110(constB108)) | v108(constB107))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(13986,plain,
% 27.84/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB107, constB108)) | v108(constB107) | (~v110(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB107, constB108)) | (~v110(constB108)) | v108(constB107)))),
% 27.84/18.40 inference(monotonicity,[status(thm)],[13985])).
% 27.84/18.40 tff(13987,plain,
% 27.84/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB107, constB108)) | v108(constB107) | (~v110(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB107, constB108)) | (~v110(constB108)) | v108(constB107))),
% 27.84/18.40 inference(transitivity,[status(thm)],[13986, 13984])).
% 27.84/18.40 tff(13988,plain,
% 27.84/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB107, constB108)) | v108(constB107) | (~v110(constB108)))),
% 27.84/18.40 inference(quant_inst,[status(thm)],[])).
% 27.84/18.40 tff(13989,plain,
% 27.84/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB107, constB108)) | (~v110(constB108)) | v108(constB107)),
% 27.84/18.40 inference(modus_ponens,[status(thm)],[13988, 13987])).
% 27.84/18.40 tff(13990,plain,
% 27.84/18.40 ((~v110(constB108)) | v108(constB107)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[13989, 4642, 13733])).
% 27.84/18.40 tff(13991,plain,
% 27.84/18.40 (~v110(constB108)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[13990, 13705])).
% 27.84/18.40 tff(13992,plain,
% 27.84/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB107, constB108)) | v110(constB108) | (~v100(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v100(constB108)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(13993,plain,
% 27.84/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB107, constB108)) | v110(constB108) | (~v100(constB108)))),
% 27.84/18.40 inference(quant_inst,[status(thm)],[])).
% 27.84/18.40 tff(13994,plain,
% 27.84/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v100(constB108))),
% 27.84/18.40 inference(modus_ponens,[status(thm)],[13993, 13992])).
% 27.84/18.40 tff(13995,plain,
% 27.84/18.40 (v110(constB108) | (~v100(constB108))),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[13994, 4627, 13733])).
% 27.84/18.40 tff(13996,plain,
% 27.84/18.40 (~v100(constB108)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[13995, 13991])).
% 27.84/18.40 tff(13997,plain,
% 27.84/18.40 (~v113(constB107)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[13729, 13705])).
% 27.84/18.40 tff(13998,plain,
% 27.84/18.40 (~v114(constB107)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[13703, 314, 13997])).
% 27.84/18.40 tff(13999,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB107) | (~v115(constB107)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB107) | (~v115(constB107)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14000,plain,
% 27.84/18.40 (((~v115(constB107)) | v114(constB107)) <=> (v114(constB107) | (~v115(constB107)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14001,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB107)) | v114(constB107))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB107) | (~v115(constB107))))),
% 27.84/18.40 inference(monotonicity,[status(thm)],[14000])).
% 27.84/18.40 tff(14002,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB107)) | v114(constB107))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB107) | (~v115(constB107)))),
% 27.84/18.40 inference(transitivity,[status(thm)],[14001, 13999])).
% 27.84/18.40 tff(14003,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB107)) | v114(constB107))),
% 27.84/18.40 inference(quant_inst,[status(thm)],[])).
% 27.84/18.40 tff(14004,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB107) | (~v115(constB107))),
% 27.84/18.40 inference(modus_ponens,[status(thm)],[14003, 14002])).
% 27.84/18.40 tff(14005,plain,
% 27.84/18.40 (~v115(constB107)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14004, 300, 13998])).
% 27.84/18.40 tff(14006,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB107) | (~v116(constB107)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB107) | (~v116(constB107)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14007,plain,
% 27.84/18.40 (((~v116(constB107)) | v115(constB107)) <=> (v115(constB107) | (~v116(constB107)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14008,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB107)) | v115(constB107))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB107) | (~v116(constB107))))),
% 27.84/18.40 inference(monotonicity,[status(thm)],[14007])).
% 27.84/18.40 tff(14009,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB107)) | v115(constB107))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB107) | (~v116(constB107)))),
% 27.84/18.40 inference(transitivity,[status(thm)],[14008, 14006])).
% 27.84/18.40 tff(14010,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB107)) | v115(constB107))),
% 27.84/18.40 inference(quant_inst,[status(thm)],[])).
% 27.84/18.40 tff(14011,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB107) | (~v116(constB107))),
% 27.84/18.40 inference(modus_ponens,[status(thm)],[14010, 14009])).
% 27.84/18.40 tff(14012,plain,
% 27.84/18.40 (~v116(constB107)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14011, 286, 14005])).
% 27.84/18.40 tff(14013,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB107) | (~v122(constB107)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB107) | (~v122(constB107)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14014,plain,
% 27.84/18.40 (((~v122(constB107)) | v116(constB107)) <=> (v116(constB107) | (~v122(constB107)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14015,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB107)) | v116(constB107))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB107) | (~v122(constB107))))),
% 27.84/18.40 inference(monotonicity,[status(thm)],[14014])).
% 27.84/18.40 tff(14016,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB107)) | v116(constB107))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB107) | (~v122(constB107)))),
% 27.84/18.40 inference(transitivity,[status(thm)],[14015, 14013])).
% 27.84/18.40 tff(14017,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB107)) | v116(constB107))),
% 27.84/18.40 inference(quant_inst,[status(thm)],[])).
% 27.84/18.40 tff(14018,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB107) | (~v122(constB107))),
% 27.84/18.40 inference(modus_ponens,[status(thm)],[14017, 14016])).
% 27.84/18.40 tff(14019,plain,
% 27.84/18.40 (~v122(constB107)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14018, 1272, 14012])).
% 27.84/18.40 tff(14020,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB107) | (~v117(constB107)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB107) | (~v117(constB107)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14021,plain,
% 27.84/18.40 (((~v117(constB107)) | v116(constB107)) <=> (v116(constB107) | (~v117(constB107)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14022,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB107)) | v116(constB107))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB107) | (~v117(constB107))))),
% 27.84/18.40 inference(monotonicity,[status(thm)],[14021])).
% 27.84/18.40 tff(14023,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB107)) | v116(constB107))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB107) | (~v117(constB107)))),
% 27.84/18.40 inference(transitivity,[status(thm)],[14022, 14020])).
% 27.84/18.40 tff(14024,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB107)) | v116(constB107))),
% 27.84/18.40 inference(quant_inst,[status(thm)],[])).
% 27.84/18.40 tff(14025,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB107) | (~v117(constB107))),
% 27.84/18.40 inference(modus_ponens,[status(thm)],[14024, 14023])).
% 27.84/18.40 tff(14026,plain,
% 27.84/18.40 (~v117(constB107)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14025, 272, 14012])).
% 27.84/18.40 tff(14027,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB107) | (~v121(constB107)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB107) | (~v121(constB107)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14028,plain,
% 27.84/18.40 (((~v121(constB107)) | v117(constB107)) <=> (v117(constB107) | (~v121(constB107)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14029,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB107)) | v117(constB107))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB107) | (~v121(constB107))))),
% 27.84/18.40 inference(monotonicity,[status(thm)],[14028])).
% 27.84/18.40 tff(14030,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB107)) | v117(constB107))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB107) | (~v121(constB107)))),
% 27.84/18.40 inference(transitivity,[status(thm)],[14029, 14027])).
% 27.84/18.40 tff(14031,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB107)) | v117(constB107))),
% 27.84/18.40 inference(quant_inst,[status(thm)],[])).
% 27.84/18.40 tff(14032,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB107) | (~v121(constB107))),
% 27.84/18.40 inference(modus_ponens,[status(thm)],[14031, 14030])).
% 27.84/18.40 tff(14033,plain,
% 27.84/18.40 (~v121(constB107)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14032, 1004, 14026])).
% 27.84/18.40 tff(14034,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB107) | (~v123(constB107)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB107) | (~v123(constB107)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14035,plain,
% 27.84/18.40 (((~v123(constB107)) | v115(constB107)) <=> (v115(constB107) | (~v123(constB107)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14036,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB107)) | v115(constB107))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB107) | (~v123(constB107))))),
% 27.84/18.40 inference(monotonicity,[status(thm)],[14035])).
% 27.84/18.40 tff(14037,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB107)) | v115(constB107))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB107) | (~v123(constB107)))),
% 27.84/18.40 inference(transitivity,[status(thm)],[14036, 14034])).
% 27.84/18.40 tff(14038,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB107)) | v115(constB107))),
% 27.84/18.40 inference(quant_inst,[status(thm)],[])).
% 27.84/18.40 tff(14039,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB107) | (~v123(constB107))),
% 27.84/18.40 inference(modus_ponens,[status(thm)],[14038, 14037])).
% 27.84/18.40 tff(14040,plain,
% 27.84/18.40 (~v123(constB107)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14039, 1579, 14005])).
% 27.84/18.40 tff(14041,plain,
% 27.84/18.40 (~v124(constB107)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[13696, 1805, 13998])).
% 27.84/18.40 tff(14042,assumption,(v119(constB107)), introduced(assumption)).
% 27.84/18.40 tff(14043,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB107) | (~v119(constB107)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB107) | (~v119(constB107)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14044,plain,
% 27.84/18.40 (((~v119(constB107)) | v118(constB107)) <=> (v118(constB107) | (~v119(constB107)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14045,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB107)) | v118(constB107))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB107) | (~v119(constB107))))),
% 27.84/18.40 inference(monotonicity,[status(thm)],[14044])).
% 27.84/18.40 tff(14046,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB107)) | v118(constB107))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB107) | (~v119(constB107)))),
% 27.84/18.40 inference(transitivity,[status(thm)],[14045, 14043])).
% 27.84/18.40 tff(14047,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB107)) | v118(constB107))),
% 27.84/18.40 inference(quant_inst,[status(thm)],[])).
% 27.84/18.40 tff(14048,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB107) | (~v119(constB107))),
% 27.84/18.40 inference(modus_ponens,[status(thm)],[14047, 14046])).
% 27.84/18.40 tff(14049,plain,
% 27.84/18.40 (v118(constB107)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14048, 247, 14042])).
% 27.84/18.40 tff(14050,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB107) | (~v118(constB107)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB107) | (~v118(constB107)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14051,plain,
% 27.84/18.40 (((~v118(constB107)) | v117(constB107)) <=> (v117(constB107) | (~v118(constB107)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14052,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB107)) | v117(constB107))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB107) | (~v118(constB107))))),
% 27.84/18.40 inference(monotonicity,[status(thm)],[14051])).
% 27.84/18.40 tff(14053,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB107)) | v117(constB107))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB107) | (~v118(constB107)))),
% 27.84/18.40 inference(transitivity,[status(thm)],[14052, 14050])).
% 27.84/18.40 tff(14054,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB107)) | v117(constB107))),
% 27.84/18.40 inference(quant_inst,[status(thm)],[])).
% 27.84/18.40 tff(14055,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB107) | (~v118(constB107))),
% 27.84/18.40 inference(modus_ponens,[status(thm)],[14054, 14053])).
% 27.84/18.40 tff(14056,plain,
% 27.84/18.40 (v117(constB107)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14055, 258, 14049])).
% 27.84/18.40 tff(14057,plain,
% 27.84/18.40 (v116(constB107)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14025, 272, 14056])).
% 27.84/18.40 tff(14058,plain,
% 27.84/18.40 (v115(constB107)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14011, 286, 14057])).
% 27.84/18.40 tff(14059,plain,
% 27.84/18.40 (v114(constB107)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14004, 300, 14058])).
% 27.84/18.40 tff(14060,plain,
% 27.84/18.40 (v113(constB107)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[13703, 314, 14059])).
% 27.84/18.40 tff(14061,plain,
% 27.84/18.40 (v108(constB107)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[13729, 14060])).
% 27.84/18.40 tff(14062,plain,
% 27.84/18.40 (v110(constB108)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[13740, 14061])).
% 27.84/18.40 tff(14063,plain,
% 27.84/18.40 (v100(constB108)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[13766, 14062])).
% 27.84/18.40 tff(14064,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB107)) | (~v130(constB107, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB107)) | (~v130(constB107, 2)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14065,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB107)) | (~v130(constB107, 2)))),
% 27.84/18.40 inference(quant_inst,[status(thm)],[])).
% 27.84/18.40 tff(14066,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB107)) | (~v130(constB107, 2))),
% 27.84/18.40 inference(modus_ponens,[status(thm)],[14065, 14064])).
% 27.84/18.40 tff(14067,plain,
% 27.84/18.40 (~v130(constB107, 2)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14066, 441, 14042])).
% 27.84/18.40 tff(14068,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB107, 2)) | v26(constB107) | v130(constB107, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB107, 2)) | v26(constB107) | v130(constB107, 2))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14069,plain,
% 27.84/18.40 ((v26(constB107) | v130(constB107, 2) | (~v127(constB107, 2))) <=> ((~v127(constB107, 2)) | v26(constB107) | v130(constB107, 2))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14070,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB107) | v130(constB107, 2) | (~v127(constB107, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB107, 2)) | v26(constB107) | v130(constB107, 2)))),
% 27.84/18.40 inference(monotonicity,[status(thm)],[14069])).
% 27.84/18.40 tff(14071,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB107) | v130(constB107, 2) | (~v127(constB107, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB107, 2)) | v26(constB107) | v130(constB107, 2))),
% 27.84/18.40 inference(transitivity,[status(thm)],[14070, 14068])).
% 27.84/18.40 tff(14072,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB107) | v130(constB107, 2) | (~v127(constB107, 2)))),
% 27.84/18.40 inference(quant_inst,[status(thm)],[])).
% 27.84/18.40 tff(14073,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB107, 2)) | v26(constB107) | v130(constB107, 2)),
% 27.84/18.40 inference(modus_ponens,[status(thm)],[14072, 14071])).
% 27.84/18.40 tff(14074,plain,
% 27.84/18.40 ((~v127(constB107, 2)) | v130(constB107, 2)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14073, 455, 13775])).
% 27.84/18.40 tff(14075,plain,
% 27.84/18.40 (~v127(constB107, 2)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14074, 14067])).
% 27.84/18.40 tff(14076,plain,
% 27.84/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB107, constB108)) | v127(constB107, 2) | (~v129(constB108, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB107, constB108)) | v127(constB107, 2) | (~v129(constB108, 2)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14077,plain,
% 27.84/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB107, constB108)) | v127(constB107, 2) | (~v129(constB108, 2)))),
% 27.84/18.40 inference(quant_inst,[status(thm)],[])).
% 27.84/18.40 tff(14078,plain,
% 27.84/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB107, constB108)) | v127(constB107, 2) | (~v129(constB108, 2))),
% 27.84/18.40 inference(modus_ponens,[status(thm)],[14077, 14076])).
% 27.84/18.40 tff(14079,plain,
% 27.84/18.40 (v127(constB107, 2) | (~v129(constB108, 2))),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14078, 473, 13733])).
% 27.84/18.40 tff(14080,plain,
% 27.84/18.40 (~v129(constB108, 2)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14079, 14075])).
% 27.84/18.40 tff(14081,plain,
% 27.84/18.40 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB108, 2)) | v129(constB108, 2) | (~v100(constB108)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB108, 2)) | v129(constB108, 2) | (~v100(constB108)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14082,plain,
% 27.84/18.40 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB108, 2)) | v129(constB108, 2) | (~v100(constB108)))),
% 27.84/18.40 inference(quant_inst,[status(thm)],[])).
% 27.84/18.40 tff(14083,plain,
% 27.84/18.40 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB108, 2)) | v129(constB108, 2) | (~v100(constB108))),
% 27.84/18.40 inference(modus_ponens,[status(thm)],[14082, 14081])).
% 27.84/18.40 tff(14084,plain,
% 27.84/18.40 ((~v90(constB108, 2)) | (~v100(constB108))),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14083, 488, 14080])).
% 27.84/18.40 tff(14085,plain,
% 27.84/18.40 (~v90(constB108, 2)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14084, 14063])).
% 27.84/18.40 tff(14086,plain,
% 27.84/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB108, 2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB108, 2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 2)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14087,plain,
% 27.84/18.40 (((~nextState(constB108, constB109)) | v90(constB108, 2) | v100(constB109) | (~v90(constB109, 2))) <=> (v90(constB108, 2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 2)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14088,plain,
% 27.84/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB108, constB109)) | v90(constB108, 2) | v100(constB109) | (~v90(constB109, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB108, 2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 2))))),
% 27.84/18.40 inference(monotonicity,[status(thm)],[14087])).
% 27.84/18.40 tff(14089,plain,
% 27.84/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB108, constB109)) | v90(constB108, 2) | v100(constB109) | (~v90(constB109, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB108, 2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 2)))),
% 27.84/18.40 inference(transitivity,[status(thm)],[14088, 14086])).
% 27.84/18.40 tff(14090,plain,
% 27.84/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB108, constB109)) | v90(constB108, 2) | v100(constB109) | (~v90(constB109, 2)))),
% 27.84/18.40 inference(quant_inst,[status(thm)],[])).
% 27.84/18.40 tff(14091,plain,
% 27.84/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB108, 2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 2))),
% 27.84/18.40 inference(modus_ponens,[status(thm)],[14090, 14089])).
% 27.84/18.40 tff(14092,plain,
% 27.84/18.40 (v90(constB108, 2) | v100(constB109) | (~v90(constB109, 2))),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14091, 170, 13799])).
% 27.84/18.40 tff(14093,plain,
% 27.84/18.40 (v90(constB108, 2) | (~v90(constB109, 2))),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14092, 13811])).
% 27.84/18.40 tff(14094,plain,
% 27.84/18.40 (~v90(constB109, 2)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14093, 14085])).
% 27.84/18.40 tff(14095,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB107)) | (~v130(constB107, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB107)) | (~v130(constB107, 1)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14096,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB107)) | (~v130(constB107, 1)))),
% 27.84/18.40 inference(quant_inst,[status(thm)],[])).
% 27.84/18.40 tff(14097,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB107)) | (~v130(constB107, 1))),
% 27.84/18.40 inference(modus_ponens,[status(thm)],[14096, 14095])).
% 27.84/18.40 tff(14098,plain,
% 27.84/18.40 (~v130(constB107, 1)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14097, 527, 14042])).
% 27.84/18.40 tff(14099,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB107, 1)) | v26(constB107) | v130(constB107, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB107, 1)) | v26(constB107) | v130(constB107, 1))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14100,plain,
% 27.84/18.40 ((v26(constB107) | v130(constB107, 1) | (~v127(constB107, 1))) <=> ((~v127(constB107, 1)) | v26(constB107) | v130(constB107, 1))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14101,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB107) | v130(constB107, 1) | (~v127(constB107, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB107, 1)) | v26(constB107) | v130(constB107, 1)))),
% 27.84/18.40 inference(monotonicity,[status(thm)],[14100])).
% 27.84/18.40 tff(14102,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB107) | v130(constB107, 1) | (~v127(constB107, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB107, 1)) | v26(constB107) | v130(constB107, 1))),
% 27.84/18.40 inference(transitivity,[status(thm)],[14101, 14099])).
% 27.84/18.40 tff(14103,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB107) | v130(constB107, 1) | (~v127(constB107, 1)))),
% 27.84/18.40 inference(quant_inst,[status(thm)],[])).
% 27.84/18.40 tff(14104,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB107, 1)) | v26(constB107) | v130(constB107, 1)),
% 27.84/18.40 inference(modus_ponens,[status(thm)],[14103, 14102])).
% 27.84/18.40 tff(14105,plain,
% 27.84/18.40 ((~v127(constB107, 1)) | v130(constB107, 1)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14104, 541, 13775])).
% 27.84/18.40 tff(14106,plain,
% 27.84/18.40 (~v127(constB107, 1)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14105, 14098])).
% 27.84/18.40 tff(14107,plain,
% 27.84/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB107, constB108)) | v127(constB107, 1) | (~v129(constB108, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB107, constB108)) | v127(constB107, 1) | (~v129(constB108, 1)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14108,plain,
% 27.84/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB107, constB108)) | v127(constB107, 1) | (~v129(constB108, 1)))),
% 27.84/18.40 inference(quant_inst,[status(thm)],[])).
% 27.84/18.40 tff(14109,plain,
% 27.84/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB107, constB108)) | v127(constB107, 1) | (~v129(constB108, 1))),
% 27.84/18.40 inference(modus_ponens,[status(thm)],[14108, 14107])).
% 27.84/18.40 tff(14110,plain,
% 27.84/18.40 (v127(constB107, 1) | (~v129(constB108, 1))),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14109, 559, 13733])).
% 27.84/18.40 tff(14111,plain,
% 27.84/18.40 (~v129(constB108, 1)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14110, 14106])).
% 27.84/18.40 tff(14112,plain,
% 27.84/18.40 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB108, 1)) | v129(constB108, 1) | (~v100(constB108)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB108, 1)) | v129(constB108, 1) | (~v100(constB108)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14113,plain,
% 27.84/18.40 (((~v90(constB108, 1)) | (~v100(constB108)) | v129(constB108, 1)) <=> ((~v90(constB108, 1)) | v129(constB108, 1) | (~v100(constB108)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14114,plain,
% 27.84/18.40 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB108, 1)) | (~v100(constB108)) | v129(constB108, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB108, 1)) | v129(constB108, 1) | (~v100(constB108))))),
% 27.84/18.40 inference(monotonicity,[status(thm)],[14113])).
% 27.84/18.40 tff(14115,plain,
% 27.84/18.40 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB108, 1)) | (~v100(constB108)) | v129(constB108, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB108, 1)) | v129(constB108, 1) | (~v100(constB108)))),
% 27.84/18.40 inference(transitivity,[status(thm)],[14114, 14112])).
% 27.84/18.40 tff(14116,plain,
% 27.84/18.40 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB108, 1)) | (~v100(constB108)) | v129(constB108, 1))),
% 27.84/18.40 inference(quant_inst,[status(thm)],[])).
% 27.84/18.40 tff(14117,plain,
% 27.84/18.40 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB108, 1)) | v129(constB108, 1) | (~v100(constB108))),
% 27.84/18.40 inference(modus_ponens,[status(thm)],[14116, 14115])).
% 27.84/18.40 tff(14118,plain,
% 27.84/18.40 ((~v90(constB108, 1)) | (~v100(constB108))),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14117, 574, 14111])).
% 27.84/18.40 tff(14119,plain,
% 27.84/18.40 (~v90(constB108, 1)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14118, 14063])).
% 27.84/18.40 tff(14120,plain,
% 27.84/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB108, 1) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB108, 1) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 1)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14121,plain,
% 27.84/18.40 (((~nextState(constB108, constB109)) | v90(constB108, 1) | v100(constB109) | (~v90(constB109, 1))) <=> (v90(constB108, 1) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 1)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14122,plain,
% 27.84/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB108, constB109)) | v90(constB108, 1) | v100(constB109) | (~v90(constB109, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB108, 1) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 1))))),
% 27.84/18.40 inference(monotonicity,[status(thm)],[14121])).
% 27.84/18.40 tff(14123,plain,
% 27.84/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB108, constB109)) | v90(constB108, 1) | v100(constB109) | (~v90(constB109, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB108, 1) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 1)))),
% 27.84/18.40 inference(transitivity,[status(thm)],[14122, 14120])).
% 27.84/18.40 tff(14124,plain,
% 27.84/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB108, constB109)) | v90(constB108, 1) | v100(constB109) | (~v90(constB109, 1)))),
% 27.84/18.40 inference(quant_inst,[status(thm)],[])).
% 27.84/18.40 tff(14125,plain,
% 27.84/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB108, 1) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 1))),
% 27.84/18.40 inference(modus_ponens,[status(thm)],[14124, 14123])).
% 27.84/18.40 tff(14126,plain,
% 27.84/18.40 (v90(constB108, 1) | v100(constB109) | (~v90(constB109, 1))),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14125, 191, 13799])).
% 27.84/18.40 tff(14127,plain,
% 27.84/18.40 (v90(constB108, 1) | (~v90(constB109, 1))),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14126, 13811])).
% 27.84/18.40 tff(14128,plain,
% 27.84/18.40 (~v90(constB109, 1)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14127, 14119])).
% 27.84/18.40 tff(14129,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB107)) | v130(constB107, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB107)) | v130(constB107, 0))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14130,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB107)) | v130(constB107, 0))),
% 27.84/18.40 inference(quant_inst,[status(thm)],[])).
% 27.84/18.40 tff(14131,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB107)) | v130(constB107, 0)),
% 27.84/18.40 inference(modus_ponens,[status(thm)],[14130, 14129])).
% 27.84/18.40 tff(14132,plain,
% 27.84/18.40 (v130(constB107, 0)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14131, 598, 14042])).
% 27.84/18.40 tff(14133,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB107) | (~v130(constB107, 0)) | v127(constB107, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB107) | (~v130(constB107, 0)) | v127(constB107, 0))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14134,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB107) | (~v130(constB107, 0)) | v127(constB107, 0))),
% 27.84/18.40 inference(quant_inst,[status(thm)],[])).
% 27.84/18.40 tff(14135,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB107) | (~v130(constB107, 0)) | v127(constB107, 0)),
% 27.84/18.40 inference(modus_ponens,[status(thm)],[14134, 14133])).
% 27.84/18.40 tff(14136,plain,
% 27.84/18.40 ((~v130(constB107, 0)) | v127(constB107, 0)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14135, 612, 13775])).
% 27.84/18.40 tff(14137,plain,
% 27.84/18.40 (v127(constB107, 0)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14136, 14132])).
% 27.84/18.40 tff(14138,plain,
% 27.84/18.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB107, constB108)) | (~v127(constB107, 0)) | v129(constB108, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB107, constB108)) | (~v127(constB107, 0)) | v129(constB108, 0))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14139,plain,
% 27.84/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB107, constB108)) | (~v127(constB107, 0)) | v129(constB108, 0))),
% 27.84/18.40 inference(quant_inst,[status(thm)],[])).
% 27.84/18.40 tff(14140,plain,
% 27.84/18.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB107, constB108)) | (~v127(constB107, 0)) | v129(constB108, 0)),
% 27.84/18.40 inference(modus_ponens,[status(thm)],[14139, 14138])).
% 27.84/18.40 tff(14141,plain,
% 27.84/18.40 ((~v127(constB107, 0)) | v129(constB108, 0)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14140, 627, 13733])).
% 27.84/18.40 tff(14142,plain,
% 27.84/18.40 (v129(constB108, 0)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14141, 14137])).
% 27.84/18.40 tff(14143,plain,
% 27.84/18.40 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB108, 0) | (~v129(constB108, 0)) | (~v100(constB108)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB108, 0) | (~v129(constB108, 0)) | (~v100(constB108)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14144,plain,
% 27.84/18.40 ((v90(constB108, 0) | (~v100(constB108)) | (~v129(constB108, 0))) <=> (v90(constB108, 0) | (~v129(constB108, 0)) | (~v100(constB108)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14145,plain,
% 27.84/18.40 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB108, 0) | (~v100(constB108)) | (~v129(constB108, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB108, 0) | (~v129(constB108, 0)) | (~v100(constB108))))),
% 27.84/18.40 inference(monotonicity,[status(thm)],[14144])).
% 27.84/18.40 tff(14146,plain,
% 27.84/18.40 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB108, 0) | (~v100(constB108)) | (~v129(constB108, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB108, 0) | (~v129(constB108, 0)) | (~v100(constB108)))),
% 27.84/18.40 inference(transitivity,[status(thm)],[14145, 14143])).
% 27.84/18.40 tff(14147,plain,
% 27.84/18.40 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB108, 0) | (~v100(constB108)) | (~v129(constB108, 0)))),
% 27.84/18.40 inference(quant_inst,[status(thm)],[])).
% 27.84/18.40 tff(14148,plain,
% 27.84/18.40 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB108, 0) | (~v129(constB108, 0)) | (~v100(constB108))),
% 27.84/18.40 inference(modus_ponens,[status(thm)],[14147, 14146])).
% 27.84/18.40 tff(14149,plain,
% 27.84/18.40 (v90(constB108, 0) | (~v100(constB108))),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14148, 642, 14142])).
% 27.84/18.40 tff(14150,plain,
% 27.84/18.40 (v90(constB108, 0)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14149, 14063])).
% 27.84/18.40 tff(14151,plain,
% 27.84/18.40 (v90(constB109, 0)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[13982, 14150])).
% 27.84/18.40 tff(14152,plain,
% 27.84/18.40 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB109, 0)) | v90(constB109, 1) | v90(constB109, 2) | v120(constB109))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB109, 0)) | v90(constB109, 1) | v90(constB109, 2) | v120(constB109))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14153,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB109, 0)) | v90(constB109, 1) | v90(constB109, 2) | v120(constB109))),
% 27.84/18.40 inference(quant_inst,[status(thm)],[])).
% 27.84/18.40 tff(14154,plain,
% 27.84/18.40 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB109, 0)) | v90(constB109, 1) | v90(constB109, 2) | v120(constB109)),
% 27.84/18.40 inference(modus_ponens,[status(thm)],[14153, 14152])).
% 27.84/18.40 tff(14155,plain,
% 27.84/18.40 (v120(constB109)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[14154, 679, 14151, 14128, 14094])).
% 27.84/18.40 tff(14156,plain,
% 27.84/18.40 (v100(constB110)),
% 27.84/18.40 inference(unit_resolution,[status(thm)],[13973, 14151, 13966])).
% 27.84/18.40 tff(14157,plain,
% 27.84/18.40 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB110, 1) | (~v129(constB110, 1)) | (~v100(constB110)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB110, 1) | (~v129(constB110, 1)) | (~v100(constB110)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14158,plain,
% 27.84/18.40 ((v90(constB110, 1) | (~v100(constB110)) | (~v129(constB110, 1))) <=> (v90(constB110, 1) | (~v129(constB110, 1)) | (~v100(constB110)))),
% 27.84/18.40 inference(rewrite,[status(thm)],[])).
% 27.84/18.40 tff(14159,plain,
% 27.84/18.40 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB110, 1) | (~v100(constB110)) | (~v129(constB110, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB110, 1) | (~v129(constB110, 1)) | (~v100(constB110))))),
% 27.84/18.40 inference(monotonicity,[status(thm)],[14158])).
% 27.84/18.40 tff(14160,plain,
% 27.84/18.40 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB110, 1) | (~v100(constB110)) | (~v129(constB110, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB110, 1) | (~v129(constB110, 1)) | (~v100(constB110)))),
% 27.84/18.41 inference(transitivity,[status(thm)],[14159, 14157])).
% 27.84/18.41 tff(14161,plain,
% 27.84/18.41 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB110, 1) | (~v100(constB110)) | (~v129(constB110, 1)))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14162,plain,
% 27.84/18.41 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB110, 1) | (~v129(constB110, 1)) | (~v100(constB110))),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14161, 14160])).
% 27.84/18.41 tff(14163,plain,
% 27.84/18.41 ((~v129(constB110, 1)) | (~v100(constB110))),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14162, 885, 13901])).
% 27.84/18.41 tff(14164,plain,
% 27.84/18.41 (~v129(constB110, 1)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14163, 14156])).
% 27.84/18.41 tff(14165,plain,
% 27.84/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB109, constB110)) | (~v127(constB109, 1)) | v129(constB110, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB109, constB110)) | (~v127(constB109, 1)) | v129(constB110, 1))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14166,plain,
% 27.84/18.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB109, constB110)) | (~v127(constB109, 1)) | v129(constB110, 1))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14167,plain,
% 27.84/18.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB109, constB110)) | (~v127(constB109, 1)) | v129(constB110, 1)),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14166, 14165])).
% 27.84/18.41 tff(14168,plain,
% 27.84/18.41 ((~v127(constB109, 1)) | v129(constB110, 1)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14167, 870, 13894])).
% 27.84/18.41 tff(14169,plain,
% 27.84/18.41 (~v127(constB109, 1)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14168, 14164])).
% 27.84/18.41 tff(14170,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB109) | (~v130(constB109, 1)) | v127(constB109, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB109) | (~v130(constB109, 1)) | v127(constB109, 1))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14171,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB109) | (~v130(constB109, 1)) | v127(constB109, 1))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14172,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB109) | (~v130(constB109, 1)) | v127(constB109, 1)),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14171, 14170])).
% 27.84/18.41 tff(14173,plain,
% 27.84/18.41 ((~v130(constB109, 1)) | v127(constB109, 1)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14172, 855, 13883])).
% 27.84/18.41 tff(14174,plain,
% 27.84/18.41 (~v130(constB109, 1)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14173, 14169])).
% 27.84/18.41 tff(14175,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB109)) | v130(constB109, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB109)) | v130(constB109, 1))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14176,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB109)) | v130(constB109, 1))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14177,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB109)) | v130(constB109, 1)),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14176, 14175])).
% 27.84/18.41 tff(14178,plain,
% 27.84/18.41 ($false),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14177, 841, 14174, 14155])).
% 27.84/18.41 tff(14179,plain,((~v119(constB107)) | v90(constB110, 1) | v90(constB110, 0)), inference(lemma,lemma(discharge,[]))).
% 27.84/18.41 tff(14180,plain,
% 27.84/18.41 (~v119(constB107)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14179, 13966, 13901])).
% 27.84/18.41 tff(14181,plain,
% 27.84/18.41 (~v118(constB107)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14055, 258, 14026])).
% 27.84/18.41 tff(14182,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB107) | (~v120(constB107)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB107) | (~v120(constB107)))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14183,plain,
% 27.84/18.41 (((~v120(constB107)) | v118(constB107)) <=> (v118(constB107) | (~v120(constB107)))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14184,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB107)) | v118(constB107))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB107) | (~v120(constB107))))),
% 27.84/18.41 inference(monotonicity,[status(thm)],[14183])).
% 27.84/18.41 tff(14185,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB107)) | v118(constB107))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB107) | (~v120(constB107)))),
% 27.84/18.41 inference(transitivity,[status(thm)],[14184, 14182])).
% 27.84/18.41 tff(14186,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB107)) | v118(constB107))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14187,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB107) | (~v120(constB107))),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14186, 14185])).
% 27.84/18.41 tff(14188,plain,
% 27.84/18.41 (~v120(constB107)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14187, 690, 14181])).
% 27.84/18.41 tff(14189,assumption,(~v90(constB107, 1)), introduced(assumption)).
% 27.84/18.41 tff(14190,assumption,(~v120(constB107)), introduced(assumption)).
% 27.84/18.41 tff(14191,assumption,(~v119(constB107)), introduced(assumption)).
% 27.84/18.41 tff(14192,assumption,(~v90(constB107, 2)), introduced(assumption)).
% 27.84/18.41 tff(14193,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB107, 0)) | v90(constB107, 1) | v90(constB107, 2) | v120(constB107))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB107, 0)) | v90(constB107, 1) | v90(constB107, 2) | v120(constB107))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14194,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB107, 0)) | v90(constB107, 1) | v90(constB107, 2) | v120(constB107))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14195,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB107, 0)) | v90(constB107, 1) | v90(constB107, 2) | v120(constB107)),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14194, 14193])).
% 27.84/18.41 tff(14196,plain,
% 27.84/18.41 ((~v90(constB107, 0)) | v90(constB107, 1) | v90(constB107, 2)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14195, 679, 14190])).
% 27.84/18.41 tff(14197,plain,
% 27.84/18.41 (~v90(constB107, 0)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14196, 14192, 14189])).
% 27.84/18.41 tff(14198,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB107, 0) | v90(constB107, 1) | v90(constB107, 2) | v119(constB107))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB107, 0) | v90(constB107, 1) | v90(constB107, 2) | v119(constB107))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14199,plain,
% 27.84/18.41 ((v90(constB107, 0) | v119(constB107) | v90(constB107, 1) | v90(constB107, 2)) <=> (v90(constB107, 0) | v90(constB107, 1) | v90(constB107, 2) | v119(constB107))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14200,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB107, 0) | v119(constB107) | v90(constB107, 1) | v90(constB107, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB107, 0) | v90(constB107, 1) | v90(constB107, 2) | v119(constB107)))),
% 27.84/18.41 inference(monotonicity,[status(thm)],[14199])).
% 27.84/18.41 tff(14201,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB107, 0) | v119(constB107) | v90(constB107, 1) | v90(constB107, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB107, 0) | v90(constB107, 1) | v90(constB107, 2) | v119(constB107))),
% 27.84/18.41 inference(transitivity,[status(thm)],[14200, 14198])).
% 27.84/18.41 tff(14202,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB107, 0) | v119(constB107) | v90(constB107, 1) | v90(constB107, 2))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14203,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB107, 0) | v90(constB107, 1) | v90(constB107, 2) | v119(constB107)),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14202, 14201])).
% 27.84/18.41 tff(14204,plain,
% 27.84/18.41 (v90(constB107, 0) | v90(constB107, 1) | v90(constB107, 2)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14203, 233, 14191])).
% 27.84/18.41 tff(14205,plain,
% 27.84/18.41 ($false),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14204, 14197, 14192, 14189])).
% 27.84/18.41 tff(14206,plain,(v90(constB107, 2) | v90(constB107, 1) | v119(constB107) | v120(constB107)), inference(lemma,lemma(discharge,[]))).
% 27.84/18.41 tff(14207,plain,
% 27.84/18.41 (v90(constB107, 2)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14206, 14189, 14191, 14190])).
% 27.84/18.41 tff(14208,assumption,(~v124(constB107)), introduced(assumption)).
% 27.84/18.41 tff(14209,plain,
% 27.84/18.41 ((~v90(constB107, 0)) | v90(constB107, 1) | (~v90(constB107, 2))),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[13689, 1794, 14208])).
% 27.84/18.41 tff(14210,plain,
% 27.84/18.41 (~v90(constB107, 0)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14209, 14207, 14189])).
% 27.84/18.41 tff(14211,assumption,(~v123(constB107)), introduced(assumption)).
% 27.84/18.41 tff(14212,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB107, 0) | v90(constB107, 1) | (~v90(constB107, 2)) | v123(constB107))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB107, 0) | v90(constB107, 1) | (~v90(constB107, 2)) | v123(constB107))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14213,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB107, 0) | v90(constB107, 1) | (~v90(constB107, 2)) | v123(constB107))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14214,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB107, 0) | v90(constB107, 1) | (~v90(constB107, 2)) | v123(constB107)),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14213, 14212])).
% 27.84/18.41 tff(14215,plain,
% 27.84/18.41 (v90(constB107, 0) | v90(constB107, 1) | (~v90(constB107, 2))),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14214, 1565, 14211])).
% 27.84/18.41 tff(14216,plain,
% 27.84/18.41 ($false),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14215, 14210, 14207, 14189])).
% 27.84/18.41 tff(14217,plain,(v90(constB107, 1) | v123(constB107) | v124(constB107) | v119(constB107) | v120(constB107)), inference(lemma,lemma(discharge,[]))).
% 27.84/18.41 tff(14218,plain,
% 27.84/18.41 (v90(constB107, 1)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14217, 14188, 14180, 14041, 14040])).
% 27.84/18.41 tff(14219,assumption,(v90(constB107, 1)), introduced(assumption)).
% 27.84/18.41 tff(14220,assumption,(~v122(constB107)), introduced(assumption)).
% 27.84/18.41 tff(14221,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB107, 0)) | (~v90(constB107, 1)) | v90(constB107, 2) | v122(constB107))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB107, 0)) | (~v90(constB107, 1)) | v90(constB107, 2) | v122(constB107))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14222,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB107, 0)) | (~v90(constB107, 1)) | v90(constB107, 2) | v122(constB107))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14223,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB107, 0)) | (~v90(constB107, 1)) | v90(constB107, 2) | v122(constB107)),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14222, 14221])).
% 27.84/18.41 tff(14224,plain,
% 27.84/18.41 ((~v90(constB107, 0)) | (~v90(constB107, 1)) | v90(constB107, 2)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14223, 1260, 14220])).
% 27.84/18.41 tff(14225,plain,
% 27.84/18.41 (~v90(constB107, 0)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14224, 14192, 14219])).
% 27.84/18.41 tff(14226,assumption,(~v121(constB107)), introduced(assumption)).
% 27.84/18.41 tff(14227,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB107, 0) | (~v90(constB107, 1)) | v90(constB107, 2) | v121(constB107))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB107, 0) | (~v90(constB107, 1)) | v90(constB107, 2) | v121(constB107))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14228,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB107, 0) | (~v90(constB107, 1)) | v90(constB107, 2) | v121(constB107))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14229,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB107, 0) | (~v90(constB107, 1)) | v90(constB107, 2) | v121(constB107)),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14228, 14227])).
% 27.84/18.41 tff(14230,plain,
% 27.84/18.41 (v90(constB107, 0) | (~v90(constB107, 1)) | v90(constB107, 2)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14229, 993, 14226])).
% 27.84/18.41 tff(14231,plain,
% 27.84/18.41 ($false),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14230, 14225, 14192, 14219])).
% 27.84/18.41 tff(14232,plain,(v90(constB107, 2) | (~v90(constB107, 1)) | v121(constB107) | v122(constB107)), inference(lemma,lemma(discharge,[]))).
% 27.84/18.41 tff(14233,plain,
% 27.84/18.41 (v90(constB107, 2)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14232, 14218, 14033, 14019])).
% 27.84/18.41 tff(14234,plain,
% 27.84/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB107, 2)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB107, 2)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, 2))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14235,plain,
% 27.84/18.41 (((~nextState(constB107, constB108)) | (~v90(constB107, 2)) | v100(constB108) | v90(constB108, 2)) <=> ((~v90(constB107, 2)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, 2))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14236,plain,
% 27.84/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB107, constB108)) | (~v90(constB107, 2)) | v100(constB108) | v90(constB108, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB107, 2)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, 2)))),
% 27.84/18.41 inference(monotonicity,[status(thm)],[14235])).
% 27.84/18.41 tff(14237,plain,
% 27.84/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB107, constB108)) | (~v90(constB107, 2)) | v100(constB108) | v90(constB108, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB107, 2)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, 2))),
% 27.84/18.41 inference(transitivity,[status(thm)],[14236, 14234])).
% 27.84/18.41 tff(14238,plain,
% 27.84/18.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB107, constB108)) | (~v90(constB107, 2)) | v100(constB108) | v90(constB108, 2))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14239,plain,
% 27.84/18.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB107, 2)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, 2)),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14238, 14237])).
% 27.84/18.41 tff(14240,plain,
% 27.84/18.41 ((~v90(constB107, 2)) | v100(constB108) | v90(constB108, 2)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14239, 1546, 13733])).
% 27.84/18.41 tff(14241,plain,
% 27.84/18.41 (v90(constB108, 2)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14240, 14233, 13996])).
% 27.84/18.41 tff(14242,plain,
% 27.84/18.41 (v90(constB109, 2)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[13866, 14241])).
% 27.84/18.41 tff(14243,plain,
% 27.84/18.41 (~v121(constB109)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[13874, 2130, 14242])).
% 27.84/18.41 tff(14244,plain,
% 27.84/18.41 (~v122(constB109)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[13870, 2119, 14242])).
% 27.84/18.41 tff(14245,plain,
% 27.84/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB107, 1)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB107, 1)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, 1))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14246,plain,
% 27.84/18.41 (((~nextState(constB107, constB108)) | (~v90(constB107, 1)) | v100(constB108) | v90(constB108, 1)) <=> ((~v90(constB107, 1)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, 1))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14247,plain,
% 27.84/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB107, constB108)) | (~v90(constB107, 1)) | v100(constB108) | v90(constB108, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB107, 1)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, 1)))),
% 27.84/18.41 inference(monotonicity,[status(thm)],[14246])).
% 27.84/18.41 tff(14248,plain,
% 27.84/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB107, constB108)) | (~v90(constB107, 1)) | v100(constB108) | v90(constB108, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB107, 1)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, 1))),
% 27.84/18.41 inference(transitivity,[status(thm)],[14247, 14245])).
% 27.84/18.41 tff(14249,plain,
% 27.84/18.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB107, constB108)) | (~v90(constB107, 1)) | v100(constB108) | v90(constB108, 1))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14250,plain,
% 27.84/18.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB107, 1)) | (~nextState(constB107, constB108)) | v100(constB108) | v90(constB108, 1)),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14249, 14248])).
% 27.84/18.41 tff(14251,plain,
% 27.84/18.41 ((~v90(constB107, 1)) | v100(constB108) | v90(constB108, 1)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14250, 903, 13733])).
% 27.84/18.41 tff(14252,plain,
% 27.84/18.41 (v90(constB108, 1)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14251, 14218, 13996])).
% 27.84/18.41 tff(14253,plain,
% 27.84/18.41 (v90(constB109, 1)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[13819, 14252])).
% 27.84/18.41 tff(14254,plain,
% 27.84/18.41 (~v119(constB109)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[13823, 2086, 14253])).
% 27.84/18.41 tff(14255,plain,
% 27.84/18.41 (~v120(constB109)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[13835, 2141, 14253])).
% 27.84/18.41 tff(14256,plain,
% 27.84/18.41 (~v123(constB109)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[13827, 2108, 14253])).
% 27.84/18.41 tff(14257,plain,
% 27.84/18.41 (~v124(constB109)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[13831, 2097, 14253])).
% 27.84/18.41 tff(14258,plain,
% 27.84/18.41 (v100(constB110)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[13908, 14253, 13901])).
% 27.84/18.41 tff(14259,plain,
% 27.84/18.41 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB110, 0) | (~v129(constB110, 0)) | (~v100(constB110)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB110, 0) | (~v129(constB110, 0)) | (~v100(constB110)))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14260,plain,
% 27.84/18.41 ((v90(constB110, 0) | (~v100(constB110)) | (~v129(constB110, 0))) <=> (v90(constB110, 0) | (~v129(constB110, 0)) | (~v100(constB110)))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14261,plain,
% 27.84/18.41 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB110, 0) | (~v100(constB110)) | (~v129(constB110, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB110, 0) | (~v129(constB110, 0)) | (~v100(constB110))))),
% 27.84/18.41 inference(monotonicity,[status(thm)],[14260])).
% 27.84/18.41 tff(14262,plain,
% 27.84/18.41 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB110, 0) | (~v100(constB110)) | (~v129(constB110, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB110, 0) | (~v129(constB110, 0)) | (~v100(constB110)))),
% 27.84/18.41 inference(transitivity,[status(thm)],[14261, 14259])).
% 27.84/18.41 tff(14263,plain,
% 27.84/18.41 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB110, 0) | (~v100(constB110)) | (~v129(constB110, 0)))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14264,plain,
% 27.84/18.41 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB110, 0) | (~v129(constB110, 0)) | (~v100(constB110))),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14263, 14262])).
% 27.84/18.41 tff(14265,plain,
% 27.84/18.41 ((~v129(constB110, 0)) | (~v100(constB110))),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14264, 642, 13966])).
% 27.84/18.41 tff(14266,plain,
% 27.84/18.41 (~v129(constB110, 0)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14265, 14258])).
% 27.84/18.41 tff(14267,plain,
% 27.84/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB109, constB110)) | (~v127(constB109, 0)) | v129(constB110, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB109, constB110)) | (~v127(constB109, 0)) | v129(constB110, 0))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14268,plain,
% 27.84/18.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB109, constB110)) | (~v127(constB109, 0)) | v129(constB110, 0))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14269,plain,
% 27.84/18.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB109, constB110)) | (~v127(constB109, 0)) | v129(constB110, 0)),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14268, 14267])).
% 27.84/18.41 tff(14270,plain,
% 27.84/18.41 ((~v127(constB109, 0)) | v129(constB110, 0)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14269, 627, 13894])).
% 27.84/18.41 tff(14271,plain,
% 27.84/18.41 (~v127(constB109, 0)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14270, 14266])).
% 27.84/18.41 tff(14272,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB109) | (~v130(constB109, 0)) | v127(constB109, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB109) | (~v130(constB109, 0)) | v127(constB109, 0))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14273,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB109) | (~v130(constB109, 0)) | v127(constB109, 0))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14274,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB109) | (~v130(constB109, 0)) | v127(constB109, 0)),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14273, 14272])).
% 27.84/18.41 tff(14275,plain,
% 27.84/18.41 ((~v130(constB109, 0)) | v127(constB109, 0)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14274, 612, 13883])).
% 27.84/18.41 tff(14276,plain,
% 27.84/18.41 (~v130(constB109, 0)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14275, 14271])).
% 27.84/18.41 tff(14277,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, 0))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14278,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, 0))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14279,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, 0)),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14278, 14277])).
% 27.84/18.41 tff(14280,plain,
% 27.84/18.41 ($false),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14279, 2258, 14276, 14257, 14256, 14255, 14254, 14244, 14243])).
% 27.84/18.41 tff(14281,plain,(v108(constB107) | v90(constB110, 0) | v90(constB110, 1)), inference(lemma,lemma(discharge,[]))).
% 27.84/18.41 tff(14282,plain,
% 27.84/18.41 (v108(constB107)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14281, 13966, 13901])).
% 27.84/18.41 tff(14283,plain,
% 27.84/18.41 (v110(constB108)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[13740, 14282])).
% 27.84/18.41 tff(14284,plain,
% 27.84/18.41 (v100(constB108)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[13766, 14283])).
% 27.84/18.41 tff(14285,plain,
% 27.84/18.41 (v90(constB108, 0) | (~v129(constB108, 0))),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14148, 642, 14284])).
% 27.84/18.41 tff(14286,plain,
% 27.84/18.41 (~v129(constB108, 0)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14285, 13983])).
% 27.84/18.41 tff(14287,plain,
% 27.84/18.41 (~v127(constB107, 0)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14141, 14286])).
% 27.84/18.41 tff(14288,plain,
% 27.84/18.41 (~v130(constB107, 0)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14136, 14287])).
% 27.84/18.41 tff(14289,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB107)) | v130(constB107, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB107)) | v130(constB107, 0))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14290,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB107)) | v130(constB107, 0))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14291,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB107)) | v130(constB107, 0)),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14290, 14289])).
% 27.84/18.41 tff(14292,plain,
% 27.84/18.41 (~v121(constB107)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14291, 1099, 14288])).
% 27.84/18.41 tff(14293,plain,
% 27.84/18.41 (~v90(constB109, 1)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[13908, 13900, 13901])).
% 27.84/18.41 tff(14294,plain,
% 27.84/18.41 (~v90(constB108, 1)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[13819, 14293])).
% 27.84/18.41 tff(14295,plain,
% 27.84/18.41 (v90(constB108, 1) | (~v129(constB108, 1))),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[13791, 885, 14284])).
% 27.84/18.41 tff(14296,plain,
% 27.84/18.41 (~v129(constB108, 1)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14295, 14294])).
% 27.84/18.41 tff(14297,plain,
% 27.84/18.41 (~v127(constB107, 1)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[13784, 14296])).
% 27.84/18.41 tff(14298,plain,
% 27.84/18.41 (~v130(constB107, 1)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[13779, 14297])).
% 27.84/18.41 tff(14299,plain,
% 27.84/18.41 (~v124(constB107)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[13770, 1929, 14298])).
% 27.84/18.41 tff(14300,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB107)) | v130(constB107, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB107)) | v130(constB107, 0))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14301,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB107)) | v130(constB107, 0))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14302,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB107)) | v130(constB107, 0)),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14301, 14300])).
% 27.84/18.41 tff(14303,plain,
% 27.84/18.41 (~v123(constB107)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14302, 1753, 14288])).
% 27.84/18.41 tff(14304,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB107)) | v130(constB107, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB107)) | v130(constB107, 1))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14305,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB107)) | v130(constB107, 1))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14306,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB107)) | v130(constB107, 1)),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14305, 14304])).
% 27.84/18.41 tff(14307,plain,
% 27.84/18.41 (~v120(constB107)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14306, 841, 14298])).
% 27.84/18.41 tff(14308,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB107) | v120(constB107) | v121(constB107) | v122(constB107) | v123(constB107) | v124(constB107) | v130(constB107, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB107) | v120(constB107) | v121(constB107) | v122(constB107) | v123(constB107) | v124(constB107) | v130(constB107, 0))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14309,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB107) | v120(constB107) | v121(constB107) | v122(constB107) | v123(constB107) | v124(constB107) | v130(constB107, 0))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14310,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB107) | v120(constB107) | v121(constB107) | v122(constB107) | v123(constB107) | v124(constB107) | v130(constB107, 0)),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14309, 14308])).
% 27.84/18.41 tff(14311,plain,
% 27.84/18.41 (v120(constB107) | v121(constB107) | v122(constB107) | v123(constB107) | v124(constB107) | v130(constB107, 0)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14310, 2258, 14180])).
% 27.84/18.41 tff(14312,plain,
% 27.84/18.41 (v122(constB107)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14311, 14307, 14288, 14303, 14299, 14292])).
% 27.84/18.41 tff(14313,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB107)) | v130(constB107, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB107)) | v130(constB107, 2))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14314,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB107)) | v130(constB107, 2))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14315,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB107)) | v130(constB107, 2)),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14314, 14313])).
% 27.84/18.41 tff(14316,plain,
% 27.84/18.41 (v130(constB107, 2)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14315, 1484, 14312])).
% 27.84/18.41 tff(14317,plain,
% 27.84/18.41 (v127(constB107, 2)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[13844, 14316])).
% 27.84/18.41 tff(14318,plain,
% 27.84/18.41 (v129(constB108, 2)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[13849, 14317])).
% 27.84/18.41 tff(14319,plain,
% 27.84/18.41 (v90(constB108, 2) | (~v129(constB108, 2))),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[13856, 1528, 14284])).
% 27.84/18.41 tff(14320,plain,
% 27.84/18.41 (v90(constB108, 2)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14319, 14318])).
% 27.84/18.41 tff(14321,plain,
% 27.84/18.41 (v90(constB109, 2)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[13866, 14320])).
% 27.84/18.41 tff(14322,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB109, 0) | v90(constB109, 1) | (~v90(constB109, 2)) | v123(constB109))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB109, 0) | v90(constB109, 1) | (~v90(constB109, 2)) | v123(constB109))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14323,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB109, 0) | v90(constB109, 1) | (~v90(constB109, 2)) | v123(constB109))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14324,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB109, 0) | v90(constB109, 1) | (~v90(constB109, 2)) | v123(constB109)),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14323, 14322])).
% 27.84/18.41 tff(14325,plain,
% 27.84/18.41 ((~v90(constB109, 2)) | v123(constB109)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14324, 1565, 13974, 14293])).
% 27.84/18.41 tff(14326,plain,
% 27.84/18.41 (v123(constB109)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14325, 14321])).
% 27.84/18.41 tff(14327,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB109)) | v115(constB109))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB109)) | v115(constB109))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14328,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB109)) | v115(constB109))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14329,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB109)) | v115(constB109)),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14328, 14327])).
% 27.84/18.41 tff(14330,plain,
% 27.84/18.41 (v115(constB109)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14329, 1579, 14326])).
% 27.84/18.41 tff(14331,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB109) | (~v115(constB109)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB109) | (~v115(constB109)))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14332,plain,
% 27.84/18.41 (((~v115(constB109)) | v114(constB109)) <=> (v114(constB109) | (~v115(constB109)))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14333,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB109)) | v114(constB109))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB109) | (~v115(constB109))))),
% 27.84/18.41 inference(monotonicity,[status(thm)],[14332])).
% 27.84/18.41 tff(14334,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB109)) | v114(constB109))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB109) | (~v115(constB109)))),
% 27.84/18.41 inference(transitivity,[status(thm)],[14333, 14331])).
% 27.84/18.41 tff(14335,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB109)) | v114(constB109))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14336,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB109) | (~v115(constB109))),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14335, 14334])).
% 27.84/18.41 tff(14337,plain,
% 27.84/18.41 ($false),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14336, 300, 14330, 13965])).
% 27.84/18.41 tff(14338,plain,(v100(constB110) | v90(constB110, 1) | v90(constB110, 0)), inference(lemma,lemma(discharge,[]))).
% 27.84/18.41 tff(14339,plain,
% 27.84/18.41 (v90(constB110, 0)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14338, 13901, 13900])).
% 27.84/18.41 tff(14340,plain,
% 27.84/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB109, 0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB109, 0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, 0)))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14341,plain,
% 27.84/18.41 (((~nextState(constB109, constB110)) | v90(constB109, 0) | v100(constB110) | (~v90(constB110, 0))) <=> (v90(constB109, 0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, 0)))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14342,plain,
% 27.84/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB109, constB110)) | v90(constB109, 0) | v100(constB110) | (~v90(constB110, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB109, 0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, 0))))),
% 27.84/18.41 inference(monotonicity,[status(thm)],[14341])).
% 27.84/18.41 tff(14343,plain,
% 27.84/18.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB109, constB110)) | v90(constB109, 0) | v100(constB110) | (~v90(constB110, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB109, 0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, 0)))),
% 27.84/18.41 inference(transitivity,[status(thm)],[14342, 14340])).
% 27.84/18.41 tff(14344,plain,
% 27.84/18.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB109, constB110)) | v90(constB109, 0) | v100(constB110) | (~v90(constB110, 0)))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14345,plain,
% 27.84/18.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB109, 0) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, 0))),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14344, 14343])).
% 27.84/18.41 tff(14346,plain,
% 27.84/18.41 (v90(constB109, 0) | v100(constB110) | (~v90(constB110, 0))),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14345, 212, 13894])).
% 27.84/18.41 tff(14347,plain,
% 27.84/18.41 (v90(constB109, 0)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14346, 14339, 13900])).
% 27.84/18.41 tff(14348,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB109) | (~v124(constB109)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB109) | (~v124(constB109)))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14349,plain,
% 27.84/18.41 (((~v124(constB109)) | v114(constB109)) <=> (v114(constB109) | (~v124(constB109)))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14350,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB109)) | v114(constB109))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB109) | (~v124(constB109))))),
% 27.84/18.41 inference(monotonicity,[status(thm)],[14349])).
% 27.84/18.41 tff(14351,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB109)) | v114(constB109))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB109) | (~v124(constB109)))),
% 27.84/18.41 inference(transitivity,[status(thm)],[14350, 14348])).
% 27.84/18.41 tff(14352,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB109)) | v114(constB109))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14353,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB109) | (~v124(constB109))),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14352, 14351])).
% 27.84/18.41 tff(14354,plain,
% 27.84/18.41 (~v124(constB109)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14353, 1805, 13965])).
% 27.84/18.41 tff(14355,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB109, 0)) | v90(constB109, 1) | (~v90(constB109, 2)) | v124(constB109))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB109, 0)) | v90(constB109, 1) | (~v90(constB109, 2)) | v124(constB109))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14356,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB109, 0)) | v90(constB109, 1) | (~v90(constB109, 2)) | v124(constB109))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14357,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB109, 0)) | v90(constB109, 1) | (~v90(constB109, 2)) | v124(constB109)),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14356, 14355])).
% 27.84/18.41 tff(14358,plain,
% 27.84/18.41 ((~v90(constB109, 0)) | v90(constB109, 1) | (~v90(constB109, 2))),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14357, 1794, 14354])).
% 27.84/18.41 tff(14359,plain,
% 27.84/18.41 (~v90(constB109, 2)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14358, 14347, 13909])).
% 27.84/18.41 tff(14360,plain,
% 27.84/18.41 (~v115(constB109)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14336, 300, 13965])).
% 27.84/18.41 tff(14361,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB109)) | v115(constB109))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB109)) | v115(constB109))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14362,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB109)) | v115(constB109))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14363,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB109)) | v115(constB109)),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14362, 14361])).
% 27.84/18.41 tff(14364,plain,
% 27.84/18.41 (~v116(constB109)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14363, 286, 14360])).
% 27.84/18.41 tff(14365,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB109) | (~v117(constB109)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB109) | (~v117(constB109)))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14366,plain,
% 27.84/18.41 (((~v117(constB109)) | v116(constB109)) <=> (v116(constB109) | (~v117(constB109)))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14367,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB109)) | v116(constB109))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB109) | (~v117(constB109))))),
% 27.84/18.41 inference(monotonicity,[status(thm)],[14366])).
% 27.84/18.41 tff(14368,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB109)) | v116(constB109))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB109) | (~v117(constB109)))),
% 27.84/18.41 inference(transitivity,[status(thm)],[14367, 14365])).
% 27.84/18.41 tff(14369,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB109)) | v116(constB109))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14370,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB109) | (~v117(constB109))),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14369, 14368])).
% 27.84/18.41 tff(14371,plain,
% 27.84/18.41 (~v117(constB109)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14370, 272, 14364])).
% 27.84/18.41 tff(14372,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB109) | (~v118(constB109)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB109) | (~v118(constB109)))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14373,plain,
% 27.84/18.41 (((~v118(constB109)) | v117(constB109)) <=> (v117(constB109) | (~v118(constB109)))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14374,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB109)) | v117(constB109))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB109) | (~v118(constB109))))),
% 27.84/18.41 inference(monotonicity,[status(thm)],[14373])).
% 27.84/18.41 tff(14375,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB109)) | v117(constB109))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB109) | (~v118(constB109)))),
% 27.84/18.41 inference(transitivity,[status(thm)],[14374, 14372])).
% 27.84/18.41 tff(14376,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB109)) | v117(constB109))),
% 27.84/18.41 inference(quant_inst,[status(thm)],[])).
% 27.84/18.41 tff(14377,plain,
% 27.84/18.41 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB109) | (~v118(constB109))),
% 27.84/18.41 inference(modus_ponens,[status(thm)],[14376, 14375])).
% 27.84/18.41 tff(14378,plain,
% 27.84/18.41 (~v118(constB109)),
% 27.84/18.41 inference(unit_resolution,[status(thm)],[14377, 258, 14371])).
% 27.84/18.41 tff(14379,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB109) | (~v120(constB109)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB109) | (~v120(constB109)))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14380,plain,
% 27.84/18.41 (((~v120(constB109)) | v118(constB109)) <=> (v118(constB109) | (~v120(constB109)))),
% 27.84/18.41 inference(rewrite,[status(thm)],[])).
% 27.84/18.41 tff(14381,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB109)) | v118(constB109))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB109) | (~v120(constB109))))),
% 27.84/18.41 inference(monotonicity,[status(thm)],[14380])).
% 27.84/18.41 tff(14382,plain,
% 27.84/18.41 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB109)) | v118(constB109))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB109) | (~v120(constB109)))),
% 27.84/18.42 inference(transitivity,[status(thm)],[14381, 14379])).
% 27.84/18.42 tff(14383,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB109)) | v118(constB109))),
% 27.84/18.42 inference(quant_inst,[status(thm)],[])).
% 27.84/18.42 tff(14384,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB109) | (~v120(constB109))),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14383, 14382])).
% 27.84/18.42 tff(14385,plain,
% 27.84/18.42 (~v120(constB109)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14384, 690, 14378])).
% 27.84/18.42 tff(14386,plain,
% 27.84/18.42 ((~v90(constB109, 0)) | v90(constB109, 1) | v90(constB109, 2)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14154, 679, 14385])).
% 27.84/18.42 tff(14387,plain,
% 27.84/18.42 ($false),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14386, 14359, 14347, 13909])).
% 27.84/18.42 tff(14388,plain,(v90(constB110, 1) | v100(constB110)), inference(lemma,lemma(discharge,[]))).
% 27.84/18.42 tff(14389,plain,
% 27.84/18.42 (v90(constB110, 1)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14388, 13900])).
% 27.84/18.42 tff(14390,plain,
% 27.84/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB109, 1) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB109, 1) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, 1)))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14391,plain,
% 27.84/18.42 (((~nextState(constB109, constB110)) | v90(constB109, 1) | v100(constB110) | (~v90(constB110, 1))) <=> (v90(constB109, 1) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, 1)))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14392,plain,
% 27.84/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB109, constB110)) | v90(constB109, 1) | v100(constB110) | (~v90(constB110, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB109, 1) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, 1))))),
% 27.84/18.42 inference(monotonicity,[status(thm)],[14391])).
% 27.84/18.42 tff(14393,plain,
% 27.84/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB109, constB110)) | v90(constB109, 1) | v100(constB110) | (~v90(constB110, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB109, 1) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, 1)))),
% 27.84/18.42 inference(transitivity,[status(thm)],[14392, 14390])).
% 27.84/18.42 tff(14394,plain,
% 27.84/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB109, constB110)) | v90(constB109, 1) | v100(constB110) | (~v90(constB110, 1)))),
% 27.84/18.42 inference(quant_inst,[status(thm)],[])).
% 27.84/18.42 tff(14395,plain,
% 27.84/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB109, 1) | (~nextState(constB109, constB110)) | v100(constB110) | (~v90(constB110, 1))),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14394, 14393])).
% 27.84/18.42 tff(14396,plain,
% 27.84/18.42 (v90(constB109, 1) | v100(constB110) | (~v90(constB110, 1))),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14395, 191, 13894])).
% 27.84/18.42 tff(14397,plain,
% 27.84/18.42 (v90(constB109, 1)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14396, 14389, 13900])).
% 27.84/18.42 tff(14398,plain,
% 27.84/18.42 (v90(constB108, 1)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14127, 14397])).
% 27.84/18.42 tff(14399,assumption,(v100(constB108)), introduced(assumption)).
% 27.84/18.42 tff(14400,plain,
% 27.84/18.42 ((~v90(constB108, 1)) | v129(constB108, 1)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14117, 574, 14399])).
% 27.84/18.42 tff(14401,plain,
% 27.84/18.42 (v129(constB108, 1)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14400, 14398])).
% 27.84/18.42 tff(14402,plain,
% 27.84/18.42 (v127(constB107, 1)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14110, 14401])).
% 27.84/18.42 tff(14403,plain,
% 27.84/18.42 (v130(constB107, 1)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14105, 14402])).
% 27.84/18.42 tff(14404,plain,
% 27.84/18.42 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB107)) | (~v130(constB107, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB107)) | (~v130(constB107, 1)))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14405,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB107)) | (~v130(constB107, 1)))),
% 27.84/18.42 inference(quant_inst,[status(thm)],[])).
% 27.84/18.42 tff(14406,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB107)) | (~v130(constB107, 1))),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14405, 14404])).
% 27.84/18.42 tff(14407,plain,
% 27.84/18.42 (~v122(constB107)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14406, 1424, 14403])).
% 27.84/18.42 tff(14408,plain,
% 27.84/18.42 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB109)) | v116(constB109))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB109)) | v116(constB109))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14409,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB109)) | v116(constB109))),
% 27.84/18.42 inference(quant_inst,[status(thm)],[])).
% 27.84/18.42 tff(14410,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB109)) | v116(constB109)),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14409, 14408])).
% 27.84/18.42 tff(14411,plain,
% 27.84/18.42 (~v122(constB109)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14410, 1272, 14364])).
% 27.84/18.42 tff(14412,plain,
% 27.84/18.42 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB109)) | v117(constB109))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB109)) | v117(constB109))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14413,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB109)) | v117(constB109))),
% 27.84/18.42 inference(quant_inst,[status(thm)],[])).
% 27.84/18.42 tff(14414,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB109)) | v117(constB109)),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14413, 14412])).
% 27.84/18.42 tff(14415,plain,
% 27.84/18.42 (~v121(constB109)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14414, 1004, 14371])).
% 27.84/18.42 tff(14416,assumption,(v90(constB109, 1)), introduced(assumption)).
% 27.84/18.42 tff(14417,assumption,(~v90(constB109, 2)), introduced(assumption)).
% 27.84/18.42 tff(14418,assumption,(~v122(constB109)), introduced(assumption)).
% 27.84/18.42 tff(14419,plain,
% 27.84/18.42 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB109, 0)) | (~v90(constB109, 1)) | v90(constB109, 2) | v122(constB109))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB109, 0)) | (~v90(constB109, 1)) | v90(constB109, 2) | v122(constB109))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14420,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB109, 0)) | (~v90(constB109, 1)) | v90(constB109, 2) | v122(constB109))),
% 27.84/18.42 inference(quant_inst,[status(thm)],[])).
% 27.84/18.42 tff(14421,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB109, 0)) | (~v90(constB109, 1)) | v90(constB109, 2) | v122(constB109)),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14420, 14419])).
% 27.84/18.42 tff(14422,plain,
% 27.84/18.42 ((~v90(constB109, 0)) | (~v90(constB109, 1)) | v90(constB109, 2)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14421, 1260, 14418])).
% 27.84/18.42 tff(14423,plain,
% 27.84/18.42 (~v90(constB109, 0)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14422, 14417, 14416])).
% 27.84/18.42 tff(14424,assumption,(~v121(constB109)), introduced(assumption)).
% 27.84/18.42 tff(14425,plain,
% 27.84/18.42 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB109, 0) | (~v90(constB109, 1)) | v90(constB109, 2) | v121(constB109))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB109, 0) | (~v90(constB109, 1)) | v90(constB109, 2) | v121(constB109))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14426,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB109, 0) | (~v90(constB109, 1)) | v90(constB109, 2) | v121(constB109))),
% 27.84/18.42 inference(quant_inst,[status(thm)],[])).
% 27.84/18.42 tff(14427,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB109, 0) | (~v90(constB109, 1)) | v90(constB109, 2) | v121(constB109)),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14426, 14425])).
% 27.84/18.42 tff(14428,plain,
% 27.84/18.42 (v90(constB109, 0) | (~v90(constB109, 1)) | v90(constB109, 2)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14427, 993, 14424])).
% 27.84/18.42 tff(14429,plain,
% 27.84/18.42 ($false),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14428, 14423, 14417, 14416])).
% 27.84/18.42 tff(14430,plain,(v90(constB109, 2) | (~v90(constB109, 1)) | v121(constB109) | v122(constB109)), inference(lemma,lemma(discharge,[]))).
% 27.84/18.42 tff(14431,plain,
% 27.84/18.42 (v90(constB109, 2)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14430, 14397, 14415, 14411])).
% 27.84/18.42 tff(14432,plain,
% 27.84/18.42 (v90(constB108, 2)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14093, 14431])).
% 27.84/18.42 tff(14433,plain,
% 27.84/18.42 ((~v90(constB108, 2)) | v129(constB108, 2)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14083, 488, 14399])).
% 27.84/18.42 tff(14434,plain,
% 27.84/18.42 (v129(constB108, 2)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14433, 14432])).
% 27.84/18.42 tff(14435,plain,
% 27.84/18.42 (v127(constB107, 2)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14079, 14434])).
% 27.84/18.42 tff(14436,plain,
% 27.84/18.42 (v130(constB107, 2)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14074, 14435])).
% 27.84/18.42 tff(14437,plain,
% 27.84/18.42 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB107)) | (~v130(constB107, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB107)) | (~v130(constB107, 2)))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14438,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB107)) | (~v130(constB107, 2)))),
% 27.84/18.42 inference(quant_inst,[status(thm)],[])).
% 27.84/18.42 tff(14439,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB107)) | (~v130(constB107, 2))),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14438, 14437])).
% 27.84/18.42 tff(14440,plain,
% 27.84/18.42 (~v121(constB107)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14439, 1155, 14436])).
% 27.84/18.42 tff(14441,plain,
% 27.84/18.42 (~v119(constB107)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14097, 527, 14403])).
% 27.84/18.42 tff(14442,plain,
% 27.84/18.42 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB107)) | (~v130(constB107, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB107)) | (~v130(constB107, 1)))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14443,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB107)) | (~v130(constB107, 1)))),
% 27.84/18.42 inference(quant_inst,[status(thm)],[])).
% 27.84/18.42 tff(14444,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB107)) | (~v130(constB107, 1))),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14443, 14442])).
% 27.84/18.42 tff(14445,plain,
% 27.84/18.42 (~v123(constB107)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14444, 1712, 14403])).
% 27.84/18.42 tff(14446,plain,
% 27.84/18.42 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB107)) | (~v130(constB107, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB107)) | (~v130(constB107, 2)))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14447,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB107)) | (~v130(constB107, 2)))),
% 27.84/18.42 inference(quant_inst,[status(thm)],[])).
% 27.84/18.42 tff(14448,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB107)) | (~v130(constB107, 2))),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14447, 14446])).
% 27.84/18.42 tff(14449,plain,
% 27.84/18.42 (~v120(constB107)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14448, 785, 14436])).
% 27.84/18.42 tff(14450,plain,
% 27.84/18.42 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB109) | (~v125(constB109)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB109) | (~v125(constB109)))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14451,plain,
% 27.84/18.42 (((~v125(constB109)) | v113(constB109)) <=> (v113(constB109) | (~v125(constB109)))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14452,plain,
% 27.84/18.42 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB109)) | v113(constB109))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB109) | (~v125(constB109))))),
% 27.84/18.42 inference(monotonicity,[status(thm)],[14451])).
% 27.84/18.42 tff(14453,plain,
% 27.84/18.42 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB109)) | v113(constB109))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB109) | (~v125(constB109)))),
% 27.84/18.42 inference(transitivity,[status(thm)],[14452, 14450])).
% 27.84/18.42 tff(14454,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB109)) | v113(constB109))),
% 27.84/18.42 inference(quant_inst,[status(thm)],[])).
% 27.84/18.42 tff(14455,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB109) | (~v125(constB109))),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14454, 14453])).
% 27.84/18.42 tff(14456,plain,
% 27.84/18.42 (~v125(constB109)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14455, 2022, 13958])).
% 27.84/18.42 tff(14457,plain,
% 27.84/18.42 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB109, 0) | (~v90(constB109, 1)) | (~v90(constB109, 2)) | v125(constB109))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB109, 0) | (~v90(constB109, 1)) | (~v90(constB109, 2)) | v125(constB109))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14458,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB109, 0) | (~v90(constB109, 1)) | (~v90(constB109, 2)) | v125(constB109))),
% 27.84/18.42 inference(quant_inst,[status(thm)],[])).
% 27.84/18.42 tff(14459,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB109, 0) | (~v90(constB109, 1)) | (~v90(constB109, 2)) | v125(constB109)),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14458, 14457])).
% 27.84/18.42 tff(14460,plain,
% 27.84/18.42 (v90(constB109, 0) | (~v90(constB109, 1)) | (~v90(constB109, 2))),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14459, 2011, 14456])).
% 27.84/18.42 tff(14461,plain,
% 27.84/18.42 (v90(constB109, 0)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14460, 14431, 14397])).
% 27.84/18.42 tff(14462,plain,
% 27.84/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB108, 0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB108, 0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 0)))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14463,plain,
% 27.84/18.42 (((~nextState(constB108, constB109)) | v90(constB108, 0) | v100(constB109) | (~v90(constB109, 0))) <=> (v90(constB108, 0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 0)))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14464,plain,
% 27.84/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB108, constB109)) | v90(constB108, 0) | v100(constB109) | (~v90(constB109, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB108, 0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 0))))),
% 27.84/18.42 inference(monotonicity,[status(thm)],[14463])).
% 27.84/18.42 tff(14465,plain,
% 27.84/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB108, constB109)) | v90(constB108, 0) | v100(constB109) | (~v90(constB109, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB108, 0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 0)))),
% 27.84/18.42 inference(transitivity,[status(thm)],[14464, 14462])).
% 27.84/18.42 tff(14466,plain,
% 27.84/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB108, constB109)) | v90(constB108, 0) | v100(constB109) | (~v90(constB109, 0)))),
% 27.84/18.42 inference(quant_inst,[status(thm)],[])).
% 27.84/18.42 tff(14467,plain,
% 27.84/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB108, 0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 0))),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14466, 14465])).
% 27.84/18.42 tff(14468,plain,
% 27.84/18.42 (v90(constB108, 0) | v100(constB109) | (~v90(constB109, 0))),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14467, 212, 13799])).
% 27.84/18.42 tff(14469,plain,
% 27.84/18.42 (v90(constB108, 0) | (~v90(constB109, 0))),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14468, 13811])).
% 27.84/18.42 tff(14470,plain,
% 27.84/18.42 (v90(constB108, 0)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14469, 14461])).
% 27.84/18.42 tff(14471,plain,
% 27.84/18.42 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB108, 0)) | v129(constB108, 0) | (~v100(constB108)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB108, 0)) | v129(constB108, 0) | (~v100(constB108)))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14472,plain,
% 27.84/18.42 (((~v90(constB108, 0)) | (~v100(constB108)) | v129(constB108, 0)) <=> ((~v90(constB108, 0)) | v129(constB108, 0) | (~v100(constB108)))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14473,plain,
% 27.84/18.42 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB108, 0)) | (~v100(constB108)) | v129(constB108, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB108, 0)) | v129(constB108, 0) | (~v100(constB108))))),
% 27.84/18.42 inference(monotonicity,[status(thm)],[14472])).
% 27.84/18.42 tff(14474,plain,
% 27.84/18.42 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB108, 0)) | (~v100(constB108)) | v129(constB108, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB108, 0)) | v129(constB108, 0) | (~v100(constB108)))),
% 27.84/18.42 inference(transitivity,[status(thm)],[14473, 14471])).
% 27.84/18.42 tff(14475,plain,
% 27.84/18.42 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB108, 0)) | (~v100(constB108)) | v129(constB108, 0))),
% 27.84/18.42 inference(quant_inst,[status(thm)],[])).
% 27.84/18.42 tff(14476,plain,
% 27.84/18.42 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB108, 0)) | v129(constB108, 0) | (~v100(constB108))),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14475, 14474])).
% 27.84/18.42 tff(14477,plain,
% 27.84/18.42 ((~v90(constB108, 0)) | v129(constB108, 0)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14476, 966, 14399])).
% 27.84/18.42 tff(14478,plain,
% 27.84/18.42 (v129(constB108, 0)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14477, 14470])).
% 27.84/18.42 tff(14479,plain,
% 27.84/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB107, constB108)) | v127(constB107, 0) | (~v129(constB108, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB107, constB108)) | v127(constB107, 0) | (~v129(constB108, 0)))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14480,plain,
% 27.84/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB107, constB108)) | v127(constB107, 0) | (~v129(constB108, 0)))),
% 27.84/18.42 inference(quant_inst,[status(thm)],[])).
% 27.84/18.42 tff(14481,plain,
% 27.84/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB107, constB108)) | v127(constB107, 0) | (~v129(constB108, 0))),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14480, 14479])).
% 27.84/18.42 tff(14482,plain,
% 27.84/18.42 (v127(constB107, 0) | (~v129(constB108, 0))),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14481, 951, 13733])).
% 27.84/18.42 tff(14483,plain,
% 27.84/18.42 (v127(constB107, 0)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14482, 14478])).
% 27.84/18.42 tff(14484,plain,
% 27.84/18.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB107, 0)) | v26(constB107) | v130(constB107, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB107, 0)) | v26(constB107) | v130(constB107, 0))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14485,plain,
% 27.84/18.42 ((v26(constB107) | v130(constB107, 0) | (~v127(constB107, 0))) <=> ((~v127(constB107, 0)) | v26(constB107) | v130(constB107, 0))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14486,plain,
% 27.84/18.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB107) | v130(constB107, 0) | (~v127(constB107, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB107, 0)) | v26(constB107) | v130(constB107, 0)))),
% 27.84/18.42 inference(monotonicity,[status(thm)],[14485])).
% 27.84/18.42 tff(14487,plain,
% 27.84/18.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB107) | v130(constB107, 0) | (~v127(constB107, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB107, 0)) | v26(constB107) | v130(constB107, 0))),
% 27.84/18.42 inference(transitivity,[status(thm)],[14486, 14484])).
% 27.84/18.42 tff(14488,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB107) | v130(constB107, 0) | (~v127(constB107, 0)))),
% 27.84/18.42 inference(quant_inst,[status(thm)],[])).
% 27.84/18.42 tff(14489,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB107, 0)) | v26(constB107) | v130(constB107, 0)),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14488, 14487])).
% 27.84/18.42 tff(14490,plain,
% 27.84/18.42 ((~v127(constB107, 0)) | v130(constB107, 0)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14489, 933, 13775])).
% 27.84/18.42 tff(14491,plain,
% 27.84/18.42 (v130(constB107, 0)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14490, 14483])).
% 27.84/18.42 tff(14492,plain,
% 27.84/18.42 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB107)) | (~v130(constB107, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB107)) | (~v130(constB107, 0)))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14493,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB107)) | (~v130(constB107, 0)))),
% 27.84/18.42 inference(quant_inst,[status(thm)],[])).
% 27.84/18.42 tff(14494,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB107)) | (~v130(constB107, 0))),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14493, 14492])).
% 27.84/18.42 tff(14495,plain,
% 27.84/18.42 (~v124(constB107)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14494, 1967, 14491])).
% 27.84/18.42 tff(14496,plain,
% 27.84/18.42 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB107) | v120(constB107) | v121(constB107) | v122(constB107) | v123(constB107) | v124(constB107) | (~v130(constB107, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB107) | v120(constB107) | v121(constB107) | v122(constB107) | v123(constB107) | v124(constB107) | (~v130(constB107, 1)))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14497,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB107) | v120(constB107) | v121(constB107) | v122(constB107) | v123(constB107) | v124(constB107) | (~v130(constB107, 1)))),
% 27.84/18.42 inference(quant_inst,[status(thm)],[])).
% 27.84/18.42 tff(14498,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB107) | v120(constB107) | v121(constB107) | v122(constB107) | v123(constB107) | v124(constB107) | (~v130(constB107, 1))),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14497, 14496])).
% 27.84/18.42 tff(14499,plain,
% 27.84/18.42 (v119(constB107) | v120(constB107) | v121(constB107) | v122(constB107) | v123(constB107) | v124(constB107)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14498, 2214, 14403])).
% 27.84/18.42 tff(14500,plain,
% 27.84/18.42 ($false),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14499, 14495, 14449, 14445, 14441, 14440, 14407])).
% 27.84/18.42 tff(14501,plain,(v100(constB110) | (~v100(constB108))), inference(lemma,lemma(discharge,[]))).
% 27.84/18.42 tff(14502,plain,
% 27.84/18.42 (v100(constB110)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14501, 13767])).
% 27.84/18.42 tff(14503,plain,
% 27.84/18.42 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB110, 1)) | v129(constB110, 1) | (~v100(constB110)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB110, 1)) | v129(constB110, 1) | (~v100(constB110)))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14504,plain,
% 27.84/18.42 (((~v90(constB110, 1)) | (~v100(constB110)) | v129(constB110, 1)) <=> ((~v90(constB110, 1)) | v129(constB110, 1) | (~v100(constB110)))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14505,plain,
% 27.84/18.42 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB110, 1)) | (~v100(constB110)) | v129(constB110, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB110, 1)) | v129(constB110, 1) | (~v100(constB110))))),
% 27.84/18.42 inference(monotonicity,[status(thm)],[14504])).
% 27.84/18.42 tff(14506,plain,
% 27.84/18.42 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB110, 1)) | (~v100(constB110)) | v129(constB110, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB110, 1)) | v129(constB110, 1) | (~v100(constB110)))),
% 27.84/18.42 inference(transitivity,[status(thm)],[14505, 14503])).
% 27.84/18.42 tff(14507,plain,
% 27.84/18.42 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB110, 1)) | (~v100(constB110)) | v129(constB110, 1))),
% 27.84/18.42 inference(quant_inst,[status(thm)],[])).
% 27.84/18.42 tff(14508,plain,
% 27.84/18.42 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB110, 1)) | v129(constB110, 1) | (~v100(constB110))),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14507, 14506])).
% 27.84/18.42 tff(14509,plain,
% 27.84/18.42 ((~v90(constB110, 1)) | v129(constB110, 1)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14508, 574, 14502])).
% 27.84/18.42 tff(14510,plain,
% 27.84/18.42 (~v90(constB110, 1)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14509, 13899])).
% 27.84/18.42 tff(14511,plain,
% 27.84/18.42 ((~v1(constB111)) <=> (~v1(constB111))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14512,axiom,(~v1(constB111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_111_1_1')).
% 27.84/18.42 tff(14513,plain,
% 27.84/18.42 (~v1(constB111)),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14512, 14511])).
% 27.84/18.42 tff(14514,plain,
% 27.84/18.42 (nextState(constB110, constB111) <=> nextState(constB110, constB111)),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14515,axiom,(nextState(constB110, constB111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_110_1')).
% 27.84/18.42 tff(14516,plain,
% 27.84/18.42 (nextState(constB110, constB111)),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14515, 14514])).
% 27.84/18.42 tff(14517,plain,
% 27.84/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14518,plain,
% 27.84/18.42 (((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111)) <=> (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14519,plain,
% 27.84/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111))))),
% 27.84/18.42 inference(monotonicity,[status(thm)],[14518])).
% 27.84/18.42 tff(14520,plain,
% 27.84/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 27.84/18.42 inference(transitivity,[status(thm)],[14519, 14517])).
% 27.84/18.42 tff(14521,plain,
% 27.84/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))),
% 27.84/18.42 inference(quant_inst,[status(thm)],[])).
% 27.84/18.42 tff(14522,plain,
% 27.84/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111))),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14521, 14520])).
% 27.84/18.42 tff(14523,plain,
% 27.84/18.42 (~v101(constB111)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14522, 138, 14516, 14513])).
% 27.84/18.42 tff(14524,plain,
% 27.84/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14525,plain,
% 27.84/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))),
% 27.84/18.42 inference(quant_inst,[status(thm)],[])).
% 27.84/18.42 tff(14526,plain,
% 27.84/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111))),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14525, 14524])).
% 27.84/18.42 tff(14527,plain,
% 27.84/18.42 (v101(constB111) | (~v100(constB111))),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14526, 155, 14516])).
% 27.84/18.42 tff(14528,plain,
% 27.84/18.42 (~v100(constB111)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14527, 14523])).
% 27.84/18.42 tff(14529,plain,
% 27.84/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB110, 1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB110, 1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 1)))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14530,plain,
% 27.84/18.42 (((~nextState(constB110, constB111)) | v90(constB110, 1) | v100(constB111) | (~v90(constB111, 1))) <=> (v90(constB110, 1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 1)))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14531,plain,
% 27.84/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB110, constB111)) | v90(constB110, 1) | v100(constB111) | (~v90(constB111, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB110, 1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 1))))),
% 27.84/18.42 inference(monotonicity,[status(thm)],[14530])).
% 27.84/18.42 tff(14532,plain,
% 27.84/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB110, constB111)) | v90(constB110, 1) | v100(constB111) | (~v90(constB111, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB110, 1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 1)))),
% 27.84/18.42 inference(transitivity,[status(thm)],[14531, 14529])).
% 27.84/18.42 tff(14533,plain,
% 27.84/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB110, constB111)) | v90(constB110, 1) | v100(constB111) | (~v90(constB111, 1)))),
% 27.84/18.42 inference(quant_inst,[status(thm)],[])).
% 27.84/18.42 tff(14534,plain,
% 27.84/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB110, 1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 1))),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14533, 14532])).
% 27.84/18.42 tff(14535,plain,
% 27.84/18.42 (v90(constB110, 1) | v100(constB111) | (~v90(constB111, 1))),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14534, 191, 14516])).
% 27.84/18.42 tff(14536,plain,
% 27.84/18.42 (v90(constB110, 1) | (~v90(constB111, 1))),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14535, 14528])).
% 27.84/18.42 tff(14537,plain,
% 27.84/18.42 (~v90(constB111, 1)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14536, 14510])).
% 27.84/18.42 tff(14538,plain,
% 27.84/18.42 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 2)))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14539,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 2)))),
% 27.84/18.42 inference(quant_inst,[status(thm)],[])).
% 27.84/18.42 tff(14540,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 2))),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14539, 14538])).
% 27.84/18.42 tff(14541,plain,
% 27.84/18.42 (~v130(constB109, 2)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14540, 2155, 13875, 13871, 13836, 13832, 13828, 13824])).
% 27.84/18.42 tff(14542,plain,
% 27.84/18.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB109, 2)) | v26(constB109) | v130(constB109, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB109, 2)) | v26(constB109) | v130(constB109, 2))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14543,plain,
% 27.84/18.42 ((v26(constB109) | v130(constB109, 2) | (~v127(constB109, 2))) <=> ((~v127(constB109, 2)) | v26(constB109) | v130(constB109, 2))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14544,plain,
% 27.84/18.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB109) | v130(constB109, 2) | (~v127(constB109, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB109, 2)) | v26(constB109) | v130(constB109, 2)))),
% 27.84/18.42 inference(monotonicity,[status(thm)],[14543])).
% 27.84/18.42 tff(14545,plain,
% 27.84/18.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB109) | v130(constB109, 2) | (~v127(constB109, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB109, 2)) | v26(constB109) | v130(constB109, 2))),
% 27.84/18.42 inference(transitivity,[status(thm)],[14544, 14542])).
% 27.84/18.42 tff(14546,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB109) | v130(constB109, 2) | (~v127(constB109, 2)))),
% 27.84/18.42 inference(quant_inst,[status(thm)],[])).
% 27.84/18.42 tff(14547,plain,
% 27.84/18.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB109, 2)) | v26(constB109) | v130(constB109, 2)),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14546, 14545])).
% 27.84/18.42 tff(14548,plain,
% 27.84/18.42 ((~v127(constB109, 2)) | v130(constB109, 2)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14547, 455, 13883])).
% 27.84/18.42 tff(14549,plain,
% 27.84/18.42 (~v127(constB109, 2)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14548, 14541])).
% 27.84/18.42 tff(14550,plain,
% 27.84/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB109, constB110)) | v127(constB109, 2) | (~v129(constB110, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB109, constB110)) | v127(constB109, 2) | (~v129(constB110, 2)))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14551,plain,
% 27.84/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB109, constB110)) | v127(constB109, 2) | (~v129(constB110, 2)))),
% 27.84/18.42 inference(quant_inst,[status(thm)],[])).
% 27.84/18.42 tff(14552,plain,
% 27.84/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB109, constB110)) | v127(constB109, 2) | (~v129(constB110, 2))),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14551, 14550])).
% 27.84/18.42 tff(14553,plain,
% 27.84/18.42 (v127(constB109, 2) | (~v129(constB110, 2))),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14552, 473, 13894])).
% 27.84/18.42 tff(14554,plain,
% 27.84/18.42 (~v129(constB110, 2)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14553, 14549])).
% 27.84/18.42 tff(14555,plain,
% 27.84/18.42 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB110, 2)) | v129(constB110, 2) | (~v100(constB110)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB110, 2)) | v129(constB110, 2) | (~v100(constB110)))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14556,plain,
% 27.84/18.42 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB110, 2)) | v129(constB110, 2) | (~v100(constB110)))),
% 27.84/18.42 inference(quant_inst,[status(thm)],[])).
% 27.84/18.42 tff(14557,plain,
% 27.84/18.42 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB110, 2)) | v129(constB110, 2) | (~v100(constB110))),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14556, 14555])).
% 27.84/18.42 tff(14558,plain,
% 27.84/18.42 ((~v90(constB110, 2)) | v129(constB110, 2)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14557, 488, 14502])).
% 27.84/18.42 tff(14559,plain,
% 27.84/18.42 (~v90(constB110, 2)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14558, 14554])).
% 27.84/18.42 tff(14560,plain,
% 27.84/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB110, 2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB110, 2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 2)))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14561,plain,
% 27.84/18.42 (((~nextState(constB110, constB111)) | v90(constB110, 2) | v100(constB111) | (~v90(constB111, 2))) <=> (v90(constB110, 2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 2)))),
% 27.84/18.42 inference(rewrite,[status(thm)],[])).
% 27.84/18.42 tff(14562,plain,
% 27.84/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB110, constB111)) | v90(constB110, 2) | v100(constB111) | (~v90(constB111, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB110, 2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 2))))),
% 27.84/18.42 inference(monotonicity,[status(thm)],[14561])).
% 27.84/18.42 tff(14563,plain,
% 27.84/18.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB110, constB111)) | v90(constB110, 2) | v100(constB111) | (~v90(constB111, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB110, 2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 2)))),
% 27.84/18.42 inference(transitivity,[status(thm)],[14562, 14560])).
% 27.84/18.42 tff(14564,plain,
% 27.84/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB110, constB111)) | v90(constB110, 2) | v100(constB111) | (~v90(constB111, 2)))),
% 27.84/18.42 inference(quant_inst,[status(thm)],[])).
% 27.84/18.42 tff(14565,plain,
% 27.84/18.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB110, 2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 2))),
% 27.84/18.42 inference(modus_ponens,[status(thm)],[14564, 14563])).
% 27.84/18.42 tff(14566,plain,
% 27.84/18.42 (v90(constB110, 2) | v100(constB111) | (~v90(constB111, 2))),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14565, 170, 14516])).
% 27.84/18.42 tff(14567,plain,
% 27.84/18.42 (v90(constB110, 2) | (~v90(constB111, 2))),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14566, 14528])).
% 27.84/18.42 tff(14568,plain,
% 27.84/18.42 (~v90(constB111, 2)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14567, 14559])).
% 27.84/18.42 tff(14569,plain,
% 27.84/18.42 (v130(constB109, 0)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14279, 2258, 13875, 13871, 13836, 13832, 13828, 13824])).
% 27.84/18.42 tff(14570,plain,
% 27.84/18.42 (v127(constB109, 0)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14275, 14569])).
% 27.84/18.42 tff(14571,plain,
% 27.84/18.42 (v129(constB110, 0)),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14270, 14570])).
% 27.84/18.42 tff(14572,plain,
% 27.84/18.42 (v90(constB110, 0) | (~v129(constB110, 0))),
% 27.84/18.42 inference(unit_resolution,[status(thm)],[14264, 642, 14502])).
% 27.84/18.42 tff(14573,plain,
% 27.84/18.42 (v90(constB110, 0)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14572, 14571])).
% 27.84/18.43 tff(14574,plain,
% 27.84/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB110, 0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB110, 0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 0))),
% 27.84/18.43 inference(rewrite,[status(thm)],[])).
% 27.84/18.43 tff(14575,plain,
% 27.84/18.43 (((~nextState(constB110, constB111)) | (~v90(constB110, 0)) | v100(constB111) | v90(constB111, 0)) <=> ((~v90(constB110, 0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 0))),
% 27.84/18.43 inference(rewrite,[status(thm)],[])).
% 27.84/18.43 tff(14576,plain,
% 27.84/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, 0)) | v100(constB111) | v90(constB111, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB110, 0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 0)))),
% 27.84/18.43 inference(monotonicity,[status(thm)],[14575])).
% 27.84/18.43 tff(14577,plain,
% 27.84/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, 0)) | v100(constB111) | v90(constB111, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB110, 0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 0))),
% 27.84/18.43 inference(transitivity,[status(thm)],[14576, 14574])).
% 27.84/18.43 tff(14578,plain,
% 27.84/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, 0)) | v100(constB111) | v90(constB111, 0))),
% 27.84/18.43 inference(quant_inst,[status(thm)],[])).
% 27.84/18.43 tff(14579,plain,
% 27.84/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB110, 0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 0)),
% 27.84/18.43 inference(modus_ponens,[status(thm)],[14578, 14577])).
% 27.84/18.43 tff(14580,plain,
% 27.84/18.43 ((~v90(constB110, 0)) | v100(constB111) | v90(constB111, 0)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14579, 660, 14516])).
% 27.84/18.43 tff(14581,plain,
% 27.84/18.43 ((~v90(constB110, 0)) | v90(constB111, 0)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14580, 14528])).
% 27.84/18.43 tff(14582,plain,
% 27.84/18.43 (v90(constB111, 0)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14581, 14573])).
% 27.84/18.43 tff(14583,plain,
% 27.84/18.43 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB111, 0)) | v90(constB111, 1) | v90(constB111, 2) | v120(constB111))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB111, 0)) | v90(constB111, 1) | v90(constB111, 2) | v120(constB111))),
% 27.84/18.43 inference(rewrite,[status(thm)],[])).
% 27.84/18.43 tff(14584,plain,
% 27.84/18.43 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB111, 0)) | v90(constB111, 1) | v90(constB111, 2) | v120(constB111))),
% 27.84/18.43 inference(quant_inst,[status(thm)],[])).
% 27.84/18.43 tff(14585,plain,
% 27.84/18.43 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB111, 0)) | v90(constB111, 1) | v90(constB111, 2) | v120(constB111)),
% 27.84/18.43 inference(modus_ponens,[status(thm)],[14584, 14583])).
% 27.84/18.43 tff(14586,plain,
% 27.84/18.43 (v120(constB111)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14585, 679, 14582, 14537, 14568])).
% 27.84/18.43 tff(14587,plain,
% 27.84/18.43 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB111)) | (~v130(constB111, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB111)) | (~v130(constB111, 2)))),
% 27.84/18.43 inference(rewrite,[status(thm)],[])).
% 27.84/18.43 tff(14588,plain,
% 27.84/18.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB111)) | (~v130(constB111, 2)))),
% 27.84/18.43 inference(quant_inst,[status(thm)],[])).
% 27.84/18.43 tff(14589,plain,
% 27.84/18.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB111)) | (~v130(constB111, 2))),
% 27.84/18.43 inference(modus_ponens,[status(thm)],[14588, 14587])).
% 27.84/18.43 tff(14590,plain,
% 27.84/18.43 (~v130(constB111, 2)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14589, 785, 14586])).
% 27.84/18.43 tff(14591,assumption,(v26(constB111)), introduced(assumption)).
% 27.84/18.43 tff(14592,plain,
% 27.84/18.43 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB111))),
% 27.84/18.43 inference(quant_inst,[status(thm)],[])).
% 27.84/18.43 tff(14593,plain,
% 27.84/18.43 ($false),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14592, 95, 14591])).
% 27.84/18.43 tff(14594,plain,(~v26(constB111)), inference(lemma,lemma(discharge,[]))).
% 27.84/18.43 tff(14595,plain,
% 27.84/18.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB111, 2)) | v26(constB111) | v130(constB111, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB111, 2)) | v26(constB111) | v130(constB111, 2))),
% 27.84/18.43 inference(rewrite,[status(thm)],[])).
% 27.84/18.43 tff(14596,plain,
% 27.84/18.43 ((v26(constB111) | v130(constB111, 2) | (~v127(constB111, 2))) <=> ((~v127(constB111, 2)) | v26(constB111) | v130(constB111, 2))),
% 27.84/18.43 inference(rewrite,[status(thm)],[])).
% 27.84/18.43 tff(14597,plain,
% 27.84/18.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB111) | v130(constB111, 2) | (~v127(constB111, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB111, 2)) | v26(constB111) | v130(constB111, 2)))),
% 27.84/18.43 inference(monotonicity,[status(thm)],[14596])).
% 27.84/18.43 tff(14598,plain,
% 27.84/18.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB111) | v130(constB111, 2) | (~v127(constB111, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB111, 2)) | v26(constB111) | v130(constB111, 2))),
% 27.84/18.43 inference(transitivity,[status(thm)],[14597, 14595])).
% 27.84/18.43 tff(14599,plain,
% 27.84/18.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB111) | v130(constB111, 2) | (~v127(constB111, 2)))),
% 27.84/18.43 inference(quant_inst,[status(thm)],[])).
% 27.84/18.43 tff(14600,plain,
% 27.84/18.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB111, 2)) | v26(constB111) | v130(constB111, 2)),
% 27.84/18.43 inference(modus_ponens,[status(thm)],[14599, 14598])).
% 27.84/18.43 tff(14601,plain,
% 27.84/18.43 ((~v127(constB111, 2)) | v130(constB111, 2)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14600, 455, 14594])).
% 27.84/18.43 tff(14602,plain,
% 27.84/18.43 (~v127(constB111, 2)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14601, 14590])).
% 27.84/18.43 tff(14603,plain,
% 27.84/18.43 (nextState(constB111, constB112) <=> nextState(constB111, constB112)),
% 27.84/18.43 inference(rewrite,[status(thm)],[])).
% 27.84/18.43 tff(14604,axiom,(nextState(constB111, constB112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_111_1')).
% 27.84/18.43 tff(14605,plain,
% 27.84/18.43 (nextState(constB111, constB112)),
% 27.84/18.43 inference(modus_ponens,[status(thm)],[14604, 14603])).
% 27.84/18.43 tff(14606,plain,
% 27.84/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB111, constB112)) | v127(constB111, 2) | (~v129(constB112, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB111, constB112)) | v127(constB111, 2) | (~v129(constB112, 2)))),
% 27.84/18.43 inference(rewrite,[status(thm)],[])).
% 27.84/18.43 tff(14607,plain,
% 27.84/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB111, constB112)) | v127(constB111, 2) | (~v129(constB112, 2)))),
% 27.84/18.43 inference(quant_inst,[status(thm)],[])).
% 27.84/18.43 tff(14608,plain,
% 27.84/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB111, constB112)) | v127(constB111, 2) | (~v129(constB112, 2))),
% 27.84/18.43 inference(modus_ponens,[status(thm)],[14607, 14606])).
% 27.84/18.43 tff(14609,plain,
% 27.84/18.43 (v127(constB111, 2) | (~v129(constB112, 2))),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14608, 473, 14605])).
% 27.84/18.43 tff(14610,plain,
% 27.84/18.43 (~v129(constB112, 2)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14609, 14602])).
% 27.84/18.43 tff(14611,assumption,(~v90(constB111, 1)), introduced(assumption)).
% 27.84/18.43 tff(14612,plain,
% 27.84/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB110, 1)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB110, 1)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 1))),
% 27.84/18.43 inference(rewrite,[status(thm)],[])).
% 27.84/18.43 tff(14613,plain,
% 27.84/18.43 (((~nextState(constB110, constB111)) | (~v90(constB110, 1)) | v100(constB111) | v90(constB111, 1)) <=> ((~v90(constB110, 1)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 1))),
% 27.84/18.43 inference(rewrite,[status(thm)],[])).
% 27.84/18.43 tff(14614,plain,
% 27.84/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB110, constB111)) | (~v90(constB110, 1)) | v100(constB111) | v90(constB111, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB110, 1)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 1)))),
% 27.84/18.43 inference(monotonicity,[status(thm)],[14613])).
% 27.84/18.43 tff(14615,plain,
% 27.84/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB110, constB111)) | (~v90(constB110, 1)) | v100(constB111) | v90(constB111, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB110, 1)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 1))),
% 27.84/18.43 inference(transitivity,[status(thm)],[14614, 14612])).
% 27.84/18.43 tff(14616,plain,
% 27.84/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB110, constB111)) | (~v90(constB110, 1)) | v100(constB111) | v90(constB111, 1))),
% 27.84/18.43 inference(quant_inst,[status(thm)],[])).
% 27.84/18.43 tff(14617,plain,
% 27.84/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB110, 1)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 1)),
% 27.84/18.43 inference(modus_ponens,[status(thm)],[14616, 14615])).
% 27.84/18.43 tff(14618,plain,
% 27.84/18.43 ((~v90(constB110, 1)) | v100(constB111) | v90(constB111, 1)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14617, 903, 14516])).
% 27.84/18.43 tff(14619,plain,
% 27.84/18.43 ((~v90(constB110, 1)) | v90(constB111, 1)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14618, 14528])).
% 27.84/18.43 tff(14620,plain,
% 27.84/18.43 (~v90(constB110, 1)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14619, 14611])).
% 27.84/18.43 tff(14621,plain,
% 27.84/18.43 (v100(constB110)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14388, 14620])).
% 27.84/18.43 tff(14622,plain,
% 27.84/18.43 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | v90(VarCurr, 1)) <=> ((~v122(VarCurr)) | v90(VarCurr, 1)))),
% 27.84/18.43 inference(bind,[status(th)],[])).
% 27.84/18.43 tff(14623,plain,
% 27.84/18.43 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))),
% 27.84/18.43 inference(quant_intro,[status(thm)],[14622])).
% 27.84/18.43 tff(14624,plain,
% 27.84/18.43 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))),
% 27.84/18.43 inference(rewrite,[status(thm)],[])).
% 27.84/18.43 tff(14625,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_2')).
% 27.84/18.43 tff(14626,plain,
% 27.84/18.43 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))),
% 27.84/18.43 inference(modus_ponens,[status(thm)],[14625, 14624])).
% 27.84/18.43 tff(14627,plain,(
% 27.84/18.43 ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))),
% 27.84/18.43 inference(skolemize,[status(sab)],[14626])).
% 27.84/18.43 tff(14628,plain,
% 27.84/18.43 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))),
% 27.84/18.43 inference(modus_ponens,[status(thm)],[14627, 14623])).
% 27.84/18.43 tff(14629,plain,
% 27.84/18.43 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB111)) | v90(constB111, 1))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB111)) | v90(constB111, 1))),
% 27.84/18.43 inference(rewrite,[status(thm)],[])).
% 27.84/18.43 tff(14630,plain,
% 27.84/18.43 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB111)) | v90(constB111, 1))),
% 27.84/18.43 inference(quant_inst,[status(thm)],[])).
% 27.84/18.43 tff(14631,plain,
% 27.84/18.43 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB111)) | v90(constB111, 1)),
% 27.84/18.43 inference(modus_ponens,[status(thm)],[14630, 14629])).
% 27.84/18.43 tff(14632,plain,
% 27.84/18.43 (~v122(constB111)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14631, 14628, 14611])).
% 27.84/18.43 tff(14633,assumption,(v121(constB109)), introduced(assumption)).
% 27.84/18.43 tff(14634,plain,
% 27.84/18.43 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB109)) | (~v130(constB109, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB109)) | (~v130(constB109, 2)))),
% 27.84/18.43 inference(rewrite,[status(thm)],[])).
% 27.84/18.43 tff(14635,plain,
% 27.84/18.43 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB109)) | (~v130(constB109, 2)))),
% 27.84/18.43 inference(quant_inst,[status(thm)],[])).
% 27.84/18.43 tff(14636,plain,
% 27.84/18.43 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB109)) | (~v130(constB109, 2))),
% 27.84/18.43 inference(modus_ponens,[status(thm)],[14635, 14634])).
% 27.84/18.43 tff(14637,plain,
% 27.84/18.43 (~v130(constB109, 2)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14636, 1155, 14633])).
% 27.84/18.43 tff(14638,plain,
% 27.84/18.43 (~v127(constB109, 2)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14548, 14637])).
% 27.84/18.43 tff(14639,plain,
% 27.84/18.43 (~v129(constB110, 2)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14553, 14638])).
% 27.84/18.43 tff(14640,assumption,(v100(constB110)), introduced(assumption)).
% 27.84/18.43 tff(14641,plain,
% 27.84/18.43 ((~v90(constB110, 2)) | v129(constB110, 2)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14557, 488, 14640])).
% 27.84/18.43 tff(14642,plain,
% 27.84/18.43 (~v90(constB110, 2)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14641, 14639])).
% 27.84/18.43 tff(14643,plain,
% 27.84/18.43 (~v90(constB111, 2)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14567, 14642])).
% 27.84/18.43 tff(14644,plain,
% 27.84/18.43 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB109)) | v130(constB109, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB109)) | v130(constB109, 0))),
% 27.84/18.43 inference(rewrite,[status(thm)],[])).
% 27.84/18.43 tff(14645,plain,
% 27.84/18.43 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB109)) | v130(constB109, 0))),
% 27.84/18.43 inference(quant_inst,[status(thm)],[])).
% 27.84/18.43 tff(14646,plain,
% 27.84/18.43 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB109)) | v130(constB109, 0)),
% 27.84/18.43 inference(modus_ponens,[status(thm)],[14645, 14644])).
% 27.84/18.43 tff(14647,plain,
% 27.84/18.43 (v130(constB109, 0)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14646, 1099, 14633])).
% 27.84/18.43 tff(14648,plain,
% 27.84/18.43 (v127(constB109, 0)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14275, 14647])).
% 27.84/18.43 tff(14649,plain,
% 27.84/18.43 (v129(constB110, 0)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14270, 14648])).
% 27.84/18.43 tff(14650,plain,
% 27.84/18.43 (v90(constB110, 0) | (~v129(constB110, 0))),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14264, 642, 14640])).
% 27.84/18.43 tff(14651,plain,
% 27.84/18.43 (v90(constB110, 0)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14650, 14649])).
% 27.84/18.43 tff(14652,plain,
% 27.84/18.43 (v90(constB111, 0)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14581, 14651])).
% 27.84/18.43 tff(14653,plain,
% 27.84/18.43 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB109)) | v130(constB109, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB109)) | v130(constB109, 1))),
% 27.84/18.43 inference(rewrite,[status(thm)],[])).
% 27.84/18.43 tff(14654,plain,
% 27.84/18.43 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB109)) | v130(constB109, 1))),
% 27.84/18.43 inference(quant_inst,[status(thm)],[])).
% 27.84/18.43 tff(14655,plain,
% 27.84/18.43 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB109)) | v130(constB109, 1)),
% 27.84/18.43 inference(modus_ponens,[status(thm)],[14654, 14653])).
% 27.84/18.43 tff(14656,plain,
% 27.84/18.43 (v130(constB109, 1)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14655, 1235, 14633])).
% 27.84/18.43 tff(14657,plain,
% 27.84/18.43 (v127(constB109, 1)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14173, 14656])).
% 27.84/18.43 tff(14658,plain,
% 27.84/18.43 (v129(constB110, 1)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14168, 14657])).
% 27.84/18.43 tff(14659,plain,
% 27.84/18.43 (v90(constB110, 1) | (~v129(constB110, 1))),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14162, 885, 14640])).
% 27.84/18.43 tff(14660,plain,
% 27.84/18.43 (v90(constB110, 1)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14659, 14658])).
% 27.84/18.43 tff(14661,plain,
% 27.84/18.43 (v90(constB111, 1)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14619, 14660])).
% 27.84/18.43 tff(14662,assumption,(~v122(constB111)), introduced(assumption)).
% 27.84/18.43 tff(14663,plain,
% 27.84/18.43 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB111, 0)) | (~v90(constB111, 1)) | v90(constB111, 2) | v122(constB111))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB111, 0)) | (~v90(constB111, 1)) | v90(constB111, 2) | v122(constB111))),
% 27.84/18.43 inference(rewrite,[status(thm)],[])).
% 27.84/18.43 tff(14664,plain,
% 27.84/18.43 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB111, 0)) | (~v90(constB111, 1)) | v90(constB111, 2) | v122(constB111))),
% 27.84/18.43 inference(quant_inst,[status(thm)],[])).
% 27.84/18.43 tff(14665,plain,
% 27.84/18.43 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB111, 0)) | (~v90(constB111, 1)) | v90(constB111, 2) | v122(constB111)),
% 27.84/18.43 inference(modus_ponens,[status(thm)],[14664, 14663])).
% 27.84/18.43 tff(14666,plain,
% 27.84/18.43 ((~v90(constB111, 0)) | (~v90(constB111, 1)) | v90(constB111, 2)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14665, 1260, 14662])).
% 27.84/18.43 tff(14667,plain,
% 27.84/18.43 ($false),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14666, 14661, 14652, 14643])).
% 27.84/18.43 tff(14668,plain,((~v121(constB109)) | v122(constB111) | (~v100(constB110))), inference(lemma,lemma(discharge,[]))).
% 27.84/18.43 tff(14669,plain,
% 27.84/18.43 (~v121(constB109)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14668, 14632, 14621])).
% 27.84/18.43 tff(14670,plain,
% 27.84/18.43 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | v90(VarCurr, 1)) <=> ((~v121(VarCurr)) | v90(VarCurr, 1)))),
% 27.84/18.43 inference(bind,[status(th)],[])).
% 27.84/18.43 tff(14671,plain,
% 27.84/18.43 (![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))),
% 27.84/18.43 inference(quant_intro,[status(thm)],[14670])).
% 27.84/18.43 tff(14672,plain,
% 27.84/18.43 (![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))),
% 27.84/18.43 inference(rewrite,[status(thm)],[])).
% 27.84/18.43 tff(14673,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_2')).
% 27.84/18.43 tff(14674,plain,
% 27.84/18.43 (![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))),
% 27.84/18.43 inference(modus_ponens,[status(thm)],[14673, 14672])).
% 27.84/18.43 tff(14675,plain,(
% 27.84/18.43 ![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))),
% 27.84/18.43 inference(skolemize,[status(sab)],[14674])).
% 27.84/18.43 tff(14676,plain,
% 27.84/18.43 (![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))),
% 27.84/18.43 inference(modus_ponens,[status(thm)],[14675, 14671])).
% 27.84/18.43 tff(14677,plain,
% 27.84/18.43 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | ((~v121(constB111)) | v90(constB111, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | (~v121(constB111)) | v90(constB111, 1))),
% 27.84/18.43 inference(rewrite,[status(thm)],[])).
% 27.84/18.43 tff(14678,plain,
% 27.84/18.43 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | ((~v121(constB111)) | v90(constB111, 1))),
% 27.84/18.43 inference(quant_inst,[status(thm)],[])).
% 27.84/18.43 tff(14679,plain,
% 27.84/18.43 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | (~v121(constB111)) | v90(constB111, 1)),
% 27.84/18.43 inference(modus_ponens,[status(thm)],[14678, 14677])).
% 27.84/18.43 tff(14680,plain,
% 27.84/18.43 (~v121(constB111)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14679, 14676, 14611])).
% 27.84/18.43 tff(14681,assumption,(v120(constB109)), introduced(assumption)).
% 27.84/18.43 tff(14682,plain,
% 27.84/18.43 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB109)) | (~v130(constB109, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB109)) | (~v130(constB109, 2)))),
% 27.84/18.43 inference(rewrite,[status(thm)],[])).
% 27.84/18.43 tff(14683,plain,
% 27.84/18.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB109)) | (~v130(constB109, 2)))),
% 27.84/18.43 inference(quant_inst,[status(thm)],[])).
% 27.84/18.43 tff(14684,plain,
% 27.84/18.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB109)) | (~v130(constB109, 2))),
% 27.84/18.43 inference(modus_ponens,[status(thm)],[14683, 14682])).
% 27.84/18.43 tff(14685,plain,
% 27.84/18.43 (~v130(constB109, 2)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14684, 785, 14681])).
% 27.84/18.43 tff(14686,plain,
% 27.84/18.43 (~v127(constB109, 2)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14548, 14685])).
% 27.84/18.43 tff(14687,plain,
% 27.84/18.43 (~v129(constB110, 2)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14553, 14686])).
% 27.84/18.43 tff(14688,plain,
% 27.84/18.43 (~v90(constB110, 2)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14641, 14687])).
% 27.84/18.43 tff(14689,plain,
% 27.84/18.43 (~v90(constB111, 2)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14567, 14688])).
% 27.84/18.43 tff(14690,plain,
% 27.84/18.43 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB109)) | (~v130(constB109, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB109)) | (~v130(constB109, 0)))),
% 27.84/18.43 inference(rewrite,[status(thm)],[])).
% 27.84/18.43 tff(14691,plain,
% 27.84/18.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB109)) | (~v130(constB109, 0)))),
% 27.84/18.43 inference(quant_inst,[status(thm)],[])).
% 27.84/18.43 tff(14692,plain,
% 27.84/18.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB109)) | (~v130(constB109, 0))),
% 27.84/18.43 inference(modus_ponens,[status(thm)],[14691, 14690])).
% 27.84/18.43 tff(14693,plain,
% 27.84/18.43 (~v130(constB109, 0)),
% 27.84/18.43 inference(unit_resolution,[status(thm)],[14692, 919, 14681])).
% 27.84/18.43 tff(14694,plain,
% 27.84/18.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB109, 0)) | v26(constB109) | v130(constB109, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB109, 0)) | v26(constB109) | v130(constB109, 0))),
% 27.84/18.43 inference(rewrite,[status(thm)],[])).
% 27.84/18.43 tff(14695,plain,
% 27.84/18.43 ((v26(constB109) | v130(constB109, 0) | (~v127(constB109, 0))) <=> ((~v127(constB109, 0)) | v26(constB109) | v130(constB109, 0))),
% 27.84/18.43 inference(rewrite,[status(thm)],[])).
% 27.84/18.43 tff(14696,plain,
% 27.84/18.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB109) | v130(constB109, 0) | (~v127(constB109, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB109, 0)) | v26(constB109) | v130(constB109, 0)))),
% 27.84/18.43 inference(monotonicity,[status(thm)],[14695])).
% 27.91/18.43 tff(14697,plain,
% 27.91/18.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB109) | v130(constB109, 0) | (~v127(constB109, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB109, 0)) | v26(constB109) | v130(constB109, 0))),
% 27.91/18.43 inference(transitivity,[status(thm)],[14696, 14694])).
% 27.91/18.43 tff(14698,plain,
% 27.91/18.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB109) | v130(constB109, 0) | (~v127(constB109, 0)))),
% 27.91/18.43 inference(quant_inst,[status(thm)],[])).
% 27.91/18.43 tff(14699,plain,
% 27.91/18.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB109, 0)) | v26(constB109) | v130(constB109, 0)),
% 27.91/18.43 inference(modus_ponens,[status(thm)],[14698, 14697])).
% 27.91/18.43 tff(14700,plain,
% 27.91/18.43 ((~v127(constB109, 0)) | v130(constB109, 0)),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14699, 933, 13883])).
% 27.91/18.43 tff(14701,plain,
% 27.91/18.43 (~v127(constB109, 0)),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14700, 14693])).
% 27.91/18.43 tff(14702,plain,
% 27.91/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB109, constB110)) | v127(constB109, 0) | (~v129(constB110, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB109, constB110)) | v127(constB109, 0) | (~v129(constB110, 0)))),
% 27.91/18.43 inference(rewrite,[status(thm)],[])).
% 27.91/18.43 tff(14703,plain,
% 27.91/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB109, constB110)) | v127(constB109, 0) | (~v129(constB110, 0)))),
% 27.91/18.43 inference(quant_inst,[status(thm)],[])).
% 27.91/18.43 tff(14704,plain,
% 27.91/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB109, constB110)) | v127(constB109, 0) | (~v129(constB110, 0))),
% 27.91/18.43 inference(modus_ponens,[status(thm)],[14703, 14702])).
% 27.91/18.43 tff(14705,plain,
% 27.91/18.43 (v127(constB109, 0) | (~v129(constB110, 0))),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14704, 951, 13894])).
% 27.91/18.43 tff(14706,plain,
% 27.91/18.43 (~v129(constB110, 0)),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14705, 14701])).
% 27.91/18.43 tff(14707,plain,
% 27.91/18.43 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB110, 0)) | v129(constB110, 0) | (~v100(constB110)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB110, 0)) | v129(constB110, 0) | (~v100(constB110)))),
% 27.91/18.43 inference(rewrite,[status(thm)],[])).
% 27.91/18.43 tff(14708,plain,
% 27.91/18.43 (((~v90(constB110, 0)) | (~v100(constB110)) | v129(constB110, 0)) <=> ((~v90(constB110, 0)) | v129(constB110, 0) | (~v100(constB110)))),
% 27.91/18.43 inference(rewrite,[status(thm)],[])).
% 27.91/18.43 tff(14709,plain,
% 27.91/18.43 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB110, 0)) | (~v100(constB110)) | v129(constB110, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB110, 0)) | v129(constB110, 0) | (~v100(constB110))))),
% 27.91/18.43 inference(monotonicity,[status(thm)],[14708])).
% 27.91/18.43 tff(14710,plain,
% 27.91/18.43 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB110, 0)) | (~v100(constB110)) | v129(constB110, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB110, 0)) | v129(constB110, 0) | (~v100(constB110)))),
% 27.91/18.43 inference(transitivity,[status(thm)],[14709, 14707])).
% 27.91/18.43 tff(14711,plain,
% 27.91/18.43 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB110, 0)) | (~v100(constB110)) | v129(constB110, 0))),
% 27.91/18.43 inference(quant_inst,[status(thm)],[])).
% 27.91/18.43 tff(14712,plain,
% 27.91/18.43 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB110, 0)) | v129(constB110, 0) | (~v100(constB110))),
% 27.91/18.43 inference(modus_ponens,[status(thm)],[14711, 14710])).
% 27.91/18.43 tff(14713,plain,
% 27.91/18.43 ((~v90(constB110, 0)) | v129(constB110, 0)),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14712, 966, 14640])).
% 27.91/18.43 tff(14714,plain,
% 27.91/18.43 (~v90(constB110, 0)),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14713, 14706])).
% 27.91/18.43 tff(14715,plain,
% 27.91/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB110, 0) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB110, 0) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 0)))),
% 27.91/18.43 inference(rewrite,[status(thm)],[])).
% 27.91/18.43 tff(14716,plain,
% 27.91/18.43 (((~nextState(constB110, constB111)) | v90(constB110, 0) | v100(constB111) | (~v90(constB111, 0))) <=> (v90(constB110, 0) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 0)))),
% 27.91/18.43 inference(rewrite,[status(thm)],[])).
% 27.91/18.43 tff(14717,plain,
% 27.91/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB110, constB111)) | v90(constB110, 0) | v100(constB111) | (~v90(constB111, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB110, 0) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 0))))),
% 27.91/18.43 inference(monotonicity,[status(thm)],[14716])).
% 27.91/18.43 tff(14718,plain,
% 27.91/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB110, constB111)) | v90(constB110, 0) | v100(constB111) | (~v90(constB111, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB110, 0) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 0)))),
% 27.91/18.43 inference(transitivity,[status(thm)],[14717, 14715])).
% 27.91/18.43 tff(14719,plain,
% 27.91/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB110, constB111)) | v90(constB110, 0) | v100(constB111) | (~v90(constB111, 0)))),
% 27.91/18.43 inference(quant_inst,[status(thm)],[])).
% 27.91/18.43 tff(14720,plain,
% 27.91/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB110, 0) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 0))),
% 27.91/18.43 inference(modus_ponens,[status(thm)],[14719, 14718])).
% 27.91/18.43 tff(14721,plain,
% 27.91/18.43 (v90(constB110, 0) | v100(constB111) | (~v90(constB111, 0))),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14720, 212, 14516])).
% 27.91/18.43 tff(14722,plain,
% 27.91/18.43 (v90(constB110, 0) | (~v90(constB111, 0))),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14721, 14528])).
% 27.91/18.43 tff(14723,plain,
% 27.91/18.43 (~v90(constB111, 0)),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14722, 14714])).
% 27.91/18.43 tff(14724,plain,
% 27.91/18.43 (v130(constB109, 1)),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14177, 841, 14681])).
% 27.91/18.43 tff(14725,plain,
% 27.91/18.43 (v127(constB109, 1)),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14173, 14724])).
% 27.91/18.43 tff(14726,plain,
% 27.91/18.43 (v129(constB110, 1)),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14168, 14725])).
% 27.91/18.43 tff(14727,plain,
% 27.91/18.43 (v90(constB110, 1)),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14659, 14726])).
% 27.91/18.43 tff(14728,plain,
% 27.91/18.43 (v90(constB111, 1)),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14619, 14727])).
% 27.91/18.43 tff(14729,assumption,(~v121(constB111)), introduced(assumption)).
% 27.91/18.43 tff(14730,plain,
% 27.91/18.43 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB111, 0) | (~v90(constB111, 1)) | v90(constB111, 2) | v121(constB111))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB111, 0) | (~v90(constB111, 1)) | v90(constB111, 2) | v121(constB111))),
% 27.91/18.43 inference(rewrite,[status(thm)],[])).
% 27.91/18.43 tff(14731,plain,
% 27.91/18.43 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB111, 0) | (~v90(constB111, 1)) | v90(constB111, 2) | v121(constB111))),
% 27.91/18.43 inference(quant_inst,[status(thm)],[])).
% 27.91/18.43 tff(14732,plain,
% 27.91/18.43 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB111, 0) | (~v90(constB111, 1)) | v90(constB111, 2) | v121(constB111)),
% 27.91/18.43 inference(modus_ponens,[status(thm)],[14731, 14730])).
% 27.91/18.43 tff(14733,plain,
% 27.91/18.43 (v90(constB111, 0) | (~v90(constB111, 1)) | v90(constB111, 2)),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14732, 993, 14729])).
% 27.91/18.43 tff(14734,plain,
% 27.91/18.43 ($false),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14733, 14728, 14723, 14689])).
% 27.91/18.43 tff(14735,plain,((~v120(constB109)) | v121(constB111) | (~v100(constB110))), inference(lemma,lemma(discharge,[]))).
% 27.91/18.43 tff(14736,plain,
% 27.91/18.43 (~v120(constB109)),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14735, 14680, 14621])).
% 27.91/18.43 tff(14737,plain,
% 27.91/18.43 (~v129(constB110, 1)),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14162, 885, 14621, 14620])).
% 27.91/18.43 tff(14738,plain,
% 27.91/18.43 (~v127(constB109, 1)),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14168, 14737])).
% 27.91/18.43 tff(14739,plain,
% 27.91/18.43 (~v130(constB109, 1)),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14173, 14738])).
% 27.91/18.43 tff(14740,plain,
% 27.91/18.43 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB109)) | v130(constB109, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB109)) | v130(constB109, 1))),
% 27.91/18.43 inference(rewrite,[status(thm)],[])).
% 27.91/18.43 tff(14741,plain,
% 27.91/18.43 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB109)) | v130(constB109, 1))),
% 27.91/18.43 inference(quant_inst,[status(thm)],[])).
% 27.91/18.43 tff(14742,plain,
% 27.91/18.43 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB109)) | v130(constB109, 1)),
% 27.91/18.43 inference(modus_ponens,[status(thm)],[14741, 14740])).
% 27.91/18.43 tff(14743,plain,
% 27.91/18.43 (~v124(constB109)),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14742, 1929, 14739])).
% 27.91/18.43 tff(14744,assumption,(~v100(constB112)), introduced(assumption)).
% 27.91/18.43 tff(14745,plain,
% 27.91/18.43 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))),
% 27.91/18.43 inference(rewrite,[status(thm)],[])).
% 27.91/18.43 tff(14746,plain,
% 27.91/18.43 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))),
% 27.91/18.43 inference(quant_inst,[status(thm)],[])).
% 27.91/18.43 tff(14747,plain,
% 27.91/18.43 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112))),
% 27.91/18.43 inference(modus_ponens,[status(thm)],[14746, 14745])).
% 27.91/18.43 tff(14748,plain,
% 27.91/18.43 (~v104(constB112)),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14747, 378, 14605, 14513])).
% 27.91/18.43 tff(14749,plain,
% 27.91/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))),
% 27.91/18.43 inference(rewrite,[status(thm)],[])).
% 27.91/18.43 tff(14750,plain,
% 27.91/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))),
% 27.91/18.43 inference(quant_inst,[status(thm)],[])).
% 27.91/18.43 tff(14751,plain,
% 27.91/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB111, constB112)) | v102(constB112) | v104(constB112)),
% 27.91/18.43 inference(modus_ponens,[status(thm)],[14750, 14749])).
% 27.91/18.43 tff(14752,plain,
% 27.91/18.43 (v102(constB112) | v104(constB112)),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14751, 392, 14605])).
% 27.91/18.43 tff(14753,plain,
% 27.91/18.43 (v102(constB112)),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14752, 14748])).
% 27.91/18.43 tff(14754,plain,
% 27.91/18.43 (v1(constB112) <=> v1(constB112)),
% 27.91/18.43 inference(rewrite,[status(thm)],[])).
% 27.91/18.43 tff(14755,axiom,(v1(constB112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_112_1')).
% 27.91/18.43 tff(14756,plain,
% 27.91/18.43 (v1(constB112)),
% 27.91/18.43 inference(modus_ponens,[status(thm)],[14755, 14754])).
% 27.91/18.43 tff(14757,plain,
% 27.91/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))),
% 27.91/18.43 inference(rewrite,[status(thm)],[])).
% 27.91/18.43 tff(14758,plain,
% 27.91/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))),
% 27.91/18.43 inference(quant_inst,[status(thm)],[])).
% 27.91/18.43 tff(14759,plain,
% 27.91/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112))),
% 27.91/18.43 inference(modus_ponens,[status(thm)],[14758, 14757])).
% 27.91/18.43 tff(14760,plain,
% 27.91/18.43 (v101(constB112) | (~v102(constB112))),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14759, 410, 14605, 14756])).
% 27.91/18.43 tff(14761,plain,
% 27.91/18.43 (v101(constB112)),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14760, 14753])).
% 27.91/18.43 tff(14762,plain,
% 27.91/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 27.91/18.43 inference(rewrite,[status(thm)],[])).
% 27.91/18.43 tff(14763,plain,
% 27.91/18.43 (((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112)) <=> ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 27.91/18.43 inference(rewrite,[status(thm)],[])).
% 27.91/18.43 tff(14764,plain,
% 27.91/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112))))),
% 27.91/18.43 inference(monotonicity,[status(thm)],[14763])).
% 27.91/18.43 tff(14765,plain,
% 27.91/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 27.91/18.43 inference(transitivity,[status(thm)],[14764, 14762])).
% 27.91/18.43 tff(14766,plain,
% 27.91/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))),
% 27.91/18.43 inference(quant_inst,[status(thm)],[])).
% 27.91/18.43 tff(14767,plain,
% 27.91/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112))),
% 27.91/18.43 inference(modus_ponens,[status(thm)],[14766, 14765])).
% 27.91/18.43 tff(14768,plain,
% 27.91/18.43 (v100(constB112) | (~v101(constB112)) | (~v110(constB112))),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14767, 425, 14605])).
% 27.91/18.43 tff(14769,plain,
% 27.91/18.43 (v100(constB112) | (~v110(constB112))),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14768, 14761])).
% 27.91/18.43 tff(14770,plain,
% 27.91/18.43 (~v110(constB112)),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14769, 14744])).
% 27.91/18.43 tff(14771,plain,
% 27.91/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 27.91/18.43 inference(rewrite,[status(thm)],[])).
% 27.91/18.43 tff(14772,plain,
% 27.91/18.43 (((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112)) <=> ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 27.91/18.43 inference(rewrite,[status(thm)],[])).
% 27.91/18.43 tff(14773,plain,
% 27.91/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111))))),
% 27.91/18.43 inference(monotonicity,[status(thm)],[14772])).
% 27.91/18.43 tff(14774,plain,
% 27.91/18.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 27.91/18.43 inference(transitivity,[status(thm)],[14773, 14771])).
% 27.91/18.43 tff(14775,plain,
% 27.91/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))),
% 27.91/18.43 inference(quant_inst,[status(thm)],[])).
% 27.91/18.43 tff(14776,plain,
% 27.91/18.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111))),
% 27.91/18.43 inference(modus_ponens,[status(thm)],[14775, 14774])).
% 27.91/18.43 tff(14777,plain,
% 27.91/18.43 (v110(constB112) | (~v108(constB111))),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14776, 360, 14605])).
% 27.91/18.43 tff(14778,plain,
% 27.91/18.43 (~v108(constB111)),
% 27.91/18.43 inference(unit_resolution,[status(thm)],[14777, 14770])).
% 27.91/18.43 tff(14779,plain,
% 27.91/18.43 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB111) | (~v112(constB111)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB111) | (~v112(constB111)))),
% 27.91/18.43 inference(rewrite,[status(thm)],[])).
% 27.91/18.43 tff(14780,plain,
% 27.91/18.43 (((~v112(constB111)) | v108(constB111)) <=> (v108(constB111) | (~v112(constB111)))),
% 27.91/18.43 inference(rewrite,[status(thm)],[])).
% 27.91/18.43 tff(14781,plain,
% 27.91/18.43 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB111)) | v108(constB111))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB111) | (~v112(constB111))))),
% 27.91/18.44 inference(monotonicity,[status(thm)],[14780])).
% 27.91/18.44 tff(14782,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB111)) | v108(constB111))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB111) | (~v112(constB111)))),
% 27.91/18.44 inference(transitivity,[status(thm)],[14781, 14779])).
% 27.91/18.44 tff(14783,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB111)) | v108(constB111))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14784,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB111) | (~v112(constB111))),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14783, 14782])).
% 27.91/18.44 tff(14785,plain,
% 27.91/18.44 (~v112(constB111)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14784, 340, 14778])).
% 27.91/18.44 tff(14786,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | (~v113(constB111)) | v112(constB111))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14787,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14788,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | (~v113(constB111)) | v112(constB111)),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14787, 14786])).
% 27.91/18.44 tff(14789,plain,
% 27.91/18.44 ((~v113(constB111)) | v112(constB111)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14788, 328, 14594])).
% 27.91/18.44 tff(14790,plain,
% 27.91/18.44 (~v113(constB111)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14789, 14785])).
% 27.91/18.44 tff(14791,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB111) | (~v114(constB111)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB111) | (~v114(constB111)))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14792,plain,
% 27.91/18.44 (((~v114(constB111)) | v113(constB111)) <=> (v113(constB111) | (~v114(constB111)))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14793,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB111)) | v113(constB111))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB111) | (~v114(constB111))))),
% 27.91/18.44 inference(monotonicity,[status(thm)],[14792])).
% 27.91/18.44 tff(14794,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB111)) | v113(constB111))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB111) | (~v114(constB111)))),
% 27.91/18.44 inference(transitivity,[status(thm)],[14793, 14791])).
% 27.91/18.44 tff(14795,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB111)) | v113(constB111))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14796,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB111) | (~v114(constB111))),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14795, 14794])).
% 27.91/18.44 tff(14797,plain,
% 27.91/18.44 (~v114(constB111)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14796, 314, 14790])).
% 27.91/18.44 tff(14798,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB111) | (~v115(constB111)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB111) | (~v115(constB111)))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14799,plain,
% 27.91/18.44 (((~v115(constB111)) | v114(constB111)) <=> (v114(constB111) | (~v115(constB111)))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14800,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB111)) | v114(constB111))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB111) | (~v115(constB111))))),
% 27.91/18.44 inference(monotonicity,[status(thm)],[14799])).
% 27.91/18.44 tff(14801,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB111)) | v114(constB111))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB111) | (~v115(constB111)))),
% 27.91/18.44 inference(transitivity,[status(thm)],[14800, 14798])).
% 27.91/18.44 tff(14802,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB111)) | v114(constB111))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14803,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB111) | (~v115(constB111))),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14802, 14801])).
% 27.91/18.44 tff(14804,plain,
% 27.91/18.44 (~v115(constB111)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14803, 300, 14797])).
% 27.91/18.44 tff(14805,assumption,(~v90(constB112, 2)), introduced(assumption)).
% 27.91/18.44 tff(14806,plain,
% 27.91/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB111, 2)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB111, 2)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, 2))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14807,plain,
% 27.91/18.44 (((~nextState(constB111, constB112)) | (~v90(constB111, 2)) | v100(constB112) | v90(constB112, 2)) <=> ((~v90(constB111, 2)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, 2))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14808,plain,
% 27.91/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB111, constB112)) | (~v90(constB111, 2)) | v100(constB112) | v90(constB112, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB111, 2)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, 2)))),
% 27.91/18.44 inference(monotonicity,[status(thm)],[14807])).
% 27.91/18.44 tff(14809,plain,
% 27.91/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB111, constB112)) | (~v90(constB111, 2)) | v100(constB112) | v90(constB112, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB111, 2)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, 2))),
% 27.91/18.44 inference(transitivity,[status(thm)],[14808, 14806])).
% 27.91/18.44 tff(14810,plain,
% 27.91/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB111, constB112)) | (~v90(constB111, 2)) | v100(constB112) | v90(constB112, 2))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14811,plain,
% 27.91/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB111, 2)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, 2)),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14810, 14809])).
% 27.91/18.44 tff(14812,plain,
% 27.91/18.44 ((~v90(constB111, 2)) | v100(constB112) | v90(constB112, 2)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14811, 1546, 14605])).
% 27.91/18.44 tff(14813,plain,
% 27.91/18.44 (~v90(constB111, 2)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14812, 14744, 14805])).
% 27.91/18.44 tff(14814,assumption,(~v90(constB111, 0)), introduced(assumption)).
% 27.91/18.44 tff(14815,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB111, 0) | v90(constB111, 1) | v90(constB111, 2) | v119(constB111))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB111, 0) | v90(constB111, 1) | v90(constB111, 2) | v119(constB111))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14816,plain,
% 27.91/18.44 ((v90(constB111, 0) | v119(constB111) | v90(constB111, 1) | v90(constB111, 2)) <=> (v90(constB111, 0) | v90(constB111, 1) | v90(constB111, 2) | v119(constB111))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14817,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB111, 0) | v119(constB111) | v90(constB111, 1) | v90(constB111, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB111, 0) | v90(constB111, 1) | v90(constB111, 2) | v119(constB111)))),
% 27.91/18.44 inference(monotonicity,[status(thm)],[14816])).
% 27.91/18.44 tff(14818,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB111, 0) | v119(constB111) | v90(constB111, 1) | v90(constB111, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB111, 0) | v90(constB111, 1) | v90(constB111, 2) | v119(constB111))),
% 27.91/18.44 inference(transitivity,[status(thm)],[14817, 14815])).
% 27.91/18.44 tff(14819,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB111, 0) | v119(constB111) | v90(constB111, 1) | v90(constB111, 2))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14820,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB111, 0) | v90(constB111, 1) | v90(constB111, 2) | v119(constB111)),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14819, 14818])).
% 27.91/18.44 tff(14821,plain,
% 27.91/18.44 (v90(constB111, 0) | v90(constB111, 2) | v119(constB111)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14820, 233, 14611])).
% 27.91/18.44 tff(14822,plain,
% 27.91/18.44 (v119(constB111)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14821, 14813, 14814])).
% 27.91/18.44 tff(14823,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB111)) | v118(constB111))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB111)) | v118(constB111))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14824,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB111)) | v118(constB111))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14825,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB111)) | v118(constB111)),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14824, 14823])).
% 27.91/18.44 tff(14826,plain,
% 27.91/18.44 (v118(constB111)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14825, 247, 14822])).
% 27.91/18.44 tff(14827,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB111) | (~v118(constB111)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB111) | (~v118(constB111)))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14828,plain,
% 27.91/18.44 (((~v118(constB111)) | v117(constB111)) <=> (v117(constB111) | (~v118(constB111)))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14829,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB111)) | v117(constB111))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB111) | (~v118(constB111))))),
% 27.91/18.44 inference(monotonicity,[status(thm)],[14828])).
% 27.91/18.44 tff(14830,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB111)) | v117(constB111))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB111) | (~v118(constB111)))),
% 27.91/18.44 inference(transitivity,[status(thm)],[14829, 14827])).
% 27.91/18.44 tff(14831,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB111)) | v117(constB111))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14832,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB111) | (~v118(constB111))),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14831, 14830])).
% 27.91/18.44 tff(14833,plain,
% 27.91/18.44 (v117(constB111)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14832, 258, 14826])).
% 27.91/18.44 tff(14834,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB111) | (~v117(constB111)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB111) | (~v117(constB111)))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14835,plain,
% 27.91/18.44 (((~v117(constB111)) | v116(constB111)) <=> (v116(constB111) | (~v117(constB111)))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14836,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB111)) | v116(constB111))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB111) | (~v117(constB111))))),
% 27.91/18.44 inference(monotonicity,[status(thm)],[14835])).
% 27.91/18.44 tff(14837,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB111)) | v116(constB111))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB111) | (~v117(constB111)))),
% 27.91/18.44 inference(transitivity,[status(thm)],[14836, 14834])).
% 27.91/18.44 tff(14838,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB111)) | v116(constB111))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14839,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB111) | (~v117(constB111))),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14838, 14837])).
% 27.91/18.44 tff(14840,plain,
% 27.91/18.44 (v116(constB111)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14839, 272, 14833])).
% 27.91/18.44 tff(14841,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB111) | (~v116(constB111)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB111) | (~v116(constB111)))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14842,plain,
% 27.91/18.44 (((~v116(constB111)) | v115(constB111)) <=> (v115(constB111) | (~v116(constB111)))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14843,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB111)) | v115(constB111))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB111) | (~v116(constB111))))),
% 27.91/18.44 inference(monotonicity,[status(thm)],[14842])).
% 27.91/18.44 tff(14844,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB111)) | v115(constB111))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB111) | (~v116(constB111)))),
% 27.91/18.44 inference(transitivity,[status(thm)],[14843, 14841])).
% 27.91/18.44 tff(14845,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB111)) | v115(constB111))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14846,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB111) | (~v116(constB111))),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14845, 14844])).
% 27.91/18.44 tff(14847,plain,
% 27.91/18.44 ($false),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14846, 286, 14840, 14804])).
% 27.91/18.44 tff(14848,plain,(v100(constB112) | v90(constB111, 0) | v90(constB111, 1) | v90(constB112, 2)), inference(lemma,lemma(discharge,[]))).
% 27.91/18.44 tff(14849,plain,
% 27.91/18.44 (v90(constB111, 0)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14848, 14744, 14611, 14805])).
% 27.91/18.44 tff(14850,plain,
% 27.91/18.44 ((~v90(constB111, 0)) | v90(constB111, 2) | v120(constB111)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14585, 679, 14611])).
% 27.91/18.44 tff(14851,plain,
% 27.91/18.44 (v120(constB111)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14850, 14849, 14813])).
% 27.91/18.44 tff(14852,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB111)) | v118(constB111))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB111)) | v118(constB111))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14853,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB111)) | v118(constB111))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14854,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB111)) | v118(constB111)),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14853, 14852])).
% 27.91/18.44 tff(14855,plain,
% 27.91/18.44 (v118(constB111)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14854, 690, 14851])).
% 27.91/18.44 tff(14856,plain,
% 27.91/18.44 (v117(constB111)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14832, 258, 14855])).
% 27.91/18.44 tff(14857,plain,
% 27.91/18.44 (v116(constB111)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14839, 272, 14856])).
% 27.91/18.44 tff(14858,plain,
% 27.91/18.44 ($false),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14846, 286, 14857, 14804])).
% 27.91/18.44 tff(14859,plain,(v100(constB112) | v90(constB111, 1) | v90(constB112, 2)), inference(lemma,lemma(discharge,[]))).
% 27.91/18.44 tff(14860,plain,
% 27.91/18.44 (v90(constB112, 2)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14859, 14744, 14611])).
% 27.91/18.44 tff(14861,assumption,(v90(constB111, 0)), introduced(assumption)).
% 27.91/18.44 tff(14862,plain,
% 27.91/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB111, 0)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB111, 0)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, 0))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14863,plain,
% 27.91/18.44 (((~nextState(constB111, constB112)) | (~v90(constB111, 0)) | v100(constB112) | v90(constB112, 0)) <=> ((~v90(constB111, 0)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, 0))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14864,plain,
% 27.91/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB111, constB112)) | (~v90(constB111, 0)) | v100(constB112) | v90(constB112, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB111, 0)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, 0)))),
% 27.91/18.44 inference(monotonicity,[status(thm)],[14863])).
% 27.91/18.44 tff(14865,plain,
% 27.91/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB111, constB112)) | (~v90(constB111, 0)) | v100(constB112) | v90(constB112, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB111, 0)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, 0))),
% 27.91/18.44 inference(transitivity,[status(thm)],[14864, 14862])).
% 27.91/18.44 tff(14866,plain,
% 27.91/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB111, constB112)) | (~v90(constB111, 0)) | v100(constB112) | v90(constB112, 0))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14867,plain,
% 27.91/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB111, 0)) | (~nextState(constB111, constB112)) | v100(constB112) | v90(constB112, 0)),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14866, 14865])).
% 27.91/18.44 tff(14868,plain,
% 27.91/18.44 ((~v90(constB111, 0)) | v100(constB112) | v90(constB112, 0)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14867, 660, 14605])).
% 27.91/18.44 tff(14869,plain,
% 27.91/18.44 (v90(constB112, 0)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14868, 14744, 14861])).
% 27.91/18.44 tff(14870,assumption,(v90(constB112, 0)), introduced(assumption)).
% 27.91/18.44 tff(14871,plain,
% 27.91/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB111, 0) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB111, 0) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, 0)))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14872,plain,
% 27.91/18.44 (((~nextState(constB111, constB112)) | v90(constB111, 0) | v100(constB112) | (~v90(constB112, 0))) <=> (v90(constB111, 0) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, 0)))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14873,plain,
% 27.91/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB111, constB112)) | v90(constB111, 0) | v100(constB112) | (~v90(constB112, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB111, 0) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, 0))))),
% 27.91/18.44 inference(monotonicity,[status(thm)],[14872])).
% 27.91/18.44 tff(14874,plain,
% 27.91/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB111, constB112)) | v90(constB111, 0) | v100(constB112) | (~v90(constB112, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB111, 0) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, 0)))),
% 27.91/18.44 inference(transitivity,[status(thm)],[14873, 14871])).
% 27.91/18.44 tff(14875,plain,
% 27.91/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB111, constB112)) | v90(constB111, 0) | v100(constB112) | (~v90(constB112, 0)))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14876,plain,
% 27.91/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB111, 0) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, 0))),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14875, 14874])).
% 27.91/18.44 tff(14877,plain,
% 27.91/18.44 (v90(constB111, 0) | v100(constB112) | (~v90(constB112, 0))),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14876, 212, 14605])).
% 27.91/18.44 tff(14878,plain,
% 27.91/18.44 (v90(constB111, 0)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14877, 14744, 14870])).
% 27.91/18.44 tff(14879,assumption,(v90(constB112, 2)), introduced(assumption)).
% 27.91/18.44 tff(14880,plain,
% 27.91/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB111, 2) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB111, 2) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, 2)))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14881,plain,
% 27.91/18.44 (((~nextState(constB111, constB112)) | v90(constB111, 2) | v100(constB112) | (~v90(constB112, 2))) <=> (v90(constB111, 2) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, 2)))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14882,plain,
% 27.91/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB111, constB112)) | v90(constB111, 2) | v100(constB112) | (~v90(constB112, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB111, 2) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, 2))))),
% 27.91/18.44 inference(monotonicity,[status(thm)],[14881])).
% 27.91/18.44 tff(14883,plain,
% 27.91/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB111, constB112)) | v90(constB111, 2) | v100(constB112) | (~v90(constB112, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB111, 2) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, 2)))),
% 27.91/18.44 inference(transitivity,[status(thm)],[14882, 14880])).
% 27.91/18.44 tff(14884,plain,
% 27.91/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB111, constB112)) | v90(constB111, 2) | v100(constB112) | (~v90(constB112, 2)))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14885,plain,
% 27.91/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB111, 2) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, 2))),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14884, 14883])).
% 27.91/18.44 tff(14886,plain,
% 27.91/18.44 (v90(constB111, 2) | v100(constB112) | (~v90(constB112, 2))),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14885, 170, 14605])).
% 27.91/18.44 tff(14887,plain,
% 27.91/18.44 (v90(constB111, 2)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14886, 14744, 14879])).
% 27.91/18.44 tff(14888,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB111, 0)) | v90(constB111, 1) | (~v90(constB111, 2)) | v124(constB111))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB111, 0)) | v90(constB111, 1) | (~v90(constB111, 2)) | v124(constB111))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14889,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB111, 0)) | v90(constB111, 1) | (~v90(constB111, 2)) | v124(constB111))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14890,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB111, 0)) | v90(constB111, 1) | (~v90(constB111, 2)) | v124(constB111)),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14889, 14888])).
% 27.91/18.44 tff(14891,plain,
% 27.91/18.44 ((~v90(constB111, 0)) | (~v90(constB111, 2)) | v124(constB111)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14890, 1794, 14611])).
% 27.91/18.44 tff(14892,plain,
% 27.91/18.44 (v124(constB111)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14891, 14887, 14878])).
% 27.91/18.44 tff(14893,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB111)) | v114(constB111))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB111)) | v114(constB111))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14894,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB111)) | v114(constB111))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14895,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB111)) | v114(constB111)),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14894, 14893])).
% 27.91/18.44 tff(14896,plain,
% 27.91/18.44 (v114(constB111)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14895, 1805, 14892])).
% 27.91/18.44 tff(14897,plain,
% 27.91/18.44 ($false),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14796, 314, 14790, 14896])).
% 27.91/18.44 tff(14898,plain,(v100(constB112) | v90(constB111, 1) | (~v90(constB112, 2)) | (~v90(constB112, 0))), inference(lemma,lemma(discharge,[]))).
% 27.91/18.44 tff(14899,plain,
% 27.91/18.44 ($false),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14898, 14869, 14860, 14611, 14744])).
% 27.91/18.44 tff(14900,plain,(v100(constB112) | v90(constB111, 1) | (~v90(constB111, 0))), inference(lemma,lemma(discharge,[]))).
% 27.91/18.44 tff(14901,plain,
% 27.91/18.44 (~v90(constB111, 0)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14900, 14744, 14611])).
% 27.91/18.44 tff(14902,assumption,(~v124(constB109)), introduced(assumption)).
% 27.91/18.44 tff(14903,plain,
% 27.91/18.44 (~v90(constB110, 0)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14581, 14814])).
% 27.91/18.44 tff(14904,plain,
% 27.91/18.44 (~v129(constB110, 0)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14650, 14903])).
% 27.91/18.44 tff(14905,plain,
% 27.91/18.44 (~v127(constB109, 0)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14270, 14904])).
% 27.91/18.44 tff(14906,plain,
% 27.91/18.44 (~v130(constB109, 0)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14275, 14905])).
% 27.91/18.44 tff(14907,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB109)) | v130(constB109, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB109)) | v130(constB109, 0))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14908,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB109)) | v130(constB109, 0))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14909,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB109)) | v130(constB109, 0)),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14908, 14907])).
% 27.91/18.44 tff(14910,plain,
% 27.91/18.44 (~v123(constB109)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14909, 1753, 14906])).
% 27.91/18.44 tff(14911,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB109)) | v130(constB109, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB109)) | v130(constB109, 0))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14912,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB109)) | v130(constB109, 0))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14913,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB109)) | v130(constB109, 0)),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14912, 14911])).
% 27.91/18.44 tff(14914,plain,
% 27.91/18.44 (~v119(constB109)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14913, 598, 14906])).
% 27.91/18.44 tff(14915,assumption,(~v123(constB111)), introduced(assumption)).
% 27.91/18.44 tff(14916,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB111, 0) | v90(constB111, 1) | (~v90(constB111, 2)) | v123(constB111))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB111, 0) | v90(constB111, 1) | (~v90(constB111, 2)) | v123(constB111))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14917,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB111, 0) | v90(constB111, 1) | (~v90(constB111, 2)) | v123(constB111))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14918,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB111, 0) | v90(constB111, 1) | (~v90(constB111, 2)) | v123(constB111)),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14917, 14916])).
% 27.91/18.44 tff(14919,plain,
% 27.91/18.44 (v90(constB111, 0) | v90(constB111, 1) | (~v90(constB111, 2))),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14918, 1565, 14915])).
% 27.91/18.44 tff(14920,plain,
% 27.91/18.44 (~v90(constB111, 2)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14919, 14814, 14611])).
% 27.91/18.44 tff(14921,plain,
% 27.91/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB110, 2)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB110, 2)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 2))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14922,plain,
% 27.91/18.44 (((~nextState(constB110, constB111)) | (~v90(constB110, 2)) | v100(constB111) | v90(constB111, 2)) <=> ((~v90(constB110, 2)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 2))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14923,plain,
% 27.91/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB110, constB111)) | (~v90(constB110, 2)) | v100(constB111) | v90(constB111, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB110, 2)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 2)))),
% 27.91/18.44 inference(monotonicity,[status(thm)],[14922])).
% 27.91/18.44 tff(14924,plain,
% 27.91/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB110, constB111)) | (~v90(constB110, 2)) | v100(constB111) | v90(constB111, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB110, 2)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 2))),
% 27.91/18.44 inference(transitivity,[status(thm)],[14923, 14921])).
% 27.91/18.44 tff(14925,plain,
% 27.91/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB110, constB111)) | (~v90(constB110, 2)) | v100(constB111) | v90(constB111, 2))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14926,plain,
% 27.91/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB110, 2)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 2)),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14925, 14924])).
% 27.91/18.44 tff(14927,plain,
% 27.91/18.44 ((~v90(constB110, 2)) | v100(constB111) | v90(constB111, 2)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14926, 1546, 14516])).
% 27.91/18.44 tff(14928,plain,
% 27.91/18.44 ((~v90(constB110, 2)) | v90(constB111, 2)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14927, 14528])).
% 27.91/18.44 tff(14929,plain,
% 27.91/18.44 (~v90(constB110, 2)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14928, 14920])).
% 27.91/18.44 tff(14930,plain,
% 27.91/18.44 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB110, 2) | (~v129(constB110, 2)) | (~v100(constB110)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB110, 2) | (~v129(constB110, 2)) | (~v100(constB110)))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14931,plain,
% 27.91/18.44 ((v90(constB110, 2) | (~v100(constB110)) | (~v129(constB110, 2))) <=> (v90(constB110, 2) | (~v129(constB110, 2)) | (~v100(constB110)))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14932,plain,
% 27.91/18.44 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB110, 2) | (~v100(constB110)) | (~v129(constB110, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB110, 2) | (~v129(constB110, 2)) | (~v100(constB110))))),
% 27.91/18.44 inference(monotonicity,[status(thm)],[14931])).
% 27.91/18.44 tff(14933,plain,
% 27.91/18.44 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB110, 2) | (~v100(constB110)) | (~v129(constB110, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB110, 2) | (~v129(constB110, 2)) | (~v100(constB110)))),
% 27.91/18.44 inference(transitivity,[status(thm)],[14932, 14930])).
% 27.91/18.44 tff(14934,plain,
% 27.91/18.44 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB110, 2) | (~v100(constB110)) | (~v129(constB110, 2)))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14935,plain,
% 27.91/18.44 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB110, 2) | (~v129(constB110, 2)) | (~v100(constB110))),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14934, 14933])).
% 27.91/18.44 tff(14936,plain,
% 27.91/18.44 (v90(constB110, 2) | (~v129(constB110, 2))),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14935, 1528, 14640])).
% 27.91/18.44 tff(14937,plain,
% 27.91/18.44 (~v129(constB110, 2)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14936, 14929])).
% 27.91/18.44 tff(14938,plain,
% 27.91/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB109, constB110)) | (~v127(constB109, 2)) | v129(constB110, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB109, constB110)) | (~v127(constB109, 2)) | v129(constB110, 2))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14939,plain,
% 27.91/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB109, constB110)) | (~v127(constB109, 2)) | v129(constB110, 2))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14940,plain,
% 27.91/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB109, constB110)) | (~v127(constB109, 2)) | v129(constB110, 2)),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14939, 14938])).
% 27.91/18.44 tff(14941,plain,
% 27.91/18.44 ((~v127(constB109, 2)) | v129(constB110, 2)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14940, 1513, 13894])).
% 27.91/18.44 tff(14942,plain,
% 27.91/18.44 (~v127(constB109, 2)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14941, 14937])).
% 27.91/18.44 tff(14943,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB109) | (~v130(constB109, 2)) | v127(constB109, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB109) | (~v130(constB109, 2)) | v127(constB109, 2))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14944,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB109) | (~v130(constB109, 2)) | v127(constB109, 2))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14945,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB109) | (~v130(constB109, 2)) | v127(constB109, 2)),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14944, 14943])).
% 27.91/18.44 tff(14946,plain,
% 27.91/18.44 ((~v130(constB109, 2)) | v127(constB109, 2)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14945, 1498, 13883])).
% 27.91/18.44 tff(14947,plain,
% 27.91/18.44 (~v130(constB109, 2)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14946, 14942])).
% 27.91/18.44 tff(14948,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB109)) | v130(constB109, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB109)) | v130(constB109, 2))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14949,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB109)) | v130(constB109, 2))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14950,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB109)) | v130(constB109, 2)),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14949, 14948])).
% 27.91/18.44 tff(14951,plain,
% 27.91/18.44 (~v122(constB109)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14950, 1484, 14947])).
% 27.91/18.44 tff(14952,assumption,(~v120(constB109)), introduced(assumption)).
% 27.91/18.44 tff(14953,plain,
% 27.91/18.44 (v119(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, 0)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14279, 2258, 14952])).
% 27.91/18.44 tff(14954,plain,
% 27.91/18.44 ($false),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14953, 14951, 14914, 14424, 14906, 14910, 14902])).
% 27.91/18.44 tff(14955,plain,(v90(constB111, 0) | v121(constB109) | v124(constB109) | v120(constB109) | (~v100(constB110)) | v90(constB111, 1) | v123(constB111)), inference(lemma,lemma(discharge,[]))).
% 27.91/18.44 tff(14956,plain,
% 27.91/18.44 (v123(constB111)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14955, 14901, 14743, 14611, 14736, 14621, 14669])).
% 27.91/18.44 tff(14957,assumption,(v123(constB111)), introduced(assumption)).
% 27.91/18.44 tff(14958,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB111)) | v115(constB111))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB111)) | v115(constB111))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14959,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB111)) | v115(constB111))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14960,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB111)) | v115(constB111)),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14959, 14958])).
% 27.91/18.44 tff(14961,plain,
% 27.91/18.44 (v115(constB111)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14960, 1579, 14957])).
% 27.91/18.44 tff(14962,plain,
% 27.91/18.44 (v114(constB111)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14803, 300, 14961])).
% 27.91/18.44 tff(14963,plain,
% 27.91/18.44 (v113(constB111)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14796, 314, 14962])).
% 27.91/18.44 tff(14964,plain,
% 27.91/18.44 (v112(constB111)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14789, 14963])).
% 27.91/18.44 tff(14965,plain,
% 27.91/18.44 (v108(constB111)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14784, 340, 14964])).
% 27.91/18.44 tff(14966,plain,
% 27.91/18.44 (v110(constB112)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14777, 14965])).
% 27.91/18.44 tff(14967,plain,
% 27.91/18.44 (v100(constB112)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14769, 14966])).
% 27.91/18.44 tff(14968,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB111)) | v130(constB111, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB111)) | v130(constB111, 2))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14969,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB111)) | v130(constB111, 2))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14970,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB111)) | v130(constB111, 2)),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14969, 14968])).
% 27.91/18.44 tff(14971,plain,
% 27.91/18.44 (v130(constB111, 2)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14970, 1656, 14957])).
% 27.91/18.44 tff(14972,plain,
% 27.91/18.44 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB111) | (~v130(constB111, 2)) | v127(constB111, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB111) | (~v130(constB111, 2)) | v127(constB111, 2))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14973,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB111) | (~v130(constB111, 2)) | v127(constB111, 2))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14974,plain,
% 27.91/18.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB111) | (~v130(constB111, 2)) | v127(constB111, 2)),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14973, 14972])).
% 27.91/18.44 tff(14975,plain,
% 27.91/18.44 ((~v130(constB111, 2)) | v127(constB111, 2)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14974, 1498, 14594])).
% 27.91/18.44 tff(14976,plain,
% 27.91/18.44 (v127(constB111, 2)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14975, 14971])).
% 27.91/18.44 tff(14977,plain,
% 27.91/18.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB111, constB112)) | (~v127(constB111, 2)) | v129(constB112, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB111, constB112)) | (~v127(constB111, 2)) | v129(constB112, 2))),
% 27.91/18.44 inference(rewrite,[status(thm)],[])).
% 27.91/18.44 tff(14978,plain,
% 27.91/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB111, constB112)) | (~v127(constB111, 2)) | v129(constB112, 2))),
% 27.91/18.44 inference(quant_inst,[status(thm)],[])).
% 27.91/18.44 tff(14979,plain,
% 27.91/18.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB111, constB112)) | (~v127(constB111, 2)) | v129(constB112, 2)),
% 27.91/18.44 inference(modus_ponens,[status(thm)],[14978, 14977])).
% 27.91/18.44 tff(14980,plain,
% 27.91/18.44 ((~v127(constB111, 2)) | v129(constB112, 2)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14979, 1513, 14605])).
% 27.91/18.44 tff(14981,plain,
% 27.91/18.44 (v129(constB112, 2)),
% 27.91/18.44 inference(unit_resolution,[status(thm)],[14980, 14976])).
% 27.91/18.45 tff(14982,plain,
% 27.91/18.45 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB112, 2) | (~v129(constB112, 2)) | (~v100(constB112)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB112, 2) | (~v129(constB112, 2)) | (~v100(constB112)))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(14983,plain,
% 27.91/18.45 ((v90(constB112, 2) | (~v100(constB112)) | (~v129(constB112, 2))) <=> (v90(constB112, 2) | (~v129(constB112, 2)) | (~v100(constB112)))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(14984,plain,
% 27.91/18.45 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB112, 2) | (~v100(constB112)) | (~v129(constB112, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB112, 2) | (~v129(constB112, 2)) | (~v100(constB112))))),
% 27.91/18.45 inference(monotonicity,[status(thm)],[14983])).
% 27.91/18.45 tff(14985,plain,
% 27.91/18.45 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB112, 2) | (~v100(constB112)) | (~v129(constB112, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB112, 2) | (~v129(constB112, 2)) | (~v100(constB112)))),
% 27.91/18.45 inference(transitivity,[status(thm)],[14984, 14982])).
% 27.91/18.45 tff(14986,plain,
% 27.91/18.45 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB112, 2) | (~v100(constB112)) | (~v129(constB112, 2)))),
% 27.91/18.45 inference(quant_inst,[status(thm)],[])).
% 27.91/18.45 tff(14987,plain,
% 27.91/18.45 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB112, 2) | (~v129(constB112, 2)) | (~v100(constB112))),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[14986, 14985])).
% 27.91/18.45 tff(14988,plain,
% 27.91/18.45 (v90(constB112, 2) | (~v100(constB112))),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[14987, 1528, 14981])).
% 27.91/18.45 tff(14989,plain,
% 27.91/18.45 (v90(constB112, 2)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[14988, 14967])).
% 27.91/18.45 tff(14990,plain,
% 27.91/18.45 ((~v1(constB113)) <=> (~v1(constB113))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(14991,axiom,(~v1(constB113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_113_1_1')).
% 27.91/18.45 tff(14992,plain,
% 27.91/18.45 (~v1(constB113)),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[14991, 14990])).
% 27.91/18.45 tff(14993,plain,
% 27.91/18.45 (nextState(constB112, constB113) <=> nextState(constB112, constB113)),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(14994,axiom,(nextState(constB112, constB113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_112_1')).
% 27.91/18.45 tff(14995,plain,
% 27.91/18.45 (nextState(constB112, constB113)),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[14994, 14993])).
% 27.91/18.45 tff(14996,plain,
% 27.91/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(14997,plain,
% 27.91/18.45 (((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113)) <=> (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(14998,plain,
% 27.91/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113))))),
% 27.91/18.45 inference(monotonicity,[status(thm)],[14997])).
% 27.91/18.45 tff(14999,plain,
% 27.91/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 27.91/18.45 inference(transitivity,[status(thm)],[14998, 14996])).
% 27.91/18.45 tff(15000,plain,
% 27.91/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))),
% 27.91/18.45 inference(quant_inst,[status(thm)],[])).
% 27.91/18.45 tff(15001,plain,
% 27.91/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113))),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[15000, 14999])).
% 27.91/18.45 tff(15002,plain,
% 27.91/18.45 (~v101(constB113)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15001, 138, 14995, 14992])).
% 27.91/18.45 tff(15003,plain,
% 27.91/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15004,plain,
% 27.91/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))),
% 27.91/18.45 inference(quant_inst,[status(thm)],[])).
% 27.91/18.45 tff(15005,plain,
% 27.91/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113))),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[15004, 15003])).
% 27.91/18.45 tff(15006,plain,
% 27.91/18.45 (v101(constB113) | (~v100(constB113))),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15005, 155, 14995])).
% 27.91/18.45 tff(15007,plain,
% 27.91/18.45 (~v100(constB113)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15006, 15002])).
% 27.91/18.45 tff(15008,plain,
% 27.91/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB112, 2)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB112, 2)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 2))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15009,plain,
% 27.91/18.45 (((~nextState(constB112, constB113)) | (~v90(constB112, 2)) | v100(constB113) | v90(constB113, 2)) <=> ((~v90(constB112, 2)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 2))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15010,plain,
% 27.91/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB112, constB113)) | (~v90(constB112, 2)) | v100(constB113) | v90(constB113, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB112, 2)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 2)))),
% 27.91/18.45 inference(monotonicity,[status(thm)],[15009])).
% 27.91/18.45 tff(15011,plain,
% 27.91/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB112, constB113)) | (~v90(constB112, 2)) | v100(constB113) | v90(constB113, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB112, 2)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 2))),
% 27.91/18.45 inference(transitivity,[status(thm)],[15010, 15008])).
% 27.91/18.45 tff(15012,plain,
% 27.91/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB112, constB113)) | (~v90(constB112, 2)) | v100(constB113) | v90(constB113, 2))),
% 27.91/18.45 inference(quant_inst,[status(thm)],[])).
% 27.91/18.45 tff(15013,plain,
% 27.91/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB112, 2)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 2)),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[15012, 15011])).
% 27.91/18.45 tff(15014,plain,
% 27.91/18.45 ((~v90(constB112, 2)) | v100(constB113) | v90(constB113, 2)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15013, 1546, 14995])).
% 27.91/18.45 tff(15015,plain,
% 27.91/18.45 ((~v90(constB112, 2)) | v90(constB113, 2)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15014, 15007])).
% 27.91/18.45 tff(15016,plain,
% 27.91/18.45 (v90(constB113, 2)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15015, 14989])).
% 27.91/18.45 tff(15017,plain,
% 27.91/18.45 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB111)) | v130(constB111, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB111)) | v130(constB111, 0))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15018,plain,
% 27.91/18.45 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB111)) | v130(constB111, 0))),
% 27.91/18.45 inference(quant_inst,[status(thm)],[])).
% 27.91/18.45 tff(15019,plain,
% 27.91/18.45 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB111)) | v130(constB111, 0)),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[15018, 15017])).
% 27.91/18.45 tff(15020,plain,
% 27.91/18.45 (v130(constB111, 0)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15019, 1753, 14957])).
% 27.91/18.45 tff(15021,plain,
% 27.91/18.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB111) | (~v130(constB111, 0)) | v127(constB111, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB111) | (~v130(constB111, 0)) | v127(constB111, 0))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15022,plain,
% 27.91/18.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB111) | (~v130(constB111, 0)) | v127(constB111, 0))),
% 27.91/18.45 inference(quant_inst,[status(thm)],[])).
% 27.91/18.45 tff(15023,plain,
% 27.91/18.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB111) | (~v130(constB111, 0)) | v127(constB111, 0)),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[15022, 15021])).
% 27.91/18.45 tff(15024,plain,
% 27.91/18.45 ((~v130(constB111, 0)) | v127(constB111, 0)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15023, 612, 14594])).
% 27.91/18.45 tff(15025,plain,
% 27.91/18.45 (v127(constB111, 0)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15024, 15020])).
% 27.91/18.45 tff(15026,plain,
% 27.91/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB111, constB112)) | (~v127(constB111, 0)) | v129(constB112, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB111, constB112)) | (~v127(constB111, 0)) | v129(constB112, 0))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15027,plain,
% 27.91/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB111, constB112)) | (~v127(constB111, 0)) | v129(constB112, 0))),
% 27.91/18.45 inference(quant_inst,[status(thm)],[])).
% 27.91/18.45 tff(15028,plain,
% 27.91/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB111, constB112)) | (~v127(constB111, 0)) | v129(constB112, 0)),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[15027, 15026])).
% 27.91/18.45 tff(15029,plain,
% 27.91/18.45 ((~v127(constB111, 0)) | v129(constB112, 0)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15028, 627, 14605])).
% 27.91/18.45 tff(15030,plain,
% 27.91/18.45 (v129(constB112, 0)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15029, 15025])).
% 27.91/18.45 tff(15031,plain,
% 27.91/18.45 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB112, 0) | (~v129(constB112, 0)) | (~v100(constB112)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB112, 0) | (~v129(constB112, 0)) | (~v100(constB112)))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15032,plain,
% 27.91/18.45 ((v90(constB112, 0) | (~v100(constB112)) | (~v129(constB112, 0))) <=> (v90(constB112, 0) | (~v129(constB112, 0)) | (~v100(constB112)))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15033,plain,
% 27.91/18.45 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB112, 0) | (~v100(constB112)) | (~v129(constB112, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB112, 0) | (~v129(constB112, 0)) | (~v100(constB112))))),
% 27.91/18.45 inference(monotonicity,[status(thm)],[15032])).
% 27.91/18.45 tff(15034,plain,
% 27.91/18.45 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB112, 0) | (~v100(constB112)) | (~v129(constB112, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB112, 0) | (~v129(constB112, 0)) | (~v100(constB112)))),
% 27.91/18.45 inference(transitivity,[status(thm)],[15033, 15031])).
% 27.91/18.45 tff(15035,plain,
% 27.91/18.45 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB112, 0) | (~v100(constB112)) | (~v129(constB112, 0)))),
% 27.91/18.45 inference(quant_inst,[status(thm)],[])).
% 27.91/18.45 tff(15036,plain,
% 27.91/18.45 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB112, 0) | (~v129(constB112, 0)) | (~v100(constB112))),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[15035, 15034])).
% 27.91/18.45 tff(15037,plain,
% 27.91/18.45 (v90(constB112, 0) | (~v100(constB112))),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15036, 642, 15030])).
% 27.91/18.45 tff(15038,plain,
% 27.91/18.45 (v90(constB112, 0)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15037, 14967])).
% 27.91/18.45 tff(15039,plain,
% 27.91/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB112, 0)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB112, 0)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 0))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15040,plain,
% 27.91/18.45 (((~nextState(constB112, constB113)) | (~v90(constB112, 0)) | v100(constB113) | v90(constB113, 0)) <=> ((~v90(constB112, 0)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 0))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15041,plain,
% 27.91/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB112, constB113)) | (~v90(constB112, 0)) | v100(constB113) | v90(constB113, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB112, 0)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 0)))),
% 27.91/18.45 inference(monotonicity,[status(thm)],[15040])).
% 27.91/18.45 tff(15042,plain,
% 27.91/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB112, constB113)) | (~v90(constB112, 0)) | v100(constB113) | v90(constB113, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB112, 0)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 0))),
% 27.91/18.45 inference(transitivity,[status(thm)],[15041, 15039])).
% 27.91/18.45 tff(15043,plain,
% 27.91/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB112, constB113)) | (~v90(constB112, 0)) | v100(constB113) | v90(constB113, 0))),
% 27.91/18.45 inference(quant_inst,[status(thm)],[])).
% 27.91/18.45 tff(15044,plain,
% 27.91/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB112, 0)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 0)),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[15043, 15042])).
% 27.91/18.45 tff(15045,plain,
% 27.91/18.45 ((~v90(constB112, 0)) | v100(constB113) | v90(constB113, 0)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15044, 660, 14995])).
% 27.91/18.45 tff(15046,plain,
% 27.91/18.45 ((~v90(constB112, 0)) | v90(constB113, 0)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15045, 15007])).
% 27.91/18.45 tff(15047,plain,
% 27.91/18.45 (v90(constB113, 0)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15046, 15038])).
% 27.91/18.45 tff(15048,plain,
% 27.91/18.45 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB111)) | (~v130(constB111, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB111)) | (~v130(constB111, 1)))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15049,plain,
% 27.91/18.45 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB111)) | (~v130(constB111, 1)))),
% 27.91/18.45 inference(quant_inst,[status(thm)],[])).
% 27.91/18.45 tff(15050,plain,
% 27.91/18.45 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB111)) | (~v130(constB111, 1))),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[15049, 15048])).
% 27.91/18.45 tff(15051,plain,
% 27.91/18.45 (~v130(constB111, 1)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15050, 1712, 14957])).
% 27.91/18.45 tff(15052,plain,
% 27.91/18.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB111, 1)) | v26(constB111) | v130(constB111, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB111, 1)) | v26(constB111) | v130(constB111, 1))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15053,plain,
% 27.91/18.45 ((v26(constB111) | v130(constB111, 1) | (~v127(constB111, 1))) <=> ((~v127(constB111, 1)) | v26(constB111) | v130(constB111, 1))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15054,plain,
% 27.91/18.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB111) | v130(constB111, 1) | (~v127(constB111, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB111, 1)) | v26(constB111) | v130(constB111, 1)))),
% 27.91/18.45 inference(monotonicity,[status(thm)],[15053])).
% 27.91/18.45 tff(15055,plain,
% 27.91/18.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB111) | v130(constB111, 1) | (~v127(constB111, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB111, 1)) | v26(constB111) | v130(constB111, 1))),
% 27.91/18.45 inference(transitivity,[status(thm)],[15054, 15052])).
% 27.91/18.45 tff(15056,plain,
% 27.91/18.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB111) | v130(constB111, 1) | (~v127(constB111, 1)))),
% 27.91/18.45 inference(quant_inst,[status(thm)],[])).
% 27.91/18.45 tff(15057,plain,
% 27.91/18.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB111, 1)) | v26(constB111) | v130(constB111, 1)),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[15056, 15055])).
% 27.91/18.45 tff(15058,plain,
% 27.91/18.45 ((~v127(constB111, 1)) | v130(constB111, 1)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15057, 541, 14594])).
% 27.91/18.45 tff(15059,plain,
% 27.91/18.45 (~v127(constB111, 1)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15058, 15051])).
% 27.91/18.45 tff(15060,plain,
% 27.91/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB111, constB112)) | v127(constB111, 1) | (~v129(constB112, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB111, constB112)) | v127(constB111, 1) | (~v129(constB112, 1)))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15061,plain,
% 27.91/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB111, constB112)) | v127(constB111, 1) | (~v129(constB112, 1)))),
% 27.91/18.45 inference(quant_inst,[status(thm)],[])).
% 27.91/18.45 tff(15062,plain,
% 27.91/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB111, constB112)) | v127(constB111, 1) | (~v129(constB112, 1))),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[15061, 15060])).
% 27.91/18.45 tff(15063,plain,
% 27.91/18.45 (v127(constB111, 1) | (~v129(constB112, 1))),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15062, 559, 14605])).
% 27.91/18.45 tff(15064,plain,
% 27.91/18.45 (~v129(constB112, 1)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15063, 15059])).
% 27.91/18.45 tff(15065,plain,
% 27.91/18.45 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB112, 1)) | v129(constB112, 1) | (~v100(constB112)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB112, 1)) | v129(constB112, 1) | (~v100(constB112)))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15066,plain,
% 27.91/18.45 (((~v90(constB112, 1)) | (~v100(constB112)) | v129(constB112, 1)) <=> ((~v90(constB112, 1)) | v129(constB112, 1) | (~v100(constB112)))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15067,plain,
% 27.91/18.45 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB112, 1)) | (~v100(constB112)) | v129(constB112, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB112, 1)) | v129(constB112, 1) | (~v100(constB112))))),
% 27.91/18.45 inference(monotonicity,[status(thm)],[15066])).
% 27.91/18.45 tff(15068,plain,
% 27.91/18.45 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB112, 1)) | (~v100(constB112)) | v129(constB112, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB112, 1)) | v129(constB112, 1) | (~v100(constB112)))),
% 27.91/18.45 inference(transitivity,[status(thm)],[15067, 15065])).
% 27.91/18.45 tff(15069,plain,
% 27.91/18.45 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB112, 1)) | (~v100(constB112)) | v129(constB112, 1))),
% 27.91/18.45 inference(quant_inst,[status(thm)],[])).
% 27.91/18.45 tff(15070,plain,
% 27.91/18.45 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB112, 1)) | v129(constB112, 1) | (~v100(constB112))),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[15069, 15068])).
% 27.91/18.45 tff(15071,plain,
% 27.91/18.45 ((~v90(constB112, 1)) | (~v100(constB112))),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15070, 574, 15064])).
% 27.91/18.45 tff(15072,plain,
% 27.91/18.45 (~v90(constB112, 1)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15071, 14967])).
% 27.91/18.45 tff(15073,plain,
% 27.91/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB112, 1) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB112, 1) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 1)))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15074,plain,
% 27.91/18.45 (((~nextState(constB112, constB113)) | v90(constB112, 1) | v100(constB113) | (~v90(constB113, 1))) <=> (v90(constB112, 1) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 1)))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15075,plain,
% 27.91/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB112, constB113)) | v90(constB112, 1) | v100(constB113) | (~v90(constB113, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB112, 1) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 1))))),
% 27.91/18.45 inference(monotonicity,[status(thm)],[15074])).
% 27.91/18.45 tff(15076,plain,
% 27.91/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB112, constB113)) | v90(constB112, 1) | v100(constB113) | (~v90(constB113, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB112, 1) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 1)))),
% 27.91/18.45 inference(transitivity,[status(thm)],[15075, 15073])).
% 27.91/18.45 tff(15077,plain,
% 27.91/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB112, constB113)) | v90(constB112, 1) | v100(constB113) | (~v90(constB113, 1)))),
% 27.91/18.45 inference(quant_inst,[status(thm)],[])).
% 27.91/18.45 tff(15078,plain,
% 27.91/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB112, 1) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 1))),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[15077, 15076])).
% 27.91/18.45 tff(15079,plain,
% 27.91/18.45 (v90(constB112, 1) | v100(constB113) | (~v90(constB113, 1))),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15078, 191, 14995])).
% 27.91/18.45 tff(15080,plain,
% 27.91/18.45 (v90(constB112, 1) | (~v90(constB113, 1))),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15079, 15007])).
% 27.91/18.45 tff(15081,plain,
% 27.91/18.45 (~v90(constB113, 1)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15080, 15072])).
% 27.91/18.45 tff(15082,assumption,(~v124(constB113)), introduced(assumption)).
% 27.91/18.45 tff(15083,plain,
% 27.91/18.45 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB113, 0)) | v90(constB113, 1) | (~v90(constB113, 2)) | v124(constB113))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB113, 0)) | v90(constB113, 1) | (~v90(constB113, 2)) | v124(constB113))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15084,plain,
% 27.91/18.45 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB113, 0)) | v90(constB113, 1) | (~v90(constB113, 2)) | v124(constB113))),
% 27.91/18.45 inference(quant_inst,[status(thm)],[])).
% 27.91/18.45 tff(15085,plain,
% 27.91/18.45 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB113, 0)) | v90(constB113, 1) | (~v90(constB113, 2)) | v124(constB113)),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[15084, 15083])).
% 27.91/18.45 tff(15086,plain,
% 27.91/18.45 ((~v90(constB113, 0)) | v90(constB113, 1) | (~v90(constB113, 2))),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15085, 1794, 15082])).
% 27.91/18.45 tff(15087,plain,
% 27.91/18.45 ($false),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15086, 15081, 15047, 15016])).
% 27.91/18.45 tff(15088,plain,((~v123(constB111)) | v124(constB113)), inference(lemma,lemma(discharge,[]))).
% 27.91/18.45 tff(15089,plain,
% 27.91/18.45 (v124(constB113)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15088, 14956])).
% 27.91/18.45 tff(15090,plain,
% 27.91/18.45 (~v90(constB112, 0)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[14898, 14744, 14611, 14860])).
% 27.91/18.45 tff(15091,plain,
% 27.91/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB112, 0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB112, 0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 0)))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15092,plain,
% 27.91/18.45 (((~nextState(constB112, constB113)) | v90(constB112, 0) | v100(constB113) | (~v90(constB113, 0))) <=> (v90(constB112, 0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 0)))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15093,plain,
% 27.91/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB112, constB113)) | v90(constB112, 0) | v100(constB113) | (~v90(constB113, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB112, 0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 0))))),
% 27.91/18.45 inference(monotonicity,[status(thm)],[15092])).
% 27.91/18.45 tff(15094,plain,
% 27.91/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB112, constB113)) | v90(constB112, 0) | v100(constB113) | (~v90(constB113, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB112, 0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 0)))),
% 27.91/18.45 inference(transitivity,[status(thm)],[15093, 15091])).
% 27.91/18.45 tff(15095,plain,
% 27.91/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB112, constB113)) | v90(constB112, 0) | v100(constB113) | (~v90(constB113, 0)))),
% 27.91/18.45 inference(quant_inst,[status(thm)],[])).
% 27.91/18.45 tff(15096,plain,
% 27.91/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB112, 0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 0))),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[15095, 15094])).
% 27.91/18.45 tff(15097,plain,
% 27.91/18.45 (v90(constB112, 0) | v100(constB113) | (~v90(constB113, 0))),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15096, 212, 14995])).
% 27.91/18.45 tff(15098,plain,
% 27.91/18.45 (v90(constB112, 0) | (~v90(constB113, 0))),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15097, 15007])).
% 27.91/18.45 tff(15099,plain,
% 27.91/18.45 (~v90(constB113, 0)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15098, 15090])).
% 27.91/18.45 tff(15100,plain,
% 27.91/18.45 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB113)) | v90(constB113, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB113)) | v90(constB113, 0))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15101,plain,
% 27.91/18.45 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB113)) | v90(constB113, 0))),
% 27.91/18.45 inference(quant_inst,[status(thm)],[])).
% 27.91/18.45 tff(15102,plain,
% 27.91/18.45 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB113)) | v90(constB113, 0)),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[15101, 15100])).
% 27.91/18.45 tff(15103,plain,
% 27.91/18.45 ($false),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15102, 4876, 15099, 15089])).
% 27.91/18.45 tff(15104,plain,(v100(constB112) | v90(constB111, 1)), inference(lemma,lemma(discharge,[]))).
% 27.91/18.45 tff(15105,plain,
% 27.91/18.45 (v100(constB112)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15104, 14537])).
% 27.91/18.45 tff(15106,plain,
% 27.91/18.45 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB112, 2)) | v129(constB112, 2) | (~v100(constB112)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB112, 2)) | v129(constB112, 2) | (~v100(constB112)))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15107,plain,
% 27.91/18.45 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB112, 2)) | v129(constB112, 2) | (~v100(constB112)))),
% 27.91/18.45 inference(quant_inst,[status(thm)],[])).
% 27.91/18.45 tff(15108,plain,
% 27.91/18.45 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB112, 2)) | v129(constB112, 2) | (~v100(constB112))),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[15107, 15106])).
% 27.91/18.45 tff(15109,plain,
% 27.91/18.45 ((~v90(constB112, 2)) | v129(constB112, 2)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15108, 488, 15105])).
% 27.91/18.45 tff(15110,plain,
% 27.91/18.45 (~v90(constB112, 2)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15109, 14610])).
% 27.91/18.45 tff(15111,plain,
% 27.91/18.45 (v100(constB112)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15104, 14611])).
% 27.91/18.45 tff(15112,plain,
% 27.91/18.45 (v90(constB112, 2) | (~v129(constB112, 2))),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[14987, 1528, 15111])).
% 27.91/18.45 tff(15113,plain,
% 27.91/18.45 (~v129(constB112, 2)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15112, 14805])).
% 27.91/18.45 tff(15114,plain,
% 27.91/18.45 (~v127(constB111, 2)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[14980, 15113])).
% 27.91/18.45 tff(15115,plain,
% 27.91/18.45 (~v130(constB111, 2)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[14975, 15114])).
% 27.91/18.45 tff(15116,plain,
% 27.91/18.45 (~v123(constB111)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[14970, 1656, 15115])).
% 27.91/18.45 tff(15117,assumption,(~v121(constB113)), introduced(assumption)).
% 27.91/18.45 tff(15118,assumption,(v100(constB112)), introduced(assumption)).
% 27.91/18.45 tff(15119,plain,
% 27.91/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB111, constB112)) | v110(constB112) | (~v100(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v100(constB112)))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15120,plain,
% 27.91/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB111, constB112)) | v110(constB112) | (~v100(constB112)))),
% 27.91/18.45 inference(quant_inst,[status(thm)],[])).
% 27.91/18.45 tff(15121,plain,
% 27.91/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v100(constB112))),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[15120, 15119])).
% 27.91/18.45 tff(15122,plain,
% 27.91/18.45 (v110(constB112) | (~v100(constB112))),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15121, 4627, 14605])).
% 27.91/18.45 tff(15123,plain,
% 27.91/18.45 (v110(constB112)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15122, 15118])).
% 27.91/18.45 tff(15124,plain,
% 27.91/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB111, constB112)) | (~v110(constB112)) | v108(constB111))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB111, constB112)) | (~v110(constB112)) | v108(constB111))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15125,plain,
% 27.91/18.45 (((~nextState(constB111, constB112)) | v108(constB111) | (~v110(constB112))) <=> ((~nextState(constB111, constB112)) | (~v110(constB112)) | v108(constB111))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15126,plain,
% 27.91/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB111, constB112)) | v108(constB111) | (~v110(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB111, constB112)) | (~v110(constB112)) | v108(constB111)))),
% 27.91/18.45 inference(monotonicity,[status(thm)],[15125])).
% 27.91/18.45 tff(15127,plain,
% 27.91/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB111, constB112)) | v108(constB111) | (~v110(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB111, constB112)) | (~v110(constB112)) | v108(constB111))),
% 27.91/18.45 inference(transitivity,[status(thm)],[15126, 15124])).
% 27.91/18.45 tff(15128,plain,
% 27.91/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB111, constB112)) | v108(constB111) | (~v110(constB112)))),
% 27.91/18.45 inference(quant_inst,[status(thm)],[])).
% 27.91/18.45 tff(15129,plain,
% 27.91/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB111, constB112)) | (~v110(constB112)) | v108(constB111)),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[15128, 15127])).
% 27.91/18.45 tff(15130,plain,
% 27.91/18.45 ((~v110(constB112)) | v108(constB111)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15129, 4642, 14605])).
% 27.91/18.45 tff(15131,plain,
% 27.91/18.45 (v108(constB111)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15130, 15123])).
% 27.91/18.45 tff(15132,plain,
% 27.91/18.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB111)) | v26(constB111) | v112(constB111))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB111)) | v26(constB111) | v112(constB111))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15133,plain,
% 27.91/18.45 ((v26(constB111) | v112(constB111) | (~v108(constB111))) <=> ((~v108(constB111)) | v26(constB111) | v112(constB111))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15134,plain,
% 27.91/18.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB111) | v112(constB111) | (~v108(constB111)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB111)) | v26(constB111) | v112(constB111)))),
% 27.91/18.45 inference(monotonicity,[status(thm)],[15133])).
% 27.91/18.45 tff(15135,plain,
% 27.91/18.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB111) | v112(constB111) | (~v108(constB111)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB111)) | v26(constB111) | v112(constB111))),
% 27.91/18.45 inference(transitivity,[status(thm)],[15134, 15132])).
% 27.91/18.45 tff(15136,plain,
% 27.91/18.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB111) | v112(constB111) | (~v108(constB111)))),
% 27.91/18.45 inference(quant_inst,[status(thm)],[])).
% 27.91/18.45 tff(15137,plain,
% 27.91/18.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB111)) | v26(constB111) | v112(constB111)),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[15136, 15135])).
% 27.91/18.45 tff(15138,plain,
% 27.91/18.45 ((~v108(constB111)) | v112(constB111)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15137, 4660, 14594])).
% 27.91/18.45 tff(15139,plain,
% 27.91/18.45 (v112(constB111)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15138, 15131])).
% 27.91/18.45 tff(15140,plain,
% 27.91/18.45 (((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB111) | (~v112(constB111)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB111) | (~v112(constB111)))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15141,plain,
% 27.91/18.45 ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB111) | (~v112(constB111)))),
% 27.91/18.45 inference(quant_inst,[status(thm)],[])).
% 27.91/18.45 tff(15142,plain,
% 27.91/18.45 ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB111) | (~v112(constB111))),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[15141, 15140])).
% 27.91/18.45 tff(15143,plain,
% 27.91/18.45 (v113(constB111)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15142, 4678, 15139])).
% 27.91/18.45 tff(15144,assumption,(~v122(constB113)), introduced(assumption)).
% 27.91/18.45 tff(15145,assumption,(v121(constB111)), introduced(assumption)).
% 27.91/18.45 tff(15146,plain,
% 27.91/18.45 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB111)) | v117(constB111))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB111)) | v117(constB111))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15147,plain,
% 27.91/18.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB111)) | v117(constB111))),
% 27.91/18.45 inference(quant_inst,[status(thm)],[])).
% 27.91/18.45 tff(15148,plain,
% 27.91/18.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB111)) | v117(constB111)),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[15147, 15146])).
% 27.91/18.45 tff(15149,plain,
% 27.91/18.45 (v117(constB111)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15148, 1004, 15145])).
% 27.91/18.45 tff(15150,plain,
% 27.91/18.45 (v116(constB111)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[14839, 272, 15149])).
% 27.91/18.45 tff(15151,plain,
% 27.91/18.45 (v115(constB111)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[14846, 286, 15150])).
% 27.91/18.45 tff(15152,plain,
% 27.91/18.45 (v114(constB111)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[14803, 300, 15151])).
% 27.91/18.45 tff(15153,plain,
% 27.91/18.45 (v113(constB111)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[14796, 314, 15152])).
% 27.91/18.45 tff(15154,plain,
% 27.91/18.45 (v112(constB111)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[14789, 15153])).
% 27.91/18.45 tff(15155,plain,
% 27.91/18.45 (v108(constB111)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[14784, 340, 15154])).
% 27.91/18.45 tff(15156,plain,
% 27.91/18.45 (v110(constB112)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[14777, 15155])).
% 27.91/18.45 tff(15157,plain,
% 27.91/18.45 (v100(constB112)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[14769, 15156])).
% 27.91/18.45 tff(15158,plain,
% 27.91/18.45 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB111)) | (~v130(constB111, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB111)) | (~v130(constB111, 2)))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15159,plain,
% 27.91/18.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB111)) | (~v130(constB111, 2)))),
% 27.91/18.45 inference(quant_inst,[status(thm)],[])).
% 27.91/18.45 tff(15160,plain,
% 27.91/18.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB111)) | (~v130(constB111, 2))),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[15159, 15158])).
% 27.91/18.45 tff(15161,plain,
% 27.91/18.45 (~v130(constB111, 2)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15160, 1155, 15145])).
% 27.91/18.45 tff(15162,plain,
% 27.91/18.45 (~v127(constB111, 2)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[14601, 15161])).
% 27.91/18.45 tff(15163,plain,
% 27.91/18.45 (~v129(constB112, 2)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[14609, 15162])).
% 27.91/18.45 tff(15164,plain,
% 27.91/18.45 ((~v90(constB112, 2)) | (~v100(constB112))),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15108, 488, 15163])).
% 27.91/18.45 tff(15165,plain,
% 27.91/18.45 (~v90(constB112, 2)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15164, 15157])).
% 27.91/18.45 tff(15166,plain,
% 27.91/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB112, 2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB112, 2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 2)))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15167,plain,
% 27.91/18.45 (((~nextState(constB112, constB113)) | v90(constB112, 2) | v100(constB113) | (~v90(constB113, 2))) <=> (v90(constB112, 2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 2)))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15168,plain,
% 27.91/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB112, constB113)) | v90(constB112, 2) | v100(constB113) | (~v90(constB113, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB112, 2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 2))))),
% 27.91/18.45 inference(monotonicity,[status(thm)],[15167])).
% 27.91/18.45 tff(15169,plain,
% 27.91/18.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB112, constB113)) | v90(constB112, 2) | v100(constB113) | (~v90(constB113, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB112, 2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 2)))),
% 27.91/18.45 inference(transitivity,[status(thm)],[15168, 15166])).
% 27.91/18.45 tff(15170,plain,
% 27.91/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB112, constB113)) | v90(constB112, 2) | v100(constB113) | (~v90(constB113, 2)))),
% 27.91/18.45 inference(quant_inst,[status(thm)],[])).
% 27.91/18.45 tff(15171,plain,
% 27.91/18.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB112, 2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 2))),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[15170, 15169])).
% 27.91/18.45 tff(15172,plain,
% 27.91/18.45 (v90(constB112, 2) | v100(constB113) | (~v90(constB113, 2))),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15171, 170, 14995])).
% 27.91/18.45 tff(15173,plain,
% 27.91/18.45 (v90(constB112, 2) | (~v90(constB113, 2))),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15172, 15007])).
% 27.91/18.45 tff(15174,plain,
% 27.91/18.45 (~v90(constB113, 2)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15173, 15165])).
% 27.91/18.45 tff(15175,plain,
% 27.91/18.45 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB111)) | v130(constB111, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB111)) | v130(constB111, 0))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15176,plain,
% 27.91/18.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB111)) | v130(constB111, 0))),
% 27.91/18.45 inference(quant_inst,[status(thm)],[])).
% 27.91/18.45 tff(15177,plain,
% 27.91/18.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB111)) | v130(constB111, 0)),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[15176, 15175])).
% 27.91/18.45 tff(15178,plain,
% 27.91/18.45 (v130(constB111, 0)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15177, 1099, 15145])).
% 27.91/18.45 tff(15179,plain,
% 27.91/18.45 (v127(constB111, 0)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15024, 15178])).
% 27.91/18.45 tff(15180,plain,
% 27.91/18.45 (v129(constB112, 0)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15029, 15179])).
% 27.91/18.45 tff(15181,plain,
% 27.91/18.45 (v90(constB112, 0) | (~v100(constB112))),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15036, 642, 15180])).
% 27.91/18.45 tff(15182,plain,
% 27.91/18.45 (v90(constB112, 0)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15181, 15157])).
% 27.91/18.45 tff(15183,plain,
% 27.91/18.45 (v90(constB113, 0)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15046, 15182])).
% 27.91/18.45 tff(15184,plain,
% 27.91/18.45 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB111)) | v130(constB111, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB111)) | v130(constB111, 1))),
% 27.91/18.45 inference(rewrite,[status(thm)],[])).
% 27.91/18.45 tff(15185,plain,
% 27.91/18.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB111)) | v130(constB111, 1))),
% 27.91/18.45 inference(quant_inst,[status(thm)],[])).
% 27.91/18.45 tff(15186,plain,
% 27.91/18.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB111)) | v130(constB111, 1)),
% 27.91/18.45 inference(modus_ponens,[status(thm)],[15185, 15184])).
% 27.91/18.45 tff(15187,plain,
% 27.91/18.45 (v130(constB111, 1)),
% 27.91/18.45 inference(unit_resolution,[status(thm)],[15186, 1235, 15145])).
% 27.91/18.45 tff(15188,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB111) | (~v130(constB111, 1)) | v127(constB111, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB111) | (~v130(constB111, 1)) | v127(constB111, 1))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15189,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB111) | (~v130(constB111, 1)) | v127(constB111, 1))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15190,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB111) | (~v130(constB111, 1)) | v127(constB111, 1)),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15189, 15188])).
% 27.91/18.46 tff(15191,plain,
% 27.91/18.46 ((~v130(constB111, 1)) | v127(constB111, 1)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15190, 855, 14594])).
% 27.91/18.46 tff(15192,plain,
% 27.91/18.46 (v127(constB111, 1)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15191, 15187])).
% 27.91/18.46 tff(15193,plain,
% 27.91/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB111, constB112)) | (~v127(constB111, 1)) | v129(constB112, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB111, constB112)) | (~v127(constB111, 1)) | v129(constB112, 1))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15194,plain,
% 27.91/18.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB111, constB112)) | (~v127(constB111, 1)) | v129(constB112, 1))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15195,plain,
% 27.91/18.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB111, constB112)) | (~v127(constB111, 1)) | v129(constB112, 1)),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15194, 15193])).
% 27.91/18.46 tff(15196,plain,
% 27.91/18.46 ((~v127(constB111, 1)) | v129(constB112, 1)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15195, 870, 14605])).
% 27.91/18.46 tff(15197,plain,
% 27.91/18.46 (v129(constB112, 1)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15196, 15192])).
% 27.91/18.46 tff(15198,plain,
% 27.91/18.46 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB112, 1) | (~v129(constB112, 1)) | (~v100(constB112)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB112, 1) | (~v129(constB112, 1)) | (~v100(constB112)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15199,plain,
% 27.91/18.46 ((v90(constB112, 1) | (~v100(constB112)) | (~v129(constB112, 1))) <=> (v90(constB112, 1) | (~v129(constB112, 1)) | (~v100(constB112)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15200,plain,
% 27.91/18.46 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB112, 1) | (~v100(constB112)) | (~v129(constB112, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB112, 1) | (~v129(constB112, 1)) | (~v100(constB112))))),
% 27.91/18.46 inference(monotonicity,[status(thm)],[15199])).
% 27.91/18.46 tff(15201,plain,
% 27.91/18.46 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB112, 1) | (~v100(constB112)) | (~v129(constB112, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB112, 1) | (~v129(constB112, 1)) | (~v100(constB112)))),
% 27.91/18.46 inference(transitivity,[status(thm)],[15200, 15198])).
% 27.91/18.46 tff(15202,plain,
% 27.91/18.46 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB112, 1) | (~v100(constB112)) | (~v129(constB112, 1)))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15203,plain,
% 27.91/18.46 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB112, 1) | (~v129(constB112, 1)) | (~v100(constB112))),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15202, 15201])).
% 27.91/18.46 tff(15204,plain,
% 27.91/18.46 (v90(constB112, 1) | (~v100(constB112))),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15203, 885, 15197])).
% 27.91/18.46 tff(15205,plain,
% 27.91/18.46 (v90(constB112, 1)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15204, 15157])).
% 27.91/18.46 tff(15206,plain,
% 27.91/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB112, 1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB112, 1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 1))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15207,plain,
% 27.91/18.46 (((~nextState(constB112, constB113)) | (~v90(constB112, 1)) | v100(constB113) | v90(constB113, 1)) <=> ((~v90(constB112, 1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 1))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15208,plain,
% 27.91/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB112, constB113)) | (~v90(constB112, 1)) | v100(constB113) | v90(constB113, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB112, 1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 1)))),
% 27.91/18.46 inference(monotonicity,[status(thm)],[15207])).
% 27.91/18.46 tff(15209,plain,
% 27.91/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB112, constB113)) | (~v90(constB112, 1)) | v100(constB113) | v90(constB113, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB112, 1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 1))),
% 27.91/18.46 inference(transitivity,[status(thm)],[15208, 15206])).
% 27.91/18.46 tff(15210,plain,
% 27.91/18.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB112, constB113)) | (~v90(constB112, 1)) | v100(constB113) | v90(constB113, 1))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15211,plain,
% 27.91/18.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB112, 1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 1)),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15210, 15209])).
% 27.91/18.46 tff(15212,plain,
% 27.91/18.46 ((~v90(constB112, 1)) | v100(constB113) | v90(constB113, 1)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15211, 903, 14995])).
% 27.91/18.46 tff(15213,plain,
% 27.91/18.46 ((~v90(constB112, 1)) | v90(constB113, 1)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15212, 15007])).
% 27.91/18.46 tff(15214,plain,
% 27.91/18.46 (v90(constB113, 1)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15213, 15205])).
% 27.91/18.46 tff(15215,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB113, 0)) | (~v90(constB113, 1)) | v90(constB113, 2) | v122(constB113))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB113, 0)) | (~v90(constB113, 1)) | v90(constB113, 2) | v122(constB113))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15216,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB113, 0)) | (~v90(constB113, 1)) | v90(constB113, 2) | v122(constB113))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15217,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB113, 0)) | (~v90(constB113, 1)) | v90(constB113, 2) | v122(constB113)),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15216, 15215])).
% 27.91/18.46 tff(15218,plain,
% 27.91/18.46 ((~v90(constB113, 0)) | (~v90(constB113, 1)) | v90(constB113, 2)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15217, 1260, 15144])).
% 27.91/18.46 tff(15219,plain,
% 27.91/18.46 ($false),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15218, 15214, 15183, 15174])).
% 27.91/18.46 tff(15220,plain,((~v121(constB111)) | v122(constB113)), inference(lemma,lemma(discharge,[]))).
% 27.91/18.46 tff(15221,plain,
% 27.91/18.46 (~v121(constB111)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15220, 15144])).
% 27.91/18.46 tff(15222,plain,
% 27.91/18.46 (v90(constB112, 2) | (~v129(constB112, 2))),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[14987, 1528, 15118])).
% 27.91/18.46 tff(15223,plain,
% 27.91/18.46 (~v129(constB112, 2)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15222, 14805])).
% 27.91/18.46 tff(15224,plain,
% 27.91/18.46 (~v127(constB111, 2)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[14980, 15223])).
% 27.91/18.46 tff(15225,plain,
% 27.91/18.46 (~v130(constB111, 2)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[14975, 15224])).
% 27.91/18.46 tff(15226,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB111)) | v130(constB111, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB111)) | v130(constB111, 2))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15227,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB111)) | v130(constB111, 2))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15228,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB111)) | v130(constB111, 2)),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15227, 15226])).
% 27.91/18.46 tff(15229,plain,
% 27.91/18.46 (~v124(constB111)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15228, 1873, 15225])).
% 27.91/18.46 tff(15230,plain,
% 27.91/18.46 (~v90(constB113, 2)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15173, 14805])).
% 27.91/18.46 tff(15231,assumption,(v90(constB113, 1)), introduced(assumption)).
% 27.91/18.46 tff(15232,assumption,(~v90(constB113, 2)), introduced(assumption)).
% 27.91/18.46 tff(15233,plain,
% 27.91/18.46 (~v90(constB113, 0)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15218, 15232, 15231])).
% 27.91/18.46 tff(15234,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB113, 0) | (~v90(constB113, 1)) | v90(constB113, 2) | v121(constB113))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB113, 0) | (~v90(constB113, 1)) | v90(constB113, 2) | v121(constB113))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15235,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB113, 0) | (~v90(constB113, 1)) | v90(constB113, 2) | v121(constB113))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15236,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB113, 0) | (~v90(constB113, 1)) | v90(constB113, 2) | v121(constB113)),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15235, 15234])).
% 27.91/18.46 tff(15237,plain,
% 27.91/18.46 (v90(constB113, 0) | (~v90(constB113, 1)) | v90(constB113, 2)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15236, 993, 15117])).
% 27.91/18.46 tff(15238,plain,
% 27.91/18.46 ($false),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15237, 15233, 15232, 15231])).
% 27.91/18.46 tff(15239,plain,(v90(constB113, 2) | (~v90(constB113, 1)) | v121(constB113) | v122(constB113)), inference(lemma,lemma(discharge,[]))).
% 27.91/18.46 tff(15240,plain,
% 27.91/18.46 (~v90(constB113, 1)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15239, 15230, 15144, 15117])).
% 27.91/18.46 tff(15241,plain,
% 27.91/18.46 (~v90(constB112, 1)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15213, 15240])).
% 27.91/18.46 tff(15242,plain,
% 27.91/18.46 (v90(constB112, 1) | (~v129(constB112, 1))),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15203, 885, 15118])).
% 27.91/18.46 tff(15243,plain,
% 27.91/18.46 (~v129(constB112, 1)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15242, 15241])).
% 27.91/18.46 tff(15244,plain,
% 27.91/18.46 (~v127(constB111, 1)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15196, 15243])).
% 27.91/18.46 tff(15245,plain,
% 27.91/18.46 (~v130(constB111, 1)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15191, 15244])).
% 27.91/18.46 tff(15246,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB111)) | v130(constB111, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB111)) | v130(constB111, 1))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15247,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB111)) | v130(constB111, 1))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15248,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB111)) | v130(constB111, 1)),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15247, 15246])).
% 27.91/18.46 tff(15249,plain,
% 27.91/18.46 (~v120(constB111)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15248, 841, 15245])).
% 27.91/18.46 tff(15250,plain,
% 27.91/18.46 (~v121(constB109)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[14668, 14621, 14662])).
% 27.91/18.46 tff(15251,plain,
% 27.91/18.46 (~v120(constB109)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[14735, 14621, 14729])).
% 27.91/18.46 tff(15252,plain,
% 27.91/18.46 (^[VarCurr: state_type] : refl(((~v125(VarCurr)) | v90(VarCurr, 1)) <=> ((~v125(VarCurr)) | v90(VarCurr, 1)))),
% 27.91/18.46 inference(bind,[status(th)],[])).
% 27.91/18.46 tff(15253,plain,
% 27.91/18.46 (![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 1))),
% 27.91/18.46 inference(quant_intro,[status(thm)],[15252])).
% 27.91/18.46 tff(15254,plain,
% 27.91/18.46 (![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 1))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15255,axiom,(![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_3')).
% 27.91/18.46 tff(15256,plain,
% 27.91/18.46 (![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 1))),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15255, 15254])).
% 27.91/18.46 tff(15257,plain,(
% 27.91/18.46 ![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 1))),
% 27.91/18.46 inference(skolemize,[status(sab)],[15256])).
% 27.91/18.46 tff(15258,plain,
% 27.91/18.46 (![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 1))),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15257, 15253])).
% 27.91/18.46 tff(15259,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 1))) | ((~v125(constB111)) | v90(constB111, 1))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 1))) | (~v125(constB111)) | v90(constB111, 1))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15260,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 1))) | ((~v125(constB111)) | v90(constB111, 1))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15261,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 1))) | (~v125(constB111)) | v90(constB111, 1)),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15260, 15259])).
% 27.91/18.46 tff(15262,plain,
% 27.91/18.46 (~v125(constB111)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15261, 15258, 14611])).
% 27.91/18.46 tff(15263,assumption,(v113(constB111)), introduced(assumption)).
% 27.91/18.46 tff(15264,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB111) | v125(constB111) | (~v113(constB111)))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB111) | v125(constB111) | (~v113(constB111)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15265,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB111) | v125(constB111) | (~v113(constB111)))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15266,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB111) | v125(constB111) | (~v113(constB111))),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15265, 15264])).
% 27.91/18.46 tff(15267,plain,
% 27.91/18.46 (v114(constB111) | v125(constB111)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15266, 4692, 15263])).
% 27.91/18.46 tff(15268,plain,
% 27.91/18.46 (v114(constB111)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15267, 15262])).
% 27.91/18.46 tff(15269,assumption,(~v124(constB111)), introduced(assumption)).
% 27.91/18.46 tff(15270,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB111) | v124(constB111) | (~v114(constB111)))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB111) | v124(constB111) | (~v114(constB111)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15271,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB111) | v124(constB111) | (~v114(constB111)))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15272,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB111) | v124(constB111) | (~v114(constB111))),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15271, 15270])).
% 27.91/18.46 tff(15273,plain,
% 27.91/18.46 (v115(constB111) | (~v114(constB111))),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15272, 4710, 15269])).
% 27.91/18.46 tff(15274,plain,
% 27.91/18.46 (v115(constB111)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15273, 15268])).
% 27.91/18.46 tff(15275,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB111) | v123(constB111) | (~v115(constB111)))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB111) | v123(constB111) | (~v115(constB111)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15276,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB111) | v123(constB111) | (~v115(constB111)))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15277,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB111) | v123(constB111) | (~v115(constB111))),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15276, 15275])).
% 27.91/18.46 tff(15278,plain,
% 27.91/18.46 (v116(constB111) | (~v115(constB111))),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15277, 4729, 14915])).
% 27.91/18.46 tff(15279,plain,
% 27.91/18.46 (v116(constB111)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15278, 15274])).
% 27.91/18.46 tff(15280,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB111) | v122(constB111) | (~v116(constB111)))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB111) | v122(constB111) | (~v116(constB111)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15281,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB111) | v122(constB111) | (~v116(constB111)))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15282,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB111) | v122(constB111) | (~v116(constB111))),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15281, 15280])).
% 27.91/18.46 tff(15283,plain,
% 27.91/18.46 (v117(constB111) | (~v116(constB111))),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15282, 4594, 14662])).
% 27.91/18.46 tff(15284,plain,
% 27.91/18.46 (v117(constB111)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15283, 15279])).
% 27.91/18.46 tff(15285,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB111) | v121(constB111) | (~v117(constB111)))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB111) | v121(constB111) | (~v117(constB111)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15286,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB111) | v121(constB111) | (~v117(constB111)))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15287,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB111) | v121(constB111) | (~v117(constB111))),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15286, 15285])).
% 27.91/18.46 tff(15288,plain,
% 27.91/18.46 (v118(constB111) | (~v117(constB111))),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15287, 4558, 14729])).
% 27.91/18.46 tff(15289,plain,
% 27.91/18.46 (v118(constB111)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15288, 15284])).
% 27.91/18.46 tff(15290,assumption,(~v120(constB111)), introduced(assumption)).
% 27.91/18.46 tff(15291,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | (v119(constB111) | v120(constB111) | (~v118(constB111)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | v119(constB111) | v120(constB111) | (~v118(constB111)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15292,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | (v119(constB111) | v120(constB111) | (~v118(constB111)))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15293,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | v119(constB111) | v120(constB111) | (~v118(constB111))),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15292, 15291])).
% 27.91/18.46 tff(15294,plain,
% 27.91/18.46 (v119(constB111) | (~v118(constB111))),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15293, 4544, 15290])).
% 27.91/18.46 tff(15295,plain,
% 27.91/18.46 (v119(constB111)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15294, 15289])).
% 27.91/18.46 tff(15296,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB111)) | (~v90(constB111, 0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB111)) | (~v90(constB111, 0)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15297,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB111)) | (~v90(constB111, 0)))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15298,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB111)) | (~v90(constB111, 0))),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15297, 15296])).
% 27.91/18.46 tff(15299,plain,
% 27.91/18.46 (~v90(constB111, 0)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15298, 4959, 15295])).
% 27.91/18.46 tff(15300,plain,
% 27.91/18.46 ($false),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[14955, 14743, 15299, 14915, 14621, 15251, 14611, 15250])).
% 27.91/18.46 tff(15301,plain,(v90(constB111, 1) | v123(constB111) | v120(constB111) | v121(constB111) | v122(constB111) | v124(constB111) | (~v113(constB111))), inference(lemma,lemma(discharge,[]))).
% 27.91/18.46 tff(15302,plain,
% 27.91/18.46 ($false),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15301, 15249, 15229, 14611, 15221, 14662, 15143, 14915])).
% 27.91/18.46 tff(15303,plain,(v90(constB112, 2) | v90(constB111, 1) | v122(constB111) | v123(constB111) | (~v100(constB112)) | v122(constB113) | v121(constB113)), inference(lemma,lemma(discharge,[]))).
% 27.91/18.46 tff(15304,plain,
% 27.91/18.46 (v122(constB113)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15303, 15116, 15117, 15111, 14611, 14632, 14805])).
% 27.91/18.46 tff(15305,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB113)) | v90(constB113, 1))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB113)) | v90(constB113, 1))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15306,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB113)) | v90(constB113, 1))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15307,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB113)) | v90(constB113, 1)),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15306, 15305])).
% 27.91/18.46 tff(15308,plain,
% 27.91/18.46 (v90(constB113, 1)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15307, 14628, 15304])).
% 27.91/18.46 tff(15309,plain,
% 27.91/18.46 (v90(constB112, 1)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15080, 15308])).
% 27.91/18.46 tff(15310,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB113)) | v90(constB113, 0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB113)) | v90(constB113, 0))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15311,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB113)) | v90(constB113, 0))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15312,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB113)) | v90(constB113, 0)),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15311, 15310])).
% 27.91/18.46 tff(15313,plain,
% 27.91/18.46 (v90(constB113, 0)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15312, 3757, 15304])).
% 27.91/18.46 tff(15314,plain,
% 27.91/18.46 (v90(constB112, 0)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15098, 15313])).
% 27.91/18.46 tff(15315,assumption,(v90(constB112, 1)), introduced(assumption)).
% 27.91/18.46 tff(15316,plain,
% 27.91/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB111, 1) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB111, 1) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, 1)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15317,plain,
% 27.91/18.46 (((~nextState(constB111, constB112)) | v90(constB111, 1) | v100(constB112) | (~v90(constB112, 1))) <=> (v90(constB111, 1) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, 1)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15318,plain,
% 27.91/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB111, constB112)) | v90(constB111, 1) | v100(constB112) | (~v90(constB112, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB111, 1) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, 1))))),
% 27.91/18.46 inference(monotonicity,[status(thm)],[15317])).
% 27.91/18.46 tff(15319,plain,
% 27.91/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB111, constB112)) | v90(constB111, 1) | v100(constB112) | (~v90(constB112, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB111, 1) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, 1)))),
% 27.91/18.46 inference(transitivity,[status(thm)],[15318, 15316])).
% 27.91/18.46 tff(15320,plain,
% 27.91/18.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB111, constB112)) | v90(constB111, 1) | v100(constB112) | (~v90(constB112, 1)))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15321,plain,
% 27.91/18.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB111, 1) | (~nextState(constB111, constB112)) | v100(constB112) | (~v90(constB112, 1))),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15320, 15319])).
% 27.91/18.46 tff(15322,plain,
% 27.91/18.46 (v90(constB111, 1) | v100(constB112) | (~v90(constB112, 1))),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15321, 191, 14605])).
% 27.91/18.46 tff(15323,plain,
% 27.91/18.46 (v100(constB112)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15322, 14611, 15315])).
% 27.91/18.46 tff(15324,plain,
% 27.91/18.46 (v110(constB112)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15122, 15323])).
% 27.91/18.46 tff(15325,plain,
% 27.91/18.46 (v108(constB111)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15130, 15324])).
% 27.91/18.46 tff(15326,plain,
% 27.91/18.46 (v112(constB111)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15138, 15325])).
% 27.91/18.46 tff(15327,plain,
% 27.91/18.46 (v113(constB111)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15142, 4678, 15326])).
% 27.91/18.46 tff(15328,plain,
% 27.91/18.46 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB112, 0)) | v129(constB112, 0) | (~v100(constB112)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB112, 0)) | v129(constB112, 0) | (~v100(constB112)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15329,plain,
% 27.91/18.46 (((~v90(constB112, 0)) | (~v100(constB112)) | v129(constB112, 0)) <=> ((~v90(constB112, 0)) | v129(constB112, 0) | (~v100(constB112)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15330,plain,
% 27.91/18.46 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB112, 0)) | (~v100(constB112)) | v129(constB112, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB112, 0)) | v129(constB112, 0) | (~v100(constB112))))),
% 27.91/18.46 inference(monotonicity,[status(thm)],[15329])).
% 27.91/18.46 tff(15331,plain,
% 27.91/18.46 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB112, 0)) | (~v100(constB112)) | v129(constB112, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB112, 0)) | v129(constB112, 0) | (~v100(constB112)))),
% 27.91/18.46 inference(transitivity,[status(thm)],[15330, 15328])).
% 27.91/18.46 tff(15332,plain,
% 27.91/18.46 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB112, 0)) | (~v100(constB112)) | v129(constB112, 0))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15333,plain,
% 27.91/18.46 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB112, 0)) | v129(constB112, 0) | (~v100(constB112))),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15332, 15331])).
% 27.91/18.46 tff(15334,plain,
% 27.91/18.46 (v129(constB112, 0) | (~v100(constB112))),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15333, 966, 14870])).
% 27.91/18.46 tff(15335,plain,
% 27.91/18.46 (v129(constB112, 0)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15334, 15323])).
% 27.91/18.46 tff(15336,plain,
% 27.91/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB111, constB112)) | v127(constB111, 0) | (~v129(constB112, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB111, constB112)) | v127(constB111, 0) | (~v129(constB112, 0)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15337,plain,
% 27.91/18.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB111, constB112)) | v127(constB111, 0) | (~v129(constB112, 0)))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15338,plain,
% 27.91/18.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB111, constB112)) | v127(constB111, 0) | (~v129(constB112, 0))),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15337, 15336])).
% 27.91/18.46 tff(15339,plain,
% 27.91/18.46 (v127(constB111, 0) | (~v129(constB112, 0))),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15338, 951, 14605])).
% 27.91/18.46 tff(15340,plain,
% 27.91/18.46 (v127(constB111, 0)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15339, 15335])).
% 27.91/18.46 tff(15341,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB111, 0)) | v26(constB111) | v130(constB111, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB111, 0)) | v26(constB111) | v130(constB111, 0))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15342,plain,
% 27.91/18.46 ((v26(constB111) | v130(constB111, 0) | (~v127(constB111, 0))) <=> ((~v127(constB111, 0)) | v26(constB111) | v130(constB111, 0))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15343,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB111) | v130(constB111, 0) | (~v127(constB111, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB111, 0)) | v26(constB111) | v130(constB111, 0)))),
% 27.91/18.46 inference(monotonicity,[status(thm)],[15342])).
% 27.91/18.46 tff(15344,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB111) | v130(constB111, 0) | (~v127(constB111, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB111, 0)) | v26(constB111) | v130(constB111, 0))),
% 27.91/18.46 inference(transitivity,[status(thm)],[15343, 15341])).
% 27.91/18.46 tff(15345,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB111) | v130(constB111, 0) | (~v127(constB111, 0)))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15346,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB111, 0)) | v26(constB111) | v130(constB111, 0)),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15345, 15344])).
% 27.91/18.46 tff(15347,plain,
% 27.91/18.46 ((~v127(constB111, 0)) | v130(constB111, 0)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15346, 933, 14594])).
% 27.91/18.46 tff(15348,plain,
% 27.91/18.46 (v130(constB111, 0)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15347, 15340])).
% 27.91/18.46 tff(15349,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB111)) | (~v130(constB111, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB111)) | (~v130(constB111, 0)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15350,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB111)) | (~v130(constB111, 0)))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15351,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB111)) | (~v130(constB111, 0))),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15350, 15349])).
% 27.91/18.46 tff(15352,plain,
% 27.91/18.46 (~v124(constB111)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15351, 1967, 15348])).
% 27.91/18.46 tff(15353,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB111)) | (~v130(constB111, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB111)) | (~v130(constB111, 0)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15354,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB111)) | (~v130(constB111, 0)))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15355,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB111)) | (~v130(constB111, 0))),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15354, 15353])).
% 27.91/18.46 tff(15356,plain,
% 27.91/18.46 (~v120(constB111)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15355, 919, 15348])).
% 27.91/18.46 tff(15357,plain,
% 27.91/18.46 ($false),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15301, 15356, 15352, 14611, 14680, 14662, 15327, 14915])).
% 27.91/18.46 tff(15358,plain,(v90(constB111, 1) | v122(constB111) | v123(constB111) | (~v90(constB112, 0)) | (~v90(constB112, 1))), inference(lemma,lemma(discharge,[]))).
% 27.91/18.46 tff(15359,plain,
% 27.91/18.46 ($false),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15358, 15314, 15309, 15116, 14632, 14611])).
% 27.91/18.46 tff(15360,plain,(v90(constB112, 2) | v90(constB111, 1) | v121(constB113)), inference(lemma,lemma(discharge,[]))).
% 27.91/18.46 tff(15361,plain,
% 27.91/18.46 (v121(constB113)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15360, 15110, 14537])).
% 27.91/18.46 tff(15362,assumption,(~v122(constB115)), introduced(assumption)).
% 27.91/18.46 tff(15363,assumption,(v121(constB113)), introduced(assumption)).
% 27.91/18.46 tff(15364,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB113) | (~v121(constB113)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB113) | (~v121(constB113)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15365,plain,
% 27.91/18.46 (((~v121(constB113)) | v117(constB113)) <=> (v117(constB113) | (~v121(constB113)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15366,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB113)) | v117(constB113))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB113) | (~v121(constB113))))),
% 27.91/18.46 inference(monotonicity,[status(thm)],[15365])).
% 27.91/18.46 tff(15367,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB113)) | v117(constB113))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB113) | (~v121(constB113)))),
% 27.91/18.46 inference(transitivity,[status(thm)],[15366, 15364])).
% 27.91/18.46 tff(15368,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB113)) | v117(constB113))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15369,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB113) | (~v121(constB113))),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15368, 15367])).
% 27.91/18.46 tff(15370,plain,
% 27.91/18.46 (v117(constB113)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15369, 1004, 15363])).
% 27.91/18.46 tff(15371,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB113)) | v116(constB113))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB113)) | v116(constB113))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15372,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB113)) | v116(constB113))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15373,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB113)) | v116(constB113)),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15372, 15371])).
% 27.91/18.46 tff(15374,plain,
% 27.91/18.46 (v116(constB113)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15373, 272, 15370])).
% 27.91/18.46 tff(15375,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB113)) | v115(constB113))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB113)) | v115(constB113))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15376,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB113)) | v115(constB113))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15377,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB113)) | v115(constB113)),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15376, 15375])).
% 27.91/18.46 tff(15378,plain,
% 27.91/18.46 (v115(constB113)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15377, 286, 15374])).
% 27.91/18.46 tff(15379,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB113) | (~v115(constB113)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB113) | (~v115(constB113)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15380,plain,
% 27.91/18.46 (((~v115(constB113)) | v114(constB113)) <=> (v114(constB113) | (~v115(constB113)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15381,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB113)) | v114(constB113))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB113) | (~v115(constB113))))),
% 27.91/18.46 inference(monotonicity,[status(thm)],[15380])).
% 27.91/18.46 tff(15382,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB113)) | v114(constB113))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB113) | (~v115(constB113)))),
% 27.91/18.46 inference(transitivity,[status(thm)],[15381, 15379])).
% 27.91/18.46 tff(15383,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB113)) | v114(constB113))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15384,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB113) | (~v115(constB113))),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15383, 15382])).
% 27.91/18.46 tff(15385,plain,
% 27.91/18.46 (v114(constB113)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15384, 300, 15378])).
% 27.91/18.46 tff(15386,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB113) | (~v114(constB113)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB113) | (~v114(constB113)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15387,plain,
% 27.91/18.46 (((~v114(constB113)) | v113(constB113)) <=> (v113(constB113) | (~v114(constB113)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15388,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB113)) | v113(constB113))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB113) | (~v114(constB113))))),
% 27.91/18.46 inference(monotonicity,[status(thm)],[15387])).
% 27.91/18.46 tff(15389,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB113)) | v113(constB113))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB113) | (~v114(constB113)))),
% 27.91/18.46 inference(transitivity,[status(thm)],[15388, 15386])).
% 27.91/18.46 tff(15390,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB113)) | v113(constB113))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15391,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB113) | (~v114(constB113))),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15390, 15389])).
% 27.91/18.46 tff(15392,plain,
% 27.91/18.46 (v113(constB113)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15391, 314, 15385])).
% 27.91/18.46 tff(15393,assumption,(v26(constB113)), introduced(assumption)).
% 27.91/18.46 tff(15394,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB113))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15395,plain,
% 27.91/18.46 ($false),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15394, 95, 15393])).
% 27.91/18.46 tff(15396,plain,(~v26(constB113)), inference(lemma,lemma(discharge,[]))).
% 27.91/18.46 tff(15397,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | v112(constB113) | (~v113(constB113)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15398,plain,
% 27.91/18.46 ((v26(constB113) | (~v113(constB113)) | v112(constB113)) <=> (v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15399,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | v112(constB113) | (~v113(constB113))))),
% 27.91/18.46 inference(monotonicity,[status(thm)],[15398])).
% 27.91/18.46 tff(15400,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 27.91/18.46 inference(transitivity,[status(thm)],[15399, 15397])).
% 27.91/18.46 tff(15401,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15402,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113))),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15401, 15400])).
% 27.91/18.46 tff(15403,plain,
% 27.91/18.46 (v112(constB113) | (~v113(constB113))),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15402, 328, 15396])).
% 27.91/18.46 tff(15404,plain,
% 27.91/18.46 (v112(constB113)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15403, 15392])).
% 27.91/18.46 tff(15405,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB113) | (~v112(constB113)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB113) | (~v112(constB113)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15406,plain,
% 27.91/18.46 (((~v112(constB113)) | v108(constB113)) <=> (v108(constB113) | (~v112(constB113)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15407,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB113)) | v108(constB113))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB113) | (~v112(constB113))))),
% 27.91/18.46 inference(monotonicity,[status(thm)],[15406])).
% 27.91/18.46 tff(15408,plain,
% 27.91/18.46 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB113)) | v108(constB113))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB113) | (~v112(constB113)))),
% 27.91/18.46 inference(transitivity,[status(thm)],[15407, 15405])).
% 27.91/18.46 tff(15409,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB113)) | v108(constB113))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15410,plain,
% 27.91/18.46 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB113) | (~v112(constB113))),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15409, 15408])).
% 27.91/18.46 tff(15411,plain,
% 27.91/18.46 (v108(constB113)),
% 27.91/18.46 inference(unit_resolution,[status(thm)],[15410, 340, 15404])).
% 27.91/18.46 tff(15412,plain,
% 27.91/18.46 (nextState(constB113, constB114) <=> nextState(constB113, constB114)),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15413,axiom,(nextState(constB113, constB114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_113_1')).
% 27.91/18.46 tff(15414,plain,
% 27.91/18.46 (nextState(constB113, constB114)),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15413, 15412])).
% 27.91/18.46 tff(15415,plain,
% 27.91/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15416,plain,
% 27.91/18.46 (((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114)) <=> ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 27.91/18.46 inference(rewrite,[status(thm)],[])).
% 27.91/18.46 tff(15417,plain,
% 27.91/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113))))),
% 27.91/18.46 inference(monotonicity,[status(thm)],[15416])).
% 27.91/18.46 tff(15418,plain,
% 27.91/18.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 27.91/18.46 inference(transitivity,[status(thm)],[15417, 15415])).
% 27.91/18.46 tff(15419,plain,
% 27.91/18.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))),
% 27.91/18.46 inference(quant_inst,[status(thm)],[])).
% 27.91/18.46 tff(15420,plain,
% 27.91/18.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113))),
% 27.91/18.46 inference(modus_ponens,[status(thm)],[15419, 15418])).
% 27.91/18.46 tff(15421,plain,
% 27.91/18.46 (v110(constB114) | (~v108(constB113))),
% 27.91/18.47 inference(unit_resolution,[status(thm)],[15420, 360, 15414])).
% 27.91/18.47 tff(15422,plain,
% 27.91/18.47 (v110(constB114)),
% 27.91/18.47 inference(unit_resolution,[status(thm)],[15421, 15411])).
% 27.91/18.47 tff(15423,plain,
% 27.91/18.47 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))),
% 27.91/18.47 inference(rewrite,[status(thm)],[])).
% 27.91/18.47 tff(15424,plain,
% 27.91/18.47 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))),
% 27.91/18.47 inference(quant_inst,[status(thm)],[])).
% 27.91/18.47 tff(15425,plain,
% 27.91/18.47 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114))),
% 27.91/18.47 inference(modus_ponens,[status(thm)],[15424, 15423])).
% 27.91/18.47 tff(15426,plain,
% 27.91/18.47 (~v104(constB114)),
% 27.91/18.47 inference(unit_resolution,[status(thm)],[15425, 378, 15414, 14992])).
% 27.91/18.47 tff(15427,plain,
% 27.91/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))),
% 27.91/18.47 inference(rewrite,[status(thm)],[])).
% 27.91/18.47 tff(15428,plain,
% 27.91/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))),
% 27.91/18.47 inference(quant_inst,[status(thm)],[])).
% 27.91/18.47 tff(15429,plain,
% 27.91/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB113, constB114)) | v102(constB114) | v104(constB114)),
% 27.91/18.47 inference(modus_ponens,[status(thm)],[15428, 15427])).
% 27.91/18.47 tff(15430,plain,
% 27.91/18.47 (v102(constB114) | v104(constB114)),
% 27.91/18.47 inference(unit_resolution,[status(thm)],[15429, 392, 15414])).
% 27.91/18.47 tff(15431,plain,
% 27.91/18.47 (v102(constB114)),
% 27.91/18.47 inference(unit_resolution,[status(thm)],[15430, 15426])).
% 27.91/18.47 tff(15432,plain,
% 27.91/18.47 (v1(constB114) <=> v1(constB114)),
% 27.91/18.47 inference(rewrite,[status(thm)],[])).
% 27.91/18.47 tff(15433,axiom,(v1(constB114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_114_1')).
% 27.91/18.47 tff(15434,plain,
% 27.91/18.47 (v1(constB114)),
% 27.91/18.47 inference(modus_ponens,[status(thm)],[15433, 15432])).
% 27.91/18.47 tff(15435,plain,
% 27.91/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))),
% 27.91/18.47 inference(rewrite,[status(thm)],[])).
% 27.91/18.47 tff(15436,plain,
% 27.91/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))),
% 27.91/18.47 inference(quant_inst,[status(thm)],[])).
% 27.91/18.47 tff(15437,plain,
% 27.91/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114))),
% 27.91/18.47 inference(modus_ponens,[status(thm)],[15436, 15435])).
% 27.91/18.47 tff(15438,plain,
% 27.91/18.47 (v101(constB114) | (~v102(constB114))),
% 27.91/18.47 inference(unit_resolution,[status(thm)],[15437, 410, 15414, 15434])).
% 27.91/18.47 tff(15439,plain,
% 27.91/18.47 (v101(constB114)),
% 27.91/18.47 inference(unit_resolution,[status(thm)],[15438, 15431])).
% 27.91/18.47 tff(15440,plain,
% 27.91/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 27.91/18.47 inference(rewrite,[status(thm)],[])).
% 27.91/18.47 tff(15441,plain,
% 27.91/18.47 (((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114)) <=> ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 27.91/18.47 inference(rewrite,[status(thm)],[])).
% 27.91/18.47 tff(15442,plain,
% 27.91/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114))))),
% 27.91/18.47 inference(monotonicity,[status(thm)],[15441])).
% 27.91/18.47 tff(15443,plain,
% 27.91/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 27.91/18.47 inference(transitivity,[status(thm)],[15442, 15440])).
% 27.91/18.47 tff(15444,plain,
% 27.91/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))),
% 27.91/18.47 inference(quant_inst,[status(thm)],[])).
% 27.91/18.47 tff(15445,plain,
% 27.91/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114))),
% 27.91/18.47 inference(modus_ponens,[status(thm)],[15444, 15443])).
% 27.91/18.47 tff(15446,plain,
% 27.91/18.47 (v100(constB114) | (~v101(constB114)) | (~v110(constB114))),
% 27.91/18.47 inference(unit_resolution,[status(thm)],[15445, 425, 15414])).
% 27.91/18.47 tff(15447,plain,
% 27.91/18.47 (v100(constB114) | (~v110(constB114))),
% 27.91/18.47 inference(unit_resolution,[status(thm)],[15446, 15439])).
% 27.91/18.47 tff(15448,plain,
% 27.91/18.47 (v100(constB114)),
% 27.91/18.47 inference(unit_resolution,[status(thm)],[15447, 15422])).
% 27.91/18.47 tff(15449,plain,
% 27.91/18.47 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB113)) | (~v130(constB113, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB113)) | (~v130(constB113, 2)))),
% 27.91/18.47 inference(rewrite,[status(thm)],[])).
% 27.91/18.47 tff(15450,plain,
% 27.91/18.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB113)) | (~v130(constB113, 2)))),
% 27.91/18.47 inference(quant_inst,[status(thm)],[])).
% 27.91/18.47 tff(15451,plain,
% 27.91/18.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB113)) | (~v130(constB113, 2))),
% 27.91/18.47 inference(modus_ponens,[status(thm)],[15450, 15449])).
% 27.91/18.47 tff(15452,plain,
% 27.91/18.47 (~v130(constB113, 2)),
% 27.91/18.47 inference(unit_resolution,[status(thm)],[15451, 1155, 15363])).
% 27.91/18.47 tff(15453,plain,
% 27.91/18.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB113, 2)) | v26(constB113) | v130(constB113, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB113, 2)) | v26(constB113) | v130(constB113, 2))),
% 27.91/18.47 inference(rewrite,[status(thm)],[])).
% 27.91/18.47 tff(15454,plain,
% 27.91/18.47 ((v26(constB113) | v130(constB113, 2) | (~v127(constB113, 2))) <=> ((~v127(constB113, 2)) | v26(constB113) | v130(constB113, 2))),
% 27.91/18.47 inference(rewrite,[status(thm)],[])).
% 27.91/18.47 tff(15455,plain,
% 27.91/18.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB113) | v130(constB113, 2) | (~v127(constB113, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB113, 2)) | v26(constB113) | v130(constB113, 2)))),
% 27.91/18.47 inference(monotonicity,[status(thm)],[15454])).
% 27.91/18.47 tff(15456,plain,
% 27.91/18.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB113) | v130(constB113, 2) | (~v127(constB113, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB113, 2)) | v26(constB113) | v130(constB113, 2))),
% 27.91/18.47 inference(transitivity,[status(thm)],[15455, 15453])).
% 27.91/18.47 tff(15457,plain,
% 27.91/18.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB113) | v130(constB113, 2) | (~v127(constB113, 2)))),
% 27.91/18.47 inference(quant_inst,[status(thm)],[])).
% 27.91/18.47 tff(15458,plain,
% 27.91/18.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB113, 2)) | v26(constB113) | v130(constB113, 2)),
% 27.91/18.47 inference(modus_ponens,[status(thm)],[15457, 15456])).
% 27.91/18.47 tff(15459,plain,
% 27.91/18.47 ((~v127(constB113, 2)) | v130(constB113, 2)),
% 27.91/18.47 inference(unit_resolution,[status(thm)],[15458, 455, 15396])).
% 27.91/18.47 tff(15460,plain,
% 27.91/18.47 (~v127(constB113, 2)),
% 27.91/18.47 inference(unit_resolution,[status(thm)],[15459, 15452])).
% 27.91/18.47 tff(15461,plain,
% 27.91/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB113, constB114)) | v127(constB113, 2) | (~v129(constB114, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB113, constB114)) | v127(constB113, 2) | (~v129(constB114, 2)))),
% 27.91/18.47 inference(rewrite,[status(thm)],[])).
% 27.91/18.47 tff(15462,plain,
% 27.91/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB113, constB114)) | v127(constB113, 2) | (~v129(constB114, 2)))),
% 27.91/18.47 inference(quant_inst,[status(thm)],[])).
% 27.91/18.47 tff(15463,plain,
% 27.91/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB113, constB114)) | v127(constB113, 2) | (~v129(constB114, 2))),
% 27.91/18.47 inference(modus_ponens,[status(thm)],[15462, 15461])).
% 27.91/18.47 tff(15464,plain,
% 27.91/18.47 (v127(constB113, 2) | (~v129(constB114, 2))),
% 27.91/18.47 inference(unit_resolution,[status(thm)],[15463, 473, 15414])).
% 27.91/18.47 tff(15465,plain,
% 27.91/18.47 (~v129(constB114, 2)),
% 27.91/18.47 inference(unit_resolution,[status(thm)],[15464, 15460])).
% 27.91/18.47 tff(15466,plain,
% 27.91/18.47 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB114, 2)) | v129(constB114, 2) | (~v100(constB114)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB114, 2)) | v129(constB114, 2) | (~v100(constB114)))),
% 27.91/18.47 inference(rewrite,[status(thm)],[])).
% 27.91/18.47 tff(15467,plain,
% 27.91/18.47 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB114, 2)) | v129(constB114, 2) | (~v100(constB114)))),
% 27.91/18.47 inference(quant_inst,[status(thm)],[])).
% 27.91/18.47 tff(15468,plain,
% 27.91/18.47 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB114, 2)) | v129(constB114, 2) | (~v100(constB114))),
% 27.91/18.47 inference(modus_ponens,[status(thm)],[15467, 15466])).
% 27.91/18.47 tff(15469,plain,
% 27.91/18.47 ((~v90(constB114, 2)) | (~v100(constB114))),
% 27.91/18.47 inference(unit_resolution,[status(thm)],[15468, 488, 15465])).
% 27.91/18.47 tff(15470,plain,
% 27.91/18.47 (~v90(constB114, 2)),
% 27.91/18.47 inference(unit_resolution,[status(thm)],[15469, 15448])).
% 27.91/18.47 tff(15471,plain,
% 27.91/18.47 ((~v1(constB115)) <=> (~v1(constB115))),
% 27.91/18.47 inference(rewrite,[status(thm)],[])).
% 27.91/18.47 tff(15472,axiom,(~v1(constB115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_115_1_1')).
% 27.91/18.47 tff(15473,plain,
% 27.91/18.47 (~v1(constB115)),
% 27.91/18.47 inference(modus_ponens,[status(thm)],[15472, 15471])).
% 27.91/18.47 tff(15474,plain,
% 27.91/18.47 (nextState(constB114, constB115) <=> nextState(constB114, constB115)),
% 27.91/18.47 inference(rewrite,[status(thm)],[])).
% 27.91/18.47 tff(15475,axiom,(nextState(constB114, constB115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_114_1')).
% 27.91/18.47 tff(15476,plain,
% 27.91/18.47 (nextState(constB114, constB115)),
% 27.91/18.47 inference(modus_ponens,[status(thm)],[15475, 15474])).
% 27.91/18.47 tff(15477,plain,
% 27.91/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 27.91/18.47 inference(rewrite,[status(thm)],[])).
% 27.91/18.47 tff(15478,plain,
% 27.91/18.47 (((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115)) <=> (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 27.91/18.47 inference(rewrite,[status(thm)],[])).
% 27.91/18.47 tff(15479,plain,
% 27.91/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115))))),
% 27.91/18.47 inference(monotonicity,[status(thm)],[15478])).
% 27.91/18.47 tff(15480,plain,
% 27.91/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 27.91/18.47 inference(transitivity,[status(thm)],[15479, 15477])).
% 27.91/18.47 tff(15481,plain,
% 27.91/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))),
% 27.91/18.47 inference(quant_inst,[status(thm)],[])).
% 27.91/18.47 tff(15482,plain,
% 27.91/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115))),
% 27.91/18.47 inference(modus_ponens,[status(thm)],[15481, 15480])).
% 27.91/18.47 tff(15483,plain,
% 27.91/18.47 (~v101(constB115)),
% 27.91/18.47 inference(unit_resolution,[status(thm)],[15482, 138, 15476, 15473])).
% 27.91/18.47 tff(15484,plain,
% 27.91/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))),
% 27.91/18.47 inference(rewrite,[status(thm)],[])).
% 27.91/18.47 tff(15485,plain,
% 27.91/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))),
% 27.91/18.47 inference(quant_inst,[status(thm)],[])).
% 27.91/18.47 tff(15486,plain,
% 27.91/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115))),
% 27.91/18.47 inference(modus_ponens,[status(thm)],[15485, 15484])).
% 27.91/18.47 tff(15487,plain,
% 27.91/18.47 (v101(constB115) | (~v100(constB115))),
% 27.91/18.47 inference(unit_resolution,[status(thm)],[15486, 155, 15476])).
% 27.91/18.47 tff(15488,plain,
% 27.91/18.47 (~v100(constB115)),
% 27.91/18.47 inference(unit_resolution,[status(thm)],[15487, 15483])).
% 27.91/18.47 tff(15489,plain,
% 27.91/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB114, 2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB114, 2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, 2)))),
% 27.91/18.47 inference(rewrite,[status(thm)],[])).
% 27.91/18.47 tff(15490,plain,
% 27.91/18.47 (((~nextState(constB114, constB115)) | v90(constB114, 2) | v100(constB115) | (~v90(constB115, 2))) <=> (v90(constB114, 2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, 2)))),
% 27.91/18.47 inference(rewrite,[status(thm)],[])).
% 27.91/18.47 tff(15491,plain,
% 27.91/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB114, constB115)) | v90(constB114, 2) | v100(constB115) | (~v90(constB115, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB114, 2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, 2))))),
% 27.91/18.47 inference(monotonicity,[status(thm)],[15490])).
% 27.91/18.47 tff(15492,plain,
% 27.91/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB114, constB115)) | v90(constB114, 2) | v100(constB115) | (~v90(constB115, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB114, 2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, 2)))),
% 27.91/18.47 inference(transitivity,[status(thm)],[15491, 15489])).
% 27.91/18.47 tff(15493,plain,
% 27.91/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB114, constB115)) | v90(constB114, 2) | v100(constB115) | (~v90(constB115, 2)))),
% 27.95/18.47 inference(quant_inst,[status(thm)],[])).
% 27.95/18.47 tff(15494,plain,
% 27.95/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB114, 2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, 2))),
% 27.95/18.47 inference(modus_ponens,[status(thm)],[15493, 15492])).
% 27.95/18.47 tff(15495,plain,
% 27.95/18.47 (v90(constB114, 2) | v100(constB115) | (~v90(constB115, 2))),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15494, 170, 15476])).
% 27.95/18.47 tff(15496,plain,
% 27.95/18.47 (v90(constB114, 2) | (~v90(constB115, 2))),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15495, 15488])).
% 27.95/18.47 tff(15497,plain,
% 27.95/18.47 (~v90(constB115, 2)),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15496, 15470])).
% 27.95/18.47 tff(15498,plain,
% 27.95/18.47 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB113)) | v130(constB113, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB113)) | v130(constB113, 1))),
% 27.95/18.47 inference(rewrite,[status(thm)],[])).
% 27.95/18.47 tff(15499,plain,
% 27.95/18.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB113)) | v130(constB113, 1))),
% 27.95/18.47 inference(quant_inst,[status(thm)],[])).
% 27.95/18.47 tff(15500,plain,
% 27.95/18.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB113)) | v130(constB113, 1)),
% 27.95/18.47 inference(modus_ponens,[status(thm)],[15499, 15498])).
% 27.95/18.47 tff(15501,plain,
% 27.95/18.47 (v130(constB113, 1)),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15500, 1235, 15363])).
% 27.95/18.47 tff(15502,plain,
% 27.95/18.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB113) | (~v130(constB113, 1)) | v127(constB113, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB113) | (~v130(constB113, 1)) | v127(constB113, 1))),
% 27.95/18.47 inference(rewrite,[status(thm)],[])).
% 27.95/18.47 tff(15503,plain,
% 27.95/18.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB113) | (~v130(constB113, 1)) | v127(constB113, 1))),
% 27.95/18.47 inference(quant_inst,[status(thm)],[])).
% 27.95/18.47 tff(15504,plain,
% 27.95/18.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB113) | (~v130(constB113, 1)) | v127(constB113, 1)),
% 27.95/18.47 inference(modus_ponens,[status(thm)],[15503, 15502])).
% 27.95/18.47 tff(15505,plain,
% 27.95/18.47 ((~v130(constB113, 1)) | v127(constB113, 1)),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15504, 855, 15396])).
% 27.95/18.47 tff(15506,plain,
% 27.95/18.47 (v127(constB113, 1)),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15505, 15501])).
% 27.95/18.47 tff(15507,plain,
% 27.95/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB113, constB114)) | (~v127(constB113, 1)) | v129(constB114, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB113, constB114)) | (~v127(constB113, 1)) | v129(constB114, 1))),
% 27.95/18.47 inference(rewrite,[status(thm)],[])).
% 27.95/18.47 tff(15508,plain,
% 27.95/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB113, constB114)) | (~v127(constB113, 1)) | v129(constB114, 1))),
% 27.95/18.47 inference(quant_inst,[status(thm)],[])).
% 27.95/18.47 tff(15509,plain,
% 27.95/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB113, constB114)) | (~v127(constB113, 1)) | v129(constB114, 1)),
% 27.95/18.47 inference(modus_ponens,[status(thm)],[15508, 15507])).
% 27.95/18.47 tff(15510,plain,
% 27.95/18.47 ((~v127(constB113, 1)) | v129(constB114, 1)),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15509, 870, 15414])).
% 27.95/18.47 tff(15511,plain,
% 27.95/18.47 (v129(constB114, 1)),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15510, 15506])).
% 27.95/18.47 tff(15512,plain,
% 27.95/18.47 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB114, 1) | (~v129(constB114, 1)) | (~v100(constB114)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB114, 1) | (~v129(constB114, 1)) | (~v100(constB114)))),
% 27.95/18.47 inference(rewrite,[status(thm)],[])).
% 27.95/18.47 tff(15513,plain,
% 27.95/18.47 ((v90(constB114, 1) | (~v100(constB114)) | (~v129(constB114, 1))) <=> (v90(constB114, 1) | (~v129(constB114, 1)) | (~v100(constB114)))),
% 27.95/18.47 inference(rewrite,[status(thm)],[])).
% 27.95/18.47 tff(15514,plain,
% 27.95/18.47 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB114, 1) | (~v100(constB114)) | (~v129(constB114, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB114, 1) | (~v129(constB114, 1)) | (~v100(constB114))))),
% 27.95/18.47 inference(monotonicity,[status(thm)],[15513])).
% 27.95/18.47 tff(15515,plain,
% 27.95/18.47 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB114, 1) | (~v100(constB114)) | (~v129(constB114, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB114, 1) | (~v129(constB114, 1)) | (~v100(constB114)))),
% 27.95/18.47 inference(transitivity,[status(thm)],[15514, 15512])).
% 27.95/18.47 tff(15516,plain,
% 27.95/18.47 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB114, 1) | (~v100(constB114)) | (~v129(constB114, 1)))),
% 27.95/18.47 inference(quant_inst,[status(thm)],[])).
% 27.95/18.47 tff(15517,plain,
% 27.95/18.47 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB114, 1) | (~v129(constB114, 1)) | (~v100(constB114))),
% 27.95/18.47 inference(modus_ponens,[status(thm)],[15516, 15515])).
% 27.95/18.47 tff(15518,plain,
% 27.95/18.47 (v90(constB114, 1) | (~v100(constB114))),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15517, 885, 15511])).
% 27.95/18.47 tff(15519,plain,
% 27.95/18.47 (v90(constB114, 1)),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15518, 15448])).
% 27.95/18.47 tff(15520,plain,
% 27.95/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB114, 1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB114, 1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 1))),
% 27.95/18.47 inference(rewrite,[status(thm)],[])).
% 27.95/18.47 tff(15521,plain,
% 27.95/18.47 (((~nextState(constB114, constB115)) | (~v90(constB114, 1)) | v100(constB115) | v90(constB115, 1)) <=> ((~v90(constB114, 1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 1))),
% 27.95/18.47 inference(rewrite,[status(thm)],[])).
% 27.95/18.47 tff(15522,plain,
% 27.95/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, 1)) | v100(constB115) | v90(constB115, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB114, 1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 1)))),
% 27.95/18.47 inference(monotonicity,[status(thm)],[15521])).
% 27.95/18.47 tff(15523,plain,
% 27.95/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, 1)) | v100(constB115) | v90(constB115, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB114, 1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 1))),
% 27.95/18.47 inference(transitivity,[status(thm)],[15522, 15520])).
% 27.95/18.47 tff(15524,plain,
% 27.95/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, 1)) | v100(constB115) | v90(constB115, 1))),
% 27.95/18.47 inference(quant_inst,[status(thm)],[])).
% 27.95/18.47 tff(15525,plain,
% 27.95/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB114, 1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 1)),
% 27.95/18.47 inference(modus_ponens,[status(thm)],[15524, 15523])).
% 27.95/18.47 tff(15526,plain,
% 27.95/18.47 ((~v90(constB114, 1)) | v100(constB115) | v90(constB115, 1)),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15525, 903, 15476])).
% 27.95/18.47 tff(15527,plain,
% 27.95/18.47 ((~v90(constB114, 1)) | v90(constB115, 1)),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15526, 15488])).
% 27.95/18.47 tff(15528,plain,
% 27.95/18.47 (v90(constB115, 1)),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15527, 15519])).
% 27.95/18.47 tff(15529,plain,
% 27.95/18.47 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB113)) | v130(constB113, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB113)) | v130(constB113, 0))),
% 27.95/18.47 inference(rewrite,[status(thm)],[])).
% 27.95/18.47 tff(15530,plain,
% 27.95/18.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB113)) | v130(constB113, 0))),
% 27.95/18.47 inference(quant_inst,[status(thm)],[])).
% 27.95/18.47 tff(15531,plain,
% 27.95/18.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB113)) | v130(constB113, 0)),
% 27.95/18.47 inference(modus_ponens,[status(thm)],[15530, 15529])).
% 27.95/18.47 tff(15532,plain,
% 27.95/18.47 (v130(constB113, 0)),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15531, 1099, 15363])).
% 27.95/18.47 tff(15533,plain,
% 27.95/18.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB113) | (~v130(constB113, 0)) | v127(constB113, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB113) | (~v130(constB113, 0)) | v127(constB113, 0))),
% 27.95/18.47 inference(rewrite,[status(thm)],[])).
% 27.95/18.47 tff(15534,plain,
% 27.95/18.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB113) | (~v130(constB113, 0)) | v127(constB113, 0))),
% 27.95/18.47 inference(quant_inst,[status(thm)],[])).
% 27.95/18.47 tff(15535,plain,
% 27.95/18.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB113) | (~v130(constB113, 0)) | v127(constB113, 0)),
% 27.95/18.47 inference(modus_ponens,[status(thm)],[15534, 15533])).
% 27.95/18.47 tff(15536,plain,
% 27.95/18.47 ((~v130(constB113, 0)) | v127(constB113, 0)),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15535, 612, 15396])).
% 27.95/18.47 tff(15537,plain,
% 27.95/18.47 (v127(constB113, 0)),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15536, 15532])).
% 27.95/18.47 tff(15538,plain,
% 27.95/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB113, constB114)) | (~v127(constB113, 0)) | v129(constB114, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB113, constB114)) | (~v127(constB113, 0)) | v129(constB114, 0))),
% 27.95/18.47 inference(rewrite,[status(thm)],[])).
% 27.95/18.47 tff(15539,plain,
% 27.95/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB113, constB114)) | (~v127(constB113, 0)) | v129(constB114, 0))),
% 27.95/18.47 inference(quant_inst,[status(thm)],[])).
% 27.95/18.47 tff(15540,plain,
% 27.95/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB113, constB114)) | (~v127(constB113, 0)) | v129(constB114, 0)),
% 27.95/18.47 inference(modus_ponens,[status(thm)],[15539, 15538])).
% 27.95/18.47 tff(15541,plain,
% 27.95/18.47 ((~v127(constB113, 0)) | v129(constB114, 0)),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15540, 627, 15414])).
% 27.95/18.47 tff(15542,plain,
% 27.95/18.47 (v129(constB114, 0)),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15541, 15537])).
% 27.95/18.47 tff(15543,plain,
% 27.95/18.47 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB114, 0) | (~v129(constB114, 0)) | (~v100(constB114)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB114, 0) | (~v129(constB114, 0)) | (~v100(constB114)))),
% 27.95/18.47 inference(rewrite,[status(thm)],[])).
% 27.95/18.47 tff(15544,plain,
% 27.95/18.47 ((v90(constB114, 0) | (~v100(constB114)) | (~v129(constB114, 0))) <=> (v90(constB114, 0) | (~v129(constB114, 0)) | (~v100(constB114)))),
% 27.95/18.47 inference(rewrite,[status(thm)],[])).
% 27.95/18.47 tff(15545,plain,
% 27.95/18.47 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB114, 0) | (~v100(constB114)) | (~v129(constB114, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB114, 0) | (~v129(constB114, 0)) | (~v100(constB114))))),
% 27.95/18.47 inference(monotonicity,[status(thm)],[15544])).
% 27.95/18.47 tff(15546,plain,
% 27.95/18.47 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB114, 0) | (~v100(constB114)) | (~v129(constB114, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB114, 0) | (~v129(constB114, 0)) | (~v100(constB114)))),
% 27.95/18.47 inference(transitivity,[status(thm)],[15545, 15543])).
% 27.95/18.47 tff(15547,plain,
% 27.95/18.47 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB114, 0) | (~v100(constB114)) | (~v129(constB114, 0)))),
% 27.95/18.47 inference(quant_inst,[status(thm)],[])).
% 27.95/18.47 tff(15548,plain,
% 27.95/18.47 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB114, 0) | (~v129(constB114, 0)) | (~v100(constB114))),
% 27.95/18.47 inference(modus_ponens,[status(thm)],[15547, 15546])).
% 27.95/18.47 tff(15549,plain,
% 27.95/18.47 (v90(constB114, 0) | (~v100(constB114))),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15548, 642, 15542])).
% 27.95/18.47 tff(15550,plain,
% 27.95/18.47 (v90(constB114, 0)),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15549, 15448])).
% 27.95/18.47 tff(15551,plain,
% 27.95/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB114, 0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB114, 0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 0))),
% 27.95/18.47 inference(rewrite,[status(thm)],[])).
% 27.95/18.47 tff(15552,plain,
% 27.95/18.47 (((~nextState(constB114, constB115)) | (~v90(constB114, 0)) | v100(constB115) | v90(constB115, 0)) <=> ((~v90(constB114, 0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 0))),
% 27.95/18.47 inference(rewrite,[status(thm)],[])).
% 27.95/18.47 tff(15553,plain,
% 27.95/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB114, constB115)) | (~v90(constB114, 0)) | v100(constB115) | v90(constB115, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB114, 0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 0)))),
% 27.95/18.47 inference(monotonicity,[status(thm)],[15552])).
% 27.95/18.47 tff(15554,plain,
% 27.95/18.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB114, constB115)) | (~v90(constB114, 0)) | v100(constB115) | v90(constB115, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB114, 0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 0))),
% 27.95/18.47 inference(transitivity,[status(thm)],[15553, 15551])).
% 27.95/18.47 tff(15555,plain,
% 27.95/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB114, constB115)) | (~v90(constB114, 0)) | v100(constB115) | v90(constB115, 0))),
% 27.95/18.47 inference(quant_inst,[status(thm)],[])).
% 27.95/18.47 tff(15556,plain,
% 27.95/18.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB114, 0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 0)),
% 27.95/18.47 inference(modus_ponens,[status(thm)],[15555, 15554])).
% 27.95/18.47 tff(15557,plain,
% 27.95/18.47 ((~v90(constB114, 0)) | v100(constB115) | v90(constB115, 0)),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15556, 660, 15476])).
% 27.95/18.47 tff(15558,plain,
% 27.95/18.47 ((~v90(constB114, 0)) | v90(constB115, 0)),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15557, 15488])).
% 27.95/18.47 tff(15559,plain,
% 27.95/18.47 (v90(constB115, 0)),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15558, 15550])).
% 27.95/18.47 tff(15560,plain,
% 27.95/18.47 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB115, 0)) | (~v90(constB115, 1)) | v90(constB115, 2) | v122(constB115))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB115, 0)) | (~v90(constB115, 1)) | v90(constB115, 2) | v122(constB115))),
% 27.95/18.47 inference(rewrite,[status(thm)],[])).
% 27.95/18.47 tff(15561,plain,
% 27.95/18.47 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB115, 0)) | (~v90(constB115, 1)) | v90(constB115, 2) | v122(constB115))),
% 27.95/18.47 inference(quant_inst,[status(thm)],[])).
% 27.95/18.47 tff(15562,plain,
% 27.95/18.47 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB115, 0)) | (~v90(constB115, 1)) | v90(constB115, 2) | v122(constB115)),
% 27.95/18.47 inference(modus_ponens,[status(thm)],[15561, 15560])).
% 27.95/18.47 tff(15563,plain,
% 27.95/18.47 ($false),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15562, 1260, 15559, 15528, 15497, 15362])).
% 27.95/18.47 tff(15564,plain,((~v121(constB113)) | v122(constB115)), inference(lemma,lemma(discharge,[]))).
% 27.95/18.47 tff(15565,plain,
% 27.95/18.47 (v122(constB115)),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15564, 15361])).
% 27.95/18.47 tff(15566,assumption,(v122(constB115)), introduced(assumption)).
% 27.95/18.47 tff(15567,plain,
% 27.95/18.47 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB115)) | v116(constB115))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB115)) | v116(constB115))),
% 27.95/18.47 inference(rewrite,[status(thm)],[])).
% 27.95/18.47 tff(15568,plain,
% 27.95/18.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB115)) | v116(constB115))),
% 27.95/18.47 inference(quant_inst,[status(thm)],[])).
% 27.95/18.47 tff(15569,plain,
% 27.95/18.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB115)) | v116(constB115)),
% 27.95/18.47 inference(modus_ponens,[status(thm)],[15568, 15567])).
% 27.95/18.47 tff(15570,plain,
% 27.95/18.47 (v116(constB115)),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15569, 1272, 15566])).
% 27.95/18.47 tff(15571,plain,
% 27.95/18.47 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB115) | (~v116(constB115)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB115) | (~v116(constB115)))),
% 27.95/18.47 inference(rewrite,[status(thm)],[])).
% 27.95/18.47 tff(15572,plain,
% 27.95/18.47 (((~v116(constB115)) | v115(constB115)) <=> (v115(constB115) | (~v116(constB115)))),
% 27.95/18.47 inference(rewrite,[status(thm)],[])).
% 27.95/18.47 tff(15573,plain,
% 27.95/18.47 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB115)) | v115(constB115))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB115) | (~v116(constB115))))),
% 27.95/18.47 inference(monotonicity,[status(thm)],[15572])).
% 27.95/18.47 tff(15574,plain,
% 27.95/18.47 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB115)) | v115(constB115))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB115) | (~v116(constB115)))),
% 27.95/18.47 inference(transitivity,[status(thm)],[15573, 15571])).
% 27.95/18.47 tff(15575,plain,
% 27.95/18.47 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB115)) | v115(constB115))),
% 27.95/18.47 inference(quant_inst,[status(thm)],[])).
% 27.95/18.47 tff(15576,plain,
% 27.95/18.47 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB115) | (~v116(constB115))),
% 27.95/18.47 inference(modus_ponens,[status(thm)],[15575, 15574])).
% 27.95/18.47 tff(15577,plain,
% 27.95/18.47 (v115(constB115)),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15576, 286, 15570])).
% 27.95/18.47 tff(15578,plain,
% 27.95/18.47 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB115) | (~v115(constB115)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB115) | (~v115(constB115)))),
% 27.95/18.47 inference(rewrite,[status(thm)],[])).
% 27.95/18.47 tff(15579,plain,
% 27.95/18.47 (((~v115(constB115)) | v114(constB115)) <=> (v114(constB115) | (~v115(constB115)))),
% 27.95/18.47 inference(rewrite,[status(thm)],[])).
% 27.95/18.47 tff(15580,plain,
% 27.95/18.47 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB115)) | v114(constB115))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB115) | (~v115(constB115))))),
% 27.95/18.47 inference(monotonicity,[status(thm)],[15579])).
% 27.95/18.47 tff(15581,plain,
% 27.95/18.47 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB115)) | v114(constB115))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB115) | (~v115(constB115)))),
% 27.95/18.47 inference(transitivity,[status(thm)],[15580, 15578])).
% 27.95/18.47 tff(15582,plain,
% 27.95/18.47 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB115)) | v114(constB115))),
% 27.95/18.47 inference(quant_inst,[status(thm)],[])).
% 27.95/18.47 tff(15583,plain,
% 27.95/18.47 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB115) | (~v115(constB115))),
% 27.95/18.47 inference(modus_ponens,[status(thm)],[15582, 15581])).
% 27.95/18.47 tff(15584,plain,
% 27.95/18.47 (v114(constB115)),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15583, 300, 15577])).
% 27.95/18.47 tff(15585,plain,
% 27.95/18.47 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB115)) | v113(constB115))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB115)) | v113(constB115))),
% 27.95/18.47 inference(rewrite,[status(thm)],[])).
% 27.95/18.47 tff(15586,plain,
% 27.95/18.47 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB115)) | v113(constB115))),
% 27.95/18.47 inference(quant_inst,[status(thm)],[])).
% 27.95/18.47 tff(15587,plain,
% 27.95/18.47 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB115)) | v113(constB115)),
% 27.95/18.47 inference(modus_ponens,[status(thm)],[15586, 15585])).
% 27.95/18.47 tff(15588,plain,
% 27.95/18.47 (v113(constB115)),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15587, 314, 15584])).
% 27.95/18.47 tff(15589,assumption,(v26(constB115)), introduced(assumption)).
% 27.95/18.47 tff(15590,plain,
% 27.95/18.47 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB115))),
% 27.95/18.47 inference(quant_inst,[status(thm)],[])).
% 27.95/18.47 tff(15591,plain,
% 27.95/18.47 ($false),
% 27.95/18.47 inference(unit_resolution,[status(thm)],[15590, 95, 15589])).
% 27.95/18.47 tff(15592,plain,(~v26(constB115)), inference(lemma,lemma(discharge,[]))).
% 27.95/18.47 tff(15593,plain,
% 27.95/18.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | v112(constB115) | (~v113(constB115)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | v112(constB115) | (~v113(constB115)))),
% 27.95/18.47 inference(rewrite,[status(thm)],[])).
% 27.95/18.47 tff(15594,plain,
% 27.95/18.47 ((v26(constB115) | (~v113(constB115)) | v112(constB115)) <=> (v26(constB115) | v112(constB115) | (~v113(constB115)))),
% 27.95/18.47 inference(rewrite,[status(thm)],[])).
% 27.95/18.47 tff(15595,plain,
% 27.95/18.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | v112(constB115) | (~v113(constB115))))),
% 27.95/18.47 inference(monotonicity,[status(thm)],[15594])).
% 27.95/18.47 tff(15596,plain,
% 27.95/18.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | v112(constB115) | (~v113(constB115)))),
% 27.95/18.48 inference(transitivity,[status(thm)],[15595, 15593])).
% 27.95/18.48 tff(15597,plain,
% 27.95/18.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))),
% 27.95/18.48 inference(quant_inst,[status(thm)],[])).
% 27.95/18.48 tff(15598,plain,
% 27.95/18.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | v112(constB115) | (~v113(constB115))),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15597, 15596])).
% 27.95/18.48 tff(15599,plain,
% 27.95/18.48 (v112(constB115) | (~v113(constB115))),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15598, 328, 15592])).
% 27.95/18.48 tff(15600,plain,
% 27.95/18.48 (v112(constB115)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15599, 15588])).
% 27.95/18.48 tff(15601,plain,
% 27.95/18.48 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB115) | (~v112(constB115)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB115) | (~v112(constB115)))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15602,plain,
% 27.95/18.48 (((~v112(constB115)) | v108(constB115)) <=> (v108(constB115) | (~v112(constB115)))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15603,plain,
% 27.95/18.48 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB115)) | v108(constB115))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB115) | (~v112(constB115))))),
% 27.95/18.48 inference(monotonicity,[status(thm)],[15602])).
% 27.95/18.48 tff(15604,plain,
% 27.95/18.48 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB115)) | v108(constB115))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB115) | (~v112(constB115)))),
% 27.95/18.48 inference(transitivity,[status(thm)],[15603, 15601])).
% 27.95/18.48 tff(15605,plain,
% 27.95/18.48 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB115)) | v108(constB115))),
% 27.95/18.48 inference(quant_inst,[status(thm)],[])).
% 27.95/18.48 tff(15606,plain,
% 27.95/18.48 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB115) | (~v112(constB115))),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15605, 15604])).
% 27.95/18.48 tff(15607,plain,
% 27.95/18.48 (v108(constB115)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15606, 340, 15600])).
% 27.95/18.48 tff(15608,plain,
% 27.95/18.48 (nextState(constB115, constB116) <=> nextState(constB115, constB116)),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15609,axiom,(nextState(constB115, constB116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_115_1')).
% 27.95/18.48 tff(15610,plain,
% 27.95/18.48 (nextState(constB115, constB116)),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15609, 15608])).
% 27.95/18.48 tff(15611,plain,
% 27.95/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15612,plain,
% 27.95/18.48 (((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116)) <=> ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15613,plain,
% 27.95/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115))))),
% 27.95/18.48 inference(monotonicity,[status(thm)],[15612])).
% 27.95/18.48 tff(15614,plain,
% 27.95/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 27.95/18.48 inference(transitivity,[status(thm)],[15613, 15611])).
% 27.95/18.48 tff(15615,plain,
% 27.95/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))),
% 27.95/18.48 inference(quant_inst,[status(thm)],[])).
% 27.95/18.48 tff(15616,plain,
% 27.95/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115))),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15615, 15614])).
% 27.95/18.48 tff(15617,plain,
% 27.95/18.48 (v110(constB116) | (~v108(constB115))),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15616, 360, 15610])).
% 27.95/18.48 tff(15618,plain,
% 27.95/18.48 (v110(constB116)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15617, 15607])).
% 27.95/18.48 tff(15619,plain,
% 27.95/18.48 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15620,plain,
% 27.95/18.48 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))),
% 27.95/18.48 inference(quant_inst,[status(thm)],[])).
% 27.95/18.48 tff(15621,plain,
% 27.95/18.48 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116))),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15620, 15619])).
% 27.95/18.48 tff(15622,plain,
% 27.95/18.48 (~v104(constB116)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15621, 378, 15610, 15473])).
% 27.95/18.48 tff(15623,plain,
% 27.95/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15624,plain,
% 27.95/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))),
% 27.95/18.48 inference(quant_inst,[status(thm)],[])).
% 27.95/18.48 tff(15625,plain,
% 27.95/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB115, constB116)) | v102(constB116) | v104(constB116)),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15624, 15623])).
% 27.95/18.48 tff(15626,plain,
% 27.95/18.48 (v102(constB116) | v104(constB116)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15625, 392, 15610])).
% 27.95/18.48 tff(15627,plain,
% 27.95/18.48 (v102(constB116)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15626, 15622])).
% 27.95/18.48 tff(15628,plain,
% 27.95/18.48 (v1(constB116) <=> v1(constB116)),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15629,axiom,(v1(constB116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_116_1')).
% 27.95/18.48 tff(15630,plain,
% 27.95/18.48 (v1(constB116)),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15629, 15628])).
% 27.95/18.48 tff(15631,plain,
% 27.95/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15632,plain,
% 27.95/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))),
% 27.95/18.48 inference(quant_inst,[status(thm)],[])).
% 27.95/18.48 tff(15633,plain,
% 27.95/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116))),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15632, 15631])).
% 27.95/18.48 tff(15634,plain,
% 27.95/18.48 (v101(constB116) | (~v102(constB116))),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15633, 410, 15610, 15630])).
% 27.95/18.48 tff(15635,plain,
% 27.95/18.48 (v101(constB116)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15634, 15627])).
% 27.95/18.48 tff(15636,plain,
% 27.95/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15637,plain,
% 27.95/18.48 (((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116)) <=> ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15638,plain,
% 27.95/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116))))),
% 27.95/18.48 inference(monotonicity,[status(thm)],[15637])).
% 27.95/18.48 tff(15639,plain,
% 27.95/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 27.95/18.48 inference(transitivity,[status(thm)],[15638, 15636])).
% 27.95/18.48 tff(15640,plain,
% 27.95/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))),
% 27.95/18.48 inference(quant_inst,[status(thm)],[])).
% 27.95/18.48 tff(15641,plain,
% 27.95/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116))),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15640, 15639])).
% 27.95/18.48 tff(15642,plain,
% 27.95/18.48 (v100(constB116) | (~v101(constB116)) | (~v110(constB116))),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15641, 425, 15610])).
% 27.95/18.48 tff(15643,plain,
% 27.95/18.48 (v100(constB116) | (~v110(constB116))),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15642, 15635])).
% 27.95/18.48 tff(15644,plain,
% 27.95/18.48 (v100(constB116)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15643, 15618])).
% 27.95/18.48 tff(15645,plain,
% 27.95/18.48 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB115)) | v130(constB115, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB115)) | v130(constB115, 2))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15646,plain,
% 27.95/18.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB115)) | v130(constB115, 2))),
% 27.95/18.48 inference(quant_inst,[status(thm)],[])).
% 27.95/18.48 tff(15647,plain,
% 27.95/18.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB115)) | v130(constB115, 2)),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15646, 15645])).
% 27.95/18.48 tff(15648,plain,
% 27.95/18.48 (v130(constB115, 2)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15647, 1484, 15566])).
% 27.95/18.48 tff(15649,plain,
% 27.95/18.48 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB115) | (~v130(constB115, 2)) | v127(constB115, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB115) | (~v130(constB115, 2)) | v127(constB115, 2))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15650,plain,
% 27.95/18.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB115) | (~v130(constB115, 2)) | v127(constB115, 2))),
% 27.95/18.48 inference(quant_inst,[status(thm)],[])).
% 27.95/18.48 tff(15651,plain,
% 27.95/18.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB115) | (~v130(constB115, 2)) | v127(constB115, 2)),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15650, 15649])).
% 27.95/18.48 tff(15652,plain,
% 27.95/18.48 ((~v130(constB115, 2)) | v127(constB115, 2)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15651, 1498, 15592])).
% 27.95/18.48 tff(15653,plain,
% 27.95/18.48 (v127(constB115, 2)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15652, 15648])).
% 27.95/18.48 tff(15654,plain,
% 27.95/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB115, constB116)) | (~v127(constB115, 2)) | v129(constB116, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB115, constB116)) | (~v127(constB115, 2)) | v129(constB116, 2))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15655,plain,
% 27.95/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB115, constB116)) | (~v127(constB115, 2)) | v129(constB116, 2))),
% 27.95/18.48 inference(quant_inst,[status(thm)],[])).
% 27.95/18.48 tff(15656,plain,
% 27.95/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB115, constB116)) | (~v127(constB115, 2)) | v129(constB116, 2)),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15655, 15654])).
% 27.95/18.48 tff(15657,plain,
% 27.95/18.48 ((~v127(constB115, 2)) | v129(constB116, 2)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15656, 1513, 15610])).
% 27.95/18.48 tff(15658,plain,
% 27.95/18.48 (v129(constB116, 2)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15657, 15653])).
% 27.95/18.48 tff(15659,plain,
% 27.95/18.48 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB116, 2) | (~v129(constB116, 2)) | (~v100(constB116)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB116, 2) | (~v129(constB116, 2)) | (~v100(constB116)))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15660,plain,
% 27.95/18.48 ((v90(constB116, 2) | (~v100(constB116)) | (~v129(constB116, 2))) <=> (v90(constB116, 2) | (~v129(constB116, 2)) | (~v100(constB116)))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15661,plain,
% 27.95/18.48 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB116, 2) | (~v100(constB116)) | (~v129(constB116, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB116, 2) | (~v129(constB116, 2)) | (~v100(constB116))))),
% 27.95/18.48 inference(monotonicity,[status(thm)],[15660])).
% 27.95/18.48 tff(15662,plain,
% 27.95/18.48 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB116, 2) | (~v100(constB116)) | (~v129(constB116, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB116, 2) | (~v129(constB116, 2)) | (~v100(constB116)))),
% 27.95/18.48 inference(transitivity,[status(thm)],[15661, 15659])).
% 27.95/18.48 tff(15663,plain,
% 27.95/18.48 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB116, 2) | (~v100(constB116)) | (~v129(constB116, 2)))),
% 27.95/18.48 inference(quant_inst,[status(thm)],[])).
% 27.95/18.48 tff(15664,plain,
% 27.95/18.48 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB116, 2) | (~v129(constB116, 2)) | (~v100(constB116))),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15663, 15662])).
% 27.95/18.48 tff(15665,plain,
% 27.95/18.48 (v90(constB116, 2) | (~v100(constB116))),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15664, 1528, 15658])).
% 27.95/18.48 tff(15666,plain,
% 27.95/18.48 (v90(constB116, 2)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15665, 15644])).
% 27.95/18.48 tff(15667,plain,
% 27.95/18.48 ((~v1(constB117)) <=> (~v1(constB117))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15668,axiom,(~v1(constB117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_117_1_1')).
% 27.95/18.48 tff(15669,plain,
% 27.95/18.48 (~v1(constB117)),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15668, 15667])).
% 27.95/18.48 tff(15670,plain,
% 27.95/18.48 (nextState(constB116, constB117) <=> nextState(constB116, constB117)),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15671,axiom,(nextState(constB116, constB117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_116_1')).
% 27.95/18.48 tff(15672,plain,
% 27.95/18.48 (nextState(constB116, constB117)),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15671, 15670])).
% 27.95/18.48 tff(15673,plain,
% 27.95/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15674,plain,
% 27.95/18.48 (((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117)) <=> (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15675,plain,
% 27.95/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117))))),
% 27.95/18.48 inference(monotonicity,[status(thm)],[15674])).
% 27.95/18.48 tff(15676,plain,
% 27.95/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 27.95/18.48 inference(transitivity,[status(thm)],[15675, 15673])).
% 27.95/18.48 tff(15677,plain,
% 27.95/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))),
% 27.95/18.48 inference(quant_inst,[status(thm)],[])).
% 27.95/18.48 tff(15678,plain,
% 27.95/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117))),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15677, 15676])).
% 27.95/18.48 tff(15679,plain,
% 27.95/18.48 (~v101(constB117)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15678, 138, 15672, 15669])).
% 27.95/18.48 tff(15680,plain,
% 27.95/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15681,plain,
% 27.95/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))),
% 27.95/18.48 inference(quant_inst,[status(thm)],[])).
% 27.95/18.48 tff(15682,plain,
% 27.95/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117))),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15681, 15680])).
% 27.95/18.48 tff(15683,plain,
% 27.95/18.48 (v101(constB117) | (~v100(constB117))),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15682, 155, 15672])).
% 27.95/18.48 tff(15684,plain,
% 27.95/18.48 (~v100(constB117)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15683, 15679])).
% 27.95/18.48 tff(15685,plain,
% 27.95/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB116, 2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB116, 2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, 2))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15686,plain,
% 27.95/18.48 (((~nextState(constB116, constB117)) | (~v90(constB116, 2)) | v100(constB117) | v90(constB117, 2)) <=> ((~v90(constB116, 2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, 2))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15687,plain,
% 27.95/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB116, constB117)) | (~v90(constB116, 2)) | v100(constB117) | v90(constB117, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB116, 2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, 2)))),
% 27.95/18.48 inference(monotonicity,[status(thm)],[15686])).
% 27.95/18.48 tff(15688,plain,
% 27.95/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB116, constB117)) | (~v90(constB116, 2)) | v100(constB117) | v90(constB117, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB116, 2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, 2))),
% 27.95/18.48 inference(transitivity,[status(thm)],[15687, 15685])).
% 27.95/18.48 tff(15689,plain,
% 27.95/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB116, constB117)) | (~v90(constB116, 2)) | v100(constB117) | v90(constB117, 2))),
% 27.95/18.48 inference(quant_inst,[status(thm)],[])).
% 27.95/18.48 tff(15690,plain,
% 27.95/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB116, 2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, 2)),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15689, 15688])).
% 27.95/18.48 tff(15691,plain,
% 27.95/18.48 ((~v90(constB116, 2)) | v100(constB117) | v90(constB117, 2)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15690, 1546, 15672])).
% 27.95/18.48 tff(15692,plain,
% 27.95/18.48 ((~v90(constB116, 2)) | v90(constB117, 2)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15691, 15684])).
% 27.95/18.48 tff(15693,plain,
% 27.95/18.48 (v90(constB117, 2)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15692, 15666])).
% 27.95/18.48 tff(15694,plain,
% 27.95/18.48 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB115)) | (~v130(constB115, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB115)) | (~v130(constB115, 0)))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15695,plain,
% 27.95/18.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB115)) | (~v130(constB115, 0)))),
% 27.95/18.48 inference(quant_inst,[status(thm)],[])).
% 27.95/18.48 tff(15696,plain,
% 27.95/18.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB115)) | (~v130(constB115, 0))),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15695, 15694])).
% 27.95/18.48 tff(15697,plain,
% 27.95/18.48 (~v130(constB115, 0)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15696, 1351, 15566])).
% 27.95/18.48 tff(15698,plain,
% 27.95/18.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB115, 0)) | v26(constB115) | v130(constB115, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB115, 0)) | v26(constB115) | v130(constB115, 0))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15699,plain,
% 27.95/18.48 ((v26(constB115) | v130(constB115, 0) | (~v127(constB115, 0))) <=> ((~v127(constB115, 0)) | v26(constB115) | v130(constB115, 0))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15700,plain,
% 27.95/18.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB115) | v130(constB115, 0) | (~v127(constB115, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB115, 0)) | v26(constB115) | v130(constB115, 0)))),
% 27.95/18.48 inference(monotonicity,[status(thm)],[15699])).
% 27.95/18.48 tff(15701,plain,
% 27.95/18.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB115) | v130(constB115, 0) | (~v127(constB115, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB115, 0)) | v26(constB115) | v130(constB115, 0))),
% 27.95/18.48 inference(transitivity,[status(thm)],[15700, 15698])).
% 27.95/18.48 tff(15702,plain,
% 27.95/18.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB115) | v130(constB115, 0) | (~v127(constB115, 0)))),
% 27.95/18.48 inference(quant_inst,[status(thm)],[])).
% 27.95/18.48 tff(15703,plain,
% 27.95/18.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB115, 0)) | v26(constB115) | v130(constB115, 0)),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15702, 15701])).
% 27.95/18.48 tff(15704,plain,
% 27.95/18.48 ((~v127(constB115, 0)) | v130(constB115, 0)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15703, 933, 15592])).
% 27.95/18.48 tff(15705,plain,
% 27.95/18.48 (~v127(constB115, 0)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15704, 15697])).
% 27.95/18.48 tff(15706,plain,
% 27.95/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB115, constB116)) | v127(constB115, 0) | (~v129(constB116, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB115, constB116)) | v127(constB115, 0) | (~v129(constB116, 0)))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15707,plain,
% 27.95/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB115, constB116)) | v127(constB115, 0) | (~v129(constB116, 0)))),
% 27.95/18.48 inference(quant_inst,[status(thm)],[])).
% 27.95/18.48 tff(15708,plain,
% 27.95/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB115, constB116)) | v127(constB115, 0) | (~v129(constB116, 0))),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15707, 15706])).
% 27.95/18.48 tff(15709,plain,
% 27.95/18.48 (v127(constB115, 0) | (~v129(constB116, 0))),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15708, 951, 15610])).
% 27.95/18.48 tff(15710,plain,
% 27.95/18.48 (~v129(constB116, 0)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15709, 15705])).
% 27.95/18.48 tff(15711,plain,
% 27.95/18.48 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB116, 0)) | v129(constB116, 0) | (~v100(constB116)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB116, 0)) | v129(constB116, 0) | (~v100(constB116)))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15712,plain,
% 27.95/18.48 (((~v90(constB116, 0)) | (~v100(constB116)) | v129(constB116, 0)) <=> ((~v90(constB116, 0)) | v129(constB116, 0) | (~v100(constB116)))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15713,plain,
% 27.95/18.48 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB116, 0)) | (~v100(constB116)) | v129(constB116, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB116, 0)) | v129(constB116, 0) | (~v100(constB116))))),
% 27.95/18.48 inference(monotonicity,[status(thm)],[15712])).
% 27.95/18.48 tff(15714,plain,
% 27.95/18.48 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB116, 0)) | (~v100(constB116)) | v129(constB116, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB116, 0)) | v129(constB116, 0) | (~v100(constB116)))),
% 27.95/18.48 inference(transitivity,[status(thm)],[15713, 15711])).
% 27.95/18.48 tff(15715,plain,
% 27.95/18.48 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB116, 0)) | (~v100(constB116)) | v129(constB116, 0))),
% 27.95/18.48 inference(quant_inst,[status(thm)],[])).
% 27.95/18.48 tff(15716,plain,
% 27.95/18.48 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB116, 0)) | v129(constB116, 0) | (~v100(constB116))),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15715, 15714])).
% 27.95/18.48 tff(15717,plain,
% 27.95/18.48 ((~v90(constB116, 0)) | (~v100(constB116))),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15716, 966, 15710])).
% 27.95/18.48 tff(15718,plain,
% 27.95/18.48 (~v90(constB116, 0)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15717, 15644])).
% 27.95/18.48 tff(15719,plain,
% 27.95/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB116, 0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB116, 0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 0)))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15720,plain,
% 27.95/18.48 (((~nextState(constB116, constB117)) | v90(constB116, 0) | v100(constB117) | (~v90(constB117, 0))) <=> (v90(constB116, 0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 0)))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15721,plain,
% 27.95/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB116, constB117)) | v90(constB116, 0) | v100(constB117) | (~v90(constB117, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB116, 0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 0))))),
% 27.95/18.48 inference(monotonicity,[status(thm)],[15720])).
% 27.95/18.48 tff(15722,plain,
% 27.95/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB116, constB117)) | v90(constB116, 0) | v100(constB117) | (~v90(constB117, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB116, 0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 0)))),
% 27.95/18.48 inference(transitivity,[status(thm)],[15721, 15719])).
% 27.95/18.48 tff(15723,plain,
% 27.95/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB116, constB117)) | v90(constB116, 0) | v100(constB117) | (~v90(constB117, 0)))),
% 27.95/18.48 inference(quant_inst,[status(thm)],[])).
% 27.95/18.48 tff(15724,plain,
% 27.95/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB116, 0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 0))),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15723, 15722])).
% 27.95/18.48 tff(15725,plain,
% 27.95/18.48 (v90(constB116, 0) | v100(constB117) | (~v90(constB117, 0))),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15724, 212, 15672])).
% 27.95/18.48 tff(15726,plain,
% 27.95/18.48 (v90(constB116, 0) | (~v90(constB117, 0))),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15725, 15684])).
% 27.95/18.48 tff(15727,plain,
% 27.95/18.48 (~v90(constB117, 0)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15726, 15718])).
% 27.95/18.48 tff(15728,plain,
% 27.95/18.48 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB115)) | (~v130(constB115, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB115)) | (~v130(constB115, 1)))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15729,plain,
% 27.95/18.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB115)) | (~v130(constB115, 1)))),
% 27.95/18.48 inference(quant_inst,[status(thm)],[])).
% 27.95/18.48 tff(15730,plain,
% 27.95/18.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB115)) | (~v130(constB115, 1))),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15729, 15728])).
% 27.95/18.48 tff(15731,plain,
% 27.95/18.48 (~v130(constB115, 1)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15730, 1424, 15566])).
% 27.95/18.48 tff(15732,plain,
% 27.95/18.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB115, 1)) | v26(constB115) | v130(constB115, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB115, 1)) | v26(constB115) | v130(constB115, 1))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15733,plain,
% 27.95/18.48 ((v26(constB115) | v130(constB115, 1) | (~v127(constB115, 1))) <=> ((~v127(constB115, 1)) | v26(constB115) | v130(constB115, 1))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15734,plain,
% 27.95/18.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB115) | v130(constB115, 1) | (~v127(constB115, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB115, 1)) | v26(constB115) | v130(constB115, 1)))),
% 27.95/18.48 inference(monotonicity,[status(thm)],[15733])).
% 27.95/18.48 tff(15735,plain,
% 27.95/18.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB115) | v130(constB115, 1) | (~v127(constB115, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB115, 1)) | v26(constB115) | v130(constB115, 1))),
% 27.95/18.48 inference(transitivity,[status(thm)],[15734, 15732])).
% 27.95/18.48 tff(15736,plain,
% 27.95/18.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB115) | v130(constB115, 1) | (~v127(constB115, 1)))),
% 27.95/18.48 inference(quant_inst,[status(thm)],[])).
% 27.95/18.48 tff(15737,plain,
% 27.95/18.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB115, 1)) | v26(constB115) | v130(constB115, 1)),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15736, 15735])).
% 27.95/18.48 tff(15738,plain,
% 27.95/18.48 ((~v127(constB115, 1)) | v130(constB115, 1)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15737, 541, 15592])).
% 27.95/18.48 tff(15739,plain,
% 27.95/18.48 (~v127(constB115, 1)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15738, 15731])).
% 27.95/18.48 tff(15740,plain,
% 27.95/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB115, constB116)) | v127(constB115, 1) | (~v129(constB116, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB115, constB116)) | v127(constB115, 1) | (~v129(constB116, 1)))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15741,plain,
% 27.95/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB115, constB116)) | v127(constB115, 1) | (~v129(constB116, 1)))),
% 27.95/18.48 inference(quant_inst,[status(thm)],[])).
% 27.95/18.48 tff(15742,plain,
% 27.95/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB115, constB116)) | v127(constB115, 1) | (~v129(constB116, 1))),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15741, 15740])).
% 27.95/18.48 tff(15743,plain,
% 27.95/18.48 (v127(constB115, 1) | (~v129(constB116, 1))),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15742, 559, 15610])).
% 27.95/18.48 tff(15744,plain,
% 27.95/18.48 (~v129(constB116, 1)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15743, 15739])).
% 27.95/18.48 tff(15745,plain,
% 27.95/18.48 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB116, 1)) | v129(constB116, 1) | (~v100(constB116)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB116, 1)) | v129(constB116, 1) | (~v100(constB116)))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15746,plain,
% 27.95/18.48 (((~v90(constB116, 1)) | (~v100(constB116)) | v129(constB116, 1)) <=> ((~v90(constB116, 1)) | v129(constB116, 1) | (~v100(constB116)))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15747,plain,
% 27.95/18.48 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB116, 1)) | (~v100(constB116)) | v129(constB116, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB116, 1)) | v129(constB116, 1) | (~v100(constB116))))),
% 27.95/18.48 inference(monotonicity,[status(thm)],[15746])).
% 27.95/18.48 tff(15748,plain,
% 27.95/18.48 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB116, 1)) | (~v100(constB116)) | v129(constB116, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB116, 1)) | v129(constB116, 1) | (~v100(constB116)))),
% 27.95/18.48 inference(transitivity,[status(thm)],[15747, 15745])).
% 27.95/18.48 tff(15749,plain,
% 27.95/18.48 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB116, 1)) | (~v100(constB116)) | v129(constB116, 1))),
% 27.95/18.48 inference(quant_inst,[status(thm)],[])).
% 27.95/18.48 tff(15750,plain,
% 27.95/18.48 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB116, 1)) | v129(constB116, 1) | (~v100(constB116))),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15749, 15748])).
% 27.95/18.48 tff(15751,plain,
% 27.95/18.48 ((~v90(constB116, 1)) | (~v100(constB116))),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15750, 574, 15744])).
% 27.95/18.48 tff(15752,plain,
% 27.95/18.48 (~v90(constB116, 1)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15751, 15644])).
% 27.95/18.48 tff(15753,plain,
% 27.95/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB116, 1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB116, 1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 1)))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15754,plain,
% 27.95/18.48 (((~nextState(constB116, constB117)) | v90(constB116, 1) | v100(constB117) | (~v90(constB117, 1))) <=> (v90(constB116, 1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 1)))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15755,plain,
% 27.95/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB116, constB117)) | v90(constB116, 1) | v100(constB117) | (~v90(constB117, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB116, 1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 1))))),
% 27.95/18.48 inference(monotonicity,[status(thm)],[15754])).
% 27.95/18.48 tff(15756,plain,
% 27.95/18.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB116, constB117)) | v90(constB116, 1) | v100(constB117) | (~v90(constB117, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB116, 1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 1)))),
% 27.95/18.48 inference(transitivity,[status(thm)],[15755, 15753])).
% 27.95/18.48 tff(15757,plain,
% 27.95/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB116, constB117)) | v90(constB116, 1) | v100(constB117) | (~v90(constB117, 1)))),
% 27.95/18.48 inference(quant_inst,[status(thm)],[])).
% 27.95/18.48 tff(15758,plain,
% 27.95/18.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB116, 1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 1))),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15757, 15756])).
% 27.95/18.48 tff(15759,plain,
% 27.95/18.48 (v90(constB116, 1) | v100(constB117) | (~v90(constB117, 1))),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15758, 191, 15672])).
% 27.95/18.48 tff(15760,plain,
% 27.95/18.48 (v90(constB116, 1) | (~v90(constB117, 1))),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15759, 15684])).
% 27.95/18.48 tff(15761,plain,
% 27.95/18.48 (~v90(constB117, 1)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15760, 15752])).
% 27.95/18.48 tff(15762,assumption,(~v123(constB117)), introduced(assumption)).
% 27.95/18.48 tff(15763,plain,
% 27.95/18.48 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB117, 0) | v90(constB117, 1) | (~v90(constB117, 2)) | v123(constB117))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB117, 0) | v90(constB117, 1) | (~v90(constB117, 2)) | v123(constB117))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15764,plain,
% 27.95/18.48 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB117, 0) | v90(constB117, 1) | (~v90(constB117, 2)) | v123(constB117))),
% 27.95/18.48 inference(quant_inst,[status(thm)],[])).
% 27.95/18.48 tff(15765,plain,
% 27.95/18.48 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB117, 0) | v90(constB117, 1) | (~v90(constB117, 2)) | v123(constB117)),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15764, 15763])).
% 27.95/18.48 tff(15766,plain,
% 27.95/18.48 (v90(constB117, 0) | v90(constB117, 1) | (~v90(constB117, 2))),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15765, 1565, 15762])).
% 27.95/18.48 tff(15767,plain,
% 27.95/18.48 ($false),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15766, 15761, 15727, 15693])).
% 27.95/18.48 tff(15768,plain,((~v122(constB115)) | v123(constB117)), inference(lemma,lemma(discharge,[]))).
% 27.95/18.48 tff(15769,plain,
% 27.95/18.48 (v123(constB117)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15768, 15565])).
% 27.95/18.48 tff(15770,assumption,(v123(constB117)), introduced(assumption)).
% 27.95/18.48 tff(15771,plain,
% 27.95/18.48 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB117)) | v115(constB117))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB117)) | v115(constB117))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15772,plain,
% 27.95/18.48 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB117)) | v115(constB117))),
% 27.95/18.48 inference(quant_inst,[status(thm)],[])).
% 27.95/18.48 tff(15773,plain,
% 27.95/18.48 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB117)) | v115(constB117)),
% 27.95/18.48 inference(modus_ponens,[status(thm)],[15772, 15771])).
% 27.95/18.48 tff(15774,plain,
% 27.95/18.48 (v115(constB117)),
% 27.95/18.48 inference(unit_resolution,[status(thm)],[15773, 1579, 15770])).
% 27.95/18.48 tff(15775,plain,
% 27.95/18.48 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB117) | (~v115(constB117)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB117) | (~v115(constB117)))),
% 27.95/18.48 inference(rewrite,[status(thm)],[])).
% 27.95/18.48 tff(15776,plain,
% 27.95/18.48 (((~v115(constB117)) | v114(constB117)) <=> (v114(constB117) | (~v115(constB117)))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15777,plain,
% 27.95/18.49 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB117)) | v114(constB117))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB117) | (~v115(constB117))))),
% 27.95/18.49 inference(monotonicity,[status(thm)],[15776])).
% 27.95/18.49 tff(15778,plain,
% 27.95/18.49 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB117)) | v114(constB117))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB117) | (~v115(constB117)))),
% 27.95/18.49 inference(transitivity,[status(thm)],[15777, 15775])).
% 27.95/18.49 tff(15779,plain,
% 27.95/18.49 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB117)) | v114(constB117))),
% 27.95/18.49 inference(quant_inst,[status(thm)],[])).
% 27.95/18.49 tff(15780,plain,
% 27.95/18.49 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB117) | (~v115(constB117))),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15779, 15778])).
% 27.95/18.49 tff(15781,plain,
% 27.95/18.49 (v114(constB117)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15780, 300, 15774])).
% 27.95/18.49 tff(15782,plain,
% 27.95/18.49 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB117) | (~v114(constB117)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB117) | (~v114(constB117)))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15783,plain,
% 27.95/18.49 (((~v114(constB117)) | v113(constB117)) <=> (v113(constB117) | (~v114(constB117)))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15784,plain,
% 27.95/18.49 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB117)) | v113(constB117))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB117) | (~v114(constB117))))),
% 27.95/18.49 inference(monotonicity,[status(thm)],[15783])).
% 27.95/18.49 tff(15785,plain,
% 27.95/18.49 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB117)) | v113(constB117))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB117) | (~v114(constB117)))),
% 27.95/18.49 inference(transitivity,[status(thm)],[15784, 15782])).
% 27.95/18.49 tff(15786,plain,
% 27.95/18.49 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB117)) | v113(constB117))),
% 27.95/18.49 inference(quant_inst,[status(thm)],[])).
% 27.95/18.49 tff(15787,plain,
% 27.95/18.49 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB117) | (~v114(constB117))),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15786, 15785])).
% 27.95/18.49 tff(15788,plain,
% 27.95/18.49 (v113(constB117)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15787, 314, 15781])).
% 27.95/18.49 tff(15789,assumption,(v26(constB117)), introduced(assumption)).
% 27.95/18.49 tff(15790,plain,
% 27.95/18.49 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB117))),
% 27.95/18.49 inference(quant_inst,[status(thm)],[])).
% 27.95/18.49 tff(15791,plain,
% 27.95/18.49 ($false),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15790, 95, 15789])).
% 27.95/18.49 tff(15792,plain,(~v26(constB117)), inference(lemma,lemma(discharge,[]))).
% 27.95/18.49 tff(15793,plain,
% 27.95/18.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | v112(constB117) | (~v113(constB117)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | v112(constB117) | (~v113(constB117)))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15794,plain,
% 27.95/18.49 ((v26(constB117) | (~v113(constB117)) | v112(constB117)) <=> (v26(constB117) | v112(constB117) | (~v113(constB117)))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15795,plain,
% 27.95/18.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | v112(constB117) | (~v113(constB117))))),
% 27.95/18.49 inference(monotonicity,[status(thm)],[15794])).
% 27.95/18.49 tff(15796,plain,
% 27.95/18.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | v112(constB117) | (~v113(constB117)))),
% 27.95/18.49 inference(transitivity,[status(thm)],[15795, 15793])).
% 27.95/18.49 tff(15797,plain,
% 27.95/18.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))),
% 27.95/18.49 inference(quant_inst,[status(thm)],[])).
% 27.95/18.49 tff(15798,plain,
% 27.95/18.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | v112(constB117) | (~v113(constB117))),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15797, 15796])).
% 27.95/18.49 tff(15799,plain,
% 27.95/18.49 (v112(constB117) | (~v113(constB117))),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15798, 328, 15792])).
% 27.95/18.49 tff(15800,plain,
% 27.95/18.49 (v112(constB117)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15799, 15788])).
% 27.95/18.49 tff(15801,plain,
% 27.95/18.49 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB117) | (~v112(constB117)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB117) | (~v112(constB117)))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15802,plain,
% 27.95/18.49 (((~v112(constB117)) | v108(constB117)) <=> (v108(constB117) | (~v112(constB117)))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15803,plain,
% 27.95/18.49 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB117)) | v108(constB117))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB117) | (~v112(constB117))))),
% 27.95/18.49 inference(monotonicity,[status(thm)],[15802])).
% 27.95/18.49 tff(15804,plain,
% 27.95/18.49 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB117)) | v108(constB117))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB117) | (~v112(constB117)))),
% 27.95/18.49 inference(transitivity,[status(thm)],[15803, 15801])).
% 27.95/18.49 tff(15805,plain,
% 27.95/18.49 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB117)) | v108(constB117))),
% 27.95/18.49 inference(quant_inst,[status(thm)],[])).
% 27.95/18.49 tff(15806,plain,
% 27.95/18.49 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB117) | (~v112(constB117))),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15805, 15804])).
% 27.95/18.49 tff(15807,plain,
% 27.95/18.49 (v108(constB117)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15806, 340, 15800])).
% 27.95/18.49 tff(15808,plain,
% 27.95/18.49 (nextState(constB117, constB118) <=> nextState(constB117, constB118)),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15809,axiom,(nextState(constB117, constB118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_117_1')).
% 27.95/18.49 tff(15810,plain,
% 27.95/18.49 (nextState(constB117, constB118)),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15809, 15808])).
% 27.95/18.49 tff(15811,plain,
% 27.95/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15812,plain,
% 27.95/18.49 (((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118)) <=> ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15813,plain,
% 27.95/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117))))),
% 27.95/18.49 inference(monotonicity,[status(thm)],[15812])).
% 27.95/18.49 tff(15814,plain,
% 27.95/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 27.95/18.49 inference(transitivity,[status(thm)],[15813, 15811])).
% 27.95/18.49 tff(15815,plain,
% 27.95/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))),
% 27.95/18.49 inference(quant_inst,[status(thm)],[])).
% 27.95/18.49 tff(15816,plain,
% 27.95/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117))),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15815, 15814])).
% 27.95/18.49 tff(15817,plain,
% 27.95/18.49 (v110(constB118) | (~v108(constB117))),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15816, 360, 15810])).
% 27.95/18.49 tff(15818,plain,
% 27.95/18.49 (v110(constB118)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15817, 15807])).
% 27.95/18.49 tff(15819,plain,
% 27.95/18.49 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15820,plain,
% 27.95/18.49 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))),
% 27.95/18.49 inference(quant_inst,[status(thm)],[])).
% 27.95/18.49 tff(15821,plain,
% 27.95/18.49 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118))),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15820, 15819])).
% 27.95/18.49 tff(15822,plain,
% 27.95/18.49 (~v104(constB118)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15821, 378, 15810, 15669])).
% 27.95/18.49 tff(15823,plain,
% 27.95/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15824,plain,
% 27.95/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))),
% 27.95/18.49 inference(quant_inst,[status(thm)],[])).
% 27.95/18.49 tff(15825,plain,
% 27.95/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB117, constB118)) | v102(constB118) | v104(constB118)),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15824, 15823])).
% 27.95/18.49 tff(15826,plain,
% 27.95/18.49 (v102(constB118) | v104(constB118)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15825, 392, 15810])).
% 27.95/18.49 tff(15827,plain,
% 27.95/18.49 (v102(constB118)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15826, 15822])).
% 27.95/18.49 tff(15828,plain,
% 27.95/18.49 (v1(constB118) <=> v1(constB118)),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15829,axiom,(v1(constB118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_118_1')).
% 27.95/18.49 tff(15830,plain,
% 27.95/18.49 (v1(constB118)),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15829, 15828])).
% 27.95/18.49 tff(15831,plain,
% 27.95/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15832,plain,
% 27.95/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))),
% 27.95/18.49 inference(quant_inst,[status(thm)],[])).
% 27.95/18.49 tff(15833,plain,
% 27.95/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118))),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15832, 15831])).
% 27.95/18.49 tff(15834,plain,
% 27.95/18.49 (v101(constB118) | (~v102(constB118))),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15833, 410, 15810, 15830])).
% 27.95/18.49 tff(15835,plain,
% 27.95/18.49 (v101(constB118)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15834, 15827])).
% 27.95/18.49 tff(15836,plain,
% 27.95/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15837,plain,
% 27.95/18.49 (((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118)) <=> ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15838,plain,
% 27.95/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118))))),
% 27.95/18.49 inference(monotonicity,[status(thm)],[15837])).
% 27.95/18.49 tff(15839,plain,
% 27.95/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 27.95/18.49 inference(transitivity,[status(thm)],[15838, 15836])).
% 27.95/18.49 tff(15840,plain,
% 27.95/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))),
% 27.95/18.49 inference(quant_inst,[status(thm)],[])).
% 27.95/18.49 tff(15841,plain,
% 27.95/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118))),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15840, 15839])).
% 27.95/18.49 tff(15842,plain,
% 27.95/18.49 (v100(constB118) | (~v101(constB118)) | (~v110(constB118))),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15841, 425, 15810])).
% 27.95/18.49 tff(15843,plain,
% 27.95/18.49 (v100(constB118) | (~v110(constB118))),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15842, 15835])).
% 27.95/18.49 tff(15844,plain,
% 27.95/18.49 (v100(constB118)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15843, 15818])).
% 27.95/18.49 tff(15845,plain,
% 27.95/18.49 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB117)) | v130(constB117, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB117)) | v130(constB117, 2))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15846,plain,
% 27.95/18.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB117)) | v130(constB117, 2))),
% 27.95/18.49 inference(quant_inst,[status(thm)],[])).
% 27.95/18.49 tff(15847,plain,
% 27.95/18.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB117)) | v130(constB117, 2)),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15846, 15845])).
% 27.95/18.49 tff(15848,plain,
% 27.95/18.49 (v130(constB117, 2)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15847, 1656, 15770])).
% 27.95/18.49 tff(15849,plain,
% 27.95/18.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB117) | (~v130(constB117, 2)) | v127(constB117, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB117) | (~v130(constB117, 2)) | v127(constB117, 2))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15850,plain,
% 27.95/18.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB117) | (~v130(constB117, 2)) | v127(constB117, 2))),
% 27.95/18.49 inference(quant_inst,[status(thm)],[])).
% 27.95/18.49 tff(15851,plain,
% 27.95/18.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB117) | (~v130(constB117, 2)) | v127(constB117, 2)),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15850, 15849])).
% 27.95/18.49 tff(15852,plain,
% 27.95/18.49 ((~v130(constB117, 2)) | v127(constB117, 2)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15851, 1498, 15792])).
% 27.95/18.49 tff(15853,plain,
% 27.95/18.49 (v127(constB117, 2)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15852, 15848])).
% 27.95/18.49 tff(15854,plain,
% 27.95/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB117, constB118)) | (~v127(constB117, 2)) | v129(constB118, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB117, constB118)) | (~v127(constB117, 2)) | v129(constB118, 2))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15855,plain,
% 27.95/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB117, constB118)) | (~v127(constB117, 2)) | v129(constB118, 2))),
% 27.95/18.49 inference(quant_inst,[status(thm)],[])).
% 27.95/18.49 tff(15856,plain,
% 27.95/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB117, constB118)) | (~v127(constB117, 2)) | v129(constB118, 2)),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15855, 15854])).
% 27.95/18.49 tff(15857,plain,
% 27.95/18.49 ((~v127(constB117, 2)) | v129(constB118, 2)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15856, 1513, 15810])).
% 27.95/18.49 tff(15858,plain,
% 27.95/18.49 (v129(constB118, 2)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15857, 15853])).
% 27.95/18.49 tff(15859,plain,
% 27.95/18.49 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB118, 2) | (~v129(constB118, 2)) | (~v100(constB118)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB118, 2) | (~v129(constB118, 2)) | (~v100(constB118)))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15860,plain,
% 27.95/18.49 ((v90(constB118, 2) | (~v100(constB118)) | (~v129(constB118, 2))) <=> (v90(constB118, 2) | (~v129(constB118, 2)) | (~v100(constB118)))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15861,plain,
% 27.95/18.49 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB118, 2) | (~v100(constB118)) | (~v129(constB118, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB118, 2) | (~v129(constB118, 2)) | (~v100(constB118))))),
% 27.95/18.49 inference(monotonicity,[status(thm)],[15860])).
% 27.95/18.49 tff(15862,plain,
% 27.95/18.49 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB118, 2) | (~v100(constB118)) | (~v129(constB118, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB118, 2) | (~v129(constB118, 2)) | (~v100(constB118)))),
% 27.95/18.49 inference(transitivity,[status(thm)],[15861, 15859])).
% 27.95/18.49 tff(15863,plain,
% 27.95/18.49 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB118, 2) | (~v100(constB118)) | (~v129(constB118, 2)))),
% 27.95/18.49 inference(quant_inst,[status(thm)],[])).
% 27.95/18.49 tff(15864,plain,
% 27.95/18.49 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB118, 2) | (~v129(constB118, 2)) | (~v100(constB118))),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15863, 15862])).
% 27.95/18.49 tff(15865,plain,
% 27.95/18.49 (v90(constB118, 2) | (~v100(constB118))),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15864, 1528, 15858])).
% 27.95/18.49 tff(15866,plain,
% 27.95/18.49 (v90(constB118, 2)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15865, 15844])).
% 27.95/18.49 tff(15867,plain,
% 27.95/18.49 ((~v1(constB119)) <=> (~v1(constB119))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15868,axiom,(~v1(constB119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_119_1_1')).
% 27.95/18.49 tff(15869,plain,
% 27.95/18.49 (~v1(constB119)),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15868, 15867])).
% 27.95/18.49 tff(15870,plain,
% 27.95/18.49 (nextState(constB118, constB119) <=> nextState(constB118, constB119)),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15871,axiom,(nextState(constB118, constB119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_118_1')).
% 27.95/18.49 tff(15872,plain,
% 27.95/18.49 (nextState(constB118, constB119)),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15871, 15870])).
% 27.95/18.49 tff(15873,plain,
% 27.95/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15874,plain,
% 27.95/18.49 (((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119)) <=> (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15875,plain,
% 27.95/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119))))),
% 27.95/18.49 inference(monotonicity,[status(thm)],[15874])).
% 27.95/18.49 tff(15876,plain,
% 27.95/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 27.95/18.49 inference(transitivity,[status(thm)],[15875, 15873])).
% 27.95/18.49 tff(15877,plain,
% 27.95/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))),
% 27.95/18.49 inference(quant_inst,[status(thm)],[])).
% 27.95/18.49 tff(15878,plain,
% 27.95/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119))),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15877, 15876])).
% 27.95/18.49 tff(15879,plain,
% 27.95/18.49 (~v101(constB119)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15878, 138, 15872, 15869])).
% 27.95/18.49 tff(15880,plain,
% 27.95/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15881,plain,
% 27.95/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))),
% 27.95/18.49 inference(quant_inst,[status(thm)],[])).
% 27.95/18.49 tff(15882,plain,
% 27.95/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119))),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15881, 15880])).
% 27.95/18.49 tff(15883,plain,
% 27.95/18.49 (v101(constB119) | (~v100(constB119))),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15882, 155, 15872])).
% 27.95/18.49 tff(15884,plain,
% 27.95/18.49 (~v100(constB119)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15883, 15879])).
% 27.95/18.49 tff(15885,plain,
% 27.95/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB118, 2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB118, 2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 2))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15886,plain,
% 27.95/18.49 (((~nextState(constB118, constB119)) | (~v90(constB118, 2)) | v100(constB119) | v90(constB119, 2)) <=> ((~v90(constB118, 2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 2))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15887,plain,
% 27.95/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB118, constB119)) | (~v90(constB118, 2)) | v100(constB119) | v90(constB119, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB118, 2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 2)))),
% 27.95/18.49 inference(monotonicity,[status(thm)],[15886])).
% 27.95/18.49 tff(15888,plain,
% 27.95/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB118, constB119)) | (~v90(constB118, 2)) | v100(constB119) | v90(constB119, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB118, 2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 2))),
% 27.95/18.49 inference(transitivity,[status(thm)],[15887, 15885])).
% 27.95/18.49 tff(15889,plain,
% 27.95/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB118, constB119)) | (~v90(constB118, 2)) | v100(constB119) | v90(constB119, 2))),
% 27.95/18.49 inference(quant_inst,[status(thm)],[])).
% 27.95/18.49 tff(15890,plain,
% 27.95/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB118, 2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 2)),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15889, 15888])).
% 27.95/18.49 tff(15891,plain,
% 27.95/18.49 ((~v90(constB118, 2)) | v100(constB119) | v90(constB119, 2)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15890, 1546, 15872])).
% 27.95/18.49 tff(15892,plain,
% 27.95/18.49 ((~v90(constB118, 2)) | v90(constB119, 2)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15891, 15884])).
% 27.95/18.49 tff(15893,plain,
% 27.95/18.49 (v90(constB119, 2)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15892, 15866])).
% 27.95/18.49 tff(15894,plain,
% 27.95/18.49 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB117)) | v130(constB117, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB117)) | v130(constB117, 0))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15895,plain,
% 27.95/18.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB117)) | v130(constB117, 0))),
% 27.95/18.49 inference(quant_inst,[status(thm)],[])).
% 27.95/18.49 tff(15896,plain,
% 27.95/18.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB117)) | v130(constB117, 0)),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15895, 15894])).
% 27.95/18.49 tff(15897,plain,
% 27.95/18.49 (v130(constB117, 0)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15896, 1753, 15770])).
% 27.95/18.49 tff(15898,plain,
% 27.95/18.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB117) | (~v130(constB117, 0)) | v127(constB117, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB117) | (~v130(constB117, 0)) | v127(constB117, 0))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15899,plain,
% 27.95/18.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB117) | (~v130(constB117, 0)) | v127(constB117, 0))),
% 27.95/18.49 inference(quant_inst,[status(thm)],[])).
% 27.95/18.49 tff(15900,plain,
% 27.95/18.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB117) | (~v130(constB117, 0)) | v127(constB117, 0)),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15899, 15898])).
% 27.95/18.49 tff(15901,plain,
% 27.95/18.49 ((~v130(constB117, 0)) | v127(constB117, 0)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15900, 612, 15792])).
% 27.95/18.49 tff(15902,plain,
% 27.95/18.49 (v127(constB117, 0)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15901, 15897])).
% 27.95/18.49 tff(15903,plain,
% 27.95/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB117, constB118)) | (~v127(constB117, 0)) | v129(constB118, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB117, constB118)) | (~v127(constB117, 0)) | v129(constB118, 0))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15904,plain,
% 27.95/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB117, constB118)) | (~v127(constB117, 0)) | v129(constB118, 0))),
% 27.95/18.49 inference(quant_inst,[status(thm)],[])).
% 27.95/18.49 tff(15905,plain,
% 27.95/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB117, constB118)) | (~v127(constB117, 0)) | v129(constB118, 0)),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15904, 15903])).
% 27.95/18.49 tff(15906,plain,
% 27.95/18.49 ((~v127(constB117, 0)) | v129(constB118, 0)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15905, 627, 15810])).
% 27.95/18.49 tff(15907,plain,
% 27.95/18.49 (v129(constB118, 0)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15906, 15902])).
% 27.95/18.49 tff(15908,plain,
% 27.95/18.49 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB118, 0) | (~v129(constB118, 0)) | (~v100(constB118)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB118, 0) | (~v129(constB118, 0)) | (~v100(constB118)))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15909,plain,
% 27.95/18.49 ((v90(constB118, 0) | (~v100(constB118)) | (~v129(constB118, 0))) <=> (v90(constB118, 0) | (~v129(constB118, 0)) | (~v100(constB118)))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15910,plain,
% 27.95/18.49 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB118, 0) | (~v100(constB118)) | (~v129(constB118, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB118, 0) | (~v129(constB118, 0)) | (~v100(constB118))))),
% 27.95/18.49 inference(monotonicity,[status(thm)],[15909])).
% 27.95/18.49 tff(15911,plain,
% 27.95/18.49 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB118, 0) | (~v100(constB118)) | (~v129(constB118, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB118, 0) | (~v129(constB118, 0)) | (~v100(constB118)))),
% 27.95/18.49 inference(transitivity,[status(thm)],[15910, 15908])).
% 27.95/18.49 tff(15912,plain,
% 27.95/18.49 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB118, 0) | (~v100(constB118)) | (~v129(constB118, 0)))),
% 27.95/18.49 inference(quant_inst,[status(thm)],[])).
% 27.95/18.49 tff(15913,plain,
% 27.95/18.49 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB118, 0) | (~v129(constB118, 0)) | (~v100(constB118))),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15912, 15911])).
% 27.95/18.49 tff(15914,plain,
% 27.95/18.49 (v90(constB118, 0) | (~v100(constB118))),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15913, 642, 15907])).
% 27.95/18.49 tff(15915,plain,
% 27.95/18.49 (v90(constB118, 0)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15914, 15844])).
% 27.95/18.49 tff(15916,plain,
% 27.95/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB118, 0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB118, 0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 0))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15917,plain,
% 27.95/18.49 (((~nextState(constB118, constB119)) | (~v90(constB118, 0)) | v100(constB119) | v90(constB119, 0)) <=> ((~v90(constB118, 0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 0))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15918,plain,
% 27.95/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB118, constB119)) | (~v90(constB118, 0)) | v100(constB119) | v90(constB119, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB118, 0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 0)))),
% 27.95/18.49 inference(monotonicity,[status(thm)],[15917])).
% 27.95/18.49 tff(15919,plain,
% 27.95/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB118, constB119)) | (~v90(constB118, 0)) | v100(constB119) | v90(constB119, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB118, 0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 0))),
% 27.95/18.49 inference(transitivity,[status(thm)],[15918, 15916])).
% 27.95/18.49 tff(15920,plain,
% 27.95/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB118, constB119)) | (~v90(constB118, 0)) | v100(constB119) | v90(constB119, 0))),
% 27.95/18.49 inference(quant_inst,[status(thm)],[])).
% 27.95/18.49 tff(15921,plain,
% 27.95/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB118, 0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 0)),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15920, 15919])).
% 27.95/18.49 tff(15922,plain,
% 27.95/18.49 ((~v90(constB118, 0)) | v100(constB119) | v90(constB119, 0)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15921, 660, 15872])).
% 27.95/18.49 tff(15923,plain,
% 27.95/18.49 ((~v90(constB118, 0)) | v90(constB119, 0)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15922, 15884])).
% 27.95/18.49 tff(15924,plain,
% 27.95/18.49 (v90(constB119, 0)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15923, 15915])).
% 27.95/18.49 tff(15925,plain,
% 27.95/18.49 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB117)) | (~v130(constB117, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB117)) | (~v130(constB117, 1)))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15926,plain,
% 27.95/18.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB117)) | (~v130(constB117, 1)))),
% 27.95/18.49 inference(quant_inst,[status(thm)],[])).
% 27.95/18.49 tff(15927,plain,
% 27.95/18.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB117)) | (~v130(constB117, 1))),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15926, 15925])).
% 27.95/18.49 tff(15928,plain,
% 27.95/18.49 (~v130(constB117, 1)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15927, 1712, 15770])).
% 27.95/18.49 tff(15929,plain,
% 27.95/18.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB117, 1)) | v26(constB117) | v130(constB117, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB117, 1)) | v26(constB117) | v130(constB117, 1))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15930,plain,
% 27.95/18.49 ((v26(constB117) | v130(constB117, 1) | (~v127(constB117, 1))) <=> ((~v127(constB117, 1)) | v26(constB117) | v130(constB117, 1))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15931,plain,
% 27.95/18.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB117) | v130(constB117, 1) | (~v127(constB117, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB117, 1)) | v26(constB117) | v130(constB117, 1)))),
% 27.95/18.49 inference(monotonicity,[status(thm)],[15930])).
% 27.95/18.49 tff(15932,plain,
% 27.95/18.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB117) | v130(constB117, 1) | (~v127(constB117, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB117, 1)) | v26(constB117) | v130(constB117, 1))),
% 27.95/18.49 inference(transitivity,[status(thm)],[15931, 15929])).
% 27.95/18.49 tff(15933,plain,
% 27.95/18.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB117) | v130(constB117, 1) | (~v127(constB117, 1)))),
% 27.95/18.49 inference(quant_inst,[status(thm)],[])).
% 27.95/18.49 tff(15934,plain,
% 27.95/18.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB117, 1)) | v26(constB117) | v130(constB117, 1)),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15933, 15932])).
% 27.95/18.49 tff(15935,plain,
% 27.95/18.49 ((~v127(constB117, 1)) | v130(constB117, 1)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15934, 541, 15792])).
% 27.95/18.49 tff(15936,plain,
% 27.95/18.49 (~v127(constB117, 1)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15935, 15928])).
% 27.95/18.49 tff(15937,plain,
% 27.95/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB117, constB118)) | v127(constB117, 1) | (~v129(constB118, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB117, constB118)) | v127(constB117, 1) | (~v129(constB118, 1)))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15938,plain,
% 27.95/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB117, constB118)) | v127(constB117, 1) | (~v129(constB118, 1)))),
% 27.95/18.49 inference(quant_inst,[status(thm)],[])).
% 27.95/18.49 tff(15939,plain,
% 27.95/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB117, constB118)) | v127(constB117, 1) | (~v129(constB118, 1))),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15938, 15937])).
% 27.95/18.49 tff(15940,plain,
% 27.95/18.49 (v127(constB117, 1) | (~v129(constB118, 1))),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15939, 559, 15810])).
% 27.95/18.49 tff(15941,plain,
% 27.95/18.49 (~v129(constB118, 1)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15940, 15936])).
% 27.95/18.49 tff(15942,plain,
% 27.95/18.49 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB118, 1)) | v129(constB118, 1) | (~v100(constB118)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB118, 1)) | v129(constB118, 1) | (~v100(constB118)))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15943,plain,
% 27.95/18.49 (((~v90(constB118, 1)) | (~v100(constB118)) | v129(constB118, 1)) <=> ((~v90(constB118, 1)) | v129(constB118, 1) | (~v100(constB118)))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15944,plain,
% 27.95/18.49 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB118, 1)) | (~v100(constB118)) | v129(constB118, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB118, 1)) | v129(constB118, 1) | (~v100(constB118))))),
% 27.95/18.49 inference(monotonicity,[status(thm)],[15943])).
% 27.95/18.49 tff(15945,plain,
% 27.95/18.49 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB118, 1)) | (~v100(constB118)) | v129(constB118, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB118, 1)) | v129(constB118, 1) | (~v100(constB118)))),
% 27.95/18.49 inference(transitivity,[status(thm)],[15944, 15942])).
% 27.95/18.49 tff(15946,plain,
% 27.95/18.49 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB118, 1)) | (~v100(constB118)) | v129(constB118, 1))),
% 27.95/18.49 inference(quant_inst,[status(thm)],[])).
% 27.95/18.49 tff(15947,plain,
% 27.95/18.49 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB118, 1)) | v129(constB118, 1) | (~v100(constB118))),
% 27.95/18.49 inference(modus_ponens,[status(thm)],[15946, 15945])).
% 27.95/18.49 tff(15948,plain,
% 27.95/18.49 ((~v90(constB118, 1)) | (~v100(constB118))),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15947, 574, 15941])).
% 27.95/18.49 tff(15949,plain,
% 27.95/18.49 (~v90(constB118, 1)),
% 27.95/18.49 inference(unit_resolution,[status(thm)],[15948, 15844])).
% 27.95/18.49 tff(15950,plain,
% 27.95/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB118, 1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB118, 1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, 1)))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15951,plain,
% 27.95/18.49 (((~nextState(constB118, constB119)) | v90(constB118, 1) | v100(constB119) | (~v90(constB119, 1))) <=> (v90(constB118, 1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, 1)))),
% 27.95/18.49 inference(rewrite,[status(thm)],[])).
% 27.95/18.49 tff(15952,plain,
% 27.95/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB118, constB119)) | v90(constB118, 1) | v100(constB119) | (~v90(constB119, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB118, 1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, 1))))),
% 27.95/18.49 inference(monotonicity,[status(thm)],[15951])).
% 27.95/18.49 tff(15953,plain,
% 27.95/18.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB118, constB119)) | v90(constB118, 1) | v100(constB119) | (~v90(constB119, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB118, 1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, 1)))),
% 27.95/18.49 inference(transitivity,[status(thm)],[15952, 15950])).
% 27.95/18.49 tff(15954,plain,
% 27.95/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB118, constB119)) | v90(constB118, 1) | v100(constB119) | (~v90(constB119, 1)))),
% 27.95/18.49 inference(quant_inst,[status(thm)],[])).
% 27.95/18.49 tff(15955,plain,
% 27.95/18.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB118, 1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, 1))),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[15954, 15953])).
% 27.95/18.50 tff(15956,plain,
% 27.95/18.50 (v90(constB118, 1) | v100(constB119) | (~v90(constB119, 1))),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[15955, 191, 15872])).
% 27.95/18.50 tff(15957,plain,
% 27.95/18.50 (v90(constB118, 1) | (~v90(constB119, 1))),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[15956, 15884])).
% 27.95/18.50 tff(15958,plain,
% 27.95/18.50 (~v90(constB119, 1)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[15957, 15949])).
% 27.95/18.50 tff(15959,assumption,(~v124(constB119)), introduced(assumption)).
% 27.95/18.50 tff(15960,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB119, 0)) | v90(constB119, 1) | (~v90(constB119, 2)) | v124(constB119))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB119, 0)) | v90(constB119, 1) | (~v90(constB119, 2)) | v124(constB119))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(15961,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB119, 0)) | v90(constB119, 1) | (~v90(constB119, 2)) | v124(constB119))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(15962,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB119, 0)) | v90(constB119, 1) | (~v90(constB119, 2)) | v124(constB119)),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[15961, 15960])).
% 27.95/18.50 tff(15963,plain,
% 27.95/18.50 ((~v90(constB119, 0)) | v90(constB119, 1) | (~v90(constB119, 2))),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[15962, 1794, 15959])).
% 27.95/18.50 tff(15964,plain,
% 27.95/18.50 ($false),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[15963, 15958, 15924, 15893])).
% 27.95/18.50 tff(15965,plain,((~v123(constB117)) | v124(constB119)), inference(lemma,lemma(discharge,[]))).
% 27.95/18.50 tff(15966,plain,
% 27.95/18.50 (v124(constB119)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[15965, 15769])).
% 27.95/18.50 tff(15967,assumption,(v90(constB122, 2)), introduced(assumption)).
% 27.95/18.50 tff(15968,assumption,(v124(constB119)), introduced(assumption)).
% 27.95/18.50 tff(15969,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB119) | (~v124(constB119)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB119) | (~v124(constB119)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(15970,plain,
% 27.95/18.50 (((~v124(constB119)) | v114(constB119)) <=> (v114(constB119) | (~v124(constB119)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(15971,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB119)) | v114(constB119))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB119) | (~v124(constB119))))),
% 27.95/18.50 inference(monotonicity,[status(thm)],[15970])).
% 27.95/18.50 tff(15972,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB119)) | v114(constB119))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB119) | (~v124(constB119)))),
% 27.95/18.50 inference(transitivity,[status(thm)],[15971, 15969])).
% 27.95/18.50 tff(15973,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB119)) | v114(constB119))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(15974,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB119) | (~v124(constB119))),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[15973, 15972])).
% 27.95/18.50 tff(15975,plain,
% 27.95/18.50 (v114(constB119)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[15974, 1805, 15968])).
% 27.95/18.50 tff(15976,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB119) | (~v114(constB119)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB119) | (~v114(constB119)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(15977,plain,
% 27.95/18.50 (((~v114(constB119)) | v113(constB119)) <=> (v113(constB119) | (~v114(constB119)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(15978,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB119)) | v113(constB119))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB119) | (~v114(constB119))))),
% 27.95/18.50 inference(monotonicity,[status(thm)],[15977])).
% 27.95/18.50 tff(15979,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB119)) | v113(constB119))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB119) | (~v114(constB119)))),
% 27.95/18.50 inference(transitivity,[status(thm)],[15978, 15976])).
% 27.95/18.50 tff(15980,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB119)) | v113(constB119))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(15981,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB119) | (~v114(constB119))),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[15980, 15979])).
% 27.95/18.50 tff(15982,plain,
% 27.95/18.50 (v113(constB119)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[15981, 314, 15975])).
% 27.95/18.50 tff(15983,assumption,(v26(constB119)), introduced(assumption)).
% 27.95/18.50 tff(15984,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB119))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(15985,plain,
% 27.95/18.50 ($false),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[15984, 95, 15983])).
% 27.95/18.50 tff(15986,plain,(~v26(constB119)), inference(lemma,lemma(discharge,[]))).
% 27.95/18.50 tff(15987,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | (~v113(constB119)) | v112(constB119))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB119) | (~v113(constB119)) | v112(constB119))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(15988,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | (~v113(constB119)) | v112(constB119))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(15989,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB119) | (~v113(constB119)) | v112(constB119)),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[15988, 15987])).
% 27.95/18.50 tff(15990,plain,
% 27.95/18.50 ((~v113(constB119)) | v112(constB119)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[15989, 328, 15986])).
% 27.95/18.50 tff(15991,plain,
% 27.95/18.50 (v112(constB119)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[15990, 15982])).
% 27.95/18.50 tff(15992,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB119) | (~v112(constB119)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB119) | (~v112(constB119)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(15993,plain,
% 27.95/18.50 (((~v112(constB119)) | v108(constB119)) <=> (v108(constB119) | (~v112(constB119)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(15994,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB119)) | v108(constB119))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB119) | (~v112(constB119))))),
% 27.95/18.50 inference(monotonicity,[status(thm)],[15993])).
% 27.95/18.50 tff(15995,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB119)) | v108(constB119))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB119) | (~v112(constB119)))),
% 27.95/18.50 inference(transitivity,[status(thm)],[15994, 15992])).
% 27.95/18.50 tff(15996,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB119)) | v108(constB119))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(15997,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB119) | (~v112(constB119))),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[15996, 15995])).
% 27.95/18.50 tff(15998,plain,
% 27.95/18.50 (v108(constB119)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[15997, 340, 15991])).
% 27.95/18.50 tff(15999,plain,
% 27.95/18.50 (nextState(constB119, constB120) <=> nextState(constB119, constB120)),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16000,axiom,(nextState(constB119, constB120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_119_1')).
% 27.95/18.50 tff(16001,plain,
% 27.95/18.50 (nextState(constB119, constB120)),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[16000, 15999])).
% 27.95/18.50 tff(16002,plain,
% 27.95/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16003,plain,
% 27.95/18.50 (((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120)) <=> ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16004,plain,
% 27.95/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119))))),
% 27.95/18.50 inference(monotonicity,[status(thm)],[16003])).
% 27.95/18.50 tff(16005,plain,
% 27.95/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 27.95/18.50 inference(transitivity,[status(thm)],[16004, 16002])).
% 27.95/18.50 tff(16006,plain,
% 27.95/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(16007,plain,
% 27.95/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119))),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[16006, 16005])).
% 27.95/18.50 tff(16008,plain,
% 27.95/18.50 (v110(constB120) | (~v108(constB119))),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16007, 360, 16001])).
% 27.95/18.50 tff(16009,plain,
% 27.95/18.50 (v110(constB120)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16008, 15998])).
% 27.95/18.50 tff(16010,plain,
% 27.95/18.50 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16011,plain,
% 27.95/18.50 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(16012,plain,
% 27.95/18.50 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120))),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[16011, 16010])).
% 27.95/18.50 tff(16013,plain,
% 27.95/18.50 (~v104(constB120)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16012, 378, 16001, 15869])).
% 27.95/18.50 tff(16014,plain,
% 27.95/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16015,plain,
% 27.95/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(16016,plain,
% 27.95/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB119, constB120)) | v102(constB120) | v104(constB120)),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[16015, 16014])).
% 27.95/18.50 tff(16017,plain,
% 27.95/18.50 (v102(constB120) | v104(constB120)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16016, 392, 16001])).
% 27.95/18.50 tff(16018,plain,
% 27.95/18.50 (v102(constB120)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16017, 16013])).
% 27.95/18.50 tff(16019,plain,
% 27.95/18.50 (v1(constB120) <=> v1(constB120)),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16020,axiom,(v1(constB120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_120_1')).
% 27.95/18.50 tff(16021,plain,
% 27.95/18.50 (v1(constB120)),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[16020, 16019])).
% 27.95/18.50 tff(16022,plain,
% 27.95/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16023,plain,
% 27.95/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(16024,plain,
% 27.95/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120))),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[16023, 16022])).
% 27.95/18.50 tff(16025,plain,
% 27.95/18.50 (v101(constB120) | (~v102(constB120))),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16024, 410, 16001, 16021])).
% 27.95/18.50 tff(16026,plain,
% 27.95/18.50 (v101(constB120)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16025, 16018])).
% 27.95/18.50 tff(16027,plain,
% 27.95/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16028,plain,
% 27.95/18.50 (((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120)) <=> ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16029,plain,
% 27.95/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120))))),
% 27.95/18.50 inference(monotonicity,[status(thm)],[16028])).
% 27.95/18.50 tff(16030,plain,
% 27.95/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 27.95/18.50 inference(transitivity,[status(thm)],[16029, 16027])).
% 27.95/18.50 tff(16031,plain,
% 27.95/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(16032,plain,
% 27.95/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120))),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[16031, 16030])).
% 27.95/18.50 tff(16033,plain,
% 27.95/18.50 (v100(constB120) | (~v101(constB120)) | (~v110(constB120))),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16032, 425, 16001])).
% 27.95/18.50 tff(16034,plain,
% 27.95/18.50 (v100(constB120) | (~v110(constB120))),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16033, 16026])).
% 27.95/18.50 tff(16035,plain,
% 27.95/18.50 (v100(constB120)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16034, 16009])).
% 27.95/18.50 tff(16036,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB119)) | (~v130(constB119, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB119)) | (~v130(constB119, 0)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16037,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB119)) | (~v130(constB119, 0)))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(16038,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB119)) | (~v130(constB119, 0))),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[16037, 16036])).
% 27.95/18.50 tff(16039,plain,
% 27.95/18.50 (~v130(constB119, 0)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16038, 1967, 15968])).
% 27.95/18.50 tff(16040,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB119, 0)) | v26(constB119) | v130(constB119, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB119, 0)) | v26(constB119) | v130(constB119, 0))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16041,plain,
% 27.95/18.50 ((v26(constB119) | v130(constB119, 0) | (~v127(constB119, 0))) <=> ((~v127(constB119, 0)) | v26(constB119) | v130(constB119, 0))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16042,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB119) | v130(constB119, 0) | (~v127(constB119, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB119, 0)) | v26(constB119) | v130(constB119, 0)))),
% 27.95/18.50 inference(monotonicity,[status(thm)],[16041])).
% 27.95/18.50 tff(16043,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB119) | v130(constB119, 0) | (~v127(constB119, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB119, 0)) | v26(constB119) | v130(constB119, 0))),
% 27.95/18.50 inference(transitivity,[status(thm)],[16042, 16040])).
% 27.95/18.50 tff(16044,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB119) | v130(constB119, 0) | (~v127(constB119, 0)))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(16045,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB119, 0)) | v26(constB119) | v130(constB119, 0)),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[16044, 16043])).
% 27.95/18.50 tff(16046,plain,
% 27.95/18.50 ((~v127(constB119, 0)) | v130(constB119, 0)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16045, 933, 15986])).
% 27.95/18.50 tff(16047,plain,
% 27.95/18.50 (~v127(constB119, 0)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16046, 16039])).
% 27.95/18.50 tff(16048,plain,
% 27.95/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB119, constB120)) | v127(constB119, 0) | (~v129(constB120, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB119, constB120)) | v127(constB119, 0) | (~v129(constB120, 0)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16049,plain,
% 27.95/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB119, constB120)) | v127(constB119, 0) | (~v129(constB120, 0)))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(16050,plain,
% 27.95/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB119, constB120)) | v127(constB119, 0) | (~v129(constB120, 0))),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[16049, 16048])).
% 27.95/18.50 tff(16051,plain,
% 27.95/18.50 (v127(constB119, 0) | (~v129(constB120, 0))),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16050, 951, 16001])).
% 27.95/18.50 tff(16052,plain,
% 27.95/18.50 (~v129(constB120, 0)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16051, 16047])).
% 27.95/18.50 tff(16053,plain,
% 27.95/18.50 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB120, 0)) | v129(constB120, 0) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB120, 0)) | v129(constB120, 0) | (~v100(constB120)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16054,plain,
% 27.95/18.50 (((~v90(constB120, 0)) | (~v100(constB120)) | v129(constB120, 0)) <=> ((~v90(constB120, 0)) | v129(constB120, 0) | (~v100(constB120)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16055,plain,
% 27.95/18.50 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB120, 0)) | (~v100(constB120)) | v129(constB120, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB120, 0)) | v129(constB120, 0) | (~v100(constB120))))),
% 27.95/18.50 inference(monotonicity,[status(thm)],[16054])).
% 27.95/18.50 tff(16056,plain,
% 27.95/18.50 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB120, 0)) | (~v100(constB120)) | v129(constB120, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB120, 0)) | v129(constB120, 0) | (~v100(constB120)))),
% 27.95/18.50 inference(transitivity,[status(thm)],[16055, 16053])).
% 27.95/18.50 tff(16057,plain,
% 27.95/18.50 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB120, 0)) | (~v100(constB120)) | v129(constB120, 0))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(16058,plain,
% 27.95/18.50 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB120, 0)) | v129(constB120, 0) | (~v100(constB120))),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[16057, 16056])).
% 27.95/18.50 tff(16059,plain,
% 27.95/18.50 ((~v90(constB120, 0)) | (~v100(constB120))),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16058, 966, 16052])).
% 27.95/18.50 tff(16060,plain,
% 27.95/18.50 (~v90(constB120, 0)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16059, 16035])).
% 27.95/18.50 tff(16061,assumption,(~v90(constB120, 0)), introduced(assumption)).
% 27.95/18.50 tff(16062,plain,
% 27.95/18.50 ((~v1(constB121)) <=> (~v1(constB121))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16063,axiom,(~v1(constB121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_121_1_1')).
% 27.95/18.50 tff(16064,plain,
% 27.95/18.50 (~v1(constB121)),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[16063, 16062])).
% 27.95/18.50 tff(16065,plain,
% 27.95/18.50 (nextState(constB120, constB121) <=> nextState(constB120, constB121)),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16066,axiom,(nextState(constB120, constB121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_120_1')).
% 27.95/18.50 tff(16067,plain,
% 27.95/18.50 (nextState(constB120, constB121)),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[16066, 16065])).
% 27.95/18.50 tff(16068,plain,
% 27.95/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16069,plain,
% 27.95/18.50 (((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121)) <=> (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16070,plain,
% 27.95/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121))))),
% 27.95/18.50 inference(monotonicity,[status(thm)],[16069])).
% 27.95/18.50 tff(16071,plain,
% 27.95/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 27.95/18.50 inference(transitivity,[status(thm)],[16070, 16068])).
% 27.95/18.50 tff(16072,plain,
% 27.95/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(16073,plain,
% 27.95/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121))),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[16072, 16071])).
% 27.95/18.50 tff(16074,plain,
% 27.95/18.50 (~v101(constB121)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16073, 138, 16067, 16064])).
% 27.95/18.50 tff(16075,plain,
% 27.95/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16076,plain,
% 27.95/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(16077,plain,
% 27.95/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121))),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[16076, 16075])).
% 27.95/18.50 tff(16078,plain,
% 27.95/18.50 (v101(constB121) | (~v100(constB121))),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16077, 155, 16067])).
% 27.95/18.50 tff(16079,plain,
% 27.95/18.50 (~v100(constB121)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16078, 16074])).
% 27.95/18.50 tff(16080,plain,
% 27.95/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB120, 0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB120, 0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 0)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16081,plain,
% 27.95/18.50 (((~nextState(constB120, constB121)) | v90(constB120, 0) | v100(constB121) | (~v90(constB121, 0))) <=> (v90(constB120, 0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 0)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16082,plain,
% 27.95/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB120, constB121)) | v90(constB120, 0) | v100(constB121) | (~v90(constB121, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB120, 0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 0))))),
% 27.95/18.50 inference(monotonicity,[status(thm)],[16081])).
% 27.95/18.50 tff(16083,plain,
% 27.95/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB120, constB121)) | v90(constB120, 0) | v100(constB121) | (~v90(constB121, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB120, 0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 0)))),
% 27.95/18.50 inference(transitivity,[status(thm)],[16082, 16080])).
% 27.95/18.50 tff(16084,plain,
% 27.95/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB120, constB121)) | v90(constB120, 0) | v100(constB121) | (~v90(constB121, 0)))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(16085,plain,
% 27.95/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB120, 0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 0))),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[16084, 16083])).
% 27.95/18.50 tff(16086,plain,
% 27.95/18.50 (v90(constB120, 0) | v100(constB121) | (~v90(constB121, 0))),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16085, 212, 16067])).
% 27.95/18.50 tff(16087,plain,
% 27.95/18.50 (v90(constB120, 0) | (~v90(constB121, 0))),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16086, 16079])).
% 27.95/18.50 tff(16088,plain,
% 27.95/18.50 (~v90(constB121, 0)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16087, 16061])).
% 27.95/18.50 tff(16089,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB121)) | v90(constB121, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB121)) | v90(constB121, 0))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16090,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB121)) | v90(constB121, 0))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(16091,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB121)) | v90(constB121, 0)),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[16090, 16089])).
% 27.95/18.50 tff(16092,plain,
% 27.95/18.50 (~v124(constB121)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16091, 4876, 16088])).
% 27.95/18.50 tff(16093,assumption,(~v100(constB120)), introduced(assumption)).
% 27.95/18.50 tff(16094,plain,
% 27.95/18.50 (~v110(constB120)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16034, 16093])).
% 27.95/18.50 tff(16095,plain,
% 27.95/18.50 (~v108(constB119)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16008, 16094])).
% 27.95/18.50 tff(16096,plain,
% 27.95/18.50 (~v112(constB119)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[15997, 340, 16095])).
% 27.95/18.50 tff(16097,plain,
% 27.95/18.50 (~v113(constB119)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[15990, 16096])).
% 27.95/18.50 tff(16098,plain,
% 27.95/18.50 (~v114(constB119)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[15981, 314, 16097])).
% 27.95/18.50 tff(16099,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB119) | (~v115(constB119)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB119) | (~v115(constB119)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16100,plain,
% 27.95/18.50 (((~v115(constB119)) | v114(constB119)) <=> (v114(constB119) | (~v115(constB119)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16101,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB119)) | v114(constB119))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB119) | (~v115(constB119))))),
% 27.95/18.50 inference(monotonicity,[status(thm)],[16100])).
% 27.95/18.50 tff(16102,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB119)) | v114(constB119))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB119) | (~v115(constB119)))),
% 27.95/18.50 inference(transitivity,[status(thm)],[16101, 16099])).
% 27.95/18.50 tff(16103,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB119)) | v114(constB119))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(16104,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB119) | (~v115(constB119))),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[16103, 16102])).
% 27.95/18.50 tff(16105,plain,
% 27.95/18.50 (~v115(constB119)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16104, 300, 16098])).
% 27.95/18.50 tff(16106,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB119)) | v115(constB119))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB119)) | v115(constB119))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16107,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB119)) | v115(constB119))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(16108,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB119)) | v115(constB119)),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[16107, 16106])).
% 27.95/18.50 tff(16109,plain,
% 27.95/18.50 (~v116(constB119)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16108, 286, 16105])).
% 27.95/18.50 tff(16110,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB119) | (~v117(constB119)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB119) | (~v117(constB119)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16111,plain,
% 27.95/18.50 (((~v117(constB119)) | v116(constB119)) <=> (v116(constB119) | (~v117(constB119)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16112,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB119)) | v116(constB119))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB119) | (~v117(constB119))))),
% 27.95/18.50 inference(monotonicity,[status(thm)],[16111])).
% 27.95/18.50 tff(16113,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB119)) | v116(constB119))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB119) | (~v117(constB119)))),
% 27.95/18.50 inference(transitivity,[status(thm)],[16112, 16110])).
% 27.95/18.50 tff(16114,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB119)) | v116(constB119))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(16115,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB119) | (~v117(constB119))),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[16114, 16113])).
% 27.95/18.50 tff(16116,plain,
% 27.95/18.50 (~v117(constB119)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16115, 272, 16109])).
% 27.95/18.50 tff(16117,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB119) | (~v118(constB119)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB119) | (~v118(constB119)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16118,plain,
% 27.95/18.50 (((~v118(constB119)) | v117(constB119)) <=> (v117(constB119) | (~v118(constB119)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16119,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB119)) | v117(constB119))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB119) | (~v118(constB119))))),
% 27.95/18.50 inference(monotonicity,[status(thm)],[16118])).
% 27.95/18.50 tff(16120,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB119)) | v117(constB119))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB119) | (~v118(constB119)))),
% 27.95/18.50 inference(transitivity,[status(thm)],[16119, 16117])).
% 27.95/18.50 tff(16121,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB119)) | v117(constB119))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(16122,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB119) | (~v118(constB119))),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[16121, 16120])).
% 27.95/18.50 tff(16123,plain,
% 27.95/18.50 (~v118(constB119)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16122, 258, 16116])).
% 27.95/18.50 tff(16124,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB119) | (~v119(constB119)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB119) | (~v119(constB119)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16125,plain,
% 27.95/18.50 (((~v119(constB119)) | v118(constB119)) <=> (v118(constB119) | (~v119(constB119)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16126,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB119)) | v118(constB119))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB119) | (~v119(constB119))))),
% 27.95/18.50 inference(monotonicity,[status(thm)],[16125])).
% 27.95/18.50 tff(16127,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB119)) | v118(constB119))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB119) | (~v119(constB119)))),
% 27.95/18.50 inference(transitivity,[status(thm)],[16126, 16124])).
% 27.95/18.50 tff(16128,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB119)) | v118(constB119))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(16129,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB119) | (~v119(constB119))),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[16128, 16127])).
% 27.95/18.50 tff(16130,plain,
% 27.95/18.50 (~v119(constB119)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16129, 247, 16123])).
% 27.95/18.50 tff(16131,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB119)) | v113(constB119))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB119)) | v113(constB119))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16132,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB119)) | v113(constB119))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(16133,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB119)) | v113(constB119)),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[16132, 16131])).
% 27.95/18.50 tff(16134,plain,
% 27.95/18.50 (~v125(constB119)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16133, 2022, 16097])).
% 27.95/18.50 tff(16135,plain,
% 27.95/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB119, 0)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB119, 0)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, 0))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16136,plain,
% 27.95/18.50 (((~nextState(constB119, constB120)) | (~v90(constB119, 0)) | v100(constB120) | v90(constB120, 0)) <=> ((~v90(constB119, 0)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, 0))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16137,plain,
% 27.95/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB119, constB120)) | (~v90(constB119, 0)) | v100(constB120) | v90(constB120, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB119, 0)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, 0)))),
% 27.95/18.50 inference(monotonicity,[status(thm)],[16136])).
% 27.95/18.50 tff(16138,plain,
% 27.95/18.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB119, constB120)) | (~v90(constB119, 0)) | v100(constB120) | v90(constB120, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB119, 0)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, 0))),
% 27.95/18.50 inference(transitivity,[status(thm)],[16137, 16135])).
% 27.95/18.50 tff(16139,plain,
% 27.95/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB119, constB120)) | (~v90(constB119, 0)) | v100(constB120) | v90(constB120, 0))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(16140,plain,
% 27.95/18.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB119, 0)) | (~nextState(constB119, constB120)) | v100(constB120) | v90(constB120, 0)),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[16139, 16138])).
% 27.95/18.50 tff(16141,plain,
% 27.95/18.50 ((~v90(constB119, 0)) | v100(constB120) | v90(constB120, 0)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16140, 660, 16001])).
% 27.95/18.50 tff(16142,plain,
% 27.95/18.50 (~v90(constB119, 0)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16141, 16093, 16061])).
% 27.95/18.50 tff(16143,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB119) | (~v123(constB119)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB119) | (~v123(constB119)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16144,plain,
% 27.95/18.50 (((~v123(constB119)) | v115(constB119)) <=> (v115(constB119) | (~v123(constB119)))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16145,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB119)) | v115(constB119))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB119) | (~v123(constB119))))),
% 27.95/18.50 inference(monotonicity,[status(thm)],[16144])).
% 27.95/18.50 tff(16146,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB119)) | v115(constB119))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB119) | (~v123(constB119)))),
% 27.95/18.50 inference(transitivity,[status(thm)],[16145, 16143])).
% 27.95/18.50 tff(16147,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB119)) | v115(constB119))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(16148,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB119) | (~v123(constB119))),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[16147, 16146])).
% 27.95/18.50 tff(16149,plain,
% 27.95/18.50 (~v123(constB119)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16148, 1579, 16105])).
% 27.95/18.50 tff(16150,assumption,(~v123(constB119)), introduced(assumption)).
% 27.95/18.50 tff(16151,assumption,(v90(constB119, 2)), introduced(assumption)).
% 27.95/18.50 tff(16152,assumption,(~v125(constB119)), introduced(assumption)).
% 27.95/18.50 tff(16153,assumption,(~v90(constB119, 0)), introduced(assumption)).
% 27.95/18.50 tff(16154,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB119, 0) | (~v90(constB119, 1)) | (~v90(constB119, 2)) | v125(constB119))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB119, 0) | (~v90(constB119, 1)) | (~v90(constB119, 2)) | v125(constB119))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16155,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB119, 0) | (~v90(constB119, 1)) | (~v90(constB119, 2)) | v125(constB119))),
% 27.95/18.50 inference(quant_inst,[status(thm)],[])).
% 27.95/18.50 tff(16156,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB119, 0) | (~v90(constB119, 1)) | (~v90(constB119, 2)) | v125(constB119)),
% 27.95/18.50 inference(modus_ponens,[status(thm)],[16155, 16154])).
% 27.95/18.50 tff(16157,plain,
% 27.95/18.50 ((~v90(constB119, 1)) | (~v90(constB119, 2)) | v125(constB119)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16156, 2011, 16153])).
% 27.95/18.50 tff(16158,plain,
% 27.95/18.50 (~v90(constB119, 1)),
% 27.95/18.50 inference(unit_resolution,[status(thm)],[16157, 16151, 16152])).
% 27.95/18.50 tff(16159,plain,
% 27.95/18.50 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB119, 0) | v90(constB119, 1) | (~v90(constB119, 2)) | v123(constB119))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB119, 0) | v90(constB119, 1) | (~v90(constB119, 2)) | v123(constB119))),
% 27.95/18.50 inference(rewrite,[status(thm)],[])).
% 27.95/18.50 tff(16160,plain,
% 27.95/18.50 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB119, 0) | v90(constB119, 1) | (~v90(constB119, 2)) | v123(constB119))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16161,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB119, 0) | v90(constB119, 1) | (~v90(constB119, 2)) | v123(constB119)),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16160, 16159])).
% 27.95/18.51 tff(16162,plain,
% 27.95/18.51 (v90(constB119, 1) | (~v90(constB119, 2)) | v123(constB119)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16161, 1565, 16153])).
% 27.95/18.51 tff(16163,plain,
% 27.95/18.51 ($false),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16162, 16158, 16151, 16150])).
% 27.95/18.51 tff(16164,plain,((~v90(constB119, 2)) | v123(constB119) | v90(constB119, 0) | v125(constB119)), inference(lemma,lemma(discharge,[]))).
% 27.95/18.51 tff(16165,plain,
% 27.95/18.51 (~v90(constB119, 2)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16164, 16149, 16142, 16134])).
% 27.95/18.51 tff(16166,assumption,(v121(constB119)), introduced(assumption)).
% 27.95/18.51 tff(16167,plain,
% 27.95/18.51 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB119)) | v130(constB119, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB119)) | v130(constB119, 0))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16168,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB119)) | v130(constB119, 0))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16169,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB119)) | v130(constB119, 0)),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16168, 16167])).
% 27.95/18.51 tff(16170,plain,
% 27.95/18.51 (v130(constB119, 0)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16169, 1099, 16166])).
% 27.95/18.51 tff(16171,plain,
% 27.95/18.51 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB119) | (~v130(constB119, 0)) | v127(constB119, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB119) | (~v130(constB119, 0)) | v127(constB119, 0))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16172,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB119) | (~v130(constB119, 0)) | v127(constB119, 0))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16173,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB119) | (~v130(constB119, 0)) | v127(constB119, 0)),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16172, 16171])).
% 27.95/18.51 tff(16174,plain,
% 27.95/18.51 ((~v130(constB119, 0)) | v127(constB119, 0)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16173, 612, 15986])).
% 27.95/18.51 tff(16175,plain,
% 27.95/18.51 (v127(constB119, 0)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16174, 16170])).
% 27.95/18.51 tff(16176,plain,
% 27.95/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB119, constB120)) | (~v127(constB119, 0)) | v129(constB120, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB119, constB120)) | (~v127(constB119, 0)) | v129(constB120, 0))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16177,plain,
% 27.95/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB119, constB120)) | (~v127(constB119, 0)) | v129(constB120, 0))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16178,plain,
% 27.95/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB119, constB120)) | (~v127(constB119, 0)) | v129(constB120, 0)),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16177, 16176])).
% 27.95/18.51 tff(16179,plain,
% 27.95/18.51 ((~v127(constB119, 0)) | v129(constB120, 0)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16178, 627, 16001])).
% 27.95/18.51 tff(16180,plain,
% 27.95/18.51 (v129(constB120, 0)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16179, 16175])).
% 27.95/18.51 tff(16181,plain,
% 27.95/18.51 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB120, 0) | (~v129(constB120, 0)) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB120, 0) | (~v129(constB120, 0)) | (~v100(constB120)))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16182,plain,
% 27.95/18.51 ((v90(constB120, 0) | (~v100(constB120)) | (~v129(constB120, 0))) <=> (v90(constB120, 0) | (~v129(constB120, 0)) | (~v100(constB120)))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16183,plain,
% 27.95/18.51 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB120, 0) | (~v100(constB120)) | (~v129(constB120, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB120, 0) | (~v129(constB120, 0)) | (~v100(constB120))))),
% 27.95/18.51 inference(monotonicity,[status(thm)],[16182])).
% 27.95/18.51 tff(16184,plain,
% 27.95/18.51 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB120, 0) | (~v100(constB120)) | (~v129(constB120, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB120, 0) | (~v129(constB120, 0)) | (~v100(constB120)))),
% 27.95/18.51 inference(transitivity,[status(thm)],[16183, 16181])).
% 27.95/18.51 tff(16185,plain,
% 27.95/18.51 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB120, 0) | (~v100(constB120)) | (~v129(constB120, 0)))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16186,plain,
% 27.95/18.51 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB120, 0) | (~v129(constB120, 0)) | (~v100(constB120))),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16185, 16184])).
% 27.95/18.51 tff(16187,plain,
% 27.95/18.51 ((~v129(constB120, 0)) | (~v100(constB120))),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16186, 642, 16061])).
% 27.95/18.51 tff(16188,plain,
% 27.95/18.51 (~v100(constB120)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16187, 16180])).
% 27.95/18.51 tff(16189,plain,
% 27.95/18.51 (~v110(constB120)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16034, 16188])).
% 27.95/18.51 tff(16190,plain,
% 27.95/18.51 (~v108(constB119)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16008, 16189])).
% 27.95/18.51 tff(16191,plain,
% 27.95/18.51 (~v112(constB119)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[15997, 340, 16190])).
% 27.95/18.51 tff(16192,plain,
% 27.95/18.51 (~v113(constB119)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[15990, 16191])).
% 27.95/18.51 tff(16193,plain,
% 27.95/18.51 (~v114(constB119)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[15981, 314, 16192])).
% 27.95/18.51 tff(16194,plain,
% 27.95/18.51 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB119)) | v117(constB119))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB119)) | v117(constB119))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16195,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB119)) | v117(constB119))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16196,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB119)) | v117(constB119)),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16195, 16194])).
% 27.95/18.51 tff(16197,plain,
% 27.95/18.51 (v117(constB119)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16196, 1004, 16166])).
% 27.95/18.51 tff(16198,plain,
% 27.95/18.51 (v116(constB119)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16115, 272, 16197])).
% 27.95/18.51 tff(16199,plain,
% 27.95/18.51 (v115(constB119)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16108, 286, 16198])).
% 27.95/18.51 tff(16200,plain,
% 27.95/18.51 ($false),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16104, 300, 16199, 16193])).
% 27.95/18.51 tff(16201,plain,((~v121(constB119)) | v90(constB120, 0)), inference(lemma,lemma(discharge,[]))).
% 27.95/18.51 tff(16202,plain,
% 27.95/18.51 (~v121(constB119)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16201, 16061])).
% 27.95/18.51 tff(16203,plain,
% 27.95/18.51 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB119, 0) | (~v90(constB119, 1)) | v90(constB119, 2) | v121(constB119))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB119, 0) | (~v90(constB119, 1)) | v90(constB119, 2) | v121(constB119))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16204,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB119, 0) | (~v90(constB119, 1)) | v90(constB119, 2) | v121(constB119))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16205,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB119, 0) | (~v90(constB119, 1)) | v90(constB119, 2) | v121(constB119)),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16204, 16203])).
% 27.95/18.51 tff(16206,plain,
% 27.95/18.51 ((~v90(constB119, 1)) | v90(constB119, 2)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16205, 993, 16142, 16202])).
% 27.95/18.51 tff(16207,plain,
% 27.95/18.51 (~v90(constB119, 1)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16206, 16165])).
% 27.95/18.51 tff(16208,plain,
% 27.95/18.51 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB119, 0) | v90(constB119, 1) | v90(constB119, 2) | v119(constB119))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB119, 0) | v90(constB119, 1) | v90(constB119, 2) | v119(constB119))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16209,plain,
% 27.95/18.51 ((v90(constB119, 0) | v119(constB119) | v90(constB119, 1) | v90(constB119, 2)) <=> (v90(constB119, 0) | v90(constB119, 1) | v90(constB119, 2) | v119(constB119))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16210,plain,
% 27.95/18.51 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB119, 0) | v119(constB119) | v90(constB119, 1) | v90(constB119, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB119, 0) | v90(constB119, 1) | v90(constB119, 2) | v119(constB119)))),
% 27.95/18.51 inference(monotonicity,[status(thm)],[16209])).
% 27.95/18.51 tff(16211,plain,
% 27.95/18.51 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB119, 0) | v119(constB119) | v90(constB119, 1) | v90(constB119, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB119, 0) | v90(constB119, 1) | v90(constB119, 2) | v119(constB119))),
% 27.95/18.51 inference(transitivity,[status(thm)],[16210, 16208])).
% 27.95/18.51 tff(16212,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB119, 0) | v119(constB119) | v90(constB119, 1) | v90(constB119, 2))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16213,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB119, 0) | v90(constB119, 1) | v90(constB119, 2) | v119(constB119)),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16212, 16211])).
% 27.95/18.51 tff(16214,plain,
% 27.95/18.51 (v90(constB119, 1) | v90(constB119, 2) | v119(constB119)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16213, 233, 16142])).
% 27.95/18.51 tff(16215,plain,
% 27.95/18.51 ($false),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16214, 16207, 16165, 16130])).
% 27.95/18.51 tff(16216,plain,(v100(constB120) | v90(constB120, 0)), inference(lemma,lemma(discharge,[]))).
% 27.95/18.51 tff(16217,plain,
% 27.95/18.51 (v100(constB120)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16216, 16061])).
% 27.95/18.51 tff(16218,plain,
% 27.95/18.51 (~v129(constB120, 0)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16187, 16217])).
% 27.95/18.51 tff(16219,plain,
% 27.95/18.51 (~v127(constB119, 0)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16179, 16218])).
% 27.95/18.51 tff(16220,plain,
% 27.95/18.51 (~v130(constB119, 0)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16174, 16219])).
% 27.95/18.51 tff(16221,plain,
% 27.95/18.51 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB119)) | v130(constB119, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB119)) | v130(constB119, 0))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16222,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB119)) | v130(constB119, 0))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16223,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB119)) | v130(constB119, 0)),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16222, 16221])).
% 27.95/18.51 tff(16224,plain,
% 27.95/18.51 (~v123(constB119)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16223, 1753, 16220])).
% 27.95/18.51 tff(16225,assumption,(v120(constB119)), introduced(assumption)).
% 27.95/18.51 tff(16226,plain,
% 27.95/18.51 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB119) | (~v120(constB119)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB119) | (~v120(constB119)))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16227,plain,
% 27.95/18.51 (((~v120(constB119)) | v118(constB119)) <=> (v118(constB119) | (~v120(constB119)))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16228,plain,
% 27.95/18.51 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB119)) | v118(constB119))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB119) | (~v120(constB119))))),
% 27.95/18.51 inference(monotonicity,[status(thm)],[16227])).
% 27.95/18.51 tff(16229,plain,
% 27.95/18.51 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB119)) | v118(constB119))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB119) | (~v120(constB119)))),
% 27.95/18.51 inference(transitivity,[status(thm)],[16228, 16226])).
% 27.95/18.51 tff(16230,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB119)) | v118(constB119))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16231,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB119) | (~v120(constB119))),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16230, 16229])).
% 27.95/18.51 tff(16232,plain,
% 27.95/18.51 (v118(constB119)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16231, 690, 16225])).
% 27.95/18.51 tff(16233,plain,
% 27.95/18.51 (v117(constB119)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16122, 258, 16232])).
% 27.95/18.51 tff(16234,plain,
% 27.95/18.51 (v116(constB119)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16115, 272, 16233])).
% 27.95/18.51 tff(16235,plain,
% 27.95/18.51 (v115(constB119)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16108, 286, 16234])).
% 27.95/18.51 tff(16236,plain,
% 27.95/18.51 (v114(constB119)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16104, 300, 16235])).
% 27.95/18.51 tff(16237,plain,
% 27.95/18.51 (v113(constB119)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[15981, 314, 16236])).
% 27.95/18.51 tff(16238,plain,
% 27.95/18.51 (v112(constB119)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[15990, 16237])).
% 27.95/18.51 tff(16239,plain,
% 27.95/18.51 (v108(constB119)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[15997, 340, 16238])).
% 27.95/18.51 tff(16240,plain,
% 27.95/18.51 (v110(constB120)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16008, 16239])).
% 27.95/18.51 tff(16241,plain,
% 27.95/18.51 (v100(constB120)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16034, 16240])).
% 27.95/18.51 tff(16242,plain,
% 27.95/18.51 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB119)) | (~v130(constB119, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB119)) | (~v130(constB119, 2)))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16243,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB119)) | (~v130(constB119, 2)))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16244,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB119)) | (~v130(constB119, 2))),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16243, 16242])).
% 27.95/18.51 tff(16245,plain,
% 27.95/18.51 (~v130(constB119, 2)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16244, 785, 16225])).
% 27.95/18.51 tff(16246,plain,
% 27.95/18.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB119, 2)) | v26(constB119) | v130(constB119, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB119, 2)) | v26(constB119) | v130(constB119, 2))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16247,plain,
% 27.95/18.51 ((v26(constB119) | v130(constB119, 2) | (~v127(constB119, 2))) <=> ((~v127(constB119, 2)) | v26(constB119) | v130(constB119, 2))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16248,plain,
% 27.95/18.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB119) | v130(constB119, 2) | (~v127(constB119, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB119, 2)) | v26(constB119) | v130(constB119, 2)))),
% 27.95/18.51 inference(monotonicity,[status(thm)],[16247])).
% 27.95/18.51 tff(16249,plain,
% 27.95/18.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB119) | v130(constB119, 2) | (~v127(constB119, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB119, 2)) | v26(constB119) | v130(constB119, 2))),
% 27.95/18.51 inference(transitivity,[status(thm)],[16248, 16246])).
% 27.95/18.51 tff(16250,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB119) | v130(constB119, 2) | (~v127(constB119, 2)))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16251,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB119, 2)) | v26(constB119) | v130(constB119, 2)),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16250, 16249])).
% 27.95/18.51 tff(16252,plain,
% 27.95/18.51 ((~v127(constB119, 2)) | v130(constB119, 2)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16251, 455, 15986])).
% 27.95/18.51 tff(16253,plain,
% 27.95/18.51 (~v127(constB119, 2)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16252, 16245])).
% 27.95/18.51 tff(16254,plain,
% 27.95/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB119, constB120)) | v127(constB119, 2) | (~v129(constB120, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB119, constB120)) | v127(constB119, 2) | (~v129(constB120, 2)))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16255,plain,
% 27.95/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB119, constB120)) | v127(constB119, 2) | (~v129(constB120, 2)))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16256,plain,
% 27.95/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB119, constB120)) | v127(constB119, 2) | (~v129(constB120, 2))),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16255, 16254])).
% 27.95/18.51 tff(16257,plain,
% 27.95/18.51 (v127(constB119, 2) | (~v129(constB120, 2))),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16256, 473, 16001])).
% 27.95/18.51 tff(16258,plain,
% 27.95/18.51 (~v129(constB120, 2)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16257, 16253])).
% 27.95/18.51 tff(16259,plain,
% 27.95/18.51 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB120, 2)) | v129(constB120, 2) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB120, 2)) | v129(constB120, 2) | (~v100(constB120)))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16260,plain,
% 27.95/18.51 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB120, 2)) | v129(constB120, 2) | (~v100(constB120)))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16261,plain,
% 27.95/18.51 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB120, 2)) | v129(constB120, 2) | (~v100(constB120))),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16260, 16259])).
% 27.95/18.51 tff(16262,plain,
% 27.95/18.51 ((~v90(constB120, 2)) | (~v100(constB120))),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16261, 488, 16258])).
% 27.95/18.51 tff(16263,plain,
% 27.95/18.51 (~v90(constB120, 2)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16262, 16241])).
% 27.95/18.51 tff(16264,plain,
% 27.95/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB120, 2) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB120, 2) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 2)))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16265,plain,
% 27.95/18.51 (((~nextState(constB120, constB121)) | v90(constB120, 2) | v100(constB121) | (~v90(constB121, 2))) <=> (v90(constB120, 2) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 2)))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16266,plain,
% 27.95/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB120, constB121)) | v90(constB120, 2) | v100(constB121) | (~v90(constB121, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB120, 2) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 2))))),
% 27.95/18.51 inference(monotonicity,[status(thm)],[16265])).
% 27.95/18.51 tff(16267,plain,
% 27.95/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB120, constB121)) | v90(constB120, 2) | v100(constB121) | (~v90(constB121, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB120, 2) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 2)))),
% 27.95/18.51 inference(transitivity,[status(thm)],[16266, 16264])).
% 27.95/18.51 tff(16268,plain,
% 27.95/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB120, constB121)) | v90(constB120, 2) | v100(constB121) | (~v90(constB121, 2)))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16269,plain,
% 27.95/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB120, 2) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 2))),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16268, 16267])).
% 27.95/18.51 tff(16270,plain,
% 27.95/18.51 (v90(constB120, 2) | v100(constB121) | (~v90(constB121, 2))),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16269, 170, 16067])).
% 27.95/18.51 tff(16271,plain,
% 27.95/18.51 (v90(constB120, 2) | (~v90(constB121, 2))),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16270, 16079])).
% 27.95/18.51 tff(16272,plain,
% 27.95/18.51 (~v90(constB121, 2)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16271, 16263])).
% 27.95/18.51 tff(16273,plain,
% 27.95/18.51 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB119)) | v130(constB119, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB119)) | v130(constB119, 1))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16274,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB119)) | v130(constB119, 1))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16275,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB119)) | v130(constB119, 1)),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16274, 16273])).
% 27.95/18.51 tff(16276,plain,
% 27.95/18.51 (v130(constB119, 1)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16275, 841, 16225])).
% 27.95/18.51 tff(16277,plain,
% 27.95/18.51 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB119) | (~v130(constB119, 1)) | v127(constB119, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB119) | (~v130(constB119, 1)) | v127(constB119, 1))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16278,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB119) | (~v130(constB119, 1)) | v127(constB119, 1))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16279,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB119) | (~v130(constB119, 1)) | v127(constB119, 1)),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16278, 16277])).
% 27.95/18.51 tff(16280,plain,
% 27.95/18.51 ((~v130(constB119, 1)) | v127(constB119, 1)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16279, 855, 15986])).
% 27.95/18.51 tff(16281,plain,
% 27.95/18.51 (v127(constB119, 1)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16280, 16276])).
% 27.95/18.51 tff(16282,plain,
% 27.95/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB119, constB120)) | (~v127(constB119, 1)) | v129(constB120, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB119, constB120)) | (~v127(constB119, 1)) | v129(constB120, 1))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16283,plain,
% 27.95/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB119, constB120)) | (~v127(constB119, 1)) | v129(constB120, 1))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16284,plain,
% 27.95/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB119, constB120)) | (~v127(constB119, 1)) | v129(constB120, 1)),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16283, 16282])).
% 27.95/18.51 tff(16285,plain,
% 27.95/18.51 ((~v127(constB119, 1)) | v129(constB120, 1)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16284, 870, 16001])).
% 27.95/18.51 tff(16286,plain,
% 27.95/18.51 (v129(constB120, 1)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16285, 16281])).
% 27.95/18.51 tff(16287,plain,
% 27.95/18.51 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB120, 1) | (~v129(constB120, 1)) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB120, 1) | (~v129(constB120, 1)) | (~v100(constB120)))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16288,plain,
% 27.95/18.51 ((v90(constB120, 1) | (~v100(constB120)) | (~v129(constB120, 1))) <=> (v90(constB120, 1) | (~v129(constB120, 1)) | (~v100(constB120)))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16289,plain,
% 27.95/18.51 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB120, 1) | (~v100(constB120)) | (~v129(constB120, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB120, 1) | (~v129(constB120, 1)) | (~v100(constB120))))),
% 27.95/18.51 inference(monotonicity,[status(thm)],[16288])).
% 27.95/18.51 tff(16290,plain,
% 27.95/18.51 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB120, 1) | (~v100(constB120)) | (~v129(constB120, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB120, 1) | (~v129(constB120, 1)) | (~v100(constB120)))),
% 27.95/18.51 inference(transitivity,[status(thm)],[16289, 16287])).
% 27.95/18.51 tff(16291,plain,
% 27.95/18.51 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB120, 1) | (~v100(constB120)) | (~v129(constB120, 1)))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16292,plain,
% 27.95/18.51 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB120, 1) | (~v129(constB120, 1)) | (~v100(constB120))),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16291, 16290])).
% 27.95/18.51 tff(16293,plain,
% 27.95/18.51 (v90(constB120, 1) | (~v100(constB120))),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16292, 885, 16286])).
% 27.95/18.51 tff(16294,plain,
% 27.95/18.51 (v90(constB120, 1)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16293, 16241])).
% 27.95/18.51 tff(16295,plain,
% 27.95/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB120, 1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB120, 1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 1))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16296,plain,
% 27.95/18.51 (((~nextState(constB120, constB121)) | (~v90(constB120, 1)) | v100(constB121) | v90(constB121, 1)) <=> ((~v90(constB120, 1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 1))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16297,plain,
% 27.95/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, 1)) | v100(constB121) | v90(constB121, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB120, 1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 1)))),
% 27.95/18.51 inference(monotonicity,[status(thm)],[16296])).
% 27.95/18.51 tff(16298,plain,
% 27.95/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, 1)) | v100(constB121) | v90(constB121, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB120, 1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 1))),
% 27.95/18.51 inference(transitivity,[status(thm)],[16297, 16295])).
% 27.95/18.51 tff(16299,plain,
% 27.95/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, 1)) | v100(constB121) | v90(constB121, 1))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16300,plain,
% 27.95/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB120, 1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 1)),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16299, 16298])).
% 27.95/18.51 tff(16301,plain,
% 27.95/18.51 ((~v90(constB120, 1)) | v100(constB121) | v90(constB121, 1)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16300, 903, 16067])).
% 27.95/18.51 tff(16302,plain,
% 27.95/18.51 ((~v90(constB120, 1)) | v90(constB121, 1)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16301, 16079])).
% 27.95/18.51 tff(16303,plain,
% 27.95/18.51 (v90(constB121, 1)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16302, 16294])).
% 27.95/18.51 tff(16304,plain,
% 27.95/18.51 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB119)) | (~v130(constB119, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB119)) | (~v130(constB119, 0)))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16305,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB119)) | (~v130(constB119, 0)))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16306,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB119)) | (~v130(constB119, 0))),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16305, 16304])).
% 27.95/18.51 tff(16307,plain,
% 27.95/18.51 (~v130(constB119, 0)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16306, 919, 16225])).
% 27.95/18.51 tff(16308,plain,
% 27.95/18.51 (~v127(constB119, 0)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16046, 16307])).
% 27.95/18.51 tff(16309,plain,
% 27.95/18.51 (~v129(constB120, 0)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16051, 16308])).
% 27.95/18.51 tff(16310,plain,
% 27.95/18.51 ((~v90(constB120, 0)) | (~v100(constB120))),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16058, 966, 16309])).
% 27.95/18.51 tff(16311,plain,
% 27.95/18.51 (~v90(constB120, 0)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16310, 16241])).
% 27.95/18.51 tff(16312,plain,
% 27.95/18.51 (~v90(constB121, 0)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16087, 16311])).
% 27.95/18.51 tff(16313,plain,
% 27.95/18.51 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB121, 0) | (~v90(constB121, 1)) | v90(constB121, 2) | v121(constB121))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB121, 0) | (~v90(constB121, 1)) | v90(constB121, 2) | v121(constB121))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16314,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB121, 0) | (~v90(constB121, 1)) | v90(constB121, 2) | v121(constB121))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16315,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB121, 0) | (~v90(constB121, 1)) | v90(constB121, 2) | v121(constB121)),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16314, 16313])).
% 27.95/18.51 tff(16316,plain,
% 27.95/18.51 (v121(constB121)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16315, 993, 16312, 16303, 16272])).
% 27.95/18.51 tff(16317,plain,
% 27.95/18.51 (nextState(constB121, constB122) <=> nextState(constB121, constB122)),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16318,axiom,(nextState(constB121, constB122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_121_1')).
% 27.95/18.51 tff(16319,plain,
% 27.95/18.51 (nextState(constB121, constB122)),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16318, 16317])).
% 27.95/18.51 tff(16320,plain,
% 27.95/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB121, 2) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB121, 2) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, 2)))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16321,plain,
% 27.95/18.51 (((~nextState(constB121, constB122)) | v90(constB121, 2) | v100(constB122) | (~v90(constB122, 2))) <=> (v90(constB121, 2) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, 2)))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16322,plain,
% 27.95/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB121, constB122)) | v90(constB121, 2) | v100(constB122) | (~v90(constB122, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB121, 2) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, 2))))),
% 27.95/18.51 inference(monotonicity,[status(thm)],[16321])).
% 27.95/18.51 tff(16323,plain,
% 27.95/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB121, constB122)) | v90(constB121, 2) | v100(constB122) | (~v90(constB122, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB121, 2) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, 2)))),
% 27.95/18.51 inference(transitivity,[status(thm)],[16322, 16320])).
% 27.95/18.51 tff(16324,plain,
% 27.95/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB121, constB122)) | v90(constB121, 2) | v100(constB122) | (~v90(constB122, 2)))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16325,plain,
% 27.95/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB121, 2) | (~nextState(constB121, constB122)) | v100(constB122) | (~v90(constB122, 2))),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16324, 16323])).
% 27.95/18.51 tff(16326,plain,
% 27.95/18.51 (v90(constB121, 2) | v100(constB122) | (~v90(constB122, 2))),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16325, 170, 16319])).
% 27.95/18.51 tff(16327,plain,
% 27.95/18.51 (v100(constB122)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16326, 16272, 15967])).
% 27.95/18.51 tff(16328,plain,
% 27.95/18.51 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB122, 2)) | v129(constB122, 2) | (~v100(constB122)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB122, 2)) | v129(constB122, 2) | (~v100(constB122)))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16329,plain,
% 27.95/18.51 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB122, 2)) | v129(constB122, 2) | (~v100(constB122)))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16330,plain,
% 27.95/18.51 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB122, 2)) | v129(constB122, 2) | (~v100(constB122))),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16329, 16328])).
% 27.95/18.51 tff(16331,plain,
% 27.95/18.51 (v129(constB122, 2) | (~v100(constB122))),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16330, 488, 15967])).
% 27.95/18.51 tff(16332,plain,
% 27.95/18.51 (v129(constB122, 2)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16331, 16327])).
% 27.95/18.51 tff(16333,plain,
% 27.95/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB121, constB122)) | v127(constB121, 2) | (~v129(constB122, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB121, constB122)) | v127(constB121, 2) | (~v129(constB122, 2)))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16334,plain,
% 27.95/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB121, constB122)) | v127(constB121, 2) | (~v129(constB122, 2)))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16335,plain,
% 27.95/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB121, constB122)) | v127(constB121, 2) | (~v129(constB122, 2))),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16334, 16333])).
% 27.95/18.51 tff(16336,plain,
% 27.95/18.51 (v127(constB121, 2) | (~v129(constB122, 2))),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16335, 473, 16319])).
% 27.95/18.51 tff(16337,plain,
% 27.95/18.51 (v127(constB121, 2)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16336, 16332])).
% 27.95/18.51 tff(16338,assumption,(v26(constB121)), introduced(assumption)).
% 27.95/18.51 tff(16339,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB121))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16340,plain,
% 27.95/18.51 ($false),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16339, 95, 16338])).
% 27.95/18.51 tff(16341,plain,(~v26(constB121)), inference(lemma,lemma(discharge,[]))).
% 27.95/18.51 tff(16342,plain,
% 27.95/18.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB121, 2)) | v26(constB121) | v130(constB121, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB121, 2)) | v26(constB121) | v130(constB121, 2))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16343,plain,
% 27.95/18.51 ((v26(constB121) | v130(constB121, 2) | (~v127(constB121, 2))) <=> ((~v127(constB121, 2)) | v26(constB121) | v130(constB121, 2))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16344,plain,
% 27.95/18.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB121) | v130(constB121, 2) | (~v127(constB121, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB121, 2)) | v26(constB121) | v130(constB121, 2)))),
% 27.95/18.51 inference(monotonicity,[status(thm)],[16343])).
% 27.95/18.51 tff(16345,plain,
% 27.95/18.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB121) | v130(constB121, 2) | (~v127(constB121, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB121, 2)) | v26(constB121) | v130(constB121, 2))),
% 27.95/18.51 inference(transitivity,[status(thm)],[16344, 16342])).
% 27.95/18.51 tff(16346,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB121) | v130(constB121, 2) | (~v127(constB121, 2)))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16347,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB121, 2)) | v26(constB121) | v130(constB121, 2)),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16346, 16345])).
% 27.95/18.51 tff(16348,plain,
% 27.95/18.51 ((~v127(constB121, 2)) | v130(constB121, 2)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16347, 455, 16341])).
% 27.95/18.51 tff(16349,plain,
% 27.95/18.51 (v130(constB121, 2)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16348, 16337])).
% 27.95/18.51 tff(16350,plain,
% 27.95/18.51 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB121)) | (~v130(constB121, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB121)) | (~v130(constB121, 2)))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16351,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB121)) | (~v130(constB121, 2)))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16352,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB121)) | (~v130(constB121, 2))),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16351, 16350])).
% 27.95/18.51 tff(16353,plain,
% 27.95/18.51 ($false),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16352, 1155, 16349, 16316])).
% 27.95/18.51 tff(16354,plain,((~v120(constB119)) | (~v90(constB122, 2))), inference(lemma,lemma(discharge,[]))).
% 27.95/18.51 tff(16355,plain,
% 27.95/18.51 (~v120(constB119)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16354, 15967])).
% 27.95/18.51 tff(16356,plain,
% 27.95/18.51 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB119)) | v130(constB119, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB119)) | v130(constB119, 0))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16357,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB119)) | v130(constB119, 0))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16358,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB119)) | v130(constB119, 0)),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16357, 16356])).
% 27.95/18.51 tff(16359,plain,
% 27.95/18.51 (~v119(constB119)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16358, 598, 16220])).
% 27.95/18.51 tff(16360,assumption,(~v123(constB121)), introduced(assumption)).
% 27.95/18.51 tff(16361,assumption,(v122(constB119)), introduced(assumption)).
% 27.95/18.51 tff(16362,plain,
% 27.95/18.51 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB119)) | v116(constB119))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB119)) | v116(constB119))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16363,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB119)) | v116(constB119))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16364,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB119)) | v116(constB119)),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16363, 16362])).
% 27.95/18.51 tff(16365,plain,
% 27.95/18.51 (v116(constB119)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16364, 1272, 16361])).
% 27.95/18.51 tff(16366,plain,
% 27.95/18.51 (v115(constB119)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16108, 286, 16365])).
% 27.95/18.51 tff(16367,plain,
% 27.95/18.51 (v114(constB119)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16104, 300, 16366])).
% 27.95/18.51 tff(16368,plain,
% 27.95/18.51 (v113(constB119)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[15981, 314, 16367])).
% 27.95/18.51 tff(16369,plain,
% 27.95/18.51 (v112(constB119)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[15990, 16368])).
% 27.95/18.51 tff(16370,plain,
% 27.95/18.51 (v108(constB119)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[15997, 340, 16369])).
% 27.95/18.51 tff(16371,plain,
% 27.95/18.51 (v110(constB120)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16008, 16370])).
% 27.95/18.51 tff(16372,plain,
% 27.95/18.51 (v100(constB120)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16034, 16371])).
% 27.95/18.51 tff(16373,plain,
% 27.95/18.51 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB119)) | v130(constB119, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB119)) | v130(constB119, 2))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16374,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB119)) | v130(constB119, 2))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16375,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB119)) | v130(constB119, 2)),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16374, 16373])).
% 27.95/18.51 tff(16376,plain,
% 27.95/18.51 (v130(constB119, 2)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16375, 1484, 16361])).
% 27.95/18.51 tff(16377,plain,
% 27.95/18.51 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB119) | (~v130(constB119, 2)) | v127(constB119, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB119) | (~v130(constB119, 2)) | v127(constB119, 2))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16378,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB119) | (~v130(constB119, 2)) | v127(constB119, 2))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16379,plain,
% 27.95/18.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB119) | (~v130(constB119, 2)) | v127(constB119, 2)),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16378, 16377])).
% 27.95/18.51 tff(16380,plain,
% 27.95/18.51 ((~v130(constB119, 2)) | v127(constB119, 2)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16379, 1498, 15986])).
% 27.95/18.51 tff(16381,plain,
% 27.95/18.51 (v127(constB119, 2)),
% 27.95/18.51 inference(unit_resolution,[status(thm)],[16380, 16376])).
% 27.95/18.51 tff(16382,plain,
% 27.95/18.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB119, constB120)) | (~v127(constB119, 2)) | v129(constB120, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB119, constB120)) | (~v127(constB119, 2)) | v129(constB120, 2))),
% 27.95/18.51 inference(rewrite,[status(thm)],[])).
% 27.95/18.51 tff(16383,plain,
% 27.95/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB119, constB120)) | (~v127(constB119, 2)) | v129(constB120, 2))),
% 27.95/18.51 inference(quant_inst,[status(thm)],[])).
% 27.95/18.51 tff(16384,plain,
% 27.95/18.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB119, constB120)) | (~v127(constB119, 2)) | v129(constB120, 2)),
% 27.95/18.51 inference(modus_ponens,[status(thm)],[16383, 16382])).
% 27.95/18.52 tff(16385,plain,
% 27.95/18.52 ((~v127(constB119, 2)) | v129(constB120, 2)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16384, 1513, 16001])).
% 27.95/18.52 tff(16386,plain,
% 27.95/18.52 (v129(constB120, 2)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16385, 16381])).
% 27.95/18.52 tff(16387,plain,
% 27.95/18.52 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB120, 2) | (~v129(constB120, 2)) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB120, 2) | (~v129(constB120, 2)) | (~v100(constB120)))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16388,plain,
% 27.95/18.52 ((v90(constB120, 2) | (~v100(constB120)) | (~v129(constB120, 2))) <=> (v90(constB120, 2) | (~v129(constB120, 2)) | (~v100(constB120)))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16389,plain,
% 27.95/18.52 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB120, 2) | (~v100(constB120)) | (~v129(constB120, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB120, 2) | (~v129(constB120, 2)) | (~v100(constB120))))),
% 27.95/18.52 inference(monotonicity,[status(thm)],[16388])).
% 27.95/18.52 tff(16390,plain,
% 27.95/18.52 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB120, 2) | (~v100(constB120)) | (~v129(constB120, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB120, 2) | (~v129(constB120, 2)) | (~v100(constB120)))),
% 27.95/18.52 inference(transitivity,[status(thm)],[16389, 16387])).
% 27.95/18.52 tff(16391,plain,
% 27.95/18.52 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB120, 2) | (~v100(constB120)) | (~v129(constB120, 2)))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16392,plain,
% 27.95/18.52 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB120, 2) | (~v129(constB120, 2)) | (~v100(constB120))),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16391, 16390])).
% 27.95/18.52 tff(16393,plain,
% 27.95/18.52 (v90(constB120, 2) | (~v100(constB120))),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16392, 1528, 16386])).
% 27.95/18.52 tff(16394,plain,
% 27.95/18.52 (v90(constB120, 2)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16393, 16372])).
% 27.95/18.52 tff(16395,plain,
% 27.95/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB120, 2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB120, 2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 2))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16396,plain,
% 27.95/18.52 (((~nextState(constB120, constB121)) | (~v90(constB120, 2)) | v100(constB121) | v90(constB121, 2)) <=> ((~v90(constB120, 2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 2))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16397,plain,
% 27.95/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB120, constB121)) | (~v90(constB120, 2)) | v100(constB121) | v90(constB121, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB120, 2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 2)))),
% 27.95/18.52 inference(monotonicity,[status(thm)],[16396])).
% 27.95/18.52 tff(16398,plain,
% 27.95/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB120, constB121)) | (~v90(constB120, 2)) | v100(constB121) | v90(constB121, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB120, 2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 2))),
% 27.95/18.52 inference(transitivity,[status(thm)],[16397, 16395])).
% 27.95/18.52 tff(16399,plain,
% 27.95/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB120, constB121)) | (~v90(constB120, 2)) | v100(constB121) | v90(constB121, 2))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16400,plain,
% 27.95/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB120, 2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 2)),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16399, 16398])).
% 27.95/18.52 tff(16401,plain,
% 27.95/18.52 ((~v90(constB120, 2)) | v100(constB121) | v90(constB121, 2)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16400, 1546, 16067])).
% 27.95/18.52 tff(16402,plain,
% 27.95/18.52 ((~v90(constB120, 2)) | v90(constB121, 2)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16401, 16079])).
% 27.95/18.52 tff(16403,plain,
% 27.95/18.52 (v90(constB121, 2)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16402, 16394])).
% 27.95/18.52 tff(16404,plain,
% 27.95/18.52 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB119)) | (~v130(constB119, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB119)) | (~v130(constB119, 0)))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16405,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB119)) | (~v130(constB119, 0)))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16406,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB119)) | (~v130(constB119, 0))),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16405, 16404])).
% 27.95/18.52 tff(16407,plain,
% 27.95/18.52 (~v130(constB119, 0)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16406, 1351, 16361])).
% 27.95/18.52 tff(16408,plain,
% 27.95/18.52 (~v127(constB119, 0)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16046, 16407])).
% 27.95/18.52 tff(16409,plain,
% 27.95/18.52 (~v129(constB120, 0)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16051, 16408])).
% 27.95/18.52 tff(16410,plain,
% 27.95/18.52 ((~v90(constB120, 0)) | (~v100(constB120))),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16058, 966, 16409])).
% 27.95/18.52 tff(16411,plain,
% 27.95/18.52 (~v90(constB120, 0)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16410, 16372])).
% 27.95/18.52 tff(16412,plain,
% 27.95/18.52 (~v90(constB121, 0)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16087, 16411])).
% 27.95/18.52 tff(16413,plain,
% 27.95/18.52 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB119)) | (~v130(constB119, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB119)) | (~v130(constB119, 1)))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16414,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB119)) | (~v130(constB119, 1)))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16415,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB119)) | (~v130(constB119, 1))),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16414, 16413])).
% 27.95/18.52 tff(16416,plain,
% 27.95/18.52 (~v130(constB119, 1)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16415, 1424, 16361])).
% 27.95/18.52 tff(16417,plain,
% 27.95/18.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB119, 1)) | v26(constB119) | v130(constB119, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB119, 1)) | v26(constB119) | v130(constB119, 1))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16418,plain,
% 27.95/18.52 ((v26(constB119) | v130(constB119, 1) | (~v127(constB119, 1))) <=> ((~v127(constB119, 1)) | v26(constB119) | v130(constB119, 1))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16419,plain,
% 27.95/18.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB119) | v130(constB119, 1) | (~v127(constB119, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB119, 1)) | v26(constB119) | v130(constB119, 1)))),
% 27.95/18.52 inference(monotonicity,[status(thm)],[16418])).
% 27.95/18.52 tff(16420,plain,
% 27.95/18.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB119) | v130(constB119, 1) | (~v127(constB119, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB119, 1)) | v26(constB119) | v130(constB119, 1))),
% 27.95/18.52 inference(transitivity,[status(thm)],[16419, 16417])).
% 27.95/18.52 tff(16421,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB119) | v130(constB119, 1) | (~v127(constB119, 1)))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16422,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB119, 1)) | v26(constB119) | v130(constB119, 1)),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16421, 16420])).
% 27.95/18.52 tff(16423,plain,
% 27.95/18.52 ((~v127(constB119, 1)) | v130(constB119, 1)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16422, 541, 15986])).
% 27.95/18.52 tff(16424,plain,
% 27.95/18.52 (~v127(constB119, 1)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16423, 16416])).
% 27.95/18.52 tff(16425,plain,
% 27.95/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB119, constB120)) | v127(constB119, 1) | (~v129(constB120, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB119, constB120)) | v127(constB119, 1) | (~v129(constB120, 1)))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16426,plain,
% 27.95/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB119, constB120)) | v127(constB119, 1) | (~v129(constB120, 1)))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16427,plain,
% 27.95/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB119, constB120)) | v127(constB119, 1) | (~v129(constB120, 1))),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16426, 16425])).
% 27.95/18.52 tff(16428,plain,
% 27.95/18.52 (v127(constB119, 1) | (~v129(constB120, 1))),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16427, 559, 16001])).
% 27.95/18.52 tff(16429,plain,
% 27.95/18.52 (~v129(constB120, 1)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16428, 16424])).
% 27.95/18.52 tff(16430,plain,
% 27.95/18.52 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB120, 1)) | v129(constB120, 1) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB120, 1)) | v129(constB120, 1) | (~v100(constB120)))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16431,plain,
% 27.95/18.52 (((~v90(constB120, 1)) | (~v100(constB120)) | v129(constB120, 1)) <=> ((~v90(constB120, 1)) | v129(constB120, 1) | (~v100(constB120)))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16432,plain,
% 27.95/18.52 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB120, 1)) | (~v100(constB120)) | v129(constB120, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB120, 1)) | v129(constB120, 1) | (~v100(constB120))))),
% 27.95/18.52 inference(monotonicity,[status(thm)],[16431])).
% 27.95/18.52 tff(16433,plain,
% 27.95/18.52 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB120, 1)) | (~v100(constB120)) | v129(constB120, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB120, 1)) | v129(constB120, 1) | (~v100(constB120)))),
% 27.95/18.52 inference(transitivity,[status(thm)],[16432, 16430])).
% 27.95/18.52 tff(16434,plain,
% 27.95/18.52 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB120, 1)) | (~v100(constB120)) | v129(constB120, 1))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16435,plain,
% 27.95/18.52 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB120, 1)) | v129(constB120, 1) | (~v100(constB120))),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16434, 16433])).
% 27.95/18.52 tff(16436,plain,
% 27.95/18.52 ((~v90(constB120, 1)) | (~v100(constB120))),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16435, 574, 16429])).
% 27.95/18.52 tff(16437,plain,
% 27.95/18.52 (~v90(constB120, 1)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16436, 16372])).
% 27.95/18.52 tff(16438,plain,
% 27.95/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB120, 1) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB120, 1) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 1)))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16439,plain,
% 27.95/18.52 (((~nextState(constB120, constB121)) | v90(constB120, 1) | v100(constB121) | (~v90(constB121, 1))) <=> (v90(constB120, 1) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 1)))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16440,plain,
% 27.95/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB120, constB121)) | v90(constB120, 1) | v100(constB121) | (~v90(constB121, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB120, 1) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 1))))),
% 27.95/18.52 inference(monotonicity,[status(thm)],[16439])).
% 27.95/18.52 tff(16441,plain,
% 27.95/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB120, constB121)) | v90(constB120, 1) | v100(constB121) | (~v90(constB121, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB120, 1) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 1)))),
% 27.95/18.52 inference(transitivity,[status(thm)],[16440, 16438])).
% 27.95/18.52 tff(16442,plain,
% 27.95/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB120, constB121)) | v90(constB120, 1) | v100(constB121) | (~v90(constB121, 1)))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16443,plain,
% 27.95/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB120, 1) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 1))),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16442, 16441])).
% 27.95/18.52 tff(16444,plain,
% 27.95/18.52 (v90(constB120, 1) | v100(constB121) | (~v90(constB121, 1))),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16443, 191, 16067])).
% 27.95/18.52 tff(16445,plain,
% 27.95/18.52 (v90(constB120, 1) | (~v90(constB121, 1))),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16444, 16079])).
% 27.95/18.52 tff(16446,plain,
% 27.95/18.52 (~v90(constB121, 1)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16445, 16437])).
% 27.95/18.52 tff(16447,plain,
% 27.95/18.52 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB121, 0) | v90(constB121, 1) | (~v90(constB121, 2)) | v123(constB121))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB121, 0) | v90(constB121, 1) | (~v90(constB121, 2)) | v123(constB121))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16448,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB121, 0) | v90(constB121, 1) | (~v90(constB121, 2)) | v123(constB121))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16449,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB121, 0) | v90(constB121, 1) | (~v90(constB121, 2)) | v123(constB121)),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16448, 16447])).
% 27.95/18.52 tff(16450,plain,
% 27.95/18.52 (v90(constB121, 0) | v90(constB121, 1) | (~v90(constB121, 2))),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16449, 1565, 16360])).
% 27.95/18.52 tff(16451,plain,
% 27.95/18.52 ($false),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16450, 16446, 16412, 16403])).
% 27.95/18.52 tff(16452,plain,((~v122(constB119)) | v123(constB121)), inference(lemma,lemma(discharge,[]))).
% 27.95/18.52 tff(16453,plain,
% 27.95/18.52 (~v122(constB119)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16452, 16360])).
% 27.95/18.52 tff(16454,plain,
% 27.95/18.52 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB119) | v120(constB119) | v121(constB119) | v122(constB119) | v123(constB119) | v124(constB119) | v130(constB119, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB119) | v120(constB119) | v121(constB119) | v122(constB119) | v123(constB119) | v124(constB119) | v130(constB119, 0))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16455,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB119) | v120(constB119) | v121(constB119) | v122(constB119) | v123(constB119) | v124(constB119) | v130(constB119, 0))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16456,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB119) | v120(constB119) | v121(constB119) | v122(constB119) | v123(constB119) | v124(constB119) | v130(constB119, 0)),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16455, 16454])).
% 27.95/18.52 tff(16457,plain,
% 27.95/18.52 (v119(constB119) | v120(constB119) | v121(constB119) | v123(constB119) | v124(constB119) | v130(constB119, 0)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16456, 2258, 16453])).
% 27.95/18.52 tff(16458,plain,
% 27.95/18.52 (v124(constB119)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16457, 16359, 16355, 16202, 16220, 16224])).
% 27.95/18.52 tff(16459,plain,
% 27.95/18.52 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB119)) | v130(constB119, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB119)) | v130(constB119, 2))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16460,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB119)) | v130(constB119, 2))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16461,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB119)) | v130(constB119, 2)),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16460, 16459])).
% 27.95/18.52 tff(16462,plain,
% 27.95/18.52 (v130(constB119, 2)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16461, 1873, 16458])).
% 27.95/18.52 tff(16463,plain,
% 27.95/18.52 (v127(constB119, 2)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16380, 16462])).
% 27.95/18.52 tff(16464,plain,
% 27.95/18.52 (v129(constB120, 2)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16385, 16463])).
% 27.95/18.52 tff(16465,plain,
% 27.95/18.52 (v90(constB120, 2) | (~v129(constB120, 2))),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16392, 1528, 16217])).
% 27.95/18.52 tff(16466,plain,
% 27.95/18.52 (v90(constB120, 2)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16465, 16464])).
% 27.95/18.52 tff(16467,plain,
% 27.95/18.52 (v90(constB121, 2)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16402, 16466])).
% 27.95/18.52 tff(16468,plain,
% 27.95/18.52 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB121)) | (~v90(constB121, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB121)) | (~v90(constB121, 2)))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16469,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB121)) | (~v90(constB121, 2)))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16470,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB121)) | (~v90(constB121, 2))),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16469, 16468])).
% 27.95/18.52 tff(16471,plain,
% 27.95/18.52 (~v121(constB121)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16470, 2130, 16467])).
% 27.95/18.52 tff(16472,plain,
% 27.95/18.52 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB121)) | v90(constB121, 0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB121)) | v90(constB121, 0))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16473,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB121)) | v90(constB121, 0))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16474,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB121)) | v90(constB121, 0)),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16473, 16472])).
% 27.95/18.52 tff(16475,plain,
% 27.95/18.52 (~v120(constB121)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16474, 5047, 16088])).
% 27.95/18.52 tff(16476,plain,
% 27.95/18.52 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB121)) | v90(constB121, 0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB121)) | v90(constB121, 0))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16477,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB121)) | v90(constB121, 0))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16478,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB121)) | v90(constB121, 0)),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16477, 16476])).
% 27.95/18.52 tff(16479,plain,
% 27.95/18.52 (~v122(constB121)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16478, 3757, 16088])).
% 27.95/18.52 tff(16480,plain,
% 27.95/18.52 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB119)) | v130(constB119, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB119)) | v130(constB119, 1))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16481,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB119)) | v130(constB119, 1))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16482,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB119)) | v130(constB119, 1)),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16481, 16480])).
% 27.95/18.52 tff(16483,plain,
% 27.95/18.52 (v130(constB119, 1)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16482, 1929, 16458])).
% 27.95/18.52 tff(16484,plain,
% 27.95/18.52 (v127(constB119, 1)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16280, 16483])).
% 27.95/18.52 tff(16485,plain,
% 27.95/18.52 (v129(constB120, 1)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16285, 16484])).
% 27.95/18.52 tff(16486,plain,
% 27.95/18.52 (v90(constB120, 1) | (~v129(constB120, 1))),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16292, 885, 16217])).
% 27.95/18.52 tff(16487,plain,
% 27.95/18.52 (v90(constB120, 1)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16486, 16485])).
% 27.95/18.52 tff(16488,plain,
% 27.95/18.52 (v90(constB121, 1)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16302, 16487])).
% 27.95/18.52 tff(16489,plain,
% 27.95/18.52 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB121)) | (~v90(constB121, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB121)) | (~v90(constB121, 1)))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16490,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB121)) | (~v90(constB121, 1)))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16491,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB121)) | (~v90(constB121, 1))),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16490, 16489])).
% 27.95/18.52 tff(16492,plain,
% 27.95/18.52 (~v119(constB121)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16491, 2086, 16488])).
% 27.95/18.52 tff(16493,plain,
% 27.95/18.52 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 2)))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16494,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 2)))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16495,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 2))),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16494, 16493])).
% 27.95/18.52 tff(16496,plain,
% 27.95/18.52 (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v124(constB121) | (~v130(constB121, 2))),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16495, 2155, 16360])).
% 27.95/18.52 tff(16497,plain,
% 27.95/18.52 (~v130(constB121, 2)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16496, 16492, 16479, 16475, 16471, 16092])).
% 27.95/18.52 tff(16498,plain,
% 27.95/18.52 (~v127(constB121, 2)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16348, 16497])).
% 27.95/18.52 tff(16499,plain,
% 27.95/18.52 (~v129(constB122, 2)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16336, 16498])).
% 27.95/18.52 tff(16500,plain,
% 27.95/18.52 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB121, 0) | (~v90(constB121, 1)) | (~v90(constB121, 2)) | v125(constB121))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB121, 0) | (~v90(constB121, 1)) | (~v90(constB121, 2)) | v125(constB121))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16501,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB121, 0) | (~v90(constB121, 1)) | (~v90(constB121, 2)) | v125(constB121))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16502,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB121, 0) | (~v90(constB121, 1)) | (~v90(constB121, 2)) | v125(constB121)),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16501, 16500])).
% 27.95/18.52 tff(16503,plain,
% 27.95/18.52 ((~v90(constB121, 1)) | (~v90(constB121, 2)) | v125(constB121)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16502, 2011, 16088])).
% 27.95/18.52 tff(16504,plain,
% 27.95/18.52 (v125(constB121)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16503, 16488, 16467])).
% 27.95/18.52 tff(16505,plain,
% 27.95/18.52 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB121)) | v113(constB121))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB121)) | v113(constB121))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16506,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB121)) | v113(constB121))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16507,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB121)) | v113(constB121)),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16506, 16505])).
% 27.95/18.52 tff(16508,plain,
% 27.95/18.52 (v113(constB121)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16507, 2022, 16504])).
% 27.95/18.52 tff(16509,assumption,(~v108(constB121)), introduced(assumption)).
% 27.95/18.52 tff(16510,plain,
% 27.95/18.52 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB121) | (~v112(constB121)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB121) | (~v112(constB121)))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16511,plain,
% 27.95/18.52 (((~v112(constB121)) | v108(constB121)) <=> (v108(constB121) | (~v112(constB121)))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16512,plain,
% 27.95/18.52 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB121)) | v108(constB121))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB121) | (~v112(constB121))))),
% 27.95/18.52 inference(monotonicity,[status(thm)],[16511])).
% 27.95/18.52 tff(16513,plain,
% 27.95/18.52 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB121)) | v108(constB121))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB121) | (~v112(constB121)))),
% 27.95/18.52 inference(transitivity,[status(thm)],[16512, 16510])).
% 27.95/18.52 tff(16514,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB121)) | v108(constB121))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16515,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB121) | (~v112(constB121))),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16514, 16513])).
% 27.95/18.52 tff(16516,plain,
% 27.95/18.52 (~v112(constB121)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16515, 340, 16509])).
% 27.95/18.52 tff(16517,plain,
% 27.95/18.52 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB121) | (~v26(constB121)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB121) | (~v26(constB121)))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16518,plain,
% 27.95/18.52 (((~v26(constB121)) | v108(constB121)) <=> (v108(constB121) | (~v26(constB121)))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16519,plain,
% 27.95/18.52 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB121)) | v108(constB121))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB121) | (~v26(constB121))))),
% 27.95/18.52 inference(monotonicity,[status(thm)],[16518])).
% 27.95/18.52 tff(16520,plain,
% 27.95/18.52 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB121)) | v108(constB121))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB121) | (~v26(constB121)))),
% 27.95/18.52 inference(transitivity,[status(thm)],[16519, 16517])).
% 27.95/18.52 tff(16521,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB121)) | v108(constB121))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16522,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB121) | (~v26(constB121))),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16521, 16520])).
% 27.95/18.52 tff(16523,plain,
% 27.95/18.52 (~v26(constB121)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16522, 6750, 16509])).
% 27.95/18.52 tff(16524,assumption,(v113(constB121)), introduced(assumption)).
% 27.95/18.52 tff(16525,plain,
% 27.95/18.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | v112(constB121) | (~v113(constB121)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | v112(constB121) | (~v113(constB121)))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16526,plain,
% 27.95/18.52 ((v26(constB121) | (~v113(constB121)) | v112(constB121)) <=> (v26(constB121) | v112(constB121) | (~v113(constB121)))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16527,plain,
% 27.95/18.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | v112(constB121) | (~v113(constB121))))),
% 27.95/18.52 inference(monotonicity,[status(thm)],[16526])).
% 27.95/18.52 tff(16528,plain,
% 27.95/18.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | v112(constB121) | (~v113(constB121)))),
% 27.95/18.52 inference(transitivity,[status(thm)],[16527, 16525])).
% 27.95/18.52 tff(16529,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16530,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | v112(constB121) | (~v113(constB121))),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16529, 16528])).
% 27.95/18.52 tff(16531,plain,
% 27.95/18.52 (v26(constB121) | v112(constB121)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16530, 328, 16524])).
% 27.95/18.52 tff(16532,plain,
% 27.95/18.52 ($false),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16531, 16523, 16516])).
% 27.95/18.52 tff(16533,plain,(v108(constB121) | (~v113(constB121))), inference(lemma,lemma(discharge,[]))).
% 27.95/18.52 tff(16534,plain,
% 27.95/18.52 (v108(constB121)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16533, 16508])).
% 27.95/18.52 tff(16535,plain,
% 27.95/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16536,plain,
% 27.95/18.52 (((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122)) <=> ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16537,plain,
% 27.95/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121))))),
% 27.95/18.52 inference(monotonicity,[status(thm)],[16536])).
% 27.95/18.52 tff(16538,plain,
% 27.95/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 27.95/18.52 inference(transitivity,[status(thm)],[16537, 16535])).
% 27.95/18.52 tff(16539,plain,
% 27.95/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16540,plain,
% 27.95/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121))),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16539, 16538])).
% 27.95/18.52 tff(16541,plain,
% 27.95/18.52 (v110(constB122) | (~v108(constB121))),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16540, 360, 16319])).
% 27.95/18.52 tff(16542,plain,
% 27.95/18.52 (v110(constB122)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16541, 16534])).
% 27.95/18.52 tff(16543,plain,
% 27.95/18.52 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16544,plain,
% 27.95/18.52 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16545,plain,
% 27.95/18.52 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122))),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16544, 16543])).
% 27.95/18.52 tff(16546,plain,
% 27.95/18.52 (~v104(constB122)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16545, 378, 16319, 16064])).
% 27.95/18.52 tff(16547,plain,
% 27.95/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16548,plain,
% 27.95/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16549,plain,
% 27.95/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB121, constB122)) | v102(constB122) | v104(constB122)),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16548, 16547])).
% 27.95/18.52 tff(16550,plain,
% 27.95/18.52 (v102(constB122) | v104(constB122)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16549, 392, 16319])).
% 27.95/18.52 tff(16551,plain,
% 27.95/18.52 (v102(constB122)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16550, 16546])).
% 27.95/18.52 tff(16552,plain,
% 27.95/18.52 (v1(constB122) <=> v1(constB122)),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16553,axiom,(v1(constB122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_122_1')).
% 27.95/18.52 tff(16554,plain,
% 27.95/18.52 (v1(constB122)),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16553, 16552])).
% 27.95/18.52 tff(16555,plain,
% 27.95/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16556,plain,
% 27.95/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16557,plain,
% 27.95/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122))),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16556, 16555])).
% 27.95/18.52 tff(16558,plain,
% 27.95/18.52 (v101(constB122) | (~v102(constB122))),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16557, 410, 16319, 16554])).
% 27.95/18.52 tff(16559,plain,
% 27.95/18.52 (v101(constB122)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16558, 16551])).
% 27.95/18.52 tff(16560,plain,
% 27.95/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16561,plain,
% 27.95/18.52 (((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122)) <=> ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16562,plain,
% 27.95/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122))))),
% 27.95/18.52 inference(monotonicity,[status(thm)],[16561])).
% 27.95/18.52 tff(16563,plain,
% 27.95/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 27.95/18.52 inference(transitivity,[status(thm)],[16562, 16560])).
% 27.95/18.52 tff(16564,plain,
% 27.95/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16565,plain,
% 27.95/18.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122))),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16564, 16563])).
% 27.95/18.52 tff(16566,plain,
% 27.95/18.52 (v100(constB122) | (~v101(constB122)) | (~v110(constB122))),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16565, 425, 16319])).
% 27.95/18.52 tff(16567,plain,
% 27.95/18.52 (v100(constB122) | (~v110(constB122))),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16566, 16559])).
% 27.95/18.52 tff(16568,plain,
% 27.95/18.52 (v100(constB122)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16567, 16542])).
% 27.95/18.52 tff(16569,plain,
% 27.95/18.52 ($false),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16331, 16568, 16499])).
% 27.95/18.52 tff(16570,plain,(v90(constB120, 0) | (~v90(constB122, 2)) | v123(constB121)), inference(lemma,lemma(discharge,[]))).
% 27.95/18.52 tff(16571,plain,
% 27.95/18.52 (v123(constB121)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16570, 16060, 15967])).
% 27.95/18.52 tff(16572,plain,
% 27.95/18.52 (v130(constB119, 1)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16482, 1929, 15968])).
% 27.95/18.52 tff(16573,plain,
% 27.95/18.52 (v127(constB119, 1)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16280, 16572])).
% 27.95/18.52 tff(16574,plain,
% 27.95/18.52 (v129(constB120, 1)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16285, 16573])).
% 27.95/18.52 tff(16575,plain,
% 27.95/18.52 (v90(constB120, 1) | (~v100(constB120))),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16292, 885, 16574])).
% 27.95/18.52 tff(16576,plain,
% 27.95/18.52 (v90(constB120, 1)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16575, 16035])).
% 27.95/18.52 tff(16577,plain,
% 27.95/18.52 (v90(constB121, 1)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16302, 16576])).
% 27.95/18.52 tff(16578,plain,
% 27.95/18.52 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB121)) | (~v90(constB121, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB121)) | (~v90(constB121, 1)))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16579,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB121)) | (~v90(constB121, 1)))),
% 27.95/18.52 inference(quant_inst,[status(thm)],[])).
% 27.95/18.52 tff(16580,plain,
% 27.95/18.52 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB121)) | (~v90(constB121, 1))),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16579, 16578])).
% 27.95/18.52 tff(16581,plain,
% 27.95/18.52 ($false),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16580, 2108, 16577, 16571])).
% 27.95/18.52 tff(16582,plain,((~v124(constB119)) | (~v90(constB122, 2))), inference(lemma,lemma(discharge,[]))).
% 27.95/18.52 tff(16583,plain,
% 27.95/18.52 (~v90(constB122, 2)),
% 27.95/18.52 inference(unit_resolution,[status(thm)],[16582, 15966])).
% 27.95/18.52 tff(16584,plain,
% 27.95/18.52 ((~v1(constB123)) <=> (~v1(constB123))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16585,axiom,(~v1(constB123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_123_1_1')).
% 27.95/18.52 tff(16586,plain,
% 27.95/18.52 (~v1(constB123)),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16585, 16584])).
% 27.95/18.52 tff(16587,plain,
% 27.95/18.52 (nextState(constB122, constB123) <=> nextState(constB122, constB123)),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16588,axiom,(nextState(constB122, constB123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_122_1')).
% 27.95/18.52 tff(16589,plain,
% 27.95/18.52 (nextState(constB122, constB123)),
% 27.95/18.52 inference(modus_ponens,[status(thm)],[16588, 16587])).
% 27.95/18.52 tff(16590,plain,
% 27.95/18.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 27.95/18.52 inference(rewrite,[status(thm)],[])).
% 27.95/18.52 tff(16591,plain,
% 27.95/18.52 (((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123)) <=> (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16592,plain,
% 27.95/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123))))),
% 27.95/18.53 inference(monotonicity,[status(thm)],[16591])).
% 27.95/18.53 tff(16593,plain,
% 27.95/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 27.95/18.53 inference(transitivity,[status(thm)],[16592, 16590])).
% 27.95/18.53 tff(16594,plain,
% 27.95/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16595,plain,
% 27.95/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123))),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16594, 16593])).
% 27.95/18.53 tff(16596,plain,
% 27.95/18.53 (~v101(constB123)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16595, 138, 16589, 16586])).
% 27.95/18.53 tff(16597,plain,
% 27.95/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16598,plain,
% 27.95/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16599,plain,
% 27.95/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123))),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16598, 16597])).
% 27.95/18.53 tff(16600,plain,
% 27.95/18.53 (v101(constB123) | (~v100(constB123))),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16599, 155, 16589])).
% 27.95/18.53 tff(16601,plain,
% 27.95/18.53 (~v100(constB123)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16600, 16596])).
% 27.95/18.53 tff(16602,plain,
% 27.95/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB122, 2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB122, 2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 2)))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16603,plain,
% 27.95/18.53 (((~nextState(constB122, constB123)) | v90(constB122, 2) | v100(constB123) | (~v90(constB123, 2))) <=> (v90(constB122, 2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 2)))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16604,plain,
% 27.95/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB122, constB123)) | v90(constB122, 2) | v100(constB123) | (~v90(constB123, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB122, 2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 2))))),
% 27.95/18.53 inference(monotonicity,[status(thm)],[16603])).
% 27.95/18.53 tff(16605,plain,
% 27.95/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB122, constB123)) | v90(constB122, 2) | v100(constB123) | (~v90(constB123, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB122, 2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 2)))),
% 27.95/18.53 inference(transitivity,[status(thm)],[16604, 16602])).
% 27.95/18.53 tff(16606,plain,
% 27.95/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB122, constB123)) | v90(constB122, 2) | v100(constB123) | (~v90(constB123, 2)))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16607,plain,
% 27.95/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB122, 2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 2))),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16606, 16605])).
% 27.95/18.53 tff(16608,plain,
% 27.95/18.53 (v90(constB122, 2) | v100(constB123) | (~v90(constB123, 2))),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16607, 170, 16589])).
% 27.95/18.53 tff(16609,plain,
% 27.95/18.53 (v90(constB122, 2) | (~v90(constB123, 2))),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16608, 16601])).
% 27.95/18.53 tff(16610,plain,
% 27.95/18.53 (~v90(constB123, 2)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16609, 16583])).
% 27.95/18.53 tff(16611,assumption,(~v100(constB138)), introduced(assumption)).
% 27.95/18.53 tff(16612,plain,
% 27.95/18.53 ((~v1(constB137)) <=> (~v1(constB137))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16613,axiom,(~v1(constB137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_137_1_1')).
% 27.95/18.53 tff(16614,plain,
% 27.95/18.53 (~v1(constB137)),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16613, 16612])).
% 27.95/18.53 tff(16615,plain,
% 27.95/18.53 (nextState(constB137, constB138) <=> nextState(constB137, constB138)),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16616,axiom,(nextState(constB137, constB138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_137_1')).
% 27.95/18.53 tff(16617,plain,
% 27.95/18.53 (nextState(constB137, constB138)),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16616, 16615])).
% 27.95/18.53 tff(16618,plain,
% 27.95/18.53 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16619,plain,
% 27.95/18.53 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16620,plain,
% 27.95/18.53 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138))),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16619, 16618])).
% 27.95/18.53 tff(16621,plain,
% 27.95/18.53 (~v104(constB138)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16620, 378, 16617, 16614])).
% 27.95/18.53 tff(16622,plain,
% 27.95/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16623,plain,
% 27.95/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16624,plain,
% 27.95/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB137, constB138)) | v102(constB138) | v104(constB138)),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16623, 16622])).
% 27.95/18.53 tff(16625,plain,
% 27.95/18.53 (v102(constB138) | v104(constB138)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16624, 392, 16617])).
% 27.95/18.53 tff(16626,plain,
% 27.95/18.53 (v102(constB138)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16625, 16621])).
% 27.95/18.53 tff(16627,plain,
% 27.95/18.53 (v1(constB138) <=> v1(constB138)),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16628,axiom,(v1(constB138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_138_1')).
% 27.95/18.53 tff(16629,plain,
% 27.95/18.53 (v1(constB138)),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16628, 16627])).
% 27.95/18.53 tff(16630,plain,
% 27.95/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16631,plain,
% 27.95/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16632,plain,
% 27.95/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138))),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16631, 16630])).
% 27.95/18.53 tff(16633,plain,
% 27.95/18.53 (v101(constB138) | (~v102(constB138))),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16632, 410, 16617, 16629])).
% 27.95/18.53 tff(16634,plain,
% 27.95/18.53 (v101(constB138)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16633, 16626])).
% 27.95/18.53 tff(16635,plain,
% 27.95/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16636,plain,
% 27.95/18.53 (((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138)) <=> ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16637,plain,
% 27.95/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138))))),
% 27.95/18.53 inference(monotonicity,[status(thm)],[16636])).
% 27.95/18.53 tff(16638,plain,
% 27.95/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 27.95/18.53 inference(transitivity,[status(thm)],[16637, 16635])).
% 27.95/18.53 tff(16639,plain,
% 27.95/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16640,plain,
% 27.95/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138))),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16639, 16638])).
% 27.95/18.53 tff(16641,plain,
% 27.95/18.53 (v100(constB138) | (~v101(constB138)) | (~v110(constB138))),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16640, 425, 16617])).
% 27.95/18.53 tff(16642,plain,
% 27.95/18.53 (v100(constB138) | (~v110(constB138))),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16641, 16634])).
% 27.95/18.53 tff(16643,plain,
% 27.95/18.53 (~v110(constB138)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16642, 16611])).
% 27.95/18.53 tff(16644,plain,
% 27.95/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16645,plain,
% 27.95/18.53 (((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138)) <=> ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16646,plain,
% 27.95/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137))))),
% 27.95/18.53 inference(monotonicity,[status(thm)],[16645])).
% 27.95/18.53 tff(16647,plain,
% 27.95/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 27.95/18.53 inference(transitivity,[status(thm)],[16646, 16644])).
% 27.95/18.53 tff(16648,plain,
% 27.95/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16649,plain,
% 27.95/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137))),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16648, 16647])).
% 27.95/18.53 tff(16650,plain,
% 27.95/18.53 (v110(constB138) | (~v108(constB137))),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16649, 360, 16617])).
% 27.95/18.53 tff(16651,plain,
% 27.95/18.53 (~v108(constB137)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16650, 16643])).
% 27.95/18.53 tff(16652,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB137) | (~v112(constB137)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB137) | (~v112(constB137)))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16653,plain,
% 27.95/18.53 (((~v112(constB137)) | v108(constB137)) <=> (v108(constB137) | (~v112(constB137)))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16654,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB137)) | v108(constB137))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB137) | (~v112(constB137))))),
% 27.95/18.53 inference(monotonicity,[status(thm)],[16653])).
% 27.95/18.53 tff(16655,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB137)) | v108(constB137))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB137) | (~v112(constB137)))),
% 27.95/18.53 inference(transitivity,[status(thm)],[16654, 16652])).
% 27.95/18.53 tff(16656,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB137)) | v108(constB137))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16657,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB137) | (~v112(constB137))),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16656, 16655])).
% 27.95/18.53 tff(16658,plain,
% 27.95/18.53 (~v112(constB137)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16657, 340, 16651])).
% 27.95/18.53 tff(16659,assumption,(v26(constB137)), introduced(assumption)).
% 27.95/18.53 tff(16660,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB137))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16661,plain,
% 27.95/18.53 ($false),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16660, 95, 16659])).
% 27.95/18.53 tff(16662,plain,(~v26(constB137)), inference(lemma,lemma(discharge,[]))).
% 27.95/18.53 tff(16663,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | (~v113(constB137)) | v112(constB137))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16664,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16665,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | (~v113(constB137)) | v112(constB137)),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16664, 16663])).
% 27.95/18.53 tff(16666,plain,
% 27.95/18.53 ((~v113(constB137)) | v112(constB137)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16665, 328, 16662])).
% 27.95/18.53 tff(16667,plain,
% 27.95/18.53 (~v113(constB137)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16666, 16658])).
% 27.95/18.53 tff(16668,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB137) | (~v114(constB137)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB137) | (~v114(constB137)))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16669,plain,
% 27.95/18.53 (((~v114(constB137)) | v113(constB137)) <=> (v113(constB137) | (~v114(constB137)))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16670,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB137)) | v113(constB137))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB137) | (~v114(constB137))))),
% 27.95/18.53 inference(monotonicity,[status(thm)],[16669])).
% 27.95/18.53 tff(16671,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB137)) | v113(constB137))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB137) | (~v114(constB137)))),
% 27.95/18.53 inference(transitivity,[status(thm)],[16670, 16668])).
% 27.95/18.53 tff(16672,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB137)) | v113(constB137))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16673,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB137) | (~v114(constB137))),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16672, 16671])).
% 27.95/18.53 tff(16674,plain,
% 27.95/18.53 (~v114(constB137)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16673, 314, 16667])).
% 27.95/18.53 tff(16675,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB137) | (~v115(constB137)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB137) | (~v115(constB137)))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16676,plain,
% 27.95/18.53 (((~v115(constB137)) | v114(constB137)) <=> (v114(constB137) | (~v115(constB137)))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16677,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB137)) | v114(constB137))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB137) | (~v115(constB137))))),
% 27.95/18.53 inference(monotonicity,[status(thm)],[16676])).
% 27.95/18.53 tff(16678,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB137)) | v114(constB137))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB137) | (~v115(constB137)))),
% 27.95/18.53 inference(transitivity,[status(thm)],[16677, 16675])).
% 27.95/18.53 tff(16679,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB137)) | v114(constB137))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16680,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB137) | (~v115(constB137))),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16679, 16678])).
% 27.95/18.53 tff(16681,plain,
% 27.95/18.53 (~v115(constB137)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16680, 300, 16674])).
% 27.95/18.53 tff(16682,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB137)) | v115(constB137))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB137)) | v115(constB137))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16683,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB137)) | v115(constB137))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16684,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB137)) | v115(constB137)),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16683, 16682])).
% 27.95/18.53 tff(16685,plain,
% 27.95/18.53 (~v123(constB137)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16684, 1579, 16681])).
% 27.95/18.53 tff(16686,assumption,(~v90(constB138, 0)), introduced(assumption)).
% 27.95/18.53 tff(16687,assumption,(v121(constB137)), introduced(assumption)).
% 27.95/18.53 tff(16688,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB137) | (~v121(constB137)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB137) | (~v121(constB137)))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16689,plain,
% 27.95/18.53 (((~v121(constB137)) | v117(constB137)) <=> (v117(constB137) | (~v121(constB137)))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16690,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB137)) | v117(constB137))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB137) | (~v121(constB137))))),
% 27.95/18.53 inference(monotonicity,[status(thm)],[16689])).
% 27.95/18.53 tff(16691,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB137)) | v117(constB137))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB137) | (~v121(constB137)))),
% 27.95/18.53 inference(transitivity,[status(thm)],[16690, 16688])).
% 27.95/18.53 tff(16692,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB137)) | v117(constB137))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16693,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB137) | (~v121(constB137))),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16692, 16691])).
% 27.95/18.53 tff(16694,plain,
% 27.95/18.53 (v117(constB137)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16693, 1004, 16687])).
% 27.95/18.53 tff(16695,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB137) | (~v117(constB137)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB137) | (~v117(constB137)))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16696,plain,
% 27.95/18.53 (((~v117(constB137)) | v116(constB137)) <=> (v116(constB137) | (~v117(constB137)))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16697,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB137)) | v116(constB137))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB137) | (~v117(constB137))))),
% 27.95/18.53 inference(monotonicity,[status(thm)],[16696])).
% 27.95/18.53 tff(16698,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB137)) | v116(constB137))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB137) | (~v117(constB137)))),
% 27.95/18.53 inference(transitivity,[status(thm)],[16697, 16695])).
% 27.95/18.53 tff(16699,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB137)) | v116(constB137))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16700,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB137) | (~v117(constB137))),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16699, 16698])).
% 27.95/18.53 tff(16701,plain,
% 27.95/18.53 (v116(constB137)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16700, 272, 16694])).
% 27.95/18.53 tff(16702,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB137) | (~v116(constB137)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB137) | (~v116(constB137)))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16703,plain,
% 27.95/18.53 (((~v116(constB137)) | v115(constB137)) <=> (v115(constB137) | (~v116(constB137)))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16704,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB137)) | v115(constB137))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB137) | (~v116(constB137))))),
% 27.95/18.53 inference(monotonicity,[status(thm)],[16703])).
% 27.95/18.53 tff(16705,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB137)) | v115(constB137))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB137) | (~v116(constB137)))),
% 27.95/18.53 inference(transitivity,[status(thm)],[16704, 16702])).
% 27.95/18.53 tff(16706,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB137)) | v115(constB137))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16707,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB137) | (~v116(constB137))),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16706, 16705])).
% 27.95/18.53 tff(16708,plain,
% 27.95/18.53 (v115(constB137)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16707, 286, 16701])).
% 27.95/18.53 tff(16709,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB137)) | v130(constB137, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB137)) | v130(constB137, 0))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16710,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB137)) | v130(constB137, 0))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16711,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB137)) | v130(constB137, 0)),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16710, 16709])).
% 27.95/18.53 tff(16712,plain,
% 27.95/18.53 (v130(constB137, 0)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16711, 1099, 16687])).
% 27.95/18.53 tff(16713,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB137) | (~v130(constB137, 0)) | v127(constB137, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB137) | (~v130(constB137, 0)) | v127(constB137, 0))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16714,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB137) | (~v130(constB137, 0)) | v127(constB137, 0))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16715,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB137) | (~v130(constB137, 0)) | v127(constB137, 0)),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16714, 16713])).
% 27.95/18.53 tff(16716,plain,
% 27.95/18.53 ((~v130(constB137, 0)) | v127(constB137, 0)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16715, 612, 16662])).
% 27.95/18.53 tff(16717,plain,
% 27.95/18.53 (v127(constB137, 0)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16716, 16712])).
% 27.95/18.53 tff(16718,plain,
% 27.95/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB137, constB138)) | (~v127(constB137, 0)) | v129(constB138, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB137, constB138)) | (~v127(constB137, 0)) | v129(constB138, 0))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16719,plain,
% 27.95/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB137, constB138)) | (~v127(constB137, 0)) | v129(constB138, 0))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16720,plain,
% 27.95/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB137, constB138)) | (~v127(constB137, 0)) | v129(constB138, 0)),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16719, 16718])).
% 27.95/18.53 tff(16721,plain,
% 27.95/18.53 ((~v127(constB137, 0)) | v129(constB138, 0)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16720, 627, 16617])).
% 27.95/18.53 tff(16722,plain,
% 27.95/18.53 (v129(constB138, 0)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16721, 16717])).
% 27.95/18.53 tff(16723,plain,
% 27.95/18.53 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB138, 0) | (~v129(constB138, 0)) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB138, 0) | (~v129(constB138, 0)) | (~v100(constB138)))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16724,plain,
% 27.95/18.53 ((v90(constB138, 0) | (~v100(constB138)) | (~v129(constB138, 0))) <=> (v90(constB138, 0) | (~v129(constB138, 0)) | (~v100(constB138)))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16725,plain,
% 27.95/18.53 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB138, 0) | (~v100(constB138)) | (~v129(constB138, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB138, 0) | (~v129(constB138, 0)) | (~v100(constB138))))),
% 27.95/18.53 inference(monotonicity,[status(thm)],[16724])).
% 27.95/18.53 tff(16726,plain,
% 27.95/18.53 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB138, 0) | (~v100(constB138)) | (~v129(constB138, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB138, 0) | (~v129(constB138, 0)) | (~v100(constB138)))),
% 27.95/18.53 inference(transitivity,[status(thm)],[16725, 16723])).
% 27.95/18.53 tff(16727,plain,
% 27.95/18.53 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB138, 0) | (~v100(constB138)) | (~v129(constB138, 0)))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16728,plain,
% 27.95/18.53 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB138, 0) | (~v129(constB138, 0)) | (~v100(constB138))),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16727, 16726])).
% 27.95/18.53 tff(16729,plain,
% 27.95/18.53 ((~v129(constB138, 0)) | (~v100(constB138))),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16728, 642, 16686])).
% 27.95/18.53 tff(16730,plain,
% 27.95/18.53 (~v100(constB138)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16729, 16722])).
% 27.95/18.53 tff(16731,plain,
% 27.95/18.53 (~v110(constB138)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16642, 16730])).
% 27.95/18.53 tff(16732,plain,
% 27.95/18.53 (~v108(constB137)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16650, 16731])).
% 27.95/18.53 tff(16733,plain,
% 27.95/18.53 (~v112(constB137)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16657, 340, 16732])).
% 27.95/18.53 tff(16734,plain,
% 27.95/18.53 (~v113(constB137)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16666, 16733])).
% 27.95/18.53 tff(16735,plain,
% 27.95/18.53 (~v114(constB137)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16673, 314, 16734])).
% 27.95/18.53 tff(16736,plain,
% 27.95/18.53 ($false),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16680, 300, 16735, 16708])).
% 27.95/18.53 tff(16737,plain,((~v121(constB137)) | v90(constB138, 0)), inference(lemma,lemma(discharge,[]))).
% 27.95/18.53 tff(16738,plain,
% 27.95/18.53 (~v121(constB137)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16737, 16686])).
% 27.95/18.53 tff(16739,plain,
% 27.95/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB137, 0)) | (~nextState(constB137, constB138)) | v100(constB138) | v90(constB138, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB137, 0)) | (~nextState(constB137, constB138)) | v100(constB138) | v90(constB138, 0))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16740,plain,
% 27.95/18.53 (((~nextState(constB137, constB138)) | (~v90(constB137, 0)) | v100(constB138) | v90(constB138, 0)) <=> ((~v90(constB137, 0)) | (~nextState(constB137, constB138)) | v100(constB138) | v90(constB138, 0))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16741,plain,
% 27.95/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB137, constB138)) | (~v90(constB137, 0)) | v100(constB138) | v90(constB138, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB137, 0)) | (~nextState(constB137, constB138)) | v100(constB138) | v90(constB138, 0)))),
% 27.95/18.53 inference(monotonicity,[status(thm)],[16740])).
% 27.95/18.53 tff(16742,plain,
% 27.95/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB137, constB138)) | (~v90(constB137, 0)) | v100(constB138) | v90(constB138, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB137, 0)) | (~nextState(constB137, constB138)) | v100(constB138) | v90(constB138, 0))),
% 27.95/18.53 inference(transitivity,[status(thm)],[16741, 16739])).
% 27.95/18.53 tff(16743,plain,
% 27.95/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB137, constB138)) | (~v90(constB137, 0)) | v100(constB138) | v90(constB138, 0))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16744,plain,
% 27.95/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB137, 0)) | (~nextState(constB137, constB138)) | v100(constB138) | v90(constB138, 0)),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16743, 16742])).
% 27.95/18.53 tff(16745,plain,
% 27.95/18.53 ((~v90(constB137, 0)) | v100(constB138) | v90(constB138, 0)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16744, 660, 16617])).
% 27.95/18.53 tff(16746,plain,
% 27.95/18.53 (~v90(constB137, 0)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16745, 16611, 16686])).
% 27.95/18.53 tff(16747,plain,
% 27.95/18.53 (~v116(constB137)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16707, 286, 16681])).
% 27.95/18.53 tff(16748,plain,
% 27.95/18.53 (~v117(constB137)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16700, 272, 16747])).
% 27.95/18.53 tff(16749,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB137)) | v117(constB137))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB137)) | v117(constB137))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16750,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB137)) | v117(constB137))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16751,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB137)) | v117(constB137)),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16750, 16749])).
% 27.95/18.53 tff(16752,plain,
% 27.95/18.53 (~v118(constB137)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16751, 258, 16748])).
% 27.95/18.53 tff(16753,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB137) | (~v119(constB137)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB137) | (~v119(constB137)))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16754,plain,
% 27.95/18.53 (((~v119(constB137)) | v118(constB137)) <=> (v118(constB137) | (~v119(constB137)))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16755,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB137)) | v118(constB137))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB137) | (~v119(constB137))))),
% 27.95/18.53 inference(monotonicity,[status(thm)],[16754])).
% 27.95/18.53 tff(16756,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB137)) | v118(constB137))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB137) | (~v119(constB137)))),
% 27.95/18.53 inference(transitivity,[status(thm)],[16755, 16753])).
% 27.95/18.53 tff(16757,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB137)) | v118(constB137))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16758,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB137) | (~v119(constB137))),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16757, 16756])).
% 27.95/18.53 tff(16759,plain,
% 27.95/18.53 (~v119(constB137)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16758, 247, 16752])).
% 27.95/18.53 tff(16760,assumption,(~v119(constB137)), introduced(assumption)).
% 27.95/18.53 tff(16761,assumption,(~v90(constB137, 2)), introduced(assumption)).
% 27.95/18.53 tff(16762,assumption,(~v121(constB137)), introduced(assumption)).
% 27.95/18.53 tff(16763,assumption,(~v90(constB137, 0)), introduced(assumption)).
% 27.95/18.53 tff(16764,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB137, 0) | (~v90(constB137, 1)) | v90(constB137, 2) | v121(constB137))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB137, 0) | (~v90(constB137, 1)) | v90(constB137, 2) | v121(constB137))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16765,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB137, 0) | (~v90(constB137, 1)) | v90(constB137, 2) | v121(constB137))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16766,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB137, 0) | (~v90(constB137, 1)) | v90(constB137, 2) | v121(constB137)),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16765, 16764])).
% 27.95/18.53 tff(16767,plain,
% 27.95/18.53 ((~v90(constB137, 1)) | v90(constB137, 2)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16766, 993, 16763, 16762])).
% 27.95/18.53 tff(16768,plain,
% 27.95/18.53 (~v90(constB137, 1)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16767, 16761])).
% 27.95/18.53 tff(16769,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB137, 0) | v90(constB137, 1) | v90(constB137, 2) | v119(constB137))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB137, 0) | v90(constB137, 1) | v90(constB137, 2) | v119(constB137))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16770,plain,
% 27.95/18.53 ((v90(constB137, 0) | v119(constB137) | v90(constB137, 1) | v90(constB137, 2)) <=> (v90(constB137, 0) | v90(constB137, 1) | v90(constB137, 2) | v119(constB137))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16771,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB137, 0) | v119(constB137) | v90(constB137, 1) | v90(constB137, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB137, 0) | v90(constB137, 1) | v90(constB137, 2) | v119(constB137)))),
% 27.95/18.53 inference(monotonicity,[status(thm)],[16770])).
% 27.95/18.53 tff(16772,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB137, 0) | v119(constB137) | v90(constB137, 1) | v90(constB137, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB137, 0) | v90(constB137, 1) | v90(constB137, 2) | v119(constB137))),
% 27.95/18.53 inference(transitivity,[status(thm)],[16771, 16769])).
% 27.95/18.53 tff(16773,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB137, 0) | v119(constB137) | v90(constB137, 1) | v90(constB137, 2))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16774,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB137, 0) | v90(constB137, 1) | v90(constB137, 2) | v119(constB137)),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16773, 16772])).
% 27.95/18.53 tff(16775,plain,
% 27.95/18.53 (v90(constB137, 1) | v90(constB137, 2) | v119(constB137)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16774, 233, 16763])).
% 27.95/18.53 tff(16776,plain,
% 27.95/18.53 ($false),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16775, 16768, 16761, 16760])).
% 27.95/18.53 tff(16777,plain,(v90(constB137, 2) | v119(constB137) | v90(constB137, 0) | v121(constB137)), inference(lemma,lemma(discharge,[]))).
% 27.95/18.53 tff(16778,plain,
% 27.95/18.53 (v90(constB137, 2)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16777, 16759, 16746, 16738])).
% 27.95/18.53 tff(16779,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB137)) | v113(constB137))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB137)) | v113(constB137))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16780,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB137)) | v113(constB137))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16781,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB137)) | v113(constB137)),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16780, 16779])).
% 27.95/18.53 tff(16782,plain,
% 27.95/18.53 (~v125(constB137)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16781, 2022, 16667])).
% 27.95/18.53 tff(16783,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB137, 0) | (~v90(constB137, 1)) | (~v90(constB137, 2)) | v125(constB137))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB137, 0) | (~v90(constB137, 1)) | (~v90(constB137, 2)) | v125(constB137))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16784,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB137, 0) | (~v90(constB137, 1)) | (~v90(constB137, 2)) | v125(constB137))),
% 27.95/18.53 inference(quant_inst,[status(thm)],[])).
% 27.95/18.53 tff(16785,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB137, 0) | (~v90(constB137, 1)) | (~v90(constB137, 2)) | v125(constB137)),
% 27.95/18.53 inference(modus_ponens,[status(thm)],[16784, 16783])).
% 27.95/18.53 tff(16786,plain,
% 27.95/18.53 ((~v90(constB137, 1)) | (~v90(constB137, 2)) | v125(constB137)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16785, 2011, 16746])).
% 27.95/18.53 tff(16787,plain,
% 27.95/18.53 (~v90(constB137, 1)),
% 27.95/18.53 inference(unit_resolution,[status(thm)],[16786, 16778, 16782])).
% 27.95/18.53 tff(16788,plain,
% 27.95/18.53 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB137, 0) | v90(constB137, 1) | (~v90(constB137, 2)) | v123(constB137))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB137, 0) | v90(constB137, 1) | (~v90(constB137, 2)) | v123(constB137))),
% 27.95/18.53 inference(rewrite,[status(thm)],[])).
% 27.95/18.53 tff(16789,plain,
% 27.95/18.53 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB137, 0) | v90(constB137, 1) | (~v90(constB137, 2)) | v123(constB137))),
% 28.02/18.53 inference(quant_inst,[status(thm)],[])).
% 28.02/18.53 tff(16790,plain,
% 28.02/18.53 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB137, 0) | v90(constB137, 1) | (~v90(constB137, 2)) | v123(constB137)),
% 28.02/18.53 inference(modus_ponens,[status(thm)],[16789, 16788])).
% 28.02/18.53 tff(16791,plain,
% 28.02/18.53 (v90(constB137, 1) | (~v90(constB137, 2)) | v123(constB137)),
% 28.02/18.53 inference(unit_resolution,[status(thm)],[16790, 1565, 16746])).
% 28.02/18.53 tff(16792,plain,
% 28.02/18.53 ($false),
% 28.02/18.53 inference(unit_resolution,[status(thm)],[16791, 16787, 16778, 16685])).
% 28.02/18.53 tff(16793,plain,(v100(constB138) | v90(constB138, 0)), inference(lemma,lemma(discharge,[]))).
% 28.02/18.53 tff(16794,plain,
% 28.02/18.53 (v90(constB138, 0)),
% 28.02/18.53 inference(unit_resolution,[status(thm)],[16793, 16611])).
% 28.02/18.53 tff(16795,assumption,(v90(constB138, 0)), introduced(assumption)).
% 28.02/18.53 tff(16796,plain,
% 28.02/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB137, 0) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB137, 0) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, 0)))),
% 28.02/18.53 inference(rewrite,[status(thm)],[])).
% 28.02/18.53 tff(16797,plain,
% 28.02/18.53 (((~nextState(constB137, constB138)) | v90(constB137, 0) | v100(constB138) | (~v90(constB138, 0))) <=> (v90(constB137, 0) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, 0)))),
% 28.02/18.53 inference(rewrite,[status(thm)],[])).
% 28.02/18.53 tff(16798,plain,
% 28.02/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB137, constB138)) | v90(constB137, 0) | v100(constB138) | (~v90(constB138, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB137, 0) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, 0))))),
% 28.02/18.53 inference(monotonicity,[status(thm)],[16797])).
% 28.02/18.53 tff(16799,plain,
% 28.02/18.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB137, constB138)) | v90(constB137, 0) | v100(constB138) | (~v90(constB138, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB137, 0) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, 0)))),
% 28.02/18.53 inference(transitivity,[status(thm)],[16798, 16796])).
% 28.02/18.53 tff(16800,plain,
% 28.02/18.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB137, constB138)) | v90(constB137, 0) | v100(constB138) | (~v90(constB138, 0)))),
% 28.02/18.54 inference(quant_inst,[status(thm)],[])).
% 28.02/18.54 tff(16801,plain,
% 28.02/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB137, 0) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, 0))),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16800, 16799])).
% 28.02/18.54 tff(16802,plain,
% 28.02/18.54 (v90(constB137, 0) | v100(constB138) | (~v90(constB138, 0))),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16801, 212, 16617])).
% 28.02/18.54 tff(16803,plain,
% 28.02/18.54 (v90(constB137, 0)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16802, 16611, 16795])).
% 28.02/18.54 tff(16804,plain,
% 28.02/18.54 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB137) | (~v122(constB137)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB137) | (~v122(constB137)))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16805,plain,
% 28.02/18.54 (((~v122(constB137)) | v116(constB137)) <=> (v116(constB137) | (~v122(constB137)))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16806,plain,
% 28.02/18.54 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB137)) | v116(constB137))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB137) | (~v122(constB137))))),
% 28.02/18.54 inference(monotonicity,[status(thm)],[16805])).
% 28.02/18.54 tff(16807,plain,
% 28.02/18.54 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB137)) | v116(constB137))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB137) | (~v122(constB137)))),
% 28.02/18.54 inference(transitivity,[status(thm)],[16806, 16804])).
% 28.02/18.54 tff(16808,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB137)) | v116(constB137))),
% 28.02/18.54 inference(quant_inst,[status(thm)],[])).
% 28.02/18.54 tff(16809,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB137) | (~v122(constB137))),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16808, 16807])).
% 28.02/18.54 tff(16810,plain,
% 28.02/18.54 (~v122(constB137)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16809, 1272, 16747])).
% 28.02/18.54 tff(16811,plain,
% 28.02/18.54 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB137)) | v118(constB137))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB137)) | v118(constB137))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16812,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB137)) | v118(constB137))),
% 28.02/18.54 inference(quant_inst,[status(thm)],[])).
% 28.02/18.54 tff(16813,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB137)) | v118(constB137)),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16812, 16811])).
% 28.02/18.54 tff(16814,plain,
% 28.02/18.54 (~v120(constB137)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16813, 690, 16752])).
% 28.02/18.54 tff(16815,assumption,(v90(constB137, 0)), introduced(assumption)).
% 28.02/18.54 tff(16816,assumption,(~v122(constB137)), introduced(assumption)).
% 28.02/18.54 tff(16817,plain,
% 28.02/18.54 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB137, 0)) | (~v90(constB137, 1)) | v90(constB137, 2) | v122(constB137))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB137, 0)) | (~v90(constB137, 1)) | v90(constB137, 2) | v122(constB137))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16818,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB137, 0)) | (~v90(constB137, 1)) | v90(constB137, 2) | v122(constB137))),
% 28.02/18.54 inference(quant_inst,[status(thm)],[])).
% 28.02/18.54 tff(16819,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB137, 0)) | (~v90(constB137, 1)) | v90(constB137, 2) | v122(constB137)),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16818, 16817])).
% 28.02/18.54 tff(16820,plain,
% 28.02/18.54 ((~v90(constB137, 0)) | (~v90(constB137, 1)) | v90(constB137, 2)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16819, 1260, 16816])).
% 28.02/18.54 tff(16821,plain,
% 28.02/18.54 (~v90(constB137, 1)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16820, 16761, 16815])).
% 28.02/18.54 tff(16822,assumption,(~v120(constB137)), introduced(assumption)).
% 28.02/18.54 tff(16823,plain,
% 28.02/18.54 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB137, 0)) | v90(constB137, 1) | v90(constB137, 2) | v120(constB137))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB137, 0)) | v90(constB137, 1) | v90(constB137, 2) | v120(constB137))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16824,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB137, 0)) | v90(constB137, 1) | v90(constB137, 2) | v120(constB137))),
% 28.02/18.54 inference(quant_inst,[status(thm)],[])).
% 28.02/18.54 tff(16825,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB137, 0)) | v90(constB137, 1) | v90(constB137, 2) | v120(constB137)),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16824, 16823])).
% 28.02/18.54 tff(16826,plain,
% 28.02/18.54 ((~v90(constB137, 0)) | v90(constB137, 1) | v90(constB137, 2)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16825, 679, 16822])).
% 28.02/18.54 tff(16827,plain,
% 28.02/18.54 ($false),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16826, 16821, 16761, 16815])).
% 28.02/18.54 tff(16828,plain,(v90(constB137, 2) | (~v90(constB137, 0)) | v120(constB137) | v122(constB137)), inference(lemma,lemma(discharge,[]))).
% 28.02/18.54 tff(16829,plain,
% 28.02/18.54 (v90(constB137, 2)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16828, 16814, 16810, 16803])).
% 28.02/18.54 tff(16830,plain,
% 28.02/18.54 (nextState(constB136, constB137) <=> nextState(constB136, constB137)),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16831,axiom,(nextState(constB136, constB137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_136_1')).
% 28.02/18.54 tff(16832,plain,
% 28.02/18.54 (nextState(constB136, constB137)),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16831, 16830])).
% 28.02/18.54 tff(16833,plain,
% 28.02/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16834,plain,
% 28.02/18.54 (((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137)) <=> (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16835,plain,
% 28.02/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137))))),
% 28.02/18.54 inference(monotonicity,[status(thm)],[16834])).
% 28.02/18.54 tff(16836,plain,
% 28.02/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 28.02/18.54 inference(transitivity,[status(thm)],[16835, 16833])).
% 28.02/18.54 tff(16837,plain,
% 28.02/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))),
% 28.02/18.54 inference(quant_inst,[status(thm)],[])).
% 28.02/18.54 tff(16838,plain,
% 28.02/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137))),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16837, 16836])).
% 28.02/18.54 tff(16839,plain,
% 28.02/18.54 (~v101(constB137)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16838, 138, 16832, 16614])).
% 28.02/18.54 tff(16840,plain,
% 28.02/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16841,plain,
% 28.02/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))),
% 28.02/18.54 inference(quant_inst,[status(thm)],[])).
% 28.02/18.54 tff(16842,plain,
% 28.02/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137))),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16841, 16840])).
% 28.02/18.54 tff(16843,plain,
% 28.02/18.54 (v101(constB137) | (~v100(constB137))),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16842, 155, 16832])).
% 28.02/18.54 tff(16844,plain,
% 28.02/18.54 (~v100(constB137)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16843, 16839])).
% 28.02/18.54 tff(16845,plain,
% 28.02/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB136, 2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB136, 2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 2)))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16846,plain,
% 28.02/18.54 (((~nextState(constB136, constB137)) | v90(constB136, 2) | v100(constB137) | (~v90(constB137, 2))) <=> (v90(constB136, 2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 2)))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16847,plain,
% 28.02/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB136, constB137)) | v90(constB136, 2) | v100(constB137) | (~v90(constB137, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB136, 2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 2))))),
% 28.02/18.54 inference(monotonicity,[status(thm)],[16846])).
% 28.02/18.54 tff(16848,plain,
% 28.02/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB136, constB137)) | v90(constB136, 2) | v100(constB137) | (~v90(constB137, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB136, 2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 2)))),
% 28.02/18.54 inference(transitivity,[status(thm)],[16847, 16845])).
% 28.02/18.54 tff(16849,plain,
% 28.02/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB136, constB137)) | v90(constB136, 2) | v100(constB137) | (~v90(constB137, 2)))),
% 28.02/18.54 inference(quant_inst,[status(thm)],[])).
% 28.02/18.54 tff(16850,plain,
% 28.02/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB136, 2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 2))),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16849, 16848])).
% 28.02/18.54 tff(16851,plain,
% 28.02/18.54 (v90(constB136, 2) | v100(constB137) | (~v90(constB137, 2))),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16850, 170, 16832])).
% 28.02/18.54 tff(16852,plain,
% 28.02/18.54 (v90(constB136, 2) | (~v90(constB137, 2))),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16851, 16844])).
% 28.02/18.54 tff(16853,plain,
% 28.02/18.54 (v90(constB136, 2)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16852, 16829])).
% 28.02/18.54 tff(16854,plain,
% 28.02/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB136, 0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB136, 0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 0)))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16855,plain,
% 28.02/18.54 (((~nextState(constB136, constB137)) | v90(constB136, 0) | v100(constB137) | (~v90(constB137, 0))) <=> (v90(constB136, 0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 0)))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16856,plain,
% 28.02/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB136, constB137)) | v90(constB136, 0) | v100(constB137) | (~v90(constB137, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB136, 0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 0))))),
% 28.02/18.54 inference(monotonicity,[status(thm)],[16855])).
% 28.02/18.54 tff(16857,plain,
% 28.02/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB136, constB137)) | v90(constB136, 0) | v100(constB137) | (~v90(constB137, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB136, 0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 0)))),
% 28.02/18.54 inference(transitivity,[status(thm)],[16856, 16854])).
% 28.02/18.54 tff(16858,plain,
% 28.02/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB136, constB137)) | v90(constB136, 0) | v100(constB137) | (~v90(constB137, 0)))),
% 28.02/18.54 inference(quant_inst,[status(thm)],[])).
% 28.02/18.54 tff(16859,plain,
% 28.02/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB136, 0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 0))),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16858, 16857])).
% 28.02/18.54 tff(16860,plain,
% 28.02/18.54 (v90(constB136, 0) | v100(constB137) | (~v90(constB137, 0))),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16859, 212, 16832])).
% 28.02/18.54 tff(16861,plain,
% 28.02/18.54 (v90(constB136, 0) | (~v90(constB137, 0))),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16860, 16844])).
% 28.02/18.54 tff(16862,plain,
% 28.02/18.54 (v90(constB136, 0)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16861, 16803])).
% 28.02/18.54 tff(16863,plain,
% 28.02/18.54 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB137)) | v114(constB137))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB137)) | v114(constB137))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16864,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB137)) | v114(constB137))),
% 28.02/18.54 inference(quant_inst,[status(thm)],[])).
% 28.02/18.54 tff(16865,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB137)) | v114(constB137)),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16864, 16863])).
% 28.02/18.54 tff(16866,plain,
% 28.02/18.54 (~v124(constB137)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16865, 1805, 16674])).
% 28.02/18.54 tff(16867,plain,
% 28.02/18.54 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB137, 0)) | v90(constB137, 1) | (~v90(constB137, 2)) | v124(constB137))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB137, 0)) | v90(constB137, 1) | (~v90(constB137, 2)) | v124(constB137))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16868,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB137, 0)) | v90(constB137, 1) | (~v90(constB137, 2)) | v124(constB137))),
% 28.02/18.54 inference(quant_inst,[status(thm)],[])).
% 28.02/18.54 tff(16869,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB137, 0)) | v90(constB137, 1) | (~v90(constB137, 2)) | v124(constB137)),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16868, 16867])).
% 28.02/18.54 tff(16870,plain,
% 28.02/18.54 (v90(constB137, 1) | (~v90(constB137, 2)) | v124(constB137)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16869, 1794, 16803])).
% 28.02/18.54 tff(16871,plain,
% 28.02/18.54 (v90(constB137, 1)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16870, 16829, 16866])).
% 28.02/18.54 tff(16872,plain,
% 28.02/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB136, 1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB136, 1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 1)))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16873,plain,
% 28.02/18.54 (((~nextState(constB136, constB137)) | v90(constB136, 1) | v100(constB137) | (~v90(constB137, 1))) <=> (v90(constB136, 1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 1)))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16874,plain,
% 28.02/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB136, constB137)) | v90(constB136, 1) | v100(constB137) | (~v90(constB137, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB136, 1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 1))))),
% 28.02/18.54 inference(monotonicity,[status(thm)],[16873])).
% 28.02/18.54 tff(16875,plain,
% 28.02/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB136, constB137)) | v90(constB136, 1) | v100(constB137) | (~v90(constB137, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB136, 1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 1)))),
% 28.02/18.54 inference(transitivity,[status(thm)],[16874, 16872])).
% 28.02/18.54 tff(16876,plain,
% 28.02/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB136, constB137)) | v90(constB136, 1) | v100(constB137) | (~v90(constB137, 1)))),
% 28.02/18.54 inference(quant_inst,[status(thm)],[])).
% 28.02/18.54 tff(16877,plain,
% 28.02/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB136, 1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 1))),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16876, 16875])).
% 28.02/18.54 tff(16878,plain,
% 28.02/18.54 (v90(constB136, 1) | v100(constB137) | (~v90(constB137, 1))),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16877, 191, 16832])).
% 28.02/18.54 tff(16879,plain,
% 28.02/18.54 (v90(constB136, 1) | (~v90(constB137, 1))),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16878, 16844])).
% 28.02/18.54 tff(16880,plain,
% 28.02/18.54 (v90(constB136, 1)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16879, 16871])).
% 28.02/18.54 tff(16881,assumption,(v90(constB136, 1)), introduced(assumption)).
% 28.02/18.54 tff(16882,assumption,(~v90(constB135, 1)), introduced(assumption)).
% 28.02/18.54 tff(16883,plain,
% 28.02/18.54 (nextState(constB135, constB136) <=> nextState(constB135, constB136)),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16884,axiom,(nextState(constB135, constB136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_135_1')).
% 28.02/18.54 tff(16885,plain,
% 28.02/18.54 (nextState(constB135, constB136)),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16884, 16883])).
% 28.02/18.54 tff(16886,plain,
% 28.02/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB135, 1) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB135, 1) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 1)))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16887,plain,
% 28.02/18.54 (((~nextState(constB135, constB136)) | v90(constB135, 1) | v100(constB136) | (~v90(constB136, 1))) <=> (v90(constB135, 1) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 1)))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16888,plain,
% 28.02/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB135, constB136)) | v90(constB135, 1) | v100(constB136) | (~v90(constB136, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB135, 1) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 1))))),
% 28.02/18.54 inference(monotonicity,[status(thm)],[16887])).
% 28.02/18.54 tff(16889,plain,
% 28.02/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB135, constB136)) | v90(constB135, 1) | v100(constB136) | (~v90(constB136, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB135, 1) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 1)))),
% 28.02/18.54 inference(transitivity,[status(thm)],[16888, 16886])).
% 28.02/18.54 tff(16890,plain,
% 28.02/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB135, constB136)) | v90(constB135, 1) | v100(constB136) | (~v90(constB136, 1)))),
% 28.02/18.54 inference(quant_inst,[status(thm)],[])).
% 28.02/18.54 tff(16891,plain,
% 28.02/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB135, 1) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 1))),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16890, 16889])).
% 28.02/18.54 tff(16892,plain,
% 28.02/18.54 (v90(constB135, 1) | v100(constB136) | (~v90(constB136, 1))),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16891, 191, 16885])).
% 28.02/18.54 tff(16893,plain,
% 28.02/18.54 (v100(constB136)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16892, 16882, 16881])).
% 28.02/18.54 tff(16894,assumption,(v90(constB136, 0)), introduced(assumption)).
% 28.02/18.54 tff(16895,plain,
% 28.02/18.54 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB136, 0)) | v129(constB136, 0) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB136, 0)) | v129(constB136, 0) | (~v100(constB136)))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16896,plain,
% 28.02/18.54 (((~v90(constB136, 0)) | (~v100(constB136)) | v129(constB136, 0)) <=> ((~v90(constB136, 0)) | v129(constB136, 0) | (~v100(constB136)))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16897,plain,
% 28.02/18.54 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB136, 0)) | (~v100(constB136)) | v129(constB136, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB136, 0)) | v129(constB136, 0) | (~v100(constB136))))),
% 28.02/18.54 inference(monotonicity,[status(thm)],[16896])).
% 28.02/18.54 tff(16898,plain,
% 28.02/18.54 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB136, 0)) | (~v100(constB136)) | v129(constB136, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB136, 0)) | v129(constB136, 0) | (~v100(constB136)))),
% 28.02/18.54 inference(transitivity,[status(thm)],[16897, 16895])).
% 28.02/18.54 tff(16899,plain,
% 28.02/18.54 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB136, 0)) | (~v100(constB136)) | v129(constB136, 0))),
% 28.02/18.54 inference(quant_inst,[status(thm)],[])).
% 28.02/18.54 tff(16900,plain,
% 28.02/18.54 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB136, 0)) | v129(constB136, 0) | (~v100(constB136))),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16899, 16898])).
% 28.02/18.54 tff(16901,plain,
% 28.02/18.54 (v129(constB136, 0) | (~v100(constB136))),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16900, 966, 16894])).
% 28.02/18.54 tff(16902,plain,
% 28.02/18.54 (v129(constB136, 0)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16901, 16893])).
% 28.02/18.54 tff(16903,plain,
% 28.02/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB135, constB136)) | v127(constB135, 0) | (~v129(constB136, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB135, constB136)) | v127(constB135, 0) | (~v129(constB136, 0)))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16904,plain,
% 28.02/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB135, constB136)) | v127(constB135, 0) | (~v129(constB136, 0)))),
% 28.02/18.54 inference(quant_inst,[status(thm)],[])).
% 28.02/18.54 tff(16905,plain,
% 28.02/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB135, constB136)) | v127(constB135, 0) | (~v129(constB136, 0))),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16904, 16903])).
% 28.02/18.54 tff(16906,plain,
% 28.02/18.54 (v127(constB135, 0) | (~v129(constB136, 0))),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16905, 951, 16885])).
% 28.02/18.54 tff(16907,plain,
% 28.02/18.54 (v127(constB135, 0)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16906, 16902])).
% 28.02/18.54 tff(16908,plain,
% 28.02/18.54 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB135)) | (~v127(constB135, 0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB135)) | (~v127(constB135, 0)))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16909,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB135)) | (~v127(constB135, 0)))),
% 28.02/18.54 inference(quant_inst,[status(thm)],[])).
% 28.02/18.54 tff(16910,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB135)) | (~v127(constB135, 0))),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16909, 16908])).
% 28.02/18.54 tff(16911,plain,
% 28.02/18.54 (~v26(constB135)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16910, 1370, 16907])).
% 28.02/18.54 tff(16912,plain,
% 28.02/18.54 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB136, 1)) | v129(constB136, 1) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB136, 1)) | v129(constB136, 1) | (~v100(constB136)))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16913,plain,
% 28.02/18.54 (((~v90(constB136, 1)) | (~v100(constB136)) | v129(constB136, 1)) <=> ((~v90(constB136, 1)) | v129(constB136, 1) | (~v100(constB136)))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16914,plain,
% 28.02/18.54 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB136, 1)) | (~v100(constB136)) | v129(constB136, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB136, 1)) | v129(constB136, 1) | (~v100(constB136))))),
% 28.02/18.54 inference(monotonicity,[status(thm)],[16913])).
% 28.02/18.54 tff(16915,plain,
% 28.02/18.54 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB136, 1)) | (~v100(constB136)) | v129(constB136, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB136, 1)) | v129(constB136, 1) | (~v100(constB136)))),
% 28.02/18.54 inference(transitivity,[status(thm)],[16914, 16912])).
% 28.02/18.54 tff(16916,plain,
% 28.02/18.54 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB136, 1)) | (~v100(constB136)) | v129(constB136, 1))),
% 28.02/18.54 inference(quant_inst,[status(thm)],[])).
% 28.02/18.54 tff(16917,plain,
% 28.02/18.54 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB136, 1)) | v129(constB136, 1) | (~v100(constB136))),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16916, 16915])).
% 28.02/18.54 tff(16918,plain,
% 28.02/18.54 (v129(constB136, 1) | (~v100(constB136))),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16917, 574, 16881])).
% 28.02/18.54 tff(16919,plain,
% 28.02/18.54 (v129(constB136, 1)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16918, 16893])).
% 28.02/18.54 tff(16920,plain,
% 28.02/18.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB135, constB136)) | v127(constB135, 1) | (~v129(constB136, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB135, constB136)) | v127(constB135, 1) | (~v129(constB136, 1)))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16921,plain,
% 28.02/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB135, constB136)) | v127(constB135, 1) | (~v129(constB136, 1)))),
% 28.02/18.54 inference(quant_inst,[status(thm)],[])).
% 28.02/18.54 tff(16922,plain,
% 28.02/18.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB135, constB136)) | v127(constB135, 1) | (~v129(constB136, 1))),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16921, 16920])).
% 28.02/18.54 tff(16923,plain,
% 28.02/18.54 (v127(constB135, 1) | (~v129(constB136, 1))),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16922, 559, 16885])).
% 28.02/18.54 tff(16924,plain,
% 28.02/18.54 (v127(constB135, 1)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16923, 16919])).
% 28.02/18.54 tff(16925,plain,
% 28.02/18.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB135, 1)) | v26(constB135) | v130(constB135, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB135, 1)) | v26(constB135) | v130(constB135, 1))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16926,plain,
% 28.02/18.54 ((v26(constB135) | v130(constB135, 1) | (~v127(constB135, 1))) <=> ((~v127(constB135, 1)) | v26(constB135) | v130(constB135, 1))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16927,plain,
% 28.02/18.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB135) | v130(constB135, 1) | (~v127(constB135, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB135, 1)) | v26(constB135) | v130(constB135, 1)))),
% 28.02/18.54 inference(monotonicity,[status(thm)],[16926])).
% 28.02/18.54 tff(16928,plain,
% 28.02/18.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB135) | v130(constB135, 1) | (~v127(constB135, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB135, 1)) | v26(constB135) | v130(constB135, 1))),
% 28.02/18.54 inference(transitivity,[status(thm)],[16927, 16925])).
% 28.02/18.54 tff(16929,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB135) | v130(constB135, 1) | (~v127(constB135, 1)))),
% 28.02/18.54 inference(quant_inst,[status(thm)],[])).
% 28.02/18.54 tff(16930,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB135, 1)) | v26(constB135) | v130(constB135, 1)),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16929, 16928])).
% 28.02/18.54 tff(16931,plain,
% 28.02/18.54 (v130(constB135, 1)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16930, 541, 16924, 16911])).
% 28.02/18.54 tff(16932,plain,
% 28.02/18.54 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB135)) | (~v130(constB135, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB135)) | (~v130(constB135, 1)))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16933,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB135)) | (~v130(constB135, 1)))),
% 28.02/18.54 inference(quant_inst,[status(thm)],[])).
% 28.02/18.54 tff(16934,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB135)) | (~v130(constB135, 1))),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16933, 16932])).
% 28.02/18.54 tff(16935,plain,
% 28.02/18.54 (~v119(constB135)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16934, 527, 16931])).
% 28.02/18.54 tff(16936,plain,
% 28.02/18.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB135, 0)) | v26(constB135) | v130(constB135, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB135, 0)) | v26(constB135) | v130(constB135, 0))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16937,plain,
% 28.02/18.54 ((v26(constB135) | v130(constB135, 0) | (~v127(constB135, 0))) <=> ((~v127(constB135, 0)) | v26(constB135) | v130(constB135, 0))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16938,plain,
% 28.02/18.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB135) | v130(constB135, 0) | (~v127(constB135, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB135, 0)) | v26(constB135) | v130(constB135, 0)))),
% 28.02/18.54 inference(monotonicity,[status(thm)],[16937])).
% 28.02/18.54 tff(16939,plain,
% 28.02/18.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB135) | v130(constB135, 0) | (~v127(constB135, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB135, 0)) | v26(constB135) | v130(constB135, 0))),
% 28.02/18.54 inference(transitivity,[status(thm)],[16938, 16936])).
% 28.02/18.54 tff(16940,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB135) | v130(constB135, 0) | (~v127(constB135, 0)))),
% 28.02/18.54 inference(quant_inst,[status(thm)],[])).
% 28.02/18.54 tff(16941,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB135, 0)) | v26(constB135) | v130(constB135, 0)),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16940, 16939])).
% 28.02/18.54 tff(16942,plain,
% 28.02/18.54 (v130(constB135, 0)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16941, 933, 16907, 16911])).
% 28.02/18.54 tff(16943,plain,
% 28.02/18.54 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB135)) | (~v130(constB135, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB135)) | (~v130(constB135, 0)))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16944,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB135)) | (~v130(constB135, 0)))),
% 28.02/18.54 inference(quant_inst,[status(thm)],[])).
% 28.02/18.54 tff(16945,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB135)) | (~v130(constB135, 0))),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16944, 16943])).
% 28.02/18.54 tff(16946,plain,
% 28.02/18.54 (~v120(constB135)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16945, 919, 16942])).
% 28.02/18.54 tff(16947,plain,
% 28.02/18.54 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | ((~v121(constB135)) | v90(constB135, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | (~v121(constB135)) | v90(constB135, 1))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16948,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | ((~v121(constB135)) | v90(constB135, 1))),
% 28.02/18.54 inference(quant_inst,[status(thm)],[])).
% 28.02/18.54 tff(16949,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | (~v121(constB135)) | v90(constB135, 1)),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16948, 16947])).
% 28.02/18.54 tff(16950,plain,
% 28.02/18.54 (~v121(constB135)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16949, 14676, 16882])).
% 28.02/18.54 tff(16951,plain,
% 28.02/18.54 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB135)) | v90(constB135, 1))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB135)) | v90(constB135, 1))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16952,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB135)) | v90(constB135, 1))),
% 28.02/18.54 inference(quant_inst,[status(thm)],[])).
% 28.02/18.54 tff(16953,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB135)) | v90(constB135, 1)),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16952, 16951])).
% 28.02/18.54 tff(16954,plain,
% 28.02/18.54 (~v122(constB135)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16953, 14628, 16882])).
% 28.02/18.54 tff(16955,plain,
% 28.02/18.54 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB135)) | (~v130(constB135, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB135)) | (~v130(constB135, 1)))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16956,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB135)) | (~v130(constB135, 1)))),
% 28.02/18.54 inference(quant_inst,[status(thm)],[])).
% 28.02/18.54 tff(16957,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB135)) | (~v130(constB135, 1))),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16956, 16955])).
% 28.02/18.54 tff(16958,plain,
% 28.02/18.54 (~v123(constB135)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16957, 1712, 16931])).
% 28.02/18.54 tff(16959,plain,
% 28.02/18.54 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB135)) | (~v130(constB135, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB135)) | (~v130(constB135, 0)))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16960,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB135)) | (~v130(constB135, 0)))),
% 28.02/18.54 inference(quant_inst,[status(thm)],[])).
% 28.02/18.54 tff(16961,plain,
% 28.02/18.54 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB135)) | (~v130(constB135, 0))),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16960, 16959])).
% 28.02/18.54 tff(16962,plain,
% 28.02/18.54 (~v124(constB135)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16961, 1967, 16942])).
% 28.02/18.54 tff(16963,assumption,(v90(constB136, 2)), introduced(assumption)).
% 28.02/18.54 tff(16964,plain,
% 28.02/18.54 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB136, 2)) | v129(constB136, 2) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB136, 2)) | v129(constB136, 2) | (~v100(constB136)))),
% 28.02/18.54 inference(rewrite,[status(thm)],[])).
% 28.02/18.54 tff(16965,plain,
% 28.02/18.54 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB136, 2)) | v129(constB136, 2) | (~v100(constB136)))),
% 28.02/18.54 inference(quant_inst,[status(thm)],[])).
% 28.02/18.54 tff(16966,plain,
% 28.02/18.54 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB136, 2)) | v129(constB136, 2) | (~v100(constB136))),
% 28.02/18.54 inference(modus_ponens,[status(thm)],[16965, 16964])).
% 28.02/18.54 tff(16967,plain,
% 28.02/18.54 (v129(constB136, 2) | (~v100(constB136))),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16966, 488, 16963])).
% 28.02/18.54 tff(16968,plain,
% 28.02/18.54 (v129(constB136, 2)),
% 28.02/18.54 inference(unit_resolution,[status(thm)],[16967, 16893])).
% 28.02/18.55 tff(16969,plain,
% 28.02/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB135, constB136)) | v127(constB135, 2) | (~v129(constB136, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB135, constB136)) | v127(constB135, 2) | (~v129(constB136, 2)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(16970,plain,
% 28.02/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB135, constB136)) | v127(constB135, 2) | (~v129(constB136, 2)))),
% 28.02/18.55 inference(quant_inst,[status(thm)],[])).
% 28.02/18.55 tff(16971,plain,
% 28.02/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB135, constB136)) | v127(constB135, 2) | (~v129(constB136, 2))),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[16970, 16969])).
% 28.02/18.55 tff(16972,plain,
% 28.02/18.55 (v127(constB135, 2) | (~v129(constB136, 2))),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[16971, 473, 16885])).
% 28.02/18.55 tff(16973,plain,
% 28.02/18.55 (v127(constB135, 2)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[16972, 16968])).
% 28.02/18.55 tff(16974,plain,
% 28.02/18.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB135, 2)) | v26(constB135) | v130(constB135, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB135, 2)) | v26(constB135) | v130(constB135, 2))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(16975,plain,
% 28.02/18.55 ((v26(constB135) | v130(constB135, 2) | (~v127(constB135, 2))) <=> ((~v127(constB135, 2)) | v26(constB135) | v130(constB135, 2))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(16976,plain,
% 28.02/18.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB135) | v130(constB135, 2) | (~v127(constB135, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB135, 2)) | v26(constB135) | v130(constB135, 2)))),
% 28.02/18.55 inference(monotonicity,[status(thm)],[16975])).
% 28.02/18.55 tff(16977,plain,
% 28.02/18.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB135) | v130(constB135, 2) | (~v127(constB135, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB135, 2)) | v26(constB135) | v130(constB135, 2))),
% 28.02/18.55 inference(transitivity,[status(thm)],[16976, 16974])).
% 28.02/18.55 tff(16978,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB135) | v130(constB135, 2) | (~v127(constB135, 2)))),
% 28.02/18.55 inference(quant_inst,[status(thm)],[])).
% 28.02/18.55 tff(16979,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB135, 2)) | v26(constB135) | v130(constB135, 2)),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[16978, 16977])).
% 28.02/18.55 tff(16980,plain,
% 28.02/18.55 (v130(constB135, 2)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[16979, 455, 16973, 16911])).
% 28.02/18.55 tff(16981,plain,
% 28.02/18.55 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, 2)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(16982,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, 2)))),
% 28.02/18.55 inference(quant_inst,[status(thm)],[])).
% 28.02/18.55 tff(16983,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, 2))),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[16982, 16981])).
% 28.02/18.55 tff(16984,plain,
% 28.02/18.55 ($false),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[16983, 2155, 16980, 16962, 16958, 16954, 16950, 16946, 16935])).
% 28.02/18.55 tff(16985,plain,(v90(constB135, 1) | (~v90(constB136, 2)) | (~v90(constB136, 1)) | (~v90(constB136, 0))), inference(lemma,lemma(discharge,[]))).
% 28.02/18.55 tff(16986,plain,
% 28.02/18.55 (v90(constB135, 1)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[16985, 16880, 16853, 16862])).
% 28.02/18.55 tff(16987,plain,
% 28.02/18.55 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB135)) | (~v90(constB135, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB135)) | (~v90(constB135, 1)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(16988,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB135)) | (~v90(constB135, 1)))),
% 28.02/18.55 inference(quant_inst,[status(thm)],[])).
% 28.02/18.55 tff(16989,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB135)) | (~v90(constB135, 1))),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[16988, 16987])).
% 28.02/18.55 tff(16990,plain,
% 28.02/18.55 (~v124(constB135)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[16989, 2097, 16986])).
% 28.02/18.55 tff(16991,plain,
% 28.02/18.55 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB135)) | (~v90(constB135, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB135)) | (~v90(constB135, 1)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(16992,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB135)) | (~v90(constB135, 1)))),
% 28.02/18.55 inference(quant_inst,[status(thm)],[])).
% 28.02/18.55 tff(16993,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB135)) | (~v90(constB135, 1))),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[16992, 16991])).
% 28.02/18.55 tff(16994,plain,
% 28.02/18.55 (~v119(constB135)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[16993, 2086, 16986])).
% 28.02/18.55 tff(16995,plain,
% 28.02/18.55 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB135)) | (~v90(constB135, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB135)) | (~v90(constB135, 1)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(16996,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB135)) | (~v90(constB135, 1)))),
% 28.02/18.55 inference(quant_inst,[status(thm)],[])).
% 28.02/18.55 tff(16997,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB135)) | (~v90(constB135, 1))),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[16996, 16995])).
% 28.02/18.55 tff(16998,plain,
% 28.02/18.55 (~v120(constB135)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[16997, 2141, 16986])).
% 28.02/18.55 tff(16999,plain,
% 28.02/18.55 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB135)) | (~v90(constB135, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB135)) | (~v90(constB135, 1)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17000,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB135)) | (~v90(constB135, 1)))),
% 28.02/18.55 inference(quant_inst,[status(thm)],[])).
% 28.02/18.55 tff(17001,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB135)) | (~v90(constB135, 1))),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[17000, 16999])).
% 28.02/18.55 tff(17002,plain,
% 28.02/18.55 (~v123(constB135)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17001, 2108, 16986])).
% 28.02/18.55 tff(17003,assumption,(~v129(constB136, 0)), introduced(assumption)).
% 28.02/18.55 tff(17004,plain,
% 28.02/18.55 (~v100(constB136)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[16901, 17003])).
% 28.02/18.55 tff(17005,plain,
% 28.02/18.55 ((~v1(constB135)) <=> (~v1(constB135))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17006,axiom,(~v1(constB135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_135_1_1')).
% 28.02/18.55 tff(17007,plain,
% 28.02/18.55 (~v1(constB135)),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[17006, 17005])).
% 28.02/18.55 tff(17008,plain,
% 28.02/18.55 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17009,plain,
% 28.02/18.55 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))),
% 28.02/18.55 inference(quant_inst,[status(thm)],[])).
% 28.02/18.55 tff(17010,plain,
% 28.02/18.55 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136))),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[17009, 17008])).
% 28.02/18.55 tff(17011,plain,
% 28.02/18.55 (~v104(constB136)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17010, 378, 16885, 17007])).
% 28.02/18.55 tff(17012,plain,
% 28.02/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17013,plain,
% 28.02/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))),
% 28.02/18.55 inference(quant_inst,[status(thm)],[])).
% 28.02/18.55 tff(17014,plain,
% 28.02/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB135, constB136)) | v102(constB136) | v104(constB136)),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[17013, 17012])).
% 28.02/18.55 tff(17015,plain,
% 28.02/18.55 (v102(constB136) | v104(constB136)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17014, 392, 16885])).
% 28.02/18.55 tff(17016,plain,
% 28.02/18.55 (v102(constB136)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17015, 17011])).
% 28.02/18.55 tff(17017,plain,
% 28.02/18.55 (v1(constB136) <=> v1(constB136)),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17018,axiom,(v1(constB136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_136_1')).
% 28.02/18.55 tff(17019,plain,
% 28.02/18.55 (v1(constB136)),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[17018, 17017])).
% 28.02/18.55 tff(17020,plain,
% 28.02/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17021,plain,
% 28.02/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))),
% 28.02/18.55 inference(quant_inst,[status(thm)],[])).
% 28.02/18.55 tff(17022,plain,
% 28.02/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136))),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[17021, 17020])).
% 28.02/18.55 tff(17023,plain,
% 28.02/18.55 (v101(constB136) | (~v102(constB136))),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17022, 410, 16885, 17019])).
% 28.02/18.55 tff(17024,plain,
% 28.02/18.55 (v101(constB136)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17023, 17016])).
% 28.02/18.55 tff(17025,plain,
% 28.02/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17026,plain,
% 28.02/18.55 (((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136)) <=> ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17027,plain,
% 28.02/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136))))),
% 28.02/18.55 inference(monotonicity,[status(thm)],[17026])).
% 28.02/18.55 tff(17028,plain,
% 28.02/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 28.02/18.55 inference(transitivity,[status(thm)],[17027, 17025])).
% 28.02/18.55 tff(17029,plain,
% 28.02/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))),
% 28.02/18.55 inference(quant_inst,[status(thm)],[])).
% 28.02/18.55 tff(17030,plain,
% 28.02/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136))),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[17029, 17028])).
% 28.02/18.55 tff(17031,plain,
% 28.02/18.55 (v100(constB136) | (~v101(constB136)) | (~v110(constB136))),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17030, 425, 16885])).
% 28.02/18.55 tff(17032,plain,
% 28.02/18.55 (v100(constB136) | (~v110(constB136))),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17031, 17024])).
% 28.02/18.55 tff(17033,plain,
% 28.02/18.55 (~v110(constB136)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17032, 17004])).
% 28.02/18.55 tff(17034,plain,
% 28.02/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17035,plain,
% 28.02/18.55 (((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136)) <=> ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17036,plain,
% 28.02/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135))))),
% 28.02/18.55 inference(monotonicity,[status(thm)],[17035])).
% 28.02/18.55 tff(17037,plain,
% 28.02/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 28.02/18.55 inference(transitivity,[status(thm)],[17036, 17034])).
% 28.02/18.55 tff(17038,plain,
% 28.02/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))),
% 28.02/18.55 inference(quant_inst,[status(thm)],[])).
% 28.02/18.55 tff(17039,plain,
% 28.02/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135))),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[17038, 17037])).
% 28.02/18.55 tff(17040,plain,
% 28.02/18.55 (v110(constB136) | (~v108(constB135))),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17039, 360, 16885])).
% 28.02/18.55 tff(17041,plain,
% 28.02/18.55 (~v108(constB135)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17040, 17033])).
% 28.02/18.55 tff(17042,plain,
% 28.02/18.55 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB135) | (~v26(constB135)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB135) | (~v26(constB135)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17043,plain,
% 28.02/18.55 (((~v26(constB135)) | v108(constB135)) <=> (v108(constB135) | (~v26(constB135)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17044,plain,
% 28.02/18.55 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB135)) | v108(constB135))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB135) | (~v26(constB135))))),
% 28.02/18.55 inference(monotonicity,[status(thm)],[17043])).
% 28.02/18.55 tff(17045,plain,
% 28.02/18.55 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB135)) | v108(constB135))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB135) | (~v26(constB135)))),
% 28.02/18.55 inference(transitivity,[status(thm)],[17044, 17042])).
% 28.02/18.55 tff(17046,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB135)) | v108(constB135))),
% 28.02/18.55 inference(quant_inst,[status(thm)],[])).
% 28.02/18.55 tff(17047,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB135) | (~v26(constB135))),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[17046, 17045])).
% 28.02/18.55 tff(17048,plain,
% 28.02/18.55 (~v26(constB135)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17047, 6750, 17041])).
% 28.02/18.55 tff(17049,plain,
% 28.02/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB135, 0) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB135, 0) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 0)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17050,plain,
% 28.02/18.55 (((~nextState(constB135, constB136)) | v90(constB135, 0) | v100(constB136) | (~v90(constB136, 0))) <=> (v90(constB135, 0) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 0)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17051,plain,
% 28.02/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB135, constB136)) | v90(constB135, 0) | v100(constB136) | (~v90(constB136, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB135, 0) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 0))))),
% 28.02/18.55 inference(monotonicity,[status(thm)],[17050])).
% 28.02/18.55 tff(17052,plain,
% 28.02/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB135, constB136)) | v90(constB135, 0) | v100(constB136) | (~v90(constB136, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB135, 0) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 0)))),
% 28.02/18.55 inference(transitivity,[status(thm)],[17051, 17049])).
% 28.02/18.55 tff(17053,plain,
% 28.02/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB135, constB136)) | v90(constB135, 0) | v100(constB136) | (~v90(constB136, 0)))),
% 28.02/18.55 inference(quant_inst,[status(thm)],[])).
% 28.02/18.55 tff(17054,plain,
% 28.02/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB135, 0) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 0))),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[17053, 17052])).
% 28.02/18.55 tff(17055,plain,
% 28.02/18.55 (v90(constB135, 0) | v100(constB136) | (~v90(constB136, 0))),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17054, 212, 16885])).
% 28.02/18.55 tff(17056,plain,
% 28.02/18.55 (v90(constB135, 0)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17055, 17004, 16894])).
% 28.02/18.55 tff(17057,plain,
% 28.02/18.55 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB135)) | (~v90(constB135, 0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB135)) | (~v90(constB135, 0)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17058,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB135)) | (~v90(constB135, 0)))),
% 28.02/18.55 inference(quant_inst,[status(thm)],[])).
% 28.02/18.55 tff(17059,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB135)) | (~v90(constB135, 0))),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[17058, 17057])).
% 28.02/18.55 tff(17060,plain,
% 28.02/18.55 (~v121(constB135)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17059, 4513, 17056])).
% 28.02/18.55 tff(17061,plain,
% 28.02/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB135, 2) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB135, 2) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 2)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17062,plain,
% 28.02/18.55 (((~nextState(constB135, constB136)) | v90(constB135, 2) | v100(constB136) | (~v90(constB136, 2))) <=> (v90(constB135, 2) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 2)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17063,plain,
% 28.02/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB135, constB136)) | v90(constB135, 2) | v100(constB136) | (~v90(constB136, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB135, 2) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 2))))),
% 28.02/18.55 inference(monotonicity,[status(thm)],[17062])).
% 28.02/18.55 tff(17064,plain,
% 28.02/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB135, constB136)) | v90(constB135, 2) | v100(constB136) | (~v90(constB136, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB135, 2) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 2)))),
% 28.02/18.55 inference(transitivity,[status(thm)],[17063, 17061])).
% 28.02/18.55 tff(17065,plain,
% 28.02/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB135, constB136)) | v90(constB135, 2) | v100(constB136) | (~v90(constB136, 2)))),
% 28.02/18.55 inference(quant_inst,[status(thm)],[])).
% 28.02/18.55 tff(17066,plain,
% 28.02/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB135, 2) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 2))),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[17065, 17064])).
% 28.02/18.55 tff(17067,plain,
% 28.02/18.55 (v90(constB135, 2) | v100(constB136) | (~v90(constB136, 2))),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17066, 170, 16885])).
% 28.02/18.55 tff(17068,plain,
% 28.02/18.55 (v90(constB135, 2)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17067, 17004, 16963])).
% 28.02/18.55 tff(17069,plain,
% 28.02/18.55 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB135)) | (~v90(constB135, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB135)) | (~v90(constB135, 2)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17070,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB135)) | (~v90(constB135, 2)))),
% 28.02/18.55 inference(quant_inst,[status(thm)],[])).
% 28.02/18.55 tff(17071,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB135)) | (~v90(constB135, 2))),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[17070, 17069])).
% 28.02/18.55 tff(17072,plain,
% 28.02/18.55 (~v122(constB135)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17071, 2119, 17068])).
% 28.02/18.55 tff(17073,assumption,(~v119(constB135)), introduced(assumption)).
% 28.02/18.55 tff(17074,assumption,(~v120(constB135)), introduced(assumption)).
% 28.02/18.55 tff(17075,assumption,(~v123(constB135)), introduced(assumption)).
% 28.02/18.55 tff(17076,assumption,(~v124(constB135)), introduced(assumption)).
% 28.02/18.55 tff(17077,plain,
% 28.02/18.55 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | v130(constB135, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | v130(constB135, 0))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17078,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | v130(constB135, 0))),
% 28.02/18.55 inference(quant_inst,[status(thm)],[])).
% 28.02/18.55 tff(17079,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | v130(constB135, 0)),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[17078, 17077])).
% 28.02/18.55 tff(17080,plain,
% 28.02/18.55 (v121(constB135) | v122(constB135) | v130(constB135, 0)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17079, 2258, 17076, 17075, 17074, 17073])).
% 28.02/18.55 tff(17081,plain,
% 28.02/18.55 (v130(constB135, 0)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17080, 17072, 17060])).
% 28.02/18.55 tff(17082,plain,
% 28.02/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB135, constB136)) | (~v127(constB135, 0)) | v129(constB136, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB135, constB136)) | (~v127(constB135, 0)) | v129(constB136, 0))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17083,plain,
% 28.02/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB135, constB136)) | (~v127(constB135, 0)) | v129(constB136, 0))),
% 28.02/18.55 inference(quant_inst,[status(thm)],[])).
% 28.02/18.55 tff(17084,plain,
% 28.02/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB135, constB136)) | (~v127(constB135, 0)) | v129(constB136, 0)),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[17083, 17082])).
% 28.02/18.55 tff(17085,plain,
% 28.02/18.55 ((~v127(constB135, 0)) | v129(constB136, 0)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17084, 627, 16885])).
% 28.02/18.55 tff(17086,plain,
% 28.02/18.55 (~v127(constB135, 0)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17085, 17003])).
% 28.02/18.55 tff(17087,plain,
% 28.02/18.55 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB135) | (~v130(constB135, 0)) | v127(constB135, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB135) | (~v130(constB135, 0)) | v127(constB135, 0))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17088,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB135) | (~v130(constB135, 0)) | v127(constB135, 0))),
% 28.02/18.55 inference(quant_inst,[status(thm)],[])).
% 28.02/18.55 tff(17089,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB135) | (~v130(constB135, 0)) | v127(constB135, 0)),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[17088, 17087])).
% 28.02/18.55 tff(17090,plain,
% 28.02/18.55 (v26(constB135) | (~v130(constB135, 0))),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17089, 612, 17086])).
% 28.02/18.55 tff(17091,plain,
% 28.02/18.55 ($false),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17090, 17081, 17048])).
% 28.02/18.55 tff(17092,plain,(v129(constB136, 0) | v124(constB135) | v123(constB135) | v120(constB135) | v119(constB135) | (~v90(constB136, 2)) | (~v90(constB136, 0))), inference(lemma,lemma(discharge,[]))).
% 28.02/18.55 tff(17093,plain,
% 28.02/18.55 (v129(constB136, 0)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17092, 17002, 16862, 16998, 16994, 16853, 16990])).
% 28.02/18.55 tff(17094,plain,
% 28.02/18.55 (v127(constB135, 0)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[16906, 17093])).
% 28.02/18.55 tff(17095,plain,
% 28.02/18.55 (~v26(constB135)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[16910, 1370, 17094])).
% 28.02/18.55 tff(17096,plain,
% 28.02/18.55 (v130(constB135, 0)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[16941, 933, 17094, 17095])).
% 28.02/18.55 tff(17097,plain,
% 28.02/18.55 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB135)) | (~v130(constB135, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB135)) | (~v130(constB135, 0)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17098,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB135)) | (~v130(constB135, 0)))),
% 28.02/18.55 inference(quant_inst,[status(thm)],[])).
% 28.02/18.55 tff(17099,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB135)) | (~v130(constB135, 0))),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[17098, 17097])).
% 28.02/18.55 tff(17100,plain,
% 28.02/18.55 (~v122(constB135)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17099, 1351, 17096])).
% 28.02/18.55 tff(17101,assumption,(v100(constB136)), introduced(assumption)).
% 28.02/18.55 tff(17102,plain,
% 28.02/18.55 (v129(constB136, 2)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[16967, 17101])).
% 28.02/18.55 tff(17103,plain,
% 28.02/18.55 (v127(constB135, 2)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[16972, 17102])).
% 28.02/18.55 tff(17104,assumption,(~v26(constB135)), introduced(assumption)).
% 28.02/18.55 tff(17105,plain,
% 28.02/18.55 ((~v127(constB135, 2)) | v130(constB135, 2)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[16979, 455, 17104])).
% 28.02/18.55 tff(17106,plain,
% 28.02/18.55 (v130(constB135, 2)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17105, 17103])).
% 28.02/18.55 tff(17107,assumption,(~v122(constB135)), introduced(assumption)).
% 28.02/18.55 tff(17108,plain,
% 28.02/18.55 (v129(constB136, 1)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[16918, 17101])).
% 28.02/18.55 tff(17109,plain,
% 28.02/18.55 (v127(constB135, 1)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[16923, 17108])).
% 28.02/18.55 tff(17110,plain,
% 28.02/18.55 ((~v127(constB135, 1)) | v130(constB135, 1)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[16930, 541, 17104])).
% 28.02/18.55 tff(17111,plain,
% 28.02/18.55 (v130(constB135, 1)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17110, 17109])).
% 28.02/18.55 tff(17112,plain,
% 28.02/18.55 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, 1)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17113,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, 1)))),
% 28.02/18.55 inference(quant_inst,[status(thm)],[])).
% 28.02/18.55 tff(17114,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, 1))),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[17113, 17112])).
% 28.02/18.55 tff(17115,plain,
% 28.02/18.55 (v121(constB135) | v122(constB135) | (~v130(constB135, 1))),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17114, 2214, 17076, 17075, 17074, 17073])).
% 28.02/18.55 tff(17116,plain,
% 28.02/18.55 (v121(constB135)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17115, 17111, 17107])).
% 28.02/18.55 tff(17117,plain,
% 28.02/18.55 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB135)) | (~v130(constB135, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB135)) | (~v130(constB135, 2)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17118,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB135)) | (~v130(constB135, 2)))),
% 28.02/18.55 inference(quant_inst,[status(thm)],[])).
% 28.02/18.55 tff(17119,plain,
% 28.02/18.55 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB135)) | (~v130(constB135, 2))),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[17118, 17117])).
% 28.02/18.55 tff(17120,plain,
% 28.02/18.55 ($false),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17119, 1155, 17116, 17106])).
% 28.02/18.55 tff(17121,plain,((~v100(constB136)) | v122(constB135) | v124(constB135) | v123(constB135) | v120(constB135) | v119(constB135) | v26(constB135) | (~v90(constB136, 2)) | (~v90(constB136, 1))), inference(lemma,lemma(discharge,[]))).
% 28.02/18.55 tff(17122,plain,
% 28.02/18.55 (~v100(constB136)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17121, 17100, 16880, 17002, 16998, 16994, 16990, 16853, 17095])).
% 28.02/18.55 tff(17123,plain,
% 28.02/18.55 (v90(constB135, 2)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17067, 17122, 16853])).
% 28.02/18.55 tff(17124,plain,
% 28.02/18.55 (nextState(constB134, constB135) <=> nextState(constB134, constB135)),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17125,axiom,(nextState(constB134, constB135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_134_1')).
% 28.02/18.55 tff(17126,plain,
% 28.02/18.55 (nextState(constB134, constB135)),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[17125, 17124])).
% 28.02/18.55 tff(17127,plain,
% 28.02/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17128,plain,
% 28.02/18.55 (((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135)) <=> (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17129,plain,
% 28.02/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135))))),
% 28.02/18.55 inference(monotonicity,[status(thm)],[17128])).
% 28.02/18.55 tff(17130,plain,
% 28.02/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 28.02/18.55 inference(transitivity,[status(thm)],[17129, 17127])).
% 28.02/18.55 tff(17131,plain,
% 28.02/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))),
% 28.02/18.55 inference(quant_inst,[status(thm)],[])).
% 28.02/18.55 tff(17132,plain,
% 28.02/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135))),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[17131, 17130])).
% 28.02/18.55 tff(17133,plain,
% 28.02/18.55 (~v101(constB135)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17132, 138, 17126, 17007])).
% 28.02/18.55 tff(17134,plain,
% 28.02/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17135,plain,
% 28.02/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))),
% 28.02/18.55 inference(quant_inst,[status(thm)],[])).
% 28.02/18.55 tff(17136,plain,
% 28.02/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135))),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[17135, 17134])).
% 28.02/18.55 tff(17137,plain,
% 28.02/18.55 (v101(constB135) | (~v100(constB135))),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17136, 155, 17126])).
% 28.02/18.55 tff(17138,plain,
% 28.02/18.55 (~v100(constB135)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17137, 17133])).
% 28.02/18.55 tff(17139,plain,
% 28.02/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB134, 2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB134, 2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 2)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17140,plain,
% 28.02/18.55 (((~nextState(constB134, constB135)) | v90(constB134, 2) | v100(constB135) | (~v90(constB135, 2))) <=> (v90(constB134, 2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 2)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17141,plain,
% 28.02/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB134, constB135)) | v90(constB134, 2) | v100(constB135) | (~v90(constB135, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB134, 2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 2))))),
% 28.02/18.55 inference(monotonicity,[status(thm)],[17140])).
% 28.02/18.55 tff(17142,plain,
% 28.02/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB134, constB135)) | v90(constB134, 2) | v100(constB135) | (~v90(constB135, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB134, 2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 2)))),
% 28.02/18.55 inference(transitivity,[status(thm)],[17141, 17139])).
% 28.02/18.55 tff(17143,plain,
% 28.02/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB134, constB135)) | v90(constB134, 2) | v100(constB135) | (~v90(constB135, 2)))),
% 28.02/18.55 inference(quant_inst,[status(thm)],[])).
% 28.02/18.55 tff(17144,plain,
% 28.02/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB134, 2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 2))),
% 28.02/18.55 inference(modus_ponens,[status(thm)],[17143, 17142])).
% 28.02/18.55 tff(17145,plain,
% 28.02/18.55 (v90(constB134, 2) | v100(constB135) | (~v90(constB135, 2))),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17144, 170, 17126])).
% 28.02/18.55 tff(17146,plain,
% 28.02/18.55 (v90(constB134, 2) | (~v90(constB135, 2))),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17145, 17138])).
% 28.02/18.55 tff(17147,plain,
% 28.02/18.55 (v90(constB134, 2)),
% 28.02/18.55 inference(unit_resolution,[status(thm)],[17146, 17123])).
% 28.02/18.55 tff(17148,plain,
% 28.02/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB134, 1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB134, 1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 1)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17149,plain,
% 28.02/18.55 (((~nextState(constB134, constB135)) | v90(constB134, 1) | v100(constB135) | (~v90(constB135, 1))) <=> (v90(constB134, 1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 1)))),
% 28.02/18.55 inference(rewrite,[status(thm)],[])).
% 28.02/18.55 tff(17150,plain,
% 28.02/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB134, constB135)) | v90(constB134, 1) | v100(constB135) | (~v90(constB135, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB134, 1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 1))))),
% 28.02/18.55 inference(monotonicity,[status(thm)],[17149])).
% 28.02/18.55 tff(17151,plain,
% 28.02/18.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB134, constB135)) | v90(constB134, 1) | v100(constB135) | (~v90(constB135, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB134, 1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 1)))),
% 28.02/18.55 inference(transitivity,[status(thm)],[17150, 17148])).
% 28.02/18.55 tff(17152,plain,
% 28.02/18.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB134, constB135)) | v90(constB134, 1) | v100(constB135) | (~v90(constB135, 1)))),
% 28.02/18.56 inference(quant_inst,[status(thm)],[])).
% 28.02/18.56 tff(17153,plain,
% 28.02/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB134, 1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 1))),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17152, 17151])).
% 28.02/18.56 tff(17154,plain,
% 28.02/18.56 (v90(constB134, 1) | v100(constB135) | (~v90(constB135, 1))),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17153, 191, 17126])).
% 28.02/18.56 tff(17155,plain,
% 28.02/18.56 (v90(constB134, 1) | (~v90(constB135, 1))),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17154, 17138])).
% 28.02/18.56 tff(17156,plain,
% 28.02/18.56 (v90(constB134, 1)),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17155, 16986])).
% 28.02/18.56 tff(17157,plain,
% 28.02/18.56 (v90(constB135, 0)),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17055, 17122, 16862])).
% 28.02/18.56 tff(17158,plain,
% 28.02/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB134, 0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB134, 0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 0)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17159,plain,
% 28.02/18.56 (((~nextState(constB134, constB135)) | v90(constB134, 0) | v100(constB135) | (~v90(constB135, 0))) <=> (v90(constB134, 0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 0)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17160,plain,
% 28.02/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB134, constB135)) | v90(constB134, 0) | v100(constB135) | (~v90(constB135, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB134, 0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 0))))),
% 28.02/18.56 inference(monotonicity,[status(thm)],[17159])).
% 28.02/18.56 tff(17161,plain,
% 28.02/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB134, constB135)) | v90(constB134, 0) | v100(constB135) | (~v90(constB135, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB134, 0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 0)))),
% 28.02/18.56 inference(transitivity,[status(thm)],[17160, 17158])).
% 28.02/18.56 tff(17162,plain,
% 28.02/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB134, constB135)) | v90(constB134, 0) | v100(constB135) | (~v90(constB135, 0)))),
% 28.02/18.56 inference(quant_inst,[status(thm)],[])).
% 28.02/18.56 tff(17163,plain,
% 28.02/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB134, 0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 0))),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17162, 17161])).
% 28.02/18.56 tff(17164,plain,
% 28.02/18.56 (v90(constB134, 0) | v100(constB135) | (~v90(constB135, 0))),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17163, 212, 17126])).
% 28.02/18.56 tff(17165,plain,
% 28.02/18.56 (v90(constB134, 0) | (~v90(constB135, 0))),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17164, 17138])).
% 28.02/18.56 tff(17166,plain,
% 28.02/18.56 (v90(constB134, 0)),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17165, 17157])).
% 28.02/18.56 tff(17167,assumption,(v100(constB134)), introduced(assumption)).
% 28.02/18.56 tff(17168,assumption,(v90(constB134, 1)), introduced(assumption)).
% 28.02/18.56 tff(17169,plain,
% 28.02/18.56 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB134, 1)) | v129(constB134, 1) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB134, 1)) | v129(constB134, 1) | (~v100(constB134)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17170,plain,
% 28.02/18.56 (((~v90(constB134, 1)) | (~v100(constB134)) | v129(constB134, 1)) <=> ((~v90(constB134, 1)) | v129(constB134, 1) | (~v100(constB134)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17171,plain,
% 28.02/18.56 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB134, 1)) | (~v100(constB134)) | v129(constB134, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB134, 1)) | v129(constB134, 1) | (~v100(constB134))))),
% 28.02/18.56 inference(monotonicity,[status(thm)],[17170])).
% 28.02/18.56 tff(17172,plain,
% 28.02/18.56 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB134, 1)) | (~v100(constB134)) | v129(constB134, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB134, 1)) | v129(constB134, 1) | (~v100(constB134)))),
% 28.02/18.56 inference(transitivity,[status(thm)],[17171, 17169])).
% 28.02/18.56 tff(17173,plain,
% 28.02/18.56 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB134, 1)) | (~v100(constB134)) | v129(constB134, 1))),
% 28.02/18.56 inference(quant_inst,[status(thm)],[])).
% 28.02/18.56 tff(17174,plain,
% 28.02/18.56 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB134, 1)) | v129(constB134, 1) | (~v100(constB134))),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17173, 17172])).
% 28.02/18.56 tff(17175,plain,
% 28.02/18.56 (v129(constB134, 1) | (~v100(constB134))),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17174, 574, 17168])).
% 28.02/18.56 tff(17176,plain,
% 28.02/18.56 (v129(constB134, 1)),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17175, 17167])).
% 28.02/18.56 tff(17177,plain,
% 28.02/18.56 (nextState(constB133, constB134) <=> nextState(constB133, constB134)),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17178,axiom,(nextState(constB133, constB134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_133_1')).
% 28.02/18.56 tff(17179,plain,
% 28.02/18.56 (nextState(constB133, constB134)),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17178, 17177])).
% 28.02/18.56 tff(17180,plain,
% 28.02/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB133, constB134)) | v127(constB133, 1) | (~v129(constB134, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB133, constB134)) | v127(constB133, 1) | (~v129(constB134, 1)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17181,plain,
% 28.02/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB133, constB134)) | v127(constB133, 1) | (~v129(constB134, 1)))),
% 28.02/18.56 inference(quant_inst,[status(thm)],[])).
% 28.02/18.56 tff(17182,plain,
% 28.02/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB133, constB134)) | v127(constB133, 1) | (~v129(constB134, 1))),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17181, 17180])).
% 28.02/18.56 tff(17183,plain,
% 28.02/18.56 (v127(constB133, 1) | (~v129(constB134, 1))),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17182, 559, 17179])).
% 28.02/18.56 tff(17184,plain,
% 28.02/18.56 (v127(constB133, 1)),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17183, 17176])).
% 28.02/18.56 tff(17185,plain,
% 28.02/18.56 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | ((~v26(constB133)) | (~v127(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | (~v26(constB133)) | (~v127(constB133, 1)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17186,plain,
% 28.02/18.56 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | ((~v26(constB133)) | (~v127(constB133, 1)))),
% 28.02/18.56 inference(quant_inst,[status(thm)],[])).
% 28.02/18.56 tff(17187,plain,
% 28.02/18.56 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | (~v26(constB133)) | (~v127(constB133, 1))),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17186, 17185])).
% 28.02/18.56 tff(17188,plain,
% 28.02/18.56 (~v26(constB133)),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17187, 5538, 17184])).
% 28.02/18.56 tff(17189,assumption,(v90(constB134, 0)), introduced(assumption)).
% 28.02/18.56 tff(17190,plain,
% 28.02/18.56 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB134, 0)) | v129(constB134, 0) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB134, 0)) | v129(constB134, 0) | (~v100(constB134)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17191,plain,
% 28.02/18.56 (((~v90(constB134, 0)) | (~v100(constB134)) | v129(constB134, 0)) <=> ((~v90(constB134, 0)) | v129(constB134, 0) | (~v100(constB134)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17192,plain,
% 28.02/18.56 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB134, 0)) | (~v100(constB134)) | v129(constB134, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB134, 0)) | v129(constB134, 0) | (~v100(constB134))))),
% 28.02/18.56 inference(monotonicity,[status(thm)],[17191])).
% 28.02/18.56 tff(17193,plain,
% 28.02/18.56 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB134, 0)) | (~v100(constB134)) | v129(constB134, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB134, 0)) | v129(constB134, 0) | (~v100(constB134)))),
% 28.02/18.56 inference(transitivity,[status(thm)],[17192, 17190])).
% 28.02/18.56 tff(17194,plain,
% 28.02/18.56 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB134, 0)) | (~v100(constB134)) | v129(constB134, 0))),
% 28.02/18.56 inference(quant_inst,[status(thm)],[])).
% 28.02/18.56 tff(17195,plain,
% 28.02/18.56 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB134, 0)) | v129(constB134, 0) | (~v100(constB134))),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17194, 17193])).
% 28.02/18.56 tff(17196,plain,
% 28.02/18.56 (v129(constB134, 0) | (~v100(constB134))),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17195, 966, 17189])).
% 28.02/18.56 tff(17197,plain,
% 28.02/18.56 (v129(constB134, 0)),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17196, 17167])).
% 28.02/18.56 tff(17198,plain,
% 28.02/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB133, constB134)) | v127(constB133, 0) | (~v129(constB134, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB133, constB134)) | v127(constB133, 0) | (~v129(constB134, 0)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17199,plain,
% 28.02/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB133, constB134)) | v127(constB133, 0) | (~v129(constB134, 0)))),
% 28.02/18.56 inference(quant_inst,[status(thm)],[])).
% 28.02/18.56 tff(17200,plain,
% 28.02/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB133, constB134)) | v127(constB133, 0) | (~v129(constB134, 0))),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17199, 17198])).
% 28.02/18.56 tff(17201,plain,
% 28.02/18.56 (v127(constB133, 0) | (~v129(constB134, 0))),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17200, 951, 17179])).
% 28.02/18.56 tff(17202,plain,
% 28.02/18.56 (v127(constB133, 0)),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17201, 17197])).
% 28.02/18.56 tff(17203,plain,
% 28.02/18.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB133, 0)) | v26(constB133) | v130(constB133, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB133, 0)) | v26(constB133) | v130(constB133, 0))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17204,plain,
% 28.02/18.56 ((v26(constB133) | v130(constB133, 0) | (~v127(constB133, 0))) <=> ((~v127(constB133, 0)) | v26(constB133) | v130(constB133, 0))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17205,plain,
% 28.02/18.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB133) | v130(constB133, 0) | (~v127(constB133, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB133, 0)) | v26(constB133) | v130(constB133, 0)))),
% 28.02/18.56 inference(monotonicity,[status(thm)],[17204])).
% 28.02/18.56 tff(17206,plain,
% 28.02/18.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB133) | v130(constB133, 0) | (~v127(constB133, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB133, 0)) | v26(constB133) | v130(constB133, 0))),
% 28.02/18.56 inference(transitivity,[status(thm)],[17205, 17203])).
% 28.02/18.56 tff(17207,plain,
% 28.02/18.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB133) | v130(constB133, 0) | (~v127(constB133, 0)))),
% 28.02/18.56 inference(quant_inst,[status(thm)],[])).
% 28.02/18.56 tff(17208,plain,
% 28.02/18.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB133, 0)) | v26(constB133) | v130(constB133, 0)),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17207, 17206])).
% 28.02/18.56 tff(17209,plain,
% 28.02/18.56 (v130(constB133, 0)),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17208, 933, 17202, 17188])).
% 28.02/18.56 tff(17210,plain,
% 28.02/18.56 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB133)) | (~v130(constB133, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB133)) | (~v130(constB133, 0)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17211,plain,
% 28.02/18.56 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB133)) | (~v130(constB133, 0)))),
% 28.02/18.56 inference(quant_inst,[status(thm)],[])).
% 28.02/18.56 tff(17212,plain,
% 28.02/18.56 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB133)) | (~v130(constB133, 0))),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17211, 17210])).
% 28.02/18.56 tff(17213,plain,
% 28.02/18.56 (~v124(constB133)),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17212, 1967, 17209])).
% 28.02/18.56 tff(17214,plain,
% 28.02/18.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB133, 1)) | v26(constB133) | v130(constB133, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB133, 1)) | v26(constB133) | v130(constB133, 1))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17215,plain,
% 28.02/18.56 ((v26(constB133) | v130(constB133, 1) | (~v127(constB133, 1))) <=> ((~v127(constB133, 1)) | v26(constB133) | v130(constB133, 1))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17216,plain,
% 28.02/18.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB133) | v130(constB133, 1) | (~v127(constB133, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB133, 1)) | v26(constB133) | v130(constB133, 1)))),
% 28.02/18.56 inference(monotonicity,[status(thm)],[17215])).
% 28.02/18.56 tff(17217,plain,
% 28.02/18.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB133) | v130(constB133, 1) | (~v127(constB133, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB133, 1)) | v26(constB133) | v130(constB133, 1))),
% 28.02/18.56 inference(transitivity,[status(thm)],[17216, 17214])).
% 28.02/18.56 tff(17218,plain,
% 28.02/18.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB133) | v130(constB133, 1) | (~v127(constB133, 1)))),
% 28.02/18.56 inference(quant_inst,[status(thm)],[])).
% 28.02/18.56 tff(17219,plain,
% 28.02/18.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB133, 1)) | v26(constB133) | v130(constB133, 1)),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17218, 17217])).
% 28.02/18.56 tff(17220,plain,
% 28.02/18.56 (v130(constB133, 1)),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17219, 541, 17184, 17188])).
% 28.02/18.56 tff(17221,plain,
% 28.02/18.56 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB133)) | (~v130(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB133)) | (~v130(constB133, 1)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17222,plain,
% 28.02/18.56 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB133)) | (~v130(constB133, 1)))),
% 28.02/18.56 inference(quant_inst,[status(thm)],[])).
% 28.02/18.56 tff(17223,plain,
% 28.02/18.56 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB133)) | (~v130(constB133, 1))),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17222, 17221])).
% 28.02/18.56 tff(17224,plain,
% 28.02/18.56 (~v123(constB133)),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17223, 1712, 17220])).
% 28.02/18.56 tff(17225,plain,
% 28.02/18.56 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB133)) | (~v130(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB133)) | (~v130(constB133, 1)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17226,plain,
% 28.02/18.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB133)) | (~v130(constB133, 1)))),
% 28.02/18.56 inference(quant_inst,[status(thm)],[])).
% 28.02/18.56 tff(17227,plain,
% 28.02/18.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB133)) | (~v130(constB133, 1))),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17226, 17225])).
% 28.02/18.56 tff(17228,plain,
% 28.02/18.56 (~v122(constB133)),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17227, 1424, 17220])).
% 28.02/18.56 tff(17229,plain,
% 28.02/18.56 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB133)) | (~v130(constB133, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB133)) | (~v130(constB133, 0)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17230,plain,
% 28.02/18.56 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB133)) | (~v130(constB133, 0)))),
% 28.02/18.56 inference(quant_inst,[status(thm)],[])).
% 28.02/18.56 tff(17231,plain,
% 28.02/18.56 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB133)) | (~v130(constB133, 0))),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17230, 17229])).
% 28.02/18.56 tff(17232,plain,
% 28.02/18.56 (~v120(constB133)),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17231, 919, 17209])).
% 28.02/18.56 tff(17233,plain,
% 28.02/18.56 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB133)) | (~v130(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB133)) | (~v130(constB133, 1)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17234,plain,
% 28.02/18.56 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB133)) | (~v130(constB133, 1)))),
% 28.02/18.56 inference(quant_inst,[status(thm)],[])).
% 28.02/18.56 tff(17235,plain,
% 28.02/18.56 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB133)) | (~v130(constB133, 1))),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17234, 17233])).
% 28.02/18.56 tff(17236,plain,
% 28.02/18.56 (~v119(constB133)),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17235, 527, 17220])).
% 28.02/18.56 tff(17237,assumption,(v90(constB134, 2)), introduced(assumption)).
% 28.02/18.56 tff(17238,plain,
% 28.02/18.56 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB134, 2)) | v129(constB134, 2) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB134, 2)) | v129(constB134, 2) | (~v100(constB134)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17239,plain,
% 28.02/18.56 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB134, 2)) | v129(constB134, 2) | (~v100(constB134)))),
% 28.02/18.56 inference(quant_inst,[status(thm)],[])).
% 28.02/18.56 tff(17240,plain,
% 28.02/18.56 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB134, 2)) | v129(constB134, 2) | (~v100(constB134))),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17239, 17238])).
% 28.02/18.56 tff(17241,plain,
% 28.02/18.56 (v129(constB134, 2) | (~v100(constB134))),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17240, 488, 17237])).
% 28.02/18.56 tff(17242,plain,
% 28.02/18.56 (v129(constB134, 2)),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17241, 17167])).
% 28.02/18.56 tff(17243,plain,
% 28.02/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB133, constB134)) | v127(constB133, 2) | (~v129(constB134, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB133, constB134)) | v127(constB133, 2) | (~v129(constB134, 2)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17244,plain,
% 28.02/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB133, constB134)) | v127(constB133, 2) | (~v129(constB134, 2)))),
% 28.02/18.56 inference(quant_inst,[status(thm)],[])).
% 28.02/18.56 tff(17245,plain,
% 28.02/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB133, constB134)) | v127(constB133, 2) | (~v129(constB134, 2))),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17244, 17243])).
% 28.02/18.56 tff(17246,plain,
% 28.02/18.56 (v127(constB133, 2) | (~v129(constB134, 2))),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17245, 473, 17179])).
% 28.02/18.56 tff(17247,plain,
% 28.02/18.56 (v127(constB133, 2)),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17246, 17242])).
% 28.02/18.56 tff(17248,plain,
% 28.02/18.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB133, 2)) | v26(constB133) | v130(constB133, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB133, 2)) | v26(constB133) | v130(constB133, 2))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17249,plain,
% 28.02/18.56 ((v26(constB133) | v130(constB133, 2) | (~v127(constB133, 2))) <=> ((~v127(constB133, 2)) | v26(constB133) | v130(constB133, 2))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17250,plain,
% 28.02/18.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB133) | v130(constB133, 2) | (~v127(constB133, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB133, 2)) | v26(constB133) | v130(constB133, 2)))),
% 28.02/18.56 inference(monotonicity,[status(thm)],[17249])).
% 28.02/18.56 tff(17251,plain,
% 28.02/18.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB133) | v130(constB133, 2) | (~v127(constB133, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB133, 2)) | v26(constB133) | v130(constB133, 2))),
% 28.02/18.56 inference(transitivity,[status(thm)],[17250, 17248])).
% 28.02/18.56 tff(17252,plain,
% 28.02/18.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB133) | v130(constB133, 2) | (~v127(constB133, 2)))),
% 28.02/18.56 inference(quant_inst,[status(thm)],[])).
% 28.02/18.56 tff(17253,plain,
% 28.02/18.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB133, 2)) | v26(constB133) | v130(constB133, 2)),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17252, 17251])).
% 28.02/18.56 tff(17254,plain,
% 28.02/18.56 (v130(constB133, 2)),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17253, 455, 17247, 17188])).
% 28.02/18.56 tff(17255,plain,
% 28.02/18.56 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 2)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17256,plain,
% 28.02/18.56 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 2)))),
% 28.02/18.56 inference(quant_inst,[status(thm)],[])).
% 28.02/18.56 tff(17257,plain,
% 28.02/18.56 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 2))),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17256, 17255])).
% 28.02/18.56 tff(17258,plain,
% 28.02/18.56 (v121(constB133)),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17257, 2155, 17254, 17236, 17232, 17228, 17224, 17213])).
% 28.02/18.56 tff(17259,plain,
% 28.02/18.56 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB133)) | (~v130(constB133, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB133)) | (~v130(constB133, 2)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17260,plain,
% 28.02/18.56 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB133)) | (~v130(constB133, 2)))),
% 28.02/18.56 inference(quant_inst,[status(thm)],[])).
% 28.02/18.56 tff(17261,plain,
% 28.02/18.56 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB133)) | (~v130(constB133, 2))),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17260, 17259])).
% 28.02/18.56 tff(17262,plain,
% 28.02/18.56 ($false),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17261, 1155, 17254, 17258])).
% 28.02/18.56 tff(17263,plain,((~v100(constB134)) | (~v90(constB134, 2)) | (~v90(constB134, 0)) | (~v90(constB134, 1))), inference(lemma,lemma(discharge,[]))).
% 28.02/18.56 tff(17264,plain,
% 28.02/18.56 (~v100(constB134)),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17263, 17147, 17166, 17156])).
% 28.02/18.56 tff(17265,plain,
% 28.02/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB133, 2) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB133, 2) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 2)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17266,plain,
% 28.02/18.56 (((~nextState(constB133, constB134)) | v90(constB133, 2) | v100(constB134) | (~v90(constB134, 2))) <=> (v90(constB133, 2) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 2)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17267,plain,
% 28.02/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB133, constB134)) | v90(constB133, 2) | v100(constB134) | (~v90(constB134, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB133, 2) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 2))))),
% 28.02/18.56 inference(monotonicity,[status(thm)],[17266])).
% 28.02/18.56 tff(17268,plain,
% 28.02/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB133, constB134)) | v90(constB133, 2) | v100(constB134) | (~v90(constB134, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB133, 2) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 2)))),
% 28.02/18.56 inference(transitivity,[status(thm)],[17267, 17265])).
% 28.02/18.56 tff(17269,plain,
% 28.02/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB133, constB134)) | v90(constB133, 2) | v100(constB134) | (~v90(constB134, 2)))),
% 28.02/18.56 inference(quant_inst,[status(thm)],[])).
% 28.02/18.56 tff(17270,plain,
% 28.02/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB133, 2) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 2))),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17269, 17268])).
% 28.02/18.56 tff(17271,plain,
% 28.02/18.56 (v90(constB133, 2) | v100(constB134) | (~v90(constB134, 2))),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17270, 170, 17179])).
% 28.02/18.56 tff(17272,plain,
% 28.02/18.56 (v90(constB133, 2)),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17271, 17264, 17147])).
% 28.02/18.56 tff(17273,plain,
% 28.02/18.56 ((~v1(constB133)) <=> (~v1(constB133))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17274,axiom,(~v1(constB133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_133_1_1')).
% 28.02/18.56 tff(17275,plain,
% 28.02/18.56 (~v1(constB133)),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17274, 17273])).
% 28.02/18.56 tff(17276,plain,
% 28.02/18.56 (nextState(constB132, constB133) <=> nextState(constB132, constB133)),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17277,axiom,(nextState(constB132, constB133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_132_1')).
% 28.02/18.56 tff(17278,plain,
% 28.02/18.56 (nextState(constB132, constB133)),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17277, 17276])).
% 28.02/18.56 tff(17279,plain,
% 28.02/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17280,plain,
% 28.02/18.56 (((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133)) <=> (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17281,plain,
% 28.02/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133))))),
% 28.02/18.56 inference(monotonicity,[status(thm)],[17280])).
% 28.02/18.56 tff(17282,plain,
% 28.02/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 28.02/18.56 inference(transitivity,[status(thm)],[17281, 17279])).
% 28.02/18.56 tff(17283,plain,
% 28.02/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))),
% 28.02/18.56 inference(quant_inst,[status(thm)],[])).
% 28.02/18.56 tff(17284,plain,
% 28.02/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133))),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17283, 17282])).
% 28.02/18.56 tff(17285,plain,
% 28.02/18.56 (~v101(constB133)),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17284, 138, 17278, 17275])).
% 28.02/18.56 tff(17286,plain,
% 28.02/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17287,plain,
% 28.02/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))),
% 28.02/18.56 inference(quant_inst,[status(thm)],[])).
% 28.02/18.56 tff(17288,plain,
% 28.02/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133))),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17287, 17286])).
% 28.02/18.56 tff(17289,plain,
% 28.02/18.56 (v101(constB133) | (~v100(constB133))),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17288, 155, 17278])).
% 28.02/18.56 tff(17290,plain,
% 28.02/18.56 (~v100(constB133)),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17289, 17285])).
% 28.02/18.56 tff(17291,plain,
% 28.02/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB132, 2) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB132, 2) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 2)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17292,plain,
% 28.02/18.56 (((~nextState(constB132, constB133)) | v90(constB132, 2) | v100(constB133) | (~v90(constB133, 2))) <=> (v90(constB132, 2) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 2)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17293,plain,
% 28.02/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB132, constB133)) | v90(constB132, 2) | v100(constB133) | (~v90(constB133, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB132, 2) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 2))))),
% 28.02/18.56 inference(monotonicity,[status(thm)],[17292])).
% 28.02/18.56 tff(17294,plain,
% 28.02/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB132, constB133)) | v90(constB132, 2) | v100(constB133) | (~v90(constB133, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB132, 2) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 2)))),
% 28.02/18.56 inference(transitivity,[status(thm)],[17293, 17291])).
% 28.02/18.56 tff(17295,plain,
% 28.02/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB132, constB133)) | v90(constB132, 2) | v100(constB133) | (~v90(constB133, 2)))),
% 28.02/18.56 inference(quant_inst,[status(thm)],[])).
% 28.02/18.56 tff(17296,plain,
% 28.02/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB132, 2) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 2))),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17295, 17294])).
% 28.02/18.56 tff(17297,plain,
% 28.02/18.56 (v90(constB132, 2) | v100(constB133) | (~v90(constB133, 2))),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17296, 170, 17278])).
% 28.02/18.56 tff(17298,plain,
% 28.02/18.56 (v90(constB132, 2) | (~v90(constB133, 2))),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17297, 17290])).
% 28.02/18.56 tff(17299,plain,
% 28.02/18.56 (v90(constB132, 2)),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17298, 17272])).
% 28.02/18.56 tff(17300,plain,
% 28.02/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB133, 0) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB133, 0) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 0)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17301,plain,
% 28.02/18.56 (((~nextState(constB133, constB134)) | v90(constB133, 0) | v100(constB134) | (~v90(constB134, 0))) <=> (v90(constB133, 0) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 0)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17302,plain,
% 28.02/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB133, constB134)) | v90(constB133, 0) | v100(constB134) | (~v90(constB134, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB133, 0) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 0))))),
% 28.02/18.56 inference(monotonicity,[status(thm)],[17301])).
% 28.02/18.56 tff(17303,plain,
% 28.02/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB133, constB134)) | v90(constB133, 0) | v100(constB134) | (~v90(constB134, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB133, 0) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 0)))),
% 28.02/18.56 inference(transitivity,[status(thm)],[17302, 17300])).
% 28.02/18.56 tff(17304,plain,
% 28.02/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB133, constB134)) | v90(constB133, 0) | v100(constB134) | (~v90(constB134, 0)))),
% 28.02/18.56 inference(quant_inst,[status(thm)],[])).
% 28.02/18.56 tff(17305,plain,
% 28.02/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB133, 0) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 0))),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17304, 17303])).
% 28.02/18.56 tff(17306,plain,
% 28.02/18.56 (v90(constB133, 0) | v100(constB134) | (~v90(constB134, 0))),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17305, 212, 17179])).
% 28.02/18.56 tff(17307,plain,
% 28.02/18.56 (v90(constB133, 0)),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17306, 17264, 17166])).
% 28.02/18.56 tff(17308,plain,
% 28.02/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB132, 0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB132, 0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 0)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17309,plain,
% 28.02/18.56 (((~nextState(constB132, constB133)) | v90(constB132, 0) | v100(constB133) | (~v90(constB133, 0))) <=> (v90(constB132, 0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 0)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17310,plain,
% 28.02/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB132, constB133)) | v90(constB132, 0) | v100(constB133) | (~v90(constB133, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB132, 0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 0))))),
% 28.02/18.56 inference(monotonicity,[status(thm)],[17309])).
% 28.02/18.56 tff(17311,plain,
% 28.02/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB132, constB133)) | v90(constB132, 0) | v100(constB133) | (~v90(constB133, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB132, 0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 0)))),
% 28.02/18.56 inference(transitivity,[status(thm)],[17310, 17308])).
% 28.02/18.56 tff(17312,plain,
% 28.02/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB132, constB133)) | v90(constB132, 0) | v100(constB133) | (~v90(constB133, 0)))),
% 28.02/18.56 inference(quant_inst,[status(thm)],[])).
% 28.02/18.56 tff(17313,plain,
% 28.02/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB132, 0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 0))),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17312, 17311])).
% 28.02/18.56 tff(17314,plain,
% 28.02/18.56 (v90(constB132, 0) | v100(constB133) | (~v90(constB133, 0))),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17313, 212, 17278])).
% 28.02/18.56 tff(17315,plain,
% 28.02/18.56 (v90(constB132, 0) | (~v90(constB133, 0))),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17314, 17290])).
% 28.02/18.56 tff(17316,plain,
% 28.02/18.56 (v90(constB132, 0)),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17315, 17307])).
% 28.02/18.56 tff(17317,plain,
% 28.02/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB133, 1) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB133, 1) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 1)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17318,plain,
% 28.02/18.56 (((~nextState(constB133, constB134)) | v90(constB133, 1) | v100(constB134) | (~v90(constB134, 1))) <=> (v90(constB133, 1) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 1)))),
% 28.02/18.56 inference(rewrite,[status(thm)],[])).
% 28.02/18.56 tff(17319,plain,
% 28.02/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB133, constB134)) | v90(constB133, 1) | v100(constB134) | (~v90(constB134, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB133, 1) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 1))))),
% 28.02/18.56 inference(monotonicity,[status(thm)],[17318])).
% 28.02/18.56 tff(17320,plain,
% 28.02/18.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB133, constB134)) | v90(constB133, 1) | v100(constB134) | (~v90(constB134, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB133, 1) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 1)))),
% 28.02/18.56 inference(transitivity,[status(thm)],[17319, 17317])).
% 28.02/18.56 tff(17321,plain,
% 28.02/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB133, constB134)) | v90(constB133, 1) | v100(constB134) | (~v90(constB134, 1)))),
% 28.02/18.56 inference(quant_inst,[status(thm)],[])).
% 28.02/18.56 tff(17322,plain,
% 28.02/18.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB133, 1) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 1))),
% 28.02/18.56 inference(modus_ponens,[status(thm)],[17321, 17320])).
% 28.02/18.56 tff(17323,plain,
% 28.02/18.56 (v90(constB133, 1) | v100(constB134) | (~v90(constB134, 1))),
% 28.02/18.56 inference(unit_resolution,[status(thm)],[17322, 191, 17179])).
% 28.02/18.56 tff(17324,plain,
% 28.02/18.57 (v90(constB133, 1)),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17323, 17264, 17156])).
% 28.02/18.57 tff(17325,plain,
% 28.02/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB132, 1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB132, 1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 1)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17326,plain,
% 28.02/18.57 (((~nextState(constB132, constB133)) | v90(constB132, 1) | v100(constB133) | (~v90(constB133, 1))) <=> (v90(constB132, 1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 1)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17327,plain,
% 28.02/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB132, constB133)) | v90(constB132, 1) | v100(constB133) | (~v90(constB133, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB132, 1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 1))))),
% 28.02/18.57 inference(monotonicity,[status(thm)],[17326])).
% 28.02/18.57 tff(17328,plain,
% 28.02/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB132, constB133)) | v90(constB132, 1) | v100(constB133) | (~v90(constB133, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB132, 1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 1)))),
% 28.02/18.57 inference(transitivity,[status(thm)],[17327, 17325])).
% 28.02/18.57 tff(17329,plain,
% 28.02/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB132, constB133)) | v90(constB132, 1) | v100(constB133) | (~v90(constB133, 1)))),
% 28.02/18.57 inference(quant_inst,[status(thm)],[])).
% 28.02/18.57 tff(17330,plain,
% 28.02/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB132, 1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 1))),
% 28.02/18.57 inference(modus_ponens,[status(thm)],[17329, 17328])).
% 28.02/18.57 tff(17331,plain,
% 28.02/18.57 (v90(constB132, 1) | v100(constB133) | (~v90(constB133, 1))),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17330, 191, 17278])).
% 28.02/18.57 tff(17332,plain,
% 28.02/18.57 (v90(constB132, 1) | (~v90(constB133, 1))),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17331, 17290])).
% 28.02/18.57 tff(17333,plain,
% 28.02/18.57 (v90(constB132, 1)),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17332, 17324])).
% 28.02/18.57 tff(17334,assumption,(~v90(constB129, 1)), introduced(assumption)).
% 28.02/18.57 tff(17335,assumption,(~v100(constB134)), introduced(assumption)).
% 28.02/18.57 tff(17336,plain,
% 28.02/18.57 (v90(constB133, 0)),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17306, 17335, 17189])).
% 28.02/18.57 tff(17337,plain,
% 28.02/18.57 (v90(constB132, 0)),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17315, 17336])).
% 28.02/18.57 tff(17338,plain,
% 28.02/18.57 (v90(constB133, 1)),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17323, 17335, 17168])).
% 28.02/18.57 tff(17339,plain,
% 28.02/18.57 (v90(constB132, 1)),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17332, 17338])).
% 28.02/18.57 tff(17340,assumption,(~v129(constB132, 1)), introduced(assumption)).
% 28.02/18.57 tff(17341,plain,
% 28.02/18.57 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB132, 1)) | v129(constB132, 1) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB132, 1)) | v129(constB132, 1) | (~v100(constB132)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17342,plain,
% 28.02/18.57 (((~v90(constB132, 1)) | (~v100(constB132)) | v129(constB132, 1)) <=> ((~v90(constB132, 1)) | v129(constB132, 1) | (~v100(constB132)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17343,plain,
% 28.02/18.57 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB132, 1)) | (~v100(constB132)) | v129(constB132, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB132, 1)) | v129(constB132, 1) | (~v100(constB132))))),
% 28.02/18.57 inference(monotonicity,[status(thm)],[17342])).
% 28.02/18.57 tff(17344,plain,
% 28.02/18.57 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB132, 1)) | (~v100(constB132)) | v129(constB132, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB132, 1)) | v129(constB132, 1) | (~v100(constB132)))),
% 28.02/18.57 inference(transitivity,[status(thm)],[17343, 17341])).
% 28.02/18.57 tff(17345,plain,
% 28.02/18.57 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB132, 1)) | (~v100(constB132)) | v129(constB132, 1))),
% 28.02/18.57 inference(quant_inst,[status(thm)],[])).
% 28.02/18.57 tff(17346,plain,
% 28.02/18.57 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB132, 1)) | v129(constB132, 1) | (~v100(constB132))),
% 28.02/18.57 inference(modus_ponens,[status(thm)],[17345, 17344])).
% 28.02/18.57 tff(17347,plain,
% 28.02/18.57 ((~v90(constB132, 1)) | (~v100(constB132))),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17346, 574, 17340])).
% 28.02/18.57 tff(17348,plain,
% 28.02/18.57 (~v100(constB132)),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17347, 17339])).
% 28.02/18.57 tff(17349,plain,
% 28.02/18.57 (nextState(constB131, constB132) <=> nextState(constB131, constB132)),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17350,axiom,(nextState(constB131, constB132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_131_1')).
% 28.02/18.57 tff(17351,plain,
% 28.02/18.57 (nextState(constB131, constB132)),
% 28.02/18.57 inference(modus_ponens,[status(thm)],[17350, 17349])).
% 28.02/18.57 tff(17352,plain,
% 28.02/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB131, 0) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB131, 0) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 0)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17353,plain,
% 28.02/18.57 (((~nextState(constB131, constB132)) | v90(constB131, 0) | v100(constB132) | (~v90(constB132, 0))) <=> (v90(constB131, 0) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 0)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17354,plain,
% 28.02/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB131, constB132)) | v90(constB131, 0) | v100(constB132) | (~v90(constB132, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB131, 0) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 0))))),
% 28.02/18.57 inference(monotonicity,[status(thm)],[17353])).
% 28.02/18.57 tff(17355,plain,
% 28.02/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB131, constB132)) | v90(constB131, 0) | v100(constB132) | (~v90(constB132, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB131, 0) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 0)))),
% 28.02/18.57 inference(transitivity,[status(thm)],[17354, 17352])).
% 28.02/18.57 tff(17356,plain,
% 28.02/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB131, constB132)) | v90(constB131, 0) | v100(constB132) | (~v90(constB132, 0)))),
% 28.02/18.57 inference(quant_inst,[status(thm)],[])).
% 28.02/18.57 tff(17357,plain,
% 28.02/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB131, 0) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 0))),
% 28.02/18.57 inference(modus_ponens,[status(thm)],[17356, 17355])).
% 28.02/18.57 tff(17358,plain,
% 28.02/18.57 (v90(constB131, 0) | v100(constB132) | (~v90(constB132, 0))),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17357, 212, 17351])).
% 28.02/18.57 tff(17359,plain,
% 28.02/18.57 (v90(constB131, 0)),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17358, 17348, 17337])).
% 28.02/18.57 tff(17360,plain,
% 28.02/18.57 ((~v1(constB131)) <=> (~v1(constB131))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17361,axiom,(~v1(constB131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_131_1_1')).
% 28.02/18.57 tff(17362,plain,
% 28.02/18.57 (~v1(constB131)),
% 28.02/18.57 inference(modus_ponens,[status(thm)],[17361, 17360])).
% 28.02/18.57 tff(17363,plain,
% 28.02/18.57 (nextState(constB130, constB131) <=> nextState(constB130, constB131)),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17364,axiom,(nextState(constB130, constB131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_130_1')).
% 28.02/18.57 tff(17365,plain,
% 28.02/18.57 (nextState(constB130, constB131)),
% 28.02/18.57 inference(modus_ponens,[status(thm)],[17364, 17363])).
% 28.02/18.57 tff(17366,plain,
% 28.02/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17367,plain,
% 28.02/18.57 (((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131)) <=> (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17368,plain,
% 28.02/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131))))),
% 28.02/18.57 inference(monotonicity,[status(thm)],[17367])).
% 28.02/18.57 tff(17369,plain,
% 28.02/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 28.02/18.57 inference(transitivity,[status(thm)],[17368, 17366])).
% 28.02/18.57 tff(17370,plain,
% 28.02/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))),
% 28.02/18.57 inference(quant_inst,[status(thm)],[])).
% 28.02/18.57 tff(17371,plain,
% 28.02/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131))),
% 28.02/18.57 inference(modus_ponens,[status(thm)],[17370, 17369])).
% 28.02/18.57 tff(17372,plain,
% 28.02/18.57 (~v101(constB131)),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17371, 138, 17365, 17362])).
% 28.02/18.57 tff(17373,plain,
% 28.02/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17374,plain,
% 28.02/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))),
% 28.02/18.57 inference(quant_inst,[status(thm)],[])).
% 28.02/18.57 tff(17375,plain,
% 28.02/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131))),
% 28.02/18.57 inference(modus_ponens,[status(thm)],[17374, 17373])).
% 28.02/18.57 tff(17376,plain,
% 28.02/18.57 (v101(constB131) | (~v100(constB131))),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17375, 155, 17365])).
% 28.02/18.57 tff(17377,plain,
% 28.02/18.57 (~v100(constB131)),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17376, 17372])).
% 28.02/18.57 tff(17378,plain,
% 28.02/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB130, 0) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB130, 0) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 0)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17379,plain,
% 28.02/18.57 (((~nextState(constB130, constB131)) | v90(constB130, 0) | v100(constB131) | (~v90(constB131, 0))) <=> (v90(constB130, 0) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 0)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17380,plain,
% 28.02/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB130, constB131)) | v90(constB130, 0) | v100(constB131) | (~v90(constB131, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB130, 0) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 0))))),
% 28.02/18.57 inference(monotonicity,[status(thm)],[17379])).
% 28.02/18.57 tff(17381,plain,
% 28.02/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB130, constB131)) | v90(constB130, 0) | v100(constB131) | (~v90(constB131, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB130, 0) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 0)))),
% 28.02/18.57 inference(transitivity,[status(thm)],[17380, 17378])).
% 28.02/18.57 tff(17382,plain,
% 28.02/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB130, constB131)) | v90(constB130, 0) | v100(constB131) | (~v90(constB131, 0)))),
% 28.02/18.57 inference(quant_inst,[status(thm)],[])).
% 28.02/18.57 tff(17383,plain,
% 28.02/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB130, 0) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 0))),
% 28.02/18.57 inference(modus_ponens,[status(thm)],[17382, 17381])).
% 28.02/18.57 tff(17384,plain,
% 28.02/18.57 (v90(constB130, 0) | v100(constB131) | (~v90(constB131, 0))),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17383, 212, 17365])).
% 28.02/18.57 tff(17385,plain,
% 28.02/18.57 (v90(constB130, 0) | (~v90(constB131, 0))),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17384, 17377])).
% 28.02/18.57 tff(17386,plain,
% 28.02/18.57 (v90(constB130, 0)),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17385, 17359])).
% 28.02/18.57 tff(17387,plain,
% 28.02/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB131, 1) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB131, 1) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 1)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17388,plain,
% 28.02/18.57 (((~nextState(constB131, constB132)) | v90(constB131, 1) | v100(constB132) | (~v90(constB132, 1))) <=> (v90(constB131, 1) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 1)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17389,plain,
% 28.02/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB131, constB132)) | v90(constB131, 1) | v100(constB132) | (~v90(constB132, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB131, 1) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 1))))),
% 28.02/18.57 inference(monotonicity,[status(thm)],[17388])).
% 28.02/18.57 tff(17390,plain,
% 28.02/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB131, constB132)) | v90(constB131, 1) | v100(constB132) | (~v90(constB132, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB131, 1) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 1)))),
% 28.02/18.57 inference(transitivity,[status(thm)],[17389, 17387])).
% 28.02/18.57 tff(17391,plain,
% 28.02/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB131, constB132)) | v90(constB131, 1) | v100(constB132) | (~v90(constB132, 1)))),
% 28.02/18.57 inference(quant_inst,[status(thm)],[])).
% 28.02/18.57 tff(17392,plain,
% 28.02/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB131, 1) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 1))),
% 28.02/18.57 inference(modus_ponens,[status(thm)],[17391, 17390])).
% 28.02/18.57 tff(17393,plain,
% 28.02/18.57 (v90(constB131, 1) | v100(constB132) | (~v90(constB132, 1))),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17392, 191, 17351])).
% 28.02/18.57 tff(17394,plain,
% 28.02/18.57 (v90(constB131, 1)),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17393, 17348, 17339])).
% 28.02/18.57 tff(17395,plain,
% 28.02/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB130, 1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB130, 1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 1)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17396,plain,
% 28.02/18.57 (((~nextState(constB130, constB131)) | v90(constB130, 1) | v100(constB131) | (~v90(constB131, 1))) <=> (v90(constB130, 1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 1)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17397,plain,
% 28.02/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB130, constB131)) | v90(constB130, 1) | v100(constB131) | (~v90(constB131, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB130, 1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 1))))),
% 28.02/18.57 inference(monotonicity,[status(thm)],[17396])).
% 28.02/18.57 tff(17398,plain,
% 28.02/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB130, constB131)) | v90(constB130, 1) | v100(constB131) | (~v90(constB131, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB130, 1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 1)))),
% 28.02/18.57 inference(transitivity,[status(thm)],[17397, 17395])).
% 28.02/18.57 tff(17399,plain,
% 28.02/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB130, constB131)) | v90(constB130, 1) | v100(constB131) | (~v90(constB131, 1)))),
% 28.02/18.57 inference(quant_inst,[status(thm)],[])).
% 28.02/18.57 tff(17400,plain,
% 28.02/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB130, 1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 1))),
% 28.02/18.57 inference(modus_ponens,[status(thm)],[17399, 17398])).
% 28.02/18.57 tff(17401,plain,
% 28.02/18.57 (v90(constB130, 1) | v100(constB131) | (~v90(constB131, 1))),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17400, 191, 17365])).
% 28.02/18.57 tff(17402,plain,
% 28.02/18.57 (v90(constB130, 1) | (~v90(constB131, 1))),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17401, 17377])).
% 28.02/18.57 tff(17403,plain,
% 28.02/18.57 (v90(constB130, 1)),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17402, 17394])).
% 28.02/18.57 tff(17404,plain,
% 28.02/18.57 (nextState(constB129, constB130) <=> nextState(constB129, constB130)),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17405,axiom,(nextState(constB129, constB130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_129_1')).
% 28.02/18.57 tff(17406,plain,
% 28.02/18.57 (nextState(constB129, constB130)),
% 28.02/18.57 inference(modus_ponens,[status(thm)],[17405, 17404])).
% 28.02/18.57 tff(17407,plain,
% 28.02/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB129, 1) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB129, 1) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 1)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17408,plain,
% 28.02/18.57 (((~nextState(constB129, constB130)) | v90(constB129, 1) | v100(constB130) | (~v90(constB130, 1))) <=> (v90(constB129, 1) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 1)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17409,plain,
% 28.02/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB129, constB130)) | v90(constB129, 1) | v100(constB130) | (~v90(constB130, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB129, 1) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 1))))),
% 28.02/18.57 inference(monotonicity,[status(thm)],[17408])).
% 28.02/18.57 tff(17410,plain,
% 28.02/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB129, constB130)) | v90(constB129, 1) | v100(constB130) | (~v90(constB130, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB129, 1) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 1)))),
% 28.02/18.57 inference(transitivity,[status(thm)],[17409, 17407])).
% 28.02/18.57 tff(17411,plain,
% 28.02/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB129, constB130)) | v90(constB129, 1) | v100(constB130) | (~v90(constB130, 1)))),
% 28.02/18.57 inference(quant_inst,[status(thm)],[])).
% 28.02/18.57 tff(17412,plain,
% 28.02/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB129, 1) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 1))),
% 28.02/18.57 inference(modus_ponens,[status(thm)],[17411, 17410])).
% 28.02/18.57 tff(17413,plain,
% 28.02/18.57 (v90(constB129, 1) | v100(constB130) | (~v90(constB130, 1))),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17412, 191, 17406])).
% 28.02/18.57 tff(17414,plain,
% 28.02/18.57 (v100(constB130)),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17413, 17403, 17334])).
% 28.02/18.57 tff(17415,plain,
% 28.02/18.57 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB130, 0)) | v129(constB130, 0) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB130, 0)) | v129(constB130, 0) | (~v100(constB130)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17416,plain,
% 28.02/18.57 (((~v90(constB130, 0)) | (~v100(constB130)) | v129(constB130, 0)) <=> ((~v90(constB130, 0)) | v129(constB130, 0) | (~v100(constB130)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17417,plain,
% 28.02/18.57 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB130, 0)) | (~v100(constB130)) | v129(constB130, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB130, 0)) | v129(constB130, 0) | (~v100(constB130))))),
% 28.02/18.57 inference(monotonicity,[status(thm)],[17416])).
% 28.02/18.57 tff(17418,plain,
% 28.02/18.57 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB130, 0)) | (~v100(constB130)) | v129(constB130, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB130, 0)) | v129(constB130, 0) | (~v100(constB130)))),
% 28.02/18.57 inference(transitivity,[status(thm)],[17417, 17415])).
% 28.02/18.57 tff(17419,plain,
% 28.02/18.57 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB130, 0)) | (~v100(constB130)) | v129(constB130, 0))),
% 28.02/18.57 inference(quant_inst,[status(thm)],[])).
% 28.02/18.57 tff(17420,plain,
% 28.02/18.57 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB130, 0)) | v129(constB130, 0) | (~v100(constB130))),
% 28.02/18.57 inference(modus_ponens,[status(thm)],[17419, 17418])).
% 28.02/18.57 tff(17421,plain,
% 28.02/18.57 (v129(constB130, 0)),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17420, 966, 17414, 17386])).
% 28.02/18.57 tff(17422,plain,
% 28.02/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB129, constB130)) | v127(constB129, 0) | (~v129(constB130, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB129, constB130)) | v127(constB129, 0) | (~v129(constB130, 0)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17423,plain,
% 28.02/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB129, constB130)) | v127(constB129, 0) | (~v129(constB130, 0)))),
% 28.02/18.57 inference(quant_inst,[status(thm)],[])).
% 28.02/18.57 tff(17424,plain,
% 28.02/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB129, constB130)) | v127(constB129, 0) | (~v129(constB130, 0))),
% 28.02/18.57 inference(modus_ponens,[status(thm)],[17423, 17422])).
% 28.02/18.57 tff(17425,plain,
% 28.02/18.57 (v127(constB129, 0) | (~v129(constB130, 0))),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17424, 951, 17406])).
% 28.02/18.57 tff(17426,plain,
% 28.02/18.57 (v127(constB129, 0)),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17425, 17421])).
% 28.02/18.57 tff(17427,plain,
% 28.02/18.57 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB129)) | (~v127(constB129, 0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB129)) | (~v127(constB129, 0)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17428,plain,
% 28.02/18.57 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB129)) | (~v127(constB129, 0)))),
% 28.02/18.57 inference(quant_inst,[status(thm)],[])).
% 28.02/18.57 tff(17429,plain,
% 28.02/18.57 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB129)) | (~v127(constB129, 0))),
% 28.02/18.57 inference(modus_ponens,[status(thm)],[17428, 17427])).
% 28.02/18.57 tff(17430,plain,
% 28.02/18.57 (~v26(constB129)),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17429, 1370, 17426])).
% 28.02/18.57 tff(17431,plain,
% 28.02/18.57 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB130, 1)) | v129(constB130, 1) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB130, 1)) | v129(constB130, 1) | (~v100(constB130)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17432,plain,
% 28.02/18.57 (((~v90(constB130, 1)) | (~v100(constB130)) | v129(constB130, 1)) <=> ((~v90(constB130, 1)) | v129(constB130, 1) | (~v100(constB130)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17433,plain,
% 28.02/18.57 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB130, 1)) | (~v100(constB130)) | v129(constB130, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB130, 1)) | v129(constB130, 1) | (~v100(constB130))))),
% 28.02/18.57 inference(monotonicity,[status(thm)],[17432])).
% 28.02/18.57 tff(17434,plain,
% 28.02/18.57 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB130, 1)) | (~v100(constB130)) | v129(constB130, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB130, 1)) | v129(constB130, 1) | (~v100(constB130)))),
% 28.02/18.57 inference(transitivity,[status(thm)],[17433, 17431])).
% 28.02/18.57 tff(17435,plain,
% 28.02/18.57 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB130, 1)) | (~v100(constB130)) | v129(constB130, 1))),
% 28.02/18.57 inference(quant_inst,[status(thm)],[])).
% 28.02/18.57 tff(17436,plain,
% 28.02/18.57 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB130, 1)) | v129(constB130, 1) | (~v100(constB130))),
% 28.02/18.57 inference(modus_ponens,[status(thm)],[17435, 17434])).
% 28.02/18.57 tff(17437,plain,
% 28.02/18.57 (v129(constB130, 1)),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17436, 574, 17414, 17403])).
% 28.02/18.57 tff(17438,plain,
% 28.02/18.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB129, constB130)) | v127(constB129, 1) | (~v129(constB130, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB129, constB130)) | v127(constB129, 1) | (~v129(constB130, 1)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17439,plain,
% 28.02/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB129, constB130)) | v127(constB129, 1) | (~v129(constB130, 1)))),
% 28.02/18.57 inference(quant_inst,[status(thm)],[])).
% 28.02/18.57 tff(17440,plain,
% 28.02/18.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB129, constB130)) | v127(constB129, 1) | (~v129(constB130, 1))),
% 28.02/18.57 inference(modus_ponens,[status(thm)],[17439, 17438])).
% 28.02/18.57 tff(17441,plain,
% 28.02/18.57 (v127(constB129, 1) | (~v129(constB130, 1))),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17440, 559, 17406])).
% 28.02/18.57 tff(17442,plain,
% 28.02/18.57 (v127(constB129, 1)),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17441, 17437])).
% 28.02/18.57 tff(17443,plain,
% 28.02/18.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB129, 1)) | v26(constB129) | v130(constB129, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB129, 1)) | v26(constB129) | v130(constB129, 1))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17444,plain,
% 28.02/18.57 ((v26(constB129) | v130(constB129, 1) | (~v127(constB129, 1))) <=> ((~v127(constB129, 1)) | v26(constB129) | v130(constB129, 1))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17445,plain,
% 28.02/18.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB129) | v130(constB129, 1) | (~v127(constB129, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB129, 1)) | v26(constB129) | v130(constB129, 1)))),
% 28.02/18.57 inference(monotonicity,[status(thm)],[17444])).
% 28.02/18.57 tff(17446,plain,
% 28.02/18.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB129) | v130(constB129, 1) | (~v127(constB129, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB129, 1)) | v26(constB129) | v130(constB129, 1))),
% 28.02/18.57 inference(transitivity,[status(thm)],[17445, 17443])).
% 28.02/18.57 tff(17447,plain,
% 28.02/18.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB129) | v130(constB129, 1) | (~v127(constB129, 1)))),
% 28.02/18.57 inference(quant_inst,[status(thm)],[])).
% 28.02/18.57 tff(17448,plain,
% 28.02/18.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB129, 1)) | v26(constB129) | v130(constB129, 1)),
% 28.02/18.57 inference(modus_ponens,[status(thm)],[17447, 17446])).
% 28.02/18.57 tff(17449,plain,
% 28.02/18.57 (v130(constB129, 1)),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17448, 541, 17442, 17430])).
% 28.02/18.57 tff(17450,plain,
% 28.02/18.57 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB129)) | (~v130(constB129, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB129)) | (~v130(constB129, 1)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17451,plain,
% 28.02/18.57 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB129)) | (~v130(constB129, 1)))),
% 28.02/18.57 inference(quant_inst,[status(thm)],[])).
% 28.02/18.57 tff(17452,plain,
% 28.02/18.57 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB129)) | (~v130(constB129, 1))),
% 28.02/18.57 inference(modus_ponens,[status(thm)],[17451, 17450])).
% 28.02/18.57 tff(17453,plain,
% 28.02/18.57 (~v119(constB129)),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17452, 527, 17449])).
% 28.02/18.57 tff(17454,plain,
% 28.02/18.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB129, 0)) | v26(constB129) | v130(constB129, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB129, 0)) | v26(constB129) | v130(constB129, 0))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17455,plain,
% 28.02/18.57 ((v26(constB129) | v130(constB129, 0) | (~v127(constB129, 0))) <=> ((~v127(constB129, 0)) | v26(constB129) | v130(constB129, 0))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17456,plain,
% 28.02/18.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB129) | v130(constB129, 0) | (~v127(constB129, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB129, 0)) | v26(constB129) | v130(constB129, 0)))),
% 28.02/18.57 inference(monotonicity,[status(thm)],[17455])).
% 28.02/18.57 tff(17457,plain,
% 28.02/18.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB129) | v130(constB129, 0) | (~v127(constB129, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB129, 0)) | v26(constB129) | v130(constB129, 0))),
% 28.02/18.57 inference(transitivity,[status(thm)],[17456, 17454])).
% 28.02/18.57 tff(17458,plain,
% 28.02/18.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB129) | v130(constB129, 0) | (~v127(constB129, 0)))),
% 28.02/18.57 inference(quant_inst,[status(thm)],[])).
% 28.02/18.57 tff(17459,plain,
% 28.02/18.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB129, 0)) | v26(constB129) | v130(constB129, 0)),
% 28.02/18.57 inference(modus_ponens,[status(thm)],[17458, 17457])).
% 28.02/18.57 tff(17460,plain,
% 28.02/18.57 (v130(constB129, 0)),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17459, 933, 17426, 17430])).
% 28.02/18.57 tff(17461,plain,
% 28.02/18.57 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB129)) | (~v130(constB129, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB129)) | (~v130(constB129, 0)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17462,plain,
% 28.02/18.57 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB129)) | (~v130(constB129, 0)))),
% 28.02/18.57 inference(quant_inst,[status(thm)],[])).
% 28.02/18.57 tff(17463,plain,
% 28.02/18.57 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB129)) | (~v130(constB129, 0))),
% 28.02/18.57 inference(modus_ponens,[status(thm)],[17462, 17461])).
% 28.02/18.57 tff(17464,plain,
% 28.02/18.57 (~v120(constB129)),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17463, 919, 17460])).
% 28.02/18.57 tff(17465,plain,
% 28.02/18.57 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB129)) | (~v130(constB129, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB129)) | (~v130(constB129, 0)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17466,plain,
% 28.02/18.57 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB129)) | (~v130(constB129, 0)))),
% 28.02/18.57 inference(quant_inst,[status(thm)],[])).
% 28.02/18.57 tff(17467,plain,
% 28.02/18.57 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB129)) | (~v130(constB129, 0))),
% 28.02/18.57 inference(modus_ponens,[status(thm)],[17466, 17465])).
% 28.02/18.57 tff(17468,plain,
% 28.02/18.57 (~v124(constB129)),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17467, 1967, 17460])).
% 28.02/18.57 tff(17469,plain,
% 28.02/18.57 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB129)) | (~v130(constB129, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB129)) | (~v130(constB129, 1)))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17470,plain,
% 28.02/18.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB129)) | (~v130(constB129, 1)))),
% 28.02/18.57 inference(quant_inst,[status(thm)],[])).
% 28.02/18.57 tff(17471,plain,
% 28.02/18.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB129)) | (~v130(constB129, 1))),
% 28.02/18.57 inference(modus_ponens,[status(thm)],[17470, 17469])).
% 28.02/18.57 tff(17472,plain,
% 28.02/18.57 (~v123(constB129)),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17471, 1712, 17449])).
% 28.02/18.57 tff(17473,plain,
% 28.02/18.57 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | ((~v121(constB129)) | v90(constB129, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | (~v121(constB129)) | v90(constB129, 1))),
% 28.02/18.57 inference(rewrite,[status(thm)],[])).
% 28.02/18.57 tff(17474,plain,
% 28.02/18.57 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | ((~v121(constB129)) | v90(constB129, 1))),
% 28.02/18.57 inference(quant_inst,[status(thm)],[])).
% 28.02/18.57 tff(17475,plain,
% 28.02/18.57 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | (~v121(constB129)) | v90(constB129, 1)),
% 28.02/18.57 inference(modus_ponens,[status(thm)],[17474, 17473])).
% 28.02/18.57 tff(17476,plain,
% 28.02/18.57 (~v121(constB129)),
% 28.02/18.57 inference(unit_resolution,[status(thm)],[17475, 14676, 17334])).
% 28.02/18.58 tff(17477,plain,
% 28.02/18.58 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB129)) | v90(constB129, 1))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB129)) | v90(constB129, 1))),
% 28.02/18.58 inference(rewrite,[status(thm)],[])).
% 28.02/18.58 tff(17478,plain,
% 28.02/18.58 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB129)) | v90(constB129, 1))),
% 28.02/18.58 inference(quant_inst,[status(thm)],[])).
% 28.02/18.58 tff(17479,plain,
% 28.02/18.58 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB129)) | v90(constB129, 1)),
% 28.02/18.58 inference(modus_ponens,[status(thm)],[17478, 17477])).
% 28.02/18.58 tff(17480,plain,
% 28.02/18.58 (~v122(constB129)),
% 28.02/18.58 inference(unit_resolution,[status(thm)],[17479, 14628, 17334])).
% 28.02/18.58 tff(17481,plain,
% 28.02/18.58 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB129) | v120(constB129) | v121(constB129) | v122(constB129) | v123(constB129) | v124(constB129) | (~v130(constB129, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB129) | v120(constB129) | v121(constB129) | v122(constB129) | v123(constB129) | v124(constB129) | (~v130(constB129, 1)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17482,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB129) | v120(constB129) | v121(constB129) | v122(constB129) | v123(constB129) | v124(constB129) | (~v130(constB129, 1)))),
% 28.06/18.58 inference(quant_inst,[status(thm)],[])).
% 28.06/18.58 tff(17483,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB129) | v120(constB129) | v121(constB129) | v122(constB129) | v123(constB129) | v124(constB129) | (~v130(constB129, 1))),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17482, 17481])).
% 28.06/18.58 tff(17484,plain,
% 28.06/18.58 (v119(constB129) | v120(constB129) | v123(constB129) | v124(constB129) | (~v130(constB129, 1))),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17483, 2214, 17480, 17476])).
% 28.06/18.58 tff(17485,plain,
% 28.06/18.58 ($false),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17484, 17472, 17468, 17464, 17453, 17449])).
% 28.06/18.58 tff(17486,plain,(v100(constB134) | v90(constB129, 1) | v129(constB132, 1) | (~v90(constB134, 0)) | (~v90(constB134, 1))), inference(lemma,lemma(discharge,[]))).
% 28.06/18.58 tff(17487,plain,
% 28.06/18.58 (v129(constB132, 1)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17486, 17264, 17334, 17166, 17156])).
% 28.06/18.58 tff(17488,plain,
% 28.06/18.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB131, constB132)) | v127(constB131, 1) | (~v129(constB132, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB131, constB132)) | v127(constB131, 1) | (~v129(constB132, 1)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17489,plain,
% 28.06/18.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB131, constB132)) | v127(constB131, 1) | (~v129(constB132, 1)))),
% 28.06/18.58 inference(quant_inst,[status(thm)],[])).
% 28.06/18.58 tff(17490,plain,
% 28.06/18.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB131, constB132)) | v127(constB131, 1) | (~v129(constB132, 1))),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17489, 17488])).
% 28.06/18.58 tff(17491,plain,
% 28.06/18.58 (v127(constB131, 1) | (~v129(constB132, 1))),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17490, 559, 17351])).
% 28.06/18.58 tff(17492,plain,
% 28.06/18.58 (v127(constB131, 1)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17491, 17487])).
% 28.06/18.58 tff(17493,assumption,(v90(constB132, 1)), introduced(assumption)).
% 28.06/18.58 tff(17494,assumption,(v90(constB132, 0)), introduced(assumption)).
% 28.06/18.58 tff(17495,assumption,(v90(constB132, 2)), introduced(assumption)).
% 28.06/18.58 tff(17496,assumption,(v127(constB131, 1)), introduced(assumption)).
% 28.06/18.58 tff(17497,plain,
% 28.06/18.58 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | ((~v26(constB131)) | (~v127(constB131, 1)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | (~v26(constB131)) | (~v127(constB131, 1)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17498,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | ((~v26(constB131)) | (~v127(constB131, 1)))),
% 28.06/18.58 inference(quant_inst,[status(thm)],[])).
% 28.06/18.58 tff(17499,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | (~v26(constB131)) | (~v127(constB131, 1))),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17498, 17497])).
% 28.06/18.58 tff(17500,plain,
% 28.06/18.58 (~v26(constB131)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17499, 5538, 17496])).
% 28.06/18.58 tff(17501,plain,
% 28.06/18.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB131, 1)) | v26(constB131) | v130(constB131, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB131, 1)) | v26(constB131) | v130(constB131, 1))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17502,plain,
% 28.06/18.58 ((v26(constB131) | v130(constB131, 1) | (~v127(constB131, 1))) <=> ((~v127(constB131, 1)) | v26(constB131) | v130(constB131, 1))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17503,plain,
% 28.06/18.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB131) | v130(constB131, 1) | (~v127(constB131, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB131, 1)) | v26(constB131) | v130(constB131, 1)))),
% 28.06/18.58 inference(monotonicity,[status(thm)],[17502])).
% 28.06/18.58 tff(17504,plain,
% 28.06/18.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB131) | v130(constB131, 1) | (~v127(constB131, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB131, 1)) | v26(constB131) | v130(constB131, 1))),
% 28.06/18.58 inference(transitivity,[status(thm)],[17503, 17501])).
% 28.06/18.58 tff(17505,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB131) | v130(constB131, 1) | (~v127(constB131, 1)))),
% 28.06/18.58 inference(quant_inst,[status(thm)],[])).
% 28.06/18.58 tff(17506,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB131, 1)) | v26(constB131) | v130(constB131, 1)),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17505, 17504])).
% 28.06/18.58 tff(17507,plain,
% 28.06/18.58 (v130(constB131, 1)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17506, 541, 17496, 17500])).
% 28.06/18.58 tff(17508,assumption,(v100(constB132)), introduced(assumption)).
% 28.06/18.58 tff(17509,plain,
% 28.06/18.58 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB132, 0)) | v129(constB132, 0) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB132, 0)) | v129(constB132, 0) | (~v100(constB132)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17510,plain,
% 28.06/18.58 (((~v90(constB132, 0)) | (~v100(constB132)) | v129(constB132, 0)) <=> ((~v90(constB132, 0)) | v129(constB132, 0) | (~v100(constB132)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17511,plain,
% 28.06/18.58 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB132, 0)) | (~v100(constB132)) | v129(constB132, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB132, 0)) | v129(constB132, 0) | (~v100(constB132))))),
% 28.06/18.58 inference(monotonicity,[status(thm)],[17510])).
% 28.06/18.58 tff(17512,plain,
% 28.06/18.58 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB132, 0)) | (~v100(constB132)) | v129(constB132, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB132, 0)) | v129(constB132, 0) | (~v100(constB132)))),
% 28.06/18.58 inference(transitivity,[status(thm)],[17511, 17509])).
% 28.06/18.58 tff(17513,plain,
% 28.06/18.58 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB132, 0)) | (~v100(constB132)) | v129(constB132, 0))),
% 28.06/18.58 inference(quant_inst,[status(thm)],[])).
% 28.06/18.58 tff(17514,plain,
% 28.06/18.58 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB132, 0)) | v129(constB132, 0) | (~v100(constB132))),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17513, 17512])).
% 28.06/18.58 tff(17515,plain,
% 28.06/18.58 (v129(constB132, 0) | (~v100(constB132))),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17514, 966, 17494])).
% 28.06/18.58 tff(17516,plain,
% 28.06/18.58 (v129(constB132, 0)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17515, 17508])).
% 28.06/18.58 tff(17517,plain,
% 28.06/18.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB131, constB132)) | v127(constB131, 0) | (~v129(constB132, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB131, constB132)) | v127(constB131, 0) | (~v129(constB132, 0)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17518,plain,
% 28.06/18.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB131, constB132)) | v127(constB131, 0) | (~v129(constB132, 0)))),
% 28.06/18.58 inference(quant_inst,[status(thm)],[])).
% 28.06/18.58 tff(17519,plain,
% 28.06/18.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB131, constB132)) | v127(constB131, 0) | (~v129(constB132, 0))),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17518, 17517])).
% 28.06/18.58 tff(17520,plain,
% 28.06/18.58 (v127(constB131, 0) | (~v129(constB132, 0))),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17519, 951, 17351])).
% 28.06/18.58 tff(17521,plain,
% 28.06/18.58 (v127(constB131, 0)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17520, 17516])).
% 28.06/18.58 tff(17522,assumption,(~v26(constB131)), introduced(assumption)).
% 28.06/18.58 tff(17523,plain,
% 28.06/18.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB131, 0)) | v26(constB131) | v130(constB131, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB131, 0)) | v26(constB131) | v130(constB131, 0))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17524,plain,
% 28.06/18.58 ((v26(constB131) | v130(constB131, 0) | (~v127(constB131, 0))) <=> ((~v127(constB131, 0)) | v26(constB131) | v130(constB131, 0))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17525,plain,
% 28.06/18.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB131) | v130(constB131, 0) | (~v127(constB131, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB131, 0)) | v26(constB131) | v130(constB131, 0)))),
% 28.06/18.58 inference(monotonicity,[status(thm)],[17524])).
% 28.06/18.58 tff(17526,plain,
% 28.06/18.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB131) | v130(constB131, 0) | (~v127(constB131, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB131, 0)) | v26(constB131) | v130(constB131, 0))),
% 28.06/18.58 inference(transitivity,[status(thm)],[17525, 17523])).
% 28.06/18.58 tff(17527,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB131) | v130(constB131, 0) | (~v127(constB131, 0)))),
% 28.06/18.58 inference(quant_inst,[status(thm)],[])).
% 28.06/18.58 tff(17528,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB131, 0)) | v26(constB131) | v130(constB131, 0)),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17527, 17526])).
% 28.06/18.58 tff(17529,plain,
% 28.06/18.58 ((~v127(constB131, 0)) | v130(constB131, 0)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17528, 933, 17522])).
% 28.06/18.58 tff(17530,plain,
% 28.06/18.58 (v130(constB131, 0)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17529, 17521])).
% 28.06/18.58 tff(17531,plain,
% 28.06/18.58 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB131)) | (~v130(constB131, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB131)) | (~v130(constB131, 0)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17532,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB131)) | (~v130(constB131, 0)))),
% 28.06/18.58 inference(quant_inst,[status(thm)],[])).
% 28.06/18.58 tff(17533,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB131)) | (~v130(constB131, 0))),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17532, 17531])).
% 28.06/18.58 tff(17534,plain,
% 28.06/18.58 (~v124(constB131)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17533, 1967, 17530])).
% 28.06/18.58 tff(17535,assumption,(v130(constB131, 1)), introduced(assumption)).
% 28.06/18.58 tff(17536,plain,
% 28.06/18.58 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB131)) | (~v130(constB131, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB131)) | (~v130(constB131, 1)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17537,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB131)) | (~v130(constB131, 1)))),
% 28.06/18.58 inference(quant_inst,[status(thm)],[])).
% 28.06/18.58 tff(17538,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB131)) | (~v130(constB131, 1))),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17537, 17536])).
% 28.06/18.58 tff(17539,plain,
% 28.06/18.58 (~v123(constB131)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17538, 1712, 17535])).
% 28.06/18.58 tff(17540,plain,
% 28.06/18.58 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB131)) | (~v130(constB131, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB131)) | (~v130(constB131, 1)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17541,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB131)) | (~v130(constB131, 1)))),
% 28.06/18.58 inference(quant_inst,[status(thm)],[])).
% 28.06/18.58 tff(17542,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB131)) | (~v130(constB131, 1))),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17541, 17540])).
% 28.06/18.58 tff(17543,plain,
% 28.06/18.58 (~v122(constB131)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17542, 1424, 17535])).
% 28.06/18.58 tff(17544,plain,
% 28.06/18.58 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB131)) | (~v130(constB131, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB131)) | (~v130(constB131, 1)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17545,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB131)) | (~v130(constB131, 1)))),
% 28.06/18.58 inference(quant_inst,[status(thm)],[])).
% 28.06/18.58 tff(17546,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB131)) | (~v130(constB131, 1))),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17545, 17544])).
% 28.06/18.58 tff(17547,plain,
% 28.06/18.58 (~v119(constB131)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17546, 527, 17535])).
% 28.06/18.58 tff(17548,plain,
% 28.06/18.58 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB131)) | (~v130(constB131, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB131)) | (~v130(constB131, 0)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17549,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB131)) | (~v130(constB131, 0)))),
% 28.06/18.58 inference(quant_inst,[status(thm)],[])).
% 28.06/18.58 tff(17550,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB131)) | (~v130(constB131, 0))),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17549, 17548])).
% 28.06/18.58 tff(17551,plain,
% 28.06/18.58 (~v120(constB131)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17550, 919, 17530])).
% 28.06/18.58 tff(17552,plain,
% 28.06/18.58 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB132, 2)) | v129(constB132, 2) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB132, 2)) | v129(constB132, 2) | (~v100(constB132)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17553,plain,
% 28.06/18.58 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB132, 2)) | v129(constB132, 2) | (~v100(constB132)))),
% 28.06/18.58 inference(quant_inst,[status(thm)],[])).
% 28.06/18.58 tff(17554,plain,
% 28.06/18.58 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB132, 2)) | v129(constB132, 2) | (~v100(constB132))),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17553, 17552])).
% 28.06/18.58 tff(17555,plain,
% 28.06/18.58 (v129(constB132, 2) | (~v100(constB132))),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17554, 488, 17495])).
% 28.06/18.58 tff(17556,plain,
% 28.06/18.58 (v129(constB132, 2)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17555, 17508])).
% 28.06/18.58 tff(17557,plain,
% 28.06/18.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB131, constB132)) | v127(constB131, 2) | (~v129(constB132, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB131, constB132)) | v127(constB131, 2) | (~v129(constB132, 2)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17558,plain,
% 28.06/18.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB131, constB132)) | v127(constB131, 2) | (~v129(constB132, 2)))),
% 28.06/18.58 inference(quant_inst,[status(thm)],[])).
% 28.06/18.58 tff(17559,plain,
% 28.06/18.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB131, constB132)) | v127(constB131, 2) | (~v129(constB132, 2))),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17558, 17557])).
% 28.06/18.58 tff(17560,plain,
% 28.06/18.58 (v127(constB131, 2) | (~v129(constB132, 2))),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17559, 473, 17351])).
% 28.06/18.58 tff(17561,plain,
% 28.06/18.58 (v127(constB131, 2)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17560, 17556])).
% 28.06/18.58 tff(17562,plain,
% 28.06/18.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB131, 2)) | v26(constB131) | v130(constB131, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB131, 2)) | v26(constB131) | v130(constB131, 2))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17563,plain,
% 28.06/18.58 ((v26(constB131) | v130(constB131, 2) | (~v127(constB131, 2))) <=> ((~v127(constB131, 2)) | v26(constB131) | v130(constB131, 2))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17564,plain,
% 28.06/18.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB131) | v130(constB131, 2) | (~v127(constB131, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB131, 2)) | v26(constB131) | v130(constB131, 2)))),
% 28.06/18.58 inference(monotonicity,[status(thm)],[17563])).
% 28.06/18.58 tff(17565,plain,
% 28.06/18.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB131) | v130(constB131, 2) | (~v127(constB131, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB131, 2)) | v26(constB131) | v130(constB131, 2))),
% 28.06/18.58 inference(transitivity,[status(thm)],[17564, 17562])).
% 28.06/18.58 tff(17566,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB131) | v130(constB131, 2) | (~v127(constB131, 2)))),
% 28.06/18.58 inference(quant_inst,[status(thm)],[])).
% 28.06/18.58 tff(17567,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB131, 2)) | v26(constB131) | v130(constB131, 2)),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17566, 17565])).
% 28.06/18.58 tff(17568,plain,
% 28.06/18.58 ((~v127(constB131, 2)) | v130(constB131, 2)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17567, 455, 17522])).
% 28.06/18.58 tff(17569,plain,
% 28.06/18.58 (v130(constB131, 2)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17568, 17561])).
% 28.06/18.58 tff(17570,plain,
% 28.06/18.58 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB131)) | (~v130(constB131, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB131)) | (~v130(constB131, 2)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17571,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB131)) | (~v130(constB131, 2)))),
% 28.06/18.58 inference(quant_inst,[status(thm)],[])).
% 28.06/18.58 tff(17572,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB131)) | (~v130(constB131, 2))),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17571, 17570])).
% 28.06/18.58 tff(17573,plain,
% 28.06/18.58 (~v121(constB131)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17572, 1155, 17569])).
% 28.06/18.58 tff(17574,plain,
% 28.06/18.58 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | (~v130(constB131, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | (~v130(constB131, 1)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17575,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | (~v130(constB131, 1)))),
% 28.06/18.58 inference(quant_inst,[status(thm)],[])).
% 28.06/18.58 tff(17576,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | (~v130(constB131, 1))),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17575, 17574])).
% 28.06/18.58 tff(17577,plain,
% 28.06/18.58 (v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17576, 2214, 17535])).
% 28.06/18.58 tff(17578,plain,
% 28.06/18.58 ($false),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17577, 17573, 17551, 17547, 17543, 17539, 17534])).
% 28.06/18.58 tff(17579,plain,((~v100(constB132)) | (~v130(constB131, 1)) | v26(constB131) | (~v90(constB132, 2)) | (~v90(constB132, 0))), inference(lemma,lemma(discharge,[]))).
% 28.06/18.58 tff(17580,plain,
% 28.06/18.58 (~v100(constB132)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17579, 17507, 17500, 17495, 17494])).
% 28.06/18.58 tff(17581,plain,
% 28.06/18.58 (v90(constB131, 1)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17393, 17580, 17493])).
% 28.06/18.58 tff(17582,plain,
% 28.06/18.58 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB131)) | (~v90(constB131, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB131)) | (~v90(constB131, 1)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17583,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB131)) | (~v90(constB131, 1)))),
% 28.06/18.58 inference(quant_inst,[status(thm)],[])).
% 28.06/18.58 tff(17584,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB131)) | (~v90(constB131, 1))),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17583, 17582])).
% 28.06/18.58 tff(17585,plain,
% 28.06/18.58 (~v124(constB131)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17584, 2097, 17581])).
% 28.06/18.58 tff(17586,plain,
% 28.06/18.58 (~v123(constB131)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17538, 1712, 17507])).
% 28.06/18.58 tff(17587,plain,
% 28.06/18.58 (~v122(constB131)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17542, 1424, 17507])).
% 28.06/18.58 tff(17588,plain,
% 28.06/18.58 (~v119(constB131)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17546, 527, 17507])).
% 28.06/18.58 tff(17589,plain,
% 28.06/18.58 (v90(constB131, 0)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17358, 17580, 17494])).
% 28.06/18.58 tff(17590,plain,
% 28.06/18.58 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB131)) | (~v90(constB131, 0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB131)) | (~v90(constB131, 0)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17591,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB131)) | (~v90(constB131, 0)))),
% 28.06/18.58 inference(quant_inst,[status(thm)],[])).
% 28.06/18.58 tff(17592,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB131)) | (~v90(constB131, 0))),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17591, 17590])).
% 28.06/18.58 tff(17593,plain,
% 28.06/18.58 (~v121(constB131)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17592, 4513, 17589])).
% 28.06/18.58 tff(17594,plain,
% 28.06/18.58 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB131)) | (~v90(constB131, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB131)) | (~v90(constB131, 1)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17595,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB131)) | (~v90(constB131, 1)))),
% 28.06/18.58 inference(quant_inst,[status(thm)],[])).
% 28.06/18.58 tff(17596,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB131)) | (~v90(constB131, 1))),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17595, 17594])).
% 28.06/18.58 tff(17597,plain,
% 28.06/18.58 (~v120(constB131)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17596, 2141, 17581])).
% 28.06/18.58 tff(17598,plain,
% 28.06/18.58 (v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17576, 2214, 17507])).
% 28.06/18.58 tff(17599,plain,
% 28.06/18.58 ($false),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17598, 17597, 17593, 17588, 17587, 17586, 17585])).
% 28.06/18.58 tff(17600,plain,((~v127(constB131, 1)) | (~v90(constB132, 1)) | (~v90(constB132, 0)) | (~v90(constB132, 2))), inference(lemma,lemma(discharge,[]))).
% 28.06/18.58 tff(17601,plain,
% 28.06/18.58 ($false),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17600, 17492, 17333, 17316, 17299])).
% 28.06/18.58 tff(17602,plain,(v100(constB138) | v90(constB129, 1) | (~v90(constB138, 0))), inference(lemma,lemma(discharge,[]))).
% 28.06/18.58 tff(17603,plain,
% 28.06/18.58 (v90(constB129, 1)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17602, 16794, 16611])).
% 28.06/18.58 tff(17604,plain,
% 28.06/18.58 ((~v1(constB129)) <=> (~v1(constB129))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17605,axiom,(~v1(constB129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_129_1_1')).
% 28.06/18.58 tff(17606,plain,
% 28.06/18.58 (~v1(constB129)),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17605, 17604])).
% 28.06/18.58 tff(17607,plain,
% 28.06/18.58 (nextState(constB128, constB129) <=> nextState(constB128, constB129)),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17608,axiom,(nextState(constB128, constB129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_128_1')).
% 28.06/18.58 tff(17609,plain,
% 28.06/18.58 (nextState(constB128, constB129)),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17608, 17607])).
% 28.06/18.58 tff(17610,plain,
% 28.06/18.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17611,plain,
% 28.06/18.58 (((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129)) <=> (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17612,plain,
% 28.06/18.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129))))),
% 28.06/18.58 inference(monotonicity,[status(thm)],[17611])).
% 28.06/18.58 tff(17613,plain,
% 28.06/18.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 28.06/18.58 inference(transitivity,[status(thm)],[17612, 17610])).
% 28.06/18.58 tff(17614,plain,
% 28.06/18.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))),
% 28.06/18.58 inference(quant_inst,[status(thm)],[])).
% 28.06/18.58 tff(17615,plain,
% 28.06/18.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129))),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17614, 17613])).
% 28.06/18.58 tff(17616,plain,
% 28.06/18.58 (~v101(constB129)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17615, 138, 17609, 17606])).
% 28.06/18.58 tff(17617,plain,
% 28.06/18.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17618,plain,
% 28.06/18.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))),
% 28.06/18.58 inference(quant_inst,[status(thm)],[])).
% 28.06/18.58 tff(17619,plain,
% 28.06/18.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129))),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17618, 17617])).
% 28.06/18.58 tff(17620,plain,
% 28.06/18.58 (v101(constB129) | (~v100(constB129))),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17619, 155, 17609])).
% 28.06/18.58 tff(17621,plain,
% 28.06/18.58 (~v100(constB129)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17620, 17616])).
% 28.06/18.58 tff(17622,plain,
% 28.06/18.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB128, 1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB128, 1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 1)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17623,plain,
% 28.06/18.58 (((~nextState(constB128, constB129)) | v90(constB128, 1) | v100(constB129) | (~v90(constB129, 1))) <=> (v90(constB128, 1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 1)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17624,plain,
% 28.06/18.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB128, constB129)) | v90(constB128, 1) | v100(constB129) | (~v90(constB129, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB128, 1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 1))))),
% 28.06/18.58 inference(monotonicity,[status(thm)],[17623])).
% 28.06/18.58 tff(17625,plain,
% 28.06/18.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB128, constB129)) | v90(constB128, 1) | v100(constB129) | (~v90(constB129, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB128, 1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 1)))),
% 28.06/18.58 inference(transitivity,[status(thm)],[17624, 17622])).
% 28.06/18.58 tff(17626,plain,
% 28.06/18.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB128, constB129)) | v90(constB128, 1) | v100(constB129) | (~v90(constB129, 1)))),
% 28.06/18.58 inference(quant_inst,[status(thm)],[])).
% 28.06/18.58 tff(17627,plain,
% 28.06/18.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB128, 1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 1))),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17626, 17625])).
% 28.06/18.58 tff(17628,plain,
% 28.06/18.58 (v90(constB128, 1) | v100(constB129) | (~v90(constB129, 1))),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17627, 191, 17609])).
% 28.06/18.58 tff(17629,plain,
% 28.06/18.58 (v90(constB128, 1) | (~v90(constB129, 1))),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17628, 17621])).
% 28.06/18.58 tff(17630,plain,
% 28.06/18.58 (v90(constB128, 1)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17629, 17603])).
% 28.06/18.58 tff(17631,plain,
% 28.06/18.58 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB129)) | (~v90(constB129, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB129)) | (~v90(constB129, 1)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17632,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB129)) | (~v90(constB129, 1)))),
% 28.06/18.58 inference(quant_inst,[status(thm)],[])).
% 28.06/18.58 tff(17633,plain,
% 28.06/18.58 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB129)) | (~v90(constB129, 1))),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17632, 17631])).
% 28.06/18.58 tff(17634,plain,
% 28.06/18.58 (~v124(constB129)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17633, 2097, 17603])).
% 28.06/18.58 tff(17635,plain,
% 28.06/18.58 (v90(constB137, 0)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[16802, 16794, 16611])).
% 28.06/18.58 tff(17636,plain,
% 28.06/18.58 (v90(constB136, 0)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[16861, 17635])).
% 28.06/18.58 tff(17637,plain,
% 28.06/18.58 (v90(constB137, 2)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[16828, 16814, 16810, 17635])).
% 28.06/18.58 tff(17638,plain,
% 28.06/18.58 (v90(constB136, 2)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[16852, 17637])).
% 28.06/18.58 tff(17639,plain,
% 28.06/18.58 (v90(constB137, 1) | (~v90(constB137, 2)) | v124(constB137)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[16869, 1794, 17635])).
% 28.06/18.58 tff(17640,plain,
% 28.06/18.58 (v90(constB137, 1)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17639, 17637, 16866])).
% 28.06/18.58 tff(17641,plain,
% 28.06/18.58 (v90(constB136, 1)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[16879, 17640])).
% 28.06/18.58 tff(17642,plain,
% 28.06/18.58 (v90(constB135, 1)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[16985, 17641, 17638, 17636])).
% 28.06/18.58 tff(17643,plain,
% 28.06/18.58 (v90(constB134, 1)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17155, 17642])).
% 28.06/18.58 tff(17644,plain,
% 28.06/18.58 (~v124(constB135)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[16989, 2097, 17642])).
% 28.06/18.58 tff(17645,plain,
% 28.06/18.58 (~v119(constB135)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[16993, 2086, 17642])).
% 28.06/18.58 tff(17646,plain,
% 28.06/18.58 (~v123(constB135)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17001, 2108, 17642])).
% 28.06/18.58 tff(17647,plain,
% 28.06/18.58 (~v120(constB135)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[16997, 2141, 17642])).
% 28.06/18.58 tff(17648,plain,
% 28.06/18.58 (v129(constB136, 0)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17092, 17647, 17636, 17646, 17645, 17638, 17644])).
% 28.06/18.58 tff(17649,plain,
% 28.06/18.58 (v127(constB135, 0)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[16906, 17648])).
% 28.06/18.58 tff(17650,plain,
% 28.06/18.58 (~v26(constB135)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[16910, 1370, 17649])).
% 28.06/18.58 tff(17651,plain,
% 28.06/18.58 (v130(constB135, 0)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[16941, 933, 17649, 17650])).
% 28.06/18.58 tff(17652,plain,
% 28.06/18.58 (~v122(constB135)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17099, 1351, 17651])).
% 28.06/18.58 tff(17653,plain,
% 28.06/18.58 (~v100(constB136)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17121, 17652, 17641, 17646, 17647, 17645, 17644, 17638, 17650])).
% 28.06/18.58 tff(17654,plain,
% 28.06/18.58 (v90(constB135, 0)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17055, 17653, 17636])).
% 28.06/18.58 tff(17655,plain,
% 28.06/18.58 (v90(constB134, 0)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17165, 17654])).
% 28.06/18.58 tff(17656,plain,
% 28.06/18.58 (v90(constB135, 2)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17067, 17653, 17638])).
% 28.06/18.58 tff(17657,plain,
% 28.06/18.58 (v90(constB134, 2)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17146, 17656])).
% 28.06/18.58 tff(17658,plain,
% 28.06/18.58 (~v100(constB134)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17263, 17657, 17655, 17643])).
% 28.06/18.58 tff(17659,plain,
% 28.06/18.58 (v90(constB133, 1)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17323, 17658, 17643])).
% 28.06/18.58 tff(17660,plain,
% 28.06/18.58 (v90(constB132, 1)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17332, 17659])).
% 28.06/18.58 tff(17661,plain,
% 28.06/18.58 (v90(constB133, 2)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17271, 17658, 17657])).
% 28.06/18.58 tff(17662,plain,
% 28.06/18.58 (v90(constB132, 2)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17298, 17661])).
% 28.06/18.58 tff(17663,plain,
% 28.06/18.58 (v90(constB133, 0)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17306, 17658, 17655])).
% 28.06/18.58 tff(17664,plain,
% 28.06/18.58 (v90(constB132, 0)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17315, 17663])).
% 28.06/18.58 tff(17665,plain,
% 28.06/18.58 (~v127(constB131, 1)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17600, 17660, 17664, 17662])).
% 28.06/18.58 tff(17666,plain,
% 28.06/18.58 (~v129(constB132, 1)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17491, 17665])).
% 28.06/18.58 tff(17667,plain,
% 28.06/18.58 (~v100(constB132)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17346, 574, 17660, 17666])).
% 28.06/18.58 tff(17668,plain,
% 28.06/18.58 (v90(constB131, 1)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17393, 17667, 17660])).
% 28.06/18.58 tff(17669,plain,
% 28.06/18.58 (v90(constB130, 1)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17402, 17668])).
% 28.06/18.58 tff(17670,plain,
% 28.06/18.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB131, 2) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB131, 2) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 2)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17671,plain,
% 28.06/18.58 (((~nextState(constB131, constB132)) | v90(constB131, 2) | v100(constB132) | (~v90(constB132, 2))) <=> (v90(constB131, 2) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 2)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17672,plain,
% 28.06/18.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB131, constB132)) | v90(constB131, 2) | v100(constB132) | (~v90(constB132, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB131, 2) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 2))))),
% 28.06/18.58 inference(monotonicity,[status(thm)],[17671])).
% 28.06/18.58 tff(17673,plain,
% 28.06/18.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB131, constB132)) | v90(constB131, 2) | v100(constB132) | (~v90(constB132, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB131, 2) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 2)))),
% 28.06/18.58 inference(transitivity,[status(thm)],[17672, 17670])).
% 28.06/18.58 tff(17674,plain,
% 28.06/18.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB131, constB132)) | v90(constB131, 2) | v100(constB132) | (~v90(constB132, 2)))),
% 28.06/18.58 inference(quant_inst,[status(thm)],[])).
% 28.06/18.58 tff(17675,plain,
% 28.06/18.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB131, 2) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 2))),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17674, 17673])).
% 28.06/18.58 tff(17676,plain,
% 28.06/18.58 (v90(constB131, 2) | v100(constB132) | (~v90(constB132, 2))),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17675, 170, 17351])).
% 28.06/18.58 tff(17677,plain,
% 28.06/18.58 (v90(constB131, 2)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17676, 17667, 17662])).
% 28.06/18.58 tff(17678,plain,
% 28.06/18.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB130, 2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB130, 2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 2)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17679,plain,
% 28.06/18.58 (((~nextState(constB130, constB131)) | v90(constB130, 2) | v100(constB131) | (~v90(constB131, 2))) <=> (v90(constB130, 2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 2)))),
% 28.06/18.58 inference(rewrite,[status(thm)],[])).
% 28.06/18.58 tff(17680,plain,
% 28.06/18.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB130, constB131)) | v90(constB130, 2) | v100(constB131) | (~v90(constB131, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB130, 2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 2))))),
% 28.06/18.58 inference(monotonicity,[status(thm)],[17679])).
% 28.06/18.58 tff(17681,plain,
% 28.06/18.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB130, constB131)) | v90(constB130, 2) | v100(constB131) | (~v90(constB131, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB130, 2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 2)))),
% 28.06/18.58 inference(transitivity,[status(thm)],[17680, 17678])).
% 28.06/18.58 tff(17682,plain,
% 28.06/18.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB130, constB131)) | v90(constB130, 2) | v100(constB131) | (~v90(constB131, 2)))),
% 28.06/18.58 inference(quant_inst,[status(thm)],[])).
% 28.06/18.58 tff(17683,plain,
% 28.06/18.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB130, 2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 2))),
% 28.06/18.58 inference(modus_ponens,[status(thm)],[17682, 17681])).
% 28.06/18.58 tff(17684,plain,
% 28.06/18.58 (v90(constB130, 2) | v100(constB131) | (~v90(constB131, 2))),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17683, 170, 17365])).
% 28.06/18.58 tff(17685,plain,
% 28.06/18.58 (v90(constB130, 2) | (~v90(constB131, 2))),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17684, 17377])).
% 28.06/18.58 tff(17686,plain,
% 28.06/18.58 (v90(constB130, 2)),
% 28.06/18.58 inference(unit_resolution,[status(thm)],[17685, 17677])).
% 28.06/18.58 tff(17687,plain,
% 28.06/18.58 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB129)) | (~v90(constB129, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB129)) | (~v90(constB129, 1)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17688,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB129)) | (~v90(constB129, 1)))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17689,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB129)) | (~v90(constB129, 1))),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17688, 17687])).
% 28.06/18.59 tff(17690,plain,
% 28.06/18.59 (~v119(constB129)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17689, 2086, 17603])).
% 28.06/18.59 tff(17691,plain,
% 28.06/18.59 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB129)) | (~v90(constB129, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB129)) | (~v90(constB129, 1)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17692,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB129)) | (~v90(constB129, 1)))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17693,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB129)) | (~v90(constB129, 1))),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17692, 17691])).
% 28.06/18.59 tff(17694,plain,
% 28.06/18.59 (~v120(constB129)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17693, 2141, 17603])).
% 28.06/18.59 tff(17695,plain,
% 28.06/18.59 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB129)) | (~v90(constB129, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB129)) | (~v90(constB129, 1)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17696,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB129)) | (~v90(constB129, 1)))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17697,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB129)) | (~v90(constB129, 1))),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17696, 17695])).
% 28.06/18.59 tff(17698,plain,
% 28.06/18.59 (~v123(constB129)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17697, 2108, 17603])).
% 28.06/18.59 tff(17699,plain,
% 28.06/18.59 (v90(constB131, 0)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17358, 17667, 17664])).
% 28.06/18.59 tff(17700,plain,
% 28.06/18.59 (v90(constB130, 0)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17385, 17699])).
% 28.06/18.59 tff(17701,assumption,(v90(constB130, 0)), introduced(assumption)).
% 28.06/18.59 tff(17702,assumption,(~v90(constB129, 0)), introduced(assumption)).
% 28.06/18.59 tff(17703,plain,
% 28.06/18.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB129, 0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB129, 0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 0)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17704,plain,
% 28.06/18.59 (((~nextState(constB129, constB130)) | v90(constB129, 0) | v100(constB130) | (~v90(constB130, 0))) <=> (v90(constB129, 0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 0)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17705,plain,
% 28.06/18.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB129, constB130)) | v90(constB129, 0) | v100(constB130) | (~v90(constB130, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB129, 0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 0))))),
% 28.06/18.59 inference(monotonicity,[status(thm)],[17704])).
% 28.06/18.59 tff(17706,plain,
% 28.06/18.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB129, constB130)) | v90(constB129, 0) | v100(constB130) | (~v90(constB130, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB129, 0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 0)))),
% 28.06/18.59 inference(transitivity,[status(thm)],[17705, 17703])).
% 28.06/18.59 tff(17707,plain,
% 28.06/18.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB129, constB130)) | v90(constB129, 0) | v100(constB130) | (~v90(constB130, 0)))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17708,plain,
% 28.06/18.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB129, 0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 0))),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17707, 17706])).
% 28.06/18.59 tff(17709,plain,
% 28.06/18.59 (v90(constB129, 0) | v100(constB130) | (~v90(constB130, 0))),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17708, 212, 17406])).
% 28.06/18.59 tff(17710,plain,
% 28.06/18.59 (v100(constB130)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17709, 17702, 17701])).
% 28.06/18.59 tff(17711,assumption,(v90(constB130, 1)), introduced(assumption)).
% 28.06/18.59 tff(17712,plain,
% 28.06/18.59 (v129(constB130, 1) | (~v100(constB130))),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17436, 574, 17711])).
% 28.06/18.59 tff(17713,plain,
% 28.06/18.59 (v129(constB130, 1)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17712, 17710])).
% 28.06/18.59 tff(17714,plain,
% 28.06/18.59 (v127(constB129, 1)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17441, 17713])).
% 28.06/18.59 tff(17715,plain,
% 28.06/18.59 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | ((~v26(constB129)) | (~v127(constB129, 1)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | (~v26(constB129)) | (~v127(constB129, 1)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17716,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | ((~v26(constB129)) | (~v127(constB129, 1)))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17717,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | (~v26(constB129)) | (~v127(constB129, 1))),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17716, 17715])).
% 28.06/18.59 tff(17718,plain,
% 28.06/18.59 (~v26(constB129)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17717, 5538, 17714])).
% 28.06/18.59 tff(17719,assumption,(v90(constB130, 2)), introduced(assumption)).
% 28.06/18.59 tff(17720,plain,
% 28.06/18.59 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB130, 2)) | v129(constB130, 2) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB130, 2)) | v129(constB130, 2) | (~v100(constB130)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17721,plain,
% 28.06/18.59 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB130, 2)) | v129(constB130, 2) | (~v100(constB130)))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17722,plain,
% 28.06/18.59 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB130, 2)) | v129(constB130, 2) | (~v100(constB130))),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17721, 17720])).
% 28.06/18.59 tff(17723,plain,
% 28.06/18.59 (v129(constB130, 2) | (~v100(constB130))),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17722, 488, 17719])).
% 28.06/18.59 tff(17724,plain,
% 28.06/18.59 (v129(constB130, 2)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17723, 17710])).
% 28.06/18.59 tff(17725,plain,
% 28.06/18.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB129, constB130)) | v127(constB129, 2) | (~v129(constB130, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB129, constB130)) | v127(constB129, 2) | (~v129(constB130, 2)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17726,plain,
% 28.06/18.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB129, constB130)) | v127(constB129, 2) | (~v129(constB130, 2)))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17727,plain,
% 28.06/18.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB129, constB130)) | v127(constB129, 2) | (~v129(constB130, 2))),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17726, 17725])).
% 28.06/18.59 tff(17728,plain,
% 28.06/18.59 (v127(constB129, 2) | (~v129(constB130, 2))),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17727, 473, 17406])).
% 28.06/18.59 tff(17729,plain,
% 28.06/18.59 (v127(constB129, 2)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17728, 17724])).
% 28.06/18.59 tff(17730,plain,
% 28.06/18.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB129, 2)) | v26(constB129) | v130(constB129, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB129, 2)) | v26(constB129) | v130(constB129, 2))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17731,plain,
% 28.06/18.59 ((v26(constB129) | v130(constB129, 2) | (~v127(constB129, 2))) <=> ((~v127(constB129, 2)) | v26(constB129) | v130(constB129, 2))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17732,plain,
% 28.06/18.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB129) | v130(constB129, 2) | (~v127(constB129, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB129, 2)) | v26(constB129) | v130(constB129, 2)))),
% 28.06/18.59 inference(monotonicity,[status(thm)],[17731])).
% 28.06/18.59 tff(17733,plain,
% 28.06/18.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB129) | v130(constB129, 2) | (~v127(constB129, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB129, 2)) | v26(constB129) | v130(constB129, 2))),
% 28.06/18.59 inference(transitivity,[status(thm)],[17732, 17730])).
% 28.06/18.59 tff(17734,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB129) | v130(constB129, 2) | (~v127(constB129, 2)))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17735,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB129, 2)) | v26(constB129) | v130(constB129, 2)),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17734, 17733])).
% 28.06/18.59 tff(17736,plain,
% 28.06/18.59 (v130(constB129, 2)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17735, 455, 17729, 17718])).
% 28.06/18.59 tff(17737,plain,
% 28.06/18.59 (v130(constB129, 1)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17448, 541, 17714, 17718])).
% 28.06/18.59 tff(17738,plain,
% 28.06/18.59 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB129)) | v90(constB129, 0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB129)) | v90(constB129, 0))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17739,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB129)) | v90(constB129, 0))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17740,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB129)) | v90(constB129, 0)),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17739, 17738])).
% 28.06/18.59 tff(17741,plain,
% 28.06/18.59 (~v122(constB129)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17740, 3757, 17702])).
% 28.06/18.59 tff(17742,assumption,(~v119(constB129)), introduced(assumption)).
% 28.06/18.59 tff(17743,assumption,(~v120(constB129)), introduced(assumption)).
% 28.06/18.59 tff(17744,assumption,(~v123(constB129)), introduced(assumption)).
% 28.06/18.59 tff(17745,assumption,(~v124(constB129)), introduced(assumption)).
% 28.06/18.59 tff(17746,plain,
% 28.06/18.59 (v121(constB129) | v122(constB129) | (~v130(constB129, 1))),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17483, 2214, 17745, 17744, 17743, 17742])).
% 28.06/18.59 tff(17747,plain,
% 28.06/18.59 (v121(constB129)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17746, 17741, 17737])).
% 28.06/18.59 tff(17748,plain,
% 28.06/18.59 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB129)) | (~v130(constB129, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB129)) | (~v130(constB129, 2)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17749,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB129)) | (~v130(constB129, 2)))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17750,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB129)) | (~v130(constB129, 2))),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17749, 17748])).
% 28.06/18.59 tff(17751,plain,
% 28.06/18.59 ($false),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17750, 1155, 17747, 17736])).
% 28.06/18.59 tff(17752,plain,(v90(constB129, 0) | v124(constB129) | v123(constB129) | v120(constB129) | v119(constB129) | (~v90(constB130, 2)) | (~v90(constB130, 1)) | (~v90(constB130, 0))), inference(lemma,lemma(discharge,[]))).
% 28.06/18.59 tff(17753,plain,
% 28.06/18.59 (v90(constB129, 0)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17752, 17700, 17698, 17694, 17690, 17686, 17669, 17634])).
% 28.06/18.59 tff(17754,plain,
% 28.06/18.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB128, 0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB128, 0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 0)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17755,plain,
% 28.06/18.59 (((~nextState(constB128, constB129)) | v90(constB128, 0) | v100(constB129) | (~v90(constB129, 0))) <=> (v90(constB128, 0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 0)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17756,plain,
% 28.06/18.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB128, constB129)) | v90(constB128, 0) | v100(constB129) | (~v90(constB129, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB128, 0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 0))))),
% 28.06/18.59 inference(monotonicity,[status(thm)],[17755])).
% 28.06/18.59 tff(17757,plain,
% 28.06/18.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB128, constB129)) | v90(constB128, 0) | v100(constB129) | (~v90(constB129, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB128, 0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 0)))),
% 28.06/18.59 inference(transitivity,[status(thm)],[17756, 17754])).
% 28.06/18.59 tff(17758,plain,
% 28.06/18.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB128, constB129)) | v90(constB128, 0) | v100(constB129) | (~v90(constB129, 0)))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17759,plain,
% 28.06/18.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB128, 0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 0))),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17758, 17757])).
% 28.06/18.59 tff(17760,plain,
% 28.06/18.59 (v90(constB128, 0) | v100(constB129) | (~v90(constB129, 0))),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17759, 212, 17609])).
% 28.06/18.59 tff(17761,plain,
% 28.06/18.59 (v90(constB128, 0) | (~v90(constB129, 0))),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17760, 17621])).
% 28.06/18.59 tff(17762,plain,
% 28.06/18.59 (v90(constB128, 0)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17761, 17753])).
% 28.06/18.59 tff(17763,assumption,(v90(constB129, 0)), introduced(assumption)).
% 28.06/18.59 tff(17764,assumption,(~v90(constB129, 2)), introduced(assumption)).
% 28.06/18.59 tff(17765,assumption,(v90(constB129, 1)), introduced(assumption)).
% 28.06/18.59 tff(17766,plain,
% 28.06/18.59 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB129, 0)) | (~v90(constB129, 1)) | v90(constB129, 2) | v122(constB129))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB129, 0)) | (~v90(constB129, 1)) | v90(constB129, 2) | v122(constB129))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17767,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB129, 0)) | (~v90(constB129, 1)) | v90(constB129, 2) | v122(constB129))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17768,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB129, 0)) | (~v90(constB129, 1)) | v90(constB129, 2) | v122(constB129)),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17767, 17766])).
% 28.06/18.59 tff(17769,plain,
% 28.06/18.59 ((~v90(constB129, 0)) | v90(constB129, 2) | v122(constB129)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17768, 1260, 17765])).
% 28.06/18.59 tff(17770,plain,
% 28.06/18.59 (v122(constB129)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17769, 17764, 17763])).
% 28.06/18.59 tff(17771,plain,
% 28.06/18.59 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB129)) | (~v130(constB129, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB129)) | (~v130(constB129, 1)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17772,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB129)) | (~v130(constB129, 1)))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17773,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB129)) | (~v130(constB129, 1))),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17772, 17771])).
% 28.06/18.59 tff(17774,plain,
% 28.06/18.59 (~v130(constB129, 1)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17773, 1424, 17770])).
% 28.06/18.59 tff(17775,plain,
% 28.06/18.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB129, 2) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB129, 2) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 2)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17776,plain,
% 28.06/18.59 (((~nextState(constB129, constB130)) | v90(constB129, 2) | v100(constB130) | (~v90(constB130, 2))) <=> (v90(constB129, 2) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 2)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17777,plain,
% 28.06/18.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB129, constB130)) | v90(constB129, 2) | v100(constB130) | (~v90(constB130, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB129, 2) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 2))))),
% 28.06/18.59 inference(monotonicity,[status(thm)],[17776])).
% 28.06/18.59 tff(17778,plain,
% 28.06/18.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB129, constB130)) | v90(constB129, 2) | v100(constB130) | (~v90(constB130, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB129, 2) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 2)))),
% 28.06/18.59 inference(transitivity,[status(thm)],[17777, 17775])).
% 28.06/18.59 tff(17779,plain,
% 28.06/18.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB129, constB130)) | v90(constB129, 2) | v100(constB130) | (~v90(constB130, 2)))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17780,plain,
% 28.06/18.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB129, 2) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 2))),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17779, 17778])).
% 28.06/18.59 tff(17781,plain,
% 28.06/18.59 (v90(constB129, 2) | v100(constB130) | (~v90(constB130, 2))),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17780, 170, 17406])).
% 28.06/18.59 tff(17782,plain,
% 28.06/18.59 (v100(constB130)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17781, 17764, 17719])).
% 28.06/18.59 tff(17783,plain,
% 28.06/18.59 (v129(constB130, 1)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17712, 17782])).
% 28.06/18.59 tff(17784,plain,
% 28.06/18.59 (v127(constB129, 1)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17441, 17783])).
% 28.06/18.59 tff(17785,plain,
% 28.06/18.59 (~v26(constB129)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17717, 5538, 17784])).
% 28.06/18.59 tff(17786,plain,
% 28.06/18.59 ($false),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17448, 541, 17784, 17785, 17774])).
% 28.06/18.59 tff(17787,plain,(v90(constB129, 2) | (~v90(constB130, 1)) | (~v90(constB129, 0)) | (~v90(constB129, 1)) | (~v90(constB130, 2))), inference(lemma,lemma(discharge,[]))).
% 28.06/18.59 tff(17788,plain,
% 28.06/18.59 (v90(constB129, 2)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17787, 17753, 17669, 17603, 17686])).
% 28.06/18.59 tff(17789,plain,
% 28.06/18.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB128, 2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB128, 2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 2)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17790,plain,
% 28.06/18.59 (((~nextState(constB128, constB129)) | v90(constB128, 2) | v100(constB129) | (~v90(constB129, 2))) <=> (v90(constB128, 2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 2)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17791,plain,
% 28.06/18.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB128, constB129)) | v90(constB128, 2) | v100(constB129) | (~v90(constB129, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB128, 2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 2))))),
% 28.06/18.59 inference(monotonicity,[status(thm)],[17790])).
% 28.06/18.59 tff(17792,plain,
% 28.06/18.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB128, constB129)) | v90(constB128, 2) | v100(constB129) | (~v90(constB129, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB128, 2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 2)))),
% 28.06/18.59 inference(transitivity,[status(thm)],[17791, 17789])).
% 28.06/18.59 tff(17793,plain,
% 28.06/18.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB128, constB129)) | v90(constB128, 2) | v100(constB129) | (~v90(constB129, 2)))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17794,plain,
% 28.06/18.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB128, 2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 2))),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17793, 17792])).
% 28.06/18.59 tff(17795,plain,
% 28.06/18.59 (v90(constB128, 2) | v100(constB129) | (~v90(constB129, 2))),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17794, 170, 17609])).
% 28.06/18.59 tff(17796,plain,
% 28.06/18.59 (v90(constB128, 2) | (~v90(constB129, 2))),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17795, 17621])).
% 28.06/18.59 tff(17797,plain,
% 28.06/18.59 (v90(constB128, 2)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17796, 17788])).
% 28.06/18.59 tff(17798,assumption,(v26(constB127)), introduced(assumption)).
% 28.06/18.59 tff(17799,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB127))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17800,plain,
% 28.06/18.59 ($false),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17799, 95, 17798])).
% 28.06/18.59 tff(17801,plain,(~v26(constB127)), inference(lemma,lemma(discharge,[]))).
% 28.06/18.59 tff(17802,assumption,(v100(constB128)), introduced(assumption)).
% 28.06/18.59 tff(17803,assumption,(v90(constB128, 0)), introduced(assumption)).
% 28.06/18.59 tff(17804,plain,
% 28.06/18.59 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB128, 0)) | v129(constB128, 0) | (~v100(constB128)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB128, 0)) | v129(constB128, 0) | (~v100(constB128)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17805,plain,
% 28.06/18.59 (((~v90(constB128, 0)) | (~v100(constB128)) | v129(constB128, 0)) <=> ((~v90(constB128, 0)) | v129(constB128, 0) | (~v100(constB128)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17806,plain,
% 28.06/18.59 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB128, 0)) | (~v100(constB128)) | v129(constB128, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB128, 0)) | v129(constB128, 0) | (~v100(constB128))))),
% 28.06/18.59 inference(monotonicity,[status(thm)],[17805])).
% 28.06/18.59 tff(17807,plain,
% 28.06/18.59 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB128, 0)) | (~v100(constB128)) | v129(constB128, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB128, 0)) | v129(constB128, 0) | (~v100(constB128)))),
% 28.06/18.59 inference(transitivity,[status(thm)],[17806, 17804])).
% 28.06/18.59 tff(17808,plain,
% 28.06/18.59 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB128, 0)) | (~v100(constB128)) | v129(constB128, 0))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17809,plain,
% 28.06/18.59 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB128, 0)) | v129(constB128, 0) | (~v100(constB128))),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17808, 17807])).
% 28.06/18.59 tff(17810,plain,
% 28.06/18.59 (v129(constB128, 0) | (~v100(constB128))),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17809, 966, 17803])).
% 28.06/18.59 tff(17811,plain,
% 28.06/18.59 (v129(constB128, 0)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17810, 17802])).
% 28.06/18.59 tff(17812,plain,
% 28.06/18.59 (nextState(constB127, constB128) <=> nextState(constB127, constB128)),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17813,axiom,(nextState(constB127, constB128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_127_1')).
% 28.06/18.59 tff(17814,plain,
% 28.06/18.59 (nextState(constB127, constB128)),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17813, 17812])).
% 28.06/18.59 tff(17815,plain,
% 28.06/18.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB127, constB128)) | v127(constB127, 0) | (~v129(constB128, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB127, constB128)) | v127(constB127, 0) | (~v129(constB128, 0)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17816,plain,
% 28.06/18.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB127, constB128)) | v127(constB127, 0) | (~v129(constB128, 0)))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17817,plain,
% 28.06/18.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB127, constB128)) | v127(constB127, 0) | (~v129(constB128, 0))),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17816, 17815])).
% 28.06/18.59 tff(17818,plain,
% 28.06/18.59 (v127(constB127, 0) | (~v129(constB128, 0))),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17817, 951, 17814])).
% 28.06/18.59 tff(17819,plain,
% 28.06/18.59 (v127(constB127, 0)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17818, 17811])).
% 28.06/18.59 tff(17820,assumption,(~v26(constB127)), introduced(assumption)).
% 28.06/18.59 tff(17821,plain,
% 28.06/18.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB127, 0)) | v26(constB127) | v130(constB127, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB127, 0)) | v26(constB127) | v130(constB127, 0))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17822,plain,
% 28.06/18.59 ((v26(constB127) | v130(constB127, 0) | (~v127(constB127, 0))) <=> ((~v127(constB127, 0)) | v26(constB127) | v130(constB127, 0))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17823,plain,
% 28.06/18.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB127) | v130(constB127, 0) | (~v127(constB127, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB127, 0)) | v26(constB127) | v130(constB127, 0)))),
% 28.06/18.59 inference(monotonicity,[status(thm)],[17822])).
% 28.06/18.59 tff(17824,plain,
% 28.06/18.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB127) | v130(constB127, 0) | (~v127(constB127, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB127, 0)) | v26(constB127) | v130(constB127, 0))),
% 28.06/18.59 inference(transitivity,[status(thm)],[17823, 17821])).
% 28.06/18.59 tff(17825,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB127) | v130(constB127, 0) | (~v127(constB127, 0)))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17826,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB127, 0)) | v26(constB127) | v130(constB127, 0)),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17825, 17824])).
% 28.06/18.59 tff(17827,plain,
% 28.06/18.59 ((~v127(constB127, 0)) | v130(constB127, 0)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17826, 933, 17820])).
% 28.06/18.59 tff(17828,plain,
% 28.06/18.59 (v130(constB127, 0)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17827, 17819])).
% 28.06/18.59 tff(17829,plain,
% 28.06/18.59 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB127)) | (~v130(constB127, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB127)) | (~v130(constB127, 0)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17830,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB127)) | (~v130(constB127, 0)))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17831,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB127)) | (~v130(constB127, 0))),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17830, 17829])).
% 28.06/18.59 tff(17832,plain,
% 28.06/18.59 (~v124(constB127)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17831, 1967, 17828])).
% 28.06/18.59 tff(17833,assumption,(v90(constB128, 1)), introduced(assumption)).
% 28.06/18.59 tff(17834,plain,
% 28.06/18.59 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB128, 1)) | v129(constB128, 1) | (~v100(constB128)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB128, 1)) | v129(constB128, 1) | (~v100(constB128)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17835,plain,
% 28.06/18.59 (((~v90(constB128, 1)) | (~v100(constB128)) | v129(constB128, 1)) <=> ((~v90(constB128, 1)) | v129(constB128, 1) | (~v100(constB128)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17836,plain,
% 28.06/18.59 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB128, 1)) | (~v100(constB128)) | v129(constB128, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB128, 1)) | v129(constB128, 1) | (~v100(constB128))))),
% 28.06/18.59 inference(monotonicity,[status(thm)],[17835])).
% 28.06/18.59 tff(17837,plain,
% 28.06/18.59 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB128, 1)) | (~v100(constB128)) | v129(constB128, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB128, 1)) | v129(constB128, 1) | (~v100(constB128)))),
% 28.06/18.59 inference(transitivity,[status(thm)],[17836, 17834])).
% 28.06/18.59 tff(17838,plain,
% 28.06/18.59 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB128, 1)) | (~v100(constB128)) | v129(constB128, 1))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17839,plain,
% 28.06/18.59 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB128, 1)) | v129(constB128, 1) | (~v100(constB128))),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17838, 17837])).
% 28.06/18.59 tff(17840,plain,
% 28.06/18.59 (v129(constB128, 1) | (~v100(constB128))),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17839, 574, 17833])).
% 28.06/18.59 tff(17841,plain,
% 28.06/18.59 (v129(constB128, 1)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17840, 17802])).
% 28.06/18.59 tff(17842,plain,
% 28.06/18.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB127, constB128)) | v127(constB127, 1) | (~v129(constB128, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB127, constB128)) | v127(constB127, 1) | (~v129(constB128, 1)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17843,plain,
% 28.06/18.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB127, constB128)) | v127(constB127, 1) | (~v129(constB128, 1)))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17844,plain,
% 28.06/18.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB127, constB128)) | v127(constB127, 1) | (~v129(constB128, 1))),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17843, 17842])).
% 28.06/18.59 tff(17845,plain,
% 28.06/18.59 (v127(constB127, 1) | (~v129(constB128, 1))),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17844, 559, 17814])).
% 28.06/18.59 tff(17846,plain,
% 28.06/18.59 (v127(constB127, 1)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17845, 17841])).
% 28.06/18.59 tff(17847,plain,
% 28.06/18.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB127, 1)) | v26(constB127) | v130(constB127, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB127, 1)) | v26(constB127) | v130(constB127, 1))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17848,plain,
% 28.06/18.59 ((v26(constB127) | v130(constB127, 1) | (~v127(constB127, 1))) <=> ((~v127(constB127, 1)) | v26(constB127) | v130(constB127, 1))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17849,plain,
% 28.06/18.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB127) | v130(constB127, 1) | (~v127(constB127, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB127, 1)) | v26(constB127) | v130(constB127, 1)))),
% 28.06/18.59 inference(monotonicity,[status(thm)],[17848])).
% 28.06/18.59 tff(17850,plain,
% 28.06/18.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB127) | v130(constB127, 1) | (~v127(constB127, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB127, 1)) | v26(constB127) | v130(constB127, 1))),
% 28.06/18.59 inference(transitivity,[status(thm)],[17849, 17847])).
% 28.06/18.59 tff(17851,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB127) | v130(constB127, 1) | (~v127(constB127, 1)))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17852,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB127, 1)) | v26(constB127) | v130(constB127, 1)),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17851, 17850])).
% 28.06/18.59 tff(17853,plain,
% 28.06/18.59 ((~v127(constB127, 1)) | v130(constB127, 1)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17852, 541, 17820])).
% 28.06/18.59 tff(17854,plain,
% 28.06/18.59 (v130(constB127, 1)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17853, 17846])).
% 28.06/18.59 tff(17855,plain,
% 28.06/18.59 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB127)) | (~v130(constB127, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB127)) | (~v130(constB127, 1)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17856,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB127)) | (~v130(constB127, 1)))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17857,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB127)) | (~v130(constB127, 1))),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17856, 17855])).
% 28.06/18.59 tff(17858,plain,
% 28.06/18.59 (~v123(constB127)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17857, 1712, 17854])).
% 28.06/18.59 tff(17859,plain,
% 28.06/18.59 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB127)) | (~v130(constB127, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB127)) | (~v130(constB127, 1)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17860,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB127)) | (~v130(constB127, 1)))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17861,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB127)) | (~v130(constB127, 1))),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17860, 17859])).
% 28.06/18.59 tff(17862,plain,
% 28.06/18.59 (~v122(constB127)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17861, 1424, 17854])).
% 28.06/18.59 tff(17863,plain,
% 28.06/18.59 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB127)) | (~v130(constB127, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB127)) | (~v130(constB127, 0)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17864,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB127)) | (~v130(constB127, 0)))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17865,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB127)) | (~v130(constB127, 0))),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17864, 17863])).
% 28.06/18.59 tff(17866,plain,
% 28.06/18.59 (~v120(constB127)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17865, 919, 17828])).
% 28.06/18.59 tff(17867,plain,
% 28.06/18.59 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB127)) | (~v130(constB127, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB127)) | (~v130(constB127, 1)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17868,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB127)) | (~v130(constB127, 1)))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17869,plain,
% 28.06/18.59 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB127)) | (~v130(constB127, 1))),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17868, 17867])).
% 28.06/18.59 tff(17870,plain,
% 28.06/18.59 (~v119(constB127)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17869, 527, 17854])).
% 28.06/18.59 tff(17871,assumption,(v90(constB128, 2)), introduced(assumption)).
% 28.06/18.59 tff(17872,plain,
% 28.06/18.59 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB128, 2)) | v129(constB128, 2) | (~v100(constB128)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB128, 2)) | v129(constB128, 2) | (~v100(constB128)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17873,plain,
% 28.06/18.59 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB128, 2)) | v129(constB128, 2) | (~v100(constB128)))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17874,plain,
% 28.06/18.59 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB128, 2)) | v129(constB128, 2) | (~v100(constB128))),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17873, 17872])).
% 28.06/18.59 tff(17875,plain,
% 28.06/18.59 (v129(constB128, 2) | (~v100(constB128))),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17874, 488, 17871])).
% 28.06/18.59 tff(17876,plain,
% 28.06/18.59 (v129(constB128, 2)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17875, 17802])).
% 28.06/18.59 tff(17877,plain,
% 28.06/18.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB127, constB128)) | v127(constB127, 2) | (~v129(constB128, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB127, constB128)) | v127(constB127, 2) | (~v129(constB128, 2)))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17878,plain,
% 28.06/18.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB127, constB128)) | v127(constB127, 2) | (~v129(constB128, 2)))),
% 28.06/18.59 inference(quant_inst,[status(thm)],[])).
% 28.06/18.59 tff(17879,plain,
% 28.06/18.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB127, constB128)) | v127(constB127, 2) | (~v129(constB128, 2))),
% 28.06/18.59 inference(modus_ponens,[status(thm)],[17878, 17877])).
% 28.06/18.59 tff(17880,plain,
% 28.06/18.59 (v127(constB127, 2) | (~v129(constB128, 2))),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17879, 473, 17814])).
% 28.06/18.59 tff(17881,plain,
% 28.06/18.59 (v127(constB127, 2)),
% 28.06/18.59 inference(unit_resolution,[status(thm)],[17880, 17876])).
% 28.06/18.59 tff(17882,plain,
% 28.06/18.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB127, 2)) | v26(constB127) | v130(constB127, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB127, 2)) | v26(constB127) | v130(constB127, 2))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17883,plain,
% 28.06/18.59 ((v26(constB127) | v130(constB127, 2) | (~v127(constB127, 2))) <=> ((~v127(constB127, 2)) | v26(constB127) | v130(constB127, 2))),
% 28.06/18.59 inference(rewrite,[status(thm)],[])).
% 28.06/18.59 tff(17884,plain,
% 28.06/18.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB127) | v130(constB127, 2) | (~v127(constB127, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB127, 2)) | v26(constB127) | v130(constB127, 2)))),
% 28.06/18.60 inference(monotonicity,[status(thm)],[17883])).
% 28.06/18.60 tff(17885,plain,
% 28.06/18.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB127) | v130(constB127, 2) | (~v127(constB127, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB127, 2)) | v26(constB127) | v130(constB127, 2))),
% 28.06/18.60 inference(transitivity,[status(thm)],[17884, 17882])).
% 28.06/18.60 tff(17886,plain,
% 28.06/18.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB127) | v130(constB127, 2) | (~v127(constB127, 2)))),
% 28.06/18.60 inference(quant_inst,[status(thm)],[])).
% 28.06/18.60 tff(17887,plain,
% 28.06/18.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB127, 2)) | v26(constB127) | v130(constB127, 2)),
% 28.06/18.60 inference(modus_ponens,[status(thm)],[17886, 17885])).
% 28.06/18.60 tff(17888,plain,
% 28.06/18.60 ((~v127(constB127, 2)) | v130(constB127, 2)),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17887, 455, 17820])).
% 28.06/18.60 tff(17889,plain,
% 28.06/18.60 (v130(constB127, 2)),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17888, 17881])).
% 28.06/18.60 tff(17890,plain,
% 28.06/18.60 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB127) | v120(constB127) | v121(constB127) | v122(constB127) | v123(constB127) | v124(constB127) | (~v130(constB127, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB127) | v120(constB127) | v121(constB127) | v122(constB127) | v123(constB127) | v124(constB127) | (~v130(constB127, 2)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(17891,plain,
% 28.06/18.60 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB127) | v120(constB127) | v121(constB127) | v122(constB127) | v123(constB127) | v124(constB127) | (~v130(constB127, 2)))),
% 28.06/18.60 inference(quant_inst,[status(thm)],[])).
% 28.06/18.60 tff(17892,plain,
% 28.06/18.60 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB127) | v120(constB127) | v121(constB127) | v122(constB127) | v123(constB127) | v124(constB127) | (~v130(constB127, 2))),
% 28.06/18.60 inference(modus_ponens,[status(thm)],[17891, 17890])).
% 28.06/18.60 tff(17893,plain,
% 28.06/18.60 (v121(constB127)),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17892, 2155, 17889, 17870, 17866, 17862, 17858, 17832])).
% 28.06/18.60 tff(17894,plain,
% 28.06/18.60 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB127)) | (~v130(constB127, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB127)) | (~v130(constB127, 2)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(17895,plain,
% 28.06/18.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB127)) | (~v130(constB127, 2)))),
% 28.06/18.60 inference(quant_inst,[status(thm)],[])).
% 28.06/18.60 tff(17896,plain,
% 28.06/18.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB127)) | (~v130(constB127, 2))),
% 28.06/18.60 inference(modus_ponens,[status(thm)],[17895, 17894])).
% 28.06/18.60 tff(17897,plain,
% 28.06/18.60 ($false),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17896, 1155, 17889, 17893])).
% 28.06/18.60 tff(17898,plain,((~v100(constB128)) | v26(constB127) | (~v90(constB128, 2)) | (~v90(constB128, 0)) | (~v90(constB128, 1))), inference(lemma,lemma(discharge,[]))).
% 28.06/18.60 tff(17899,plain,
% 28.06/18.60 ((~v100(constB128)) | (~v90(constB128, 2)) | (~v90(constB128, 0)) | (~v90(constB128, 1))),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17898, 17801])).
% 28.06/18.60 tff(17900,plain,
% 28.06/18.60 (~v100(constB128)),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17899, 17797, 17762, 17630])).
% 28.06/18.60 tff(17901,plain,
% 28.06/18.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB127, 1) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB127, 1) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, 1)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(17902,plain,
% 28.06/18.60 (((~nextState(constB127, constB128)) | v90(constB127, 1) | v100(constB128) | (~v90(constB128, 1))) <=> (v90(constB127, 1) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, 1)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(17903,plain,
% 28.06/18.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB127, constB128)) | v90(constB127, 1) | v100(constB128) | (~v90(constB128, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB127, 1) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, 1))))),
% 28.06/18.60 inference(monotonicity,[status(thm)],[17902])).
% 28.06/18.60 tff(17904,plain,
% 28.06/18.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB127, constB128)) | v90(constB127, 1) | v100(constB128) | (~v90(constB128, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB127, 1) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, 1)))),
% 28.06/18.60 inference(transitivity,[status(thm)],[17903, 17901])).
% 28.06/18.60 tff(17905,plain,
% 28.06/18.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB127, constB128)) | v90(constB127, 1) | v100(constB128) | (~v90(constB128, 1)))),
% 28.06/18.60 inference(quant_inst,[status(thm)],[])).
% 28.06/18.60 tff(17906,plain,
% 28.06/18.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB127, 1) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, 1))),
% 28.06/18.60 inference(modus_ponens,[status(thm)],[17905, 17904])).
% 28.06/18.60 tff(17907,plain,
% 28.06/18.60 (v90(constB127, 1) | v100(constB128) | (~v90(constB128, 1))),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17906, 191, 17814])).
% 28.06/18.60 tff(17908,plain,
% 28.06/18.60 (v90(constB127, 1)),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17907, 17900, 17630])).
% 28.06/18.60 tff(17909,plain,
% 28.06/18.60 ((~v1(constB127)) <=> (~v1(constB127))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(17910,axiom,(~v1(constB127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_127_1_1')).
% 28.06/18.60 tff(17911,plain,
% 28.06/18.60 (~v1(constB127)),
% 28.06/18.60 inference(modus_ponens,[status(thm)],[17910, 17909])).
% 28.06/18.60 tff(17912,plain,
% 28.06/18.60 (nextState(constB126, constB127) <=> nextState(constB126, constB127)),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(17913,axiom,(nextState(constB126, constB127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_126_1')).
% 28.06/18.60 tff(17914,plain,
% 28.06/18.60 (nextState(constB126, constB127)),
% 28.06/18.60 inference(modus_ponens,[status(thm)],[17913, 17912])).
% 28.06/18.60 tff(17915,plain,
% 28.06/18.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(17916,plain,
% 28.06/18.60 (((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127)) <=> (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(17917,plain,
% 28.06/18.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127))))),
% 28.06/18.60 inference(monotonicity,[status(thm)],[17916])).
% 28.06/18.60 tff(17918,plain,
% 28.06/18.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 28.06/18.60 inference(transitivity,[status(thm)],[17917, 17915])).
% 28.06/18.60 tff(17919,plain,
% 28.06/18.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))),
% 28.06/18.60 inference(quant_inst,[status(thm)],[])).
% 28.06/18.60 tff(17920,plain,
% 28.06/18.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127))),
% 28.06/18.60 inference(modus_ponens,[status(thm)],[17919, 17918])).
% 28.06/18.60 tff(17921,plain,
% 28.06/18.60 (~v101(constB127)),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17920, 138, 17914, 17911])).
% 28.06/18.60 tff(17922,plain,
% 28.06/18.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(17923,plain,
% 28.06/18.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))),
% 28.06/18.60 inference(quant_inst,[status(thm)],[])).
% 28.06/18.60 tff(17924,plain,
% 28.06/18.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127))),
% 28.06/18.60 inference(modus_ponens,[status(thm)],[17923, 17922])).
% 28.06/18.60 tff(17925,plain,
% 28.06/18.60 (v101(constB127) | (~v100(constB127))),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17924, 155, 17914])).
% 28.06/18.60 tff(17926,plain,
% 28.06/18.60 (~v100(constB127)),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17925, 17921])).
% 28.06/18.60 tff(17927,plain,
% 28.06/18.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB126, 1) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB126, 1) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 1)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(17928,plain,
% 28.06/18.60 (((~nextState(constB126, constB127)) | v90(constB126, 1) | v100(constB127) | (~v90(constB127, 1))) <=> (v90(constB126, 1) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 1)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(17929,plain,
% 28.06/18.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB126, constB127)) | v90(constB126, 1) | v100(constB127) | (~v90(constB127, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB126, 1) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 1))))),
% 28.06/18.60 inference(monotonicity,[status(thm)],[17928])).
% 28.06/18.60 tff(17930,plain,
% 28.06/18.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB126, constB127)) | v90(constB126, 1) | v100(constB127) | (~v90(constB127, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB126, 1) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 1)))),
% 28.06/18.60 inference(transitivity,[status(thm)],[17929, 17927])).
% 28.06/18.60 tff(17931,plain,
% 28.06/18.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB126, constB127)) | v90(constB126, 1) | v100(constB127) | (~v90(constB127, 1)))),
% 28.06/18.60 inference(quant_inst,[status(thm)],[])).
% 28.06/18.60 tff(17932,plain,
% 28.06/18.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB126, 1) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 1))),
% 28.06/18.60 inference(modus_ponens,[status(thm)],[17931, 17930])).
% 28.06/18.60 tff(17933,plain,
% 28.06/18.60 (v90(constB126, 1) | v100(constB127) | (~v90(constB127, 1))),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17932, 191, 17914])).
% 28.06/18.60 tff(17934,plain,
% 28.06/18.60 (v90(constB126, 1) | (~v90(constB127, 1))),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17933, 17926])).
% 28.06/18.60 tff(17935,plain,
% 28.06/18.60 (v90(constB126, 1)),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17934, 17908])).
% 28.06/18.60 tff(17936,assumption,(~v90(constB125, 2)), introduced(assumption)).
% 28.06/18.60 tff(17937,plain,
% 28.06/18.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB127, 0) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB127, 0) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, 0)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(17938,plain,
% 28.06/18.60 (((~nextState(constB127, constB128)) | v90(constB127, 0) | v100(constB128) | (~v90(constB128, 0))) <=> (v90(constB127, 0) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, 0)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(17939,plain,
% 28.06/18.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB127, constB128)) | v90(constB127, 0) | v100(constB128) | (~v90(constB128, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB127, 0) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, 0))))),
% 28.06/18.60 inference(monotonicity,[status(thm)],[17938])).
% 28.06/18.60 tff(17940,plain,
% 28.06/18.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB127, constB128)) | v90(constB127, 0) | v100(constB128) | (~v90(constB128, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB127, 0) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, 0)))),
% 28.06/18.60 inference(transitivity,[status(thm)],[17939, 17937])).
% 28.06/18.60 tff(17941,plain,
% 28.06/18.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB127, constB128)) | v90(constB127, 0) | v100(constB128) | (~v90(constB128, 0)))),
% 28.06/18.60 inference(quant_inst,[status(thm)],[])).
% 28.06/18.60 tff(17942,plain,
% 28.06/18.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB127, 0) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, 0))),
% 28.06/18.60 inference(modus_ponens,[status(thm)],[17941, 17940])).
% 28.06/18.60 tff(17943,plain,
% 28.06/18.60 (v90(constB127, 0) | v100(constB128) | (~v90(constB128, 0))),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17942, 212, 17814])).
% 28.06/18.60 tff(17944,plain,
% 28.06/18.60 (v90(constB127, 0)),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17943, 17900, 17762])).
% 28.06/18.60 tff(17945,plain,
% 28.06/18.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB126, 0) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB126, 0) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 0)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(17946,plain,
% 28.06/18.60 (((~nextState(constB126, constB127)) | v90(constB126, 0) | v100(constB127) | (~v90(constB127, 0))) <=> (v90(constB126, 0) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 0)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(17947,plain,
% 28.06/18.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB126, constB127)) | v90(constB126, 0) | v100(constB127) | (~v90(constB127, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB126, 0) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 0))))),
% 28.06/18.60 inference(monotonicity,[status(thm)],[17946])).
% 28.06/18.60 tff(17948,plain,
% 28.06/18.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB126, constB127)) | v90(constB126, 0) | v100(constB127) | (~v90(constB127, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB126, 0) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 0)))),
% 28.06/18.60 inference(transitivity,[status(thm)],[17947, 17945])).
% 28.06/18.60 tff(17949,plain,
% 28.06/18.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB126, constB127)) | v90(constB126, 0) | v100(constB127) | (~v90(constB127, 0)))),
% 28.06/18.60 inference(quant_inst,[status(thm)],[])).
% 28.06/18.60 tff(17950,plain,
% 28.06/18.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB126, 0) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 0))),
% 28.06/18.60 inference(modus_ponens,[status(thm)],[17949, 17948])).
% 28.06/18.60 tff(17951,plain,
% 28.06/18.60 (v90(constB126, 0) | v100(constB127) | (~v90(constB127, 0))),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17950, 212, 17914])).
% 28.06/18.60 tff(17952,plain,
% 28.06/18.60 (v90(constB126, 0) | (~v90(constB127, 0))),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17951, 17926])).
% 28.06/18.60 tff(17953,plain,
% 28.06/18.60 (v90(constB126, 0)),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17952, 17944])).
% 28.06/18.60 tff(17954,plain,
% 28.06/18.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB127, 2) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB127, 2) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, 2)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(17955,plain,
% 28.06/18.60 (((~nextState(constB127, constB128)) | v90(constB127, 2) | v100(constB128) | (~v90(constB128, 2))) <=> (v90(constB127, 2) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, 2)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(17956,plain,
% 28.06/18.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB127, constB128)) | v90(constB127, 2) | v100(constB128) | (~v90(constB128, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB127, 2) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, 2))))),
% 28.06/18.60 inference(monotonicity,[status(thm)],[17955])).
% 28.06/18.60 tff(17957,plain,
% 28.06/18.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB127, constB128)) | v90(constB127, 2) | v100(constB128) | (~v90(constB128, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB127, 2) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, 2)))),
% 28.06/18.60 inference(transitivity,[status(thm)],[17956, 17954])).
% 28.06/18.60 tff(17958,plain,
% 28.06/18.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB127, constB128)) | v90(constB127, 2) | v100(constB128) | (~v90(constB128, 2)))),
% 28.06/18.60 inference(quant_inst,[status(thm)],[])).
% 28.06/18.60 tff(17959,plain,
% 28.06/18.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB127, 2) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, 2))),
% 28.06/18.60 inference(modus_ponens,[status(thm)],[17958, 17957])).
% 28.06/18.60 tff(17960,plain,
% 28.06/18.60 (v90(constB127, 2) | v100(constB128) | (~v90(constB128, 2))),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17959, 170, 17814])).
% 28.06/18.60 tff(17961,plain,
% 28.06/18.60 (v90(constB127, 2)),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17960, 17900, 17797])).
% 28.06/18.60 tff(17962,plain,
% 28.06/18.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB126, 2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB126, 2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 2)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(17963,plain,
% 28.06/18.60 (((~nextState(constB126, constB127)) | v90(constB126, 2) | v100(constB127) | (~v90(constB127, 2))) <=> (v90(constB126, 2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 2)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(17964,plain,
% 28.06/18.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB126, constB127)) | v90(constB126, 2) | v100(constB127) | (~v90(constB127, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB126, 2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 2))))),
% 28.06/18.60 inference(monotonicity,[status(thm)],[17963])).
% 28.06/18.60 tff(17965,plain,
% 28.06/18.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB126, constB127)) | v90(constB126, 2) | v100(constB127) | (~v90(constB127, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB126, 2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 2)))),
% 28.06/18.60 inference(transitivity,[status(thm)],[17964, 17962])).
% 28.06/18.60 tff(17966,plain,
% 28.06/18.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB126, constB127)) | v90(constB126, 2) | v100(constB127) | (~v90(constB127, 2)))),
% 28.06/18.60 inference(quant_inst,[status(thm)],[])).
% 28.06/18.60 tff(17967,plain,
% 28.06/18.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB126, 2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 2))),
% 28.06/18.60 inference(modus_ponens,[status(thm)],[17966, 17965])).
% 28.06/18.60 tff(17968,plain,
% 28.06/18.60 (v90(constB126, 2) | v100(constB127) | (~v90(constB127, 2))),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17967, 170, 17914])).
% 28.06/18.60 tff(17969,plain,
% 28.06/18.60 (v90(constB126, 2) | (~v90(constB127, 2))),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17968, 17926])).
% 28.06/18.60 tff(17970,plain,
% 28.06/18.60 (v90(constB126, 2)),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17969, 17961])).
% 28.06/18.60 tff(17971,assumption,(v90(constB126, 2)), introduced(assumption)).
% 28.06/18.60 tff(17972,plain,
% 28.06/18.60 (nextState(constB125, constB126) <=> nextState(constB125, constB126)),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(17973,axiom,(nextState(constB125, constB126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_125_1')).
% 28.06/18.60 tff(17974,plain,
% 28.06/18.60 (nextState(constB125, constB126)),
% 28.06/18.60 inference(modus_ponens,[status(thm)],[17973, 17972])).
% 28.06/18.60 tff(17975,plain,
% 28.06/18.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB125, 2) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB125, 2) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, 2)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(17976,plain,
% 28.06/18.60 (((~nextState(constB125, constB126)) | v90(constB125, 2) | v100(constB126) | (~v90(constB126, 2))) <=> (v90(constB125, 2) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, 2)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(17977,plain,
% 28.06/18.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB125, constB126)) | v90(constB125, 2) | v100(constB126) | (~v90(constB126, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB125, 2) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, 2))))),
% 28.06/18.60 inference(monotonicity,[status(thm)],[17976])).
% 28.06/18.60 tff(17978,plain,
% 28.06/18.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB125, constB126)) | v90(constB125, 2) | v100(constB126) | (~v90(constB126, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB125, 2) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, 2)))),
% 28.06/18.60 inference(transitivity,[status(thm)],[17977, 17975])).
% 28.06/18.60 tff(17979,plain,
% 28.06/18.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB125, constB126)) | v90(constB125, 2) | v100(constB126) | (~v90(constB126, 2)))),
% 28.06/18.60 inference(quant_inst,[status(thm)],[])).
% 28.06/18.60 tff(17980,plain,
% 28.06/18.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB125, 2) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, 2))),
% 28.06/18.60 inference(modus_ponens,[status(thm)],[17979, 17978])).
% 28.06/18.60 tff(17981,plain,
% 28.06/18.60 (v90(constB125, 2) | v100(constB126) | (~v90(constB126, 2))),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17980, 170, 17974])).
% 28.06/18.60 tff(17982,plain,
% 28.06/18.60 (v100(constB126)),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17981, 17936, 17971])).
% 28.06/18.60 tff(17983,assumption,(v90(constB126, 0)), introduced(assumption)).
% 28.06/18.60 tff(17984,plain,
% 28.06/18.60 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB126, 0)) | v129(constB126, 0) | (~v100(constB126)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB126, 0)) | v129(constB126, 0) | (~v100(constB126)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(17985,plain,
% 28.06/18.60 (((~v90(constB126, 0)) | (~v100(constB126)) | v129(constB126, 0)) <=> ((~v90(constB126, 0)) | v129(constB126, 0) | (~v100(constB126)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(17986,plain,
% 28.06/18.60 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB126, 0)) | (~v100(constB126)) | v129(constB126, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB126, 0)) | v129(constB126, 0) | (~v100(constB126))))),
% 28.06/18.60 inference(monotonicity,[status(thm)],[17985])).
% 28.06/18.60 tff(17987,plain,
% 28.06/18.60 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB126, 0)) | (~v100(constB126)) | v129(constB126, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB126, 0)) | v129(constB126, 0) | (~v100(constB126)))),
% 28.06/18.60 inference(transitivity,[status(thm)],[17986, 17984])).
% 28.06/18.60 tff(17988,plain,
% 28.06/18.60 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB126, 0)) | (~v100(constB126)) | v129(constB126, 0))),
% 28.06/18.60 inference(quant_inst,[status(thm)],[])).
% 28.06/18.60 tff(17989,plain,
% 28.06/18.60 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB126, 0)) | v129(constB126, 0) | (~v100(constB126))),
% 28.06/18.60 inference(modus_ponens,[status(thm)],[17988, 17987])).
% 28.06/18.60 tff(17990,plain,
% 28.06/18.60 (v129(constB126, 0) | (~v100(constB126))),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17989, 966, 17983])).
% 28.06/18.60 tff(17991,plain,
% 28.06/18.60 (v129(constB126, 0)),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17990, 17982])).
% 28.06/18.60 tff(17992,plain,
% 28.06/18.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB125, constB126)) | v127(constB125, 0) | (~v129(constB126, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB125, constB126)) | v127(constB125, 0) | (~v129(constB126, 0)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(17993,plain,
% 28.06/18.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB125, constB126)) | v127(constB125, 0) | (~v129(constB126, 0)))),
% 28.06/18.60 inference(quant_inst,[status(thm)],[])).
% 28.06/18.60 tff(17994,plain,
% 28.06/18.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB125, constB126)) | v127(constB125, 0) | (~v129(constB126, 0))),
% 28.06/18.60 inference(modus_ponens,[status(thm)],[17993, 17992])).
% 28.06/18.60 tff(17995,plain,
% 28.06/18.60 (v127(constB125, 0) | (~v129(constB126, 0))),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17994, 951, 17974])).
% 28.06/18.60 tff(17996,plain,
% 28.06/18.60 (v127(constB125, 0)),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17995, 17991])).
% 28.06/18.60 tff(17997,plain,
% 28.06/18.60 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB125)) | (~v127(constB125, 0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB125)) | (~v127(constB125, 0)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(17998,plain,
% 28.06/18.60 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB125)) | (~v127(constB125, 0)))),
% 28.06/18.60 inference(quant_inst,[status(thm)],[])).
% 28.06/18.60 tff(17999,plain,
% 28.06/18.60 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB125)) | (~v127(constB125, 0))),
% 28.06/18.60 inference(modus_ponens,[status(thm)],[17998, 17997])).
% 28.06/18.60 tff(18000,plain,
% 28.06/18.60 (~v26(constB125)),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[17999, 1370, 17996])).
% 28.06/18.60 tff(18001,assumption,(v90(constB126, 1)), introduced(assumption)).
% 28.06/18.60 tff(18002,plain,
% 28.06/18.60 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB126, 1)) | v129(constB126, 1) | (~v100(constB126)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB126, 1)) | v129(constB126, 1) | (~v100(constB126)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(18003,plain,
% 28.06/18.60 (((~v90(constB126, 1)) | (~v100(constB126)) | v129(constB126, 1)) <=> ((~v90(constB126, 1)) | v129(constB126, 1) | (~v100(constB126)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(18004,plain,
% 28.06/18.60 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB126, 1)) | (~v100(constB126)) | v129(constB126, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB126, 1)) | v129(constB126, 1) | (~v100(constB126))))),
% 28.06/18.60 inference(monotonicity,[status(thm)],[18003])).
% 28.06/18.60 tff(18005,plain,
% 28.06/18.60 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB126, 1)) | (~v100(constB126)) | v129(constB126, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB126, 1)) | v129(constB126, 1) | (~v100(constB126)))),
% 28.06/18.60 inference(transitivity,[status(thm)],[18004, 18002])).
% 28.06/18.60 tff(18006,plain,
% 28.06/18.60 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB126, 1)) | (~v100(constB126)) | v129(constB126, 1))),
% 28.06/18.60 inference(quant_inst,[status(thm)],[])).
% 28.06/18.60 tff(18007,plain,
% 28.06/18.60 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB126, 1)) | v129(constB126, 1) | (~v100(constB126))),
% 28.06/18.60 inference(modus_ponens,[status(thm)],[18006, 18005])).
% 28.06/18.60 tff(18008,plain,
% 28.06/18.60 (v129(constB126, 1) | (~v100(constB126))),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[18007, 574, 18001])).
% 28.06/18.60 tff(18009,plain,
% 28.06/18.60 (v129(constB126, 1)),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[18008, 17982])).
% 28.06/18.60 tff(18010,plain,
% 28.06/18.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB125, constB126)) | v127(constB125, 1) | (~v129(constB126, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB125, constB126)) | v127(constB125, 1) | (~v129(constB126, 1)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(18011,plain,
% 28.06/18.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB125, constB126)) | v127(constB125, 1) | (~v129(constB126, 1)))),
% 28.06/18.60 inference(quant_inst,[status(thm)],[])).
% 28.06/18.60 tff(18012,plain,
% 28.06/18.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB125, constB126)) | v127(constB125, 1) | (~v129(constB126, 1))),
% 28.06/18.60 inference(modus_ponens,[status(thm)],[18011, 18010])).
% 28.06/18.60 tff(18013,plain,
% 28.06/18.60 (v127(constB125, 1) | (~v129(constB126, 1))),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[18012, 559, 17974])).
% 28.06/18.60 tff(18014,plain,
% 28.06/18.60 (v127(constB125, 1)),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[18013, 18009])).
% 28.06/18.60 tff(18015,plain,
% 28.06/18.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB125, 1)) | v26(constB125) | v130(constB125, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB125, 1)) | v26(constB125) | v130(constB125, 1))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(18016,plain,
% 28.06/18.60 ((v26(constB125) | v130(constB125, 1) | (~v127(constB125, 1))) <=> ((~v127(constB125, 1)) | v26(constB125) | v130(constB125, 1))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(18017,plain,
% 28.06/18.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB125) | v130(constB125, 1) | (~v127(constB125, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB125, 1)) | v26(constB125) | v130(constB125, 1)))),
% 28.06/18.60 inference(monotonicity,[status(thm)],[18016])).
% 28.06/18.60 tff(18018,plain,
% 28.06/18.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB125) | v130(constB125, 1) | (~v127(constB125, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB125, 1)) | v26(constB125) | v130(constB125, 1))),
% 28.06/18.60 inference(transitivity,[status(thm)],[18017, 18015])).
% 28.06/18.60 tff(18019,plain,
% 28.06/18.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB125) | v130(constB125, 1) | (~v127(constB125, 1)))),
% 28.06/18.60 inference(quant_inst,[status(thm)],[])).
% 28.06/18.60 tff(18020,plain,
% 28.06/18.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB125, 1)) | v26(constB125) | v130(constB125, 1)),
% 28.06/18.60 inference(modus_ponens,[status(thm)],[18019, 18018])).
% 28.06/18.60 tff(18021,plain,
% 28.06/18.60 (v130(constB125, 1)),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[18020, 541, 18014, 18000])).
% 28.06/18.60 tff(18022,plain,
% 28.06/18.60 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB125)) | (~v130(constB125, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB125)) | (~v130(constB125, 1)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(18023,plain,
% 28.06/18.60 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB125)) | (~v130(constB125, 1)))),
% 28.06/18.60 inference(quant_inst,[status(thm)],[])).
% 28.06/18.60 tff(18024,plain,
% 28.06/18.60 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB125)) | (~v130(constB125, 1))),
% 28.06/18.60 inference(modus_ponens,[status(thm)],[18023, 18022])).
% 28.06/18.60 tff(18025,plain,
% 28.06/18.60 (~v119(constB125)),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[18024, 527, 18021])).
% 28.06/18.60 tff(18026,plain,
% 28.06/18.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB125, 0)) | v26(constB125) | v130(constB125, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB125, 0)) | v26(constB125) | v130(constB125, 0))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(18027,plain,
% 28.06/18.60 ((v26(constB125) | v130(constB125, 0) | (~v127(constB125, 0))) <=> ((~v127(constB125, 0)) | v26(constB125) | v130(constB125, 0))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(18028,plain,
% 28.06/18.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB125) | v130(constB125, 0) | (~v127(constB125, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB125, 0)) | v26(constB125) | v130(constB125, 0)))),
% 28.06/18.60 inference(monotonicity,[status(thm)],[18027])).
% 28.06/18.60 tff(18029,plain,
% 28.06/18.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB125) | v130(constB125, 0) | (~v127(constB125, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB125, 0)) | v26(constB125) | v130(constB125, 0))),
% 28.06/18.60 inference(transitivity,[status(thm)],[18028, 18026])).
% 28.06/18.60 tff(18030,plain,
% 28.06/18.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB125) | v130(constB125, 0) | (~v127(constB125, 0)))),
% 28.06/18.60 inference(quant_inst,[status(thm)],[])).
% 28.06/18.60 tff(18031,plain,
% 28.06/18.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB125, 0)) | v26(constB125) | v130(constB125, 0)),
% 28.06/18.60 inference(modus_ponens,[status(thm)],[18030, 18029])).
% 28.06/18.60 tff(18032,plain,
% 28.06/18.60 (v130(constB125, 0)),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[18031, 933, 17996, 18000])).
% 28.06/18.60 tff(18033,plain,
% 28.06/18.60 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB125)) | (~v130(constB125, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB125)) | (~v130(constB125, 0)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(18034,plain,
% 28.06/18.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB125)) | (~v130(constB125, 0)))),
% 28.06/18.60 inference(quant_inst,[status(thm)],[])).
% 28.06/18.60 tff(18035,plain,
% 28.06/18.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB125)) | (~v130(constB125, 0))),
% 28.06/18.60 inference(modus_ponens,[status(thm)],[18034, 18033])).
% 28.06/18.60 tff(18036,plain,
% 28.06/18.60 (~v120(constB125)),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[18035, 919, 18032])).
% 28.06/18.60 tff(18037,plain,
% 28.06/18.60 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB125)) | (~v130(constB125, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB125)) | (~v130(constB125, 0)))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(18038,plain,
% 28.06/18.60 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB125)) | (~v130(constB125, 0)))),
% 28.06/18.60 inference(quant_inst,[status(thm)],[])).
% 28.06/18.60 tff(18039,plain,
% 28.06/18.60 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB125)) | (~v130(constB125, 0))),
% 28.06/18.60 inference(modus_ponens,[status(thm)],[18038, 18037])).
% 28.06/18.60 tff(18040,plain,
% 28.06/18.60 (~v122(constB125)),
% 28.06/18.60 inference(unit_resolution,[status(thm)],[18039, 1351, 18032])).
% 28.06/18.60 tff(18041,plain,
% 28.06/18.60 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB125)) | v90(constB125, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB125)) | v90(constB125, 2))),
% 28.06/18.60 inference(rewrite,[status(thm)],[])).
% 28.06/18.60 tff(18042,plain,
% 28.06/18.60 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB125)) | v90(constB125, 2))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18043,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB125)) | v90(constB125, 2)),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18042, 18041])).
% 28.06/18.61 tff(18044,plain,
% 28.06/18.61 (~v123(constB125)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18043, 3999, 17936])).
% 28.06/18.61 tff(18045,plain,
% 28.06/18.61 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB125)) | v90(constB125, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB125)) | v90(constB125, 2))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18046,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB125)) | v90(constB125, 2))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18047,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB125)) | v90(constB125, 2)),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18046, 18045])).
% 28.06/18.61 tff(18048,plain,
% 28.06/18.61 (~v124(constB125)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18047, 4010, 17936])).
% 28.06/18.61 tff(18049,plain,
% 28.06/18.61 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB126, 2)) | v129(constB126, 2) | (~v100(constB126)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB126, 2)) | v129(constB126, 2) | (~v100(constB126)))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18050,plain,
% 28.06/18.61 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB126, 2)) | v129(constB126, 2) | (~v100(constB126)))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18051,plain,
% 28.06/18.61 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB126, 2)) | v129(constB126, 2) | (~v100(constB126))),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18050, 18049])).
% 28.06/18.61 tff(18052,plain,
% 28.06/18.61 (v129(constB126, 2) | (~v100(constB126))),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18051, 488, 17971])).
% 28.06/18.61 tff(18053,plain,
% 28.06/18.61 (v129(constB126, 2)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18052, 17982])).
% 28.06/18.61 tff(18054,plain,
% 28.06/18.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB125, constB126)) | v127(constB125, 2) | (~v129(constB126, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB125, constB126)) | v127(constB125, 2) | (~v129(constB126, 2)))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18055,plain,
% 28.06/18.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB125, constB126)) | v127(constB125, 2) | (~v129(constB126, 2)))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18056,plain,
% 28.06/18.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB125, constB126)) | v127(constB125, 2) | (~v129(constB126, 2))),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18055, 18054])).
% 28.06/18.61 tff(18057,plain,
% 28.06/18.61 (v127(constB125, 2) | (~v129(constB126, 2))),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18056, 473, 17974])).
% 28.06/18.61 tff(18058,plain,
% 28.06/18.61 (v127(constB125, 2)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18057, 18053])).
% 28.06/18.61 tff(18059,plain,
% 28.06/18.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB125, 2)) | v26(constB125) | v130(constB125, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB125, 2)) | v26(constB125) | v130(constB125, 2))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18060,plain,
% 28.06/18.61 ((v26(constB125) | v130(constB125, 2) | (~v127(constB125, 2))) <=> ((~v127(constB125, 2)) | v26(constB125) | v130(constB125, 2))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18061,plain,
% 28.06/18.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB125) | v130(constB125, 2) | (~v127(constB125, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB125, 2)) | v26(constB125) | v130(constB125, 2)))),
% 28.06/18.61 inference(monotonicity,[status(thm)],[18060])).
% 28.06/18.61 tff(18062,plain,
% 28.06/18.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB125) | v130(constB125, 2) | (~v127(constB125, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB125, 2)) | v26(constB125) | v130(constB125, 2))),
% 28.06/18.61 inference(transitivity,[status(thm)],[18061, 18059])).
% 28.06/18.61 tff(18063,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB125) | v130(constB125, 2) | (~v127(constB125, 2)))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18064,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB125, 2)) | v26(constB125) | v130(constB125, 2)),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18063, 18062])).
% 28.06/18.61 tff(18065,plain,
% 28.06/18.61 (v130(constB125, 2)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18064, 455, 18058, 18000])).
% 28.06/18.61 tff(18066,plain,
% 28.06/18.61 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, 2)))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18067,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, 2)))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18068,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, 2))),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18067, 18066])).
% 28.06/18.61 tff(18069,plain,
% 28.06/18.61 (v121(constB125)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18068, 2155, 18065, 18048, 18044, 18040, 18036, 18025])).
% 28.06/18.61 tff(18070,plain,
% 28.06/18.61 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB125)) | (~v130(constB125, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB125)) | (~v130(constB125, 2)))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18071,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB125)) | (~v130(constB125, 2)))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18072,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB125)) | (~v130(constB125, 2))),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18071, 18070])).
% 28.06/18.61 tff(18073,plain,
% 28.06/18.61 ($false),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18072, 1155, 18065, 18069])).
% 28.06/18.61 tff(18074,plain,(v90(constB125, 2) | (~v90(constB126, 2)) | (~v90(constB126, 1)) | (~v90(constB126, 0))), inference(lemma,lemma(discharge,[]))).
% 28.06/18.61 tff(18075,plain,
% 28.06/18.61 ($false),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18074, 17970, 17953, 17936, 17935])).
% 28.06/18.61 tff(18076,plain,(v100(constB138) | v90(constB125, 2)), inference(lemma,lemma(discharge,[]))).
% 28.06/18.61 tff(18077,plain,
% 28.06/18.61 (v90(constB125, 2)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18076, 16611])).
% 28.06/18.61 tff(18078,assumption,(~v90(constB123, 2)), introduced(assumption)).
% 28.06/18.61 tff(18079,plain,
% 28.06/18.61 (v90(constB137, 2)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[16828, 16814, 17635, 16810])).
% 28.06/18.61 tff(18080,plain,
% 28.06/18.61 (v90(constB136, 2)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[16852, 18079])).
% 28.06/18.61 tff(18081,plain,
% 28.06/18.61 (v90(constB137, 1)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17639, 18079, 16866])).
% 28.06/18.61 tff(18082,plain,
% 28.06/18.61 (v90(constB136, 1)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[16879, 18081])).
% 28.06/18.61 tff(18083,plain,
% 28.06/18.61 (v90(constB135, 1)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[16985, 18082, 18080, 17636])).
% 28.06/18.61 tff(18084,plain,
% 28.06/18.61 (v90(constB134, 1)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17155, 18083])).
% 28.06/18.61 tff(18085,assumption,(v26(constB135)), introduced(assumption)).
% 28.06/18.61 tff(18086,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB135))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18087,plain,
% 28.06/18.61 ($false),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18086, 95, 18085])).
% 28.06/18.61 tff(18088,plain,(~v26(constB135)), inference(lemma,lemma(discharge,[]))).
% 28.06/18.61 tff(18089,plain,
% 28.06/18.61 (~v124(constB135)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[16989, 2097, 18083])).
% 28.06/18.61 tff(18090,plain,
% 28.06/18.61 (~v119(constB135)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[16993, 2086, 18083])).
% 28.06/18.61 tff(18091,plain,
% 28.06/18.61 (~v120(constB135)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[16997, 2141, 18083])).
% 28.06/18.61 tff(18092,plain,
% 28.06/18.61 (~v123(constB135)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17001, 2108, 18083])).
% 28.06/18.61 tff(18093,plain,
% 28.06/18.61 (v129(constB136, 0)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17092, 18091, 17636, 18092, 18090, 18080, 18089])).
% 28.06/18.61 tff(18094,plain,
% 28.06/18.61 (v127(constB135, 0)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[16906, 18093])).
% 28.06/18.61 tff(18095,plain,
% 28.06/18.61 ((~v127(constB135, 0)) | v130(constB135, 0)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[16941, 933, 18088])).
% 28.06/18.61 tff(18096,plain,
% 28.06/18.61 (v130(constB135, 0)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18095, 18094])).
% 28.06/18.61 tff(18097,plain,
% 28.06/18.61 (~v122(constB135)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17099, 1351, 18096])).
% 28.06/18.61 tff(18098,plain,
% 28.06/18.61 (~v100(constB136)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17121, 18097, 18082, 18092, 18091, 18090, 18089, 18080, 18088])).
% 28.06/18.61 tff(18099,plain,
% 28.06/18.61 (v90(constB135, 0)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17055, 18098, 17636])).
% 28.06/18.61 tff(18100,plain,
% 28.06/18.61 (v90(constB134, 0)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17165, 18099])).
% 28.06/18.61 tff(18101,plain,
% 28.06/18.61 (v90(constB135, 2)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17067, 18098, 18080])).
% 28.06/18.61 tff(18102,plain,
% 28.06/18.61 (v90(constB134, 2)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17146, 18101])).
% 28.06/18.61 tff(18103,plain,
% 28.06/18.61 (~v100(constB134)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17263, 18102, 18100, 18084])).
% 28.06/18.61 tff(18104,plain,
% 28.06/18.61 (v90(constB133, 1)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17323, 18103, 18084])).
% 28.06/18.61 tff(18105,plain,
% 28.06/18.61 (v90(constB132, 1)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17332, 18104])).
% 28.06/18.61 tff(18106,plain,
% 28.06/18.61 (v90(constB133, 2)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17271, 18103, 18102])).
% 28.06/18.61 tff(18107,plain,
% 28.06/18.61 (v90(constB132, 2)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17298, 18106])).
% 28.06/18.61 tff(18108,plain,
% 28.06/18.61 (v90(constB133, 0)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17306, 18103, 18100])).
% 28.06/18.61 tff(18109,plain,
% 28.06/18.61 (v90(constB132, 0)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17315, 18108])).
% 28.06/18.61 tff(18110,plain,
% 28.06/18.61 (~v127(constB131, 1)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17600, 18105, 18109, 18107])).
% 28.06/18.61 tff(18111,plain,
% 28.06/18.61 (~v129(constB132, 1)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17491, 18110])).
% 28.06/18.61 tff(18112,plain,
% 28.06/18.61 (~v100(constB132)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17346, 574, 18105, 18111])).
% 28.06/18.61 tff(18113,plain,
% 28.06/18.61 (v90(constB131, 1)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17393, 18112, 18105])).
% 28.06/18.61 tff(18114,plain,
% 28.06/18.61 (v90(constB130, 1)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17402, 18113])).
% 28.06/18.61 tff(18115,plain,
% 28.06/18.61 (v90(constB131, 2)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17676, 18112, 18107])).
% 28.06/18.61 tff(18116,plain,
% 28.06/18.61 (v90(constB130, 2)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17685, 18115])).
% 28.06/18.61 tff(18117,plain,
% 28.06/18.61 (v90(constB131, 0)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17358, 18112, 18109])).
% 28.06/18.61 tff(18118,plain,
% 28.06/18.61 (v90(constB130, 0)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17385, 18117])).
% 28.06/18.61 tff(18119,plain,
% 28.06/18.61 (v90(constB129, 0)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17752, 18118, 17698, 17694, 17690, 18116, 18114, 17634])).
% 28.06/18.61 tff(18120,plain,
% 28.06/18.61 (v90(constB128, 0)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17761, 18119])).
% 28.06/18.61 tff(18121,plain,
% 28.06/18.61 (v90(constB129, 2)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17787, 18119, 18114, 17603, 18116])).
% 28.06/18.61 tff(18122,plain,
% 28.06/18.61 (v90(constB128, 2)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17796, 18121])).
% 28.06/18.61 tff(18123,plain,
% 28.06/18.61 (~v100(constB128)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17899, 18122, 18120, 17630])).
% 28.06/18.61 tff(18124,plain,
% 28.06/18.61 (v90(constB127, 0)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17943, 18123, 18120])).
% 28.06/18.61 tff(18125,plain,
% 28.06/18.61 (v90(constB126, 0)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17952, 18124])).
% 28.06/18.61 tff(18126,plain,
% 28.06/18.61 (v90(constB127, 1)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17907, 18123, 17630])).
% 28.06/18.61 tff(18127,plain,
% 28.06/18.61 (v90(constB126, 1)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[17934, 18126])).
% 28.06/18.61 tff(18128,plain,
% 28.06/18.61 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB123)) | v90(constB123, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB123)) | v90(constB123, 2))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18129,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB123)) | v90(constB123, 2))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18130,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB123)) | v90(constB123, 2)),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18129, 18128])).
% 28.06/18.61 tff(18131,plain,
% 28.06/18.61 (~v124(constB123)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18130, 4010, 18078])).
% 28.06/18.61 tff(18132,plain,
% 28.06/18.61 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB123)) | v90(constB123, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB123)) | v90(constB123, 2))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18133,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB123)) | v90(constB123, 2))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18134,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB123)) | v90(constB123, 2)),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18133, 18132])).
% 28.06/18.61 tff(18135,plain,
% 28.06/18.61 (~v123(constB123)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18134, 3999, 18078])).
% 28.06/18.61 tff(18136,assumption,(v90(constB125, 2)), introduced(assumption)).
% 28.06/18.61 tff(18137,plain,
% 28.06/18.61 ((~v1(constB125)) <=> (~v1(constB125))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18138,axiom,(~v1(constB125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_125_1_1')).
% 28.06/18.61 tff(18139,plain,
% 28.06/18.61 (~v1(constB125)),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18138, 18137])).
% 28.06/18.61 tff(18140,plain,
% 28.06/18.61 (nextState(constB124, constB125) <=> nextState(constB124, constB125)),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18141,axiom,(nextState(constB124, constB125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_124_1')).
% 28.06/18.61 tff(18142,plain,
% 28.06/18.61 (nextState(constB124, constB125)),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18141, 18140])).
% 28.06/18.61 tff(18143,plain,
% 28.06/18.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18144,plain,
% 28.06/18.61 (((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125)) <=> (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18145,plain,
% 28.06/18.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125))))),
% 28.06/18.61 inference(monotonicity,[status(thm)],[18144])).
% 28.06/18.61 tff(18146,plain,
% 28.06/18.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 28.06/18.61 inference(transitivity,[status(thm)],[18145, 18143])).
% 28.06/18.61 tff(18147,plain,
% 28.06/18.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18148,plain,
% 28.06/18.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125))),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18147, 18146])).
% 28.06/18.61 tff(18149,plain,
% 28.06/18.61 (~v101(constB125)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18148, 138, 18142, 18139])).
% 28.06/18.61 tff(18150,plain,
% 28.06/18.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18151,plain,
% 28.06/18.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18152,plain,
% 28.06/18.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125))),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18151, 18150])).
% 28.06/18.61 tff(18153,plain,
% 28.06/18.61 (v101(constB125) | (~v100(constB125))),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18152, 155, 18142])).
% 28.06/18.61 tff(18154,plain,
% 28.06/18.61 (~v100(constB125)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18153, 18149])).
% 28.06/18.61 tff(18155,plain,
% 28.06/18.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB124, 2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB124, 2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 2)))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18156,plain,
% 28.06/18.61 (((~nextState(constB124, constB125)) | v90(constB124, 2) | v100(constB125) | (~v90(constB125, 2))) <=> (v90(constB124, 2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 2)))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18157,plain,
% 28.06/18.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB124, constB125)) | v90(constB124, 2) | v100(constB125) | (~v90(constB125, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB124, 2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 2))))),
% 28.06/18.61 inference(monotonicity,[status(thm)],[18156])).
% 28.06/18.61 tff(18158,plain,
% 28.06/18.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB124, constB125)) | v90(constB124, 2) | v100(constB125) | (~v90(constB125, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB124, 2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 2)))),
% 28.06/18.61 inference(transitivity,[status(thm)],[18157, 18155])).
% 28.06/18.61 tff(18159,plain,
% 28.06/18.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB124, constB125)) | v90(constB124, 2) | v100(constB125) | (~v90(constB125, 2)))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18160,plain,
% 28.06/18.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB124, 2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 2))),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18159, 18158])).
% 28.06/18.61 tff(18161,plain,
% 28.06/18.61 (v90(constB124, 2) | v100(constB125) | (~v90(constB125, 2))),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18160, 170, 18142])).
% 28.06/18.61 tff(18162,plain,
% 28.06/18.61 (v90(constB124, 2) | (~v90(constB125, 2))),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18161, 18154])).
% 28.06/18.61 tff(18163,plain,
% 28.06/18.61 (v90(constB124, 2)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18162, 18136])).
% 28.06/18.61 tff(18164,assumption,(v90(constB124, 2)), introduced(assumption)).
% 28.06/18.61 tff(18165,plain,
% 28.06/18.61 (nextState(constB123, constB124) <=> nextState(constB123, constB124)),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18166,axiom,(nextState(constB123, constB124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_123_1')).
% 28.06/18.61 tff(18167,plain,
% 28.06/18.61 (nextState(constB123, constB124)),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18166, 18165])).
% 28.06/18.61 tff(18168,plain,
% 28.06/18.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB123, 2) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB123, 2) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, 2)))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18169,plain,
% 28.06/18.61 (((~nextState(constB123, constB124)) | v90(constB123, 2) | v100(constB124) | (~v90(constB124, 2))) <=> (v90(constB123, 2) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, 2)))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18170,plain,
% 28.06/18.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB123, constB124)) | v90(constB123, 2) | v100(constB124) | (~v90(constB124, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB123, 2) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, 2))))),
% 28.06/18.61 inference(monotonicity,[status(thm)],[18169])).
% 28.06/18.61 tff(18171,plain,
% 28.06/18.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB123, constB124)) | v90(constB123, 2) | v100(constB124) | (~v90(constB124, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB123, 2) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, 2)))),
% 28.06/18.61 inference(transitivity,[status(thm)],[18170, 18168])).
% 28.06/18.61 tff(18172,plain,
% 28.06/18.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB123, constB124)) | v90(constB123, 2) | v100(constB124) | (~v90(constB124, 2)))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18173,plain,
% 28.06/18.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB123, 2) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, 2))),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18172, 18171])).
% 28.06/18.61 tff(18174,plain,
% 28.06/18.61 (v90(constB123, 2) | v100(constB124) | (~v90(constB124, 2))),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18173, 170, 18167])).
% 28.06/18.61 tff(18175,plain,
% 28.06/18.61 (v100(constB124)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18174, 18164, 18078])).
% 28.06/18.61 tff(18176,assumption,(~v129(constB124, 2)), introduced(assumption)).
% 28.06/18.61 tff(18177,plain,
% 28.06/18.61 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB124, 2)) | v129(constB124, 2) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB124, 2)) | v129(constB124, 2) | (~v100(constB124)))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18178,plain,
% 28.06/18.61 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB124, 2)) | v129(constB124, 2) | (~v100(constB124)))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18179,plain,
% 28.06/18.61 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB124, 2)) | v129(constB124, 2) | (~v100(constB124))),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18178, 18177])).
% 28.06/18.61 tff(18180,plain,
% 28.06/18.61 ((~v90(constB124, 2)) | (~v100(constB124))),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18179, 488, 18176])).
% 28.06/18.61 tff(18181,plain,
% 28.06/18.61 ($false),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18180, 18175, 18164])).
% 28.06/18.61 tff(18182,plain,((~v90(constB124, 2)) | v129(constB124, 2) | v90(constB123, 2)), inference(lemma,lemma(discharge,[]))).
% 28.06/18.61 tff(18183,plain,
% 28.06/18.61 (v129(constB124, 2)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18182, 18078, 18163])).
% 28.06/18.61 tff(18184,plain,
% 28.06/18.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB123, constB124)) | v127(constB123, 2) | (~v129(constB124, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB123, constB124)) | v127(constB123, 2) | (~v129(constB124, 2)))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18185,plain,
% 28.06/18.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB123, constB124)) | v127(constB123, 2) | (~v129(constB124, 2)))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18186,plain,
% 28.06/18.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB123, constB124)) | v127(constB123, 2) | (~v129(constB124, 2))),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18185, 18184])).
% 28.06/18.61 tff(18187,plain,
% 28.06/18.61 (v127(constB123, 2) | (~v129(constB124, 2))),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18186, 473, 18167])).
% 28.06/18.61 tff(18188,plain,
% 28.06/18.61 (v127(constB123, 2)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18187, 18183])).
% 28.06/18.61 tff(18189,assumption,(v127(constB123, 2)), introduced(assumption)).
% 28.06/18.61 tff(18190,assumption,(~v130(constB123, 2)), introduced(assumption)).
% 28.06/18.61 tff(18191,plain,
% 28.06/18.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB123, 2)) | v26(constB123) | v130(constB123, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB123, 2)) | v26(constB123) | v130(constB123, 2))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18192,plain,
% 28.06/18.61 ((v26(constB123) | v130(constB123, 2) | (~v127(constB123, 2))) <=> ((~v127(constB123, 2)) | v26(constB123) | v130(constB123, 2))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18193,plain,
% 28.06/18.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB123) | v130(constB123, 2) | (~v127(constB123, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB123, 2)) | v26(constB123) | v130(constB123, 2)))),
% 28.06/18.61 inference(monotonicity,[status(thm)],[18192])).
% 28.06/18.61 tff(18194,plain,
% 28.06/18.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB123) | v130(constB123, 2) | (~v127(constB123, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB123, 2)) | v26(constB123) | v130(constB123, 2))),
% 28.06/18.61 inference(transitivity,[status(thm)],[18193, 18191])).
% 28.06/18.61 tff(18195,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB123) | v130(constB123, 2) | (~v127(constB123, 2)))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18196,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB123, 2)) | v26(constB123) | v130(constB123, 2)),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18195, 18194])).
% 28.06/18.61 tff(18197,plain,
% 28.06/18.61 ((~v127(constB123, 2)) | v26(constB123)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18196, 455, 18190])).
% 28.06/18.61 tff(18198,plain,
% 28.06/18.61 (v26(constB123)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18197, 18189])).
% 28.06/18.61 tff(18199,plain,
% 28.06/18.61 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | (~v127(VarCurr, 2))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, 2))))),
% 28.06/18.61 inference(bind,[status(th)],[])).
% 28.06/18.61 tff(18200,plain,
% 28.06/18.61 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))),
% 28.06/18.61 inference(quant_intro,[status(thm)],[18199])).
% 28.06/18.61 tff(18201,plain,
% 28.06/18.61 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18202,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_3')).
% 28.06/18.61 tff(18203,plain,
% 28.06/18.61 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18202, 18201])).
% 28.06/18.61 tff(18204,plain,(
% 28.06/18.61 ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))),
% 28.06/18.61 inference(skolemize,[status(sab)],[18203])).
% 28.06/18.61 tff(18205,plain,
% 28.06/18.61 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18204, 18200])).
% 28.06/18.61 tff(18206,plain,
% 28.06/18.61 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB123)) | (~v127(constB123, 2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB123)) | (~v127(constB123, 2)))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18207,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB123)) | (~v127(constB123, 2)))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18208,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB123)) | (~v127(constB123, 2))),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18207, 18206])).
% 28.06/18.61 tff(18209,plain,
% 28.06/18.61 ($false),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18208, 18205, 18189, 18198])).
% 28.06/18.61 tff(18210,plain,((~v127(constB123, 2)) | v130(constB123, 2)), inference(lemma,lemma(discharge,[]))).
% 28.06/18.61 tff(18211,plain,
% 28.06/18.61 (v130(constB123, 2)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18210, 18188])).
% 28.06/18.61 tff(18212,plain,
% 28.06/18.61 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB123)) | (~v130(constB123, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB123)) | (~v130(constB123, 2)))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18213,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB123)) | (~v130(constB123, 2)))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18214,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB123)) | (~v130(constB123, 2))),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18213, 18212])).
% 28.06/18.61 tff(18215,plain,
% 28.06/18.61 (~v121(constB123)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18214, 1155, 18211])).
% 28.06/18.61 tff(18216,assumption,(v130(constB123, 2)), introduced(assumption)).
% 28.06/18.61 tff(18217,assumption,(~v122(constB123)), introduced(assumption)).
% 28.06/18.61 tff(18218,assumption,(~v121(constB123)), introduced(assumption)).
% 28.06/18.61 tff(18219,plain,
% 28.06/18.61 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB123)) | (~v130(constB123, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB123)) | (~v130(constB123, 2)))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18220,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB123)) | (~v130(constB123, 2)))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18221,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB123)) | (~v130(constB123, 2))),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18220, 18219])).
% 28.06/18.61 tff(18222,plain,
% 28.06/18.61 (~v119(constB123)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18221, 441, 18216])).
% 28.06/18.61 tff(18223,plain,
% 28.06/18.61 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB123)) | (~v130(constB123, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB123)) | (~v130(constB123, 2)))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18224,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB123)) | (~v130(constB123, 2)))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18225,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB123)) | (~v130(constB123, 2))),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18224, 18223])).
% 28.06/18.61 tff(18226,plain,
% 28.06/18.61 (~v120(constB123)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18225, 785, 18216])).
% 28.06/18.61 tff(18227,assumption,(~v124(constB123)), introduced(assumption)).
% 28.06/18.61 tff(18228,assumption,(~v123(constB123)), introduced(assumption)).
% 28.06/18.61 tff(18229,plain,
% 28.06/18.61 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB123) | v120(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | (~v130(constB123, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB123) | v120(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | (~v130(constB123, 2)))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18230,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB123) | v120(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | (~v130(constB123, 2)))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18231,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB123) | v120(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | (~v130(constB123, 2))),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18230, 18229])).
% 28.06/18.61 tff(18232,plain,
% 28.06/18.61 (v119(constB123) | v120(constB123) | v121(constB123) | v122(constB123) | (~v130(constB123, 2))),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18231, 2155, 18228, 18227])).
% 28.06/18.61 tff(18233,plain,
% 28.06/18.61 ($false),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18232, 18226, 18222, 18218, 18217, 18216])).
% 28.06/18.61 tff(18234,plain,((~v130(constB123, 2)) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123)), inference(lemma,lemma(discharge,[]))).
% 28.06/18.61 tff(18235,plain,
% 28.06/18.61 (v122(constB123)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18234, 18215, 18211, 18135, 18131])).
% 28.06/18.61 tff(18236,plain,
% 28.06/18.61 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB123)) | (~v130(constB123, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB123)) | (~v130(constB123, 0)))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18237,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB123)) | (~v130(constB123, 0)))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18238,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB123)) | (~v130(constB123, 0))),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18237, 18236])).
% 28.06/18.61 tff(18239,plain,
% 28.06/18.61 (~v130(constB123, 0)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18238, 1351, 18235])).
% 28.06/18.61 tff(18240,plain,
% 28.06/18.61 (~v26(constB123)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18208, 18205, 18188])).
% 28.06/18.61 tff(18241,plain,
% 28.06/18.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB123, 0)) | v26(constB123) | v130(constB123, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB123, 0)) | v26(constB123) | v130(constB123, 0))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18242,plain,
% 28.06/18.61 ((v26(constB123) | v130(constB123, 0) | (~v127(constB123, 0))) <=> ((~v127(constB123, 0)) | v26(constB123) | v130(constB123, 0))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18243,plain,
% 28.06/18.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB123) | v130(constB123, 0) | (~v127(constB123, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB123, 0)) | v26(constB123) | v130(constB123, 0)))),
% 28.06/18.61 inference(monotonicity,[status(thm)],[18242])).
% 28.06/18.61 tff(18244,plain,
% 28.06/18.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB123) | v130(constB123, 0) | (~v127(constB123, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB123, 0)) | v26(constB123) | v130(constB123, 0))),
% 28.06/18.61 inference(transitivity,[status(thm)],[18243, 18241])).
% 28.06/18.61 tff(18245,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB123) | v130(constB123, 0) | (~v127(constB123, 0)))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18246,plain,
% 28.06/18.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB123, 0)) | v26(constB123) | v130(constB123, 0)),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18245, 18244])).
% 28.06/18.61 tff(18247,plain,
% 28.06/18.61 ((~v127(constB123, 0)) | v130(constB123, 0)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18246, 933, 18240])).
% 28.06/18.61 tff(18248,plain,
% 28.06/18.61 (~v127(constB123, 0)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18247, 18239])).
% 28.06/18.61 tff(18249,plain,
% 28.06/18.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB123, constB124)) | v127(constB123, 0) | (~v129(constB124, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB123, constB124)) | v127(constB123, 0) | (~v129(constB124, 0)))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18250,plain,
% 28.06/18.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB123, constB124)) | v127(constB123, 0) | (~v129(constB124, 0)))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18251,plain,
% 28.06/18.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB123, constB124)) | v127(constB123, 0) | (~v129(constB124, 0))),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18250, 18249])).
% 28.06/18.61 tff(18252,plain,
% 28.06/18.61 (v127(constB123, 0) | (~v129(constB124, 0))),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18251, 951, 18167])).
% 28.06/18.61 tff(18253,plain,
% 28.06/18.61 (~v129(constB124, 0)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18252, 18248])).
% 28.06/18.61 tff(18254,plain,
% 28.06/18.61 (v100(constB124)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18174, 18078, 18163])).
% 28.06/18.61 tff(18255,plain,
% 28.06/18.61 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB124, 0)) | v129(constB124, 0) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB124, 0)) | v129(constB124, 0) | (~v100(constB124)))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18256,plain,
% 28.06/18.61 (((~v90(constB124, 0)) | (~v100(constB124)) | v129(constB124, 0)) <=> ((~v90(constB124, 0)) | v129(constB124, 0) | (~v100(constB124)))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18257,plain,
% 28.06/18.61 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB124, 0)) | (~v100(constB124)) | v129(constB124, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB124, 0)) | v129(constB124, 0) | (~v100(constB124))))),
% 28.06/18.61 inference(monotonicity,[status(thm)],[18256])).
% 28.06/18.61 tff(18258,plain,
% 28.06/18.61 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB124, 0)) | (~v100(constB124)) | v129(constB124, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB124, 0)) | v129(constB124, 0) | (~v100(constB124)))),
% 28.06/18.61 inference(transitivity,[status(thm)],[18257, 18255])).
% 28.06/18.61 tff(18259,plain,
% 28.06/18.61 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB124, 0)) | (~v100(constB124)) | v129(constB124, 0))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18260,plain,
% 28.06/18.61 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB124, 0)) | v129(constB124, 0) | (~v100(constB124))),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18259, 18258])).
% 28.06/18.61 tff(18261,plain,
% 28.06/18.61 ((~v90(constB124, 0)) | v129(constB124, 0)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18260, 966, 18254])).
% 28.06/18.61 tff(18262,plain,
% 28.06/18.61 (~v90(constB124, 0)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18261, 18253])).
% 28.06/18.61 tff(18263,plain,
% 28.06/18.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB124, 0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB124, 0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 0)))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18264,plain,
% 28.06/18.61 (((~nextState(constB124, constB125)) | v90(constB124, 0) | v100(constB125) | (~v90(constB125, 0))) <=> (v90(constB124, 0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 0)))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18265,plain,
% 28.06/18.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB124, constB125)) | v90(constB124, 0) | v100(constB125) | (~v90(constB125, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB124, 0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 0))))),
% 28.06/18.61 inference(monotonicity,[status(thm)],[18264])).
% 28.06/18.61 tff(18266,plain,
% 28.06/18.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB124, constB125)) | v90(constB124, 0) | v100(constB125) | (~v90(constB125, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB124, 0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 0)))),
% 28.06/18.61 inference(transitivity,[status(thm)],[18265, 18263])).
% 28.06/18.61 tff(18267,plain,
% 28.06/18.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB124, constB125)) | v90(constB124, 0) | v100(constB125) | (~v90(constB125, 0)))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18268,plain,
% 28.06/18.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB124, 0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 0))),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18267, 18266])).
% 28.06/18.61 tff(18269,plain,
% 28.06/18.61 (v90(constB124, 0) | v100(constB125) | (~v90(constB125, 0))),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18268, 212, 18142])).
% 28.06/18.61 tff(18270,plain,
% 28.06/18.61 (v90(constB124, 0) | (~v90(constB125, 0))),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18269, 18154])).
% 28.06/18.61 tff(18271,plain,
% 28.06/18.61 (~v90(constB125, 0)),
% 28.06/18.61 inference(unit_resolution,[status(thm)],[18270, 18262])).
% 28.06/18.61 tff(18272,plain,
% 28.06/18.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB125, 0) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB125, 0) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, 0)))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18273,plain,
% 28.06/18.61 (((~nextState(constB125, constB126)) | v90(constB125, 0) | v100(constB126) | (~v90(constB126, 0))) <=> (v90(constB125, 0) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, 0)))),
% 28.06/18.61 inference(rewrite,[status(thm)],[])).
% 28.06/18.61 tff(18274,plain,
% 28.06/18.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB125, constB126)) | v90(constB125, 0) | v100(constB126) | (~v90(constB126, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB125, 0) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, 0))))),
% 28.06/18.61 inference(monotonicity,[status(thm)],[18273])).
% 28.06/18.61 tff(18275,plain,
% 28.06/18.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB125, constB126)) | v90(constB125, 0) | v100(constB126) | (~v90(constB126, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB125, 0) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, 0)))),
% 28.06/18.61 inference(transitivity,[status(thm)],[18274, 18272])).
% 28.06/18.61 tff(18276,plain,
% 28.06/18.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB125, constB126)) | v90(constB125, 0) | v100(constB126) | (~v90(constB126, 0)))),
% 28.06/18.61 inference(quant_inst,[status(thm)],[])).
% 28.06/18.61 tff(18277,plain,
% 28.06/18.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB125, 0) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, 0))),
% 28.06/18.61 inference(modus_ponens,[status(thm)],[18276, 18275])).
% 28.06/18.61 tff(18278,plain,
% 28.06/18.61 (v90(constB125, 0) | v100(constB126) | (~v90(constB126, 0))),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18277, 212, 17974])).
% 28.06/18.62 tff(18279,plain,
% 28.06/18.62 (v100(constB126)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18278, 18271, 17983])).
% 28.06/18.62 tff(18280,plain,
% 28.06/18.62 (v129(constB126, 0)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[17990, 18279])).
% 28.06/18.62 tff(18281,plain,
% 28.06/18.62 (v127(constB125, 0)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[17995, 18280])).
% 28.06/18.62 tff(18282,plain,
% 28.06/18.62 (~v26(constB125)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[17999, 1370, 18281])).
% 28.06/18.62 tff(18283,plain,
% 28.06/18.62 (v129(constB126, 1)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18008, 18279])).
% 28.06/18.62 tff(18284,plain,
% 28.06/18.62 (v127(constB125, 1)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18013, 18283])).
% 28.06/18.62 tff(18285,plain,
% 28.06/18.62 (v130(constB125, 1)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18020, 541, 18284, 18282])).
% 28.06/18.62 tff(18286,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB123)) | (~v130(constB123, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB123)) | (~v130(constB123, 1)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18287,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB123)) | (~v130(constB123, 1)))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18288,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB123)) | (~v130(constB123, 1))),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18287, 18286])).
% 28.06/18.62 tff(18289,plain,
% 28.06/18.62 (~v130(constB123, 1)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18288, 1424, 18235])).
% 28.06/18.62 tff(18290,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB123, 1)) | v26(constB123) | v130(constB123, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB123, 1)) | v26(constB123) | v130(constB123, 1))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18291,plain,
% 28.06/18.62 ((v26(constB123) | v130(constB123, 1) | (~v127(constB123, 1))) <=> ((~v127(constB123, 1)) | v26(constB123) | v130(constB123, 1))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18292,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB123) | v130(constB123, 1) | (~v127(constB123, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB123, 1)) | v26(constB123) | v130(constB123, 1)))),
% 28.06/18.62 inference(monotonicity,[status(thm)],[18291])).
% 28.06/18.62 tff(18293,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB123) | v130(constB123, 1) | (~v127(constB123, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB123, 1)) | v26(constB123) | v130(constB123, 1))),
% 28.06/18.62 inference(transitivity,[status(thm)],[18292, 18290])).
% 28.06/18.62 tff(18294,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB123) | v130(constB123, 1) | (~v127(constB123, 1)))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18295,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB123, 1)) | v26(constB123) | v130(constB123, 1)),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18294, 18293])).
% 28.06/18.62 tff(18296,plain,
% 28.06/18.62 ((~v127(constB123, 1)) | v130(constB123, 1)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18295, 541, 18240])).
% 28.06/18.62 tff(18297,plain,
% 28.06/18.62 (~v127(constB123, 1)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18296, 18289])).
% 28.06/18.62 tff(18298,plain,
% 28.06/18.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB123, constB124)) | v127(constB123, 1) | (~v129(constB124, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB123, constB124)) | v127(constB123, 1) | (~v129(constB124, 1)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18299,plain,
% 28.06/18.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB123, constB124)) | v127(constB123, 1) | (~v129(constB124, 1)))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18300,plain,
% 28.06/18.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB123, constB124)) | v127(constB123, 1) | (~v129(constB124, 1))),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18299, 18298])).
% 28.06/18.62 tff(18301,plain,
% 28.06/18.62 (v127(constB123, 1) | (~v129(constB124, 1))),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18300, 559, 18167])).
% 28.06/18.62 tff(18302,plain,
% 28.06/18.62 (~v129(constB124, 1)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18301, 18297])).
% 28.06/18.62 tff(18303,plain,
% 28.06/18.62 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB124, 1)) | v129(constB124, 1) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB124, 1)) | v129(constB124, 1) | (~v100(constB124)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18304,plain,
% 28.06/18.62 (((~v90(constB124, 1)) | (~v100(constB124)) | v129(constB124, 1)) <=> ((~v90(constB124, 1)) | v129(constB124, 1) | (~v100(constB124)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18305,plain,
% 28.06/18.62 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB124, 1)) | (~v100(constB124)) | v129(constB124, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB124, 1)) | v129(constB124, 1) | (~v100(constB124))))),
% 28.06/18.62 inference(monotonicity,[status(thm)],[18304])).
% 28.06/18.62 tff(18306,plain,
% 28.06/18.62 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB124, 1)) | (~v100(constB124)) | v129(constB124, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB124, 1)) | v129(constB124, 1) | (~v100(constB124)))),
% 28.06/18.62 inference(transitivity,[status(thm)],[18305, 18303])).
% 28.06/18.62 tff(18307,plain,
% 28.06/18.62 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB124, 1)) | (~v100(constB124)) | v129(constB124, 1))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18308,plain,
% 28.06/18.62 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB124, 1)) | v129(constB124, 1) | (~v100(constB124))),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18307, 18306])).
% 28.06/18.62 tff(18309,plain,
% 28.06/18.62 ((~v90(constB124, 1)) | v129(constB124, 1)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18308, 574, 18254])).
% 28.06/18.62 tff(18310,plain,
% 28.06/18.62 (~v90(constB124, 1)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18309, 18302])).
% 28.06/18.62 tff(18311,plain,
% 28.06/18.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB124, 1) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB124, 1) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 1)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18312,plain,
% 28.06/18.62 (((~nextState(constB124, constB125)) | v90(constB124, 1) | v100(constB125) | (~v90(constB125, 1))) <=> (v90(constB124, 1) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 1)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18313,plain,
% 28.06/18.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB124, constB125)) | v90(constB124, 1) | v100(constB125) | (~v90(constB125, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB124, 1) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 1))))),
% 28.06/18.62 inference(monotonicity,[status(thm)],[18312])).
% 28.06/18.62 tff(18314,plain,
% 28.06/18.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB124, constB125)) | v90(constB124, 1) | v100(constB125) | (~v90(constB125, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB124, 1) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 1)))),
% 28.06/18.62 inference(transitivity,[status(thm)],[18313, 18311])).
% 28.06/18.62 tff(18315,plain,
% 28.06/18.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB124, constB125)) | v90(constB124, 1) | v100(constB125) | (~v90(constB125, 1)))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18316,plain,
% 28.06/18.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB124, 1) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 1))),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18315, 18314])).
% 28.06/18.62 tff(18317,plain,
% 28.06/18.62 (v90(constB124, 1) | v100(constB125) | (~v90(constB125, 1))),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18316, 191, 18142])).
% 28.06/18.62 tff(18318,plain,
% 28.06/18.62 (v90(constB124, 1) | (~v90(constB125, 1))),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18317, 18154])).
% 28.06/18.62 tff(18319,plain,
% 28.06/18.62 (~v90(constB125, 1)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18318, 18310])).
% 28.06/18.62 tff(18320,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB125, 0) | v90(constB125, 1) | (~v90(constB125, 2)) | v123(constB125))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB125, 0) | v90(constB125, 1) | (~v90(constB125, 2)) | v123(constB125))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18321,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB125, 0) | v90(constB125, 1) | (~v90(constB125, 2)) | v123(constB125))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18322,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB125, 0) | v90(constB125, 1) | (~v90(constB125, 2)) | v123(constB125)),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18321, 18320])).
% 28.06/18.62 tff(18323,plain,
% 28.06/18.62 (v90(constB125, 0) | v90(constB125, 1) | v123(constB125)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18322, 1565, 18136])).
% 28.06/18.62 tff(18324,plain,
% 28.06/18.62 (v123(constB125)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18323, 18319, 18271])).
% 28.06/18.62 tff(18325,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB125)) | (~v130(constB125, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB125)) | (~v130(constB125, 1)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18326,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB125)) | (~v130(constB125, 1)))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18327,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB125)) | (~v130(constB125, 1))),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18326, 18325])).
% 28.06/18.62 tff(18328,plain,
% 28.06/18.62 ($false),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18327, 1712, 18324, 18285])).
% 28.06/18.62 tff(18329,plain,(v90(constB123, 2) | (~v90(constB126, 1)) | (~v90(constB126, 0)) | (~v90(constB125, 2))), inference(lemma,lemma(discharge,[]))).
% 28.06/18.62 tff(18330,plain,
% 28.06/18.62 ($false),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18329, 18127, 18125, 18078, 18077])).
% 28.06/18.62 tff(18331,plain,(v100(constB138) | v90(constB123, 2)), inference(lemma,lemma(discharge,[]))).
% 28.06/18.62 tff(18332,plain,
% 28.06/18.62 (v100(constB138)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18331, 16610])).
% 28.06/18.62 tff(18333,plain,
% 28.06/18.62 (~v123(constB121)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[16580, 2108, 16577])).
% 28.06/18.62 tff(18334,plain,
% 28.06/18.62 (~v90(constB122, 2)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[16570, 18333, 16060])).
% 28.06/18.62 tff(18335,plain,
% 28.06/18.62 (~v90(constB123, 2)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[16609, 18334])).
% 28.06/18.62 tff(18336,assumption,(v124(constB125)), introduced(assumption)).
% 28.06/18.62 tff(18337,plain,
% 28.06/18.62 (v90(constB125, 2)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18047, 4010, 18336])).
% 28.06/18.62 tff(18338,plain,
% 28.06/18.62 (v90(constB124, 2)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18162, 18337])).
% 28.06/18.62 tff(18339,plain,
% 28.06/18.62 (v129(constB124, 2)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18182, 18338, 18078])).
% 28.06/18.62 tff(18340,plain,
% 28.06/18.62 (v127(constB123, 2)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18187, 18339])).
% 28.06/18.62 tff(18341,plain,
% 28.06/18.62 (v130(constB123, 2)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18210, 18340])).
% 28.06/18.62 tff(18342,plain,
% 28.06/18.62 (~v119(constB123)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18221, 441, 18341])).
% 28.06/18.62 tff(18343,plain,
% 28.06/18.62 (~v26(constB123)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18208, 18205, 18340])).
% 28.06/18.62 tff(18344,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB125)) | v90(constB125, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB125)) | v90(constB125, 0))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18345,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB125)) | v90(constB125, 0))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18346,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB125)) | v90(constB125, 0)),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18345, 18344])).
% 28.06/18.62 tff(18347,plain,
% 28.06/18.62 (v90(constB125, 0)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18346, 4876, 18336])).
% 28.06/18.62 tff(18348,plain,
% 28.06/18.62 (v90(constB124, 0)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18270, 18347])).
% 28.06/18.62 tff(18349,assumption,(~v116(constB123)), introduced(assumption)).
% 28.06/18.62 tff(18350,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB123) | (~v117(constB123)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB123) | (~v117(constB123)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18351,plain,
% 28.06/18.62 (((~v117(constB123)) | v116(constB123)) <=> (v116(constB123) | (~v117(constB123)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18352,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB123)) | v116(constB123))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB123) | (~v117(constB123))))),
% 28.06/18.62 inference(monotonicity,[status(thm)],[18351])).
% 28.06/18.62 tff(18353,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB123)) | v116(constB123))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB123) | (~v117(constB123)))),
% 28.06/18.62 inference(transitivity,[status(thm)],[18352, 18350])).
% 28.06/18.62 tff(18354,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB123)) | v116(constB123))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18355,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB123) | (~v117(constB123))),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18354, 18353])).
% 28.06/18.62 tff(18356,plain,
% 28.06/18.62 (~v117(constB123)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18355, 272, 18349])).
% 28.06/18.62 tff(18357,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB123) | (~v121(constB123)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB123) | (~v121(constB123)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18358,plain,
% 28.06/18.62 (((~v121(constB123)) | v117(constB123)) <=> (v117(constB123) | (~v121(constB123)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18359,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB123)) | v117(constB123))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB123) | (~v121(constB123))))),
% 28.06/18.62 inference(monotonicity,[status(thm)],[18358])).
% 28.06/18.62 tff(18360,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB123)) | v117(constB123))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB123) | (~v121(constB123)))),
% 28.06/18.62 inference(transitivity,[status(thm)],[18359, 18357])).
% 28.06/18.62 tff(18361,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB123)) | v117(constB123))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18362,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB123) | (~v121(constB123))),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18361, 18360])).
% 28.06/18.62 tff(18363,plain,
% 28.06/18.62 (~v121(constB123)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18362, 1004, 18356])).
% 28.06/18.62 tff(18364,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB123)) | v116(constB123))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB123)) | v116(constB123))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18365,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB123)) | v116(constB123))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18366,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB123)) | v116(constB123)),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18365, 18364])).
% 28.06/18.62 tff(18367,plain,
% 28.06/18.62 (~v122(constB123)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18366, 1272, 18349])).
% 28.06/18.62 tff(18368,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB123) | (~v118(constB123)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB123) | (~v118(constB123)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18369,plain,
% 28.06/18.62 (((~v118(constB123)) | v117(constB123)) <=> (v117(constB123) | (~v118(constB123)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18370,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB123)) | v117(constB123))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB123) | (~v118(constB123))))),
% 28.06/18.62 inference(monotonicity,[status(thm)],[18369])).
% 28.06/18.62 tff(18371,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB123)) | v117(constB123))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB123) | (~v118(constB123)))),
% 28.06/18.62 inference(transitivity,[status(thm)],[18370, 18368])).
% 28.06/18.62 tff(18372,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB123)) | v117(constB123))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18373,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB123) | (~v118(constB123))),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18372, 18371])).
% 28.06/18.62 tff(18374,plain,
% 28.06/18.62 (~v118(constB123)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18373, 258, 18356])).
% 28.06/18.62 tff(18375,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB123)) | v118(constB123))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB123)) | v118(constB123))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18376,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB123)) | v118(constB123))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18377,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB123)) | v118(constB123)),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18376, 18375])).
% 28.06/18.62 tff(18378,plain,
% 28.06/18.62 (~v120(constB123)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18377, 690, 18374])).
% 28.06/18.62 tff(18379,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB123) | (~v119(constB123)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB123) | (~v119(constB123)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18380,plain,
% 28.06/18.62 (((~v119(constB123)) | v118(constB123)) <=> (v118(constB123) | (~v119(constB123)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18381,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB123)) | v118(constB123))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB123) | (~v119(constB123))))),
% 28.06/18.62 inference(monotonicity,[status(thm)],[18380])).
% 28.06/18.62 tff(18382,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB123)) | v118(constB123))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB123) | (~v119(constB123)))),
% 28.06/18.62 inference(transitivity,[status(thm)],[18381, 18379])).
% 28.06/18.62 tff(18383,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB123)) | v118(constB123))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18384,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB123) | (~v119(constB123))),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18383, 18382])).
% 28.06/18.62 tff(18385,plain,
% 28.06/18.62 (~v119(constB123)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18384, 247, 18374])).
% 28.06/18.62 tff(18386,assumption,(~v120(constB123)), introduced(assumption)).
% 28.06/18.62 tff(18387,assumption,(~v119(constB123)), introduced(assumption)).
% 28.06/18.62 tff(18388,assumption,(~v90(constB123, 1)), introduced(assumption)).
% 28.06/18.62 tff(18389,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB123, 0)) | v90(constB123, 1) | v90(constB123, 2) | v120(constB123))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB123, 0)) | v90(constB123, 1) | v90(constB123, 2) | v120(constB123))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18390,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB123, 0)) | v90(constB123, 1) | v90(constB123, 2) | v120(constB123))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18391,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB123, 0)) | v90(constB123, 1) | v90(constB123, 2) | v120(constB123)),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18390, 18389])).
% 28.06/18.62 tff(18392,plain,
% 28.06/18.62 ((~v90(constB123, 0)) | v90(constB123, 1) | v90(constB123, 2)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18391, 679, 18386])).
% 28.06/18.62 tff(18393,plain,
% 28.06/18.62 (~v90(constB123, 0)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18392, 18388, 18078])).
% 28.06/18.62 tff(18394,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB123, 0) | v90(constB123, 1) | v90(constB123, 2) | v119(constB123))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB123, 0) | v90(constB123, 1) | v90(constB123, 2) | v119(constB123))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18395,plain,
% 28.06/18.62 ((v90(constB123, 0) | v119(constB123) | v90(constB123, 1) | v90(constB123, 2)) <=> (v90(constB123, 0) | v90(constB123, 1) | v90(constB123, 2) | v119(constB123))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18396,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB123, 0) | v119(constB123) | v90(constB123, 1) | v90(constB123, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB123, 0) | v90(constB123, 1) | v90(constB123, 2) | v119(constB123)))),
% 28.06/18.62 inference(monotonicity,[status(thm)],[18395])).
% 28.06/18.62 tff(18397,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB123, 0) | v119(constB123) | v90(constB123, 1) | v90(constB123, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB123, 0) | v90(constB123, 1) | v90(constB123, 2) | v119(constB123))),
% 28.06/18.62 inference(transitivity,[status(thm)],[18396, 18394])).
% 28.06/18.62 tff(18398,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB123, 0) | v119(constB123) | v90(constB123, 1) | v90(constB123, 2))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18399,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB123, 0) | v90(constB123, 1) | v90(constB123, 2) | v119(constB123)),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18398, 18397])).
% 28.06/18.62 tff(18400,plain,
% 28.06/18.62 (v90(constB123, 0) | v90(constB123, 1) | v90(constB123, 2)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18399, 233, 18387])).
% 28.06/18.62 tff(18401,plain,
% 28.06/18.62 ($false),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18400, 18393, 18388, 18078])).
% 28.06/18.62 tff(18402,plain,(v90(constB123, 1) | v90(constB123, 2) | v119(constB123) | v120(constB123)), inference(lemma,lemma(discharge,[]))).
% 28.06/18.62 tff(18403,plain,
% 28.06/18.62 (v90(constB123, 1)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18402, 18078, 18387, 18386])).
% 28.06/18.62 tff(18404,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB123, 0)) | (~v90(constB123, 1)) | v90(constB123, 2) | v122(constB123))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB123, 0)) | (~v90(constB123, 1)) | v90(constB123, 2) | v122(constB123))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18405,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB123, 0)) | (~v90(constB123, 1)) | v90(constB123, 2) | v122(constB123))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18406,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB123, 0)) | (~v90(constB123, 1)) | v90(constB123, 2) | v122(constB123)),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18405, 18404])).
% 28.06/18.62 tff(18407,plain,
% 28.06/18.62 ((~v90(constB123, 0)) | (~v90(constB123, 1)) | v90(constB123, 2)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18406, 1260, 18217])).
% 28.06/18.62 tff(18408,plain,
% 28.06/18.62 (~v90(constB123, 0)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18407, 18403, 18078])).
% 28.06/18.62 tff(18409,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB123, 0) | (~v90(constB123, 1)) | v90(constB123, 2) | v121(constB123))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB123, 0) | (~v90(constB123, 1)) | v90(constB123, 2) | v121(constB123))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18410,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB123, 0) | (~v90(constB123, 1)) | v90(constB123, 2) | v121(constB123))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18411,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB123, 0) | (~v90(constB123, 1)) | v90(constB123, 2) | v121(constB123)),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18410, 18409])).
% 28.06/18.62 tff(18412,plain,
% 28.06/18.62 (v90(constB123, 0) | (~v90(constB123, 1)) | v90(constB123, 2)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18411, 993, 18218])).
% 28.06/18.62 tff(18413,plain,
% 28.06/18.62 ($false),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18412, 18408, 18403, 18078])).
% 28.06/18.62 tff(18414,plain,(v90(constB123, 2) | v121(constB123) | v122(constB123) | v119(constB123) | v120(constB123)), inference(lemma,lemma(discharge,[]))).
% 28.06/18.62 tff(18415,plain,
% 28.06/18.62 ($false),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18414, 18385, 18378, 18078, 18367, 18363])).
% 28.06/18.62 tff(18416,plain,(v116(constB123) | v90(constB123, 2)), inference(lemma,lemma(discharge,[]))).
% 28.06/18.62 tff(18417,plain,
% 28.06/18.62 (v116(constB123)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18416, 18078])).
% 28.06/18.62 tff(18418,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB123) | (~v116(constB123)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB123) | (~v116(constB123)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18419,plain,
% 28.06/18.62 (((~v116(constB123)) | v115(constB123)) <=> (v115(constB123) | (~v116(constB123)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18420,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB123)) | v115(constB123))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB123) | (~v116(constB123))))),
% 28.06/18.62 inference(monotonicity,[status(thm)],[18419])).
% 28.06/18.62 tff(18421,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB123)) | v115(constB123))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB123) | (~v116(constB123)))),
% 28.06/18.62 inference(transitivity,[status(thm)],[18420, 18418])).
% 28.06/18.62 tff(18422,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB123)) | v115(constB123))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18423,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB123) | (~v116(constB123))),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18422, 18421])).
% 28.06/18.62 tff(18424,plain,
% 28.06/18.62 (v115(constB123)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18423, 286, 18417])).
% 28.06/18.62 tff(18425,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB123) | (~v115(constB123)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB123) | (~v115(constB123)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18426,plain,
% 28.06/18.62 (((~v115(constB123)) | v114(constB123)) <=> (v114(constB123) | (~v115(constB123)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18427,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB123)) | v114(constB123))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB123) | (~v115(constB123))))),
% 28.06/18.62 inference(monotonicity,[status(thm)],[18426])).
% 28.06/18.62 tff(18428,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB123)) | v114(constB123))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB123) | (~v115(constB123)))),
% 28.06/18.62 inference(transitivity,[status(thm)],[18427, 18425])).
% 28.06/18.62 tff(18429,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB123)) | v114(constB123))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18430,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB123) | (~v115(constB123))),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18429, 18428])).
% 28.06/18.62 tff(18431,plain,
% 28.06/18.62 (v114(constB123)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18430, 300, 18424])).
% 28.06/18.62 tff(18432,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB123)) | v113(constB123))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB123)) | v113(constB123))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18433,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB123)) | v113(constB123))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18434,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB123)) | v113(constB123)),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18433, 18432])).
% 28.06/18.62 tff(18435,plain,
% 28.06/18.62 (v113(constB123)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18434, 314, 18431])).
% 28.06/18.62 tff(18436,assumption,(~v108(constB123)), introduced(assumption)).
% 28.06/18.62 tff(18437,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB123) | (~v112(constB123)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v112(constB123)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18438,plain,
% 28.06/18.62 (((~v112(constB123)) | v108(constB123)) <=> (v108(constB123) | (~v112(constB123)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18439,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB123)) | v108(constB123))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB123) | (~v112(constB123))))),
% 28.06/18.62 inference(monotonicity,[status(thm)],[18438])).
% 28.06/18.62 tff(18440,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB123)) | v108(constB123))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v112(constB123)))),
% 28.06/18.62 inference(transitivity,[status(thm)],[18439, 18437])).
% 28.06/18.62 tff(18441,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB123)) | v108(constB123))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18442,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v112(constB123))),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18441, 18440])).
% 28.06/18.62 tff(18443,plain,
% 28.06/18.62 (~v112(constB123)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18442, 340, 18436])).
% 28.06/18.62 tff(18444,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB123) | (~v26(constB123)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v26(constB123)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18445,plain,
% 28.06/18.62 (((~v26(constB123)) | v108(constB123)) <=> (v108(constB123) | (~v26(constB123)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18446,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB123)) | v108(constB123))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB123) | (~v26(constB123))))),
% 28.06/18.62 inference(monotonicity,[status(thm)],[18445])).
% 28.06/18.62 tff(18447,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB123)) | v108(constB123))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v26(constB123)))),
% 28.06/18.62 inference(transitivity,[status(thm)],[18446, 18444])).
% 28.06/18.62 tff(18448,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB123)) | v108(constB123))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18449,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v26(constB123))),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18448, 18447])).
% 28.06/18.62 tff(18450,plain,
% 28.06/18.62 (~v26(constB123)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18449, 6750, 18436])).
% 28.06/18.62 tff(18451,assumption,(v113(constB123)), introduced(assumption)).
% 28.06/18.62 tff(18452,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | v112(constB123) | (~v113(constB123)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18453,plain,
% 28.06/18.62 ((v26(constB123) | (~v113(constB123)) | v112(constB123)) <=> (v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18454,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | v112(constB123) | (~v113(constB123))))),
% 28.06/18.62 inference(monotonicity,[status(thm)],[18453])).
% 28.06/18.62 tff(18455,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 28.06/18.62 inference(transitivity,[status(thm)],[18454, 18452])).
% 28.06/18.62 tff(18456,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18457,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123))),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18456, 18455])).
% 28.06/18.62 tff(18458,plain,
% 28.06/18.62 (v26(constB123) | v112(constB123)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18457, 328, 18451])).
% 28.06/18.62 tff(18459,plain,
% 28.06/18.62 ($false),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18458, 18450, 18443])).
% 28.06/18.62 tff(18460,plain,(v108(constB123) | (~v113(constB123))), inference(lemma,lemma(discharge,[]))).
% 28.06/18.62 tff(18461,plain,
% 28.06/18.62 (v108(constB123)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18460, 18435])).
% 28.06/18.62 tff(18462,plain,
% 28.06/18.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18463,plain,
% 28.06/18.62 (((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124)) <=> ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18464,plain,
% 28.06/18.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123))))),
% 28.06/18.62 inference(monotonicity,[status(thm)],[18463])).
% 28.06/18.62 tff(18465,plain,
% 28.06/18.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 28.06/18.62 inference(transitivity,[status(thm)],[18464, 18462])).
% 28.06/18.62 tff(18466,plain,
% 28.06/18.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18467,plain,
% 28.06/18.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123))),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18466, 18465])).
% 28.06/18.62 tff(18468,plain,
% 28.06/18.62 (v110(constB124) | (~v108(constB123))),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18467, 360, 18167])).
% 28.06/18.62 tff(18469,plain,
% 28.06/18.62 (v110(constB124)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18468, 18461])).
% 28.06/18.62 tff(18470,plain,
% 28.06/18.62 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18471,plain,
% 28.06/18.62 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18472,plain,
% 28.06/18.62 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124))),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18471, 18470])).
% 28.06/18.62 tff(18473,plain,
% 28.06/18.62 (~v104(constB124)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18472, 378, 18167, 16586])).
% 28.06/18.62 tff(18474,plain,
% 28.06/18.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18475,plain,
% 28.06/18.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18476,plain,
% 28.06/18.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB123, constB124)) | v102(constB124) | v104(constB124)),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18475, 18474])).
% 28.06/18.62 tff(18477,plain,
% 28.06/18.62 (v102(constB124) | v104(constB124)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18476, 392, 18167])).
% 28.06/18.62 tff(18478,plain,
% 28.06/18.62 (v102(constB124)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18477, 18473])).
% 28.06/18.62 tff(18479,plain,
% 28.06/18.62 (v1(constB124) <=> v1(constB124)),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18480,axiom,(v1(constB124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_124_1')).
% 28.06/18.62 tff(18481,plain,
% 28.06/18.62 (v1(constB124)),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18480, 18479])).
% 28.06/18.62 tff(18482,plain,
% 28.06/18.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18483,plain,
% 28.06/18.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18484,plain,
% 28.06/18.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124))),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18483, 18482])).
% 28.06/18.62 tff(18485,plain,
% 28.06/18.62 (v101(constB124) | (~v102(constB124))),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18484, 410, 18167, 18481])).
% 28.06/18.62 tff(18486,plain,
% 28.06/18.62 (v101(constB124)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18485, 18478])).
% 28.06/18.62 tff(18487,plain,
% 28.06/18.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18488,plain,
% 28.06/18.62 (((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124)) <=> ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18489,plain,
% 28.06/18.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124))))),
% 28.06/18.62 inference(monotonicity,[status(thm)],[18488])).
% 28.06/18.62 tff(18490,plain,
% 28.06/18.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 28.06/18.62 inference(transitivity,[status(thm)],[18489, 18487])).
% 28.06/18.62 tff(18491,plain,
% 28.06/18.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18492,plain,
% 28.06/18.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124))),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18491, 18490])).
% 28.06/18.62 tff(18493,plain,
% 28.06/18.62 (v100(constB124) | (~v101(constB124)) | (~v110(constB124))),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18492, 425, 18167])).
% 28.06/18.62 tff(18494,plain,
% 28.06/18.62 (v100(constB124) | (~v110(constB124))),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18493, 18486])).
% 28.06/18.62 tff(18495,plain,
% 28.06/18.62 (v100(constB124)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18494, 18469])).
% 28.06/18.62 tff(18496,plain,
% 28.06/18.62 ((~v90(constB124, 0)) | v129(constB124, 0)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18260, 966, 18495])).
% 28.06/18.62 tff(18497,plain,
% 28.06/18.62 (v129(constB124, 0)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18496, 18348])).
% 28.06/18.62 tff(18498,plain,
% 28.06/18.62 (v127(constB123, 0)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18252, 18497])).
% 28.06/18.62 tff(18499,plain,
% 28.06/18.62 (v130(constB123, 0)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18246, 933, 18498, 18343])).
% 28.06/18.62 tff(18500,plain,
% 28.06/18.62 (~v122(constB123)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18238, 1351, 18499])).
% 28.06/18.62 tff(18501,plain,
% 28.06/18.62 (~v121(constB123)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18214, 1155, 18341])).
% 28.06/18.62 tff(18502,plain,
% 28.06/18.62 (~v120(constB123)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18225, 785, 18341])).
% 28.06/18.62 tff(18503,plain,
% 28.06/18.62 ($false),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18414, 18502, 18501, 18078, 18500, 18342])).
% 28.06/18.62 tff(18504,plain,((~v124(constB125)) | v90(constB123, 2)), inference(lemma,lemma(discharge,[]))).
% 28.06/18.62 tff(18505,plain,
% 28.06/18.62 (~v124(constB125)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18504, 18335])).
% 28.06/18.62 tff(18506,assumption,(~v90(constB127, 0)), introduced(assumption)).
% 28.06/18.62 tff(18507,assumption,(v122(constB125)), introduced(assumption)).
% 28.06/18.62 tff(18508,plain,
% 28.06/18.62 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB125)) | v90(constB125, 1))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB125)) | v90(constB125, 1))),
% 28.06/18.62 inference(rewrite,[status(thm)],[])).
% 28.06/18.62 tff(18509,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB125)) | v90(constB125, 1))),
% 28.06/18.62 inference(quant_inst,[status(thm)],[])).
% 28.06/18.62 tff(18510,plain,
% 28.06/18.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB125)) | v90(constB125, 1)),
% 28.06/18.62 inference(modus_ponens,[status(thm)],[18509, 18508])).
% 28.06/18.62 tff(18511,plain,
% 28.06/18.62 (v90(constB125, 1)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18510, 14628, 18507])).
% 28.06/18.62 tff(18512,plain,
% 28.06/18.62 (v90(constB124, 1)),
% 28.06/18.62 inference(unit_resolution,[status(thm)],[18318, 18511])).
% 28.06/18.63 tff(18513,plain,
% 28.06/18.63 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB125)) | v90(constB125, 0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB125)) | v90(constB125, 0))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18514,plain,
% 28.06/18.63 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB125)) | v90(constB125, 0))),
% 28.06/18.63 inference(quant_inst,[status(thm)],[])).
% 28.06/18.63 tff(18515,plain,
% 28.06/18.63 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB125)) | v90(constB125, 0)),
% 28.06/18.63 inference(modus_ponens,[status(thm)],[18514, 18513])).
% 28.06/18.63 tff(18516,plain,
% 28.06/18.63 (v90(constB125, 0)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18515, 3757, 18507])).
% 28.06/18.63 tff(18517,plain,
% 28.06/18.63 (v90(constB124, 0)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18270, 18516])).
% 28.06/18.63 tff(18518,assumption,(v90(constB124, 1)), introduced(assumption)).
% 28.06/18.63 tff(18519,plain,
% 28.06/18.63 (v130(constB119, 2)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[16461, 1873, 15968])).
% 28.06/18.63 tff(18520,plain,
% 28.06/18.63 (v127(constB119, 2)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[16380, 18519])).
% 28.06/18.63 tff(18521,plain,
% 28.06/18.63 (v129(constB120, 2)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[16385, 18520])).
% 28.06/18.63 tff(18522,plain,
% 28.06/18.63 (v90(constB120, 2) | (~v100(constB120))),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[16392, 1528, 18521])).
% 28.06/18.63 tff(18523,plain,
% 28.06/18.63 (v90(constB120, 2)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18522, 16035])).
% 28.06/18.63 tff(18524,plain,
% 28.06/18.63 (v90(constB121, 2)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[16402, 18523])).
% 28.06/18.63 tff(18525,plain,
% 28.06/18.63 (~v121(constB121)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[16470, 2130, 18524])).
% 28.06/18.63 tff(18526,plain,
% 28.06/18.63 (~v119(constB121)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[16491, 2086, 16577])).
% 28.06/18.63 tff(18527,plain,
% 28.06/18.63 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB121)) | (~v90(constB121, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB121)) | (~v90(constB121, 1)))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18528,plain,
% 28.06/18.63 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB121)) | (~v90(constB121, 1)))),
% 28.06/18.63 inference(quant_inst,[status(thm)],[])).
% 28.06/18.63 tff(18529,plain,
% 28.06/18.63 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB121)) | (~v90(constB121, 1))),
% 28.06/18.63 inference(modus_ponens,[status(thm)],[18528, 18527])).
% 28.06/18.63 tff(18530,plain,
% 28.06/18.63 (~v120(constB121)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18529, 2141, 16577])).
% 28.06/18.63 tff(18531,plain,
% 28.06/18.63 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB121)) | (~v90(constB121, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB121)) | (~v90(constB121, 1)))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18532,plain,
% 28.06/18.63 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB121)) | (~v90(constB121, 1)))),
% 28.06/18.63 inference(quant_inst,[status(thm)],[])).
% 28.06/18.63 tff(18533,plain,
% 28.06/18.63 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB121)) | (~v90(constB121, 1))),
% 28.06/18.63 inference(modus_ponens,[status(thm)],[18532, 18531])).
% 28.06/18.63 tff(18534,plain,
% 28.06/18.63 (~v124(constB121)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18533, 2097, 16577])).
% 28.06/18.63 tff(18535,plain,
% 28.06/18.63 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB121)) | (~v90(constB121, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB121)) | (~v90(constB121, 2)))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18536,plain,
% 28.06/18.63 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB121)) | (~v90(constB121, 2)))),
% 28.06/18.63 inference(quant_inst,[status(thm)],[])).
% 28.06/18.63 tff(18537,plain,
% 28.06/18.63 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB121)) | (~v90(constB121, 2))),
% 28.06/18.63 inference(modus_ponens,[status(thm)],[18536, 18535])).
% 28.06/18.63 tff(18538,plain,
% 28.06/18.63 (~v122(constB121)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18537, 2119, 18524])).
% 28.06/18.63 tff(18539,plain,
% 28.06/18.63 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 1)))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18540,plain,
% 28.06/18.63 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 1)))),
% 28.06/18.63 inference(quant_inst,[status(thm)],[])).
% 28.06/18.63 tff(18541,plain,
% 28.06/18.63 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 1))),
% 28.06/18.63 inference(modus_ponens,[status(thm)],[18540, 18539])).
% 28.06/18.63 tff(18542,plain,
% 28.06/18.63 (~v130(constB121, 1)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18541, 2214, 18538, 18333, 18534, 18530, 18526, 18525])).
% 28.06/18.63 tff(18543,plain,
% 28.06/18.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB121, 1)) | v26(constB121) | v130(constB121, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB121, 1)) | v26(constB121) | v130(constB121, 1))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18544,plain,
% 28.06/18.63 ((v26(constB121) | v130(constB121, 1) | (~v127(constB121, 1))) <=> ((~v127(constB121, 1)) | v26(constB121) | v130(constB121, 1))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18545,plain,
% 28.06/18.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB121) | v130(constB121, 1) | (~v127(constB121, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB121, 1)) | v26(constB121) | v130(constB121, 1)))),
% 28.06/18.63 inference(monotonicity,[status(thm)],[18544])).
% 28.06/18.63 tff(18546,plain,
% 28.06/18.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB121) | v130(constB121, 1) | (~v127(constB121, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB121, 1)) | v26(constB121) | v130(constB121, 1))),
% 28.06/18.63 inference(transitivity,[status(thm)],[18545, 18543])).
% 28.06/18.63 tff(18547,plain,
% 28.06/18.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB121) | v130(constB121, 1) | (~v127(constB121, 1)))),
% 28.06/18.63 inference(quant_inst,[status(thm)],[])).
% 28.06/18.63 tff(18548,plain,
% 28.06/18.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB121, 1)) | v26(constB121) | v130(constB121, 1)),
% 28.06/18.63 inference(modus_ponens,[status(thm)],[18547, 18546])).
% 28.06/18.63 tff(18549,plain,
% 28.06/18.63 ((~v127(constB121, 1)) | v130(constB121, 1)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18548, 541, 16341])).
% 28.06/18.63 tff(18550,plain,
% 28.06/18.63 (~v127(constB121, 1)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18549, 18542])).
% 28.06/18.63 tff(18551,plain,
% 28.06/18.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB121, constB122)) | v127(constB121, 1) | (~v129(constB122, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB121, constB122)) | v127(constB121, 1) | (~v129(constB122, 1)))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18552,plain,
% 28.06/18.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB121, constB122)) | v127(constB121, 1) | (~v129(constB122, 1)))),
% 28.06/18.63 inference(quant_inst,[status(thm)],[])).
% 28.06/18.63 tff(18553,plain,
% 28.06/18.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB121, constB122)) | v127(constB121, 1) | (~v129(constB122, 1))),
% 28.06/18.63 inference(modus_ponens,[status(thm)],[18552, 18551])).
% 28.06/18.63 tff(18554,plain,
% 28.06/18.63 (v127(constB121, 1) | (~v129(constB122, 1))),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18553, 559, 16319])).
% 28.06/18.63 tff(18555,plain,
% 28.06/18.63 (~v129(constB122, 1)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18554, 18550])).
% 28.06/18.63 tff(18556,plain,
% 28.06/18.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB121, 2)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB121, 2)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, 2))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18557,plain,
% 28.06/18.63 (((~nextState(constB121, constB122)) | (~v90(constB121, 2)) | v100(constB122) | v90(constB122, 2)) <=> ((~v90(constB121, 2)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, 2))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18558,plain,
% 28.06/18.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB121, constB122)) | (~v90(constB121, 2)) | v100(constB122) | v90(constB122, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB121, 2)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, 2)))),
% 28.06/18.63 inference(monotonicity,[status(thm)],[18557])).
% 28.06/18.63 tff(18559,plain,
% 28.06/18.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB121, constB122)) | (~v90(constB121, 2)) | v100(constB122) | v90(constB122, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB121, 2)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, 2))),
% 28.06/18.63 inference(transitivity,[status(thm)],[18558, 18556])).
% 28.06/18.63 tff(18560,plain,
% 28.06/18.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB121, constB122)) | (~v90(constB121, 2)) | v100(constB122) | v90(constB122, 2))),
% 28.06/18.63 inference(quant_inst,[status(thm)],[])).
% 28.06/18.63 tff(18561,plain,
% 28.06/18.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB121, 2)) | (~nextState(constB121, constB122)) | v100(constB122) | v90(constB122, 2)),
% 28.06/18.63 inference(modus_ponens,[status(thm)],[18560, 18559])).
% 28.06/18.63 tff(18562,plain,
% 28.06/18.63 ((~v90(constB121, 2)) | v100(constB122) | v90(constB122, 2)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18561, 1546, 16319])).
% 28.06/18.63 tff(18563,plain,
% 28.06/18.63 (v100(constB122)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18562, 18334, 18524])).
% 28.06/18.63 tff(18564,plain,
% 28.06/18.63 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB122, 1)) | v129(constB122, 1) | (~v100(constB122)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB122, 1)) | v129(constB122, 1) | (~v100(constB122)))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18565,plain,
% 28.06/18.63 (((~v90(constB122, 1)) | (~v100(constB122)) | v129(constB122, 1)) <=> ((~v90(constB122, 1)) | v129(constB122, 1) | (~v100(constB122)))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18566,plain,
% 28.06/18.63 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB122, 1)) | (~v100(constB122)) | v129(constB122, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB122, 1)) | v129(constB122, 1) | (~v100(constB122))))),
% 28.06/18.63 inference(monotonicity,[status(thm)],[18565])).
% 28.06/18.63 tff(18567,plain,
% 28.06/18.63 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB122, 1)) | (~v100(constB122)) | v129(constB122, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB122, 1)) | v129(constB122, 1) | (~v100(constB122)))),
% 28.06/18.63 inference(transitivity,[status(thm)],[18566, 18564])).
% 28.06/18.63 tff(18568,plain,
% 28.06/18.63 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB122, 1)) | (~v100(constB122)) | v129(constB122, 1))),
% 28.06/18.63 inference(quant_inst,[status(thm)],[])).
% 28.06/18.63 tff(18569,plain,
% 28.06/18.63 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB122, 1)) | v129(constB122, 1) | (~v100(constB122))),
% 28.06/18.63 inference(modus_ponens,[status(thm)],[18568, 18567])).
% 28.06/18.63 tff(18570,plain,
% 28.06/18.63 ((~v90(constB122, 1)) | v129(constB122, 1)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18569, 574, 18563])).
% 28.06/18.63 tff(18571,plain,
% 28.06/18.63 (~v90(constB122, 1)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18570, 18555])).
% 28.06/18.63 tff(18572,plain,
% 28.06/18.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB122, 1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB122, 1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 1)))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18573,plain,
% 28.06/18.63 (((~nextState(constB122, constB123)) | v90(constB122, 1) | v100(constB123) | (~v90(constB123, 1))) <=> (v90(constB122, 1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 1)))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18574,plain,
% 28.06/18.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB122, constB123)) | v90(constB122, 1) | v100(constB123) | (~v90(constB123, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB122, 1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 1))))),
% 28.06/18.63 inference(monotonicity,[status(thm)],[18573])).
% 28.06/18.63 tff(18575,plain,
% 28.06/18.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB122, constB123)) | v90(constB122, 1) | v100(constB123) | (~v90(constB123, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB122, 1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 1)))),
% 28.06/18.63 inference(transitivity,[status(thm)],[18574, 18572])).
% 28.06/18.63 tff(18576,plain,
% 28.06/18.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB122, constB123)) | v90(constB122, 1) | v100(constB123) | (~v90(constB123, 1)))),
% 28.06/18.63 inference(quant_inst,[status(thm)],[])).
% 28.06/18.63 tff(18577,plain,
% 28.06/18.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB122, 1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 1))),
% 28.06/18.63 inference(modus_ponens,[status(thm)],[18576, 18575])).
% 28.06/18.63 tff(18578,plain,
% 28.06/18.63 (v90(constB122, 1) | v100(constB123) | (~v90(constB123, 1))),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18577, 191, 16589])).
% 28.06/18.63 tff(18579,plain,
% 28.06/18.63 (v90(constB122, 1) | (~v90(constB123, 1))),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18578, 16601])).
% 28.06/18.63 tff(18580,plain,
% 28.06/18.63 (~v90(constB123, 1)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18579, 18571])).
% 28.06/18.63 tff(18581,plain,
% 28.06/18.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB123, 1) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB123, 1) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, 1)))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18582,plain,
% 28.06/18.63 (((~nextState(constB123, constB124)) | v90(constB123, 1) | v100(constB124) | (~v90(constB124, 1))) <=> (v90(constB123, 1) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, 1)))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18583,plain,
% 28.06/18.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB123, constB124)) | v90(constB123, 1) | v100(constB124) | (~v90(constB124, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB123, 1) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, 1))))),
% 28.06/18.63 inference(monotonicity,[status(thm)],[18582])).
% 28.06/18.63 tff(18584,plain,
% 28.06/18.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB123, constB124)) | v90(constB123, 1) | v100(constB124) | (~v90(constB124, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB123, 1) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, 1)))),
% 28.06/18.63 inference(transitivity,[status(thm)],[18583, 18581])).
% 28.06/18.63 tff(18585,plain,
% 28.06/18.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB123, constB124)) | v90(constB123, 1) | v100(constB124) | (~v90(constB124, 1)))),
% 28.06/18.63 inference(quant_inst,[status(thm)],[])).
% 28.06/18.63 tff(18586,plain,
% 28.06/18.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB123, 1) | (~nextState(constB123, constB124)) | v100(constB124) | (~v90(constB124, 1))),
% 28.06/18.63 inference(modus_ponens,[status(thm)],[18585, 18584])).
% 28.06/18.63 tff(18587,plain,
% 28.06/18.63 (v90(constB123, 1) | v100(constB124) | (~v90(constB124, 1))),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18586, 191, 18167])).
% 28.06/18.63 tff(18588,plain,
% 28.06/18.63 (v100(constB124)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18587, 18580, 18518])).
% 28.06/18.63 tff(18589,plain,
% 28.06/18.63 (v129(constB124, 1) | (~v100(constB124))),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18308, 574, 18518])).
% 28.06/18.63 tff(18590,plain,
% 28.06/18.63 (v129(constB124, 1)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18589, 18588])).
% 28.06/18.63 tff(18591,plain,
% 28.06/18.63 (v127(constB123, 1)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18301, 18590])).
% 28.06/18.63 tff(18592,plain,
% 28.06/18.63 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | ((~v26(constB123)) | (~v127(constB123, 1)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | (~v26(constB123)) | (~v127(constB123, 1)))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18593,plain,
% 28.06/18.63 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | ((~v26(constB123)) | (~v127(constB123, 1)))),
% 28.06/18.63 inference(quant_inst,[status(thm)],[])).
% 28.06/18.63 tff(18594,plain,
% 28.06/18.63 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | (~v26(constB123)) | (~v127(constB123, 1))),
% 28.06/18.63 inference(modus_ponens,[status(thm)],[18593, 18592])).
% 28.06/18.63 tff(18595,plain,
% 28.06/18.63 (~v26(constB123)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18594, 5538, 18591])).
% 28.06/18.63 tff(18596,assumption,(v90(constB124, 0)), introduced(assumption)).
% 28.06/18.63 tff(18597,plain,
% 28.06/18.63 (v129(constB124, 0) | (~v100(constB124))),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18260, 966, 18596])).
% 28.06/18.63 tff(18598,plain,
% 28.06/18.63 (v129(constB124, 0)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18597, 18588])).
% 28.06/18.63 tff(18599,plain,
% 28.06/18.63 (v127(constB123, 0)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18252, 18598])).
% 28.06/18.63 tff(18600,plain,
% 28.06/18.63 (v130(constB123, 0)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18246, 933, 18599, 18595])).
% 28.06/18.63 tff(18601,plain,
% 28.06/18.63 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, 0))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18602,plain,
% 28.06/18.63 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, 0))),
% 28.06/18.63 inference(quant_inst,[status(thm)],[])).
% 28.06/18.63 tff(18603,plain,
% 28.06/18.63 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, 0)),
% 28.06/18.63 inference(modus_ponens,[status(thm)],[18602, 18601])).
% 28.06/18.63 tff(18604,plain,
% 28.06/18.63 (v130(constB121, 0)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18603, 2258, 18538, 18333, 18534, 18530, 18526, 18525])).
% 28.06/18.63 tff(18605,plain,
% 28.06/18.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB121) | (~v130(constB121, 0)) | v127(constB121, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB121) | (~v130(constB121, 0)) | v127(constB121, 0))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18606,plain,
% 28.06/18.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB121) | (~v130(constB121, 0)) | v127(constB121, 0))),
% 28.06/18.63 inference(quant_inst,[status(thm)],[])).
% 28.06/18.63 tff(18607,plain,
% 28.06/18.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB121) | (~v130(constB121, 0)) | v127(constB121, 0)),
% 28.06/18.63 inference(modus_ponens,[status(thm)],[18606, 18605])).
% 28.06/18.63 tff(18608,plain,
% 28.06/18.63 ((~v130(constB121, 0)) | v127(constB121, 0)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18607, 612, 16341])).
% 28.06/18.63 tff(18609,plain,
% 28.06/18.63 (v127(constB121, 0)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18608, 18604])).
% 28.06/18.63 tff(18610,plain,
% 28.06/18.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB121, constB122)) | (~v127(constB121, 0)) | v129(constB122, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB121, constB122)) | (~v127(constB121, 0)) | v129(constB122, 0))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18611,plain,
% 28.06/18.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB121, constB122)) | (~v127(constB121, 0)) | v129(constB122, 0))),
% 28.06/18.63 inference(quant_inst,[status(thm)],[])).
% 28.06/18.63 tff(18612,plain,
% 28.06/18.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB121, constB122)) | (~v127(constB121, 0)) | v129(constB122, 0)),
% 28.06/18.63 inference(modus_ponens,[status(thm)],[18611, 18610])).
% 28.06/18.63 tff(18613,plain,
% 28.06/18.63 ((~v127(constB121, 0)) | v129(constB122, 0)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18612, 627, 16319])).
% 28.06/18.63 tff(18614,plain,
% 28.06/18.63 (v129(constB122, 0)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18613, 18609])).
% 28.06/18.63 tff(18615,plain,
% 28.06/18.63 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB122, 0) | (~v129(constB122, 0)) | (~v100(constB122)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB122, 0) | (~v129(constB122, 0)) | (~v100(constB122)))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18616,plain,
% 28.06/18.63 ((v90(constB122, 0) | (~v100(constB122)) | (~v129(constB122, 0))) <=> (v90(constB122, 0) | (~v129(constB122, 0)) | (~v100(constB122)))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18617,plain,
% 28.06/18.63 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB122, 0) | (~v100(constB122)) | (~v129(constB122, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB122, 0) | (~v129(constB122, 0)) | (~v100(constB122))))),
% 28.06/18.63 inference(monotonicity,[status(thm)],[18616])).
% 28.06/18.63 tff(18618,plain,
% 28.06/18.63 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB122, 0) | (~v100(constB122)) | (~v129(constB122, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB122, 0) | (~v129(constB122, 0)) | (~v100(constB122)))),
% 28.06/18.63 inference(transitivity,[status(thm)],[18617, 18615])).
% 28.06/18.63 tff(18619,plain,
% 28.06/18.63 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB122, 0) | (~v100(constB122)) | (~v129(constB122, 0)))),
% 28.06/18.63 inference(quant_inst,[status(thm)],[])).
% 28.06/18.63 tff(18620,plain,
% 28.06/18.63 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB122, 0) | (~v129(constB122, 0)) | (~v100(constB122))),
% 28.06/18.63 inference(modus_ponens,[status(thm)],[18619, 18618])).
% 28.06/18.63 tff(18621,plain,
% 28.06/18.63 (v90(constB122, 0) | (~v129(constB122, 0))),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18620, 642, 18563])).
% 28.06/18.63 tff(18622,plain,
% 28.06/18.63 (v90(constB122, 0)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18621, 18614])).
% 28.06/18.63 tff(18623,plain,
% 28.06/18.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB122, 0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB122, 0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 0))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18624,plain,
% 28.06/18.63 (((~nextState(constB122, constB123)) | (~v90(constB122, 0)) | v100(constB123) | v90(constB123, 0)) <=> ((~v90(constB122, 0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 0))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18625,plain,
% 28.06/18.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB122, constB123)) | (~v90(constB122, 0)) | v100(constB123) | v90(constB123, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB122, 0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 0)))),
% 28.06/18.63 inference(monotonicity,[status(thm)],[18624])).
% 28.06/18.63 tff(18626,plain,
% 28.06/18.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB122, constB123)) | (~v90(constB122, 0)) | v100(constB123) | v90(constB123, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB122, 0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 0))),
% 28.06/18.63 inference(transitivity,[status(thm)],[18625, 18623])).
% 28.06/18.63 tff(18627,plain,
% 28.06/18.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB122, constB123)) | (~v90(constB122, 0)) | v100(constB123) | v90(constB123, 0))),
% 28.06/18.63 inference(quant_inst,[status(thm)],[])).
% 28.06/18.63 tff(18628,plain,
% 28.06/18.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB122, 0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 0)),
% 28.06/18.63 inference(modus_ponens,[status(thm)],[18627, 18626])).
% 28.06/18.63 tff(18629,plain,
% 28.06/18.63 ((~v90(constB122, 0)) | v100(constB123) | v90(constB123, 0)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18628, 660, 16589])).
% 28.06/18.63 tff(18630,plain,
% 28.06/18.63 ((~v90(constB122, 0)) | v90(constB123, 0)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18629, 16601])).
% 28.06/18.63 tff(18631,plain,
% 28.06/18.63 (v90(constB123, 0)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18630, 18622])).
% 28.06/18.63 tff(18632,plain,
% 28.06/18.63 ((~v90(constB123, 0)) | v90(constB123, 1) | v120(constB123)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18391, 679, 18335])).
% 28.06/18.63 tff(18633,plain,
% 28.06/18.63 (v120(constB123)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18632, 18580, 18631])).
% 28.06/18.63 tff(18634,plain,
% 28.06/18.63 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB123)) | (~v130(constB123, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB123)) | (~v130(constB123, 0)))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18635,plain,
% 28.06/18.63 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB123)) | (~v130(constB123, 0)))),
% 28.06/18.63 inference(quant_inst,[status(thm)],[])).
% 28.06/18.63 tff(18636,plain,
% 28.06/18.63 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB123)) | (~v130(constB123, 0))),
% 28.06/18.63 inference(modus_ponens,[status(thm)],[18635, 18634])).
% 28.06/18.63 tff(18637,plain,
% 28.06/18.63 ($false),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18636, 919, 18633, 18600])).
% 28.06/18.63 tff(18638,plain,((~v124(constB119)) | (~v90(constB124, 0)) | (~v90(constB124, 1))), inference(lemma,lemma(discharge,[]))).
% 28.06/18.63 tff(18639,plain,
% 28.06/18.63 ($false),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18638, 18517, 18512, 15968])).
% 28.06/18.63 tff(18640,plain,((~v122(constB125)) | (~v124(constB119))), inference(lemma,lemma(discharge,[]))).
% 28.06/18.63 tff(18641,plain,
% 28.06/18.63 (~v122(constB125)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18640, 15968])).
% 28.06/18.63 tff(18642,plain,
% 28.06/18.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB126, 0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB126, 0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 0))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18643,plain,
% 28.06/18.63 (((~nextState(constB126, constB127)) | (~v90(constB126, 0)) | v100(constB127) | v90(constB127, 0)) <=> ((~v90(constB126, 0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 0))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18644,plain,
% 28.06/18.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, 0)) | v100(constB127) | v90(constB127, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB126, 0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 0)))),
% 28.06/18.63 inference(monotonicity,[status(thm)],[18643])).
% 28.06/18.63 tff(18645,plain,
% 28.06/18.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, 0)) | v100(constB127) | v90(constB127, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB126, 0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 0))),
% 28.06/18.63 inference(transitivity,[status(thm)],[18644, 18642])).
% 28.06/18.63 tff(18646,plain,
% 28.06/18.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, 0)) | v100(constB127) | v90(constB127, 0))),
% 28.06/18.63 inference(quant_inst,[status(thm)],[])).
% 28.06/18.63 tff(18647,plain,
% 28.06/18.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB126, 0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 0)),
% 28.06/18.63 inference(modus_ponens,[status(thm)],[18646, 18645])).
% 28.06/18.63 tff(18648,plain,
% 28.06/18.63 ((~v90(constB126, 0)) | v100(constB127) | v90(constB127, 0)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18647, 660, 17914])).
% 28.06/18.63 tff(18649,plain,
% 28.06/18.63 ((~v90(constB126, 0)) | v90(constB127, 0)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18648, 17926])).
% 28.06/18.63 tff(18650,plain,
% 28.06/18.63 (~v90(constB126, 0)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18649, 18506])).
% 28.06/18.63 tff(18651,assumption,(~v124(constB125)), introduced(assumption)).
% 28.06/18.63 tff(18652,assumption,(~v122(constB125)), introduced(assumption)).
% 28.06/18.63 tff(18653,assumption,(~v90(constB127, 1)), introduced(assumption)).
% 28.06/18.63 tff(18654,plain,
% 28.06/18.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB126, 1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB126, 1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 1))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18655,plain,
% 28.06/18.63 (((~nextState(constB126, constB127)) | (~v90(constB126, 1)) | v100(constB127) | v90(constB127, 1)) <=> ((~v90(constB126, 1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 1))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18656,plain,
% 28.06/18.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB126, constB127)) | (~v90(constB126, 1)) | v100(constB127) | v90(constB127, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB126, 1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 1)))),
% 28.06/18.63 inference(monotonicity,[status(thm)],[18655])).
% 28.06/18.63 tff(18657,plain,
% 28.06/18.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB126, constB127)) | (~v90(constB126, 1)) | v100(constB127) | v90(constB127, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB126, 1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 1))),
% 28.06/18.63 inference(transitivity,[status(thm)],[18656, 18654])).
% 28.06/18.63 tff(18658,plain,
% 28.06/18.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB126, constB127)) | (~v90(constB126, 1)) | v100(constB127) | v90(constB127, 1))),
% 28.06/18.63 inference(quant_inst,[status(thm)],[])).
% 28.06/18.63 tff(18659,plain,
% 28.06/18.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB126, 1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 1)),
% 28.06/18.63 inference(modus_ponens,[status(thm)],[18658, 18657])).
% 28.06/18.63 tff(18660,plain,
% 28.06/18.63 ((~v90(constB126, 1)) | v100(constB127) | v90(constB127, 1)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18659, 903, 17914])).
% 28.06/18.63 tff(18661,plain,
% 28.06/18.63 ((~v90(constB126, 1)) | v90(constB127, 1)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18660, 17926])).
% 28.06/18.63 tff(18662,plain,
% 28.06/18.63 (~v90(constB126, 1)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18661, 18653])).
% 28.06/18.63 tff(18663,assumption,(~v100(constB126)), introduced(assumption)).
% 28.06/18.63 tff(18664,assumption,(~v90(constB126, 1)), introduced(assumption)).
% 28.06/18.63 tff(18665,assumption,(~v90(constB126, 0)), introduced(assumption)).
% 28.06/18.63 tff(18666,plain,
% 28.06/18.63 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18667,plain,
% 28.06/18.63 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))),
% 28.06/18.63 inference(quant_inst,[status(thm)],[])).
% 28.06/18.63 tff(18668,plain,
% 28.06/18.63 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126))),
% 28.06/18.63 inference(modus_ponens,[status(thm)],[18667, 18666])).
% 28.06/18.63 tff(18669,plain,
% 28.06/18.63 (~v104(constB126)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18668, 378, 17974, 18139])).
% 28.06/18.63 tff(18670,plain,
% 28.06/18.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18671,plain,
% 28.06/18.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))),
% 28.06/18.63 inference(quant_inst,[status(thm)],[])).
% 28.06/18.63 tff(18672,plain,
% 28.06/18.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB125, constB126)) | v102(constB126) | v104(constB126)),
% 28.06/18.63 inference(modus_ponens,[status(thm)],[18671, 18670])).
% 28.06/18.63 tff(18673,plain,
% 28.06/18.63 (v102(constB126) | v104(constB126)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18672, 392, 17974])).
% 28.06/18.63 tff(18674,plain,
% 28.06/18.63 (v102(constB126)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18673, 18669])).
% 28.06/18.63 tff(18675,plain,
% 28.06/18.63 (v1(constB126) <=> v1(constB126)),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18676,axiom,(v1(constB126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_126_1')).
% 28.06/18.63 tff(18677,plain,
% 28.06/18.63 (v1(constB126)),
% 28.06/18.63 inference(modus_ponens,[status(thm)],[18676, 18675])).
% 28.06/18.63 tff(18678,plain,
% 28.06/18.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18679,plain,
% 28.06/18.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))),
% 28.06/18.63 inference(quant_inst,[status(thm)],[])).
% 28.06/18.63 tff(18680,plain,
% 28.06/18.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126))),
% 28.06/18.63 inference(modus_ponens,[status(thm)],[18679, 18678])).
% 28.06/18.63 tff(18681,plain,
% 28.06/18.63 (v101(constB126) | (~v102(constB126))),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18680, 410, 17974, 18677])).
% 28.06/18.63 tff(18682,plain,
% 28.06/18.63 (v101(constB126)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18681, 18674])).
% 28.06/18.63 tff(18683,plain,
% 28.06/18.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18684,plain,
% 28.06/18.63 (((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126)) <=> ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 28.06/18.63 inference(rewrite,[status(thm)],[])).
% 28.06/18.63 tff(18685,plain,
% 28.06/18.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126))))),
% 28.06/18.63 inference(monotonicity,[status(thm)],[18684])).
% 28.06/18.63 tff(18686,plain,
% 28.06/18.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 28.06/18.63 inference(transitivity,[status(thm)],[18685, 18683])).
% 28.06/18.63 tff(18687,plain,
% 28.06/18.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))),
% 28.06/18.63 inference(quant_inst,[status(thm)],[])).
% 28.06/18.63 tff(18688,plain,
% 28.06/18.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126))),
% 28.06/18.63 inference(modus_ponens,[status(thm)],[18687, 18686])).
% 28.06/18.63 tff(18689,plain,
% 28.06/18.63 (v100(constB126) | (~v101(constB126)) | (~v110(constB126))),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18688, 425, 17974])).
% 28.06/18.63 tff(18690,plain,
% 28.06/18.63 (v100(constB126) | (~v110(constB126))),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18689, 18682])).
% 28.06/18.63 tff(18691,plain,
% 28.06/18.63 (~v110(constB126)),
% 28.06/18.63 inference(unit_resolution,[status(thm)],[18690, 18663])).
% 28.06/18.63 tff(18692,plain,
% 28.06/18.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 28.06/18.64 inference(rewrite,[status(thm)],[])).
% 28.06/18.64 tff(18693,plain,
% 28.06/18.64 (((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126)) <=> ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 28.06/18.64 inference(rewrite,[status(thm)],[])).
% 28.06/18.64 tff(18694,plain,
% 28.06/18.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125))))),
% 28.06/18.64 inference(monotonicity,[status(thm)],[18693])).
% 28.06/18.64 tff(18695,plain,
% 28.06/18.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 28.06/18.64 inference(transitivity,[status(thm)],[18694, 18692])).
% 28.06/18.64 tff(18696,plain,
% 28.06/18.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))),
% 28.06/18.64 inference(quant_inst,[status(thm)],[])).
% 28.06/18.64 tff(18697,plain,
% 28.06/18.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125))),
% 28.06/18.64 inference(modus_ponens,[status(thm)],[18696, 18695])).
% 28.06/18.64 tff(18698,plain,
% 28.06/18.64 (v110(constB126) | (~v108(constB125))),
% 28.06/18.64 inference(unit_resolution,[status(thm)],[18697, 360, 17974])).
% 28.06/18.64 tff(18699,plain,
% 28.06/18.64 (~v108(constB125)),
% 28.06/18.64 inference(unit_resolution,[status(thm)],[18698, 18691])).
% 28.06/18.64 tff(18700,plain,
% 28.06/18.64 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB125) | (~v112(constB125)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v112(constB125)))),
% 28.06/18.64 inference(rewrite,[status(thm)],[])).
% 28.06/18.64 tff(18701,plain,
% 28.06/18.64 (((~v112(constB125)) | v108(constB125)) <=> (v108(constB125) | (~v112(constB125)))),
% 28.06/18.64 inference(rewrite,[status(thm)],[])).
% 28.06/18.64 tff(18702,plain,
% 28.06/18.64 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB125)) | v108(constB125))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB125) | (~v112(constB125))))),
% 28.06/18.64 inference(monotonicity,[status(thm)],[18701])).
% 28.06/18.64 tff(18703,plain,
% 28.06/18.64 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB125)) | v108(constB125))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v112(constB125)))),
% 28.06/18.64 inference(transitivity,[status(thm)],[18702, 18700])).
% 28.06/18.64 tff(18704,plain,
% 28.06/18.64 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB125)) | v108(constB125))),
% 28.06/18.64 inference(quant_inst,[status(thm)],[])).
% 28.06/18.64 tff(18705,plain,
% 28.06/18.64 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v112(constB125))),
% 28.06/18.64 inference(modus_ponens,[status(thm)],[18704, 18703])).
% 28.06/18.64 tff(18706,plain,
% 28.06/18.64 (~v112(constB125)),
% 28.06/18.64 inference(unit_resolution,[status(thm)],[18705, 340, 18699])).
% 28.06/18.64 tff(18707,plain,
% 28.06/18.64 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB125) | (~v26(constB125)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v26(constB125)))),
% 28.06/18.64 inference(rewrite,[status(thm)],[])).
% 28.06/18.64 tff(18708,plain,
% 28.06/18.64 (((~v26(constB125)) | v108(constB125)) <=> (v108(constB125) | (~v26(constB125)))),
% 28.06/18.64 inference(rewrite,[status(thm)],[])).
% 28.06/18.64 tff(18709,plain,
% 28.06/18.64 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB125)) | v108(constB125))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB125) | (~v26(constB125))))),
% 28.06/18.64 inference(monotonicity,[status(thm)],[18708])).
% 28.06/18.64 tff(18710,plain,
% 28.06/18.64 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB125)) | v108(constB125))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v26(constB125)))),
% 28.06/18.64 inference(transitivity,[status(thm)],[18709, 18707])).
% 28.06/18.64 tff(18711,plain,
% 28.06/18.64 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB125)) | v108(constB125))),
% 28.06/18.64 inference(quant_inst,[status(thm)],[])).
% 28.06/18.64 tff(18712,plain,
% 28.06/18.64 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v26(constB125))),
% 28.06/18.64 inference(modus_ponens,[status(thm)],[18711, 18710])).
% 28.06/18.64 tff(18713,plain,
% 28.06/18.64 (~v26(constB125)),
% 28.06/18.64 inference(unit_resolution,[status(thm)],[18712, 6750, 18699])).
% 28.06/18.64 tff(18714,plain,
% 28.06/18.64 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | (~v113(constB125)) | v112(constB125))),
% 28.06/18.64 inference(rewrite,[status(thm)],[])).
% 28.06/18.64 tff(18715,plain,
% 28.06/18.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))),
% 28.06/18.64 inference(quant_inst,[status(thm)],[])).
% 28.06/18.64 tff(18716,plain,
% 28.06/18.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | (~v113(constB125)) | v112(constB125)),
% 28.06/18.64 inference(modus_ponens,[status(thm)],[18715, 18714])).
% 28.06/18.64 tff(18717,plain,
% 28.06/18.64 (~v113(constB125)),
% 28.06/18.64 inference(unit_resolution,[status(thm)],[18716, 328, 18713, 18706])).
% 28.06/18.64 tff(18718,plain,
% 28.06/18.64 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB125)) | v113(constB125))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB125)) | v113(constB125))),
% 28.06/18.64 inference(rewrite,[status(thm)],[])).
% 28.06/18.64 tff(18719,plain,
% 28.06/18.64 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB125)) | v113(constB125))),
% 28.06/18.64 inference(quant_inst,[status(thm)],[])).
% 28.06/18.64 tff(18720,plain,
% 28.06/18.64 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB125)) | v113(constB125)),
% 28.06/18.64 inference(modus_ponens,[status(thm)],[18719, 18718])).
% 28.06/18.64 tff(18721,plain,
% 28.06/18.64 (~v114(constB125)),
% 28.06/18.64 inference(unit_resolution,[status(thm)],[18720, 314, 18717])).
% 28.06/18.64 tff(18722,plain,
% 28.06/18.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB125) | (~v115(constB125)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB125) | (~v115(constB125)))),
% 28.06/18.64 inference(rewrite,[status(thm)],[])).
% 28.06/18.64 tff(18723,plain,
% 28.06/18.64 (((~v115(constB125)) | v114(constB125)) <=> (v114(constB125) | (~v115(constB125)))),
% 28.06/18.64 inference(rewrite,[status(thm)],[])).
% 28.06/18.64 tff(18724,plain,
% 28.06/18.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB125)) | v114(constB125))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB125) | (~v115(constB125))))),
% 28.06/18.64 inference(monotonicity,[status(thm)],[18723])).
% 28.06/18.64 tff(18725,plain,
% 28.06/18.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB125)) | v114(constB125))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB125) | (~v115(constB125)))),
% 28.06/18.64 inference(transitivity,[status(thm)],[18724, 18722])).
% 28.06/18.64 tff(18726,plain,
% 28.06/18.64 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB125)) | v114(constB125))),
% 28.06/18.64 inference(quant_inst,[status(thm)],[])).
% 28.06/18.64 tff(18727,plain,
% 28.06/18.64 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB125) | (~v115(constB125))),
% 28.06/18.64 inference(modus_ponens,[status(thm)],[18726, 18725])).
% 28.06/18.64 tff(18728,plain,
% 28.06/18.64 (~v115(constB125)),
% 28.06/18.64 inference(unit_resolution,[status(thm)],[18727, 300, 18721])).
% 28.06/18.64 tff(18729,plain,
% 28.06/18.64 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB125) | (~v123(constB125)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB125) | (~v123(constB125)))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18730,plain,
% 28.12/18.64 (((~v123(constB125)) | v115(constB125)) <=> (v115(constB125) | (~v123(constB125)))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18731,plain,
% 28.12/18.64 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB125)) | v115(constB125))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB125) | (~v123(constB125))))),
% 28.12/18.64 inference(monotonicity,[status(thm)],[18730])).
% 28.12/18.64 tff(18732,plain,
% 28.12/18.64 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB125)) | v115(constB125))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB125) | (~v123(constB125)))),
% 28.12/18.64 inference(transitivity,[status(thm)],[18731, 18729])).
% 28.12/18.64 tff(18733,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB125)) | v115(constB125))),
% 28.12/18.64 inference(quant_inst,[status(thm)],[])).
% 28.12/18.64 tff(18734,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB125) | (~v123(constB125))),
% 28.12/18.64 inference(modus_ponens,[status(thm)],[18733, 18732])).
% 28.12/18.64 tff(18735,plain,
% 28.12/18.64 (~v123(constB125)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18734, 1579, 18728])).
% 28.12/18.64 tff(18736,plain,
% 28.12/18.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB125, 0)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB125, 0)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, 0))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18737,plain,
% 28.12/18.64 (((~nextState(constB125, constB126)) | (~v90(constB125, 0)) | v100(constB126) | v90(constB126, 0)) <=> ((~v90(constB125, 0)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, 0))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18738,plain,
% 28.12/18.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB125, constB126)) | (~v90(constB125, 0)) | v100(constB126) | v90(constB126, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB125, 0)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, 0)))),
% 28.12/18.64 inference(monotonicity,[status(thm)],[18737])).
% 28.12/18.64 tff(18739,plain,
% 28.12/18.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB125, constB126)) | (~v90(constB125, 0)) | v100(constB126) | v90(constB126, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB125, 0)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, 0))),
% 28.12/18.64 inference(transitivity,[status(thm)],[18738, 18736])).
% 28.12/18.64 tff(18740,plain,
% 28.12/18.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB125, constB126)) | (~v90(constB125, 0)) | v100(constB126) | v90(constB126, 0))),
% 28.12/18.64 inference(quant_inst,[status(thm)],[])).
% 28.12/18.64 tff(18741,plain,
% 28.12/18.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB125, 0)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, 0)),
% 28.12/18.64 inference(modus_ponens,[status(thm)],[18740, 18739])).
% 28.12/18.64 tff(18742,plain,
% 28.12/18.64 ((~v90(constB125, 0)) | v100(constB126) | v90(constB126, 0)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18741, 660, 17974])).
% 28.12/18.64 tff(18743,plain,
% 28.12/18.64 (~v90(constB125, 0)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18742, 18663, 18665])).
% 28.12/18.64 tff(18744,plain,
% 28.12/18.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB125, 1)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB125, 1)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, 1))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18745,plain,
% 28.12/18.64 (((~nextState(constB125, constB126)) | (~v90(constB125, 1)) | v100(constB126) | v90(constB126, 1)) <=> ((~v90(constB125, 1)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, 1))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18746,plain,
% 28.12/18.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB125, constB126)) | (~v90(constB125, 1)) | v100(constB126) | v90(constB126, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB125, 1)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, 1)))),
% 28.12/18.64 inference(monotonicity,[status(thm)],[18745])).
% 28.12/18.64 tff(18747,plain,
% 28.12/18.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB125, constB126)) | (~v90(constB125, 1)) | v100(constB126) | v90(constB126, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB125, 1)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, 1))),
% 28.12/18.64 inference(transitivity,[status(thm)],[18746, 18744])).
% 28.12/18.64 tff(18748,plain,
% 28.12/18.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB125, constB126)) | (~v90(constB125, 1)) | v100(constB126) | v90(constB126, 1))),
% 28.12/18.64 inference(quant_inst,[status(thm)],[])).
% 28.12/18.64 tff(18749,plain,
% 28.12/18.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB125, 1)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, 1)),
% 28.12/18.64 inference(modus_ponens,[status(thm)],[18748, 18747])).
% 28.12/18.64 tff(18750,plain,
% 28.12/18.64 ((~v90(constB125, 1)) | v100(constB126) | v90(constB126, 1)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18749, 903, 17974])).
% 28.12/18.64 tff(18751,plain,
% 28.12/18.64 (~v90(constB125, 1)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18750, 18663, 18664])).
% 28.12/18.64 tff(18752,assumption,(~v123(constB125)), introduced(assumption)).
% 28.12/18.64 tff(18753,plain,
% 28.12/18.64 (v90(constB125, 0) | v90(constB125, 1) | (~v90(constB125, 2))),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18322, 1565, 18752])).
% 28.12/18.64 tff(18754,plain,
% 28.12/18.64 (~v90(constB125, 2)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18753, 18751, 18743])).
% 28.12/18.64 tff(18755,assumption,(~v119(constB125)), introduced(assumption)).
% 28.12/18.64 tff(18756,plain,
% 28.12/18.64 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB125, 0) | v90(constB125, 1) | v90(constB125, 2) | v119(constB125))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB125, 0) | v90(constB125, 1) | v90(constB125, 2) | v119(constB125))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18757,plain,
% 28.12/18.64 ((v90(constB125, 0) | v119(constB125) | v90(constB125, 1) | v90(constB125, 2)) <=> (v90(constB125, 0) | v90(constB125, 1) | v90(constB125, 2) | v119(constB125))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18758,plain,
% 28.12/18.64 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB125, 0) | v119(constB125) | v90(constB125, 1) | v90(constB125, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB125, 0) | v90(constB125, 1) | v90(constB125, 2) | v119(constB125)))),
% 28.12/18.64 inference(monotonicity,[status(thm)],[18757])).
% 28.12/18.64 tff(18759,plain,
% 28.12/18.64 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB125, 0) | v119(constB125) | v90(constB125, 1) | v90(constB125, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB125, 0) | v90(constB125, 1) | v90(constB125, 2) | v119(constB125))),
% 28.12/18.64 inference(transitivity,[status(thm)],[18758, 18756])).
% 28.12/18.64 tff(18760,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB125, 0) | v119(constB125) | v90(constB125, 1) | v90(constB125, 2))),
% 28.12/18.64 inference(quant_inst,[status(thm)],[])).
% 28.12/18.64 tff(18761,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB125, 0) | v90(constB125, 1) | v90(constB125, 2) | v119(constB125)),
% 28.12/18.64 inference(modus_ponens,[status(thm)],[18760, 18759])).
% 28.12/18.64 tff(18762,plain,
% 28.12/18.64 (v90(constB125, 0) | v90(constB125, 1) | v90(constB125, 2)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18761, 233, 18755])).
% 28.12/18.64 tff(18763,plain,
% 28.12/18.64 ($false),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18762, 18754, 18751, 18743])).
% 28.12/18.64 tff(18764,plain,(v100(constB126) | v119(constB125) | v123(constB125) | v90(constB126, 1) | v90(constB126, 0)), inference(lemma,lemma(discharge,[]))).
% 28.12/18.64 tff(18765,plain,
% 28.12/18.64 (v119(constB125)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18764, 18735, 18665, 18664, 18663])).
% 28.12/18.64 tff(18766,plain,
% 28.12/18.64 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB125) | (~v119(constB125)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB125) | (~v119(constB125)))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18767,plain,
% 28.12/18.64 (((~v119(constB125)) | v118(constB125)) <=> (v118(constB125) | (~v119(constB125)))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18768,plain,
% 28.12/18.64 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB125)) | v118(constB125))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB125) | (~v119(constB125))))),
% 28.12/18.64 inference(monotonicity,[status(thm)],[18767])).
% 28.12/18.64 tff(18769,plain,
% 28.12/18.64 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB125)) | v118(constB125))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB125) | (~v119(constB125)))),
% 28.12/18.64 inference(transitivity,[status(thm)],[18768, 18766])).
% 28.12/18.64 tff(18770,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB125)) | v118(constB125))),
% 28.12/18.64 inference(quant_inst,[status(thm)],[])).
% 28.12/18.64 tff(18771,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB125) | (~v119(constB125))),
% 28.12/18.64 inference(modus_ponens,[status(thm)],[18770, 18769])).
% 28.12/18.64 tff(18772,plain,
% 28.12/18.64 (v118(constB125)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18771, 247, 18765])).
% 28.12/18.64 tff(18773,plain,
% 28.12/18.64 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB125) | (~v116(constB125)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB125) | (~v116(constB125)))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18774,plain,
% 28.12/18.64 (((~v116(constB125)) | v115(constB125)) <=> (v115(constB125) | (~v116(constB125)))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18775,plain,
% 28.12/18.64 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB125)) | v115(constB125))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB125) | (~v116(constB125))))),
% 28.12/18.64 inference(monotonicity,[status(thm)],[18774])).
% 28.12/18.64 tff(18776,plain,
% 28.12/18.64 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB125)) | v115(constB125))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB125) | (~v116(constB125)))),
% 28.12/18.64 inference(transitivity,[status(thm)],[18775, 18773])).
% 28.12/18.64 tff(18777,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB125)) | v115(constB125))),
% 28.12/18.64 inference(quant_inst,[status(thm)],[])).
% 28.12/18.64 tff(18778,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB125) | (~v116(constB125))),
% 28.12/18.64 inference(modus_ponens,[status(thm)],[18777, 18776])).
% 28.12/18.64 tff(18779,plain,
% 28.12/18.64 (~v116(constB125)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18778, 286, 18728])).
% 28.12/18.64 tff(18780,plain,
% 28.12/18.64 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB125) | (~v117(constB125)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB125) | (~v117(constB125)))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18781,plain,
% 28.12/18.64 (((~v117(constB125)) | v116(constB125)) <=> (v116(constB125) | (~v117(constB125)))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18782,plain,
% 28.12/18.64 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB125)) | v116(constB125))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB125) | (~v117(constB125))))),
% 28.12/18.64 inference(monotonicity,[status(thm)],[18781])).
% 28.12/18.64 tff(18783,plain,
% 28.12/18.64 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB125)) | v116(constB125))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB125) | (~v117(constB125)))),
% 28.12/18.64 inference(transitivity,[status(thm)],[18782, 18780])).
% 28.12/18.64 tff(18784,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB125)) | v116(constB125))),
% 28.12/18.64 inference(quant_inst,[status(thm)],[])).
% 28.12/18.64 tff(18785,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB125) | (~v117(constB125))),
% 28.12/18.64 inference(modus_ponens,[status(thm)],[18784, 18783])).
% 28.12/18.64 tff(18786,plain,
% 28.12/18.64 (~v117(constB125)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18785, 272, 18779])).
% 28.12/18.64 tff(18787,plain,
% 28.12/18.64 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB125)) | v117(constB125))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB125)) | v117(constB125))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18788,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB125)) | v117(constB125))),
% 28.12/18.64 inference(quant_inst,[status(thm)],[])).
% 28.12/18.64 tff(18789,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB125)) | v117(constB125)),
% 28.12/18.64 inference(modus_ponens,[status(thm)],[18788, 18787])).
% 28.12/18.64 tff(18790,plain,
% 28.12/18.64 ($false),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18789, 258, 18786, 18772])).
% 28.12/18.64 tff(18791,plain,(v100(constB126) | v90(constB126, 0) | v90(constB126, 1)), inference(lemma,lemma(discharge,[]))).
% 28.12/18.64 tff(18792,plain,
% 28.12/18.64 (v100(constB126)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18791, 18662, 18650])).
% 28.12/18.64 tff(18793,plain,
% 28.12/18.64 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB126, 0) | (~v129(constB126, 0)) | (~v100(constB126)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB126, 0) | (~v129(constB126, 0)) | (~v100(constB126)))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18794,plain,
% 28.12/18.64 ((v90(constB126, 0) | (~v100(constB126)) | (~v129(constB126, 0))) <=> (v90(constB126, 0) | (~v129(constB126, 0)) | (~v100(constB126)))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18795,plain,
% 28.12/18.64 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB126, 0) | (~v100(constB126)) | (~v129(constB126, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB126, 0) | (~v129(constB126, 0)) | (~v100(constB126))))),
% 28.12/18.64 inference(monotonicity,[status(thm)],[18794])).
% 28.12/18.64 tff(18796,plain,
% 28.12/18.64 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB126, 0) | (~v100(constB126)) | (~v129(constB126, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB126, 0) | (~v129(constB126, 0)) | (~v100(constB126)))),
% 28.12/18.64 inference(transitivity,[status(thm)],[18795, 18793])).
% 28.12/18.64 tff(18797,plain,
% 28.12/18.64 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB126, 0) | (~v100(constB126)) | (~v129(constB126, 0)))),
% 28.12/18.64 inference(quant_inst,[status(thm)],[])).
% 28.12/18.64 tff(18798,plain,
% 28.12/18.64 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB126, 0) | (~v129(constB126, 0)) | (~v100(constB126))),
% 28.12/18.64 inference(modus_ponens,[status(thm)],[18797, 18796])).
% 28.12/18.64 tff(18799,plain,
% 28.12/18.64 ((~v129(constB126, 0)) | (~v100(constB126))),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18798, 642, 18650])).
% 28.12/18.64 tff(18800,plain,
% 28.12/18.64 (~v129(constB126, 0)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18799, 18792])).
% 28.12/18.64 tff(18801,plain,
% 28.12/18.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB125, constB126)) | (~v127(constB125, 0)) | v129(constB126, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB125, constB126)) | (~v127(constB125, 0)) | v129(constB126, 0))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18802,plain,
% 28.12/18.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB125, constB126)) | (~v127(constB125, 0)) | v129(constB126, 0))),
% 28.12/18.64 inference(quant_inst,[status(thm)],[])).
% 28.12/18.64 tff(18803,plain,
% 28.12/18.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB125, constB126)) | (~v127(constB125, 0)) | v129(constB126, 0)),
% 28.12/18.64 inference(modus_ponens,[status(thm)],[18802, 18801])).
% 28.12/18.64 tff(18804,plain,
% 28.12/18.64 ((~v127(constB125, 0)) | v129(constB126, 0)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18803, 627, 17974])).
% 28.12/18.64 tff(18805,plain,
% 28.12/18.64 (~v127(constB125, 0)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18804, 18800])).
% 28.12/18.64 tff(18806,assumption,(v26(constB125)), introduced(assumption)).
% 28.12/18.64 tff(18807,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB125))),
% 28.12/18.64 inference(quant_inst,[status(thm)],[])).
% 28.12/18.64 tff(18808,plain,
% 28.12/18.64 ($false),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18807, 95, 18806])).
% 28.12/18.64 tff(18809,plain,(~v26(constB125)), inference(lemma,lemma(discharge,[]))).
% 28.12/18.64 tff(18810,plain,
% 28.12/18.64 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB125) | (~v130(constB125, 0)) | v127(constB125, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB125) | (~v130(constB125, 0)) | v127(constB125, 0))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18811,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB125) | (~v130(constB125, 0)) | v127(constB125, 0))),
% 28.12/18.64 inference(quant_inst,[status(thm)],[])).
% 28.12/18.64 tff(18812,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB125) | (~v130(constB125, 0)) | v127(constB125, 0)),
% 28.12/18.64 inference(modus_ponens,[status(thm)],[18811, 18810])).
% 28.12/18.64 tff(18813,plain,
% 28.12/18.64 ((~v130(constB125, 0)) | v127(constB125, 0)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18812, 612, 18809])).
% 28.12/18.64 tff(18814,plain,
% 28.12/18.64 (~v130(constB125, 0)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18813, 18805])).
% 28.12/18.64 tff(18815,plain,
% 28.12/18.64 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB125)) | v130(constB125, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB125)) | v130(constB125, 0))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18816,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB125)) | v130(constB125, 0))),
% 28.12/18.64 inference(quant_inst,[status(thm)],[])).
% 28.12/18.64 tff(18817,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB125)) | v130(constB125, 0)),
% 28.12/18.64 inference(modus_ponens,[status(thm)],[18816, 18815])).
% 28.12/18.64 tff(18818,plain,
% 28.12/18.64 (~v123(constB125)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18817, 1753, 18814])).
% 28.12/18.64 tff(18819,plain,
% 28.12/18.64 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB125)) | v130(constB125, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB125)) | v130(constB125, 0))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18820,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB125)) | v130(constB125, 0))),
% 28.12/18.64 inference(quant_inst,[status(thm)],[])).
% 28.12/18.64 tff(18821,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB125)) | v130(constB125, 0)),
% 28.12/18.64 inference(modus_ponens,[status(thm)],[18820, 18819])).
% 28.12/18.64 tff(18822,plain,
% 28.12/18.64 (~v121(constB125)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18821, 1099, 18814])).
% 28.12/18.64 tff(18823,plain,
% 28.12/18.64 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB126, 1) | (~v129(constB126, 1)) | (~v100(constB126)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB126, 1) | (~v129(constB126, 1)) | (~v100(constB126)))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18824,plain,
% 28.12/18.64 ((v90(constB126, 1) | (~v100(constB126)) | (~v129(constB126, 1))) <=> (v90(constB126, 1) | (~v129(constB126, 1)) | (~v100(constB126)))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18825,plain,
% 28.12/18.64 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB126, 1) | (~v100(constB126)) | (~v129(constB126, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB126, 1) | (~v129(constB126, 1)) | (~v100(constB126))))),
% 28.12/18.64 inference(monotonicity,[status(thm)],[18824])).
% 28.12/18.64 tff(18826,plain,
% 28.12/18.64 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB126, 1) | (~v100(constB126)) | (~v129(constB126, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB126, 1) | (~v129(constB126, 1)) | (~v100(constB126)))),
% 28.12/18.64 inference(transitivity,[status(thm)],[18825, 18823])).
% 28.12/18.64 tff(18827,plain,
% 28.12/18.64 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB126, 1) | (~v100(constB126)) | (~v129(constB126, 1)))),
% 28.12/18.64 inference(quant_inst,[status(thm)],[])).
% 28.12/18.64 tff(18828,plain,
% 28.12/18.64 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB126, 1) | (~v129(constB126, 1)) | (~v100(constB126))),
% 28.12/18.64 inference(modus_ponens,[status(thm)],[18827, 18826])).
% 28.12/18.64 tff(18829,plain,
% 28.12/18.64 (~v129(constB126, 1)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18828, 885, 18792, 18662])).
% 28.12/18.64 tff(18830,plain,
% 28.12/18.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB125, constB126)) | (~v127(constB125, 1)) | v129(constB126, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB125, constB126)) | (~v127(constB125, 1)) | v129(constB126, 1))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18831,plain,
% 28.12/18.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB125, constB126)) | (~v127(constB125, 1)) | v129(constB126, 1))),
% 28.12/18.64 inference(quant_inst,[status(thm)],[])).
% 28.12/18.64 tff(18832,plain,
% 28.12/18.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB125, constB126)) | (~v127(constB125, 1)) | v129(constB126, 1)),
% 28.12/18.64 inference(modus_ponens,[status(thm)],[18831, 18830])).
% 28.12/18.64 tff(18833,plain,
% 28.12/18.64 ((~v127(constB125, 1)) | v129(constB126, 1)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18832, 870, 17974])).
% 28.12/18.64 tff(18834,plain,
% 28.12/18.64 (~v127(constB125, 1)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18833, 18829])).
% 28.12/18.64 tff(18835,plain,
% 28.12/18.64 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB125) | (~v130(constB125, 1)) | v127(constB125, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB125) | (~v130(constB125, 1)) | v127(constB125, 1))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18836,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB125) | (~v130(constB125, 1)) | v127(constB125, 1))),
% 28.12/18.64 inference(quant_inst,[status(thm)],[])).
% 28.12/18.64 tff(18837,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB125) | (~v130(constB125, 1)) | v127(constB125, 1)),
% 28.12/18.64 inference(modus_ponens,[status(thm)],[18836, 18835])).
% 28.12/18.64 tff(18838,plain,
% 28.12/18.64 ((~v130(constB125, 1)) | v127(constB125, 1)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18837, 855, 18809])).
% 28.12/18.64 tff(18839,plain,
% 28.12/18.64 (~v130(constB125, 1)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18838, 18834])).
% 28.12/18.64 tff(18840,plain,
% 28.12/18.64 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB125)) | v130(constB125, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB125)) | v130(constB125, 1))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18841,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB125)) | v130(constB125, 1))),
% 28.12/18.64 inference(quant_inst,[status(thm)],[])).
% 28.12/18.64 tff(18842,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB125)) | v130(constB125, 1)),
% 28.12/18.64 inference(modus_ponens,[status(thm)],[18841, 18840])).
% 28.12/18.64 tff(18843,plain,
% 28.12/18.64 (~v124(constB125)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18842, 1929, 18839])).
% 28.12/18.64 tff(18844,plain,
% 28.12/18.64 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB125)) | v130(constB125, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB125)) | v130(constB125, 0))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18845,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB125)) | v130(constB125, 0))),
% 28.12/18.64 inference(quant_inst,[status(thm)],[])).
% 28.12/18.64 tff(18846,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB125)) | v130(constB125, 0)),
% 28.12/18.64 inference(modus_ponens,[status(thm)],[18845, 18844])).
% 28.12/18.64 tff(18847,plain,
% 28.12/18.64 (~v119(constB125)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18846, 598, 18814])).
% 28.12/18.64 tff(18848,plain,
% 28.12/18.64 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB125)) | v130(constB125, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB125)) | v130(constB125, 1))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18849,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB125)) | v130(constB125, 1))),
% 28.12/18.64 inference(quant_inst,[status(thm)],[])).
% 28.12/18.64 tff(18850,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB125)) | v130(constB125, 1)),
% 28.12/18.64 inference(modus_ponens,[status(thm)],[18849, 18848])).
% 28.12/18.64 tff(18851,plain,
% 28.12/18.64 (~v120(constB125)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18850, 841, 18839])).
% 28.12/18.64 tff(18852,assumption,(~v123(constB127)), introduced(assumption)).
% 28.12/18.64 tff(18853,plain,
% 28.12/18.64 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB127, 0) | v90(constB127, 1) | (~v90(constB127, 2)) | v123(constB127))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB127, 0) | v90(constB127, 1) | (~v90(constB127, 2)) | v123(constB127))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18854,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB127, 0) | v90(constB127, 1) | (~v90(constB127, 2)) | v123(constB127))),
% 28.12/18.64 inference(quant_inst,[status(thm)],[])).
% 28.12/18.64 tff(18855,plain,
% 28.12/18.64 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB127, 0) | v90(constB127, 1) | (~v90(constB127, 2)) | v123(constB127)),
% 28.12/18.64 inference(modus_ponens,[status(thm)],[18854, 18853])).
% 28.12/18.64 tff(18856,plain,
% 28.12/18.64 (v90(constB127, 0) | v90(constB127, 1) | (~v90(constB127, 2))),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18855, 1565, 18852])).
% 28.12/18.64 tff(18857,plain,
% 28.12/18.64 (~v90(constB127, 2)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18856, 18653, 18506])).
% 28.12/18.64 tff(18858,plain,
% 28.12/18.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB126, 2)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB126, 2)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 2))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18859,plain,
% 28.12/18.64 (((~nextState(constB126, constB127)) | (~v90(constB126, 2)) | v100(constB127) | v90(constB127, 2)) <=> ((~v90(constB126, 2)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 2))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18860,plain,
% 28.12/18.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB126, constB127)) | (~v90(constB126, 2)) | v100(constB127) | v90(constB127, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB126, 2)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 2)))),
% 28.12/18.64 inference(monotonicity,[status(thm)],[18859])).
% 28.12/18.64 tff(18861,plain,
% 28.12/18.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB126, constB127)) | (~v90(constB126, 2)) | v100(constB127) | v90(constB127, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB126, 2)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 2))),
% 28.12/18.64 inference(transitivity,[status(thm)],[18860, 18858])).
% 28.12/18.64 tff(18862,plain,
% 28.12/18.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB126, constB127)) | (~v90(constB126, 2)) | v100(constB127) | v90(constB127, 2))),
% 28.12/18.64 inference(quant_inst,[status(thm)],[])).
% 28.12/18.64 tff(18863,plain,
% 28.12/18.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB126, 2)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 2)),
% 28.12/18.64 inference(modus_ponens,[status(thm)],[18862, 18861])).
% 28.12/18.64 tff(18864,plain,
% 28.12/18.64 ((~v90(constB126, 2)) | v100(constB127) | v90(constB127, 2)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18863, 1546, 17914])).
% 28.12/18.64 tff(18865,plain,
% 28.12/18.64 ((~v90(constB126, 2)) | v90(constB127, 2)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18864, 17926])).
% 28.12/18.64 tff(18866,plain,
% 28.12/18.64 (~v90(constB126, 2)),
% 28.12/18.64 inference(unit_resolution,[status(thm)],[18865, 18857])).
% 28.12/18.64 tff(18867,plain,
% 28.12/18.64 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB126, 2) | (~v129(constB126, 2)) | (~v100(constB126)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB126, 2) | (~v129(constB126, 2)) | (~v100(constB126)))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18868,plain,
% 28.12/18.64 ((v90(constB126, 2) | (~v100(constB126)) | (~v129(constB126, 2))) <=> (v90(constB126, 2) | (~v129(constB126, 2)) | (~v100(constB126)))),
% 28.12/18.64 inference(rewrite,[status(thm)],[])).
% 28.12/18.64 tff(18869,plain,
% 28.12/18.64 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB126, 2) | (~v100(constB126)) | (~v129(constB126, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB126, 2) | (~v129(constB126, 2)) | (~v100(constB126))))),
% 28.12/18.64 inference(monotonicity,[status(thm)],[18868])).
% 28.12/18.64 tff(18870,plain,
% 28.12/18.64 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB126, 2) | (~v100(constB126)) | (~v129(constB126, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB126, 2) | (~v129(constB126, 2)) | (~v100(constB126)))),
% 28.12/18.65 inference(transitivity,[status(thm)],[18869, 18867])).
% 28.12/18.65 tff(18871,plain,
% 28.12/18.65 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB126, 2) | (~v100(constB126)) | (~v129(constB126, 2)))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(18872,plain,
% 28.12/18.65 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB126, 2) | (~v129(constB126, 2)) | (~v100(constB126))),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[18871, 18870])).
% 28.12/18.65 tff(18873,plain,
% 28.12/18.65 (~v129(constB126, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18872, 1528, 18792, 18866])).
% 28.12/18.65 tff(18874,plain,
% 28.12/18.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB125, constB126)) | (~v127(constB125, 2)) | v129(constB126, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB125, constB126)) | (~v127(constB125, 2)) | v129(constB126, 2))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(18875,plain,
% 28.12/18.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB125, constB126)) | (~v127(constB125, 2)) | v129(constB126, 2))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(18876,plain,
% 28.12/18.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB125, constB126)) | (~v127(constB125, 2)) | v129(constB126, 2)),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[18875, 18874])).
% 28.12/18.65 tff(18877,plain,
% 28.12/18.65 ((~v127(constB125, 2)) | v129(constB126, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18876, 1513, 17974])).
% 28.12/18.65 tff(18878,plain,
% 28.12/18.65 (~v127(constB125, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18877, 18873])).
% 28.12/18.65 tff(18879,plain,
% 28.12/18.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB125) | (~v130(constB125, 2)) | v127(constB125, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB125) | (~v130(constB125, 2)) | v127(constB125, 2))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(18880,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB125) | (~v130(constB125, 2)) | v127(constB125, 2))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(18881,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB125) | (~v130(constB125, 2)) | v127(constB125, 2)),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[18880, 18879])).
% 28.12/18.65 tff(18882,plain,
% 28.12/18.65 ((~v130(constB125, 2)) | v127(constB125, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18881, 1498, 18809])).
% 28.12/18.65 tff(18883,plain,
% 28.12/18.65 (~v130(constB125, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18882, 18878])).
% 28.12/18.65 tff(18884,plain,
% 28.12/18.65 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB125)) | v130(constB125, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB125)) | v130(constB125, 2))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(18885,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB125)) | v130(constB125, 2))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(18886,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB125)) | v130(constB125, 2)),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[18885, 18884])).
% 28.12/18.65 tff(18887,plain,
% 28.12/18.65 (~v122(constB125)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18886, 1484, 18883])).
% 28.12/18.65 tff(18888,plain,
% 28.12/18.65 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | v130(constB125, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | v130(constB125, 0))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(18889,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | v130(constB125, 0))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(18890,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | v130(constB125, 0)),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[18889, 18888])).
% 28.12/18.65 tff(18891,plain,
% 28.12/18.65 (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18890, 2258, 18814])).
% 28.12/18.65 tff(18892,plain,
% 28.12/18.65 ($false),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18891, 18887, 18851, 18822, 18847, 18818, 18843])).
% 28.12/18.65 tff(18893,plain,(v90(constB127, 1) | v90(constB127, 0) | v123(constB127)), inference(lemma,lemma(discharge,[]))).
% 28.12/18.65 tff(18894,plain,
% 28.12/18.65 (v123(constB127)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18893, 18653, 18506])).
% 28.12/18.65 tff(18895,plain,
% 28.12/18.65 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB127)) | v90(constB127, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB127)) | v90(constB127, 2))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(18896,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB127)) | v90(constB127, 2))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(18897,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB127)) | v90(constB127, 2)),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[18896, 18895])).
% 28.12/18.65 tff(18898,plain,
% 28.12/18.65 (v90(constB127, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18897, 3999, 18894])).
% 28.12/18.65 tff(18899,plain,
% 28.12/18.65 (v90(constB126, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[17969, 18898])).
% 28.12/18.65 tff(18900,plain,
% 28.12/18.65 ((~v90(constB126, 2)) | v129(constB126, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18051, 488, 18792])).
% 28.12/18.65 tff(18901,plain,
% 28.12/18.65 (v129(constB126, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18900, 18899])).
% 28.12/18.65 tff(18902,plain,
% 28.12/18.65 (v127(constB125, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18057, 18901])).
% 28.12/18.65 tff(18903,plain,
% 28.12/18.65 ((~v127(constB125, 2)) | v130(constB125, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18064, 455, 18809])).
% 28.12/18.65 tff(18904,plain,
% 28.12/18.65 (v130(constB125, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18903, 18902])).
% 28.12/18.65 tff(18905,assumption,(~v121(constB125)), introduced(assumption)).
% 28.12/18.65 tff(18906,plain,
% 28.12/18.65 (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v130(constB125, 0)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18890, 2258, 18752, 18651])).
% 28.12/18.65 tff(18907,plain,
% 28.12/18.65 (v120(constB125)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18906, 18847, 18905, 18652, 18814])).
% 28.12/18.65 tff(18908,plain,
% 28.12/18.65 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB125)) | (~v130(constB125, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB125)) | (~v130(constB125, 2)))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(18909,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB125)) | (~v130(constB125, 2)))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(18910,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB125)) | (~v130(constB125, 2))),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[18909, 18908])).
% 28.12/18.65 tff(18911,plain,
% 28.12/18.65 ($false),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18910, 785, 18907, 18904])).
% 28.12/18.65 tff(18912,plain,(v90(constB127, 1) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | v90(constB127, 0)), inference(lemma,lemma(discharge,[]))).
% 28.12/18.65 tff(18913,plain,
% 28.12/18.65 ($false),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18912, 18822, 18818, 18651, 18652, 18506, 18653])).
% 28.12/18.65 tff(18914,plain,(v90(constB127, 1) | v124(constB125) | v122(constB125) | v90(constB127, 0)), inference(lemma,lemma(discharge,[]))).
% 28.12/18.65 tff(18915,plain,
% 28.12/18.65 (v90(constB127, 1)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18914, 18506, 18652, 18651])).
% 28.12/18.65 tff(18916,plain,
% 28.12/18.65 (v90(constB126, 1)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[17934, 18915])).
% 28.12/18.65 tff(18917,plain,
% 28.12/18.65 (v90(constB125, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[17981, 18663, 17971])).
% 28.12/18.65 tff(18918,plain,
% 28.12/18.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB125, 1) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB125, 1) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, 1)))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(18919,plain,
% 28.12/18.65 (((~nextState(constB125, constB126)) | v90(constB125, 1) | v100(constB126) | (~v90(constB126, 1))) <=> (v90(constB125, 1) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, 1)))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(18920,plain,
% 28.12/18.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB125, constB126)) | v90(constB125, 1) | v100(constB126) | (~v90(constB126, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB125, 1) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, 1))))),
% 28.12/18.65 inference(monotonicity,[status(thm)],[18919])).
% 28.12/18.65 tff(18921,plain,
% 28.12/18.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB125, constB126)) | v90(constB125, 1) | v100(constB126) | (~v90(constB126, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB125, 1) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, 1)))),
% 28.12/18.65 inference(transitivity,[status(thm)],[18920, 18918])).
% 28.12/18.65 tff(18922,plain,
% 28.12/18.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB125, constB126)) | v90(constB125, 1) | v100(constB126) | (~v90(constB126, 1)))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(18923,plain,
% 28.12/18.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB125, 1) | (~nextState(constB125, constB126)) | v100(constB126) | (~v90(constB126, 1))),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[18922, 18921])).
% 28.12/18.65 tff(18924,plain,
% 28.12/18.65 (v90(constB125, 1) | v100(constB126) | (~v90(constB126, 1))),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18923, 191, 17974])).
% 28.12/18.65 tff(18925,plain,
% 28.12/18.65 (v90(constB125, 1)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18924, 18663, 18001])).
% 28.12/18.65 tff(18926,plain,
% 28.12/18.65 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB125, 0) | (~v90(constB125, 1)) | (~v90(constB125, 2)) | v125(constB125))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB125, 0) | (~v90(constB125, 1)) | (~v90(constB125, 2)) | v125(constB125))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(18927,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB125, 0) | (~v90(constB125, 1)) | (~v90(constB125, 2)) | v125(constB125))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(18928,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB125, 0) | (~v90(constB125, 1)) | (~v90(constB125, 2)) | v125(constB125)),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[18927, 18926])).
% 28.12/18.65 tff(18929,plain,
% 28.12/18.65 (v125(constB125)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18928, 2011, 18743, 18925, 18917])).
% 28.12/18.65 tff(18930,plain,
% 28.12/18.65 ((~v113(constB125)) | v112(constB125)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18716, 328, 18809])).
% 28.12/18.65 tff(18931,plain,
% 28.12/18.65 (~v113(constB125)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18930, 18706])).
% 28.12/18.65 tff(18932,plain,
% 28.12/18.65 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB125)) | v113(constB125))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB125)) | v113(constB125))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(18933,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB125)) | v113(constB125))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(18934,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB125)) | v113(constB125)),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[18933, 18932])).
% 28.12/18.65 tff(18935,plain,
% 28.12/18.65 ($false),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18934, 2022, 18931, 18929])).
% 28.12/18.65 tff(18936,plain,(v100(constB126) | v90(constB126, 0) | (~v90(constB126, 1)) | (~v90(constB126, 2))), inference(lemma,lemma(discharge,[]))).
% 28.12/18.65 tff(18937,plain,
% 28.12/18.65 (~v90(constB126, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18936, 18663, 18665, 18001])).
% 28.12/18.65 tff(18938,plain,
% 28.12/18.65 (~v114(constB125)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18720, 314, 18931])).
% 28.12/18.65 tff(18939,plain,
% 28.12/18.65 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB125, 0) | (~v90(constB125, 1)) | v90(constB125, 2) | v121(constB125))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB125, 0) | (~v90(constB125, 1)) | v90(constB125, 2) | v121(constB125))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(18940,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB125, 0) | (~v90(constB125, 1)) | v90(constB125, 2) | v121(constB125))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(18941,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB125, 0) | (~v90(constB125, 1)) | v90(constB125, 2) | v121(constB125)),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[18940, 18939])).
% 28.12/18.65 tff(18942,plain,
% 28.12/18.65 (v90(constB125, 0) | (~v90(constB125, 1)) | v121(constB125)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18941, 993, 17936])).
% 28.12/18.65 tff(18943,plain,
% 28.12/18.65 (v121(constB125)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18942, 18743, 18925])).
% 28.12/18.65 tff(18944,plain,
% 28.12/18.65 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB125) | (~v121(constB125)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB125) | (~v121(constB125)))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(18945,plain,
% 28.12/18.65 (((~v121(constB125)) | v117(constB125)) <=> (v117(constB125) | (~v121(constB125)))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(18946,plain,
% 28.12/18.65 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB125)) | v117(constB125))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB125) | (~v121(constB125))))),
% 28.12/18.65 inference(monotonicity,[status(thm)],[18945])).
% 28.12/18.65 tff(18947,plain,
% 28.12/18.65 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB125)) | v117(constB125))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB125) | (~v121(constB125)))),
% 28.12/18.65 inference(transitivity,[status(thm)],[18946, 18944])).
% 28.12/18.65 tff(18948,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB125)) | v117(constB125))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(18949,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB125) | (~v121(constB125))),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[18948, 18947])).
% 28.12/18.65 tff(18950,plain,
% 28.12/18.65 (v117(constB125)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18949, 1004, 18943])).
% 28.12/18.65 tff(18951,plain,
% 28.12/18.65 (v116(constB125)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18785, 272, 18950])).
% 28.12/18.65 tff(18952,plain,
% 28.12/18.65 (v115(constB125)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18778, 286, 18951])).
% 28.12/18.65 tff(18953,plain,
% 28.12/18.65 ($false),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18727, 300, 18952, 18938])).
% 28.12/18.65 tff(18954,plain,(v100(constB126) | v90(constB125, 2) | v90(constB126, 0) | (~v90(constB126, 1))), inference(lemma,lemma(discharge,[]))).
% 28.12/18.65 tff(18955,plain,
% 28.12/18.65 (v90(constB125, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18954, 18663, 18001, 18665])).
% 28.12/18.65 tff(18956,plain,
% 28.12/18.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB125, 2)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB125, 2)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, 2))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(18957,plain,
% 28.12/18.65 (((~nextState(constB125, constB126)) | (~v90(constB125, 2)) | v100(constB126) | v90(constB126, 2)) <=> ((~v90(constB125, 2)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, 2))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(18958,plain,
% 28.12/18.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB125, constB126)) | (~v90(constB125, 2)) | v100(constB126) | v90(constB126, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB125, 2)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, 2)))),
% 28.12/18.65 inference(monotonicity,[status(thm)],[18957])).
% 28.12/18.65 tff(18959,plain,
% 28.12/18.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB125, constB126)) | (~v90(constB125, 2)) | v100(constB126) | v90(constB126, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB125, 2)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, 2))),
% 28.12/18.65 inference(transitivity,[status(thm)],[18958, 18956])).
% 28.12/18.65 tff(18960,plain,
% 28.12/18.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB125, constB126)) | (~v90(constB125, 2)) | v100(constB126) | v90(constB126, 2))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(18961,plain,
% 28.12/18.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB125, 2)) | (~nextState(constB125, constB126)) | v100(constB126) | v90(constB126, 2)),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[18960, 18959])).
% 28.12/18.65 tff(18962,plain,
% 28.12/18.65 ((~v90(constB125, 2)) | v100(constB126) | v90(constB126, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18961, 1546, 17974])).
% 28.12/18.65 tff(18963,plain,
% 28.12/18.65 ($false),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18962, 18955, 18663, 18937])).
% 28.12/18.65 tff(18964,plain,(v100(constB126) | (~v90(constB126, 1)) | v90(constB126, 0)), inference(lemma,lemma(discharge,[]))).
% 28.12/18.65 tff(18965,plain,
% 28.12/18.65 (v100(constB126)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18964, 18916, 18650])).
% 28.12/18.65 tff(18966,plain,
% 28.12/18.65 (~v129(constB126, 0)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18799, 18965])).
% 28.12/18.65 tff(18967,plain,
% 28.12/18.65 (~v127(constB125, 0)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18804, 18966])).
% 28.12/18.65 tff(18968,plain,
% 28.12/18.65 (~v130(constB125, 0)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18813, 18967])).
% 28.12/18.65 tff(18969,plain,
% 28.12/18.65 (v129(constB126, 1) | (~v100(constB126))),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18007, 574, 18916])).
% 28.12/18.65 tff(18970,plain,
% 28.12/18.65 (v129(constB126, 1)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18969, 18965])).
% 28.12/18.65 tff(18971,plain,
% 28.12/18.65 (v127(constB125, 1)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18013, 18970])).
% 28.12/18.65 tff(18972,plain,
% 28.12/18.65 ((~v127(constB125, 1)) | v130(constB125, 1)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18020, 541, 18809])).
% 28.12/18.65 tff(18973,plain,
% 28.12/18.65 (v130(constB125, 1)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18972, 18971])).
% 28.12/18.65 tff(18974,plain,
% 28.12/18.65 (~v123(constB125)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18327, 1712, 18973])).
% 28.12/18.65 tff(18975,plain,
% 28.12/18.65 (~v119(constB125)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18024, 527, 18973])).
% 28.12/18.65 tff(18976,plain,
% 28.12/18.65 (~v121(constB125)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18821, 1099, 18968])).
% 28.12/18.65 tff(18977,assumption,(~v120(constB125)), introduced(assumption)).
% 28.12/18.65 tff(18978,plain,
% 28.12/18.65 (v119(constB125) | v121(constB125) | v123(constB125) | v130(constB125, 0)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18890, 2258, 18652, 18977, 18651])).
% 28.12/18.65 tff(18979,plain,
% 28.12/18.65 ($false),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18978, 18976, 18975, 18974, 18968])).
% 28.12/18.65 tff(18980,plain,(v90(constB127, 0) | v122(constB125) | v120(constB125) | v124(constB125)), inference(lemma,lemma(discharge,[]))).
% 28.12/18.65 tff(18981,plain,
% 28.12/18.65 (v120(constB125)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18980, 18641, 18506, 18505])).
% 28.12/18.65 tff(18982,plain,
% 28.12/18.65 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB125)) | v90(constB125, 0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB125)) | v90(constB125, 0))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(18983,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB125)) | v90(constB125, 0))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(18984,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB125)) | v90(constB125, 0)),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[18983, 18982])).
% 28.12/18.65 tff(18985,plain,
% 28.12/18.65 (v90(constB125, 0)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18984, 5047, 18981])).
% 28.12/18.65 tff(18986,plain,
% 28.12/18.65 (v90(constB124, 0)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18270, 18985])).
% 28.12/18.65 tff(18987,plain,
% 28.12/18.65 (v116(constB123)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18416, 18335])).
% 28.12/18.65 tff(18988,plain,
% 28.12/18.65 (v115(constB123)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18423, 286, 18987])).
% 28.12/18.65 tff(18989,plain,
% 28.12/18.65 (v114(constB123)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18430, 300, 18988])).
% 28.12/18.65 tff(18990,plain,
% 28.12/18.65 (v113(constB123)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18434, 314, 18989])).
% 28.12/18.65 tff(18991,plain,
% 28.12/18.65 (v108(constB123)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18460, 18990])).
% 28.12/18.65 tff(18992,plain,
% 28.12/18.65 (v110(constB124)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18468, 18991])).
% 28.12/18.65 tff(18993,plain,
% 28.12/18.65 (v100(constB124)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18494, 18992])).
% 28.12/18.65 tff(18994,plain,
% 28.12/18.65 ((~v90(constB124, 0)) | v129(constB124, 0)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18260, 966, 18993])).
% 28.12/18.65 tff(18995,plain,
% 28.12/18.65 (v129(constB124, 0)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18994, 18986])).
% 28.12/18.65 tff(18996,plain,
% 28.12/18.65 (v127(constB123, 0)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18252, 18995])).
% 28.12/18.65 tff(18997,plain,
% 28.12/18.65 (~v130(constB123, 0)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18636, 919, 18633])).
% 28.12/18.65 tff(18998,plain,
% 28.12/18.65 ((~v127(constB123, 0)) | v26(constB123)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18246, 933, 18997])).
% 28.12/18.65 tff(18999,plain,
% 28.12/18.65 (v26(constB123)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18998, 18996])).
% 28.12/18.65 tff(19000,plain,
% 28.12/18.65 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB123)) | (~v127(constB123, 0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB123)) | (~v127(constB123, 0)))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(19001,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB123)) | (~v127(constB123, 0)))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(19002,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB123)) | (~v127(constB123, 0))),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[19001, 19000])).
% 28.12/18.65 tff(19003,plain,
% 28.12/18.65 ($false),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19002, 1370, 18996, 18999])).
% 28.12/18.65 tff(19004,plain,((~v124(constB119)) | v90(constB127, 0)), inference(lemma,lemma(discharge,[]))).
% 28.12/18.65 tff(19005,plain,
% 28.12/18.65 (v90(constB127, 0)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19004, 15966])).
% 28.12/18.65 tff(19006,plain,
% 28.12/18.65 (v90(constB126, 0)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[17952, 19005])).
% 28.12/18.65 tff(19007,plain,
% 28.12/18.65 (v114(constB119)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[15974, 1805, 15966])).
% 28.12/18.65 tff(19008,plain,
% 28.12/18.65 (v113(constB119)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[15981, 314, 19007])).
% 28.12/18.65 tff(19009,plain,
% 28.12/18.65 (v112(constB119)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[15990, 19008])).
% 28.12/18.65 tff(19010,plain,
% 28.12/18.65 (v108(constB119)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[15997, 340, 19009])).
% 28.12/18.65 tff(19011,plain,
% 28.12/18.65 (v110(constB120)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[16008, 19010])).
% 28.12/18.65 tff(19012,plain,
% 28.12/18.65 (v100(constB120)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[16034, 19011])).
% 28.12/18.65 tff(19013,plain,
% 28.12/18.65 (v130(constB119, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[16461, 1873, 15966])).
% 28.12/18.65 tff(19014,plain,
% 28.12/18.65 (v127(constB119, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[16380, 19013])).
% 28.12/18.65 tff(19015,plain,
% 28.12/18.65 (v129(constB120, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[16385, 19014])).
% 28.12/18.65 tff(19016,plain,
% 28.12/18.65 (v90(constB120, 2) | (~v100(constB120))),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[16392, 1528, 19015])).
% 28.12/18.65 tff(19017,plain,
% 28.12/18.65 (v90(constB120, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19016, 19012])).
% 28.12/18.65 tff(19018,plain,
% 28.12/18.65 (v90(constB121, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[16402, 19017])).
% 28.12/18.65 tff(19019,plain,
% 28.12/18.65 (~v121(constB121)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[16470, 2130, 19018])).
% 28.12/18.65 tff(19020,plain,
% 28.12/18.65 (v130(constB119, 1)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[16482, 1929, 15966])).
% 28.12/18.65 tff(19021,plain,
% 28.12/18.65 (v127(constB119, 1)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[16280, 19020])).
% 28.12/18.65 tff(19022,plain,
% 28.12/18.65 (v129(constB120, 1)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[16285, 19021])).
% 28.12/18.65 tff(19023,plain,
% 28.12/18.65 (v90(constB120, 1) | (~v100(constB120))),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[16292, 885, 19022])).
% 28.12/18.65 tff(19024,plain,
% 28.12/18.65 (v90(constB120, 1)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19023, 19012])).
% 28.12/18.65 tff(19025,plain,
% 28.12/18.65 (v90(constB121, 1)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[16302, 19024])).
% 28.12/18.65 tff(19026,plain,
% 28.12/18.65 (~v119(constB121)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[16491, 2086, 19025])).
% 28.12/18.65 tff(19027,plain,
% 28.12/18.65 (~v124(constB121)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18533, 2097, 19025])).
% 28.12/18.65 tff(19028,plain,
% 28.12/18.65 (~v120(constB121)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18529, 2141, 19025])).
% 28.12/18.65 tff(19029,plain,
% 28.12/18.65 (~v124(constB123)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18130, 4010, 16610])).
% 28.12/18.65 tff(19030,assumption,(v123(constB121)), introduced(assumption)).
% 28.12/18.65 tff(19031,plain,
% 28.12/18.65 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB121)) | v115(constB121))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB121)) | v115(constB121))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(19032,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB121)) | v115(constB121))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(19033,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB121)) | v115(constB121)),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[19032, 19031])).
% 28.12/18.65 tff(19034,plain,
% 28.12/18.65 (v115(constB121)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19033, 1579, 19030])).
% 28.12/18.65 tff(19035,plain,
% 28.12/18.65 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB121)) | v114(constB121))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB121)) | v114(constB121))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(19036,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB121)) | v114(constB121))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(19037,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB121)) | v114(constB121)),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[19036, 19035])).
% 28.12/18.65 tff(19038,plain,
% 28.12/18.65 (v114(constB121)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19037, 300, 19034])).
% 28.12/18.65 tff(19039,plain,
% 28.12/18.65 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB121)) | v113(constB121))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB121)) | v113(constB121))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(19040,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB121)) | v113(constB121))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(19041,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB121)) | v113(constB121)),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[19040, 19039])).
% 28.12/18.65 tff(19042,plain,
% 28.12/18.65 (v113(constB121)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19041, 314, 19038])).
% 28.12/18.65 tff(19043,plain,
% 28.12/18.65 (v108(constB121)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[16533, 19042])).
% 28.12/18.65 tff(19044,plain,
% 28.12/18.65 (v110(constB122)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[16541, 19043])).
% 28.12/18.65 tff(19045,plain,
% 28.12/18.65 (v100(constB122)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[16567, 19044])).
% 28.12/18.65 tff(19046,plain,
% 28.12/18.65 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB121)) | v130(constB121, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB121)) | v130(constB121, 0))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(19047,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB121)) | v130(constB121, 0))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(19048,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB121)) | v130(constB121, 0)),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[19047, 19046])).
% 28.12/18.65 tff(19049,plain,
% 28.12/18.65 (v130(constB121, 0)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19048, 1753, 19030])).
% 28.12/18.65 tff(19050,plain,
% 28.12/18.65 (v127(constB121, 0)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18608, 19049])).
% 28.12/18.65 tff(19051,plain,
% 28.12/18.65 (v129(constB122, 0)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18613, 19050])).
% 28.12/18.65 tff(19052,plain,
% 28.12/18.65 (v90(constB122, 0) | (~v100(constB122))),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18620, 642, 19051])).
% 28.12/18.65 tff(19053,plain,
% 28.12/18.65 (v90(constB122, 0)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19052, 19045])).
% 28.12/18.65 tff(19054,plain,
% 28.12/18.65 (v90(constB123, 0)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18630, 19053])).
% 28.12/18.65 tff(19055,plain,
% 28.12/18.65 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB121)) | (~v130(constB121, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB121)) | (~v130(constB121, 1)))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(19056,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB121)) | (~v130(constB121, 1)))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(19057,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB121)) | (~v130(constB121, 1))),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[19056, 19055])).
% 28.12/18.65 tff(19058,plain,
% 28.12/18.65 (~v130(constB121, 1)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19057, 1712, 19030])).
% 28.12/18.65 tff(19059,plain,
% 28.12/18.65 (~v127(constB121, 1)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18549, 19058])).
% 28.12/18.65 tff(19060,plain,
% 28.12/18.65 (~v129(constB122, 1)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18554, 19059])).
% 28.12/18.65 tff(19061,plain,
% 28.12/18.65 ((~v90(constB122, 1)) | (~v100(constB122))),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18569, 574, 19060])).
% 28.12/18.65 tff(19062,plain,
% 28.12/18.65 (~v90(constB122, 1)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19061, 19045])).
% 28.12/18.65 tff(19063,plain,
% 28.12/18.65 (~v90(constB123, 1)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18579, 19062])).
% 28.12/18.65 tff(19064,assumption,(v90(constB123, 2)), introduced(assumption)).
% 28.12/18.65 tff(19065,plain,
% 28.12/18.65 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB123, 0)) | v90(constB123, 1) | (~v90(constB123, 2)) | v124(constB123))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB123, 0)) | v90(constB123, 1) | (~v90(constB123, 2)) | v124(constB123))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(19066,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB123, 0)) | v90(constB123, 1) | (~v90(constB123, 2)) | v124(constB123))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(19067,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB123, 0)) | v90(constB123, 1) | (~v90(constB123, 2)) | v124(constB123)),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[19066, 19065])).
% 28.12/18.65 tff(19068,plain,
% 28.12/18.65 ((~v90(constB123, 0)) | v90(constB123, 1) | v124(constB123)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19067, 1794, 19064])).
% 28.12/18.65 tff(19069,plain,
% 28.12/18.65 ($false),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19068, 19063, 19054, 18227])).
% 28.12/18.65 tff(19070,plain,((~v123(constB121)) | v124(constB123) | (~v90(constB123, 2))), inference(lemma,lemma(discharge,[]))).
% 28.12/18.65 tff(19071,plain,
% 28.12/18.65 (~v90(constB123, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19070, 19030, 18227])).
% 28.12/18.65 tff(19072,plain,
% 28.12/18.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB122, 2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB122, 2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 2))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(19073,plain,
% 28.12/18.65 (((~nextState(constB122, constB123)) | (~v90(constB122, 2)) | v100(constB123) | v90(constB123, 2)) <=> ((~v90(constB122, 2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 2))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(19074,plain,
% 28.12/18.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB122, constB123)) | (~v90(constB122, 2)) | v100(constB123) | v90(constB123, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB122, 2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 2)))),
% 28.12/18.65 inference(monotonicity,[status(thm)],[19073])).
% 28.12/18.65 tff(19075,plain,
% 28.12/18.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB122, constB123)) | (~v90(constB122, 2)) | v100(constB123) | v90(constB123, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB122, 2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 2))),
% 28.12/18.65 inference(transitivity,[status(thm)],[19074, 19072])).
% 28.12/18.65 tff(19076,plain,
% 28.12/18.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB122, constB123)) | (~v90(constB122, 2)) | v100(constB123) | v90(constB123, 2))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(19077,plain,
% 28.12/18.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB122, 2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 2)),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[19076, 19075])).
% 28.12/18.65 tff(19078,plain,
% 28.12/18.65 ((~v90(constB122, 2)) | v100(constB123) | v90(constB123, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19077, 1546, 16589])).
% 28.12/18.65 tff(19079,plain,
% 28.12/18.65 ((~v90(constB122, 2)) | v90(constB123, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19078, 16601])).
% 28.12/18.65 tff(19080,plain,
% 28.12/18.65 (~v90(constB122, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19079, 19071])).
% 28.12/18.65 tff(19081,plain,
% 28.12/18.65 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB121)) | v90(constB121, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB121)) | v90(constB121, 2))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(19082,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB121)) | v90(constB121, 2))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(19083,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB121)) | v90(constB121, 2)),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[19082, 19081])).
% 28.12/18.65 tff(19084,plain,
% 28.12/18.65 (v90(constB121, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19083, 3999, 19030])).
% 28.12/18.65 tff(19085,plain,
% 28.12/18.65 (v100(constB122)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18562, 19084, 19080])).
% 28.12/18.65 tff(19086,plain,
% 28.12/18.65 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB121)) | v130(constB121, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB121)) | v130(constB121, 2))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(19087,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB121)) | v130(constB121, 2))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(19088,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB121)) | v130(constB121, 2)),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[19087, 19086])).
% 28.12/18.65 tff(19089,plain,
% 28.12/18.65 (v130(constB121, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19088, 1656, 19030])).
% 28.12/18.65 tff(19090,plain,
% 28.12/18.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB121) | (~v130(constB121, 2)) | v127(constB121, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB121) | (~v130(constB121, 2)) | v127(constB121, 2))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(19091,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB121) | (~v130(constB121, 2)) | v127(constB121, 2))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(19092,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB121) | (~v130(constB121, 2)) | v127(constB121, 2)),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[19091, 19090])).
% 28.12/18.65 tff(19093,plain,
% 28.12/18.65 ((~v130(constB121, 2)) | v127(constB121, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19092, 1498, 16341])).
% 28.12/18.65 tff(19094,plain,
% 28.12/18.65 (v127(constB121, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19093, 19089])).
% 28.12/18.65 tff(19095,plain,
% 28.12/18.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB121, constB122)) | (~v127(constB121, 2)) | v129(constB122, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB121, constB122)) | (~v127(constB121, 2)) | v129(constB122, 2))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(19096,plain,
% 28.12/18.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB121, constB122)) | (~v127(constB121, 2)) | v129(constB122, 2))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(19097,plain,
% 28.12/18.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB121, constB122)) | (~v127(constB121, 2)) | v129(constB122, 2)),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[19096, 19095])).
% 28.12/18.65 tff(19098,plain,
% 28.12/18.65 ((~v127(constB121, 2)) | v129(constB122, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19097, 1513, 16319])).
% 28.12/18.65 tff(19099,plain,
% 28.12/18.65 (v129(constB122, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19098, 19094])).
% 28.12/18.65 tff(19100,plain,
% 28.12/18.65 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB122, 2) | (~v129(constB122, 2)) | (~v100(constB122)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB122, 2) | (~v129(constB122, 2)) | (~v100(constB122)))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(19101,plain,
% 28.12/18.65 ((v90(constB122, 2) | (~v100(constB122)) | (~v129(constB122, 2))) <=> (v90(constB122, 2) | (~v129(constB122, 2)) | (~v100(constB122)))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(19102,plain,
% 28.12/18.65 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB122, 2) | (~v100(constB122)) | (~v129(constB122, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB122, 2) | (~v129(constB122, 2)) | (~v100(constB122))))),
% 28.12/18.65 inference(monotonicity,[status(thm)],[19101])).
% 28.12/18.65 tff(19103,plain,
% 28.12/18.65 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB122, 2) | (~v100(constB122)) | (~v129(constB122, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB122, 2) | (~v129(constB122, 2)) | (~v100(constB122)))),
% 28.12/18.65 inference(transitivity,[status(thm)],[19102, 19100])).
% 28.12/18.65 tff(19104,plain,
% 28.12/18.65 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB122, 2) | (~v100(constB122)) | (~v129(constB122, 2)))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(19105,plain,
% 28.12/18.65 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB122, 2) | (~v129(constB122, 2)) | (~v100(constB122))),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[19104, 19103])).
% 28.12/18.65 tff(19106,plain,
% 28.12/18.65 ((~v129(constB122, 2)) | (~v100(constB122))),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19105, 1528, 19080])).
% 28.12/18.65 tff(19107,plain,
% 28.12/18.65 ($false),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19106, 19099, 19085])).
% 28.12/18.65 tff(19108,plain,((~v123(constB121)) | v124(constB123)), inference(lemma,lemma(discharge,[]))).
% 28.12/18.65 tff(19109,plain,
% 28.12/18.65 (~v123(constB121)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19108, 19029])).
% 28.12/18.65 tff(19110,plain,
% 28.12/18.65 (~v122(constB121)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18537, 2119, 19018])).
% 28.12/18.65 tff(19111,plain,
% 28.12/18.65 (v130(constB121, 0)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18603, 2258, 19110, 19109, 19028, 19027, 19026, 19019])).
% 28.12/18.65 tff(19112,plain,
% 28.12/18.65 (v127(constB121, 0)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18608, 19111])).
% 28.12/18.65 tff(19113,plain,
% 28.12/18.65 (v129(constB122, 0)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18613, 19112])).
% 28.12/18.65 tff(19114,plain,
% 28.12/18.65 (v100(constB122)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18562, 19018, 16583])).
% 28.12/18.65 tff(19115,plain,
% 28.12/18.65 (v90(constB122, 0) | (~v129(constB122, 0))),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18620, 642, 19114])).
% 28.12/18.65 tff(19116,plain,
% 28.12/18.65 (v90(constB122, 0)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19115, 19113])).
% 28.12/18.65 tff(19117,plain,
% 28.12/18.65 (v90(constB123, 0)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18630, 19116])).
% 28.12/18.65 tff(19118,plain,
% 28.12/18.65 (~v130(constB121, 1)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18541, 2214, 19110, 19109, 19028, 19027, 19026, 19019])).
% 28.12/18.65 tff(19119,plain,
% 28.12/18.65 (~v127(constB121, 1)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18549, 19118])).
% 28.12/18.65 tff(19120,plain,
% 28.12/18.65 (~v129(constB122, 1)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18554, 19119])).
% 28.12/18.65 tff(19121,plain,
% 28.12/18.65 ((~v90(constB122, 1)) | v129(constB122, 1)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18569, 574, 19114])).
% 28.12/18.65 tff(19122,plain,
% 28.12/18.65 (~v90(constB122, 1)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19121, 19120])).
% 28.12/18.65 tff(19123,plain,
% 28.12/18.65 (~v90(constB123, 1)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18579, 19122])).
% 28.12/18.65 tff(19124,plain,
% 28.12/18.65 ((~v90(constB123, 0)) | v90(constB123, 1) | v120(constB123)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18391, 679, 16610])).
% 28.12/18.65 tff(19125,plain,
% 28.12/18.65 (v120(constB123)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19124, 19123, 19117])).
% 28.12/18.65 tff(19126,plain,
% 28.12/18.65 (~v130(constB123, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18225, 785, 19125])).
% 28.12/18.65 tff(19127,plain,
% 28.12/18.65 (~v127(constB123, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18210, 19126])).
% 28.12/18.65 tff(19128,plain,
% 28.12/18.65 (~v129(constB124, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18187, 19127])).
% 28.12/18.65 tff(19129,plain,
% 28.12/18.65 (~v90(constB124, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18182, 19128, 16610])).
% 28.12/18.65 tff(19130,plain,
% 28.12/18.65 (~v90(constB125, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18162, 19129])).
% 28.12/18.65 tff(19131,plain,
% 28.12/18.65 (v130(constB125, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18903, 18058])).
% 28.12/18.65 tff(19132,plain,
% 28.12/18.65 (~v121(constB125)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18072, 1155, 19131])).
% 28.12/18.65 tff(19133,plain,
% 28.12/18.65 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB125)) | (~v130(constB125, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB125)) | (~v130(constB125, 2)))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(19134,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB125)) | (~v130(constB125, 2)))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(19135,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB125)) | (~v130(constB125, 2))),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[19134, 19133])).
% 28.12/18.65 tff(19136,plain,
% 28.12/18.65 (~v119(constB125)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19135, 441, 19131])).
% 28.12/18.65 tff(19137,plain,
% 28.12/18.65 ((~v127(constB125, 0)) | v130(constB125, 0)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18031, 933, 18809])).
% 28.12/18.65 tff(19138,plain,
% 28.12/18.65 (v130(constB125, 0)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19137, 17996])).
% 28.12/18.65 tff(19139,plain,
% 28.12/18.65 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB125)) | (~v130(constB125, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB125)) | (~v130(constB125, 0)))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(19140,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB125)) | (~v130(constB125, 0)))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(19141,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB125)) | (~v130(constB125, 0))),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[19140, 19139])).
% 28.12/18.65 tff(19142,plain,
% 28.12/18.65 (~v124(constB125)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19141, 1967, 19138])).
% 28.12/18.65 tff(19143,plain,
% 28.12/18.65 (~v120(constB125)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18035, 919, 19138])).
% 28.12/18.65 tff(19144,plain,
% 28.12/18.65 (~v122(constB125)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18039, 1351, 19138])).
% 28.12/18.65 tff(19145,plain,
% 28.12/18.65 (v119(constB125) | v121(constB125) | v123(constB125)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[18068, 2155, 19144, 19143, 19131, 19142])).
% 28.12/18.65 tff(19146,plain,
% 28.12/18.65 ($false),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19145, 19136, 19132, 18044])).
% 28.12/18.65 tff(19147,plain,(v90(constB125, 2) | (~v90(constB126, 2)) | (~v90(constB126, 0))), inference(lemma,lemma(discharge,[]))).
% 28.12/18.65 tff(19148,plain,
% 28.12/18.65 (~v90(constB126, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19147, 19130, 19006])).
% 28.12/18.65 tff(19149,plain,
% 28.12/18.65 (~v90(constB127, 2)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[17969, 19148])).
% 28.12/18.65 tff(19150,plain,
% 28.12/18.65 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB123)) | v130(constB123, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB123)) | v130(constB123, 1))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(19151,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB123)) | v130(constB123, 1))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(19152,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB123)) | v130(constB123, 1)),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[19151, 19150])).
% 28.12/18.65 tff(19153,plain,
% 28.12/18.65 (v130(constB123, 1)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19152, 841, 19125])).
% 28.12/18.65 tff(19154,assumption,(v26(constB123)), introduced(assumption)).
% 28.12/18.65 tff(19155,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB123))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(19156,plain,
% 28.12/18.65 ($false),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19155, 95, 19154])).
% 28.12/18.65 tff(19157,plain,(~v26(constB123)), inference(lemma,lemma(discharge,[]))).
% 28.12/18.65 tff(19158,plain,
% 28.12/18.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB123) | (~v130(constB123, 1)) | v127(constB123, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB123) | (~v130(constB123, 1)) | v127(constB123, 1))),
% 28.12/18.65 inference(rewrite,[status(thm)],[])).
% 28.12/18.65 tff(19159,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB123) | (~v130(constB123, 1)) | v127(constB123, 1))),
% 28.12/18.65 inference(quant_inst,[status(thm)],[])).
% 28.12/18.65 tff(19160,plain,
% 28.12/18.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB123) | (~v130(constB123, 1)) | v127(constB123, 1)),
% 28.12/18.65 inference(modus_ponens,[status(thm)],[19159, 19158])).
% 28.12/18.65 tff(19161,plain,
% 28.12/18.65 ((~v130(constB123, 1)) | v127(constB123, 1)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19160, 855, 19157])).
% 28.12/18.65 tff(19162,plain,
% 28.12/18.65 (v127(constB123, 1)),
% 28.12/18.65 inference(unit_resolution,[status(thm)],[19161, 19153])).
% 28.12/18.65 tff(19163,plain,
% 28.12/18.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB123, constB124)) | (~v127(constB123, 1)) | v129(constB124, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB123, constB124)) | (~v127(constB123, 1)) | v129(constB124, 1))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19164,plain,
% 28.12/18.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB123, constB124)) | (~v127(constB123, 1)) | v129(constB124, 1))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19165,plain,
% 28.12/18.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB123, constB124)) | (~v127(constB123, 1)) | v129(constB124, 1)),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19164, 19163])).
% 28.12/18.66 tff(19166,plain,
% 28.12/18.66 ((~v127(constB123, 1)) | v129(constB124, 1)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19165, 870, 18167])).
% 28.12/18.66 tff(19167,plain,
% 28.12/18.66 (v129(constB124, 1)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19166, 19162])).
% 28.12/18.66 tff(19168,plain,
% 28.12/18.66 (v116(constB123)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[18416, 16610])).
% 28.12/18.66 tff(19169,plain,
% 28.12/18.66 (v115(constB123)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[18423, 286, 19168])).
% 28.12/18.66 tff(19170,plain,
% 28.12/18.66 (v114(constB123)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[18430, 300, 19169])).
% 28.12/18.66 tff(19171,plain,
% 28.12/18.66 (v113(constB123)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[18434, 314, 19170])).
% 28.12/18.66 tff(19172,plain,
% 28.12/18.66 (v108(constB123)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[18460, 19171])).
% 28.12/18.66 tff(19173,plain,
% 28.12/18.66 (v110(constB124)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[18468, 19172])).
% 28.12/18.66 tff(19174,plain,
% 28.12/18.66 (v100(constB124)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[18494, 19173])).
% 28.12/18.66 tff(19175,plain,
% 28.12/18.66 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB124, 1) | (~v129(constB124, 1)) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB124, 1) | (~v129(constB124, 1)) | (~v100(constB124)))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19176,plain,
% 28.12/18.66 ((v90(constB124, 1) | (~v100(constB124)) | (~v129(constB124, 1))) <=> (v90(constB124, 1) | (~v129(constB124, 1)) | (~v100(constB124)))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19177,plain,
% 28.12/18.66 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB124, 1) | (~v100(constB124)) | (~v129(constB124, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB124, 1) | (~v129(constB124, 1)) | (~v100(constB124))))),
% 28.12/18.66 inference(monotonicity,[status(thm)],[19176])).
% 28.12/18.66 tff(19178,plain,
% 28.12/18.66 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB124, 1) | (~v100(constB124)) | (~v129(constB124, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB124, 1) | (~v129(constB124, 1)) | (~v100(constB124)))),
% 28.12/18.66 inference(transitivity,[status(thm)],[19177, 19175])).
% 28.12/18.66 tff(19179,plain,
% 28.12/18.66 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB124, 1) | (~v100(constB124)) | (~v129(constB124, 1)))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19180,plain,
% 28.12/18.66 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB124, 1) | (~v129(constB124, 1)) | (~v100(constB124))),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19179, 19178])).
% 28.12/18.66 tff(19181,plain,
% 28.12/18.66 (v90(constB124, 1) | (~v129(constB124, 1))),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19180, 885, 19174])).
% 28.12/18.66 tff(19182,plain,
% 28.12/18.66 (v90(constB124, 1)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19181, 19167])).
% 28.12/18.66 tff(19183,plain,
% 28.12/18.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB124, 1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB124, 1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 1))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19184,plain,
% 28.12/18.66 (((~nextState(constB124, constB125)) | (~v90(constB124, 1)) | v100(constB125) | v90(constB125, 1)) <=> ((~v90(constB124, 1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 1))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19185,plain,
% 28.12/18.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, 1)) | v100(constB125) | v90(constB125, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB124, 1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 1)))),
% 28.12/18.66 inference(monotonicity,[status(thm)],[19184])).
% 28.12/18.66 tff(19186,plain,
% 28.12/18.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, 1)) | v100(constB125) | v90(constB125, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB124, 1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 1))),
% 28.12/18.66 inference(transitivity,[status(thm)],[19185, 19183])).
% 28.12/18.66 tff(19187,plain,
% 28.12/18.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, 1)) | v100(constB125) | v90(constB125, 1))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19188,plain,
% 28.12/18.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB124, 1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 1)),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19187, 19186])).
% 28.12/18.66 tff(19189,plain,
% 28.12/18.66 ((~v90(constB124, 1)) | v100(constB125) | v90(constB125, 1)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19188, 903, 18142])).
% 28.12/18.66 tff(19190,plain,
% 28.12/18.66 ((~v90(constB124, 1)) | v90(constB125, 1)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19189, 18154])).
% 28.12/18.66 tff(19191,plain,
% 28.12/18.66 (v90(constB125, 1)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19190, 19182])).
% 28.12/18.66 tff(19192,plain,
% 28.12/18.66 (~v130(constB123, 0)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[18636, 919, 19125])).
% 28.12/18.66 tff(19193,plain,
% 28.12/18.66 ((~v127(constB123, 0)) | v130(constB123, 0)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[18246, 933, 19157])).
% 28.12/18.66 tff(19194,plain,
% 28.12/18.66 (~v127(constB123, 0)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19193, 19192])).
% 28.12/18.66 tff(19195,plain,
% 28.12/18.66 (~v129(constB124, 0)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[18252, 19194])).
% 28.12/18.66 tff(19196,plain,
% 28.12/18.66 ((~v90(constB124, 0)) | v129(constB124, 0)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[18260, 966, 19174])).
% 28.12/18.66 tff(19197,plain,
% 28.12/18.66 (~v90(constB124, 0)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19196, 19195])).
% 28.12/18.66 tff(19198,plain,
% 28.12/18.66 (~v90(constB125, 0)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[18270, 19197])).
% 28.12/18.66 tff(19199,plain,
% 28.12/18.66 (v121(constB125)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[18941, 993, 19198, 19191, 19130])).
% 28.12/18.66 tff(19200,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB125)) | v130(constB125, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB125)) | v130(constB125, 1))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19201,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB125)) | v130(constB125, 1))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19202,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB125)) | v130(constB125, 1)),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19201, 19200])).
% 28.12/18.66 tff(19203,plain,
% 28.12/18.66 (v130(constB125, 1)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19202, 1235, 19199])).
% 28.12/18.66 tff(19204,plain,
% 28.12/18.66 (v127(constB125, 1)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[18838, 19203])).
% 28.12/18.66 tff(19205,plain,
% 28.12/18.66 (v129(constB126, 1)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[18833, 19204])).
% 28.12/18.66 tff(19206,plain,
% 28.12/18.66 (v100(constB126)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[18278, 19198, 19006])).
% 28.12/18.66 tff(19207,plain,
% 28.12/18.66 (v90(constB126, 1) | (~v129(constB126, 1))),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[18828, 885, 19206])).
% 28.12/18.66 tff(19208,plain,
% 28.12/18.66 (v90(constB126, 1)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19207, 19205])).
% 28.12/18.66 tff(19209,plain,
% 28.12/18.66 (v90(constB127, 1)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[18661, 19208])).
% 28.12/18.66 tff(19210,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB127, 0)) | (~v90(constB127, 1)) | v90(constB127, 2) | v122(constB127))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB127, 0)) | (~v90(constB127, 1)) | v90(constB127, 2) | v122(constB127))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19211,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB127, 0)) | (~v90(constB127, 1)) | v90(constB127, 2) | v122(constB127))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19212,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB127, 0)) | (~v90(constB127, 1)) | v90(constB127, 2) | v122(constB127)),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19211, 19210])).
% 28.12/18.66 tff(19213,plain,
% 28.12/18.66 ((~v90(constB127, 1)) | v90(constB127, 2) | v122(constB127)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19212, 1260, 19005])).
% 28.12/18.66 tff(19214,plain,
% 28.12/18.66 (v122(constB127)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19213, 19209, 19149])).
% 28.12/18.66 tff(19215,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB127)) | v116(constB127))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB127)) | v116(constB127))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19216,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB127)) | v116(constB127))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19217,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB127)) | v116(constB127)),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19216, 19215])).
% 28.12/18.66 tff(19218,plain,
% 28.12/18.66 (v116(constB127)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19217, 1272, 19214])).
% 28.12/18.66 tff(19219,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB127)) | v115(constB127))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB127)) | v115(constB127))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19220,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB127)) | v115(constB127))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19221,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB127)) | v115(constB127)),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19220, 19219])).
% 28.12/18.66 tff(19222,plain,
% 28.12/18.66 (v115(constB127)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19221, 286, 19218])).
% 28.12/18.66 tff(19223,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB127) | (~v115(constB127)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB127) | (~v115(constB127)))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19224,plain,
% 28.12/18.66 (((~v115(constB127)) | v114(constB127)) <=> (v114(constB127) | (~v115(constB127)))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19225,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB127)) | v114(constB127))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB127) | (~v115(constB127))))),
% 28.12/18.66 inference(monotonicity,[status(thm)],[19224])).
% 28.12/18.66 tff(19226,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB127)) | v114(constB127))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB127) | (~v115(constB127)))),
% 28.12/18.66 inference(transitivity,[status(thm)],[19225, 19223])).
% 28.12/18.66 tff(19227,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB127)) | v114(constB127))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19228,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB127) | (~v115(constB127))),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19227, 19226])).
% 28.12/18.66 tff(19229,plain,
% 28.12/18.66 (v114(constB127)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19228, 300, 19222])).
% 28.12/18.66 tff(19230,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB127) | (~v114(constB127)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB127) | (~v114(constB127)))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19231,plain,
% 28.12/18.66 (((~v114(constB127)) | v113(constB127)) <=> (v113(constB127) | (~v114(constB127)))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19232,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB127)) | v113(constB127))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB127) | (~v114(constB127))))),
% 28.12/18.66 inference(monotonicity,[status(thm)],[19231])).
% 28.12/18.66 tff(19233,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB127)) | v113(constB127))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB127) | (~v114(constB127)))),
% 28.12/18.66 inference(transitivity,[status(thm)],[19232, 19230])).
% 28.12/18.66 tff(19234,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB127)) | v113(constB127))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19235,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB127) | (~v114(constB127))),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19234, 19233])).
% 28.12/18.66 tff(19236,plain,
% 28.12/18.66 (v113(constB127)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19235, 314, 19229])).
% 28.12/18.66 tff(19237,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | v112(constB127) | (~v113(constB127)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | v112(constB127) | (~v113(constB127)))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19238,plain,
% 28.12/18.66 ((v26(constB127) | (~v113(constB127)) | v112(constB127)) <=> (v26(constB127) | v112(constB127) | (~v113(constB127)))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19239,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | v112(constB127) | (~v113(constB127))))),
% 28.12/18.66 inference(monotonicity,[status(thm)],[19238])).
% 28.12/18.66 tff(19240,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | v112(constB127) | (~v113(constB127)))),
% 28.12/18.66 inference(transitivity,[status(thm)],[19239, 19237])).
% 28.12/18.66 tff(19241,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19242,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | v112(constB127) | (~v113(constB127))),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19241, 19240])).
% 28.12/18.66 tff(19243,plain,
% 28.12/18.66 (v112(constB127) | (~v113(constB127))),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19242, 328, 17801])).
% 28.12/18.66 tff(19244,plain,
% 28.12/18.66 (v112(constB127)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19243, 19236])).
% 28.12/18.66 tff(19245,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB127) | (~v112(constB127)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB127) | (~v112(constB127)))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19246,plain,
% 28.12/18.66 (((~v112(constB127)) | v108(constB127)) <=> (v108(constB127) | (~v112(constB127)))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19247,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB127)) | v108(constB127))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB127) | (~v112(constB127))))),
% 28.12/18.66 inference(monotonicity,[status(thm)],[19246])).
% 28.12/18.66 tff(19248,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB127)) | v108(constB127))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB127) | (~v112(constB127)))),
% 28.12/18.66 inference(transitivity,[status(thm)],[19247, 19245])).
% 28.12/18.66 tff(19249,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB127)) | v108(constB127))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19250,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB127) | (~v112(constB127))),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19249, 19248])).
% 28.12/18.66 tff(19251,plain,
% 28.12/18.66 (v108(constB127)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19250, 340, 19244])).
% 28.12/18.66 tff(19252,plain,
% 28.12/18.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19253,plain,
% 28.12/18.66 (((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128)) <=> ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19254,plain,
% 28.12/18.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127))))),
% 28.12/18.66 inference(monotonicity,[status(thm)],[19253])).
% 28.12/18.66 tff(19255,plain,
% 28.12/18.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 28.12/18.66 inference(transitivity,[status(thm)],[19254, 19252])).
% 28.12/18.66 tff(19256,plain,
% 28.12/18.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19257,plain,
% 28.12/18.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127))),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19256, 19255])).
% 28.12/18.66 tff(19258,plain,
% 28.12/18.66 (v110(constB128) | (~v108(constB127))),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19257, 360, 17814])).
% 28.12/18.66 tff(19259,plain,
% 28.12/18.66 (v110(constB128)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19258, 19251])).
% 28.12/18.66 tff(19260,plain,
% 28.12/18.66 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19261,plain,
% 28.12/18.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19262,plain,
% 28.12/18.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128))),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19261, 19260])).
% 28.12/18.66 tff(19263,plain,
% 28.12/18.66 (~v104(constB128)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19262, 378, 17814, 17911])).
% 28.12/18.66 tff(19264,plain,
% 28.12/18.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19265,plain,
% 28.12/18.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19266,plain,
% 28.12/18.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB127, constB128)) | v102(constB128) | v104(constB128)),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19265, 19264])).
% 28.12/18.66 tff(19267,plain,
% 28.12/18.66 (v102(constB128) | v104(constB128)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19266, 392, 17814])).
% 28.12/18.66 tff(19268,plain,
% 28.12/18.66 (v102(constB128)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19267, 19263])).
% 28.12/18.66 tff(19269,plain,
% 28.12/18.66 (v1(constB128) <=> v1(constB128)),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19270,axiom,(v1(constB128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_128_1')).
% 28.12/18.66 tff(19271,plain,
% 28.12/18.66 (v1(constB128)),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19270, 19269])).
% 28.12/18.66 tff(19272,plain,
% 28.12/18.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19273,plain,
% 28.12/18.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19274,plain,
% 28.12/18.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128))),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19273, 19272])).
% 28.12/18.66 tff(19275,plain,
% 28.12/18.66 (v101(constB128) | (~v102(constB128))),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19274, 410, 17814, 19271])).
% 28.12/18.66 tff(19276,plain,
% 28.12/18.66 (v101(constB128)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19275, 19268])).
% 28.12/18.66 tff(19277,plain,
% 28.12/18.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19278,plain,
% 28.12/18.66 (((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128)) <=> ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19279,plain,
% 28.12/18.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128))))),
% 28.12/18.66 inference(monotonicity,[status(thm)],[19278])).
% 28.12/18.66 tff(19280,plain,
% 28.12/18.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 28.12/18.66 inference(transitivity,[status(thm)],[19279, 19277])).
% 28.12/18.66 tff(19281,plain,
% 28.12/18.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19282,plain,
% 28.12/18.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128))),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19281, 19280])).
% 28.12/18.66 tff(19283,plain,
% 28.12/18.66 (v100(constB128) | (~v101(constB128)) | (~v110(constB128))),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19282, 425, 17814])).
% 28.12/18.66 tff(19284,plain,
% 28.12/18.66 (v100(constB128) | (~v110(constB128))),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19283, 19276])).
% 28.12/18.66 tff(19285,plain,
% 28.12/18.66 (v100(constB128)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19284, 19259])).
% 28.12/18.66 tff(19286,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB127)) | v130(constB127, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB127)) | v130(constB127, 2))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19287,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB127)) | v130(constB127, 2))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19288,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB127)) | v130(constB127, 2)),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19287, 19286])).
% 28.12/18.66 tff(19289,plain,
% 28.12/18.66 (v130(constB127, 2)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19288, 1484, 19214])).
% 28.12/18.66 tff(19290,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB127) | (~v130(constB127, 2)) | v127(constB127, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB127) | (~v130(constB127, 2)) | v127(constB127, 2))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19291,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB127) | (~v130(constB127, 2)) | v127(constB127, 2))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19292,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB127) | (~v130(constB127, 2)) | v127(constB127, 2)),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19291, 19290])).
% 28.12/18.66 tff(19293,plain,
% 28.12/18.66 ((~v130(constB127, 2)) | v127(constB127, 2)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19292, 1498, 17801])).
% 28.12/18.66 tff(19294,plain,
% 28.12/18.66 (v127(constB127, 2)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19293, 19289])).
% 28.12/18.66 tff(19295,plain,
% 28.12/18.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB127, constB128)) | (~v127(constB127, 2)) | v129(constB128, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB127, constB128)) | (~v127(constB127, 2)) | v129(constB128, 2))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19296,plain,
% 28.12/18.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB127, constB128)) | (~v127(constB127, 2)) | v129(constB128, 2))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19297,plain,
% 28.12/18.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB127, constB128)) | (~v127(constB127, 2)) | v129(constB128, 2)),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19296, 19295])).
% 28.12/18.66 tff(19298,plain,
% 28.12/18.66 ((~v127(constB127, 2)) | v129(constB128, 2)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19297, 1513, 17814])).
% 28.12/18.66 tff(19299,plain,
% 28.12/18.66 (v129(constB128, 2)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19298, 19294])).
% 28.12/18.66 tff(19300,plain,
% 28.12/18.66 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB128, 2) | (~v129(constB128, 2)) | (~v100(constB128)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB128, 2) | (~v129(constB128, 2)) | (~v100(constB128)))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19301,plain,
% 28.12/18.66 ((v90(constB128, 2) | (~v100(constB128)) | (~v129(constB128, 2))) <=> (v90(constB128, 2) | (~v129(constB128, 2)) | (~v100(constB128)))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19302,plain,
% 28.12/18.66 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB128, 2) | (~v100(constB128)) | (~v129(constB128, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB128, 2) | (~v129(constB128, 2)) | (~v100(constB128))))),
% 28.12/18.66 inference(monotonicity,[status(thm)],[19301])).
% 28.12/18.66 tff(19303,plain,
% 28.12/18.66 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB128, 2) | (~v100(constB128)) | (~v129(constB128, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB128, 2) | (~v129(constB128, 2)) | (~v100(constB128)))),
% 28.12/18.66 inference(transitivity,[status(thm)],[19302, 19300])).
% 28.12/18.66 tff(19304,plain,
% 28.12/18.66 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB128, 2) | (~v100(constB128)) | (~v129(constB128, 2)))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19305,plain,
% 28.12/18.66 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB128, 2) | (~v129(constB128, 2)) | (~v100(constB128))),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19304, 19303])).
% 28.12/18.66 tff(19306,plain,
% 28.12/18.66 (v90(constB128, 2) | (~v100(constB128))),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19305, 1528, 19299])).
% 28.12/18.66 tff(19307,plain,
% 28.12/18.66 (v90(constB128, 2)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19306, 19285])).
% 28.12/18.66 tff(19308,plain,
% 28.12/18.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB128, 2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB128, 2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 2))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19309,plain,
% 28.12/18.66 (((~nextState(constB128, constB129)) | (~v90(constB128, 2)) | v100(constB129) | v90(constB129, 2)) <=> ((~v90(constB128, 2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 2))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19310,plain,
% 28.12/18.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB128, constB129)) | (~v90(constB128, 2)) | v100(constB129) | v90(constB129, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB128, 2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 2)))),
% 28.12/18.66 inference(monotonicity,[status(thm)],[19309])).
% 28.12/18.66 tff(19311,plain,
% 28.12/18.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB128, constB129)) | (~v90(constB128, 2)) | v100(constB129) | v90(constB129, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB128, 2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 2))),
% 28.12/18.66 inference(transitivity,[status(thm)],[19310, 19308])).
% 28.12/18.66 tff(19312,plain,
% 28.12/18.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB128, constB129)) | (~v90(constB128, 2)) | v100(constB129) | v90(constB129, 2))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19313,plain,
% 28.12/18.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB128, 2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 2)),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19312, 19311])).
% 28.12/18.66 tff(19314,plain,
% 28.12/18.66 ((~v90(constB128, 2)) | v100(constB129) | v90(constB129, 2)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19313, 1546, 17609])).
% 28.12/18.66 tff(19315,plain,
% 28.12/18.66 ((~v90(constB128, 2)) | v90(constB129, 2)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19314, 17621])).
% 28.12/18.66 tff(19316,plain,
% 28.12/18.66 (v90(constB129, 2)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19315, 19307])).
% 28.12/18.66 tff(19317,plain,
% 28.12/18.66 (~v130(constB127, 1)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[17861, 1424, 19214])).
% 28.12/18.66 tff(19318,plain,
% 28.12/18.66 ((~v127(constB127, 1)) | v130(constB127, 1)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[17852, 541, 17801])).
% 28.12/18.66 tff(19319,plain,
% 28.12/18.66 (~v127(constB127, 1)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19318, 19317])).
% 28.12/18.66 tff(19320,plain,
% 28.12/18.66 (~v129(constB128, 1)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[17845, 19319])).
% 28.12/18.66 tff(19321,plain,
% 28.12/18.66 ((~v90(constB128, 1)) | (~v100(constB128))),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[17839, 574, 19320])).
% 28.12/18.66 tff(19322,plain,
% 28.12/18.66 (~v90(constB128, 1)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19321, 19285])).
% 28.12/18.66 tff(19323,plain,
% 28.12/18.66 (~v90(constB129, 1)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[17629, 19322])).
% 28.12/18.66 tff(19324,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB127)) | (~v130(constB127, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB127)) | (~v130(constB127, 0)))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19325,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB127)) | (~v130(constB127, 0)))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19326,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB127)) | (~v130(constB127, 0))),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19325, 19324])).
% 28.12/18.66 tff(19327,plain,
% 28.12/18.66 (~v130(constB127, 0)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19326, 1351, 19214])).
% 28.12/18.66 tff(19328,plain,
% 28.12/18.66 ((~v127(constB127, 0)) | v130(constB127, 0)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[17826, 933, 17801])).
% 28.12/18.66 tff(19329,plain,
% 28.12/18.66 (~v127(constB127, 0)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19328, 19327])).
% 28.12/18.66 tff(19330,plain,
% 28.12/18.66 (~v129(constB128, 0)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[17818, 19329])).
% 28.12/18.66 tff(19331,plain,
% 28.12/18.66 ((~v90(constB128, 0)) | (~v100(constB128))),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[17809, 966, 19330])).
% 28.12/18.66 tff(19332,plain,
% 28.12/18.66 (~v90(constB128, 0)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19331, 19285])).
% 28.12/18.66 tff(19333,plain,
% 28.12/18.66 (~v90(constB129, 0)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[17761, 19332])).
% 28.12/18.66 tff(19334,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB129, 0) | v90(constB129, 1) | (~v90(constB129, 2)) | v123(constB129))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB129, 0) | v90(constB129, 1) | (~v90(constB129, 2)) | v123(constB129))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19335,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB129, 0) | v90(constB129, 1) | (~v90(constB129, 2)) | v123(constB129))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19336,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB129, 0) | v90(constB129, 1) | (~v90(constB129, 2)) | v123(constB129)),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19335, 19334])).
% 28.12/18.66 tff(19337,plain,
% 28.12/18.66 (v123(constB129)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19336, 1565, 19333, 19323, 19316])).
% 28.12/18.66 tff(19338,plain,
% 28.12/18.66 (~v130(constB129, 1)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[17471, 1712, 19337])).
% 28.12/18.66 tff(19339,assumption,(v26(constB129)), introduced(assumption)).
% 28.12/18.66 tff(19340,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB129))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19341,plain,
% 28.12/18.66 ($false),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19340, 95, 19339])).
% 28.12/18.66 tff(19342,plain,(~v26(constB129)), inference(lemma,lemma(discharge,[]))).
% 28.12/18.66 tff(19343,plain,
% 28.12/18.66 ((~v127(constB129, 1)) | v130(constB129, 1)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[17448, 541, 19342])).
% 28.12/18.66 tff(19344,plain,
% 28.12/18.66 (~v127(constB129, 1)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19343, 19338])).
% 28.12/18.66 tff(19345,plain,
% 28.12/18.66 (~v129(constB130, 1)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[17441, 19344])).
% 28.12/18.66 tff(19346,assumption,(v123(constB129)), introduced(assumption)).
% 28.12/18.66 tff(19347,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB129) | (~v123(constB129)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB129) | (~v123(constB129)))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19348,plain,
% 28.12/18.66 (((~v123(constB129)) | v115(constB129)) <=> (v115(constB129) | (~v123(constB129)))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19349,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB129)) | v115(constB129))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB129) | (~v123(constB129))))),
% 28.12/18.66 inference(monotonicity,[status(thm)],[19348])).
% 28.12/18.66 tff(19350,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB129)) | v115(constB129))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB129) | (~v123(constB129)))),
% 28.12/18.66 inference(transitivity,[status(thm)],[19349, 19347])).
% 28.12/18.66 tff(19351,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB129)) | v115(constB129))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19352,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB129) | (~v123(constB129))),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19351, 19350])).
% 28.12/18.66 tff(19353,plain,
% 28.12/18.66 (v115(constB129)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19352, 1579, 19346])).
% 28.12/18.66 tff(19354,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB129) | (~v115(constB129)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB129) | (~v115(constB129)))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19355,plain,
% 28.12/18.66 (((~v115(constB129)) | v114(constB129)) <=> (v114(constB129) | (~v115(constB129)))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19356,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB129)) | v114(constB129))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB129) | (~v115(constB129))))),
% 28.12/18.66 inference(monotonicity,[status(thm)],[19355])).
% 28.12/18.66 tff(19357,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB129)) | v114(constB129))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB129) | (~v115(constB129)))),
% 28.12/18.66 inference(transitivity,[status(thm)],[19356, 19354])).
% 28.12/18.66 tff(19358,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB129)) | v114(constB129))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19359,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB129) | (~v115(constB129))),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19358, 19357])).
% 28.12/18.66 tff(19360,plain,
% 28.12/18.66 (v114(constB129)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19359, 300, 19353])).
% 28.12/18.66 tff(19361,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB129)) | v130(constB129, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB129)) | v130(constB129, 0))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19362,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB129)) | v130(constB129, 0))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19363,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB129)) | v130(constB129, 0)),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19362, 19361])).
% 28.12/18.66 tff(19364,plain,
% 28.12/18.66 (v130(constB129, 0)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19363, 1753, 19346])).
% 28.12/18.66 tff(19365,assumption,(~v26(constB129)), introduced(assumption)).
% 28.12/18.66 tff(19366,plain,
% 28.12/18.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB129) | (~v130(constB129, 0)) | v127(constB129, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB129) | (~v130(constB129, 0)) | v127(constB129, 0))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19367,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB129) | (~v130(constB129, 0)) | v127(constB129, 0))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19368,plain,
% 28.12/18.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB129) | (~v130(constB129, 0)) | v127(constB129, 0)),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19367, 19366])).
% 28.12/18.66 tff(19369,plain,
% 28.12/18.66 ((~v130(constB129, 0)) | v127(constB129, 0)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19368, 612, 19365])).
% 28.12/18.66 tff(19370,plain,
% 28.12/18.66 (v127(constB129, 0)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19369, 19364])).
% 28.12/18.66 tff(19371,plain,
% 28.12/18.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB129, constB130)) | (~v127(constB129, 0)) | v129(constB130, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB129, constB130)) | (~v127(constB129, 0)) | v129(constB130, 0))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19372,plain,
% 28.12/18.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB129, constB130)) | (~v127(constB129, 0)) | v129(constB130, 0))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19373,plain,
% 28.12/18.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB129, constB130)) | (~v127(constB129, 0)) | v129(constB130, 0)),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19372, 19371])).
% 28.12/18.66 tff(19374,plain,
% 28.12/18.66 ((~v127(constB129, 0)) | v129(constB130, 0)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19373, 627, 17406])).
% 28.12/18.66 tff(19375,plain,
% 28.12/18.66 (v129(constB130, 0)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19374, 19370])).
% 28.12/18.66 tff(19376,assumption,(~v90(constB130, 0)), introduced(assumption)).
% 28.12/18.66 tff(19377,plain,
% 28.12/18.66 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB130, 0) | (~v129(constB130, 0)) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB130, 0) | (~v129(constB130, 0)) | (~v100(constB130)))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19378,plain,
% 28.12/18.66 ((v90(constB130, 0) | (~v100(constB130)) | (~v129(constB130, 0))) <=> (v90(constB130, 0) | (~v129(constB130, 0)) | (~v100(constB130)))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19379,plain,
% 28.12/18.66 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB130, 0) | (~v100(constB130)) | (~v129(constB130, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB130, 0) | (~v129(constB130, 0)) | (~v100(constB130))))),
% 28.12/18.66 inference(monotonicity,[status(thm)],[19378])).
% 28.12/18.66 tff(19380,plain,
% 28.12/18.66 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB130, 0) | (~v100(constB130)) | (~v129(constB130, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB130, 0) | (~v129(constB130, 0)) | (~v100(constB130)))),
% 28.12/18.66 inference(transitivity,[status(thm)],[19379, 19377])).
% 28.12/18.66 tff(19381,plain,
% 28.12/18.66 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB130, 0) | (~v100(constB130)) | (~v129(constB130, 0)))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19382,plain,
% 28.12/18.66 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB130, 0) | (~v129(constB130, 0)) | (~v100(constB130))),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19381, 19380])).
% 28.12/18.66 tff(19383,plain,
% 28.12/18.66 ((~v129(constB130, 0)) | (~v100(constB130))),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19382, 642, 19376])).
% 28.12/18.66 tff(19384,plain,
% 28.12/18.66 (~v100(constB130)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19383, 19375])).
% 28.12/18.66 tff(19385,plain,
% 28.12/18.66 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))),
% 28.12/18.66 inference(rewrite,[status(thm)],[])).
% 28.12/18.66 tff(19386,plain,
% 28.12/18.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))),
% 28.12/18.66 inference(quant_inst,[status(thm)],[])).
% 28.12/18.66 tff(19387,plain,
% 28.12/18.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130))),
% 28.12/18.66 inference(modus_ponens,[status(thm)],[19386, 19385])).
% 28.12/18.66 tff(19388,plain,
% 28.12/18.66 (~v104(constB130)),
% 28.12/18.66 inference(unit_resolution,[status(thm)],[19387, 378, 17406, 17606])).
% 28.12/18.67 tff(19389,plain,
% 28.12/18.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))),
% 28.12/18.67 inference(rewrite,[status(thm)],[])).
% 28.12/18.67 tff(19390,plain,
% 28.12/18.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))),
% 28.12/18.67 inference(quant_inst,[status(thm)],[])).
% 28.12/18.67 tff(19391,plain,
% 28.12/18.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB129, constB130)) | v102(constB130) | v104(constB130)),
% 28.12/18.67 inference(modus_ponens,[status(thm)],[19390, 19389])).
% 28.12/18.67 tff(19392,plain,
% 28.12/18.67 (v102(constB130) | v104(constB130)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19391, 392, 17406])).
% 28.12/18.67 tff(19393,plain,
% 28.12/18.67 (v102(constB130)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19392, 19388])).
% 28.12/18.67 tff(19394,plain,
% 28.12/18.67 (v1(constB130) <=> v1(constB130)),
% 28.12/18.67 inference(rewrite,[status(thm)],[])).
% 28.12/18.67 tff(19395,axiom,(v1(constB130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_130_1')).
% 28.12/18.67 tff(19396,plain,
% 28.12/18.67 (v1(constB130)),
% 28.12/18.67 inference(modus_ponens,[status(thm)],[19395, 19394])).
% 28.12/18.67 tff(19397,plain,
% 28.12/18.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))),
% 28.12/18.67 inference(rewrite,[status(thm)],[])).
% 28.12/18.67 tff(19398,plain,
% 28.12/18.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))),
% 28.12/18.67 inference(quant_inst,[status(thm)],[])).
% 28.12/18.67 tff(19399,plain,
% 28.12/18.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130))),
% 28.12/18.67 inference(modus_ponens,[status(thm)],[19398, 19397])).
% 28.12/18.67 tff(19400,plain,
% 28.12/18.67 (v101(constB130) | (~v102(constB130))),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19399, 410, 17406, 19396])).
% 28.12/18.67 tff(19401,plain,
% 28.12/18.67 (v101(constB130)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19400, 19393])).
% 28.12/18.67 tff(19402,plain,
% 28.12/18.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 28.12/18.67 inference(rewrite,[status(thm)],[])).
% 28.12/18.67 tff(19403,plain,
% 28.12/18.67 (((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130)) <=> ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 28.12/18.67 inference(rewrite,[status(thm)],[])).
% 28.12/18.67 tff(19404,plain,
% 28.12/18.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130))))),
% 28.12/18.67 inference(monotonicity,[status(thm)],[19403])).
% 28.12/18.67 tff(19405,plain,
% 28.12/18.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 28.12/18.67 inference(transitivity,[status(thm)],[19404, 19402])).
% 28.12/18.67 tff(19406,plain,
% 28.12/18.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))),
% 28.12/18.67 inference(quant_inst,[status(thm)],[])).
% 28.12/18.67 tff(19407,plain,
% 28.12/18.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130))),
% 28.12/18.67 inference(modus_ponens,[status(thm)],[19406, 19405])).
% 28.12/18.67 tff(19408,plain,
% 28.12/18.67 (v100(constB130) | (~v101(constB130)) | (~v110(constB130))),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19407, 425, 17406])).
% 28.12/18.67 tff(19409,plain,
% 28.12/18.67 (v100(constB130) | (~v110(constB130))),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19408, 19401])).
% 28.12/18.67 tff(19410,plain,
% 28.12/18.67 (~v110(constB130)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19409, 19384])).
% 28.12/18.67 tff(19411,plain,
% 28.12/18.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 28.12/18.67 inference(rewrite,[status(thm)],[])).
% 28.12/18.67 tff(19412,plain,
% 28.12/18.67 (((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130)) <=> ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 28.12/18.67 inference(rewrite,[status(thm)],[])).
% 28.12/18.67 tff(19413,plain,
% 28.12/18.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129))))),
% 28.12/18.67 inference(monotonicity,[status(thm)],[19412])).
% 28.12/18.67 tff(19414,plain,
% 28.12/18.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 28.12/18.67 inference(transitivity,[status(thm)],[19413, 19411])).
% 28.12/18.67 tff(19415,plain,
% 28.12/18.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))),
% 28.12/18.67 inference(quant_inst,[status(thm)],[])).
% 28.12/18.67 tff(19416,plain,
% 28.12/18.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129))),
% 28.12/18.67 inference(modus_ponens,[status(thm)],[19415, 19414])).
% 28.12/18.67 tff(19417,plain,
% 28.12/18.67 (v110(constB130) | (~v108(constB129))),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19416, 360, 17406])).
% 28.12/18.67 tff(19418,plain,
% 28.12/18.67 (~v108(constB129)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19417, 19410])).
% 28.12/18.67 tff(19419,assumption,(~v108(constB129)), introduced(assumption)).
% 28.12/18.67 tff(19420,plain,
% 28.12/18.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB129) | (~v112(constB129)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v112(constB129)))),
% 28.12/18.67 inference(rewrite,[status(thm)],[])).
% 28.12/18.67 tff(19421,plain,
% 28.12/18.67 (((~v112(constB129)) | v108(constB129)) <=> (v108(constB129) | (~v112(constB129)))),
% 28.12/18.67 inference(rewrite,[status(thm)],[])).
% 28.12/18.67 tff(19422,plain,
% 28.12/18.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB129)) | v108(constB129))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB129) | (~v112(constB129))))),
% 28.12/18.67 inference(monotonicity,[status(thm)],[19421])).
% 28.12/18.67 tff(19423,plain,
% 28.12/18.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB129)) | v108(constB129))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v112(constB129)))),
% 28.12/18.67 inference(transitivity,[status(thm)],[19422, 19420])).
% 28.12/18.67 tff(19424,plain,
% 28.12/18.67 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB129)) | v108(constB129))),
% 28.12/18.67 inference(quant_inst,[status(thm)],[])).
% 28.12/18.67 tff(19425,plain,
% 28.12/18.67 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v112(constB129))),
% 28.12/18.67 inference(modus_ponens,[status(thm)],[19424, 19423])).
% 28.12/18.67 tff(19426,plain,
% 28.12/18.67 (~v112(constB129)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19425, 340, 19419])).
% 28.12/18.67 tff(19427,plain,
% 28.12/18.67 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB129) | (~v26(constB129)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v26(constB129)))),
% 28.12/18.67 inference(rewrite,[status(thm)],[])).
% 28.12/18.67 tff(19428,plain,
% 28.12/18.67 (((~v26(constB129)) | v108(constB129)) <=> (v108(constB129) | (~v26(constB129)))),
% 28.12/18.67 inference(rewrite,[status(thm)],[])).
% 28.12/18.67 tff(19429,plain,
% 28.12/18.67 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB129)) | v108(constB129))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB129) | (~v26(constB129))))),
% 28.12/18.67 inference(monotonicity,[status(thm)],[19428])).
% 28.12/18.67 tff(19430,plain,
% 28.12/18.67 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB129)) | v108(constB129))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v26(constB129)))),
% 28.12/18.67 inference(transitivity,[status(thm)],[19429, 19427])).
% 28.12/18.67 tff(19431,plain,
% 28.12/18.67 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB129)) | v108(constB129))),
% 28.12/18.67 inference(quant_inst,[status(thm)],[])).
% 28.12/18.67 tff(19432,plain,
% 28.12/18.67 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v26(constB129))),
% 28.12/18.67 inference(modus_ponens,[status(thm)],[19431, 19430])).
% 28.12/18.67 tff(19433,plain,
% 28.12/18.67 (~v26(constB129)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19432, 6750, 19419])).
% 28.12/18.67 tff(19434,assumption,(v113(constB129)), introduced(assumption)).
% 28.12/18.67 tff(19435,plain,
% 28.12/18.67 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | (~v113(constB129)) | v112(constB129))),
% 28.12/18.67 inference(rewrite,[status(thm)],[])).
% 28.12/18.67 tff(19436,plain,
% 28.12/18.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))),
% 28.12/18.67 inference(quant_inst,[status(thm)],[])).
% 28.12/18.67 tff(19437,plain,
% 28.12/18.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | (~v113(constB129)) | v112(constB129)),
% 28.12/18.67 inference(modus_ponens,[status(thm)],[19436, 19435])).
% 28.12/18.67 tff(19438,plain,
% 28.12/18.67 (v26(constB129) | v112(constB129)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19437, 328, 19434])).
% 28.12/18.67 tff(19439,plain,
% 28.12/18.67 ($false),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19438, 19433, 19426])).
% 28.12/18.67 tff(19440,plain,(v108(constB129) | (~v113(constB129))), inference(lemma,lemma(discharge,[]))).
% 28.12/18.67 tff(19441,plain,
% 28.12/18.67 (~v113(constB129)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19440, 19418])).
% 28.12/18.67 tff(19442,plain,
% 28.12/18.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB129) | (~v114(constB129)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB129) | (~v114(constB129)))),
% 28.12/18.67 inference(rewrite,[status(thm)],[])).
% 28.12/18.67 tff(19443,plain,
% 28.12/18.67 (((~v114(constB129)) | v113(constB129)) <=> (v113(constB129) | (~v114(constB129)))),
% 28.12/18.67 inference(rewrite,[status(thm)],[])).
% 28.12/18.67 tff(19444,plain,
% 28.12/18.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB129)) | v113(constB129))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB129) | (~v114(constB129))))),
% 28.12/18.67 inference(monotonicity,[status(thm)],[19443])).
% 28.12/18.67 tff(19445,plain,
% 28.12/18.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB129)) | v113(constB129))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB129) | (~v114(constB129)))),
% 28.12/18.67 inference(transitivity,[status(thm)],[19444, 19442])).
% 28.12/18.67 tff(19446,plain,
% 28.12/18.67 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB129)) | v113(constB129))),
% 28.12/18.67 inference(quant_inst,[status(thm)],[])).
% 28.12/18.67 tff(19447,plain,
% 28.12/18.67 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB129) | (~v114(constB129))),
% 28.12/18.67 inference(modus_ponens,[status(thm)],[19446, 19445])).
% 28.12/18.67 tff(19448,plain,
% 28.12/18.67 ($false),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19447, 314, 19441, 19360])).
% 28.12/18.67 tff(19449,plain,((~v123(constB129)) | v90(constB130, 0) | v26(constB129)), inference(lemma,lemma(discharge,[]))).
% 28.12/18.67 tff(19450,plain,
% 28.12/18.67 ((~v123(constB129)) | v90(constB130, 0)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19449, 19342])).
% 28.12/18.67 tff(19451,plain,
% 28.12/18.67 (v90(constB130, 0)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19450, 19337])).
% 28.12/18.67 tff(19452,plain,
% 28.12/18.67 (v100(constB130)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[17709, 19451, 19333])).
% 28.12/18.67 tff(19453,plain,
% 28.12/18.67 ((~v90(constB130, 1)) | v129(constB130, 1)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[17436, 574, 19452])).
% 28.12/18.67 tff(19454,plain,
% 28.12/18.67 (~v90(constB130, 1)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19453, 19345])).
% 28.12/18.67 tff(19455,plain,
% 28.12/18.67 (~v90(constB131, 1)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[17402, 19454])).
% 28.12/18.67 tff(19456,assumption,(~v90(constB130, 2)), introduced(assumption)).
% 28.12/18.67 tff(19457,assumption,(v122(constB127)), introduced(assumption)).
% 28.12/18.67 tff(19458,plain,
% 28.12/18.67 (v116(constB127)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19217, 1272, 19457])).
% 28.12/18.67 tff(19459,plain,
% 28.12/18.67 (v115(constB127)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19221, 286, 19458])).
% 28.12/18.67 tff(19460,plain,
% 28.12/18.67 (v114(constB127)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19228, 300, 19459])).
% 28.12/18.67 tff(19461,plain,
% 28.12/18.67 (v113(constB127)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19235, 314, 19460])).
% 28.12/18.67 tff(19462,plain,
% 28.12/18.67 (v112(constB127)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19243, 19461])).
% 28.12/18.67 tff(19463,plain,
% 28.12/18.67 (v108(constB127)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19250, 340, 19462])).
% 28.12/18.67 tff(19464,plain,
% 28.12/18.67 (v110(constB128)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19258, 19463])).
% 28.12/18.67 tff(19465,plain,
% 28.12/18.67 (v100(constB128)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19284, 19464])).
% 28.12/18.67 tff(19466,plain,
% 28.12/18.67 (v130(constB127, 2)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19288, 1484, 19457])).
% 28.12/18.67 tff(19467,plain,
% 28.12/18.67 (v127(constB127, 2)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19293, 19466])).
% 28.12/18.67 tff(19468,plain,
% 28.12/18.67 (v129(constB128, 2)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19298, 19467])).
% 28.12/18.67 tff(19469,plain,
% 28.12/18.67 (v90(constB128, 2) | (~v100(constB128))),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19305, 1528, 19468])).
% 28.12/18.67 tff(19470,plain,
% 28.12/18.67 (v90(constB128, 2)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19469, 19465])).
% 28.12/18.67 tff(19471,plain,
% 28.12/18.67 (v90(constB129, 2)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19315, 19470])).
% 28.12/18.67 tff(19472,plain,
% 28.12/18.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB129, 2)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB129, 2)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, 2))),
% 28.12/18.67 inference(rewrite,[status(thm)],[])).
% 28.12/18.67 tff(19473,plain,
% 28.12/18.67 (((~nextState(constB129, constB130)) | (~v90(constB129, 2)) | v100(constB130) | v90(constB130, 2)) <=> ((~v90(constB129, 2)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, 2))),
% 28.12/18.67 inference(rewrite,[status(thm)],[])).
% 28.12/18.67 tff(19474,plain,
% 28.12/18.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB129, constB130)) | (~v90(constB129, 2)) | v100(constB130) | v90(constB130, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB129, 2)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, 2)))),
% 28.12/18.67 inference(monotonicity,[status(thm)],[19473])).
% 28.12/18.67 tff(19475,plain,
% 28.12/18.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB129, constB130)) | (~v90(constB129, 2)) | v100(constB130) | v90(constB130, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB129, 2)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, 2))),
% 28.12/18.67 inference(transitivity,[status(thm)],[19474, 19472])).
% 28.12/18.67 tff(19476,plain,
% 28.12/18.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB129, constB130)) | (~v90(constB129, 2)) | v100(constB130) | v90(constB130, 2))),
% 28.12/18.67 inference(quant_inst,[status(thm)],[])).
% 28.12/18.67 tff(19477,plain,
% 28.12/18.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB129, 2)) | (~nextState(constB129, constB130)) | v100(constB130) | v90(constB130, 2)),
% 28.12/18.67 inference(modus_ponens,[status(thm)],[19476, 19475])).
% 28.12/18.67 tff(19478,plain,
% 28.12/18.67 ((~v90(constB129, 2)) | v100(constB130) | v90(constB130, 2)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19477, 1546, 17406])).
% 28.12/18.67 tff(19479,plain,
% 28.12/18.67 (v100(constB130)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19478, 19471, 19456])).
% 28.12/18.67 tff(19480,plain,
% 28.12/18.67 (v129(constB130, 0) | (~v100(constB130))),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[17420, 966, 17701])).
% 28.12/18.67 tff(19481,plain,
% 28.12/18.67 (v129(constB130, 0)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19480, 19479])).
% 28.12/18.67 tff(19482,plain,
% 28.12/18.67 (v127(constB129, 0)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[17425, 19481])).
% 28.12/18.67 tff(19483,plain,
% 28.12/18.67 (~v26(constB129)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[17429, 1370, 19482])).
% 28.12/18.67 tff(19484,plain,
% 28.12/18.67 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB130, 2) | (~v129(constB130, 2)) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB130, 2) | (~v129(constB130, 2)) | (~v100(constB130)))),
% 28.12/18.67 inference(rewrite,[status(thm)],[])).
% 28.12/18.67 tff(19485,plain,
% 28.12/18.67 ((v90(constB130, 2) | (~v100(constB130)) | (~v129(constB130, 2))) <=> (v90(constB130, 2) | (~v129(constB130, 2)) | (~v100(constB130)))),
% 28.12/18.67 inference(rewrite,[status(thm)],[])).
% 28.12/18.67 tff(19486,plain,
% 28.12/18.67 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB130, 2) | (~v100(constB130)) | (~v129(constB130, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB130, 2) | (~v129(constB130, 2)) | (~v100(constB130))))),
% 28.12/18.67 inference(monotonicity,[status(thm)],[19485])).
% 28.12/18.67 tff(19487,plain,
% 28.12/18.67 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB130, 2) | (~v100(constB130)) | (~v129(constB130, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB130, 2) | (~v129(constB130, 2)) | (~v100(constB130)))),
% 28.12/18.67 inference(transitivity,[status(thm)],[19486, 19484])).
% 28.12/18.67 tff(19488,plain,
% 28.12/18.67 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB130, 2) | (~v100(constB130)) | (~v129(constB130, 2)))),
% 28.12/18.67 inference(quant_inst,[status(thm)],[])).
% 28.12/18.67 tff(19489,plain,
% 28.12/18.67 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB130, 2) | (~v129(constB130, 2)) | (~v100(constB130))),
% 28.12/18.67 inference(modus_ponens,[status(thm)],[19488, 19487])).
% 28.12/18.67 tff(19490,plain,
% 28.12/18.67 ((~v129(constB130, 2)) | (~v100(constB130))),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19489, 1528, 19456])).
% 28.12/18.67 tff(19491,plain,
% 28.12/18.67 (~v129(constB130, 2)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19490, 19479])).
% 28.12/18.67 tff(19492,plain,
% 28.12/18.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB129, constB130)) | (~v127(constB129, 2)) | v129(constB130, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB129, constB130)) | (~v127(constB129, 2)) | v129(constB130, 2))),
% 28.12/18.67 inference(rewrite,[status(thm)],[])).
% 28.12/18.67 tff(19493,plain,
% 28.12/18.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB129, constB130)) | (~v127(constB129, 2)) | v129(constB130, 2))),
% 28.12/18.67 inference(quant_inst,[status(thm)],[])).
% 28.12/18.67 tff(19494,plain,
% 28.12/18.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB129, constB130)) | (~v127(constB129, 2)) | v129(constB130, 2)),
% 28.12/18.67 inference(modus_ponens,[status(thm)],[19493, 19492])).
% 28.12/18.67 tff(19495,plain,
% 28.12/18.67 ((~v127(constB129, 2)) | v129(constB130, 2)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19494, 1513, 17406])).
% 28.12/18.67 tff(19496,plain,
% 28.12/18.67 (~v127(constB129, 2)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19495, 19491])).
% 28.12/18.67 tff(19497,plain,
% 28.12/18.67 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB129) | (~v130(constB129, 2)) | v127(constB129, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB129) | (~v130(constB129, 2)) | v127(constB129, 2))),
% 28.12/18.67 inference(rewrite,[status(thm)],[])).
% 28.12/18.67 tff(19498,plain,
% 28.12/18.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB129) | (~v130(constB129, 2)) | v127(constB129, 2))),
% 28.12/18.67 inference(quant_inst,[status(thm)],[])).
% 28.12/18.67 tff(19499,plain,
% 28.12/18.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB129) | (~v130(constB129, 2)) | v127(constB129, 2)),
% 28.12/18.67 inference(modus_ponens,[status(thm)],[19498, 19497])).
% 28.12/18.67 tff(19500,plain,
% 28.12/18.67 (~v130(constB129, 2)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19499, 1498, 19496, 19483])).
% 28.12/18.67 tff(19501,plain,
% 28.12/18.67 (~v130(constB127, 1)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[17861, 1424, 19457])).
% 28.12/18.67 tff(19502,plain,
% 28.12/18.67 (~v127(constB127, 1)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19318, 19501])).
% 28.12/18.67 tff(19503,plain,
% 28.12/18.67 (~v129(constB128, 1)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[17845, 19502])).
% 28.12/18.67 tff(19504,plain,
% 28.12/18.67 ((~v90(constB128, 1)) | (~v100(constB128))),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[17839, 574, 19503])).
% 28.12/18.67 tff(19505,plain,
% 28.12/18.67 (~v90(constB128, 1)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19504, 19465])).
% 28.12/18.67 tff(19506,plain,
% 28.12/18.67 (~v90(constB129, 1)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[17629, 19505])).
% 28.12/18.67 tff(19507,plain,
% 28.12/18.67 (~v130(constB127, 0)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19326, 1351, 19457])).
% 28.12/18.67 tff(19508,plain,
% 28.12/18.67 (~v127(constB127, 0)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19328, 19507])).
% 28.12/18.67 tff(19509,plain,
% 28.12/18.67 (~v129(constB128, 0)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[17818, 19508])).
% 28.12/18.67 tff(19510,plain,
% 28.12/18.67 ((~v90(constB128, 0)) | (~v100(constB128))),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[17809, 966, 19509])).
% 28.12/18.67 tff(19511,plain,
% 28.12/18.67 (~v90(constB128, 0)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19510, 19465])).
% 28.12/18.67 tff(19512,plain,
% 28.12/18.67 (~v90(constB129, 0)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[17761, 19511])).
% 28.12/18.67 tff(19513,plain,
% 28.12/18.67 (v123(constB129)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19336, 1565, 19512, 19506, 19471])).
% 28.12/18.67 tff(19514,plain,
% 28.12/18.67 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB129)) | v130(constB129, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB129)) | v130(constB129, 2))),
% 28.12/18.67 inference(rewrite,[status(thm)],[])).
% 28.12/18.67 tff(19515,plain,
% 28.12/18.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB129)) | v130(constB129, 2))),
% 28.12/18.67 inference(quant_inst,[status(thm)],[])).
% 28.12/18.67 tff(19516,plain,
% 28.12/18.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB129)) | v130(constB129, 2)),
% 28.12/18.67 inference(modus_ponens,[status(thm)],[19515, 19514])).
% 28.12/18.67 tff(19517,plain,
% 28.12/18.67 ($false),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19516, 1656, 19513, 19500])).
% 28.12/18.67 tff(19518,plain,((~v122(constB127)) | v90(constB130, 2) | (~v90(constB130, 0))), inference(lemma,lemma(discharge,[]))).
% 28.12/18.67 tff(19519,plain,
% 28.12/18.67 (v90(constB130, 2)),
% 28.12/18.67 inference(unit_resolution,[status(thm)],[19518, 19451, 19214])).
% 28.12/18.67 tff(19520,plain,
% 28.12/18.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB130, 2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB130, 2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 2))),
% 28.12/18.67 inference(rewrite,[status(thm)],[])).
% 28.12/18.67 tff(19521,plain,
% 28.12/18.67 (((~nextState(constB130, constB131)) | (~v90(constB130, 2)) | v100(constB131) | v90(constB131, 2)) <=> ((~v90(constB130, 2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 2))),
% 28.12/18.67 inference(rewrite,[status(thm)],[])).
% 28.12/18.67 tff(19522,plain,
% 28.12/18.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB130, constB131)) | (~v90(constB130, 2)) | v100(constB131) | v90(constB131, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB130, 2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 2)))),
% 28.12/18.67 inference(monotonicity,[status(thm)],[19521])).
% 28.12/18.67 tff(19523,plain,
% 28.12/18.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB130, constB131)) | (~v90(constB130, 2)) | v100(constB131) | v90(constB131, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB130, 2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 2))),
% 28.12/18.67 inference(transitivity,[status(thm)],[19522, 19520])).
% 28.12/18.67 tff(19524,plain,
% 28.12/18.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB130, constB131)) | (~v90(constB130, 2)) | v100(constB131) | v90(constB131, 2))),
% 28.12/18.67 inference(quant_inst,[status(thm)],[])).
% 28.16/18.67 tff(19525,plain,
% 28.16/18.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB130, 2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 2)),
% 28.16/18.67 inference(modus_ponens,[status(thm)],[19524, 19523])).
% 28.16/18.67 tff(19526,plain,
% 28.16/18.67 ((~v90(constB130, 2)) | v100(constB131) | v90(constB131, 2)),
% 28.16/18.67 inference(unit_resolution,[status(thm)],[19525, 1546, 17365])).
% 28.16/18.67 tff(19527,plain,
% 28.16/18.67 ((~v90(constB130, 2)) | v90(constB131, 2)),
% 28.16/18.67 inference(unit_resolution,[status(thm)],[19526, 17377])).
% 28.16/18.67 tff(19528,plain,
% 28.16/18.67 (v90(constB131, 2)),
% 28.16/18.67 inference(unit_resolution,[status(thm)],[19527, 19519])).
% 28.16/18.67 tff(19529,plain,
% 28.16/18.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB130, 0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB130, 0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 0))),
% 28.16/18.67 inference(rewrite,[status(thm)],[])).
% 28.16/18.67 tff(19530,plain,
% 28.16/18.67 (((~nextState(constB130, constB131)) | (~v90(constB130, 0)) | v100(constB131) | v90(constB131, 0)) <=> ((~v90(constB130, 0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 0))),
% 28.16/18.67 inference(rewrite,[status(thm)],[])).
% 28.16/18.67 tff(19531,plain,
% 28.16/18.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, 0)) | v100(constB131) | v90(constB131, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB130, 0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 0)))),
% 28.16/18.67 inference(monotonicity,[status(thm)],[19530])).
% 28.16/18.67 tff(19532,plain,
% 28.16/18.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, 0)) | v100(constB131) | v90(constB131, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB130, 0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 0))),
% 28.16/18.67 inference(transitivity,[status(thm)],[19531, 19529])).
% 28.16/18.67 tff(19533,plain,
% 28.16/18.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, 0)) | v100(constB131) | v90(constB131, 0))),
% 28.16/18.67 inference(quant_inst,[status(thm)],[])).
% 28.16/18.67 tff(19534,plain,
% 28.16/18.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB130, 0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 0)),
% 28.16/18.67 inference(modus_ponens,[status(thm)],[19533, 19532])).
% 28.16/18.67 tff(19535,plain,
% 28.16/18.67 ((~v90(constB130, 0)) | v100(constB131) | v90(constB131, 0)),
% 28.16/18.67 inference(unit_resolution,[status(thm)],[19534, 660, 17365])).
% 28.16/18.67 tff(19536,plain,
% 28.16/18.67 ((~v90(constB130, 0)) | v90(constB131, 0)),
% 28.16/18.67 inference(unit_resolution,[status(thm)],[19535, 17377])).
% 28.16/18.67 tff(19537,plain,
% 28.16/18.67 (v90(constB131, 0)),
% 28.16/18.67 inference(unit_resolution,[status(thm)],[19536, 19451])).
% 28.16/18.67 tff(19538,plain,
% 28.16/18.67 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB131, 0)) | v90(constB131, 1) | (~v90(constB131, 2)) | v124(constB131))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB131, 0)) | v90(constB131, 1) | (~v90(constB131, 2)) | v124(constB131))),
% 28.16/18.67 inference(rewrite,[status(thm)],[])).
% 28.16/18.67 tff(19539,plain,
% 28.16/18.67 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB131, 0)) | v90(constB131, 1) | (~v90(constB131, 2)) | v124(constB131))),
% 28.16/18.67 inference(quant_inst,[status(thm)],[])).
% 28.16/18.67 tff(19540,plain,
% 28.16/18.67 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB131, 0)) | v90(constB131, 1) | (~v90(constB131, 2)) | v124(constB131)),
% 28.16/18.67 inference(modus_ponens,[status(thm)],[19539, 19538])).
% 28.16/18.67 tff(19541,plain,
% 28.16/18.67 (v90(constB131, 1) | v124(constB131)),
% 28.16/18.67 inference(unit_resolution,[status(thm)],[19540, 1794, 19537, 19528])).
% 28.16/18.67 tff(19542,plain,
% 28.16/18.67 (v124(constB131)),
% 28.16/18.67 inference(unit_resolution,[status(thm)],[19541, 19455])).
% 28.16/18.67 tff(19543,plain,
% 28.16/18.67 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB131)) | v114(constB131))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB131)) | v114(constB131))),
% 28.16/18.67 inference(rewrite,[status(thm)],[])).
% 28.16/18.67 tff(19544,plain,
% 28.16/18.67 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB131)) | v114(constB131))),
% 28.16/18.67 inference(quant_inst,[status(thm)],[])).
% 28.16/18.67 tff(19545,plain,
% 28.16/18.67 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB131)) | v114(constB131)),
% 28.16/18.67 inference(modus_ponens,[status(thm)],[19544, 19543])).
% 28.16/18.67 tff(19546,plain,
% 28.16/18.67 (v114(constB131)),
% 28.16/18.67 inference(unit_resolution,[status(thm)],[19545, 1805, 19542])).
% 28.16/18.67 tff(19547,plain,
% 28.16/18.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB131)) | v113(constB131))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB131)) | v113(constB131))),
% 28.16/18.67 inference(rewrite,[status(thm)],[])).
% 28.16/18.67 tff(19548,plain,
% 28.16/18.67 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB131)) | v113(constB131))),
% 28.16/18.67 inference(quant_inst,[status(thm)],[])).
% 28.16/18.67 tff(19549,plain,
% 28.16/18.67 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB131)) | v113(constB131)),
% 28.16/18.67 inference(modus_ponens,[status(thm)],[19548, 19547])).
% 28.16/18.67 tff(19550,plain,
% 28.16/18.67 (v113(constB131)),
% 28.16/18.67 inference(unit_resolution,[status(thm)],[19549, 314, 19546])).
% 28.16/18.67 tff(19551,assumption,(v26(constB131)), introduced(assumption)).
% 28.16/18.67 tff(19552,plain,
% 28.16/18.67 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB131))),
% 28.16/18.67 inference(quant_inst,[status(thm)],[])).
% 28.16/18.67 tff(19553,plain,
% 28.16/18.67 ($false),
% 28.16/18.67 inference(unit_resolution,[status(thm)],[19552, 95, 19551])).
% 28.16/18.67 tff(19554,plain,(~v26(constB131)), inference(lemma,lemma(discharge,[]))).
% 28.16/18.67 tff(19555,plain,
% 28.16/18.67 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | v112(constB131) | (~v113(constB131)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | v112(constB131) | (~v113(constB131)))),
% 28.16/18.67 inference(rewrite,[status(thm)],[])).
% 28.16/18.67 tff(19556,plain,
% 28.16/18.67 ((v26(constB131) | (~v113(constB131)) | v112(constB131)) <=> (v26(constB131) | v112(constB131) | (~v113(constB131)))),
% 28.16/18.67 inference(rewrite,[status(thm)],[])).
% 28.16/18.67 tff(19557,plain,
% 28.16/18.67 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | (~v113(constB131)) | v112(constB131))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | v112(constB131) | (~v113(constB131))))),
% 28.16/18.67 inference(monotonicity,[status(thm)],[19556])).
% 28.16/18.67 tff(19558,plain,
% 28.16/18.67 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | (~v113(constB131)) | v112(constB131))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | v112(constB131) | (~v113(constB131)))),
% 28.16/18.67 inference(transitivity,[status(thm)],[19557, 19555])).
% 28.16/18.67 tff(19559,plain,
% 28.16/18.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | (~v113(constB131)) | v112(constB131))),
% 28.16/18.67 inference(quant_inst,[status(thm)],[])).
% 28.16/18.67 tff(19560,plain,
% 28.16/18.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | v112(constB131) | (~v113(constB131))),
% 28.16/18.67 inference(modus_ponens,[status(thm)],[19559, 19558])).
% 28.16/18.67 tff(19561,plain,
% 28.16/18.67 (v112(constB131) | (~v113(constB131))),
% 28.16/18.67 inference(unit_resolution,[status(thm)],[19560, 328, 19554])).
% 28.16/18.67 tff(19562,plain,
% 28.16/18.67 (v112(constB131)),
% 28.16/18.67 inference(unit_resolution,[status(thm)],[19561, 19550])).
% 28.16/18.67 tff(19563,plain,
% 28.16/18.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB131) | (~v112(constB131)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v112(constB131)))),
% 28.16/18.67 inference(rewrite,[status(thm)],[])).
% 28.16/18.67 tff(19564,plain,
% 28.16/18.67 (((~v112(constB131)) | v108(constB131)) <=> (v108(constB131) | (~v112(constB131)))),
% 28.16/18.67 inference(rewrite,[status(thm)],[])).
% 28.16/18.67 tff(19565,plain,
% 28.16/18.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB131)) | v108(constB131))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB131) | (~v112(constB131))))),
% 28.16/18.67 inference(monotonicity,[status(thm)],[19564])).
% 28.16/18.67 tff(19566,plain,
% 28.16/18.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB131)) | v108(constB131))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v112(constB131)))),
% 28.16/18.67 inference(transitivity,[status(thm)],[19565, 19563])).
% 28.16/18.67 tff(19567,plain,
% 28.16/18.67 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB131)) | v108(constB131))),
% 28.16/18.67 inference(quant_inst,[status(thm)],[])).
% 28.16/18.67 tff(19568,plain,
% 28.16/18.67 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v112(constB131))),
% 28.16/18.67 inference(modus_ponens,[status(thm)],[19567, 19566])).
% 28.16/18.67 tff(19569,plain,
% 28.16/18.67 (v108(constB131)),
% 28.16/18.67 inference(unit_resolution,[status(thm)],[19568, 340, 19562])).
% 28.16/18.67 tff(19570,plain,
% 28.16/18.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 28.16/18.67 inference(rewrite,[status(thm)],[])).
% 28.16/18.67 tff(19571,plain,
% 28.16/18.67 (((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132)) <=> ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 28.16/18.67 inference(rewrite,[status(thm)],[])).
% 28.16/18.67 tff(19572,plain,
% 28.16/18.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131))))),
% 28.16/18.67 inference(monotonicity,[status(thm)],[19571])).
% 28.16/18.67 tff(19573,plain,
% 28.16/18.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 28.16/18.67 inference(transitivity,[status(thm)],[19572, 19570])).
% 28.16/18.67 tff(19574,plain,
% 28.16/18.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))),
% 28.16/18.67 inference(quant_inst,[status(thm)],[])).
% 28.16/18.67 tff(19575,plain,
% 28.16/18.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131))),
% 28.16/18.67 inference(modus_ponens,[status(thm)],[19574, 19573])).
% 28.16/18.67 tff(19576,plain,
% 28.16/18.67 (v110(constB132) | (~v108(constB131))),
% 28.16/18.67 inference(unit_resolution,[status(thm)],[19575, 360, 17351])).
% 28.16/18.67 tff(19577,plain,
% 28.16/18.67 (v110(constB132)),
% 28.16/18.67 inference(unit_resolution,[status(thm)],[19576, 19569])).
% 28.16/18.67 tff(19578,plain,
% 28.16/18.67 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))),
% 28.16/18.67 inference(rewrite,[status(thm)],[])).
% 28.16/18.67 tff(19579,plain,
% 28.16/18.67 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))),
% 28.16/18.67 inference(quant_inst,[status(thm)],[])).
% 28.16/18.67 tff(19580,plain,
% 28.16/18.67 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132))),
% 28.16/18.67 inference(modus_ponens,[status(thm)],[19579, 19578])).
% 28.16/18.67 tff(19581,plain,
% 28.16/18.67 (~v104(constB132)),
% 28.16/18.67 inference(unit_resolution,[status(thm)],[19580, 378, 17351, 17362])).
% 28.16/18.67 tff(19582,plain,
% 28.16/18.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))),
% 28.16/18.67 inference(rewrite,[status(thm)],[])).
% 28.16/18.67 tff(19583,plain,
% 28.16/18.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))),
% 28.16/18.67 inference(quant_inst,[status(thm)],[])).
% 28.16/18.67 tff(19584,plain,
% 28.16/18.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB131, constB132)) | v102(constB132) | v104(constB132)),
% 28.16/18.67 inference(modus_ponens,[status(thm)],[19583, 19582])).
% 28.16/18.67 tff(19585,plain,
% 28.16/18.67 (v102(constB132) | v104(constB132)),
% 28.16/18.67 inference(unit_resolution,[status(thm)],[19584, 392, 17351])).
% 28.16/18.67 tff(19586,plain,
% 28.16/18.67 (v102(constB132)),
% 28.16/18.67 inference(unit_resolution,[status(thm)],[19585, 19581])).
% 28.16/18.67 tff(19587,plain,
% 28.16/18.67 (v1(constB132) <=> v1(constB132)),
% 28.16/18.67 inference(rewrite,[status(thm)],[])).
% 28.16/18.67 tff(19588,axiom,(v1(constB132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_132_1')).
% 28.16/18.67 tff(19589,plain,
% 28.16/18.67 (v1(constB132)),
% 28.16/18.67 inference(modus_ponens,[status(thm)],[19588, 19587])).
% 28.16/18.67 tff(19590,plain,
% 28.16/18.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))),
% 28.16/18.67 inference(rewrite,[status(thm)],[])).
% 28.16/18.67 tff(19591,plain,
% 28.16/18.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))),
% 28.16/18.67 inference(quant_inst,[status(thm)],[])).
% 28.16/18.67 tff(19592,plain,
% 28.16/18.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132))),
% 28.16/18.67 inference(modus_ponens,[status(thm)],[19591, 19590])).
% 28.16/18.67 tff(19593,plain,
% 28.16/18.67 (v101(constB132) | (~v102(constB132))),
% 28.16/18.67 inference(unit_resolution,[status(thm)],[19592, 410, 17351, 19589])).
% 28.16/18.68 tff(19594,plain,
% 28.16/18.68 (v101(constB132)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19593, 19586])).
% 28.16/18.68 tff(19595,plain,
% 28.16/18.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19596,plain,
% 28.16/18.68 (((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132)) <=> ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19597,plain,
% 28.16/18.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132))))),
% 28.16/18.68 inference(monotonicity,[status(thm)],[19596])).
% 28.16/18.68 tff(19598,plain,
% 28.16/18.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 28.16/18.68 inference(transitivity,[status(thm)],[19597, 19595])).
% 28.16/18.68 tff(19599,plain,
% 28.16/18.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19600,plain,
% 28.16/18.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132))),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19599, 19598])).
% 28.16/18.68 tff(19601,plain,
% 28.16/18.68 (v100(constB132) | (~v101(constB132)) | (~v110(constB132))),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19600, 425, 17351])).
% 28.16/18.68 tff(19602,plain,
% 28.16/18.68 (v100(constB132) | (~v110(constB132))),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19601, 19594])).
% 28.16/18.68 tff(19603,plain,
% 28.16/18.68 (v100(constB132)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19602, 19577])).
% 28.16/18.68 tff(19604,plain,
% 28.16/18.68 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB131)) | v130(constB131, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB131)) | v130(constB131, 2))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19605,plain,
% 28.16/18.68 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB131)) | v130(constB131, 2))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19606,plain,
% 28.16/18.68 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB131)) | v130(constB131, 2)),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19605, 19604])).
% 28.16/18.68 tff(19607,plain,
% 28.16/18.68 (v130(constB131, 2)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19606, 1873, 19542])).
% 28.16/18.68 tff(19608,plain,
% 28.16/18.68 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB131) | (~v130(constB131, 2)) | v127(constB131, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB131) | (~v130(constB131, 2)) | v127(constB131, 2))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19609,plain,
% 28.16/18.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB131) | (~v130(constB131, 2)) | v127(constB131, 2))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19610,plain,
% 28.16/18.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB131) | (~v130(constB131, 2)) | v127(constB131, 2)),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19609, 19608])).
% 28.16/18.68 tff(19611,plain,
% 28.16/18.68 ((~v130(constB131, 2)) | v127(constB131, 2)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19610, 1498, 19554])).
% 28.16/18.68 tff(19612,plain,
% 28.16/18.68 (v127(constB131, 2)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19611, 19607])).
% 28.16/18.68 tff(19613,plain,
% 28.16/18.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB131, constB132)) | (~v127(constB131, 2)) | v129(constB132, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB131, constB132)) | (~v127(constB131, 2)) | v129(constB132, 2))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19614,plain,
% 28.16/18.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB131, constB132)) | (~v127(constB131, 2)) | v129(constB132, 2))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19615,plain,
% 28.16/18.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB131, constB132)) | (~v127(constB131, 2)) | v129(constB132, 2)),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19614, 19613])).
% 28.16/18.68 tff(19616,plain,
% 28.16/18.68 ((~v127(constB131, 2)) | v129(constB132, 2)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19615, 1513, 17351])).
% 28.16/18.68 tff(19617,plain,
% 28.16/18.68 (v129(constB132, 2)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19616, 19612])).
% 28.16/18.68 tff(19618,plain,
% 28.16/18.68 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB132, 2) | (~v129(constB132, 2)) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB132, 2) | (~v129(constB132, 2)) | (~v100(constB132)))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19619,plain,
% 28.16/18.68 ((v90(constB132, 2) | (~v100(constB132)) | (~v129(constB132, 2))) <=> (v90(constB132, 2) | (~v129(constB132, 2)) | (~v100(constB132)))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19620,plain,
% 28.16/18.68 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB132, 2) | (~v100(constB132)) | (~v129(constB132, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB132, 2) | (~v129(constB132, 2)) | (~v100(constB132))))),
% 28.16/18.68 inference(monotonicity,[status(thm)],[19619])).
% 28.16/18.68 tff(19621,plain,
% 28.16/18.68 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB132, 2) | (~v100(constB132)) | (~v129(constB132, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB132, 2) | (~v129(constB132, 2)) | (~v100(constB132)))),
% 28.16/18.68 inference(transitivity,[status(thm)],[19620, 19618])).
% 28.16/18.68 tff(19622,plain,
% 28.16/18.68 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB132, 2) | (~v100(constB132)) | (~v129(constB132, 2)))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19623,plain,
% 28.16/18.68 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB132, 2) | (~v129(constB132, 2)) | (~v100(constB132))),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19622, 19621])).
% 28.16/18.68 tff(19624,plain,
% 28.16/18.68 (v90(constB132, 2) | (~v100(constB132))),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19623, 1528, 19617])).
% 28.16/18.68 tff(19625,plain,
% 28.16/18.68 (v90(constB132, 2)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19624, 19603])).
% 28.16/18.68 tff(19626,plain,
% 28.16/18.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB132, 2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB132, 2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 2))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19627,plain,
% 28.16/18.68 (((~nextState(constB132, constB133)) | (~v90(constB132, 2)) | v100(constB133) | v90(constB133, 2)) <=> ((~v90(constB132, 2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 2))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19628,plain,
% 28.16/18.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 2)) | v100(constB133) | v90(constB133, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB132, 2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 2)))),
% 28.16/18.68 inference(monotonicity,[status(thm)],[19627])).
% 28.16/18.68 tff(19629,plain,
% 28.16/18.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 2)) | v100(constB133) | v90(constB133, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB132, 2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 2))),
% 28.16/18.68 inference(transitivity,[status(thm)],[19628, 19626])).
% 28.16/18.68 tff(19630,plain,
% 28.16/18.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 2)) | v100(constB133) | v90(constB133, 2))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19631,plain,
% 28.16/18.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB132, 2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 2)),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19630, 19629])).
% 28.16/18.68 tff(19632,plain,
% 28.16/18.68 ((~v90(constB132, 2)) | v100(constB133) | v90(constB133, 2)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19631, 1546, 17278])).
% 28.16/18.68 tff(19633,plain,
% 28.16/18.68 ((~v90(constB132, 2)) | v90(constB133, 2)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19632, 17290])).
% 28.16/18.68 tff(19634,plain,
% 28.16/18.68 (v90(constB133, 2)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19633, 19625])).
% 28.16/18.68 tff(19635,plain,
% 28.16/18.68 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB133)) | (~v90(constB133, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB133)) | (~v90(constB133, 2)))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19636,plain,
% 28.16/18.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB133)) | (~v90(constB133, 2)))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19637,plain,
% 28.16/18.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB133)) | (~v90(constB133, 2))),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19636, 19635])).
% 28.16/18.68 tff(19638,plain,
% 28.16/18.68 (~v122(constB133)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19637, 2119, 19634])).
% 28.16/18.68 tff(19639,plain,
% 28.16/18.68 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB131)) | v130(constB131, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB131)) | v130(constB131, 1))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19640,plain,
% 28.16/18.68 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB131)) | v130(constB131, 1))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19641,plain,
% 28.16/18.68 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB131)) | v130(constB131, 1)),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19640, 19639])).
% 28.16/18.68 tff(19642,plain,
% 28.16/18.68 (v130(constB131, 1)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19641, 1929, 19542])).
% 28.16/18.68 tff(19643,plain,
% 28.16/18.68 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB131) | (~v130(constB131, 1)) | v127(constB131, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB131) | (~v130(constB131, 1)) | v127(constB131, 1))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19644,plain,
% 28.16/18.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB131) | (~v130(constB131, 1)) | v127(constB131, 1))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19645,plain,
% 28.16/18.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB131) | (~v130(constB131, 1)) | v127(constB131, 1)),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19644, 19643])).
% 28.16/18.68 tff(19646,plain,
% 28.16/18.68 ((~v130(constB131, 1)) | v127(constB131, 1)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19645, 855, 19554])).
% 28.16/18.68 tff(19647,plain,
% 28.16/18.68 (v127(constB131, 1)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19646, 19642])).
% 28.16/18.68 tff(19648,plain,
% 28.16/18.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB131, constB132)) | (~v127(constB131, 1)) | v129(constB132, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB131, constB132)) | (~v127(constB131, 1)) | v129(constB132, 1))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19649,plain,
% 28.16/18.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB131, constB132)) | (~v127(constB131, 1)) | v129(constB132, 1))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19650,plain,
% 28.16/18.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB131, constB132)) | (~v127(constB131, 1)) | v129(constB132, 1)),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19649, 19648])).
% 28.16/18.68 tff(19651,plain,
% 28.16/18.68 ((~v127(constB131, 1)) | v129(constB132, 1)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19650, 870, 17351])).
% 28.16/18.68 tff(19652,plain,
% 28.16/18.68 (v129(constB132, 1)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19651, 19647])).
% 28.16/18.68 tff(19653,plain,
% 28.16/18.68 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB132, 1) | (~v129(constB132, 1)) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB132, 1) | (~v129(constB132, 1)) | (~v100(constB132)))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19654,plain,
% 28.16/18.68 ((v90(constB132, 1) | (~v100(constB132)) | (~v129(constB132, 1))) <=> (v90(constB132, 1) | (~v129(constB132, 1)) | (~v100(constB132)))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19655,plain,
% 28.16/18.68 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB132, 1) | (~v100(constB132)) | (~v129(constB132, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB132, 1) | (~v129(constB132, 1)) | (~v100(constB132))))),
% 28.16/18.68 inference(monotonicity,[status(thm)],[19654])).
% 28.16/18.68 tff(19656,plain,
% 28.16/18.68 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB132, 1) | (~v100(constB132)) | (~v129(constB132, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB132, 1) | (~v129(constB132, 1)) | (~v100(constB132)))),
% 28.16/18.68 inference(transitivity,[status(thm)],[19655, 19653])).
% 28.16/18.68 tff(19657,plain,
% 28.16/18.68 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB132, 1) | (~v100(constB132)) | (~v129(constB132, 1)))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19658,plain,
% 28.16/18.68 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB132, 1) | (~v129(constB132, 1)) | (~v100(constB132))),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19657, 19656])).
% 28.16/18.68 tff(19659,plain,
% 28.16/18.68 (v90(constB132, 1) | (~v100(constB132))),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19658, 885, 19652])).
% 28.16/18.68 tff(19660,plain,
% 28.16/18.68 (v90(constB132, 1)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19659, 19603])).
% 28.16/18.68 tff(19661,plain,
% 28.16/18.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB132, 1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB132, 1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 1))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19662,plain,
% 28.16/18.68 (((~nextState(constB132, constB133)) | (~v90(constB132, 1)) | v100(constB133) | v90(constB133, 1)) <=> ((~v90(constB132, 1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 1))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19663,plain,
% 28.16/18.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 1)) | v100(constB133) | v90(constB133, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB132, 1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 1)))),
% 28.16/18.68 inference(monotonicity,[status(thm)],[19662])).
% 28.16/18.68 tff(19664,plain,
% 28.16/18.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 1)) | v100(constB133) | v90(constB133, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB132, 1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 1))),
% 28.16/18.68 inference(transitivity,[status(thm)],[19663, 19661])).
% 28.16/18.68 tff(19665,plain,
% 28.16/18.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 1)) | v100(constB133) | v90(constB133, 1))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19666,plain,
% 28.16/18.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB132, 1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 1)),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19665, 19664])).
% 28.16/18.68 tff(19667,plain,
% 28.16/18.68 ((~v90(constB132, 1)) | v100(constB133) | v90(constB133, 1)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19666, 903, 17278])).
% 28.16/18.68 tff(19668,plain,
% 28.16/18.68 ((~v90(constB132, 1)) | v90(constB133, 1)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19667, 17290])).
% 28.16/18.68 tff(19669,plain,
% 28.16/18.68 (v90(constB133, 1)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19668, 19660])).
% 28.16/18.68 tff(19670,plain,
% 28.16/18.68 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB133)) | (~v90(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB133)) | (~v90(constB133, 1)))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19671,plain,
% 28.16/18.68 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB133)) | (~v90(constB133, 1)))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19672,plain,
% 28.16/18.68 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB133)) | (~v90(constB133, 1))),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19671, 19670])).
% 28.16/18.68 tff(19673,plain,
% 28.16/18.68 (~v119(constB133)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19672, 2086, 19669])).
% 28.16/18.68 tff(19674,plain,
% 28.16/18.68 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB133)) | (~v90(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB133)) | (~v90(constB133, 1)))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19675,plain,
% 28.16/18.68 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB133)) | (~v90(constB133, 1)))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19676,plain,
% 28.16/18.68 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB133)) | (~v90(constB133, 1))),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19675, 19674])).
% 28.16/18.68 tff(19677,plain,
% 28.16/18.68 (~v120(constB133)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19676, 2141, 19669])).
% 28.16/18.68 tff(19678,plain,
% 28.16/18.68 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB133)) | (~v90(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB133)) | (~v90(constB133, 1)))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19679,plain,
% 28.16/18.68 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB133)) | (~v90(constB133, 1)))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19680,plain,
% 28.16/18.68 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB133)) | (~v90(constB133, 1))),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19679, 19678])).
% 28.16/18.68 tff(19681,plain,
% 28.16/18.68 (~v124(constB133)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19680, 2097, 19669])).
% 28.16/18.68 tff(19682,plain,
% 28.16/18.68 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB133)) | (~v90(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB133)) | (~v90(constB133, 1)))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19683,plain,
% 28.16/18.68 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB133)) | (~v90(constB133, 1)))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19684,plain,
% 28.16/18.68 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB133)) | (~v90(constB133, 1))),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19683, 19682])).
% 28.16/18.68 tff(19685,plain,
% 28.16/18.68 (~v123(constB133)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19684, 2108, 19669])).
% 28.16/18.68 tff(19686,plain,
% 28.16/18.68 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB133)) | (~v90(constB133, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB133)) | (~v90(constB133, 2)))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19687,plain,
% 28.16/18.68 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB133)) | (~v90(constB133, 2)))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19688,plain,
% 28.16/18.68 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB133)) | (~v90(constB133, 2))),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19687, 19686])).
% 28.16/18.68 tff(19689,plain,
% 28.16/18.68 (~v121(constB133)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19688, 2130, 19634])).
% 28.16/18.68 tff(19690,plain,
% 28.16/18.68 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 1)))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19691,plain,
% 28.16/18.68 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 1)))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19692,plain,
% 28.16/18.68 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 1))),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19691, 19690])).
% 28.16/18.68 tff(19693,plain,
% 28.16/18.68 (~v130(constB133, 1)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19692, 2214, 19689, 19685, 19681, 19677, 19673, 19638])).
% 28.16/18.68 tff(19694,assumption,(v26(constB133)), introduced(assumption)).
% 28.16/18.68 tff(19695,plain,
% 28.16/18.68 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB133))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19696,plain,
% 28.16/18.68 ($false),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19695, 95, 19694])).
% 28.16/18.68 tff(19697,plain,(~v26(constB133)), inference(lemma,lemma(discharge,[]))).
% 28.16/18.68 tff(19698,plain,
% 28.16/18.68 ((~v127(constB133, 1)) | v130(constB133, 1)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[17219, 541, 19697])).
% 28.16/18.68 tff(19699,plain,
% 28.16/18.68 (~v127(constB133, 1)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19698, 19693])).
% 28.16/18.68 tff(19700,plain,
% 28.16/18.68 (~v129(constB134, 1)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[17183, 19699])).
% 28.16/18.68 tff(19701,plain,
% 28.16/18.68 (~v130(constB131, 0)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[17533, 1967, 19542])).
% 28.16/18.68 tff(19702,plain,
% 28.16/18.68 ((~v127(constB131, 0)) | v130(constB131, 0)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[17528, 933, 19554])).
% 28.16/18.68 tff(19703,plain,
% 28.16/18.68 (~v127(constB131, 0)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19702, 19701])).
% 28.16/18.68 tff(19704,plain,
% 28.16/18.68 (~v129(constB132, 0)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[17520, 19703])).
% 28.16/18.68 tff(19705,plain,
% 28.16/18.68 ((~v90(constB132, 0)) | (~v100(constB132))),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[17514, 966, 19704])).
% 28.16/18.68 tff(19706,plain,
% 28.16/18.68 (~v90(constB132, 0)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19705, 19603])).
% 28.16/18.68 tff(19707,plain,
% 28.16/18.68 (~v90(constB133, 0)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[17315, 19706])).
% 28.16/18.68 tff(19708,assumption,(~v90(constB133, 0)), introduced(assumption)).
% 28.16/18.68 tff(19709,plain,
% 28.16/18.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB132, 0)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB132, 0)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 0))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19710,plain,
% 28.16/18.68 (((~nextState(constB132, constB133)) | (~v90(constB132, 0)) | v100(constB133) | v90(constB133, 0)) <=> ((~v90(constB132, 0)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 0))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19711,plain,
% 28.16/18.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 0)) | v100(constB133) | v90(constB133, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB132, 0)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 0)))),
% 28.16/18.68 inference(monotonicity,[status(thm)],[19710])).
% 28.16/18.68 tff(19712,plain,
% 28.16/18.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 0)) | v100(constB133) | v90(constB133, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB132, 0)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 0))),
% 28.16/18.68 inference(transitivity,[status(thm)],[19711, 19709])).
% 28.16/18.68 tff(19713,plain,
% 28.16/18.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 0)) | v100(constB133) | v90(constB133, 0))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19714,plain,
% 28.16/18.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB132, 0)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 0)),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19713, 19712])).
% 28.16/18.68 tff(19715,plain,
% 28.16/18.68 ((~v90(constB132, 0)) | v100(constB133) | v90(constB133, 0)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19714, 660, 17278])).
% 28.16/18.68 tff(19716,plain,
% 28.16/18.68 ((~v90(constB132, 0)) | v90(constB133, 0)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19715, 17290])).
% 28.16/18.68 tff(19717,plain,
% 28.16/18.68 (~v90(constB132, 0)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19716, 19708])).
% 28.16/18.68 tff(19718,assumption,(~v90(constB134, 0)), introduced(assumption)).
% 28.16/18.68 tff(19719,assumption,(v121(constB133)), introduced(assumption)).
% 28.16/18.68 tff(19720,plain,
% 28.16/18.68 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB133)) | v130(constB133, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB133)) | v130(constB133, 0))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19721,plain,
% 28.16/18.68 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB133)) | v130(constB133, 0))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19722,plain,
% 28.16/18.68 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB133)) | v130(constB133, 0)),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19721, 19720])).
% 28.16/18.68 tff(19723,plain,
% 28.16/18.68 (v130(constB133, 0)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19722, 1099, 19719])).
% 28.16/18.68 tff(19724,plain,
% 28.16/18.68 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB133) | (~v130(constB133, 0)) | v127(constB133, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB133) | (~v130(constB133, 0)) | v127(constB133, 0))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19725,plain,
% 28.16/18.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB133) | (~v130(constB133, 0)) | v127(constB133, 0))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19726,plain,
% 28.16/18.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB133) | (~v130(constB133, 0)) | v127(constB133, 0)),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19725, 19724])).
% 28.16/18.68 tff(19727,plain,
% 28.16/18.68 ((~v130(constB133, 0)) | v127(constB133, 0)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19726, 612, 19697])).
% 28.16/18.68 tff(19728,plain,
% 28.16/18.68 (v127(constB133, 0)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19727, 19723])).
% 28.16/18.68 tff(19729,plain,
% 28.16/18.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB133, constB134)) | (~v127(constB133, 0)) | v129(constB134, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB133, constB134)) | (~v127(constB133, 0)) | v129(constB134, 0))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19730,plain,
% 28.16/18.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB133, constB134)) | (~v127(constB133, 0)) | v129(constB134, 0))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19731,plain,
% 28.16/18.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB133, constB134)) | (~v127(constB133, 0)) | v129(constB134, 0)),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19730, 19729])).
% 28.16/18.68 tff(19732,plain,
% 28.16/18.68 ((~v127(constB133, 0)) | v129(constB134, 0)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19731, 627, 17179])).
% 28.16/18.68 tff(19733,plain,
% 28.16/18.68 (v129(constB134, 0)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19732, 19728])).
% 28.16/18.68 tff(19734,plain,
% 28.16/18.68 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB134, 0) | (~v129(constB134, 0)) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB134, 0) | (~v129(constB134, 0)) | (~v100(constB134)))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19735,plain,
% 28.16/18.68 ((v90(constB134, 0) | (~v100(constB134)) | (~v129(constB134, 0))) <=> (v90(constB134, 0) | (~v129(constB134, 0)) | (~v100(constB134)))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19736,plain,
% 28.16/18.68 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB134, 0) | (~v100(constB134)) | (~v129(constB134, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB134, 0) | (~v129(constB134, 0)) | (~v100(constB134))))),
% 28.16/18.68 inference(monotonicity,[status(thm)],[19735])).
% 28.16/18.68 tff(19737,plain,
% 28.16/18.68 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB134, 0) | (~v100(constB134)) | (~v129(constB134, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB134, 0) | (~v129(constB134, 0)) | (~v100(constB134)))),
% 28.16/18.68 inference(transitivity,[status(thm)],[19736, 19734])).
% 28.16/18.68 tff(19738,plain,
% 28.16/18.68 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB134, 0) | (~v100(constB134)) | (~v129(constB134, 0)))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19739,plain,
% 28.16/18.68 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB134, 0) | (~v129(constB134, 0)) | (~v100(constB134))),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19738, 19737])).
% 28.16/18.68 tff(19740,plain,
% 28.16/18.68 ((~v129(constB134, 0)) | (~v100(constB134))),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19739, 642, 19718])).
% 28.16/18.68 tff(19741,plain,
% 28.16/18.68 (~v100(constB134)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19740, 19733])).
% 28.16/18.68 tff(19742,plain,
% 28.16/18.68 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19743,plain,
% 28.16/18.68 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19744,plain,
% 28.16/18.68 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134))),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19743, 19742])).
% 28.16/18.68 tff(19745,plain,
% 28.16/18.68 (~v104(constB134)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19744, 378, 17179, 17275])).
% 28.16/18.68 tff(19746,plain,
% 28.16/18.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19747,plain,
% 28.16/18.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19748,plain,
% 28.16/18.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB133, constB134)) | v102(constB134) | v104(constB134)),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19747, 19746])).
% 28.16/18.68 tff(19749,plain,
% 28.16/18.68 (v102(constB134) | v104(constB134)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19748, 392, 17179])).
% 28.16/18.68 tff(19750,plain,
% 28.16/18.68 (v102(constB134)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19749, 19745])).
% 28.16/18.68 tff(19751,plain,
% 28.16/18.68 (v1(constB134) <=> v1(constB134)),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19752,axiom,(v1(constB134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_134_1')).
% 28.16/18.68 tff(19753,plain,
% 28.16/18.68 (v1(constB134)),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19752, 19751])).
% 28.16/18.68 tff(19754,plain,
% 28.16/18.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19755,plain,
% 28.16/18.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19756,plain,
% 28.16/18.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134))),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19755, 19754])).
% 28.16/18.68 tff(19757,plain,
% 28.16/18.68 (v101(constB134) | (~v102(constB134))),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19756, 410, 17179, 19753])).
% 28.16/18.68 tff(19758,plain,
% 28.16/18.68 (v101(constB134)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19757, 19750])).
% 28.16/18.68 tff(19759,plain,
% 28.16/18.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19760,plain,
% 28.16/18.68 (((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134)) <=> ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19761,plain,
% 28.16/18.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134))))),
% 28.16/18.68 inference(monotonicity,[status(thm)],[19760])).
% 28.16/18.68 tff(19762,plain,
% 28.16/18.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 28.16/18.68 inference(transitivity,[status(thm)],[19761, 19759])).
% 28.16/18.68 tff(19763,plain,
% 28.16/18.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19764,plain,
% 28.16/18.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134))),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19763, 19762])).
% 28.16/18.68 tff(19765,plain,
% 28.16/18.68 (v100(constB134) | (~v101(constB134)) | (~v110(constB134))),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19764, 425, 17179])).
% 28.16/18.68 tff(19766,plain,
% 28.16/18.68 (v100(constB134) | (~v110(constB134))),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19765, 19758])).
% 28.16/18.68 tff(19767,plain,
% 28.16/18.68 (~v110(constB134)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19766, 19741])).
% 28.16/18.68 tff(19768,plain,
% 28.16/18.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19769,plain,
% 28.16/18.68 (((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134)) <=> ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19770,plain,
% 28.16/18.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133))))),
% 28.16/18.68 inference(monotonicity,[status(thm)],[19769])).
% 28.16/18.68 tff(19771,plain,
% 28.16/18.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 28.16/18.68 inference(transitivity,[status(thm)],[19770, 19768])).
% 28.16/18.68 tff(19772,plain,
% 28.16/18.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))),
% 28.16/18.68 inference(quant_inst,[status(thm)],[])).
% 28.16/18.68 tff(19773,plain,
% 28.16/18.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133))),
% 28.16/18.68 inference(modus_ponens,[status(thm)],[19772, 19771])).
% 28.16/18.68 tff(19774,plain,
% 28.16/18.68 (v110(constB134) | (~v108(constB133))),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19773, 360, 17179])).
% 28.16/18.68 tff(19775,plain,
% 28.16/18.68 (~v108(constB133)),
% 28.16/18.68 inference(unit_resolution,[status(thm)],[19774, 19767])).
% 28.16/18.68 tff(19776,plain,
% 28.16/18.68 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB133) | (~v112(constB133)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB133) | (~v112(constB133)))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.68 tff(19777,plain,
% 28.16/18.68 (((~v112(constB133)) | v108(constB133)) <=> (v108(constB133) | (~v112(constB133)))),
% 28.16/18.68 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19778,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB133)) | v108(constB133))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB133) | (~v112(constB133))))),
% 28.16/18.69 inference(monotonicity,[status(thm)],[19777])).
% 28.16/18.69 tff(19779,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB133)) | v108(constB133))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB133) | (~v112(constB133)))),
% 28.16/18.69 inference(transitivity,[status(thm)],[19778, 19776])).
% 28.16/18.69 tff(19780,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB133)) | v108(constB133))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19781,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB133) | (~v112(constB133))),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19780, 19779])).
% 28.16/18.69 tff(19782,plain,
% 28.16/18.69 (~v112(constB133)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19781, 340, 19775])).
% 28.16/18.69 tff(19783,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | v112(constB133) | (~v113(constB133)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | v112(constB133) | (~v113(constB133)))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19784,plain,
% 28.16/18.69 ((v26(constB133) | (~v113(constB133)) | v112(constB133)) <=> (v26(constB133) | v112(constB133) | (~v113(constB133)))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19785,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | v112(constB133) | (~v113(constB133))))),
% 28.16/18.69 inference(monotonicity,[status(thm)],[19784])).
% 28.16/18.69 tff(19786,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | v112(constB133) | (~v113(constB133)))),
% 28.16/18.69 inference(transitivity,[status(thm)],[19785, 19783])).
% 28.16/18.69 tff(19787,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19788,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | v112(constB133) | (~v113(constB133))),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19787, 19786])).
% 28.16/18.69 tff(19789,plain,
% 28.16/18.69 (v112(constB133) | (~v113(constB133))),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19788, 328, 19697])).
% 28.16/18.69 tff(19790,plain,
% 28.16/18.69 (~v113(constB133)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19789, 19782])).
% 28.16/18.69 tff(19791,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB133) | (~v114(constB133)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB133) | (~v114(constB133)))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19792,plain,
% 28.16/18.69 (((~v114(constB133)) | v113(constB133)) <=> (v113(constB133) | (~v114(constB133)))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19793,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB133)) | v113(constB133))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB133) | (~v114(constB133))))),
% 28.16/18.69 inference(monotonicity,[status(thm)],[19792])).
% 28.16/18.69 tff(19794,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB133)) | v113(constB133))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB133) | (~v114(constB133)))),
% 28.16/18.69 inference(transitivity,[status(thm)],[19793, 19791])).
% 28.16/18.69 tff(19795,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB133)) | v113(constB133))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19796,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB133) | (~v114(constB133))),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19795, 19794])).
% 28.16/18.69 tff(19797,plain,
% 28.16/18.69 (~v114(constB133)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19796, 314, 19790])).
% 28.16/18.69 tff(19798,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB133) | (~v121(constB133)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB133) | (~v121(constB133)))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19799,plain,
% 28.16/18.69 (((~v121(constB133)) | v117(constB133)) <=> (v117(constB133) | (~v121(constB133)))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19800,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB133)) | v117(constB133))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB133) | (~v121(constB133))))),
% 28.16/18.69 inference(monotonicity,[status(thm)],[19799])).
% 28.16/18.69 tff(19801,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB133)) | v117(constB133))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB133) | (~v121(constB133)))),
% 28.16/18.69 inference(transitivity,[status(thm)],[19800, 19798])).
% 28.16/18.69 tff(19802,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB133)) | v117(constB133))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19803,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB133) | (~v121(constB133))),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19802, 19801])).
% 28.16/18.69 tff(19804,plain,
% 28.16/18.69 (v117(constB133)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19803, 1004, 19719])).
% 28.16/18.69 tff(19805,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB133) | (~v117(constB133)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB133) | (~v117(constB133)))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19806,plain,
% 28.16/18.69 (((~v117(constB133)) | v116(constB133)) <=> (v116(constB133) | (~v117(constB133)))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19807,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB133)) | v116(constB133))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB133) | (~v117(constB133))))),
% 28.16/18.69 inference(monotonicity,[status(thm)],[19806])).
% 28.16/18.69 tff(19808,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB133)) | v116(constB133))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB133) | (~v117(constB133)))),
% 28.16/18.69 inference(transitivity,[status(thm)],[19807, 19805])).
% 28.16/18.69 tff(19809,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB133)) | v116(constB133))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19810,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB133) | (~v117(constB133))),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19809, 19808])).
% 28.16/18.69 tff(19811,plain,
% 28.16/18.69 (v116(constB133)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19810, 272, 19804])).
% 28.16/18.69 tff(19812,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB133) | (~v116(constB133)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB133) | (~v116(constB133)))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19813,plain,
% 28.16/18.69 (((~v116(constB133)) | v115(constB133)) <=> (v115(constB133) | (~v116(constB133)))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19814,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB133)) | v115(constB133))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB133) | (~v116(constB133))))),
% 28.16/18.69 inference(monotonicity,[status(thm)],[19813])).
% 28.16/18.69 tff(19815,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB133)) | v115(constB133))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB133) | (~v116(constB133)))),
% 28.16/18.69 inference(transitivity,[status(thm)],[19814, 19812])).
% 28.16/18.69 tff(19816,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB133)) | v115(constB133))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19817,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB133) | (~v116(constB133))),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19816, 19815])).
% 28.16/18.69 tff(19818,plain,
% 28.16/18.69 (v115(constB133)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19817, 286, 19811])).
% 28.16/18.69 tff(19819,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB133) | (~v115(constB133)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB133) | (~v115(constB133)))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19820,plain,
% 28.16/18.69 (((~v115(constB133)) | v114(constB133)) <=> (v114(constB133) | (~v115(constB133)))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19821,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB133)) | v114(constB133))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB133) | (~v115(constB133))))),
% 28.16/18.69 inference(monotonicity,[status(thm)],[19820])).
% 28.16/18.69 tff(19822,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB133)) | v114(constB133))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB133) | (~v115(constB133)))),
% 28.16/18.69 inference(transitivity,[status(thm)],[19821, 19819])).
% 28.16/18.69 tff(19823,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB133)) | v114(constB133))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19824,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB133) | (~v115(constB133))),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19823, 19822])).
% 28.16/18.69 tff(19825,plain,
% 28.16/18.69 ($false),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19824, 300, 19818, 19797])).
% 28.16/18.69 tff(19826,plain,((~v121(constB133)) | v90(constB134, 0)), inference(lemma,lemma(discharge,[]))).
% 28.16/18.69 tff(19827,plain,
% 28.16/18.69 (~v121(constB133)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19826, 19718])).
% 28.16/18.69 tff(19828,assumption,(~v90(constB132, 0)), introduced(assumption)).
% 28.16/18.69 tff(19829,assumption,(~v90(constB132, 2)), introduced(assumption)).
% 28.16/18.69 tff(19830,assumption,(~v90(constB132, 1)), introduced(assumption)).
% 28.16/18.69 tff(19831,assumption,(~v100(constB132)), introduced(assumption)).
% 28.16/18.69 tff(19832,plain,
% 28.16/18.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB131, 2)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB131, 2)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 2))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19833,plain,
% 28.16/18.69 (((~nextState(constB131, constB132)) | (~v90(constB131, 2)) | v100(constB132) | v90(constB132, 2)) <=> ((~v90(constB131, 2)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 2))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19834,plain,
% 28.16/18.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB131, constB132)) | (~v90(constB131, 2)) | v100(constB132) | v90(constB132, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB131, 2)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 2)))),
% 28.16/18.69 inference(monotonicity,[status(thm)],[19833])).
% 28.16/18.69 tff(19835,plain,
% 28.16/18.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB131, constB132)) | (~v90(constB131, 2)) | v100(constB132) | v90(constB132, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB131, 2)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 2))),
% 28.16/18.69 inference(transitivity,[status(thm)],[19834, 19832])).
% 28.16/18.69 tff(19836,plain,
% 28.16/18.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB131, constB132)) | (~v90(constB131, 2)) | v100(constB132) | v90(constB132, 2))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19837,plain,
% 28.16/18.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB131, 2)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 2)),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19836, 19835])).
% 28.16/18.69 tff(19838,plain,
% 28.16/18.69 ((~v90(constB131, 2)) | v100(constB132) | v90(constB132, 2)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19837, 1546, 17351])).
% 28.16/18.69 tff(19839,plain,
% 28.16/18.69 (~v90(constB131, 2)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19838, 19831, 19829])).
% 28.16/18.69 tff(19840,plain,
% 28.16/18.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB131, 1)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB131, 1)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 1))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19841,plain,
% 28.16/18.69 (((~nextState(constB131, constB132)) | (~v90(constB131, 1)) | v100(constB132) | v90(constB132, 1)) <=> ((~v90(constB131, 1)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 1))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19842,plain,
% 28.16/18.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB131, constB132)) | (~v90(constB131, 1)) | v100(constB132) | v90(constB132, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB131, 1)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 1)))),
% 28.16/18.69 inference(monotonicity,[status(thm)],[19841])).
% 28.16/18.69 tff(19843,plain,
% 28.16/18.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB131, constB132)) | (~v90(constB131, 1)) | v100(constB132) | v90(constB132, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB131, 1)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 1))),
% 28.16/18.69 inference(transitivity,[status(thm)],[19842, 19840])).
% 28.16/18.69 tff(19844,plain,
% 28.16/18.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB131, constB132)) | (~v90(constB131, 1)) | v100(constB132) | v90(constB132, 1))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19845,plain,
% 28.16/18.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB131, 1)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 1)),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19844, 19843])).
% 28.16/18.69 tff(19846,plain,
% 28.16/18.69 ((~v90(constB131, 1)) | v100(constB132) | v90(constB132, 1)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19845, 903, 17351])).
% 28.16/18.69 tff(19847,plain,
% 28.16/18.69 (~v90(constB131, 1)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19846, 19831, 19830])).
% 28.16/18.69 tff(19848,plain,
% 28.16/18.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB131, 0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB131, 0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 0))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19849,plain,
% 28.16/18.69 (((~nextState(constB131, constB132)) | (~v90(constB131, 0)) | v100(constB132) | v90(constB132, 0)) <=> ((~v90(constB131, 0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 0))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19850,plain,
% 28.16/18.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB131, constB132)) | (~v90(constB131, 0)) | v100(constB132) | v90(constB132, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB131, 0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 0)))),
% 28.16/18.69 inference(monotonicity,[status(thm)],[19849])).
% 28.16/18.69 tff(19851,plain,
% 28.16/18.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB131, constB132)) | (~v90(constB131, 0)) | v100(constB132) | v90(constB132, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB131, 0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 0))),
% 28.16/18.69 inference(transitivity,[status(thm)],[19850, 19848])).
% 28.16/18.69 tff(19852,plain,
% 28.16/18.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB131, constB132)) | (~v90(constB131, 0)) | v100(constB132) | v90(constB132, 0))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19853,plain,
% 28.16/18.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB131, 0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 0)),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19852, 19851])).
% 28.16/18.69 tff(19854,plain,
% 28.16/18.69 ((~v90(constB131, 0)) | v100(constB132) | v90(constB132, 0)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19853, 660, 17351])).
% 28.16/18.69 tff(19855,plain,
% 28.16/18.69 (~v90(constB131, 0)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19854, 19831, 19828])).
% 28.16/18.69 tff(19856,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB131, 0) | v90(constB131, 1) | v90(constB131, 2) | v119(constB131))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB131, 0) | v90(constB131, 1) | v90(constB131, 2) | v119(constB131))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19857,plain,
% 28.16/18.69 ((v90(constB131, 0) | v119(constB131) | v90(constB131, 1) | v90(constB131, 2)) <=> (v90(constB131, 0) | v90(constB131, 1) | v90(constB131, 2) | v119(constB131))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19858,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB131, 0) | v119(constB131) | v90(constB131, 1) | v90(constB131, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB131, 0) | v90(constB131, 1) | v90(constB131, 2) | v119(constB131)))),
% 28.16/18.69 inference(monotonicity,[status(thm)],[19857])).
% 28.16/18.69 tff(19859,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB131, 0) | v119(constB131) | v90(constB131, 1) | v90(constB131, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB131, 0) | v90(constB131, 1) | v90(constB131, 2) | v119(constB131))),
% 28.16/18.69 inference(transitivity,[status(thm)],[19858, 19856])).
% 28.16/18.69 tff(19860,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB131, 0) | v119(constB131) | v90(constB131, 1) | v90(constB131, 2))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19861,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB131, 0) | v90(constB131, 1) | v90(constB131, 2) | v119(constB131)),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19860, 19859])).
% 28.16/18.69 tff(19862,plain,
% 28.16/18.69 (v119(constB131)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19861, 233, 19855, 19847, 19839])).
% 28.16/18.69 tff(19863,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB131)) | v118(constB131))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB131)) | v118(constB131))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19864,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB131)) | v118(constB131))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19865,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB131)) | v118(constB131)),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19864, 19863])).
% 28.16/18.69 tff(19866,plain,
% 28.16/18.69 (v118(constB131)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19865, 247, 19862])).
% 28.16/18.69 tff(19867,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB131)) | v117(constB131))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB131)) | v117(constB131))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19868,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB131)) | v117(constB131))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19869,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB131)) | v117(constB131)),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19868, 19867])).
% 28.16/18.69 tff(19870,plain,
% 28.16/18.69 (v117(constB131)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19869, 258, 19866])).
% 28.16/18.69 tff(19871,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB131) | (~v117(constB131)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB131) | (~v117(constB131)))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19872,plain,
% 28.16/18.69 (((~v117(constB131)) | v116(constB131)) <=> (v116(constB131) | (~v117(constB131)))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19873,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB131)) | v116(constB131))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB131) | (~v117(constB131))))),
% 28.16/18.69 inference(monotonicity,[status(thm)],[19872])).
% 28.16/18.69 tff(19874,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB131)) | v116(constB131))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB131) | (~v117(constB131)))),
% 28.16/18.69 inference(transitivity,[status(thm)],[19873, 19871])).
% 28.16/18.69 tff(19875,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB131)) | v116(constB131))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19876,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB131) | (~v117(constB131))),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19875, 19874])).
% 28.16/18.69 tff(19877,plain,
% 28.16/18.69 (v116(constB131)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19876, 272, 19870])).
% 28.16/18.69 tff(19878,plain,
% 28.16/18.69 (~v110(constB132)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19602, 19831])).
% 28.16/18.69 tff(19879,plain,
% 28.16/18.69 (~v108(constB131)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19576, 19878])).
% 28.16/18.69 tff(19880,plain,
% 28.16/18.69 (~v112(constB131)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19568, 340, 19879])).
% 28.16/18.69 tff(19881,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB131) | (~v26(constB131)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v26(constB131)))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19882,plain,
% 28.16/18.69 (((~v26(constB131)) | v108(constB131)) <=> (v108(constB131) | (~v26(constB131)))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19883,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB131)) | v108(constB131))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB131) | (~v26(constB131))))),
% 28.16/18.69 inference(monotonicity,[status(thm)],[19882])).
% 28.16/18.69 tff(19884,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB131)) | v108(constB131))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v26(constB131)))),
% 28.16/18.69 inference(transitivity,[status(thm)],[19883, 19881])).
% 28.16/18.69 tff(19885,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB131)) | v108(constB131))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19886,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v26(constB131))),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19885, 19884])).
% 28.16/18.69 tff(19887,plain,
% 28.16/18.69 (~v26(constB131)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19886, 6750, 19879])).
% 28.16/18.69 tff(19888,plain,
% 28.16/18.69 (~v113(constB131)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19560, 328, 19887, 19880])).
% 28.16/18.69 tff(19889,plain,
% 28.16/18.69 (~v114(constB131)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19549, 314, 19888])).
% 28.16/18.69 tff(19890,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB131) | (~v115(constB131)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB131) | (~v115(constB131)))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19891,plain,
% 28.16/18.69 (((~v115(constB131)) | v114(constB131)) <=> (v114(constB131) | (~v115(constB131)))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19892,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB131)) | v114(constB131))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB131) | (~v115(constB131))))),
% 28.16/18.69 inference(monotonicity,[status(thm)],[19891])).
% 28.16/18.69 tff(19893,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB131)) | v114(constB131))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB131) | (~v115(constB131)))),
% 28.16/18.69 inference(transitivity,[status(thm)],[19892, 19890])).
% 28.16/18.69 tff(19894,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB131)) | v114(constB131))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19895,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB131) | (~v115(constB131))),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19894, 19893])).
% 28.16/18.69 tff(19896,plain,
% 28.16/18.69 (~v115(constB131)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19895, 300, 19889])).
% 28.16/18.69 tff(19897,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB131) | (~v116(constB131)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB131) | (~v116(constB131)))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19898,plain,
% 28.16/18.69 (((~v116(constB131)) | v115(constB131)) <=> (v115(constB131) | (~v116(constB131)))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19899,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB131)) | v115(constB131))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB131) | (~v116(constB131))))),
% 28.16/18.69 inference(monotonicity,[status(thm)],[19898])).
% 28.16/18.69 tff(19900,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB131)) | v115(constB131))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB131) | (~v116(constB131)))),
% 28.16/18.69 inference(transitivity,[status(thm)],[19899, 19897])).
% 28.16/18.69 tff(19901,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB131)) | v115(constB131))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19902,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB131) | (~v116(constB131))),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19901, 19900])).
% 28.16/18.69 tff(19903,plain,
% 28.16/18.69 ($false),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19902, 286, 19896, 19877])).
% 28.16/18.69 tff(19904,plain,(v100(constB132) | v90(constB132, 1) | v90(constB132, 2) | v90(constB132, 0)), inference(lemma,lemma(discharge,[]))).
% 28.16/18.69 tff(19905,plain,
% 28.16/18.69 (v100(constB132)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19904, 19830, 19829, 19828])).
% 28.16/18.69 tff(19906,plain,
% 28.16/18.69 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB132, 0) | (~v129(constB132, 0)) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB132, 0) | (~v129(constB132, 0)) | (~v100(constB132)))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19907,plain,
% 28.16/18.69 ((v90(constB132, 0) | (~v100(constB132)) | (~v129(constB132, 0))) <=> (v90(constB132, 0) | (~v129(constB132, 0)) | (~v100(constB132)))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19908,plain,
% 28.16/18.69 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB132, 0) | (~v100(constB132)) | (~v129(constB132, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB132, 0) | (~v129(constB132, 0)) | (~v100(constB132))))),
% 28.16/18.69 inference(monotonicity,[status(thm)],[19907])).
% 28.16/18.69 tff(19909,plain,
% 28.16/18.69 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB132, 0) | (~v100(constB132)) | (~v129(constB132, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB132, 0) | (~v129(constB132, 0)) | (~v100(constB132)))),
% 28.16/18.69 inference(transitivity,[status(thm)],[19908, 19906])).
% 28.16/18.69 tff(19910,plain,
% 28.16/18.69 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB132, 0) | (~v100(constB132)) | (~v129(constB132, 0)))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19911,plain,
% 28.16/18.69 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB132, 0) | (~v129(constB132, 0)) | (~v100(constB132))),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19910, 19909])).
% 28.16/18.69 tff(19912,plain,
% 28.16/18.69 ((~v129(constB132, 0)) | (~v100(constB132))),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19911, 642, 19828])).
% 28.16/18.69 tff(19913,plain,
% 28.16/18.69 (~v129(constB132, 0)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19912, 19905])).
% 28.16/18.69 tff(19914,plain,
% 28.16/18.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB131, constB132)) | (~v127(constB131, 0)) | v129(constB132, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB131, constB132)) | (~v127(constB131, 0)) | v129(constB132, 0))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19915,plain,
% 28.16/18.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB131, constB132)) | (~v127(constB131, 0)) | v129(constB132, 0))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19916,plain,
% 28.16/18.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB131, constB132)) | (~v127(constB131, 0)) | v129(constB132, 0)),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19915, 19914])).
% 28.16/18.69 tff(19917,plain,
% 28.16/18.69 ((~v127(constB131, 0)) | v129(constB132, 0)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19916, 627, 17351])).
% 28.16/18.69 tff(19918,plain,
% 28.16/18.69 (~v127(constB131, 0)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19917, 19913])).
% 28.16/18.69 tff(19919,plain,
% 28.16/18.69 ((~v129(constB132, 2)) | (~v100(constB132))),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19623, 1528, 19829])).
% 28.16/18.69 tff(19920,plain,
% 28.16/18.69 (~v129(constB132, 2)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19919, 19905])).
% 28.16/18.69 tff(19921,plain,
% 28.16/18.69 (~v127(constB131, 2)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19616, 19920])).
% 28.16/18.69 tff(19922,assumption,(~v127(constB131, 2)), introduced(assumption)).
% 28.16/18.69 tff(19923,plain,
% 28.16/18.69 (v26(constB131) | (~v130(constB131, 2))),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19610, 1498, 19922])).
% 28.16/18.69 tff(19924,plain,
% 28.16/18.69 (~v130(constB131, 2)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19923, 17522])).
% 28.16/18.69 tff(19925,plain,
% 28.16/18.69 (~v124(constB131)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19606, 1873, 19924])).
% 28.16/18.69 tff(19926,assumption,(~v127(constB131, 0)), introduced(assumption)).
% 28.16/18.69 tff(19927,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB131) | (~v130(constB131, 0)) | v127(constB131, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB131) | (~v130(constB131, 0)) | v127(constB131, 0))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19928,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB131) | (~v130(constB131, 0)) | v127(constB131, 0))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19929,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB131) | (~v130(constB131, 0)) | v127(constB131, 0)),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19928, 19927])).
% 28.16/18.69 tff(19930,plain,
% 28.16/18.69 (v26(constB131) | (~v130(constB131, 0))),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19929, 612, 19926])).
% 28.16/18.69 tff(19931,plain,
% 28.16/18.69 (~v130(constB131, 0)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19930, 17522])).
% 28.16/18.69 tff(19932,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB131)) | v130(constB131, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB131)) | v130(constB131, 0))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19933,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB131)) | v130(constB131, 0))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19934,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB131)) | v130(constB131, 0)),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19933, 19932])).
% 28.16/18.69 tff(19935,plain,
% 28.16/18.69 (~v123(constB131)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19934, 1753, 19931])).
% 28.16/18.69 tff(19936,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB131)) | v130(constB131, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB131)) | v130(constB131, 2))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19937,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB131)) | v130(constB131, 2))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19938,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB131)) | v130(constB131, 2)),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19937, 19936])).
% 28.16/18.69 tff(19939,plain,
% 28.16/18.69 (~v122(constB131)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19938, 1484, 19924])).
% 28.16/18.69 tff(19940,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB131)) | v130(constB131, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB131)) | v130(constB131, 0))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19941,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB131)) | v130(constB131, 0))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19942,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB131)) | v130(constB131, 0)),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19941, 19940])).
% 28.16/18.69 tff(19943,plain,
% 28.16/18.69 (~v121(constB131)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19942, 1099, 19931])).
% 28.16/18.69 tff(19944,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB131)) | v130(constB131, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB131)) | v130(constB131, 0))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19945,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB131)) | v130(constB131, 0))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19946,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB131)) | v130(constB131, 0)),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19945, 19944])).
% 28.16/18.69 tff(19947,plain,
% 28.16/18.69 (~v119(constB131)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19946, 598, 19931])).
% 28.16/18.69 tff(19948,assumption,(~v127(constB131, 1)), introduced(assumption)).
% 28.16/18.69 tff(19949,plain,
% 28.16/18.69 (v26(constB131) | (~v130(constB131, 1))),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19645, 855, 19948])).
% 28.16/18.69 tff(19950,plain,
% 28.16/18.69 (~v130(constB131, 1)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19949, 17522])).
% 28.16/18.69 tff(19951,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB131)) | v130(constB131, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB131)) | v130(constB131, 1))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19952,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB131)) | v130(constB131, 1))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19953,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB131)) | v130(constB131, 1)),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19952, 19951])).
% 28.16/18.69 tff(19954,plain,
% 28.16/18.69 (~v120(constB131)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19953, 841, 19950])).
% 28.16/18.69 tff(19955,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | v130(constB131, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | v130(constB131, 0))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19956,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | v130(constB131, 0))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19957,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | v130(constB131, 0)),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19956, 19955])).
% 28.16/18.69 tff(19958,plain,
% 28.16/18.69 (v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19957, 2258, 19931])).
% 28.16/18.69 tff(19959,plain,
% 28.16/18.69 ($false),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19958, 19954, 19947, 19943, 19939, 19935, 19925])).
% 28.16/18.69 tff(19960,plain,(v26(constB131) | v127(constB131, 1) | v127(constB131, 2) | v127(constB131, 0)), inference(lemma,lemma(discharge,[]))).
% 28.16/18.69 tff(19961,plain,
% 28.16/18.69 (v127(constB131, 1) | v127(constB131, 2) | v127(constB131, 0)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19960, 19554])).
% 28.16/18.69 tff(19962,plain,
% 28.16/18.69 (v127(constB131, 1)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19961, 19921, 19918])).
% 28.16/18.69 tff(19963,plain,
% 28.16/18.69 (v129(constB132, 1)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19651, 19962])).
% 28.16/18.69 tff(19964,plain,
% 28.16/18.69 ($false),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19658, 885, 19905, 19830, 19963])).
% 28.16/18.69 tff(19965,plain,(v90(constB132, 1) | v90(constB132, 2) | v90(constB132, 0)), inference(lemma,lemma(discharge,[]))).
% 28.16/18.69 tff(19966,plain,
% 28.16/18.69 (v90(constB132, 1)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19965, 19829, 19828])).
% 28.16/18.69 tff(19967,plain,
% 28.16/18.69 (~v90(constB133, 2)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[17298, 19829])).
% 28.16/18.69 tff(19968,assumption,(~v121(constB133)), introduced(assumption)).
% 28.16/18.69 tff(19969,plain,
% 28.16/18.69 (~v90(constB133, 0)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[17315, 19828])).
% 28.16/18.69 tff(19970,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB133, 0) | (~v90(constB133, 1)) | v90(constB133, 2) | v121(constB133))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB133, 0) | (~v90(constB133, 1)) | v90(constB133, 2) | v121(constB133))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19971,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB133, 0) | (~v90(constB133, 1)) | v90(constB133, 2) | v121(constB133))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19972,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB133, 0) | (~v90(constB133, 1)) | v90(constB133, 2) | v121(constB133)),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19971, 19970])).
% 28.16/18.69 tff(19973,plain,
% 28.16/18.69 ((~v90(constB133, 1)) | v90(constB133, 2)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19972, 993, 19969, 19968])).
% 28.16/18.69 tff(19974,plain,
% 28.16/18.69 (~v90(constB133, 1)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19973, 19967])).
% 28.16/18.69 tff(19975,plain,
% 28.16/18.69 ($false),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19668, 19974, 19966])).
% 28.16/18.69 tff(19976,plain,(v90(constB132, 2) | v121(constB133) | v90(constB132, 0)), inference(lemma,lemma(discharge,[]))).
% 28.16/18.69 tff(19977,plain,
% 28.16/18.69 (v90(constB132, 2)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19976, 19827, 19717])).
% 28.16/18.69 tff(19978,plain,
% 28.16/18.69 (v90(constB133, 2)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19633, 19977])).
% 28.16/18.69 tff(19979,plain,
% 28.16/18.69 (~v90(constB135, 0)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[17165, 19718])).
% 28.16/18.69 tff(19980,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB135)) | v90(constB135, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB135)) | v90(constB135, 0))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19981,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB135)) | v90(constB135, 0))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19982,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB135)) | v90(constB135, 0)),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19981, 19980])).
% 28.16/18.69 tff(19983,plain,
% 28.16/18.69 (~v124(constB135)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19982, 4876, 19979])).
% 28.16/18.69 tff(19984,assumption,(v123(constB133)), introduced(assumption)).
% 28.16/18.69 tff(19985,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB133) | (~v123(constB133)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB133) | (~v123(constB133)))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19986,plain,
% 28.16/18.69 (((~v123(constB133)) | v115(constB133)) <=> (v115(constB133) | (~v123(constB133)))),
% 28.16/18.69 inference(rewrite,[status(thm)],[])).
% 28.16/18.69 tff(19987,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB133)) | v115(constB133))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB133) | (~v123(constB133))))),
% 28.16/18.69 inference(monotonicity,[status(thm)],[19986])).
% 28.16/18.69 tff(19988,plain,
% 28.16/18.69 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB133)) | v115(constB133))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB133) | (~v123(constB133)))),
% 28.16/18.69 inference(transitivity,[status(thm)],[19987, 19985])).
% 28.16/18.69 tff(19989,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB133)) | v115(constB133))),
% 28.16/18.69 inference(quant_inst,[status(thm)],[])).
% 28.16/18.69 tff(19990,plain,
% 28.16/18.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB133) | (~v123(constB133))),
% 28.16/18.69 inference(modus_ponens,[status(thm)],[19989, 19988])).
% 28.16/18.69 tff(19991,plain,
% 28.16/18.69 (v115(constB133)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19990, 1579, 19984])).
% 28.16/18.69 tff(19992,plain,
% 28.16/18.69 (v114(constB133)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19824, 300, 19991])).
% 28.16/18.69 tff(19993,plain,
% 28.16/18.69 (v113(constB133)),
% 28.16/18.69 inference(unit_resolution,[status(thm)],[19796, 314, 19992])).
% 28.16/18.69 tff(19994,plain,
% 28.16/18.70 (v112(constB133)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19789, 19993])).
% 28.16/18.70 tff(19995,plain,
% 28.16/18.70 (v108(constB133)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19781, 340, 19994])).
% 28.16/18.70 tff(19996,plain,
% 28.16/18.70 (v110(constB134)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19774, 19995])).
% 28.16/18.70 tff(19997,plain,
% 28.16/18.70 (v100(constB134)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19766, 19996])).
% 28.16/18.70 tff(19998,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB133)) | v130(constB133, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB133)) | v130(constB133, 2))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(19999,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB133)) | v130(constB133, 2))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20000,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB133)) | v130(constB133, 2)),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[19999, 19998])).
% 28.16/18.70 tff(20001,plain,
% 28.16/18.70 (v130(constB133, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20000, 1656, 19984])).
% 28.16/18.70 tff(20002,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB133) | (~v130(constB133, 2)) | v127(constB133, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB133) | (~v130(constB133, 2)) | v127(constB133, 2))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20003,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB133) | (~v130(constB133, 2)) | v127(constB133, 2))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20004,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB133) | (~v130(constB133, 2)) | v127(constB133, 2)),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20003, 20002])).
% 28.16/18.70 tff(20005,plain,
% 28.16/18.70 ((~v130(constB133, 2)) | v127(constB133, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20004, 1498, 19697])).
% 28.16/18.70 tff(20006,plain,
% 28.16/18.70 (v127(constB133, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20005, 20001])).
% 28.16/18.70 tff(20007,plain,
% 28.16/18.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB133, constB134)) | (~v127(constB133, 2)) | v129(constB134, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB133, constB134)) | (~v127(constB133, 2)) | v129(constB134, 2))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20008,plain,
% 28.16/18.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB133, constB134)) | (~v127(constB133, 2)) | v129(constB134, 2))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20009,plain,
% 28.16/18.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB133, constB134)) | (~v127(constB133, 2)) | v129(constB134, 2)),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20008, 20007])).
% 28.16/18.70 tff(20010,plain,
% 28.16/18.70 ((~v127(constB133, 2)) | v129(constB134, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20009, 1513, 17179])).
% 28.16/18.70 tff(20011,plain,
% 28.16/18.70 (v129(constB134, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20010, 20006])).
% 28.16/18.70 tff(20012,plain,
% 28.16/18.70 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB134, 2) | (~v129(constB134, 2)) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB134, 2) | (~v129(constB134, 2)) | (~v100(constB134)))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20013,plain,
% 28.16/18.70 ((v90(constB134, 2) | (~v100(constB134)) | (~v129(constB134, 2))) <=> (v90(constB134, 2) | (~v129(constB134, 2)) | (~v100(constB134)))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20014,plain,
% 28.16/18.70 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB134, 2) | (~v100(constB134)) | (~v129(constB134, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB134, 2) | (~v129(constB134, 2)) | (~v100(constB134))))),
% 28.16/18.70 inference(monotonicity,[status(thm)],[20013])).
% 28.16/18.70 tff(20015,plain,
% 28.16/18.70 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB134, 2) | (~v100(constB134)) | (~v129(constB134, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB134, 2) | (~v129(constB134, 2)) | (~v100(constB134)))),
% 28.16/18.70 inference(transitivity,[status(thm)],[20014, 20012])).
% 28.16/18.70 tff(20016,plain,
% 28.16/18.70 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB134, 2) | (~v100(constB134)) | (~v129(constB134, 2)))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20017,plain,
% 28.16/18.70 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB134, 2) | (~v129(constB134, 2)) | (~v100(constB134))),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20016, 20015])).
% 28.16/18.70 tff(20018,plain,
% 28.16/18.70 (v90(constB134, 2) | (~v100(constB134))),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20017, 1528, 20011])).
% 28.16/18.70 tff(20019,plain,
% 28.16/18.70 (v90(constB134, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20018, 19997])).
% 28.16/18.70 tff(20020,plain,
% 28.16/18.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB134, 2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB134, 2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 2))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20021,plain,
% 28.16/18.70 (((~nextState(constB134, constB135)) | (~v90(constB134, 2)) | v100(constB135) | v90(constB135, 2)) <=> ((~v90(constB134, 2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 2))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20022,plain,
% 28.16/18.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB134, constB135)) | (~v90(constB134, 2)) | v100(constB135) | v90(constB135, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB134, 2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 2)))),
% 28.16/18.70 inference(monotonicity,[status(thm)],[20021])).
% 28.16/18.70 tff(20023,plain,
% 28.16/18.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB134, constB135)) | (~v90(constB134, 2)) | v100(constB135) | v90(constB135, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB134, 2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 2))),
% 28.16/18.70 inference(transitivity,[status(thm)],[20022, 20020])).
% 28.16/18.70 tff(20024,plain,
% 28.16/18.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB134, constB135)) | (~v90(constB134, 2)) | v100(constB135) | v90(constB135, 2))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20025,plain,
% 28.16/18.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB134, 2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 2)),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20024, 20023])).
% 28.16/18.70 tff(20026,plain,
% 28.16/18.70 ((~v90(constB134, 2)) | v100(constB135) | v90(constB135, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20025, 1546, 17126])).
% 28.16/18.70 tff(20027,plain,
% 28.16/18.70 ((~v90(constB134, 2)) | v90(constB135, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20026, 17138])).
% 28.16/18.70 tff(20028,plain,
% 28.16/18.70 (v90(constB135, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20027, 20019])).
% 28.16/18.70 tff(20029,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB133)) | v130(constB133, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB133)) | v130(constB133, 0))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20030,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB133)) | v130(constB133, 0))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20031,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB133)) | v130(constB133, 0)),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20030, 20029])).
% 28.16/18.70 tff(20032,plain,
% 28.16/18.70 (v130(constB133, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20031, 1753, 19984])).
% 28.16/18.70 tff(20033,plain,
% 28.16/18.70 (v127(constB133, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19727, 20032])).
% 28.16/18.70 tff(20034,plain,
% 28.16/18.70 (v129(constB134, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19732, 20033])).
% 28.16/18.70 tff(20035,plain,
% 28.16/18.70 (v90(constB134, 0) | (~v100(constB134))),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19739, 642, 20034])).
% 28.16/18.70 tff(20036,plain,
% 28.16/18.70 (v90(constB134, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20035, 19997])).
% 28.16/18.70 tff(20037,plain,
% 28.16/18.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB134, 0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB134, 0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 0))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20038,plain,
% 28.16/18.70 (((~nextState(constB134, constB135)) | (~v90(constB134, 0)) | v100(constB135) | v90(constB135, 0)) <=> ((~v90(constB134, 0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 0))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20039,plain,
% 28.16/18.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB134, constB135)) | (~v90(constB134, 0)) | v100(constB135) | v90(constB135, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB134, 0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 0)))),
% 28.16/18.70 inference(monotonicity,[status(thm)],[20038])).
% 28.16/18.70 tff(20040,plain,
% 28.16/18.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB134, constB135)) | (~v90(constB134, 0)) | v100(constB135) | v90(constB135, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB134, 0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 0))),
% 28.16/18.70 inference(transitivity,[status(thm)],[20039, 20037])).
% 28.16/18.70 tff(20041,plain,
% 28.16/18.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB134, constB135)) | (~v90(constB134, 0)) | v100(constB135) | v90(constB135, 0))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20042,plain,
% 28.16/18.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB134, 0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 0)),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20041, 20040])).
% 28.16/18.70 tff(20043,plain,
% 28.16/18.70 ((~v90(constB134, 0)) | v100(constB135) | v90(constB135, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20042, 660, 17126])).
% 28.16/18.70 tff(20044,plain,
% 28.16/18.70 ((~v90(constB134, 0)) | v90(constB135, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20043, 17138])).
% 28.16/18.70 tff(20045,plain,
% 28.16/18.70 (v90(constB135, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20044, 20036])).
% 28.16/18.70 tff(20046,plain,
% 28.16/18.70 (~v130(constB133, 1)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[17223, 1712, 19984])).
% 28.16/18.70 tff(20047,plain,
% 28.16/18.70 (~v127(constB133, 1)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19698, 20046])).
% 28.16/18.70 tff(20048,plain,
% 28.16/18.70 (~v129(constB134, 1)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[17183, 20047])).
% 28.16/18.70 tff(20049,plain,
% 28.16/18.70 ((~v90(constB134, 1)) | (~v100(constB134))),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[17174, 574, 20048])).
% 28.16/18.70 tff(20050,plain,
% 28.16/18.70 (~v90(constB134, 1)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20049, 19997])).
% 28.16/18.70 tff(20051,plain,
% 28.16/18.70 (~v90(constB135, 1)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[17155, 20050])).
% 28.16/18.70 tff(20052,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB135, 0)) | v90(constB135, 1) | (~v90(constB135, 2)) | v124(constB135))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB135, 0)) | v90(constB135, 1) | (~v90(constB135, 2)) | v124(constB135))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20053,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB135, 0)) | v90(constB135, 1) | (~v90(constB135, 2)) | v124(constB135))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20054,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB135, 0)) | v90(constB135, 1) | (~v90(constB135, 2)) | v124(constB135)),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20053, 20052])).
% 28.16/18.70 tff(20055,plain,
% 28.16/18.70 ((~v90(constB135, 0)) | v90(constB135, 1) | (~v90(constB135, 2))),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20054, 1794, 17076])).
% 28.16/18.70 tff(20056,plain,
% 28.16/18.70 ($false),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20055, 20051, 20045, 20028])).
% 28.16/18.70 tff(20057,plain,((~v123(constB133)) | v124(constB135)), inference(lemma,lemma(discharge,[]))).
% 28.16/18.70 tff(20058,plain,
% 28.16/18.70 (~v123(constB133)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20057, 19983])).
% 28.16/18.70 tff(20059,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB133, 0) | v90(constB133, 1) | (~v90(constB133, 2)) | v123(constB133))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB133, 0) | v90(constB133, 1) | (~v90(constB133, 2)) | v123(constB133))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20060,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB133, 0) | v90(constB133, 1) | (~v90(constB133, 2)) | v123(constB133))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20061,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB133, 0) | v90(constB133, 1) | (~v90(constB133, 2)) | v123(constB133)),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20060, 20059])).
% 28.16/18.70 tff(20062,plain,
% 28.16/18.70 (v90(constB133, 1) | (~v90(constB133, 2)) | v123(constB133)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20061, 1565, 19708])).
% 28.16/18.70 tff(20063,plain,
% 28.16/18.70 (v90(constB133, 1)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20062, 20058, 19978])).
% 28.16/18.70 tff(20064,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB133, 0) | (~v90(constB133, 1)) | (~v90(constB133, 2)) | v125(constB133))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB133, 0) | (~v90(constB133, 1)) | (~v90(constB133, 2)) | v125(constB133))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20065,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB133, 0) | (~v90(constB133, 1)) | (~v90(constB133, 2)) | v125(constB133))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20066,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB133, 0) | (~v90(constB133, 1)) | (~v90(constB133, 2)) | v125(constB133)),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20065, 20064])).
% 28.16/18.70 tff(20067,plain,
% 28.16/18.70 ((~v90(constB133, 1)) | (~v90(constB133, 2)) | v125(constB133)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20066, 2011, 19708])).
% 28.16/18.70 tff(20068,plain,
% 28.16/18.70 (v125(constB133)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20067, 20063, 19978])).
% 28.16/18.70 tff(20069,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB133) | (~v125(constB133)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB133) | (~v125(constB133)))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20070,plain,
% 28.16/18.70 (((~v125(constB133)) | v113(constB133)) <=> (v113(constB133) | (~v125(constB133)))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20071,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB133)) | v113(constB133))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB133) | (~v125(constB133))))),
% 28.16/18.70 inference(monotonicity,[status(thm)],[20070])).
% 28.16/18.70 tff(20072,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB133)) | v113(constB133))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB133) | (~v125(constB133)))),
% 28.16/18.70 inference(transitivity,[status(thm)],[20071, 20069])).
% 28.16/18.70 tff(20073,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB133)) | v113(constB133))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20074,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB133) | (~v125(constB133))),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20073, 20072])).
% 28.16/18.70 tff(20075,plain,
% 28.16/18.70 (v113(constB133)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20074, 2022, 20068])).
% 28.16/18.70 tff(20076,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB133)) | (~v90(constB133, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB133)) | (~v90(constB133, 2)))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20077,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB133)) | (~v90(constB133, 2)))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20078,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB133)) | (~v90(constB133, 2))),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20077, 20076])).
% 28.16/18.70 tff(20079,plain,
% 28.16/18.70 (~v119(constB133)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20078, 3887, 19978])).
% 28.16/18.70 tff(20080,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB133)) | v90(constB133, 0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB133)) | v90(constB133, 0))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20081,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB133)) | v90(constB133, 0))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20082,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB133)) | v90(constB133, 0)),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20081, 20080])).
% 28.16/18.70 tff(20083,plain,
% 28.16/18.70 (~v120(constB133)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20082, 5047, 19708])).
% 28.16/18.70 tff(20084,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB133)) | v90(constB133, 0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB133)) | v90(constB133, 0))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20085,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB133)) | v90(constB133, 0))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20086,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB133)) | v90(constB133, 0)),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20085, 20084])).
% 28.16/18.70 tff(20087,plain,
% 28.16/18.70 (~v122(constB133)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20086, 3757, 19708])).
% 28.16/18.70 tff(20088,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB133)) | v90(constB133, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB133)) | v90(constB133, 0))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20089,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB133)) | v90(constB133, 0))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20090,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB133)) | v90(constB133, 0)),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20089, 20088])).
% 28.16/18.70 tff(20091,plain,
% 28.16/18.70 (~v124(constB133)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20090, 4876, 19708])).
% 28.16/18.70 tff(20092,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, 0))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20093,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, 0))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20094,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, 0)),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20093, 20092])).
% 28.16/18.70 tff(20095,plain,
% 28.16/18.70 (v119(constB133) | v121(constB133) | v123(constB133) | v130(constB133, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20094, 2258, 20091, 20087, 20083])).
% 28.16/18.70 tff(20096,plain,
% 28.16/18.70 (v130(constB133, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20095, 20058, 19827, 20079])).
% 28.16/18.70 tff(20097,plain,
% 28.16/18.70 (v127(constB133, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19727, 20096])).
% 28.16/18.70 tff(20098,plain,
% 28.16/18.70 (v129(constB134, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19732, 20097])).
% 28.16/18.70 tff(20099,plain,
% 28.16/18.70 (~v100(constB134)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19740, 20098])).
% 28.16/18.70 tff(20100,plain,
% 28.16/18.70 (~v110(constB134)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19766, 20099])).
% 28.16/18.70 tff(20101,plain,
% 28.16/18.70 (~v108(constB133)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19774, 20100])).
% 28.16/18.70 tff(20102,plain,
% 28.16/18.70 (~v112(constB133)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19781, 340, 20101])).
% 28.16/18.70 tff(20103,plain,
% 28.16/18.70 ($false),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19789, 20102, 20075])).
% 28.16/18.70 tff(20104,plain,(v90(constB134, 0) | v90(constB133, 0)), inference(lemma,lemma(discharge,[]))).
% 28.16/18.70 tff(20105,plain,
% 28.16/18.70 (v90(constB134, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20104, 19707])).
% 28.16/18.70 tff(20106,plain,
% 28.16/18.70 (v100(constB134)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[17306, 19707, 20105])).
% 28.16/18.70 tff(20107,plain,
% 28.16/18.70 ((~v90(constB134, 1)) | v129(constB134, 1)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[17174, 574, 20106])).
% 28.16/18.70 tff(20108,plain,
% 28.16/18.70 (~v90(constB134, 1)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20107, 19700])).
% 28.16/18.70 tff(20109,plain,
% 28.16/18.70 (~v90(constB135, 1)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[17155, 20108])).
% 28.16/18.70 tff(20110,plain,
% 28.16/18.70 (~v130(constB133, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[17257, 2155, 19689, 19685, 19681, 19677, 19673, 19638])).
% 28.16/18.70 tff(20111,plain,
% 28.16/18.70 ((~v127(constB133, 2)) | v130(constB133, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[17253, 455, 19697])).
% 28.16/18.70 tff(20112,plain,
% 28.16/18.70 (~v127(constB133, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20111, 20110])).
% 28.16/18.70 tff(20113,plain,
% 28.16/18.70 (~v129(constB134, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[17246, 20112])).
% 28.16/18.70 tff(20114,plain,
% 28.16/18.70 ((~v90(constB134, 2)) | v129(constB134, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[17240, 488, 20106])).
% 28.16/18.70 tff(20115,plain,
% 28.16/18.70 (~v90(constB134, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20114, 20113])).
% 28.16/18.70 tff(20116,plain,
% 28.16/18.70 (~v90(constB135, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[17146, 20115])).
% 28.16/18.70 tff(20117,plain,
% 28.16/18.70 (v90(constB135, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20044, 20105])).
% 28.16/18.70 tff(20118,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB135, 0)) | v90(constB135, 1) | v90(constB135, 2) | v120(constB135))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB135, 0)) | v90(constB135, 1) | v90(constB135, 2) | v120(constB135))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20119,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB135, 0)) | v90(constB135, 1) | v90(constB135, 2) | v120(constB135))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20120,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB135, 0)) | v90(constB135, 1) | v90(constB135, 2) | v120(constB135)),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20119, 20118])).
% 28.16/18.70 tff(20121,plain,
% 28.16/18.70 (v90(constB135, 1) | v90(constB135, 2) | v120(constB135)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20120, 679, 20117])).
% 28.16/18.70 tff(20122,plain,
% 28.16/18.70 (v120(constB135)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20121, 20116, 20109])).
% 28.16/18.70 tff(20123,plain,
% 28.16/18.70 (~v130(constB135, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[16945, 919, 20122])).
% 28.16/18.70 tff(20124,plain,
% 28.16/18.70 (~v127(constB135, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[18095, 20123])).
% 28.16/18.70 tff(20125,plain,
% 28.16/18.70 (~v129(constB136, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[16906, 20124])).
% 28.16/18.70 tff(20126,assumption,(v124(constB131)), introduced(assumption)).
% 28.16/18.70 tff(20127,plain,
% 28.16/18.70 (v114(constB131)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19545, 1805, 20126])).
% 28.16/18.70 tff(20128,plain,
% 28.16/18.70 (v113(constB131)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19549, 314, 20127])).
% 28.16/18.70 tff(20129,plain,
% 28.16/18.70 (v112(constB131)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19561, 20128])).
% 28.16/18.70 tff(20130,plain,
% 28.16/18.70 (v108(constB131)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19568, 340, 20129])).
% 28.16/18.70 tff(20131,plain,
% 28.16/18.70 (v110(constB132)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19576, 20130])).
% 28.16/18.70 tff(20132,plain,
% 28.16/18.70 (v100(constB132)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19602, 20131])).
% 28.16/18.70 tff(20133,plain,
% 28.16/18.70 (v130(constB131, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19606, 1873, 20126])).
% 28.16/18.70 tff(20134,plain,
% 28.16/18.70 (v127(constB131, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19611, 20133])).
% 28.16/18.70 tff(20135,plain,
% 28.16/18.70 (v129(constB132, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19616, 20134])).
% 28.16/18.70 tff(20136,plain,
% 28.16/18.70 (v90(constB132, 2) | (~v100(constB132))),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19623, 1528, 20135])).
% 28.16/18.70 tff(20137,plain,
% 28.16/18.70 (v90(constB132, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20136, 20132])).
% 28.16/18.70 tff(20138,plain,
% 28.16/18.70 (v90(constB133, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19633, 20137])).
% 28.16/18.70 tff(20139,plain,
% 28.16/18.70 (v130(constB131, 1)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19641, 1929, 20126])).
% 28.16/18.70 tff(20140,plain,
% 28.16/18.70 (v127(constB131, 1)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19646, 20139])).
% 28.16/18.70 tff(20141,plain,
% 28.16/18.70 (v129(constB132, 1)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19651, 20140])).
% 28.16/18.70 tff(20142,plain,
% 28.16/18.70 (v90(constB132, 1) | (~v100(constB132))),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19658, 885, 20141])).
% 28.16/18.70 tff(20143,plain,
% 28.16/18.70 (v90(constB132, 1)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20142, 20132])).
% 28.16/18.70 tff(20144,plain,
% 28.16/18.70 (v90(constB133, 1)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19668, 20143])).
% 28.16/18.70 tff(20145,plain,
% 28.16/18.70 (~v130(constB131, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[17533, 1967, 20126])).
% 28.16/18.70 tff(20146,plain,
% 28.16/18.70 (~v127(constB131, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19702, 20145])).
% 28.16/18.70 tff(20147,plain,
% 28.16/18.70 (~v129(constB132, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[17520, 20146])).
% 28.16/18.70 tff(20148,plain,
% 28.16/18.70 ((~v90(constB132, 0)) | (~v100(constB132))),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[17514, 966, 20147])).
% 28.16/18.70 tff(20149,plain,
% 28.16/18.70 (~v90(constB132, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20148, 20132])).
% 28.16/18.70 tff(20150,plain,
% 28.16/18.70 (~v90(constB133, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[17315, 20149])).
% 28.16/18.70 tff(20151,plain,
% 28.16/18.70 (v125(constB133)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20066, 2011, 20150, 20144, 20138])).
% 28.16/18.70 tff(20152,plain,
% 28.16/18.70 (v113(constB133)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20074, 2022, 20151])).
% 28.16/18.70 tff(20153,plain,
% 28.16/18.70 (v112(constB133)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19789, 20152])).
% 28.16/18.70 tff(20154,plain,
% 28.16/18.70 (v108(constB133)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19781, 340, 20153])).
% 28.16/18.70 tff(20155,plain,
% 28.16/18.70 (v110(constB134)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19774, 20154])).
% 28.16/18.70 tff(20156,plain,
% 28.16/18.70 (v100(constB134)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19766, 20155])).
% 28.16/18.70 tff(20157,plain,
% 28.16/18.70 (~v122(constB133)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19637, 2119, 20138])).
% 28.16/18.70 tff(20158,plain,
% 28.16/18.70 (~v119(constB133)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19672, 2086, 20144])).
% 28.16/18.70 tff(20159,plain,
% 28.16/18.70 (~v120(constB133)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19676, 2141, 20144])).
% 28.16/18.70 tff(20160,plain,
% 28.16/18.70 (~v124(constB133)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19680, 2097, 20144])).
% 28.16/18.70 tff(20161,assumption,(~v123(constB133)), introduced(assumption)).
% 28.16/18.70 tff(20162,plain,
% 28.16/18.70 (~v121(constB133)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19688, 2130, 20138])).
% 28.16/18.70 tff(20163,plain,
% 28.16/18.70 (~v130(constB133, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[17257, 2155, 20162, 20161, 20160, 20159, 20158, 20157])).
% 28.16/18.70 tff(20164,plain,
% 28.16/18.70 (~v127(constB133, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20111, 20163])).
% 28.16/18.70 tff(20165,plain,
% 28.16/18.70 (~v129(constB134, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[17246, 20164])).
% 28.16/18.70 tff(20166,plain,
% 28.16/18.70 ((~v90(constB134, 2)) | (~v100(constB134))),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[17240, 488, 20165])).
% 28.16/18.70 tff(20167,plain,
% 28.16/18.70 (~v90(constB134, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20166, 20156])).
% 28.16/18.70 tff(20168,plain,
% 28.16/18.70 (~v90(constB135, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[17146, 20167])).
% 28.16/18.70 tff(20169,plain,
% 28.16/18.70 (v100(constB136)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[17067, 20168, 16963])).
% 28.16/18.70 tff(20170,plain,
% 28.16/18.70 (v129(constB136, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[16967, 20169])).
% 28.16/18.70 tff(20171,plain,
% 28.16/18.70 (v127(constB135, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[16972, 20170])).
% 28.16/18.70 tff(20172,plain,
% 28.16/18.70 ((~v127(constB135, 2)) | v130(constB135, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[16979, 455, 18088])).
% 28.16/18.70 tff(20173,plain,
% 28.16/18.70 (v130(constB135, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20172, 20171])).
% 28.16/18.70 tff(20174,plain,
% 28.16/18.70 (~v130(constB133, 1)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19692, 2214, 20162, 20161, 20160, 20159, 20158, 20157])).
% 28.16/18.70 tff(20175,plain,
% 28.16/18.70 (~v127(constB133, 1)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19698, 20174])).
% 28.16/18.70 tff(20176,plain,
% 28.16/18.70 (~v129(constB134, 1)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[17183, 20175])).
% 28.16/18.70 tff(20177,plain,
% 28.16/18.70 ((~v90(constB134, 1)) | (~v100(constB134))),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[17174, 574, 20176])).
% 28.16/18.70 tff(20178,plain,
% 28.16/18.70 (~v90(constB134, 1)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20177, 20156])).
% 28.16/18.70 tff(20179,plain,
% 28.16/18.70 (~v90(constB135, 1)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[17155, 20178])).
% 28.16/18.70 tff(20180,plain,
% 28.16/18.70 (v130(constB133, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20094, 2258, 20162, 20161, 20160, 20159, 20158, 20157])).
% 28.16/18.70 tff(20181,plain,
% 28.16/18.70 (v127(constB133, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19727, 20180])).
% 28.16/18.70 tff(20182,plain,
% 28.16/18.70 (v129(constB134, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19732, 20181])).
% 28.16/18.70 tff(20183,plain,
% 28.16/18.70 (v90(constB134, 0) | (~v100(constB134))),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[19739, 642, 20182])).
% 28.16/18.70 tff(20184,plain,
% 28.16/18.70 (v90(constB134, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20183, 20156])).
% 28.16/18.70 tff(20185,plain,
% 28.16/18.70 (v90(constB135, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20044, 20184])).
% 28.16/18.70 tff(20186,plain,
% 28.16/18.70 (v120(constB135)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20120, 679, 20185, 20179, 20168])).
% 28.16/18.70 tff(20187,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB135)) | (~v130(constB135, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB135)) | (~v130(constB135, 2)))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20188,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB135)) | (~v130(constB135, 2)))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20189,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB135)) | (~v130(constB135, 2))),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20188, 20187])).
% 28.16/18.70 tff(20190,plain,
% 28.16/18.70 ($false),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20189, 785, 20186, 20173])).
% 28.16/18.70 tff(20191,plain,((~v124(constB131)) | (~v90(constB136, 2)) | v123(constB133)), inference(lemma,lemma(discharge,[]))).
% 28.16/18.70 tff(20192,plain,
% 28.16/18.70 (~v90(constB136, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20191, 19685, 19542])).
% 28.16/18.70 tff(20193,assumption,(~v90(constB136, 2)), introduced(assumption)).
% 28.16/18.70 tff(20194,assumption,(~v100(constB136)), introduced(assumption)).
% 28.16/18.70 tff(20195,plain,
% 28.16/18.70 (~v110(constB136)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[17032, 20194])).
% 28.16/18.70 tff(20196,plain,
% 28.16/18.70 (~v108(constB135)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[17040, 20195])).
% 28.16/18.70 tff(20197,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB135) | (~v112(constB135)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB135) | (~v112(constB135)))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20198,plain,
% 28.16/18.70 (((~v112(constB135)) | v108(constB135)) <=> (v108(constB135) | (~v112(constB135)))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20199,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB135)) | v108(constB135))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB135) | (~v112(constB135))))),
% 28.16/18.70 inference(monotonicity,[status(thm)],[20198])).
% 28.16/18.70 tff(20200,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB135)) | v108(constB135))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB135) | (~v112(constB135)))),
% 28.16/18.70 inference(transitivity,[status(thm)],[20199, 20197])).
% 28.16/18.70 tff(20201,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB135)) | v108(constB135))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20202,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB135) | (~v112(constB135))),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20201, 20200])).
% 28.16/18.70 tff(20203,plain,
% 28.16/18.70 (~v112(constB135)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20202, 340, 20196])).
% 28.16/18.70 tff(20204,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | (~v113(constB135)) | v112(constB135))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB135) | (~v113(constB135)) | v112(constB135))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20205,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | (~v113(constB135)) | v112(constB135))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20206,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB135) | (~v113(constB135)) | v112(constB135)),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20205, 20204])).
% 28.16/18.70 tff(20207,plain,
% 28.16/18.70 ((~v113(constB135)) | v112(constB135)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20206, 328, 17104])).
% 28.16/18.70 tff(20208,plain,
% 28.16/18.70 (~v113(constB135)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20207, 20203])).
% 28.16/18.70 tff(20209,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB135) | (~v114(constB135)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB135) | (~v114(constB135)))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20210,plain,
% 28.16/18.70 (((~v114(constB135)) | v113(constB135)) <=> (v113(constB135) | (~v114(constB135)))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20211,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB135)) | v113(constB135))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB135) | (~v114(constB135))))),
% 28.16/18.70 inference(monotonicity,[status(thm)],[20210])).
% 28.16/18.70 tff(20212,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB135)) | v113(constB135))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB135) | (~v114(constB135)))),
% 28.16/18.70 inference(transitivity,[status(thm)],[20211, 20209])).
% 28.16/18.70 tff(20213,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB135)) | v113(constB135))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20214,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB135) | (~v114(constB135))),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20213, 20212])).
% 28.16/18.70 tff(20215,plain,
% 28.16/18.70 (~v114(constB135)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20214, 314, 20208])).
% 28.16/18.70 tff(20216,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB135) | (~v115(constB135)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB135) | (~v115(constB135)))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20217,plain,
% 28.16/18.70 (((~v115(constB135)) | v114(constB135)) <=> (v114(constB135) | (~v115(constB135)))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20218,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB135)) | v114(constB135))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB135) | (~v115(constB135))))),
% 28.16/18.70 inference(monotonicity,[status(thm)],[20217])).
% 28.16/18.70 tff(20219,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB135)) | v114(constB135))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB135) | (~v115(constB135)))),
% 28.16/18.70 inference(transitivity,[status(thm)],[20218, 20216])).
% 28.16/18.70 tff(20220,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB135)) | v114(constB135))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20221,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB135) | (~v115(constB135))),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20220, 20219])).
% 28.16/18.70 tff(20222,plain,
% 28.16/18.70 (~v115(constB135)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20221, 300, 20215])).
% 28.16/18.70 tff(20223,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB135)) | v115(constB135))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB135)) | v115(constB135))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20224,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB135)) | v115(constB135))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20225,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB135)) | v115(constB135)),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20224, 20223])).
% 28.16/18.70 tff(20226,plain,
% 28.16/18.70 (~v116(constB135)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20225, 286, 20222])).
% 28.16/18.70 tff(20227,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB135) | (~v117(constB135)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB135) | (~v117(constB135)))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20228,plain,
% 28.16/18.70 (((~v117(constB135)) | v116(constB135)) <=> (v116(constB135) | (~v117(constB135)))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20229,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB135)) | v116(constB135))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB135) | (~v117(constB135))))),
% 28.16/18.70 inference(monotonicity,[status(thm)],[20228])).
% 28.16/18.70 tff(20230,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB135)) | v116(constB135))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB135) | (~v117(constB135)))),
% 28.16/18.70 inference(transitivity,[status(thm)],[20229, 20227])).
% 28.16/18.70 tff(20231,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB135)) | v116(constB135))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20232,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB135) | (~v117(constB135))),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20231, 20230])).
% 28.16/18.70 tff(20233,plain,
% 28.16/18.70 (~v117(constB135)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20232, 272, 20226])).
% 28.16/18.70 tff(20234,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB135) | (~v118(constB135)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB135) | (~v118(constB135)))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20235,plain,
% 28.16/18.70 (((~v118(constB135)) | v117(constB135)) <=> (v117(constB135) | (~v118(constB135)))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20236,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB135)) | v117(constB135))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB135) | (~v118(constB135))))),
% 28.16/18.70 inference(monotonicity,[status(thm)],[20235])).
% 28.16/18.70 tff(20237,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB135)) | v117(constB135))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB135) | (~v118(constB135)))),
% 28.16/18.70 inference(transitivity,[status(thm)],[20236, 20234])).
% 28.16/18.70 tff(20238,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB135)) | v117(constB135))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20239,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB135) | (~v118(constB135))),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20238, 20237])).
% 28.16/18.70 tff(20240,plain,
% 28.16/18.70 (~v118(constB135)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20239, 258, 20233])).
% 28.16/18.70 tff(20241,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB135)) | v117(constB135))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB135)) | v117(constB135))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20242,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB135)) | v117(constB135))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20243,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB135)) | v117(constB135)),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20242, 20241])).
% 28.16/18.70 tff(20244,plain,
% 28.16/18.70 (~v121(constB135)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20243, 1004, 20233])).
% 28.16/18.70 tff(20245,plain,
% 28.16/18.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB135, 2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB135, 2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 2))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20246,plain,
% 28.16/18.70 (((~nextState(constB135, constB136)) | (~v90(constB135, 2)) | v100(constB136) | v90(constB136, 2)) <=> ((~v90(constB135, 2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 2))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20247,plain,
% 28.16/18.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB135, constB136)) | (~v90(constB135, 2)) | v100(constB136) | v90(constB136, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB135, 2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 2)))),
% 28.16/18.70 inference(monotonicity,[status(thm)],[20246])).
% 28.16/18.70 tff(20248,plain,
% 28.16/18.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB135, constB136)) | (~v90(constB135, 2)) | v100(constB136) | v90(constB136, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB135, 2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 2))),
% 28.16/18.70 inference(transitivity,[status(thm)],[20247, 20245])).
% 28.16/18.70 tff(20249,plain,
% 28.16/18.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB135, constB136)) | (~v90(constB135, 2)) | v100(constB136) | v90(constB136, 2))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20250,plain,
% 28.16/18.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB135, 2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 2)),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20249, 20248])).
% 28.16/18.70 tff(20251,plain,
% 28.16/18.70 ((~v90(constB135, 2)) | v100(constB136) | v90(constB136, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20250, 1546, 16885])).
% 28.16/18.70 tff(20252,plain,
% 28.16/18.70 (~v90(constB135, 2)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20251, 20194, 20193])).
% 28.16/18.70 tff(20253,assumption,(~v90(constB136, 0)), introduced(assumption)).
% 28.16/18.70 tff(20254,plain,
% 28.16/18.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB135, 0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB135, 0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 0))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20255,plain,
% 28.16/18.70 (((~nextState(constB135, constB136)) | (~v90(constB135, 0)) | v100(constB136) | v90(constB136, 0)) <=> ((~v90(constB135, 0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 0))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20256,plain,
% 28.16/18.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB135, constB136)) | (~v90(constB135, 0)) | v100(constB136) | v90(constB136, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB135, 0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 0)))),
% 28.16/18.70 inference(monotonicity,[status(thm)],[20255])).
% 28.16/18.70 tff(20257,plain,
% 28.16/18.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB135, constB136)) | (~v90(constB135, 0)) | v100(constB136) | v90(constB136, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB135, 0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 0))),
% 28.16/18.70 inference(transitivity,[status(thm)],[20256, 20254])).
% 28.16/18.70 tff(20258,plain,
% 28.16/18.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB135, constB136)) | (~v90(constB135, 0)) | v100(constB136) | v90(constB136, 0))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20259,plain,
% 28.16/18.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB135, 0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 0)),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20258, 20257])).
% 28.16/18.70 tff(20260,plain,
% 28.16/18.70 ((~v90(constB135, 0)) | v100(constB136) | v90(constB136, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20259, 660, 16885])).
% 28.16/18.70 tff(20261,plain,
% 28.16/18.70 (~v90(constB135, 0)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20260, 20194, 20253])).
% 28.16/18.70 tff(20262,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB135, 0) | (~v90(constB135, 1)) | v90(constB135, 2) | v121(constB135))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB135, 0) | (~v90(constB135, 1)) | v90(constB135, 2) | v121(constB135))),
% 28.16/18.70 inference(rewrite,[status(thm)],[])).
% 28.16/18.70 tff(20263,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB135, 0) | (~v90(constB135, 1)) | v90(constB135, 2) | v121(constB135))),
% 28.16/18.70 inference(quant_inst,[status(thm)],[])).
% 28.16/18.70 tff(20264,plain,
% 28.16/18.70 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB135, 0) | (~v90(constB135, 1)) | v90(constB135, 2) | v121(constB135)),
% 28.16/18.70 inference(modus_ponens,[status(thm)],[20263, 20262])).
% 28.16/18.70 tff(20265,plain,
% 28.16/18.70 ((~v90(constB135, 1)) | v121(constB135)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20264, 993, 20261, 20252])).
% 28.16/18.70 tff(20266,plain,
% 28.16/18.70 (~v90(constB135, 1)),
% 28.16/18.70 inference(unit_resolution,[status(thm)],[20265, 20244])).
% 28.16/18.70 tff(20267,plain,
% 28.16/18.70 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB135, 0) | v90(constB135, 1) | v90(constB135, 2) | v119(constB135))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB135, 0) | v90(constB135, 1) | v90(constB135, 2) | v119(constB135))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20268,plain,
% 28.16/18.71 ((v90(constB135, 0) | v119(constB135) | v90(constB135, 1) | v90(constB135, 2)) <=> (v90(constB135, 0) | v90(constB135, 1) | v90(constB135, 2) | v119(constB135))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20269,plain,
% 28.16/18.71 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB135, 0) | v119(constB135) | v90(constB135, 1) | v90(constB135, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB135, 0) | v90(constB135, 1) | v90(constB135, 2) | v119(constB135)))),
% 28.16/18.71 inference(monotonicity,[status(thm)],[20268])).
% 28.16/18.71 tff(20270,plain,
% 28.16/18.71 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB135, 0) | v119(constB135) | v90(constB135, 1) | v90(constB135, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB135, 0) | v90(constB135, 1) | v90(constB135, 2) | v119(constB135))),
% 28.16/18.71 inference(transitivity,[status(thm)],[20269, 20267])).
% 28.16/18.71 tff(20271,plain,
% 28.16/18.71 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB135, 0) | v119(constB135) | v90(constB135, 1) | v90(constB135, 2))),
% 28.16/18.71 inference(quant_inst,[status(thm)],[])).
% 28.16/18.71 tff(20272,plain,
% 28.16/18.71 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB135, 0) | v90(constB135, 1) | v90(constB135, 2) | v119(constB135)),
% 28.16/18.71 inference(modus_ponens,[status(thm)],[20271, 20270])).
% 28.16/18.71 tff(20273,plain,
% 28.16/18.71 (v90(constB135, 1) | v119(constB135)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20272, 233, 20261, 20252])).
% 28.16/18.71 tff(20274,plain,
% 28.16/18.71 (v119(constB135)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20273, 20266])).
% 28.16/18.71 tff(20275,plain,
% 28.16/18.71 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB135) | (~v119(constB135)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB135) | (~v119(constB135)))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20276,plain,
% 28.16/18.71 (((~v119(constB135)) | v118(constB135)) <=> (v118(constB135) | (~v119(constB135)))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20277,plain,
% 28.16/18.71 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB135)) | v118(constB135))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB135) | (~v119(constB135))))),
% 28.16/18.71 inference(monotonicity,[status(thm)],[20276])).
% 28.16/18.71 tff(20278,plain,
% 28.16/18.71 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB135)) | v118(constB135))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB135) | (~v119(constB135)))),
% 28.16/18.71 inference(transitivity,[status(thm)],[20277, 20275])).
% 28.16/18.71 tff(20279,plain,
% 28.16/18.71 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB135)) | v118(constB135))),
% 28.16/18.71 inference(quant_inst,[status(thm)],[])).
% 28.16/18.71 tff(20280,plain,
% 28.16/18.71 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB135) | (~v119(constB135))),
% 28.16/18.71 inference(modus_ponens,[status(thm)],[20279, 20278])).
% 28.16/18.71 tff(20281,plain,
% 28.16/18.71 ($false),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20280, 247, 20274, 20240])).
% 28.16/18.71 tff(20282,plain,(v100(constB136) | v26(constB135) | v90(constB136, 2) | v90(constB136, 0)), inference(lemma,lemma(discharge,[]))).
% 28.16/18.71 tff(20283,plain,
% 28.16/18.71 (v100(constB136) | v90(constB136, 2) | v90(constB136, 0)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20282, 18088])).
% 28.16/18.71 tff(20284,plain,
% 28.16/18.71 (v90(constB136, 0)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20283, 20194, 20193])).
% 28.16/18.71 tff(20285,plain,
% 28.16/18.71 ((~v113(constB135)) | v112(constB135)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20206, 328, 18088])).
% 28.16/18.71 tff(20286,plain,
% 28.16/18.71 (~v113(constB135)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20285, 20203])).
% 28.16/18.71 tff(20287,plain,
% 28.16/18.71 (~v114(constB135)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20214, 314, 20286])).
% 28.16/18.71 tff(20288,assumption,(~v90(constB136, 1)), introduced(assumption)).
% 28.16/18.71 tff(20289,plain,
% 28.16/18.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB135, 1)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB135, 1)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 1))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20290,plain,
% 28.16/18.71 (((~nextState(constB135, constB136)) | (~v90(constB135, 1)) | v100(constB136) | v90(constB136, 1)) <=> ((~v90(constB135, 1)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 1))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20291,plain,
% 28.16/18.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB135, constB136)) | (~v90(constB135, 1)) | v100(constB136) | v90(constB136, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB135, 1)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 1)))),
% 28.16/18.71 inference(monotonicity,[status(thm)],[20290])).
% 28.16/18.71 tff(20292,plain,
% 28.16/18.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB135, constB136)) | (~v90(constB135, 1)) | v100(constB136) | v90(constB136, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB135, 1)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 1))),
% 28.16/18.71 inference(transitivity,[status(thm)],[20291, 20289])).
% 28.16/18.71 tff(20293,plain,
% 28.16/18.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB135, constB136)) | (~v90(constB135, 1)) | v100(constB136) | v90(constB136, 1))),
% 28.16/18.71 inference(quant_inst,[status(thm)],[])).
% 28.16/18.71 tff(20294,plain,
% 28.16/18.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB135, 1)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 1)),
% 28.16/18.71 inference(modus_ponens,[status(thm)],[20293, 20292])).
% 28.16/18.71 tff(20295,plain,
% 28.16/18.71 ((~v90(constB135, 1)) | v100(constB136) | v90(constB136, 1)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20294, 903, 16885])).
% 28.16/18.71 tff(20296,plain,
% 28.16/18.71 (~v90(constB135, 1)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20295, 20194, 20288])).
% 28.16/18.71 tff(20297,plain,
% 28.16/18.71 (v90(constB135, 0)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[17055, 20194, 16894])).
% 28.16/18.71 tff(20298,plain,
% 28.16/18.71 (v120(constB135)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20120, 679, 20297, 20296, 20252])).
% 28.16/18.71 tff(20299,plain,
% 28.16/18.71 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB135) | (~v120(constB135)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB135) | (~v120(constB135)))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20300,plain,
% 28.16/18.71 (((~v120(constB135)) | v118(constB135)) <=> (v118(constB135) | (~v120(constB135)))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20301,plain,
% 28.16/18.71 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB135)) | v118(constB135))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB135) | (~v120(constB135))))),
% 28.16/18.71 inference(monotonicity,[status(thm)],[20300])).
% 28.16/18.71 tff(20302,plain,
% 28.16/18.71 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB135)) | v118(constB135))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB135) | (~v120(constB135)))),
% 28.16/18.71 inference(transitivity,[status(thm)],[20301, 20299])).
% 28.16/18.71 tff(20303,plain,
% 28.16/18.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB135)) | v118(constB135))),
% 28.16/18.71 inference(quant_inst,[status(thm)],[])).
% 28.16/18.71 tff(20304,plain,
% 28.16/18.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB135) | (~v120(constB135))),
% 28.16/18.71 inference(modus_ponens,[status(thm)],[20303, 20302])).
% 28.16/18.71 tff(20305,plain,
% 28.16/18.71 (v118(constB135)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20304, 690, 20298])).
% 28.16/18.71 tff(20306,plain,
% 28.16/18.71 (v117(constB135)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20239, 258, 20305])).
% 28.16/18.71 tff(20307,plain,
% 28.16/18.71 (v116(constB135)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20232, 272, 20306])).
% 28.16/18.71 tff(20308,plain,
% 28.16/18.71 ($false),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20225, 286, 20307, 20222])).
% 28.16/18.71 tff(20309,plain,(v100(constB136) | v26(constB135) | (~v90(constB136, 0)) | v90(constB136, 1) | v90(constB136, 2)), inference(lemma,lemma(discharge,[]))).
% 28.16/18.71 tff(20310,plain,
% 28.16/18.71 (v90(constB136, 1)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20309, 20194, 16894, 18088, 20193])).
% 28.16/18.71 tff(20311,plain,
% 28.16/18.71 (v90(constB135, 1)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[16892, 20310, 20194])).
% 28.16/18.71 tff(20312,plain,
% 28.16/18.71 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB135, 0)) | (~v90(constB135, 1)) | v90(constB135, 2) | v122(constB135))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB135, 0)) | (~v90(constB135, 1)) | v90(constB135, 2) | v122(constB135))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20313,plain,
% 28.16/18.71 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB135, 0)) | (~v90(constB135, 1)) | v90(constB135, 2) | v122(constB135))),
% 28.16/18.71 inference(quant_inst,[status(thm)],[])).
% 28.16/18.71 tff(20314,plain,
% 28.16/18.71 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB135, 0)) | (~v90(constB135, 1)) | v90(constB135, 2) | v122(constB135)),
% 28.16/18.71 inference(modus_ponens,[status(thm)],[20313, 20312])).
% 28.16/18.71 tff(20315,plain,
% 28.16/18.71 (v122(constB135)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20314, 1260, 20297, 20311, 20252])).
% 28.16/18.71 tff(20316,plain,
% 28.16/18.71 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB135)) | v116(constB135))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB135)) | v116(constB135))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20317,plain,
% 28.16/18.71 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB135)) | v116(constB135))),
% 28.16/18.71 inference(quant_inst,[status(thm)],[])).
% 28.16/18.71 tff(20318,plain,
% 28.16/18.71 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB135)) | v116(constB135)),
% 28.16/18.71 inference(modus_ponens,[status(thm)],[20317, 20316])).
% 28.16/18.71 tff(20319,plain,
% 28.16/18.71 (v116(constB135)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20318, 1272, 20315])).
% 28.16/18.71 tff(20320,plain,
% 28.16/18.71 (v115(constB135)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20225, 286, 20319])).
% 28.16/18.71 tff(20321,plain,
% 28.16/18.71 ($false),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20221, 300, 20320, 20287])).
% 28.16/18.71 tff(20322,plain,(v100(constB136) | v90(constB136, 2) | (~v90(constB136, 0))), inference(lemma,lemma(discharge,[]))).
% 28.16/18.71 tff(20323,plain,
% 28.16/18.71 ($false),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20322, 20284, 20194, 20193])).
% 28.16/18.71 tff(20324,plain,(v100(constB136) | v90(constB136, 2)), inference(lemma,lemma(discharge,[]))).
% 28.16/18.71 tff(20325,plain,
% 28.16/18.71 (v100(constB136)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20324, 20192])).
% 28.16/18.71 tff(20326,plain,
% 28.16/18.71 ((~v90(constB136, 0)) | v129(constB136, 0)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[16900, 966, 20325])).
% 28.16/18.71 tff(20327,plain,
% 28.16/18.71 (~v90(constB136, 0)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20326, 20125])).
% 28.16/18.71 tff(20328,plain,
% 28.16/18.71 (~v90(constB137, 0)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[16861, 20327])).
% 28.16/18.71 tff(20329,plain,
% 28.16/18.71 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB135)) | v130(constB135, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB135)) | v130(constB135, 1))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20330,plain,
% 28.16/18.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB135)) | v130(constB135, 1))),
% 28.16/18.71 inference(quant_inst,[status(thm)],[])).
% 28.16/18.71 tff(20331,plain,
% 28.16/18.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB135)) | v130(constB135, 1)),
% 28.16/18.71 inference(modus_ponens,[status(thm)],[20330, 20329])).
% 28.16/18.71 tff(20332,plain,
% 28.16/18.71 (v130(constB135, 1)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20331, 841, 20122])).
% 28.16/18.71 tff(20333,plain,
% 28.16/18.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB135) | (~v130(constB135, 1)) | v127(constB135, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB135) | (~v130(constB135, 1)) | v127(constB135, 1))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20334,plain,
% 28.16/18.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB135) | (~v130(constB135, 1)) | v127(constB135, 1))),
% 28.16/18.71 inference(quant_inst,[status(thm)],[])).
% 28.16/18.71 tff(20335,plain,
% 28.16/18.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB135) | (~v130(constB135, 1)) | v127(constB135, 1)),
% 28.16/18.71 inference(modus_ponens,[status(thm)],[20334, 20333])).
% 28.16/18.71 tff(20336,plain,
% 28.16/18.71 ((~v130(constB135, 1)) | v127(constB135, 1)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20335, 855, 18088])).
% 28.16/18.71 tff(20337,plain,
% 28.16/18.71 (v127(constB135, 1)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20336, 20332])).
% 28.16/18.71 tff(20338,plain,
% 28.16/18.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB135, constB136)) | (~v127(constB135, 1)) | v129(constB136, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB135, constB136)) | (~v127(constB135, 1)) | v129(constB136, 1))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20339,plain,
% 28.16/18.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB135, constB136)) | (~v127(constB135, 1)) | v129(constB136, 1))),
% 28.16/18.71 inference(quant_inst,[status(thm)],[])).
% 28.16/18.71 tff(20340,plain,
% 28.16/18.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB135, constB136)) | (~v127(constB135, 1)) | v129(constB136, 1)),
% 28.16/18.71 inference(modus_ponens,[status(thm)],[20339, 20338])).
% 28.16/18.71 tff(20341,plain,
% 28.16/18.71 ((~v127(constB135, 1)) | v129(constB136, 1)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20340, 870, 16885])).
% 28.16/18.71 tff(20342,plain,
% 28.16/18.71 (v129(constB136, 1)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20341, 20337])).
% 28.16/18.71 tff(20343,plain,
% 28.16/18.71 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB136, 1) | (~v129(constB136, 1)) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB136, 1) | (~v129(constB136, 1)) | (~v100(constB136)))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20344,plain,
% 28.16/18.71 ((v90(constB136, 1) | (~v100(constB136)) | (~v129(constB136, 1))) <=> (v90(constB136, 1) | (~v129(constB136, 1)) | (~v100(constB136)))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20345,plain,
% 28.16/18.71 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB136, 1) | (~v100(constB136)) | (~v129(constB136, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB136, 1) | (~v129(constB136, 1)) | (~v100(constB136))))),
% 28.16/18.71 inference(monotonicity,[status(thm)],[20344])).
% 28.16/18.71 tff(20346,plain,
% 28.16/18.71 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB136, 1) | (~v100(constB136)) | (~v129(constB136, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB136, 1) | (~v129(constB136, 1)) | (~v100(constB136)))),
% 28.16/18.71 inference(transitivity,[status(thm)],[20345, 20343])).
% 28.16/18.71 tff(20347,plain,
% 28.16/18.71 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB136, 1) | (~v100(constB136)) | (~v129(constB136, 1)))),
% 28.16/18.71 inference(quant_inst,[status(thm)],[])).
% 28.16/18.71 tff(20348,plain,
% 28.16/18.71 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB136, 1) | (~v129(constB136, 1)) | (~v100(constB136))),
% 28.16/18.71 inference(modus_ponens,[status(thm)],[20347, 20346])).
% 28.16/18.71 tff(20349,plain,
% 28.16/18.71 (v90(constB136, 1) | (~v129(constB136, 1))),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20348, 885, 20325])).
% 28.16/18.71 tff(20350,plain,
% 28.16/18.71 (v90(constB136, 1)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20349, 20342])).
% 28.16/18.71 tff(20351,plain,
% 28.16/18.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB136, 1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB136, 1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 1))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20352,plain,
% 28.16/18.71 (((~nextState(constB136, constB137)) | (~v90(constB136, 1)) | v100(constB137) | v90(constB137, 1)) <=> ((~v90(constB136, 1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 1))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20353,plain,
% 28.16/18.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB136, constB137)) | (~v90(constB136, 1)) | v100(constB137) | v90(constB137, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB136, 1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 1)))),
% 28.16/18.71 inference(monotonicity,[status(thm)],[20352])).
% 28.16/18.71 tff(20354,plain,
% 28.16/18.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB136, constB137)) | (~v90(constB136, 1)) | v100(constB137) | v90(constB137, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB136, 1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 1))),
% 28.16/18.71 inference(transitivity,[status(thm)],[20353, 20351])).
% 28.16/18.71 tff(20355,plain,
% 28.16/18.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB136, constB137)) | (~v90(constB136, 1)) | v100(constB137) | v90(constB137, 1))),
% 28.16/18.71 inference(quant_inst,[status(thm)],[])).
% 28.16/18.71 tff(20356,plain,
% 28.16/18.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB136, 1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 1)),
% 28.16/18.71 inference(modus_ponens,[status(thm)],[20355, 20354])).
% 28.16/18.71 tff(20357,plain,
% 28.16/18.71 ((~v90(constB136, 1)) | v100(constB137) | v90(constB137, 1)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20356, 903, 16832])).
% 28.16/18.71 tff(20358,plain,
% 28.16/18.71 ((~v90(constB136, 1)) | v90(constB137, 1)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20357, 16844])).
% 28.16/18.71 tff(20359,plain,
% 28.16/18.71 (v90(constB137, 1)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20358, 20350])).
% 28.16/18.71 tff(20360,plain,
% 28.16/18.71 (~v90(constB137, 2)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[16852, 20192])).
% 28.16/18.71 tff(20361,plain,
% 28.16/18.71 (v90(constB137, 0) | (~v90(constB137, 1)) | v121(constB137)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[16766, 993, 20360])).
% 28.16/18.71 tff(20362,plain,
% 28.16/18.71 (v121(constB137)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20361, 20359, 20328])).
% 28.16/18.71 tff(20363,plain,
% 28.16/18.71 (v90(constB138, 0)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[16737, 20362])).
% 28.16/18.71 tff(20364,plain,
% 28.16/18.71 ((~v1(constB139)) <=> (~v1(constB139))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20365,axiom,(~v1(constB139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_139_1_1')).
% 28.16/18.71 tff(20366,plain,
% 28.16/18.71 (~v1(constB139)),
% 28.16/18.71 inference(modus_ponens,[status(thm)],[20365, 20364])).
% 28.16/18.71 tff(20367,plain,
% 28.16/18.71 (nextState(constB138, constB139) <=> nextState(constB138, constB139)),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20368,axiom,(nextState(constB138, constB139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_138_1')).
% 28.16/18.71 tff(20369,plain,
% 28.16/18.71 (nextState(constB138, constB139)),
% 28.16/18.71 inference(modus_ponens,[status(thm)],[20368, 20367])).
% 28.16/18.71 tff(20370,plain,
% 28.16/18.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20371,plain,
% 28.16/18.71 (((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139)) <=> (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20372,plain,
% 28.16/18.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139))))),
% 28.16/18.71 inference(monotonicity,[status(thm)],[20371])).
% 28.16/18.71 tff(20373,plain,
% 28.16/18.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 28.16/18.71 inference(transitivity,[status(thm)],[20372, 20370])).
% 28.16/18.71 tff(20374,plain,
% 28.16/18.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))),
% 28.16/18.71 inference(quant_inst,[status(thm)],[])).
% 28.16/18.71 tff(20375,plain,
% 28.16/18.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139))),
% 28.16/18.71 inference(modus_ponens,[status(thm)],[20374, 20373])).
% 28.16/18.71 tff(20376,plain,
% 28.16/18.71 (~v101(constB139)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20375, 138, 20369, 20366])).
% 28.16/18.71 tff(20377,plain,
% 28.16/18.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20378,plain,
% 28.16/18.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))),
% 28.16/18.71 inference(quant_inst,[status(thm)],[])).
% 28.16/18.71 tff(20379,plain,
% 28.16/18.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139))),
% 28.16/18.71 inference(modus_ponens,[status(thm)],[20378, 20377])).
% 28.16/18.71 tff(20380,plain,
% 28.16/18.71 (v101(constB139) | (~v100(constB139))),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20379, 155, 20369])).
% 28.16/18.71 tff(20381,plain,
% 28.16/18.71 (~v100(constB139)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20380, 20376])).
% 28.16/18.71 tff(20382,plain,
% 28.16/18.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB138, 0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB138, 0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 0))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20383,plain,
% 28.16/18.71 (((~nextState(constB138, constB139)) | (~v90(constB138, 0)) | v100(constB139) | v90(constB139, 0)) <=> ((~v90(constB138, 0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 0))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20384,plain,
% 28.16/18.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB138, constB139)) | (~v90(constB138, 0)) | v100(constB139) | v90(constB139, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB138, 0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 0)))),
% 28.16/18.71 inference(monotonicity,[status(thm)],[20383])).
% 28.16/18.71 tff(20385,plain,
% 28.16/18.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB138, constB139)) | (~v90(constB138, 0)) | v100(constB139) | v90(constB139, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB138, 0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 0))),
% 28.16/18.71 inference(transitivity,[status(thm)],[20384, 20382])).
% 28.16/18.71 tff(20386,plain,
% 28.16/18.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB138, constB139)) | (~v90(constB138, 0)) | v100(constB139) | v90(constB139, 0))),
% 28.16/18.71 inference(quant_inst,[status(thm)],[])).
% 28.16/18.71 tff(20387,plain,
% 28.16/18.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB138, 0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 0)),
% 28.16/18.71 inference(modus_ponens,[status(thm)],[20386, 20385])).
% 28.16/18.71 tff(20388,plain,
% 28.16/18.71 ((~v90(constB138, 0)) | v100(constB139) | v90(constB139, 0)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20387, 660, 20369])).
% 28.16/18.71 tff(20389,plain,
% 28.16/18.71 ((~v90(constB138, 0)) | v90(constB139, 0)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20388, 20381])).
% 28.16/18.71 tff(20390,plain,
% 28.16/18.71 (v90(constB139, 0)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20389, 20363])).
% 28.16/18.71 tff(20391,assumption,(v90(constB139, 0)), introduced(assumption)).
% 28.16/18.71 tff(20392,plain,
% 28.16/18.71 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB137)) | v130(constB137, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB137)) | v130(constB137, 1))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20393,plain,
% 28.16/18.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB137)) | v130(constB137, 1))),
% 28.16/18.71 inference(quant_inst,[status(thm)],[])).
% 28.16/18.71 tff(20394,plain,
% 28.16/18.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB137)) | v130(constB137, 1)),
% 28.16/18.71 inference(modus_ponens,[status(thm)],[20393, 20392])).
% 28.16/18.71 tff(20395,plain,
% 28.16/18.71 (v130(constB137, 1)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20394, 1235, 16687])).
% 28.16/18.71 tff(20396,plain,
% 28.16/18.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB137) | (~v130(constB137, 1)) | v127(constB137, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB137) | (~v130(constB137, 1)) | v127(constB137, 1))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20397,plain,
% 28.16/18.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB137) | (~v130(constB137, 1)) | v127(constB137, 1))),
% 28.16/18.71 inference(quant_inst,[status(thm)],[])).
% 28.16/18.71 tff(20398,plain,
% 28.16/18.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB137) | (~v130(constB137, 1)) | v127(constB137, 1)),
% 28.16/18.71 inference(modus_ponens,[status(thm)],[20397, 20396])).
% 28.16/18.71 tff(20399,plain,
% 28.16/18.71 ((~v130(constB137, 1)) | v127(constB137, 1)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20398, 855, 16662])).
% 28.16/18.71 tff(20400,plain,
% 28.16/18.71 (v127(constB137, 1)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20399, 20395])).
% 28.16/18.71 tff(20401,plain,
% 28.16/18.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB137, constB138)) | (~v127(constB137, 1)) | v129(constB138, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB137, constB138)) | (~v127(constB137, 1)) | v129(constB138, 1))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20402,plain,
% 28.16/18.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB137, constB138)) | (~v127(constB137, 1)) | v129(constB138, 1))),
% 28.16/18.71 inference(quant_inst,[status(thm)],[])).
% 28.16/18.71 tff(20403,plain,
% 28.16/18.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB137, constB138)) | (~v127(constB137, 1)) | v129(constB138, 1)),
% 28.16/18.71 inference(modus_ponens,[status(thm)],[20402, 20401])).
% 28.16/18.71 tff(20404,plain,
% 28.16/18.71 ((~v127(constB137, 1)) | v129(constB138, 1)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20403, 870, 16617])).
% 28.16/18.71 tff(20405,plain,
% 28.16/18.71 (v129(constB138, 1)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20404, 20400])).
% 28.16/18.71 tff(20406,assumption,(v100(constB138)), introduced(assumption)).
% 28.16/18.71 tff(20407,plain,
% 28.16/18.71 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB138, 1) | (~v129(constB138, 1)) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB138, 1) | (~v129(constB138, 1)) | (~v100(constB138)))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20408,plain,
% 28.16/18.71 ((v90(constB138, 1) | (~v100(constB138)) | (~v129(constB138, 1))) <=> (v90(constB138, 1) | (~v129(constB138, 1)) | (~v100(constB138)))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20409,plain,
% 28.16/18.71 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB138, 1) | (~v100(constB138)) | (~v129(constB138, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB138, 1) | (~v129(constB138, 1)) | (~v100(constB138))))),
% 28.16/18.71 inference(monotonicity,[status(thm)],[20408])).
% 28.16/18.71 tff(20410,plain,
% 28.16/18.71 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB138, 1) | (~v100(constB138)) | (~v129(constB138, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB138, 1) | (~v129(constB138, 1)) | (~v100(constB138)))),
% 28.16/18.71 inference(transitivity,[status(thm)],[20409, 20407])).
% 28.16/18.71 tff(20411,plain,
% 28.16/18.71 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB138, 1) | (~v100(constB138)) | (~v129(constB138, 1)))),
% 28.16/18.71 inference(quant_inst,[status(thm)],[])).
% 28.16/18.71 tff(20412,plain,
% 28.16/18.71 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB138, 1) | (~v129(constB138, 1)) | (~v100(constB138))),
% 28.16/18.71 inference(modus_ponens,[status(thm)],[20411, 20410])).
% 28.16/18.71 tff(20413,plain,
% 28.16/18.71 (v90(constB138, 1) | (~v129(constB138, 1))),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20412, 885, 20406])).
% 28.16/18.71 tff(20414,plain,
% 28.16/18.71 (v90(constB138, 1)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20413, 20405])).
% 28.16/18.71 tff(20415,plain,
% 28.16/18.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB138, 1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB138, 1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 1))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20416,plain,
% 28.16/18.71 (((~nextState(constB138, constB139)) | (~v90(constB138, 1)) | v100(constB139) | v90(constB139, 1)) <=> ((~v90(constB138, 1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 1))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20417,plain,
% 28.16/18.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, 1)) | v100(constB139) | v90(constB139, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB138, 1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 1)))),
% 28.16/18.71 inference(monotonicity,[status(thm)],[20416])).
% 28.16/18.71 tff(20418,plain,
% 28.16/18.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, 1)) | v100(constB139) | v90(constB139, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB138, 1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 1))),
% 28.16/18.71 inference(transitivity,[status(thm)],[20417, 20415])).
% 28.16/18.71 tff(20419,plain,
% 28.16/18.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, 1)) | v100(constB139) | v90(constB139, 1))),
% 28.16/18.71 inference(quant_inst,[status(thm)],[])).
% 28.16/18.71 tff(20420,plain,
% 28.16/18.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB138, 1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 1)),
% 28.16/18.71 inference(modus_ponens,[status(thm)],[20419, 20418])).
% 28.16/18.71 tff(20421,plain,
% 28.16/18.71 ((~v90(constB138, 1)) | v100(constB139) | v90(constB139, 1)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20420, 903, 20369])).
% 28.16/18.71 tff(20422,plain,
% 28.16/18.71 ((~v90(constB138, 1)) | v90(constB139, 1)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20421, 20381])).
% 28.16/18.71 tff(20423,plain,
% 28.16/18.71 (v90(constB139, 1)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20422, 20414])).
% 28.16/18.71 tff(20424,plain,
% 28.16/18.71 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB137)) | (~v130(constB137, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB137)) | (~v130(constB137, 2)))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20425,plain,
% 28.16/18.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB137)) | (~v130(constB137, 2)))),
% 28.16/18.71 inference(quant_inst,[status(thm)],[])).
% 28.16/18.71 tff(20426,plain,
% 28.16/18.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB137)) | (~v130(constB137, 2))),
% 28.16/18.71 inference(modus_ponens,[status(thm)],[20425, 20424])).
% 28.16/18.71 tff(20427,plain,
% 28.16/18.71 (~v130(constB137, 2)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20426, 1155, 16687])).
% 28.16/18.71 tff(20428,plain,
% 28.16/18.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB137, 2)) | v26(constB137) | v130(constB137, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB137, 2)) | v26(constB137) | v130(constB137, 2))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20429,plain,
% 28.16/18.71 ((v26(constB137) | v130(constB137, 2) | (~v127(constB137, 2))) <=> ((~v127(constB137, 2)) | v26(constB137) | v130(constB137, 2))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20430,plain,
% 28.16/18.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB137) | v130(constB137, 2) | (~v127(constB137, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB137, 2)) | v26(constB137) | v130(constB137, 2)))),
% 28.16/18.71 inference(monotonicity,[status(thm)],[20429])).
% 28.16/18.71 tff(20431,plain,
% 28.16/18.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB137) | v130(constB137, 2) | (~v127(constB137, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB137, 2)) | v26(constB137) | v130(constB137, 2))),
% 28.16/18.71 inference(transitivity,[status(thm)],[20430, 20428])).
% 28.16/18.71 tff(20432,plain,
% 28.16/18.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB137) | v130(constB137, 2) | (~v127(constB137, 2)))),
% 28.16/18.71 inference(quant_inst,[status(thm)],[])).
% 28.16/18.71 tff(20433,plain,
% 28.16/18.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB137, 2)) | v26(constB137) | v130(constB137, 2)),
% 28.16/18.71 inference(modus_ponens,[status(thm)],[20432, 20431])).
% 28.16/18.71 tff(20434,plain,
% 28.16/18.71 ((~v127(constB137, 2)) | v130(constB137, 2)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20433, 455, 16662])).
% 28.16/18.71 tff(20435,plain,
% 28.16/18.71 (~v127(constB137, 2)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20434, 20427])).
% 28.16/18.71 tff(20436,plain,
% 28.16/18.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB137, constB138)) | v127(constB137, 2) | (~v129(constB138, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB137, constB138)) | v127(constB137, 2) | (~v129(constB138, 2)))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20437,plain,
% 28.16/18.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB137, constB138)) | v127(constB137, 2) | (~v129(constB138, 2)))),
% 28.16/18.71 inference(quant_inst,[status(thm)],[])).
% 28.16/18.71 tff(20438,plain,
% 28.16/18.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB137, constB138)) | v127(constB137, 2) | (~v129(constB138, 2))),
% 28.16/18.71 inference(modus_ponens,[status(thm)],[20437, 20436])).
% 28.16/18.71 tff(20439,plain,
% 28.16/18.71 (v127(constB137, 2) | (~v129(constB138, 2))),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20438, 473, 16617])).
% 28.16/18.71 tff(20440,plain,
% 28.16/18.71 (~v129(constB138, 2)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20439, 20435])).
% 28.16/18.71 tff(20441,plain,
% 28.16/18.71 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB138, 2)) | v129(constB138, 2) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB138, 2)) | v129(constB138, 2) | (~v100(constB138)))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20442,plain,
% 28.16/18.71 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB138, 2)) | v129(constB138, 2) | (~v100(constB138)))),
% 28.16/18.71 inference(quant_inst,[status(thm)],[])).
% 28.16/18.71 tff(20443,plain,
% 28.16/18.71 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB138, 2)) | v129(constB138, 2) | (~v100(constB138))),
% 28.16/18.71 inference(modus_ponens,[status(thm)],[20442, 20441])).
% 28.16/18.71 tff(20444,plain,
% 28.16/18.71 ((~v90(constB138, 2)) | v129(constB138, 2)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20443, 488, 20406])).
% 28.16/18.71 tff(20445,plain,
% 28.16/18.71 (~v90(constB138, 2)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20444, 20440])).
% 28.16/18.71 tff(20446,plain,
% 28.16/18.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB138, 2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB138, 2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 2)))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20447,plain,
% 28.16/18.71 (((~nextState(constB138, constB139)) | v90(constB138, 2) | v100(constB139) | (~v90(constB139, 2))) <=> (v90(constB138, 2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 2)))),
% 28.16/18.71 inference(rewrite,[status(thm)],[])).
% 28.16/18.71 tff(20448,plain,
% 28.16/18.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB138, constB139)) | v90(constB138, 2) | v100(constB139) | (~v90(constB139, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB138, 2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 2))))),
% 28.16/18.71 inference(monotonicity,[status(thm)],[20447])).
% 28.16/18.71 tff(20449,plain,
% 28.16/18.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB138, constB139)) | v90(constB138, 2) | v100(constB139) | (~v90(constB139, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB138, 2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 2)))),
% 28.16/18.71 inference(transitivity,[status(thm)],[20448, 20446])).
% 28.16/18.71 tff(20450,plain,
% 28.16/18.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB138, constB139)) | v90(constB138, 2) | v100(constB139) | (~v90(constB139, 2)))),
% 28.16/18.71 inference(quant_inst,[status(thm)],[])).
% 28.16/18.71 tff(20451,plain,
% 28.16/18.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB138, 2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 2))),
% 28.16/18.71 inference(modus_ponens,[status(thm)],[20450, 20449])).
% 28.16/18.71 tff(20452,plain,
% 28.16/18.71 (v90(constB138, 2) | v100(constB139) | (~v90(constB139, 2))),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20451, 170, 20369])).
% 28.16/18.71 tff(20453,plain,
% 28.16/18.71 (v90(constB138, 2) | (~v90(constB139, 2))),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20452, 20381])).
% 28.16/18.71 tff(20454,plain,
% 28.16/18.71 (~v90(constB139, 2)),
% 28.16/18.71 inference(unit_resolution,[status(thm)],[20453, 20445])).
% 28.16/18.71 tff(20455,assumption,(~v122(constB139)), introduced(assumption)).
% 28.16/18.71 tff(20456,plain,
% 28.16/18.71 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB139, 0)) | (~v90(constB139, 1)) | v90(constB139, 2) | v122(constB139))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB139, 0)) | (~v90(constB139, 1)) | v90(constB139, 2) | v122(constB139))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20457,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB139, 0)) | (~v90(constB139, 1)) | v90(constB139, 2) | v122(constB139))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20458,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB139, 0)) | (~v90(constB139, 1)) | v90(constB139, 2) | v122(constB139)),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20457, 20456])).
% 28.16/18.72 tff(20459,plain,
% 28.16/18.72 ((~v90(constB139, 0)) | (~v90(constB139, 1)) | v90(constB139, 2)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20458, 1260, 20455])).
% 28.16/18.72 tff(20460,plain,
% 28.16/18.72 ($false),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20459, 20454, 20423, 20391])).
% 28.16/18.72 tff(20461,plain,((~v121(constB137)) | (~v90(constB139, 0)) | v122(constB139) | (~v100(constB138))), inference(lemma,lemma(discharge,[]))).
% 28.16/18.72 tff(20462,plain,
% 28.16/18.72 (v122(constB139)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20461, 20390, 20362, 18332])).
% 28.16/18.72 tff(20463,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB139)) | v130(constB139, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB139)) | v130(constB139, 2))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20464,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB139)) | v130(constB139, 2))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20465,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB139)) | v130(constB139, 2)),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20464, 20463])).
% 28.16/18.72 tff(20466,plain,
% 28.16/18.72 (v130(constB139, 2)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20465, 1484, 20462])).
% 28.16/18.72 tff(20467,assumption,(v26(constB139)), introduced(assumption)).
% 28.16/18.72 tff(20468,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB139))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20469,plain,
% 28.16/18.72 ($false),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20468, 95, 20467])).
% 28.16/18.72 tff(20470,plain,(~v26(constB139)), inference(lemma,lemma(discharge,[]))).
% 28.16/18.72 tff(20471,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB139) | (~v130(constB139, 2)) | v127(constB139, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB139) | (~v130(constB139, 2)) | v127(constB139, 2))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20472,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB139) | (~v130(constB139, 2)) | v127(constB139, 2))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20473,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB139) | (~v130(constB139, 2)) | v127(constB139, 2)),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20472, 20471])).
% 28.16/18.72 tff(20474,plain,
% 28.16/18.72 ((~v130(constB139, 2)) | v127(constB139, 2)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20473, 1498, 20470])).
% 28.16/18.72 tff(20475,plain,
% 28.16/18.72 (v127(constB139, 2)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20474, 20466])).
% 28.16/18.72 tff(20476,plain,
% 28.16/18.72 (nextState(constB139, constB140) <=> nextState(constB139, constB140)),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20477,axiom,(nextState(constB139, constB140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_139_1')).
% 28.16/18.72 tff(20478,plain,
% 28.16/18.72 (nextState(constB139, constB140)),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20477, 20476])).
% 28.16/18.72 tff(20479,plain,
% 28.16/18.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB139, constB140)) | (~v127(constB139, 2)) | v129(constB140, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB139, constB140)) | (~v127(constB139, 2)) | v129(constB140, 2))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20480,plain,
% 28.16/18.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB139, constB140)) | (~v127(constB139, 2)) | v129(constB140, 2))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20481,plain,
% 28.16/18.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB139, constB140)) | (~v127(constB139, 2)) | v129(constB140, 2)),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20480, 20479])).
% 28.16/18.72 tff(20482,plain,
% 28.16/18.72 ((~v127(constB139, 2)) | v129(constB140, 2)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20481, 1513, 20478])).
% 28.16/18.72 tff(20483,plain,
% 28.16/18.72 (v129(constB140, 2)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20482, 20475])).
% 28.16/18.72 tff(20484,assumption,(~v113(constB139)), introduced(assumption)).
% 28.16/18.72 tff(20485,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB139) | (~v114(constB139)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB139) | (~v114(constB139)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20486,plain,
% 28.16/18.72 (((~v114(constB139)) | v113(constB139)) <=> (v113(constB139) | (~v114(constB139)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20487,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB139)) | v113(constB139))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB139) | (~v114(constB139))))),
% 28.16/18.72 inference(monotonicity,[status(thm)],[20486])).
% 28.16/18.72 tff(20488,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB139)) | v113(constB139))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB139) | (~v114(constB139)))),
% 28.16/18.72 inference(transitivity,[status(thm)],[20487, 20485])).
% 28.16/18.72 tff(20489,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB139)) | v113(constB139))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20490,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB139) | (~v114(constB139))),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20489, 20488])).
% 28.16/18.72 tff(20491,plain,
% 28.16/18.72 (~v114(constB139)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20490, 314, 20484])).
% 28.16/18.72 tff(20492,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB139) | (~v115(constB139)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB139) | (~v115(constB139)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20493,plain,
% 28.16/18.72 (((~v115(constB139)) | v114(constB139)) <=> (v114(constB139) | (~v115(constB139)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20494,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB139)) | v114(constB139))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB139) | (~v115(constB139))))),
% 28.16/18.72 inference(monotonicity,[status(thm)],[20493])).
% 28.16/18.72 tff(20495,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB139)) | v114(constB139))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB139) | (~v115(constB139)))),
% 28.16/18.72 inference(transitivity,[status(thm)],[20494, 20492])).
% 28.16/18.72 tff(20496,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB139)) | v114(constB139))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20497,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB139) | (~v115(constB139))),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20496, 20495])).
% 28.16/18.72 tff(20498,plain,
% 28.16/18.72 (~v115(constB139)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20497, 300, 20491])).
% 28.16/18.72 tff(20499,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB139) | (~v116(constB139)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB139) | (~v116(constB139)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20500,plain,
% 28.16/18.72 (((~v116(constB139)) | v115(constB139)) <=> (v115(constB139) | (~v116(constB139)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20501,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB139)) | v115(constB139))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB139) | (~v116(constB139))))),
% 28.16/18.72 inference(monotonicity,[status(thm)],[20500])).
% 28.16/18.72 tff(20502,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB139)) | v115(constB139))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB139) | (~v116(constB139)))),
% 28.16/18.72 inference(transitivity,[status(thm)],[20501, 20499])).
% 28.16/18.72 tff(20503,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB139)) | v115(constB139))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20504,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB139) | (~v116(constB139))),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20503, 20502])).
% 28.16/18.72 tff(20505,plain,
% 28.16/18.72 (~v116(constB139)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20504, 286, 20498])).
% 28.16/18.72 tff(20506,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB139) | (~v117(constB139)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB139) | (~v117(constB139)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20507,plain,
% 28.16/18.72 (((~v117(constB139)) | v116(constB139)) <=> (v116(constB139) | (~v117(constB139)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20508,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB139)) | v116(constB139))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB139) | (~v117(constB139))))),
% 28.16/18.72 inference(monotonicity,[status(thm)],[20507])).
% 28.16/18.72 tff(20509,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB139)) | v116(constB139))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB139) | (~v117(constB139)))),
% 28.16/18.72 inference(transitivity,[status(thm)],[20508, 20506])).
% 28.16/18.72 tff(20510,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB139)) | v116(constB139))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20511,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB139) | (~v117(constB139))),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20510, 20509])).
% 28.16/18.72 tff(20512,plain,
% 28.16/18.72 (~v117(constB139)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20511, 272, 20505])).
% 28.16/18.72 tff(20513,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB139) | (~v121(constB139)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB139) | (~v121(constB139)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20514,plain,
% 28.16/18.72 (((~v121(constB139)) | v117(constB139)) <=> (v117(constB139) | (~v121(constB139)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20515,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB139)) | v117(constB139))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB139) | (~v121(constB139))))),
% 28.16/18.72 inference(monotonicity,[status(thm)],[20514])).
% 28.16/18.72 tff(20516,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB139)) | v117(constB139))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB139) | (~v121(constB139)))),
% 28.16/18.72 inference(transitivity,[status(thm)],[20515, 20513])).
% 28.16/18.72 tff(20517,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB139)) | v117(constB139))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20518,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB139) | (~v121(constB139))),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20517, 20516])).
% 28.16/18.72 tff(20519,plain,
% 28.16/18.72 (~v121(constB139)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20518, 1004, 20512])).
% 28.16/18.72 tff(20520,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB139) | (~v123(constB139)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB139) | (~v123(constB139)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20521,plain,
% 28.16/18.72 (((~v123(constB139)) | v115(constB139)) <=> (v115(constB139) | (~v123(constB139)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20522,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB139)) | v115(constB139))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB139) | (~v123(constB139))))),
% 28.16/18.72 inference(monotonicity,[status(thm)],[20521])).
% 28.16/18.72 tff(20523,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB139)) | v115(constB139))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB139) | (~v123(constB139)))),
% 28.16/18.72 inference(transitivity,[status(thm)],[20522, 20520])).
% 28.16/18.72 tff(20524,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB139)) | v115(constB139))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20525,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB139) | (~v123(constB139))),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20524, 20523])).
% 28.16/18.72 tff(20526,plain,
% 28.16/18.72 (~v123(constB139)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20525, 1579, 20498])).
% 28.16/18.72 tff(20527,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB139) | (~v125(constB139)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB139) | (~v125(constB139)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20528,plain,
% 28.16/18.72 (((~v125(constB139)) | v113(constB139)) <=> (v113(constB139) | (~v125(constB139)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20529,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB139)) | v113(constB139))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB139) | (~v125(constB139))))),
% 28.16/18.72 inference(monotonicity,[status(thm)],[20528])).
% 28.16/18.72 tff(20530,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB139)) | v113(constB139))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB139) | (~v125(constB139)))),
% 28.16/18.72 inference(transitivity,[status(thm)],[20529, 20527])).
% 28.16/18.72 tff(20531,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB139)) | v113(constB139))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20532,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB139) | (~v125(constB139))),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20531, 20530])).
% 28.16/18.72 tff(20533,plain,
% 28.16/18.72 (~v125(constB139)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20532, 2022, 20484])).
% 28.16/18.72 tff(20534,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB139) | (~v118(constB139)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB139) | (~v118(constB139)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20535,plain,
% 28.16/18.72 (((~v118(constB139)) | v117(constB139)) <=> (v117(constB139) | (~v118(constB139)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20536,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB139)) | v117(constB139))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB139) | (~v118(constB139))))),
% 28.16/18.72 inference(monotonicity,[status(thm)],[20535])).
% 28.16/18.72 tff(20537,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB139)) | v117(constB139))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB139) | (~v118(constB139)))),
% 28.16/18.72 inference(transitivity,[status(thm)],[20536, 20534])).
% 28.16/18.72 tff(20538,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB139)) | v117(constB139))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20539,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB139) | (~v118(constB139))),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20538, 20537])).
% 28.16/18.72 tff(20540,plain,
% 28.16/18.72 (~v118(constB139)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20539, 258, 20512])).
% 28.16/18.72 tff(20541,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB139) | (~v119(constB139)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB139) | (~v119(constB139)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20542,plain,
% 28.16/18.72 (((~v119(constB139)) | v118(constB139)) <=> (v118(constB139) | (~v119(constB139)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20543,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB139)) | v118(constB139))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB139) | (~v119(constB139))))),
% 28.16/18.72 inference(monotonicity,[status(thm)],[20542])).
% 28.16/18.72 tff(20544,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB139)) | v118(constB139))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB139) | (~v119(constB139)))),
% 28.16/18.72 inference(transitivity,[status(thm)],[20543, 20541])).
% 28.16/18.72 tff(20545,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB139)) | v118(constB139))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20546,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB139) | (~v119(constB139))),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20545, 20544])).
% 28.16/18.72 tff(20547,plain,
% 28.16/18.72 (~v119(constB139)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20546, 247, 20540])).
% 28.16/18.72 tff(20548,assumption,(~v90(constB139, 0)), introduced(assumption)).
% 28.16/18.72 tff(20549,assumption,(~v121(constB139)), introduced(assumption)).
% 28.16/18.72 tff(20550,assumption,(~v119(constB139)), introduced(assumption)).
% 28.16/18.72 tff(20551,assumption,(~v90(constB139, 2)), introduced(assumption)).
% 28.16/18.72 tff(20552,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB139, 0) | (~v90(constB139, 1)) | v90(constB139, 2) | v121(constB139))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB139, 0) | (~v90(constB139, 1)) | v90(constB139, 2) | v121(constB139))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20553,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB139, 0) | (~v90(constB139, 1)) | v90(constB139, 2) | v121(constB139))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20554,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB139, 0) | (~v90(constB139, 1)) | v90(constB139, 2) | v121(constB139)),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20553, 20552])).
% 28.16/18.72 tff(20555,plain,
% 28.16/18.72 (v90(constB139, 0) | (~v90(constB139, 1)) | v90(constB139, 2)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20554, 993, 20549])).
% 28.16/18.72 tff(20556,plain,
% 28.16/18.72 (~v90(constB139, 1)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20555, 20551, 20548])).
% 28.16/18.72 tff(20557,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB139, 0) | v90(constB139, 1) | v90(constB139, 2) | v119(constB139))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB139, 0) | v90(constB139, 1) | v90(constB139, 2) | v119(constB139))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20558,plain,
% 28.16/18.72 ((v90(constB139, 0) | v119(constB139) | v90(constB139, 1) | v90(constB139, 2)) <=> (v90(constB139, 0) | v90(constB139, 1) | v90(constB139, 2) | v119(constB139))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20559,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB139, 0) | v119(constB139) | v90(constB139, 1) | v90(constB139, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB139, 0) | v90(constB139, 1) | v90(constB139, 2) | v119(constB139)))),
% 28.16/18.72 inference(monotonicity,[status(thm)],[20558])).
% 28.16/18.72 tff(20560,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB139, 0) | v119(constB139) | v90(constB139, 1) | v90(constB139, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB139, 0) | v90(constB139, 1) | v90(constB139, 2) | v119(constB139))),
% 28.16/18.72 inference(transitivity,[status(thm)],[20559, 20557])).
% 28.16/18.72 tff(20561,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB139, 0) | v119(constB139) | v90(constB139, 1) | v90(constB139, 2))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20562,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB139, 0) | v90(constB139, 1) | v90(constB139, 2) | v119(constB139)),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20561, 20560])).
% 28.16/18.72 tff(20563,plain,
% 28.16/18.72 (v90(constB139, 0) | v90(constB139, 1) | v90(constB139, 2)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20562, 233, 20550])).
% 28.16/18.72 tff(20564,plain,
% 28.16/18.72 ($false),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20563, 20556, 20551, 20548])).
% 28.16/18.72 tff(20565,plain,(v90(constB139, 2) | v90(constB139, 0) | v119(constB139) | v121(constB139)), inference(lemma,lemma(discharge,[]))).
% 28.16/18.72 tff(20566,plain,
% 28.16/18.72 (v90(constB139, 2)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20565, 20548, 20550, 20549])).
% 28.16/18.72 tff(20567,assumption,(~v125(constB139)), introduced(assumption)).
% 28.16/18.72 tff(20568,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB139, 0) | (~v90(constB139, 1)) | (~v90(constB139, 2)) | v125(constB139))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB139, 0) | (~v90(constB139, 1)) | (~v90(constB139, 2)) | v125(constB139))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20569,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB139, 0) | (~v90(constB139, 1)) | (~v90(constB139, 2)) | v125(constB139))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20570,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB139, 0) | (~v90(constB139, 1)) | (~v90(constB139, 2)) | v125(constB139)),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20569, 20568])).
% 28.16/18.72 tff(20571,plain,
% 28.16/18.72 (v90(constB139, 0) | (~v90(constB139, 1)) | (~v90(constB139, 2))),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20570, 2011, 20567])).
% 28.16/18.72 tff(20572,plain,
% 28.16/18.72 (~v90(constB139, 1)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20571, 20566, 20548])).
% 28.16/18.72 tff(20573,assumption,(~v123(constB139)), introduced(assumption)).
% 28.16/18.72 tff(20574,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB139, 0) | v90(constB139, 1) | (~v90(constB139, 2)) | v123(constB139))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB139, 0) | v90(constB139, 1) | (~v90(constB139, 2)) | v123(constB139))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20575,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB139, 0) | v90(constB139, 1) | (~v90(constB139, 2)) | v123(constB139))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20576,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB139, 0) | v90(constB139, 1) | (~v90(constB139, 2)) | v123(constB139)),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20575, 20574])).
% 28.16/18.72 tff(20577,plain,
% 28.16/18.72 (v90(constB139, 0) | v90(constB139, 1) | (~v90(constB139, 2))),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20576, 1565, 20573])).
% 28.16/18.72 tff(20578,plain,
% 28.16/18.72 ($false),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20577, 20572, 20566, 20548])).
% 28.16/18.72 tff(20579,plain,(v90(constB139, 0) | v123(constB139) | v125(constB139) | v119(constB139) | v121(constB139)), inference(lemma,lemma(discharge,[]))).
% 28.16/18.72 tff(20580,plain,
% 28.16/18.72 (v90(constB139, 0)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20579, 20547, 20533, 20526, 20519])).
% 28.16/18.72 tff(20581,plain,
% 28.16/18.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB138, 0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB138, 0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 0)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20582,plain,
% 28.16/18.72 (((~nextState(constB138, constB139)) | v90(constB138, 0) | v100(constB139) | (~v90(constB139, 0))) <=> (v90(constB138, 0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 0)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20583,plain,
% 28.16/18.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB138, constB139)) | v90(constB138, 0) | v100(constB139) | (~v90(constB139, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB138, 0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 0))))),
% 28.16/18.72 inference(monotonicity,[status(thm)],[20582])).
% 28.16/18.72 tff(20584,plain,
% 28.16/18.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB138, constB139)) | v90(constB138, 0) | v100(constB139) | (~v90(constB139, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB138, 0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 0)))),
% 28.16/18.72 inference(transitivity,[status(thm)],[20583, 20581])).
% 28.16/18.72 tff(20585,plain,
% 28.16/18.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB138, constB139)) | v90(constB138, 0) | v100(constB139) | (~v90(constB139, 0)))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20586,plain,
% 28.16/18.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB138, 0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 0))),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20585, 20584])).
% 28.16/18.72 tff(20587,plain,
% 28.16/18.72 (v90(constB138, 0) | v100(constB139) | (~v90(constB139, 0))),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20586, 212, 20369])).
% 28.16/18.72 tff(20588,plain,
% 28.16/18.72 (v90(constB138, 0) | (~v90(constB139, 0))),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20587, 20381])).
% 28.16/18.72 tff(20589,plain,
% 28.16/18.72 (v90(constB138, 0)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20588, 20580])).
% 28.16/18.72 tff(20590,plain,
% 28.16/18.72 (v100(constB138)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[17602, 20589, 17334])).
% 28.16/18.72 tff(20591,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB139) | (~v120(constB139)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB139) | (~v120(constB139)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20592,plain,
% 28.16/18.72 (((~v120(constB139)) | v118(constB139)) <=> (v118(constB139) | (~v120(constB139)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20593,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB139)) | v118(constB139))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB139) | (~v120(constB139))))),
% 28.16/18.72 inference(monotonicity,[status(thm)],[20592])).
% 28.16/18.72 tff(20594,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB139)) | v118(constB139))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB139) | (~v120(constB139)))),
% 28.16/18.72 inference(transitivity,[status(thm)],[20593, 20591])).
% 28.16/18.72 tff(20595,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB139)) | v118(constB139))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20596,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB139) | (~v120(constB139))),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20595, 20594])).
% 28.16/18.72 tff(20597,plain,
% 28.16/18.72 (~v120(constB139)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20596, 690, 20540])).
% 28.16/18.72 tff(20598,assumption,(v119(constB137)), introduced(assumption)).
% 28.16/18.72 tff(20599,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB137)) | (~v130(constB137, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB137)) | (~v130(constB137, 1)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20600,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB137)) | (~v130(constB137, 1)))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20601,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB137)) | (~v130(constB137, 1))),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20600, 20599])).
% 28.16/18.72 tff(20602,plain,
% 28.16/18.72 (~v130(constB137, 1)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20601, 527, 20598])).
% 28.16/18.72 tff(20603,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB137, 1)) | v26(constB137) | v130(constB137, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB137, 1)) | v26(constB137) | v130(constB137, 1))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20604,plain,
% 28.16/18.72 ((v26(constB137) | v130(constB137, 1) | (~v127(constB137, 1))) <=> ((~v127(constB137, 1)) | v26(constB137) | v130(constB137, 1))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20605,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB137) | v130(constB137, 1) | (~v127(constB137, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB137, 1)) | v26(constB137) | v130(constB137, 1)))),
% 28.16/18.72 inference(monotonicity,[status(thm)],[20604])).
% 28.16/18.72 tff(20606,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB137) | v130(constB137, 1) | (~v127(constB137, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB137, 1)) | v26(constB137) | v130(constB137, 1))),
% 28.16/18.72 inference(transitivity,[status(thm)],[20605, 20603])).
% 28.16/18.72 tff(20607,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB137) | v130(constB137, 1) | (~v127(constB137, 1)))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20608,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB137, 1)) | v26(constB137) | v130(constB137, 1)),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20607, 20606])).
% 28.16/18.72 tff(20609,plain,
% 28.16/18.72 ((~v127(constB137, 1)) | v130(constB137, 1)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20608, 541, 16662])).
% 28.16/18.72 tff(20610,plain,
% 28.16/18.72 (~v127(constB137, 1)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20609, 20602])).
% 28.16/18.72 tff(20611,plain,
% 28.16/18.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB137, constB138)) | v127(constB137, 1) | (~v129(constB138, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB137, constB138)) | v127(constB137, 1) | (~v129(constB138, 1)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20612,plain,
% 28.16/18.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB137, constB138)) | v127(constB137, 1) | (~v129(constB138, 1)))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20613,plain,
% 28.16/18.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB137, constB138)) | v127(constB137, 1) | (~v129(constB138, 1))),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20612, 20611])).
% 28.16/18.72 tff(20614,plain,
% 28.16/18.72 (v127(constB137, 1) | (~v129(constB138, 1))),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20613, 559, 16617])).
% 28.16/18.72 tff(20615,plain,
% 28.16/18.72 (~v129(constB138, 1)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20614, 20610])).
% 28.16/18.72 tff(20616,plain,
% 28.16/18.72 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB138, 1)) | v129(constB138, 1) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB138, 1)) | v129(constB138, 1) | (~v100(constB138)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20617,plain,
% 28.16/18.72 (((~v90(constB138, 1)) | (~v100(constB138)) | v129(constB138, 1)) <=> ((~v90(constB138, 1)) | v129(constB138, 1) | (~v100(constB138)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20618,plain,
% 28.16/18.72 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB138, 1)) | (~v100(constB138)) | v129(constB138, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB138, 1)) | v129(constB138, 1) | (~v100(constB138))))),
% 28.16/18.72 inference(monotonicity,[status(thm)],[20617])).
% 28.16/18.72 tff(20619,plain,
% 28.16/18.72 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB138, 1)) | (~v100(constB138)) | v129(constB138, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB138, 1)) | v129(constB138, 1) | (~v100(constB138)))),
% 28.16/18.72 inference(transitivity,[status(thm)],[20618, 20616])).
% 28.16/18.72 tff(20620,plain,
% 28.16/18.72 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB138, 1)) | (~v100(constB138)) | v129(constB138, 1))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20621,plain,
% 28.16/18.72 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB138, 1)) | v129(constB138, 1) | (~v100(constB138))),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20620, 20619])).
% 28.16/18.72 tff(20622,plain,
% 28.16/18.72 ((~v90(constB138, 1)) | v129(constB138, 1)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20621, 574, 20406])).
% 28.16/18.72 tff(20623,plain,
% 28.16/18.72 (~v90(constB138, 1)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20622, 20615])).
% 28.16/18.72 tff(20624,plain,
% 28.16/18.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB138, 1) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB138, 1) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 1)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20625,plain,
% 28.16/18.72 (((~nextState(constB138, constB139)) | v90(constB138, 1) | v100(constB139) | (~v90(constB139, 1))) <=> (v90(constB138, 1) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 1)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20626,plain,
% 28.16/18.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB138, constB139)) | v90(constB138, 1) | v100(constB139) | (~v90(constB139, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB138, 1) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 1))))),
% 28.16/18.72 inference(monotonicity,[status(thm)],[20625])).
% 28.16/18.72 tff(20627,plain,
% 28.16/18.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB138, constB139)) | v90(constB138, 1) | v100(constB139) | (~v90(constB139, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB138, 1) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 1)))),
% 28.16/18.72 inference(transitivity,[status(thm)],[20626, 20624])).
% 28.16/18.72 tff(20628,plain,
% 28.16/18.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB138, constB139)) | v90(constB138, 1) | v100(constB139) | (~v90(constB139, 1)))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20629,plain,
% 28.16/18.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB138, 1) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 1))),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20628, 20627])).
% 28.16/18.72 tff(20630,plain,
% 28.16/18.72 (v90(constB138, 1) | v100(constB139) | (~v90(constB139, 1))),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20629, 191, 20369])).
% 28.16/18.72 tff(20631,plain,
% 28.16/18.72 (v90(constB138, 1) | (~v90(constB139, 1))),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20630, 20381])).
% 28.16/18.72 tff(20632,plain,
% 28.16/18.72 (~v90(constB139, 1)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20631, 20623])).
% 28.16/18.72 tff(20633,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB137)) | (~v130(constB137, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB137)) | (~v130(constB137, 2)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20634,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB137)) | (~v130(constB137, 2)))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20635,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB137)) | (~v130(constB137, 2))),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20634, 20633])).
% 28.16/18.72 tff(20636,plain,
% 28.16/18.72 (~v130(constB137, 2)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20635, 441, 20598])).
% 28.16/18.72 tff(20637,plain,
% 28.16/18.72 (~v127(constB137, 2)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20434, 20636])).
% 28.16/18.72 tff(20638,plain,
% 28.16/18.72 (~v129(constB138, 2)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20439, 20637])).
% 28.16/18.72 tff(20639,plain,
% 28.16/18.72 (~v90(constB138, 2)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20444, 20638])).
% 28.16/18.72 tff(20640,plain,
% 28.16/18.72 (~v90(constB139, 2)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20453, 20639])).
% 28.16/18.72 tff(20641,assumption,(~v120(constB139)), introduced(assumption)).
% 28.16/18.72 tff(20642,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB139, 0)) | v90(constB139, 1) | v90(constB139, 2) | v120(constB139))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB139, 0)) | v90(constB139, 1) | v90(constB139, 2) | v120(constB139))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20643,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB139, 0)) | v90(constB139, 1) | v90(constB139, 2) | v120(constB139))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20644,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB139, 0)) | v90(constB139, 1) | v90(constB139, 2) | v120(constB139)),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20643, 20642])).
% 28.16/18.72 tff(20645,plain,
% 28.16/18.72 (v90(constB139, 1) | v90(constB139, 2)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20644, 679, 20391, 20641])).
% 28.16/18.72 tff(20646,plain,
% 28.16/18.72 ($false),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20645, 20640, 20632])).
% 28.16/18.72 tff(20647,plain,((~v119(constB137)) | (~v90(constB139, 0)) | v120(constB139) | (~v100(constB138))), inference(lemma,lemma(discharge,[]))).
% 28.16/18.72 tff(20648,plain,
% 28.16/18.72 (~v119(constB137)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20647, 20580, 20597, 20590])).
% 28.16/18.72 tff(20649,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB139) | (~v122(constB139)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB139) | (~v122(constB139)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20650,plain,
% 28.16/18.72 (((~v122(constB139)) | v116(constB139)) <=> (v116(constB139) | (~v122(constB139)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20651,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB139)) | v116(constB139))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB139) | (~v122(constB139))))),
% 28.16/18.72 inference(monotonicity,[status(thm)],[20650])).
% 28.16/18.72 tff(20652,plain,
% 28.16/18.72 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB139)) | v116(constB139))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB139) | (~v122(constB139)))),
% 28.16/18.72 inference(transitivity,[status(thm)],[20651, 20649])).
% 28.16/18.72 tff(20653,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB139)) | v116(constB139))),
% 28.16/18.72 inference(quant_inst,[status(thm)],[])).
% 28.16/18.72 tff(20654,plain,
% 28.16/18.72 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB139) | (~v122(constB139))),
% 28.16/18.72 inference(modus_ponens,[status(thm)],[20653, 20652])).
% 28.16/18.72 tff(20655,plain,
% 28.16/18.72 (~v122(constB139)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20654, 1272, 20505])).
% 28.16/18.72 tff(20656,plain,
% 28.16/18.72 (~v121(constB137)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20461, 20580, 20655, 20590])).
% 28.16/18.72 tff(20657,plain,
% 28.16/18.72 (~v90(constB139, 1)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20459, 20551, 20391])).
% 28.16/18.72 tff(20658,plain,
% 28.16/18.72 ($false),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20645, 20657, 20551])).
% 28.16/18.72 tff(20659,plain,(v90(constB139, 2) | (~v90(constB139, 0)) | v120(constB139) | v122(constB139)), inference(lemma,lemma(discharge,[]))).
% 28.16/18.72 tff(20660,plain,
% 28.16/18.72 (v90(constB139, 2)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20659, 20580, 20597, 20655])).
% 28.16/18.72 tff(20661,plain,
% 28.16/18.72 (v90(constB138, 2)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20453, 20660])).
% 28.16/18.72 tff(20662,plain,
% 28.16/18.72 ((~v90(constB138, 2)) | v129(constB138, 2)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20443, 488, 20590])).
% 28.16/18.72 tff(20663,plain,
% 28.16/18.72 (v129(constB138, 2)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20662, 20661])).
% 28.16/18.72 tff(20664,plain,
% 28.16/18.72 (v127(constB137, 2)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20439, 20663])).
% 28.16/18.72 tff(20665,plain,
% 28.16/18.72 (v130(constB137, 2)),
% 28.16/18.72 inference(unit_resolution,[status(thm)],[20434, 20664])).
% 28.16/18.72 tff(20666,plain,
% 28.16/18.72 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB138, 0)) | v129(constB138, 0) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB138, 0)) | v129(constB138, 0) | (~v100(constB138)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20667,plain,
% 28.16/18.72 (((~v90(constB138, 0)) | (~v100(constB138)) | v129(constB138, 0)) <=> ((~v90(constB138, 0)) | v129(constB138, 0) | (~v100(constB138)))),
% 28.16/18.72 inference(rewrite,[status(thm)],[])).
% 28.16/18.72 tff(20668,plain,
% 28.16/18.72 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB138, 0)) | (~v100(constB138)) | v129(constB138, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB138, 0)) | v129(constB138, 0) | (~v100(constB138))))),
% 28.16/18.73 inference(monotonicity,[status(thm)],[20667])).
% 28.16/18.73 tff(20669,plain,
% 28.16/18.73 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB138, 0)) | (~v100(constB138)) | v129(constB138, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB138, 0)) | v129(constB138, 0) | (~v100(constB138)))),
% 28.16/18.73 inference(transitivity,[status(thm)],[20668, 20666])).
% 28.16/18.73 tff(20670,plain,
% 28.16/18.73 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB138, 0)) | (~v100(constB138)) | v129(constB138, 0))),
% 28.16/18.73 inference(quant_inst,[status(thm)],[])).
% 28.16/18.73 tff(20671,plain,
% 28.16/18.73 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB138, 0)) | v129(constB138, 0) | (~v100(constB138))),
% 28.16/18.73 inference(modus_ponens,[status(thm)],[20670, 20669])).
% 28.16/18.73 tff(20672,plain,
% 28.16/18.73 (v129(constB138, 0) | (~v100(constB138))),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20671, 966, 20589])).
% 28.16/18.73 tff(20673,plain,
% 28.16/18.73 (v129(constB138, 0)),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20672, 20590])).
% 28.16/18.73 tff(20674,plain,
% 28.16/18.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB137, constB138)) | v127(constB137, 0) | (~v129(constB138, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB137, constB138)) | v127(constB137, 0) | (~v129(constB138, 0)))),
% 28.16/18.73 inference(rewrite,[status(thm)],[])).
% 28.16/18.73 tff(20675,plain,
% 28.16/18.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB137, constB138)) | v127(constB137, 0) | (~v129(constB138, 0)))),
% 28.16/18.73 inference(quant_inst,[status(thm)],[])).
% 28.16/18.73 tff(20676,plain,
% 28.16/18.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB137, constB138)) | v127(constB137, 0) | (~v129(constB138, 0))),
% 28.16/18.73 inference(modus_ponens,[status(thm)],[20675, 20674])).
% 28.16/18.73 tff(20677,plain,
% 28.16/18.73 (v127(constB137, 0) | (~v129(constB138, 0))),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20676, 951, 16617])).
% 28.16/18.73 tff(20678,plain,
% 28.16/18.73 (v127(constB137, 0)),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20677, 20673])).
% 28.16/18.73 tff(20679,plain,
% 28.16/18.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB137, 0)) | v26(constB137) | v130(constB137, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB137, 0)) | v26(constB137) | v130(constB137, 0))),
% 28.16/18.73 inference(rewrite,[status(thm)],[])).
% 28.16/18.73 tff(20680,plain,
% 28.16/18.73 ((v26(constB137) | v130(constB137, 0) | (~v127(constB137, 0))) <=> ((~v127(constB137, 0)) | v26(constB137) | v130(constB137, 0))),
% 28.16/18.73 inference(rewrite,[status(thm)],[])).
% 28.16/18.73 tff(20681,plain,
% 28.16/18.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB137) | v130(constB137, 0) | (~v127(constB137, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB137, 0)) | v26(constB137) | v130(constB137, 0)))),
% 28.16/18.73 inference(monotonicity,[status(thm)],[20680])).
% 28.16/18.73 tff(20682,plain,
% 28.16/18.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB137) | v130(constB137, 0) | (~v127(constB137, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB137, 0)) | v26(constB137) | v130(constB137, 0))),
% 28.16/18.73 inference(transitivity,[status(thm)],[20681, 20679])).
% 28.16/18.73 tff(20683,plain,
% 28.16/18.73 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB137) | v130(constB137, 0) | (~v127(constB137, 0)))),
% 28.16/18.73 inference(quant_inst,[status(thm)],[])).
% 28.16/18.73 tff(20684,plain,
% 28.16/18.73 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB137, 0)) | v26(constB137) | v130(constB137, 0)),
% 28.16/18.73 inference(modus_ponens,[status(thm)],[20683, 20682])).
% 28.16/18.73 tff(20685,plain,
% 28.16/18.73 ((~v127(constB137, 0)) | v130(constB137, 0)),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20684, 933, 16662])).
% 28.16/18.73 tff(20686,plain,
% 28.16/18.73 (v130(constB137, 0)),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20685, 20678])).
% 28.16/18.73 tff(20687,plain,
% 28.16/18.73 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB137)) | (~v130(constB137, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB137)) | (~v130(constB137, 0)))),
% 28.16/18.73 inference(rewrite,[status(thm)],[])).
% 28.16/18.73 tff(20688,plain,
% 28.16/18.73 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB137)) | (~v130(constB137, 0)))),
% 28.16/18.73 inference(quant_inst,[status(thm)],[])).
% 28.16/18.73 tff(20689,plain,
% 28.16/18.73 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB137)) | (~v130(constB137, 0))),
% 28.16/18.73 inference(modus_ponens,[status(thm)],[20688, 20687])).
% 28.16/18.73 tff(20690,plain,
% 28.16/18.73 (~v124(constB137)),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20689, 1967, 20686])).
% 28.16/18.73 tff(20691,plain,
% 28.16/18.73 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB137)) | (~v130(constB137, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB137)) | (~v130(constB137, 0)))),
% 28.16/18.73 inference(rewrite,[status(thm)],[])).
% 28.16/18.73 tff(20692,plain,
% 28.16/18.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB137)) | (~v130(constB137, 0)))),
% 28.16/18.73 inference(quant_inst,[status(thm)],[])).
% 28.16/18.73 tff(20693,plain,
% 28.16/18.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB137)) | (~v130(constB137, 0))),
% 28.16/18.73 inference(modus_ponens,[status(thm)],[20692, 20691])).
% 28.16/18.73 tff(20694,plain,
% 28.16/18.73 (~v122(constB137)),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20693, 1351, 20686])).
% 28.16/18.73 tff(20695,plain,
% 28.16/18.73 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB137)) | (~v130(constB137, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB137)) | (~v130(constB137, 0)))),
% 28.16/18.73 inference(rewrite,[status(thm)],[])).
% 28.16/18.73 tff(20696,plain,
% 28.16/18.73 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB137)) | (~v130(constB137, 0)))),
% 28.16/18.73 inference(quant_inst,[status(thm)],[])).
% 28.16/18.73 tff(20697,plain,
% 28.16/18.73 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB137)) | (~v130(constB137, 0))),
% 28.16/18.73 inference(modus_ponens,[status(thm)],[20696, 20695])).
% 28.16/18.73 tff(20698,plain,
% 28.16/18.73 (~v120(constB137)),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20697, 919, 20686])).
% 28.16/18.73 tff(20699,plain,
% 28.16/18.73 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB137) | v120(constB137) | v121(constB137) | v122(constB137) | v123(constB137) | v124(constB137) | (~v130(constB137, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB137) | v120(constB137) | v121(constB137) | v122(constB137) | v123(constB137) | v124(constB137) | (~v130(constB137, 2)))),
% 28.16/18.73 inference(rewrite,[status(thm)],[])).
% 28.16/18.73 tff(20700,plain,
% 28.16/18.73 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB137) | v120(constB137) | v121(constB137) | v122(constB137) | v123(constB137) | v124(constB137) | (~v130(constB137, 2)))),
% 28.16/18.73 inference(quant_inst,[status(thm)],[])).
% 28.16/18.73 tff(20701,plain,
% 28.16/18.73 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB137) | v120(constB137) | v121(constB137) | v122(constB137) | v123(constB137) | v124(constB137) | (~v130(constB137, 2))),
% 28.16/18.73 inference(modus_ponens,[status(thm)],[20700, 20699])).
% 28.16/18.73 tff(20702,plain,
% 28.16/18.73 (v119(constB137) | v121(constB137) | v123(constB137) | (~v130(constB137, 2))),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20701, 2155, 20698, 20694, 20690])).
% 28.16/18.73 tff(20703,plain,
% 28.16/18.73 (v123(constB137)),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20702, 20665, 20656, 20648])).
% 28.16/18.73 tff(20704,plain,
% 28.16/18.73 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB139) | (~v124(constB139)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB139) | (~v124(constB139)))),
% 28.16/18.73 inference(rewrite,[status(thm)],[])).
% 28.16/18.73 tff(20705,plain,
% 28.16/18.73 (((~v124(constB139)) | v114(constB139)) <=> (v114(constB139) | (~v124(constB139)))),
% 28.16/18.73 inference(rewrite,[status(thm)],[])).
% 28.16/18.73 tff(20706,plain,
% 28.16/18.73 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB139)) | v114(constB139))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB139) | (~v124(constB139))))),
% 28.16/18.73 inference(monotonicity,[status(thm)],[20705])).
% 28.16/18.73 tff(20707,plain,
% 28.16/18.73 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB139)) | v114(constB139))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB139) | (~v124(constB139)))),
% 28.16/18.73 inference(transitivity,[status(thm)],[20706, 20704])).
% 28.16/18.73 tff(20708,plain,
% 28.16/18.73 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB139)) | v114(constB139))),
% 28.16/18.73 inference(quant_inst,[status(thm)],[])).
% 28.16/18.73 tff(20709,plain,
% 28.16/18.73 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB139) | (~v124(constB139))),
% 28.16/18.73 inference(modus_ponens,[status(thm)],[20708, 20707])).
% 28.16/18.73 tff(20710,plain,
% 28.16/18.73 (~v124(constB139)),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20709, 1805, 20491])).
% 28.16/18.73 tff(20711,plain,
% 28.16/18.73 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB139, 0)) | v90(constB139, 1) | (~v90(constB139, 2)) | v124(constB139))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB139, 0)) | v90(constB139, 1) | (~v90(constB139, 2)) | v124(constB139))),
% 28.16/18.73 inference(rewrite,[status(thm)],[])).
% 28.16/18.73 tff(20712,plain,
% 28.16/18.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB139, 0)) | v90(constB139, 1) | (~v90(constB139, 2)) | v124(constB139))),
% 28.16/18.73 inference(quant_inst,[status(thm)],[])).
% 28.16/18.73 tff(20713,plain,
% 28.16/18.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB139, 0)) | v90(constB139, 1) | (~v90(constB139, 2)) | v124(constB139)),
% 28.16/18.73 inference(modus_ponens,[status(thm)],[20712, 20711])).
% 28.16/18.73 tff(20714,plain,
% 28.16/18.73 ((~v90(constB139, 0)) | v90(constB139, 1) | (~v90(constB139, 2))),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20713, 1794, 20710])).
% 28.16/18.73 tff(20715,plain,
% 28.16/18.73 (v90(constB139, 1)),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20714, 20660, 20580])).
% 28.16/18.73 tff(20716,plain,
% 28.16/18.73 (v90(constB138, 1)),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20631, 20715])).
% 28.16/18.73 tff(20717,plain,
% 28.16/18.73 ((~v90(constB138, 1)) | v129(constB138, 1)),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20621, 574, 20590])).
% 28.16/18.73 tff(20718,plain,
% 28.16/18.73 (v129(constB138, 1)),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20717, 20716])).
% 28.16/18.73 tff(20719,plain,
% 28.16/18.73 (v127(constB137, 1)),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20614, 20718])).
% 28.16/18.73 tff(20720,plain,
% 28.16/18.73 (v130(constB137, 1)),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20609, 20719])).
% 28.16/18.73 tff(20721,plain,
% 28.16/18.73 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB137)) | (~v130(constB137, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB137)) | (~v130(constB137, 1)))),
% 28.16/18.73 inference(rewrite,[status(thm)],[])).
% 28.16/18.73 tff(20722,plain,
% 28.16/18.73 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB137)) | (~v130(constB137, 1)))),
% 28.16/18.73 inference(quant_inst,[status(thm)],[])).
% 28.16/18.73 tff(20723,plain,
% 28.16/18.73 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB137)) | (~v130(constB137, 1))),
% 28.16/18.73 inference(modus_ponens,[status(thm)],[20722, 20721])).
% 28.16/18.73 tff(20724,plain,
% 28.16/18.73 ($false),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20723, 1712, 20720, 20703])).
% 28.16/18.73 tff(20725,plain,(v113(constB139) | v90(constB129, 1)), inference(lemma,lemma(discharge,[]))).
% 28.16/18.73 tff(20726,plain,
% 28.16/18.73 (v113(constB139)),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20725, 19323])).
% 28.16/18.73 tff(20727,assumption,(~v108(constB139)), introduced(assumption)).
% 28.16/18.73 tff(20728,plain,
% 28.16/18.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB139) | (~v112(constB139)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v112(constB139)))),
% 28.16/18.73 inference(rewrite,[status(thm)],[])).
% 28.16/18.73 tff(20729,plain,
% 28.16/18.73 (((~v112(constB139)) | v108(constB139)) <=> (v108(constB139) | (~v112(constB139)))),
% 28.16/18.73 inference(rewrite,[status(thm)],[])).
% 28.16/18.73 tff(20730,plain,
% 28.16/18.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB139)) | v108(constB139))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB139) | (~v112(constB139))))),
% 28.16/18.73 inference(monotonicity,[status(thm)],[20729])).
% 28.16/18.73 tff(20731,plain,
% 28.16/18.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB139)) | v108(constB139))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v112(constB139)))),
% 28.16/18.73 inference(transitivity,[status(thm)],[20730, 20728])).
% 28.16/18.73 tff(20732,plain,
% 28.16/18.73 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB139)) | v108(constB139))),
% 28.16/18.73 inference(quant_inst,[status(thm)],[])).
% 28.16/18.73 tff(20733,plain,
% 28.16/18.73 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v112(constB139))),
% 28.16/18.73 inference(modus_ponens,[status(thm)],[20732, 20731])).
% 28.16/18.73 tff(20734,plain,
% 28.16/18.73 (~v112(constB139)),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20733, 340, 20727])).
% 28.16/18.73 tff(20735,plain,
% 28.16/18.73 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB139) | (~v26(constB139)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v26(constB139)))),
% 28.16/18.73 inference(rewrite,[status(thm)],[])).
% 28.16/18.73 tff(20736,plain,
% 28.16/18.73 (((~v26(constB139)) | v108(constB139)) <=> (v108(constB139) | (~v26(constB139)))),
% 28.16/18.73 inference(rewrite,[status(thm)],[])).
% 28.16/18.73 tff(20737,plain,
% 28.16/18.73 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB139)) | v108(constB139))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB139) | (~v26(constB139))))),
% 28.16/18.73 inference(monotonicity,[status(thm)],[20736])).
% 28.16/18.73 tff(20738,plain,
% 28.16/18.73 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB139)) | v108(constB139))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v26(constB139)))),
% 28.16/18.73 inference(transitivity,[status(thm)],[20737, 20735])).
% 28.16/18.73 tff(20739,plain,
% 28.16/18.73 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB139)) | v108(constB139))),
% 28.16/18.73 inference(quant_inst,[status(thm)],[])).
% 28.16/18.73 tff(20740,plain,
% 28.16/18.73 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v26(constB139))),
% 28.16/18.73 inference(modus_ponens,[status(thm)],[20739, 20738])).
% 28.16/18.73 tff(20741,plain,
% 28.16/18.73 (~v26(constB139)),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20740, 6750, 20727])).
% 28.16/18.73 tff(20742,assumption,(v113(constB139)), introduced(assumption)).
% 28.16/18.73 tff(20743,plain,
% 28.16/18.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | v112(constB139) | (~v113(constB139)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 28.16/18.73 inference(rewrite,[status(thm)],[])).
% 28.16/18.73 tff(20744,plain,
% 28.16/18.73 ((v26(constB139) | (~v113(constB139)) | v112(constB139)) <=> (v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 28.16/18.73 inference(rewrite,[status(thm)],[])).
% 28.16/18.73 tff(20745,plain,
% 28.16/18.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | v112(constB139) | (~v113(constB139))))),
% 28.16/18.73 inference(monotonicity,[status(thm)],[20744])).
% 28.16/18.73 tff(20746,plain,
% 28.16/18.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 28.16/18.73 inference(transitivity,[status(thm)],[20745, 20743])).
% 28.16/18.73 tff(20747,plain,
% 28.16/18.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))),
% 28.16/18.73 inference(quant_inst,[status(thm)],[])).
% 28.16/18.73 tff(20748,plain,
% 28.16/18.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139))),
% 28.16/18.73 inference(modus_ponens,[status(thm)],[20747, 20746])).
% 28.16/18.73 tff(20749,plain,
% 28.16/18.73 (v26(constB139) | v112(constB139)),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20748, 328, 20742])).
% 28.16/18.73 tff(20750,plain,
% 28.16/18.73 ($false),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20749, 20741, 20734])).
% 28.16/18.73 tff(20751,plain,(v108(constB139) | (~v113(constB139))), inference(lemma,lemma(discharge,[]))).
% 28.16/18.73 tff(20752,plain,
% 28.16/18.73 (v108(constB139)),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20751, 20726])).
% 28.16/18.73 tff(20753,plain,
% 28.16/18.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 28.16/18.73 inference(rewrite,[status(thm)],[])).
% 28.16/18.73 tff(20754,plain,
% 28.16/18.73 (((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140)) <=> ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 28.16/18.73 inference(rewrite,[status(thm)],[])).
% 28.16/18.73 tff(20755,plain,
% 28.16/18.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139))))),
% 28.16/18.73 inference(monotonicity,[status(thm)],[20754])).
% 28.16/18.73 tff(20756,plain,
% 28.16/18.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 28.16/18.73 inference(transitivity,[status(thm)],[20755, 20753])).
% 28.16/18.73 tff(20757,plain,
% 28.16/18.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))),
% 28.16/18.73 inference(quant_inst,[status(thm)],[])).
% 28.16/18.73 tff(20758,plain,
% 28.16/18.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139))),
% 28.16/18.73 inference(modus_ponens,[status(thm)],[20757, 20756])).
% 28.16/18.73 tff(20759,plain,
% 28.16/18.73 (v110(constB140) | (~v108(constB139))),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20758, 360, 20478])).
% 28.16/18.73 tff(20760,plain,
% 28.16/18.73 (v110(constB140)),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20759, 20752])).
% 28.16/18.73 tff(20761,plain,
% 28.16/18.73 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))),
% 28.16/18.73 inference(rewrite,[status(thm)],[])).
% 28.16/18.73 tff(20762,plain,
% 28.16/18.73 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))),
% 28.16/18.73 inference(quant_inst,[status(thm)],[])).
% 28.16/18.73 tff(20763,plain,
% 28.16/18.73 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140))),
% 28.16/18.73 inference(modus_ponens,[status(thm)],[20762, 20761])).
% 28.16/18.73 tff(20764,plain,
% 28.16/18.73 (~v104(constB140)),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20763, 378, 20478, 20366])).
% 28.16/18.73 tff(20765,plain,
% 28.16/18.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))),
% 28.16/18.73 inference(rewrite,[status(thm)],[])).
% 28.16/18.73 tff(20766,plain,
% 28.16/18.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))),
% 28.16/18.73 inference(quant_inst,[status(thm)],[])).
% 28.16/18.73 tff(20767,plain,
% 28.16/18.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB139, constB140)) | v102(constB140) | v104(constB140)),
% 28.16/18.73 inference(modus_ponens,[status(thm)],[20766, 20765])).
% 28.16/18.73 tff(20768,plain,
% 28.16/18.73 (v102(constB140) | v104(constB140)),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20767, 392, 20478])).
% 28.16/18.73 tff(20769,plain,
% 28.16/18.73 (v102(constB140)),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20768, 20764])).
% 28.16/18.73 tff(20770,plain,
% 28.16/18.73 (v1(constB140) <=> v1(constB140)),
% 28.16/18.73 inference(rewrite,[status(thm)],[])).
% 28.16/18.73 tff(20771,axiom,(v1(constB140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_140_1')).
% 28.16/18.73 tff(20772,plain,
% 28.16/18.73 (v1(constB140)),
% 28.16/18.73 inference(modus_ponens,[status(thm)],[20771, 20770])).
% 28.16/18.73 tff(20773,plain,
% 28.16/18.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))),
% 28.16/18.73 inference(rewrite,[status(thm)],[])).
% 28.16/18.73 tff(20774,plain,
% 28.16/18.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))),
% 28.16/18.73 inference(quant_inst,[status(thm)],[])).
% 28.16/18.73 tff(20775,plain,
% 28.16/18.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140))),
% 28.16/18.73 inference(modus_ponens,[status(thm)],[20774, 20773])).
% 28.16/18.73 tff(20776,plain,
% 28.16/18.73 (v101(constB140) | (~v102(constB140))),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20775, 410, 20478, 20772])).
% 28.16/18.73 tff(20777,plain,
% 28.16/18.73 (v101(constB140)),
% 28.16/18.73 inference(unit_resolution,[status(thm)],[20776, 20769])).
% 28.16/18.73 tff(20778,plain,
% 28.21/18.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 28.21/18.73 inference(rewrite,[status(thm)],[])).
% 28.21/18.73 tff(20779,plain,
% 28.21/18.73 (((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140)) <=> ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 28.21/18.73 inference(rewrite,[status(thm)],[])).
% 28.21/18.73 tff(20780,plain,
% 28.21/18.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140))))),
% 28.21/18.73 inference(monotonicity,[status(thm)],[20779])).
% 28.21/18.73 tff(20781,plain,
% 28.21/18.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 28.21/18.73 inference(transitivity,[status(thm)],[20780, 20778])).
% 28.21/18.73 tff(20782,plain,
% 28.21/18.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))),
% 28.21/18.73 inference(quant_inst,[status(thm)],[])).
% 28.21/18.73 tff(20783,plain,
% 28.21/18.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140))),
% 28.21/18.73 inference(modus_ponens,[status(thm)],[20782, 20781])).
% 28.21/18.73 tff(20784,plain,
% 28.21/18.73 (v100(constB140) | (~v101(constB140)) | (~v110(constB140))),
% 28.21/18.73 inference(unit_resolution,[status(thm)],[20783, 425, 20478])).
% 28.21/18.73 tff(20785,plain,
% 28.21/18.73 (v100(constB140) | (~v110(constB140))),
% 28.21/18.73 inference(unit_resolution,[status(thm)],[20784, 20777])).
% 28.21/18.73 tff(20786,plain,
% 28.21/18.73 (v100(constB140)),
% 28.21/18.73 inference(unit_resolution,[status(thm)],[20785, 20760])).
% 28.21/18.73 tff(20787,plain,
% 28.21/18.73 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB140, 2) | (~v129(constB140, 2)) | (~v100(constB140)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB140, 2) | (~v129(constB140, 2)) | (~v100(constB140)))),
% 28.21/18.73 inference(rewrite,[status(thm)],[])).
% 28.21/18.73 tff(20788,plain,
% 28.21/18.73 ((v90(constB140, 2) | (~v100(constB140)) | (~v129(constB140, 2))) <=> (v90(constB140, 2) | (~v129(constB140, 2)) | (~v100(constB140)))),
% 28.21/18.73 inference(rewrite,[status(thm)],[])).
% 28.21/18.73 tff(20789,plain,
% 28.21/18.73 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB140, 2) | (~v100(constB140)) | (~v129(constB140, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB140, 2) | (~v129(constB140, 2)) | (~v100(constB140))))),
% 28.21/18.73 inference(monotonicity,[status(thm)],[20788])).
% 28.21/18.73 tff(20790,plain,
% 28.21/18.73 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB140, 2) | (~v100(constB140)) | (~v129(constB140, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB140, 2) | (~v129(constB140, 2)) | (~v100(constB140)))),
% 28.21/18.73 inference(transitivity,[status(thm)],[20789, 20787])).
% 28.21/18.73 tff(20791,plain,
% 28.21/18.73 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB140, 2) | (~v100(constB140)) | (~v129(constB140, 2)))),
% 28.21/18.73 inference(quant_inst,[status(thm)],[])).
% 28.21/18.73 tff(20792,plain,
% 28.21/18.73 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB140, 2) | (~v129(constB140, 2)) | (~v100(constB140))),
% 28.21/18.73 inference(modus_ponens,[status(thm)],[20791, 20790])).
% 28.21/18.73 tff(20793,plain,
% 28.21/18.73 (v90(constB140, 2) | (~v129(constB140, 2))),
% 28.21/18.73 inference(unit_resolution,[status(thm)],[20792, 1528, 20786])).
% 28.21/18.73 tff(20794,plain,
% 28.21/18.73 (v90(constB140, 2)),
% 28.21/18.73 inference(unit_resolution,[status(thm)],[20793, 20483])).
% 28.21/18.73 tff(20795,plain,
% 28.21/18.73 ((~v1(constB141)) <=> (~v1(constB141))),
% 28.21/18.73 inference(rewrite,[status(thm)],[])).
% 28.21/18.73 tff(20796,axiom,(~v1(constB141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_141_1_1')).
% 28.21/18.73 tff(20797,plain,
% 28.21/18.73 (~v1(constB141)),
% 28.21/18.73 inference(modus_ponens,[status(thm)],[20796, 20795])).
% 28.21/18.73 tff(20798,plain,
% 28.21/18.73 (nextState(constB140, constB141) <=> nextState(constB140, constB141)),
% 28.21/18.73 inference(rewrite,[status(thm)],[])).
% 28.21/18.73 tff(20799,axiom,(nextState(constB140, constB141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_140_1')).
% 28.21/18.73 tff(20800,plain,
% 28.21/18.73 (nextState(constB140, constB141)),
% 28.21/18.73 inference(modus_ponens,[status(thm)],[20799, 20798])).
% 28.21/18.73 tff(20801,plain,
% 28.21/18.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 28.21/18.73 inference(rewrite,[status(thm)],[])).
% 28.21/18.73 tff(20802,plain,
% 28.21/18.73 (((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141)) <=> (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 28.21/18.73 inference(rewrite,[status(thm)],[])).
% 28.21/18.73 tff(20803,plain,
% 28.21/18.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141))))),
% 28.21/18.73 inference(monotonicity,[status(thm)],[20802])).
% 28.21/18.73 tff(20804,plain,
% 28.21/18.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 28.21/18.73 inference(transitivity,[status(thm)],[20803, 20801])).
% 28.21/18.73 tff(20805,plain,
% 28.21/18.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))),
% 28.21/18.73 inference(quant_inst,[status(thm)],[])).
% 28.21/18.73 tff(20806,plain,
% 28.21/18.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141))),
% 28.21/18.73 inference(modus_ponens,[status(thm)],[20805, 20804])).
% 28.21/18.73 tff(20807,plain,
% 28.21/18.73 (~v101(constB141)),
% 28.21/18.73 inference(unit_resolution,[status(thm)],[20806, 138, 20800, 20797])).
% 28.21/18.73 tff(20808,plain,
% 28.21/18.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))),
% 28.21/18.73 inference(rewrite,[status(thm)],[])).
% 28.21/18.73 tff(20809,plain,
% 28.21/18.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))),
% 28.21/18.73 inference(quant_inst,[status(thm)],[])).
% 28.21/18.73 tff(20810,plain,
% 28.21/18.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141))),
% 28.21/18.73 inference(modus_ponens,[status(thm)],[20809, 20808])).
% 28.21/18.73 tff(20811,plain,
% 28.21/18.73 (v101(constB141) | (~v100(constB141))),
% 28.21/18.73 inference(unit_resolution,[status(thm)],[20810, 155, 20800])).
% 28.21/18.73 tff(20812,plain,
% 28.21/18.73 (~v100(constB141)),
% 28.21/18.73 inference(unit_resolution,[status(thm)],[20811, 20807])).
% 28.21/18.73 tff(20813,plain,
% 28.21/18.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB140, 2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB140, 2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 2))),
% 28.21/18.73 inference(rewrite,[status(thm)],[])).
% 28.21/18.73 tff(20814,plain,
% 28.21/18.73 (((~nextState(constB140, constB141)) | (~v90(constB140, 2)) | v100(constB141) | v90(constB141, 2)) <=> ((~v90(constB140, 2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 2))),
% 28.21/18.73 inference(rewrite,[status(thm)],[])).
% 28.21/18.73 tff(20815,plain,
% 28.21/18.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB140, constB141)) | (~v90(constB140, 2)) | v100(constB141) | v90(constB141, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB140, 2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 2)))),
% 28.21/18.73 inference(monotonicity,[status(thm)],[20814])).
% 28.21/18.73 tff(20816,plain,
% 28.21/18.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB140, constB141)) | (~v90(constB140, 2)) | v100(constB141) | v90(constB141, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB140, 2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 2))),
% 28.21/18.73 inference(transitivity,[status(thm)],[20815, 20813])).
% 28.21/18.73 tff(20817,plain,
% 28.21/18.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB140, constB141)) | (~v90(constB140, 2)) | v100(constB141) | v90(constB141, 2))),
% 28.21/18.73 inference(quant_inst,[status(thm)],[])).
% 28.21/18.73 tff(20818,plain,
% 28.21/18.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB140, 2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 2)),
% 28.21/18.73 inference(modus_ponens,[status(thm)],[20817, 20816])).
% 28.21/18.73 tff(20819,plain,
% 28.21/18.73 ((~v90(constB140, 2)) | v100(constB141) | v90(constB141, 2)),
% 28.21/18.73 inference(unit_resolution,[status(thm)],[20818, 1546, 20800])).
% 28.21/18.73 tff(20820,plain,
% 28.21/18.73 ((~v90(constB140, 2)) | v90(constB141, 2)),
% 28.21/18.73 inference(unit_resolution,[status(thm)],[20819, 20812])).
% 28.21/18.73 tff(20821,plain,
% 28.21/18.73 (v90(constB141, 2)),
% 28.21/18.73 inference(unit_resolution,[status(thm)],[20820, 20794])).
% 28.21/18.73 tff(20822,plain,
% 28.21/18.73 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB139)) | (~v130(constB139, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB139)) | (~v130(constB139, 1)))),
% 28.21/18.73 inference(rewrite,[status(thm)],[])).
% 28.21/18.73 tff(20823,plain,
% 28.21/18.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB139)) | (~v130(constB139, 1)))),
% 28.21/18.73 inference(quant_inst,[status(thm)],[])).
% 28.21/18.73 tff(20824,plain,
% 28.21/18.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB139)) | (~v130(constB139, 1))),
% 28.21/18.73 inference(modus_ponens,[status(thm)],[20823, 20822])).
% 28.21/18.73 tff(20825,plain,
% 28.21/18.73 (~v130(constB139, 1)),
% 28.21/18.73 inference(unit_resolution,[status(thm)],[20824, 1424, 20462])).
% 28.21/18.73 tff(20826,plain,
% 28.21/18.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB139, 1)) | v26(constB139) | v130(constB139, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB139, 1)) | v26(constB139) | v130(constB139, 1))),
% 28.21/18.73 inference(rewrite,[status(thm)],[])).
% 28.21/18.73 tff(20827,plain,
% 28.21/18.73 ((v26(constB139) | v130(constB139, 1) | (~v127(constB139, 1))) <=> ((~v127(constB139, 1)) | v26(constB139) | v130(constB139, 1))),
% 28.21/18.73 inference(rewrite,[status(thm)],[])).
% 28.21/18.73 tff(20828,plain,
% 28.21/18.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB139) | v130(constB139, 1) | (~v127(constB139, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB139, 1)) | v26(constB139) | v130(constB139, 1)))),
% 28.21/18.73 inference(monotonicity,[status(thm)],[20827])).
% 28.21/18.73 tff(20829,plain,
% 28.21/18.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB139) | v130(constB139, 1) | (~v127(constB139, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB139, 1)) | v26(constB139) | v130(constB139, 1))),
% 28.21/18.73 inference(transitivity,[status(thm)],[20828, 20826])).
% 28.21/18.73 tff(20830,plain,
% 28.21/18.73 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB139) | v130(constB139, 1) | (~v127(constB139, 1)))),
% 28.21/18.73 inference(quant_inst,[status(thm)],[])).
% 28.21/18.73 tff(20831,plain,
% 28.21/18.73 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB139, 1)) | v26(constB139) | v130(constB139, 1)),
% 28.21/18.73 inference(modus_ponens,[status(thm)],[20830, 20829])).
% 28.21/18.73 tff(20832,plain,
% 28.21/18.73 ((~v127(constB139, 1)) | v130(constB139, 1)),
% 28.21/18.73 inference(unit_resolution,[status(thm)],[20831, 541, 20470])).
% 28.21/18.73 tff(20833,plain,
% 28.21/18.73 (~v127(constB139, 1)),
% 28.21/18.73 inference(unit_resolution,[status(thm)],[20832, 20825])).
% 28.21/18.73 tff(20834,plain,
% 28.21/18.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB139, constB140)) | v127(constB139, 1) | (~v129(constB140, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB139, constB140)) | v127(constB139, 1) | (~v129(constB140, 1)))),
% 28.21/18.73 inference(rewrite,[status(thm)],[])).
% 28.21/18.73 tff(20835,plain,
% 28.21/18.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB139, constB140)) | v127(constB139, 1) | (~v129(constB140, 1)))),
% 28.21/18.73 inference(quant_inst,[status(thm)],[])).
% 28.21/18.73 tff(20836,plain,
% 28.21/18.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB139, constB140)) | v127(constB139, 1) | (~v129(constB140, 1))),
% 28.21/18.73 inference(modus_ponens,[status(thm)],[20835, 20834])).
% 28.21/18.73 tff(20837,plain,
% 28.21/18.73 (v127(constB139, 1) | (~v129(constB140, 1))),
% 28.21/18.73 inference(unit_resolution,[status(thm)],[20836, 559, 20478])).
% 28.21/18.73 tff(20838,plain,
% 28.21/18.73 (~v129(constB140, 1)),
% 28.21/18.73 inference(unit_resolution,[status(thm)],[20837, 20833])).
% 28.21/18.73 tff(20839,plain,
% 28.21/18.73 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB140, 1)) | v129(constB140, 1) | (~v100(constB140)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB140, 1)) | v129(constB140, 1) | (~v100(constB140)))),
% 28.21/18.73 inference(rewrite,[status(thm)],[])).
% 28.21/18.73 tff(20840,plain,
% 28.21/18.73 (((~v90(constB140, 1)) | (~v100(constB140)) | v129(constB140, 1)) <=> ((~v90(constB140, 1)) | v129(constB140, 1) | (~v100(constB140)))),
% 28.21/18.73 inference(rewrite,[status(thm)],[])).
% 28.21/18.73 tff(20841,plain,
% 28.21/18.73 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB140, 1)) | (~v100(constB140)) | v129(constB140, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB140, 1)) | v129(constB140, 1) | (~v100(constB140))))),
% 28.21/18.73 inference(monotonicity,[status(thm)],[20840])).
% 28.21/18.73 tff(20842,plain,
% 28.21/18.73 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB140, 1)) | (~v100(constB140)) | v129(constB140, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB140, 1)) | v129(constB140, 1) | (~v100(constB140)))),
% 28.21/18.73 inference(transitivity,[status(thm)],[20841, 20839])).
% 28.21/18.73 tff(20843,plain,
% 28.21/18.73 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB140, 1)) | (~v100(constB140)) | v129(constB140, 1))),
% 28.21/18.73 inference(quant_inst,[status(thm)],[])).
% 28.21/18.73 tff(20844,plain,
% 28.21/18.73 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB140, 1)) | v129(constB140, 1) | (~v100(constB140))),
% 28.21/18.73 inference(modus_ponens,[status(thm)],[20843, 20842])).
% 28.21/18.73 tff(20845,plain,
% 28.21/18.73 ((~v90(constB140, 1)) | v129(constB140, 1)),
% 28.21/18.73 inference(unit_resolution,[status(thm)],[20844, 574, 20786])).
% 28.21/18.73 tff(20846,plain,
% 28.21/18.73 (~v90(constB140, 1)),
% 28.21/18.73 inference(unit_resolution,[status(thm)],[20845, 20838])).
% 28.21/18.73 tff(20847,plain,
% 28.21/18.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB140, 1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB140, 1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 1)))),
% 28.21/18.73 inference(rewrite,[status(thm)],[])).
% 28.21/18.73 tff(20848,plain,
% 28.21/18.73 (((~nextState(constB140, constB141)) | v90(constB140, 1) | v100(constB141) | (~v90(constB141, 1))) <=> (v90(constB140, 1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 1)))),
% 28.21/18.73 inference(rewrite,[status(thm)],[])).
% 28.21/18.73 tff(20849,plain,
% 28.21/18.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB140, constB141)) | v90(constB140, 1) | v100(constB141) | (~v90(constB141, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB140, 1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 1))))),
% 28.21/18.73 inference(monotonicity,[status(thm)],[20848])).
% 28.21/18.73 tff(20850,plain,
% 28.21/18.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB140, constB141)) | v90(constB140, 1) | v100(constB141) | (~v90(constB141, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB140, 1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 1)))),
% 28.21/18.73 inference(transitivity,[status(thm)],[20849, 20847])).
% 28.21/18.73 tff(20851,plain,
% 28.21/18.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB140, constB141)) | v90(constB140, 1) | v100(constB141) | (~v90(constB141, 1)))),
% 28.21/18.73 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(20852,plain,
% 28.21/18.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB140, 1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 1))),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[20851, 20850])).
% 28.21/18.74 tff(20853,plain,
% 28.21/18.74 (v90(constB140, 1) | v100(constB141) | (~v90(constB141, 1))),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20852, 191, 20800])).
% 28.21/18.74 tff(20854,plain,
% 28.21/18.74 (v90(constB140, 1) | (~v90(constB141, 1))),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20853, 20812])).
% 28.21/18.74 tff(20855,plain,
% 28.21/18.74 (~v90(constB141, 1)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20854, 20846])).
% 28.21/18.74 tff(20856,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB139)) | (~v130(constB139, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB139)) | (~v130(constB139, 0)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20857,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB139)) | (~v130(constB139, 0)))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(20858,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB139)) | (~v130(constB139, 0))),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[20857, 20856])).
% 28.21/18.74 tff(20859,plain,
% 28.21/18.74 (~v130(constB139, 0)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20858, 1351, 20462])).
% 28.21/18.74 tff(20860,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB139, 0)) | v26(constB139) | v130(constB139, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB139, 0)) | v26(constB139) | v130(constB139, 0))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20861,plain,
% 28.21/18.74 ((v26(constB139) | v130(constB139, 0) | (~v127(constB139, 0))) <=> ((~v127(constB139, 0)) | v26(constB139) | v130(constB139, 0))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20862,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB139) | v130(constB139, 0) | (~v127(constB139, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB139, 0)) | v26(constB139) | v130(constB139, 0)))),
% 28.21/18.74 inference(monotonicity,[status(thm)],[20861])).
% 28.21/18.74 tff(20863,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB139) | v130(constB139, 0) | (~v127(constB139, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB139, 0)) | v26(constB139) | v130(constB139, 0))),
% 28.21/18.74 inference(transitivity,[status(thm)],[20862, 20860])).
% 28.21/18.74 tff(20864,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB139) | v130(constB139, 0) | (~v127(constB139, 0)))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(20865,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB139, 0)) | v26(constB139) | v130(constB139, 0)),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[20864, 20863])).
% 28.21/18.74 tff(20866,plain,
% 28.21/18.74 ((~v127(constB139, 0)) | v130(constB139, 0)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20865, 933, 20470])).
% 28.21/18.74 tff(20867,plain,
% 28.21/18.74 (~v127(constB139, 0)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20866, 20859])).
% 28.21/18.74 tff(20868,plain,
% 28.21/18.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB139, constB140)) | v127(constB139, 0) | (~v129(constB140, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB139, constB140)) | v127(constB139, 0) | (~v129(constB140, 0)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20869,plain,
% 28.21/18.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB139, constB140)) | v127(constB139, 0) | (~v129(constB140, 0)))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(20870,plain,
% 28.21/18.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB139, constB140)) | v127(constB139, 0) | (~v129(constB140, 0))),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[20869, 20868])).
% 28.21/18.74 tff(20871,plain,
% 28.21/18.74 (v127(constB139, 0) | (~v129(constB140, 0))),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20870, 951, 20478])).
% 28.21/18.74 tff(20872,plain,
% 28.21/18.74 (~v129(constB140, 0)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20871, 20867])).
% 28.21/18.74 tff(20873,plain,
% 28.21/18.74 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB140, 0)) | v129(constB140, 0) | (~v100(constB140)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB140, 0)) | v129(constB140, 0) | (~v100(constB140)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20874,plain,
% 28.21/18.74 (((~v90(constB140, 0)) | (~v100(constB140)) | v129(constB140, 0)) <=> ((~v90(constB140, 0)) | v129(constB140, 0) | (~v100(constB140)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20875,plain,
% 28.21/18.74 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB140, 0)) | (~v100(constB140)) | v129(constB140, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB140, 0)) | v129(constB140, 0) | (~v100(constB140))))),
% 28.21/18.74 inference(monotonicity,[status(thm)],[20874])).
% 28.21/18.74 tff(20876,plain,
% 28.21/18.74 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB140, 0)) | (~v100(constB140)) | v129(constB140, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB140, 0)) | v129(constB140, 0) | (~v100(constB140)))),
% 28.21/18.74 inference(transitivity,[status(thm)],[20875, 20873])).
% 28.21/18.74 tff(20877,plain,
% 28.21/18.74 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB140, 0)) | (~v100(constB140)) | v129(constB140, 0))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(20878,plain,
% 28.21/18.74 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB140, 0)) | v129(constB140, 0) | (~v100(constB140))),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[20877, 20876])).
% 28.21/18.74 tff(20879,plain,
% 28.21/18.74 ((~v90(constB140, 0)) | v129(constB140, 0)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20878, 966, 20786])).
% 28.21/18.74 tff(20880,plain,
% 28.21/18.74 (~v90(constB140, 0)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20879, 20872])).
% 28.21/18.74 tff(20881,plain,
% 28.21/18.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB140, 0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB140, 0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 0)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20882,plain,
% 28.21/18.74 (((~nextState(constB140, constB141)) | v90(constB140, 0) | v100(constB141) | (~v90(constB141, 0))) <=> (v90(constB140, 0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 0)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20883,plain,
% 28.21/18.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB140, constB141)) | v90(constB140, 0) | v100(constB141) | (~v90(constB141, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB140, 0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 0))))),
% 28.21/18.74 inference(monotonicity,[status(thm)],[20882])).
% 28.21/18.74 tff(20884,plain,
% 28.21/18.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB140, constB141)) | v90(constB140, 0) | v100(constB141) | (~v90(constB141, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB140, 0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 0)))),
% 28.21/18.74 inference(transitivity,[status(thm)],[20883, 20881])).
% 28.21/18.74 tff(20885,plain,
% 28.21/18.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB140, constB141)) | v90(constB140, 0) | v100(constB141) | (~v90(constB141, 0)))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(20886,plain,
% 28.21/18.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB140, 0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 0))),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[20885, 20884])).
% 28.21/18.74 tff(20887,plain,
% 28.21/18.74 (v90(constB140, 0) | v100(constB141) | (~v90(constB141, 0))),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20886, 212, 20800])).
% 28.21/18.74 tff(20888,plain,
% 28.21/18.74 (v90(constB140, 0) | (~v90(constB141, 0))),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20887, 20812])).
% 28.21/18.74 tff(20889,plain,
% 28.21/18.74 (~v90(constB141, 0)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20888, 20880])).
% 28.21/18.74 tff(20890,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB141, 0) | v90(constB141, 1) | (~v90(constB141, 2)) | v123(constB141))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB141, 0) | v90(constB141, 1) | (~v90(constB141, 2)) | v123(constB141))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20891,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB141, 0) | v90(constB141, 1) | (~v90(constB141, 2)) | v123(constB141))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(20892,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB141, 0) | v90(constB141, 1) | (~v90(constB141, 2)) | v123(constB141)),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[20891, 20890])).
% 28.21/18.74 tff(20893,plain,
% 28.21/18.74 (v123(constB141)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20892, 1565, 20889, 20855, 20821])).
% 28.21/18.74 tff(20894,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB141) | (~v123(constB141)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB141) | (~v123(constB141)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20895,plain,
% 28.21/18.74 (((~v123(constB141)) | v115(constB141)) <=> (v115(constB141) | (~v123(constB141)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20896,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB141)) | v115(constB141))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB141) | (~v123(constB141))))),
% 28.21/18.74 inference(monotonicity,[status(thm)],[20895])).
% 28.21/18.74 tff(20897,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB141)) | v115(constB141))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB141) | (~v123(constB141)))),
% 28.21/18.74 inference(transitivity,[status(thm)],[20896, 20894])).
% 28.21/18.74 tff(20898,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB141)) | v115(constB141))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(20899,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB141) | (~v123(constB141))),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[20898, 20897])).
% 28.21/18.74 tff(20900,plain,
% 28.21/18.74 (v115(constB141)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20899, 1579, 20893])).
% 28.21/18.74 tff(20901,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB141) | (~v115(constB141)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB141) | (~v115(constB141)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20902,plain,
% 28.21/18.74 (((~v115(constB141)) | v114(constB141)) <=> (v114(constB141) | (~v115(constB141)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20903,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB141)) | v114(constB141))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB141) | (~v115(constB141))))),
% 28.21/18.74 inference(monotonicity,[status(thm)],[20902])).
% 28.21/18.74 tff(20904,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB141)) | v114(constB141))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB141) | (~v115(constB141)))),
% 28.21/18.74 inference(transitivity,[status(thm)],[20903, 20901])).
% 28.21/18.74 tff(20905,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB141)) | v114(constB141))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(20906,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB141) | (~v115(constB141))),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[20905, 20904])).
% 28.21/18.74 tff(20907,plain,
% 28.21/18.74 (v114(constB141)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20906, 300, 20900])).
% 28.21/18.74 tff(20908,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB141)) | v113(constB141))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB141)) | v113(constB141))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20909,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB141)) | v113(constB141))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(20910,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB141)) | v113(constB141)),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[20909, 20908])).
% 28.21/18.74 tff(20911,plain,
% 28.21/18.74 (v113(constB141)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20910, 314, 20907])).
% 28.21/18.74 tff(20912,assumption,(v26(constB141)), introduced(assumption)).
% 28.21/18.74 tff(20913,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB141))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(20914,plain,
% 28.21/18.74 ($false),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20913, 95, 20912])).
% 28.21/18.74 tff(20915,plain,(~v26(constB141)), inference(lemma,lemma(discharge,[]))).
% 28.21/18.74 tff(20916,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | (~v113(constB141)) | v112(constB141))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20917,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(20918,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | (~v113(constB141)) | v112(constB141)),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[20917, 20916])).
% 28.21/18.74 tff(20919,plain,
% 28.21/18.74 ((~v113(constB141)) | v112(constB141)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20918, 328, 20915])).
% 28.21/18.74 tff(20920,plain,
% 28.21/18.74 (v112(constB141)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20919, 20911])).
% 28.21/18.74 tff(20921,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB141) | (~v112(constB141)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v112(constB141)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20922,plain,
% 28.21/18.74 (((~v112(constB141)) | v108(constB141)) <=> (v108(constB141) | (~v112(constB141)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20923,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB141)) | v108(constB141))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB141) | (~v112(constB141))))),
% 28.21/18.74 inference(monotonicity,[status(thm)],[20922])).
% 28.21/18.74 tff(20924,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB141)) | v108(constB141))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v112(constB141)))),
% 28.21/18.74 inference(transitivity,[status(thm)],[20923, 20921])).
% 28.21/18.74 tff(20925,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB141)) | v108(constB141))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(20926,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v112(constB141))),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[20925, 20924])).
% 28.21/18.74 tff(20927,plain,
% 28.21/18.74 (v108(constB141)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20926, 340, 20920])).
% 28.21/18.74 tff(20928,plain,
% 28.21/18.74 (nextState(constB141, constB142) <=> nextState(constB141, constB142)),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20929,axiom,(nextState(constB141, constB142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_141_1')).
% 28.21/18.74 tff(20930,plain,
% 28.21/18.74 (nextState(constB141, constB142)),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[20929, 20928])).
% 28.21/18.74 tff(20931,plain,
% 28.21/18.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20932,plain,
% 28.21/18.74 (((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142)) <=> ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20933,plain,
% 28.21/18.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141))))),
% 28.21/18.74 inference(monotonicity,[status(thm)],[20932])).
% 28.21/18.74 tff(20934,plain,
% 28.21/18.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 28.21/18.74 inference(transitivity,[status(thm)],[20933, 20931])).
% 28.21/18.74 tff(20935,plain,
% 28.21/18.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(20936,plain,
% 28.21/18.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141))),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[20935, 20934])).
% 28.21/18.74 tff(20937,plain,
% 28.21/18.74 (v110(constB142) | (~v108(constB141))),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20936, 360, 20930])).
% 28.21/18.74 tff(20938,plain,
% 28.21/18.74 (v110(constB142)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20937, 20927])).
% 28.21/18.74 tff(20939,plain,
% 28.21/18.74 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20940,plain,
% 28.21/18.74 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(20941,plain,
% 28.21/18.74 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142))),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[20940, 20939])).
% 28.21/18.74 tff(20942,plain,
% 28.21/18.74 (~v104(constB142)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20941, 378, 20930, 20797])).
% 28.21/18.74 tff(20943,plain,
% 28.21/18.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20944,plain,
% 28.21/18.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(20945,plain,
% 28.21/18.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB141, constB142)) | v102(constB142) | v104(constB142)),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[20944, 20943])).
% 28.21/18.74 tff(20946,plain,
% 28.21/18.74 (v102(constB142) | v104(constB142)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20945, 392, 20930])).
% 28.21/18.74 tff(20947,plain,
% 28.21/18.74 (v102(constB142)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20946, 20942])).
% 28.21/18.74 tff(20948,plain,
% 28.21/18.74 (v1(constB142) <=> v1(constB142)),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20949,axiom,(v1(constB142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_142_1')).
% 28.21/18.74 tff(20950,plain,
% 28.21/18.74 (v1(constB142)),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[20949, 20948])).
% 28.21/18.74 tff(20951,plain,
% 28.21/18.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20952,plain,
% 28.21/18.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(20953,plain,
% 28.21/18.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142))),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[20952, 20951])).
% 28.21/18.74 tff(20954,plain,
% 28.21/18.74 (v101(constB142) | (~v102(constB142))),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20953, 410, 20930, 20950])).
% 28.21/18.74 tff(20955,plain,
% 28.21/18.74 (v101(constB142)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20954, 20947])).
% 28.21/18.74 tff(20956,plain,
% 28.21/18.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20957,plain,
% 28.21/18.74 (((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142)) <=> ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20958,plain,
% 28.21/18.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142))))),
% 28.21/18.74 inference(monotonicity,[status(thm)],[20957])).
% 28.21/18.74 tff(20959,plain,
% 28.21/18.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 28.21/18.74 inference(transitivity,[status(thm)],[20958, 20956])).
% 28.21/18.74 tff(20960,plain,
% 28.21/18.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(20961,plain,
% 28.21/18.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142))),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[20960, 20959])).
% 28.21/18.74 tff(20962,plain,
% 28.21/18.74 (v100(constB142) | (~v101(constB142)) | (~v110(constB142))),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20961, 425, 20930])).
% 28.21/18.74 tff(20963,plain,
% 28.21/18.74 (v100(constB142) | (~v110(constB142))),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20962, 20955])).
% 28.21/18.74 tff(20964,plain,
% 28.21/18.74 (v100(constB142)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20963, 20938])).
% 28.21/18.74 tff(20965,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB141)) | (~v130(constB141, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB141)) | (~v130(constB141, 1)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20966,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB141)) | (~v130(constB141, 1)))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(20967,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB141)) | (~v130(constB141, 1))),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[20966, 20965])).
% 28.21/18.74 tff(20968,plain,
% 28.21/18.74 (~v130(constB141, 1)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20967, 1712, 20893])).
% 28.21/18.74 tff(20969,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB141, 1)) | v26(constB141) | v130(constB141, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB141, 1)) | v26(constB141) | v130(constB141, 1))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20970,plain,
% 28.21/18.74 ((v26(constB141) | v130(constB141, 1) | (~v127(constB141, 1))) <=> ((~v127(constB141, 1)) | v26(constB141) | v130(constB141, 1))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20971,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB141) | v130(constB141, 1) | (~v127(constB141, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB141, 1)) | v26(constB141) | v130(constB141, 1)))),
% 28.21/18.74 inference(monotonicity,[status(thm)],[20970])).
% 28.21/18.74 tff(20972,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB141) | v130(constB141, 1) | (~v127(constB141, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB141, 1)) | v26(constB141) | v130(constB141, 1))),
% 28.21/18.74 inference(transitivity,[status(thm)],[20971, 20969])).
% 28.21/18.74 tff(20973,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB141) | v130(constB141, 1) | (~v127(constB141, 1)))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(20974,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB141, 1)) | v26(constB141) | v130(constB141, 1)),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[20973, 20972])).
% 28.21/18.74 tff(20975,plain,
% 28.21/18.74 ((~v127(constB141, 1)) | v130(constB141, 1)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20974, 541, 20915])).
% 28.21/18.74 tff(20976,plain,
% 28.21/18.74 (~v127(constB141, 1)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20975, 20968])).
% 28.21/18.74 tff(20977,plain,
% 28.21/18.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB141, constB142)) | v127(constB141, 1) | (~v129(constB142, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB141, constB142)) | v127(constB141, 1) | (~v129(constB142, 1)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20978,plain,
% 28.21/18.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB141, constB142)) | v127(constB141, 1) | (~v129(constB142, 1)))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(20979,plain,
% 28.21/18.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB141, constB142)) | v127(constB141, 1) | (~v129(constB142, 1))),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[20978, 20977])).
% 28.21/18.74 tff(20980,plain,
% 28.21/18.74 (v127(constB141, 1) | (~v129(constB142, 1))),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20979, 559, 20930])).
% 28.21/18.74 tff(20981,plain,
% 28.21/18.74 (~v129(constB142, 1)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20980, 20976])).
% 28.21/18.74 tff(20982,plain,
% 28.21/18.74 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB142, 1)) | v129(constB142, 1) | (~v100(constB142)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB142, 1)) | v129(constB142, 1) | (~v100(constB142)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20983,plain,
% 28.21/18.74 (((~v90(constB142, 1)) | (~v100(constB142)) | v129(constB142, 1)) <=> ((~v90(constB142, 1)) | v129(constB142, 1) | (~v100(constB142)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20984,plain,
% 28.21/18.74 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB142, 1)) | (~v100(constB142)) | v129(constB142, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB142, 1)) | v129(constB142, 1) | (~v100(constB142))))),
% 28.21/18.74 inference(monotonicity,[status(thm)],[20983])).
% 28.21/18.74 tff(20985,plain,
% 28.21/18.74 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB142, 1)) | (~v100(constB142)) | v129(constB142, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB142, 1)) | v129(constB142, 1) | (~v100(constB142)))),
% 28.21/18.74 inference(transitivity,[status(thm)],[20984, 20982])).
% 28.21/18.74 tff(20986,plain,
% 28.21/18.74 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB142, 1)) | (~v100(constB142)) | v129(constB142, 1))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(20987,plain,
% 28.21/18.74 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB142, 1)) | v129(constB142, 1) | (~v100(constB142))),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[20986, 20985])).
% 28.21/18.74 tff(20988,plain,
% 28.21/18.74 ((~v90(constB142, 1)) | (~v100(constB142))),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20987, 574, 20981])).
% 28.21/18.74 tff(20989,plain,
% 28.21/18.74 (~v90(constB142, 1)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[20988, 20964])).
% 28.21/18.74 tff(20990,plain,
% 28.21/18.74 ((~v1(constB143)) <=> (~v1(constB143))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20991,axiom,(~v1(constB143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_143_1_1')).
% 28.21/18.74 tff(20992,plain,
% 28.21/18.74 (~v1(constB143)),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[20991, 20990])).
% 28.21/18.74 tff(20993,plain,
% 28.21/18.74 (nextState(constB142, constB143) <=> nextState(constB142, constB143)),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20994,axiom,(nextState(constB142, constB143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_142_1')).
% 28.21/18.74 tff(20995,plain,
% 28.21/18.74 (nextState(constB142, constB143)),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[20994, 20993])).
% 28.21/18.74 tff(20996,plain,
% 28.21/18.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20997,plain,
% 28.21/18.74 (((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143)) <=> (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(20998,plain,
% 28.21/18.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143))))),
% 28.21/18.74 inference(monotonicity,[status(thm)],[20997])).
% 28.21/18.74 tff(20999,plain,
% 28.21/18.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 28.21/18.74 inference(transitivity,[status(thm)],[20998, 20996])).
% 28.21/18.74 tff(21000,plain,
% 28.21/18.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(21001,plain,
% 28.21/18.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143))),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[21000, 20999])).
% 28.21/18.74 tff(21002,plain,
% 28.21/18.74 (~v101(constB143)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[21001, 138, 20995, 20992])).
% 28.21/18.74 tff(21003,plain,
% 28.21/18.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(21004,plain,
% 28.21/18.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(21005,plain,
% 28.21/18.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143))),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[21004, 21003])).
% 28.21/18.74 tff(21006,plain,
% 28.21/18.74 (v101(constB143) | (~v100(constB143))),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[21005, 155, 20995])).
% 28.21/18.74 tff(21007,plain,
% 28.21/18.74 (~v100(constB143)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[21006, 21002])).
% 28.21/18.74 tff(21008,plain,
% 28.21/18.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB142, 1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB142, 1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 1)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(21009,plain,
% 28.21/18.74 (((~nextState(constB142, constB143)) | v90(constB142, 1) | v100(constB143) | (~v90(constB143, 1))) <=> (v90(constB142, 1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 1)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(21010,plain,
% 28.21/18.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB142, constB143)) | v90(constB142, 1) | v100(constB143) | (~v90(constB143, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB142, 1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 1))))),
% 28.21/18.74 inference(monotonicity,[status(thm)],[21009])).
% 28.21/18.74 tff(21011,plain,
% 28.21/18.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB142, constB143)) | v90(constB142, 1) | v100(constB143) | (~v90(constB143, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB142, 1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 1)))),
% 28.21/18.74 inference(transitivity,[status(thm)],[21010, 21008])).
% 28.21/18.74 tff(21012,plain,
% 28.21/18.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB142, constB143)) | v90(constB142, 1) | v100(constB143) | (~v90(constB143, 1)))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(21013,plain,
% 28.21/18.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB142, 1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 1))),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[21012, 21011])).
% 28.21/18.74 tff(21014,plain,
% 28.21/18.74 (v90(constB142, 1) | v100(constB143) | (~v90(constB143, 1))),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[21013, 191, 20995])).
% 28.21/18.74 tff(21015,plain,
% 28.21/18.74 (v90(constB142, 1) | (~v90(constB143, 1))),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[21014, 21007])).
% 28.21/18.74 tff(21016,plain,
% 28.21/18.74 (~v90(constB143, 1)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[21015, 20989])).
% 28.21/18.74 tff(21017,assumption,(~v114(constB143)), introduced(assumption)).
% 28.21/18.74 tff(21018,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB143)) | v114(constB143))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB143)) | v114(constB143))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(21019,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB143)) | v114(constB143))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(21020,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB143)) | v114(constB143)),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[21019, 21018])).
% 28.21/18.74 tff(21021,plain,
% 28.21/18.74 (~v115(constB143)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[21020, 300, 21017])).
% 28.21/18.74 tff(21022,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB143)) | v115(constB143))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB143)) | v115(constB143))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(21023,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB143)) | v115(constB143))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(21024,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB143)) | v115(constB143)),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[21023, 21022])).
% 28.21/18.74 tff(21025,plain,
% 28.21/18.74 (~v123(constB143)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[21024, 1579, 21021])).
% 28.21/18.74 tff(21026,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB143) | (~v116(constB143)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB143) | (~v116(constB143)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(21027,plain,
% 28.21/18.74 (((~v116(constB143)) | v115(constB143)) <=> (v115(constB143) | (~v116(constB143)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(21028,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB143)) | v115(constB143))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB143) | (~v116(constB143))))),
% 28.21/18.74 inference(monotonicity,[status(thm)],[21027])).
% 28.21/18.74 tff(21029,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB143)) | v115(constB143))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB143) | (~v116(constB143)))),
% 28.21/18.74 inference(transitivity,[status(thm)],[21028, 21026])).
% 28.21/18.74 tff(21030,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB143)) | v115(constB143))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(21031,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB143) | (~v116(constB143))),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[21030, 21029])).
% 28.21/18.74 tff(21032,plain,
% 28.21/18.74 (~v116(constB143)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[21031, 286, 21021])).
% 28.21/18.74 tff(21033,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB143) | (~v117(constB143)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB143) | (~v117(constB143)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(21034,plain,
% 28.21/18.74 (((~v117(constB143)) | v116(constB143)) <=> (v116(constB143) | (~v117(constB143)))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(21035,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB143)) | v116(constB143))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB143) | (~v117(constB143))))),
% 28.21/18.74 inference(monotonicity,[status(thm)],[21034])).
% 28.21/18.74 tff(21036,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB143)) | v116(constB143))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB143) | (~v117(constB143)))),
% 28.21/18.74 inference(transitivity,[status(thm)],[21035, 21033])).
% 28.21/18.74 tff(21037,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB143)) | v116(constB143))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(21038,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB143) | (~v117(constB143))),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[21037, 21036])).
% 28.21/18.74 tff(21039,plain,
% 28.21/18.74 (~v117(constB143)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[21038, 272, 21032])).
% 28.21/18.74 tff(21040,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB143)) | v117(constB143))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB143)) | v117(constB143))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(21041,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB143)) | v117(constB143))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(21042,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB143)) | v117(constB143)),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[21041, 21040])).
% 28.21/18.74 tff(21043,plain,
% 28.21/18.74 (~v118(constB143)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[21042, 258, 21039])).
% 28.21/18.74 tff(21044,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB143)) | v118(constB143))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB143)) | v118(constB143))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(21045,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB143)) | v118(constB143))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(21046,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB143)) | v118(constB143)),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[21045, 21044])).
% 28.21/18.74 tff(21047,plain,
% 28.21/18.74 (~v120(constB143)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[21046, 690, 21043])).
% 28.21/18.74 tff(21048,assumption,(~v90(constB143, 1)), introduced(assumption)).
% 28.21/18.74 tff(21049,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB143)) | v118(constB143))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB143)) | v118(constB143))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(21050,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB143)) | v118(constB143))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(21051,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB143)) | v118(constB143)),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[21050, 21049])).
% 28.21/18.74 tff(21052,plain,
% 28.21/18.74 (~v119(constB143)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[21051, 247, 21043])).
% 28.21/18.74 tff(21053,assumption,(~v119(constB143)), introduced(assumption)).
% 28.21/18.74 tff(21054,assumption,(~v90(constB143, 2)), introduced(assumption)).
% 28.21/18.74 tff(21055,assumption,(~v120(constB143)), introduced(assumption)).
% 28.21/18.74 tff(21056,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB143, 0)) | v90(constB143, 1) | v90(constB143, 2) | v120(constB143))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB143, 0)) | v90(constB143, 1) | v90(constB143, 2) | v120(constB143))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(21057,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB143, 0)) | v90(constB143, 1) | v90(constB143, 2) | v120(constB143))),
% 28.21/18.74 inference(quant_inst,[status(thm)],[])).
% 28.21/18.74 tff(21058,plain,
% 28.21/18.74 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB143, 0)) | v90(constB143, 1) | v90(constB143, 2) | v120(constB143)),
% 28.21/18.74 inference(modus_ponens,[status(thm)],[21057, 21056])).
% 28.21/18.74 tff(21059,plain,
% 28.21/18.74 ((~v90(constB143, 0)) | v90(constB143, 2) | v120(constB143)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[21058, 679, 21048])).
% 28.21/18.74 tff(21060,plain,
% 28.21/18.74 (~v90(constB143, 0)),
% 28.21/18.74 inference(unit_resolution,[status(thm)],[21059, 21054, 21055])).
% 28.21/18.74 tff(21061,plain,
% 28.21/18.74 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB143, 0) | v90(constB143, 1) | v90(constB143, 2) | v119(constB143))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB143, 0) | v90(constB143, 1) | v90(constB143, 2) | v119(constB143))),
% 28.21/18.74 inference(rewrite,[status(thm)],[])).
% 28.21/18.74 tff(21062,plain,
% 28.21/18.74 ((v90(constB143, 0) | v119(constB143) | v90(constB143, 1) | v90(constB143, 2)) <=> (v90(constB143, 0) | v90(constB143, 1) | v90(constB143, 2) | v119(constB143))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21063,plain,
% 28.21/18.75 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB143, 0) | v119(constB143) | v90(constB143, 1) | v90(constB143, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB143, 0) | v90(constB143, 1) | v90(constB143, 2) | v119(constB143)))),
% 28.21/18.75 inference(monotonicity,[status(thm)],[21062])).
% 28.21/18.75 tff(21064,plain,
% 28.21/18.75 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB143, 0) | v119(constB143) | v90(constB143, 1) | v90(constB143, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB143, 0) | v90(constB143, 1) | v90(constB143, 2) | v119(constB143))),
% 28.21/18.75 inference(transitivity,[status(thm)],[21063, 21061])).
% 28.21/18.75 tff(21065,plain,
% 28.21/18.75 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB143, 0) | v119(constB143) | v90(constB143, 1) | v90(constB143, 2))),
% 28.21/18.75 inference(quant_inst,[status(thm)],[])).
% 28.21/18.75 tff(21066,plain,
% 28.21/18.75 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB143, 0) | v90(constB143, 1) | v90(constB143, 2) | v119(constB143)),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21065, 21064])).
% 28.21/18.75 tff(21067,plain,
% 28.21/18.75 (v90(constB143, 0) | v90(constB143, 2) | v119(constB143)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21066, 233, 21048])).
% 28.21/18.75 tff(21068,plain,
% 28.21/18.75 ($false),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21067, 21060, 21054, 21053])).
% 28.21/18.75 tff(21069,plain,(v90(constB143, 2) | v119(constB143) | v90(constB143, 1) | v120(constB143)), inference(lemma,lemma(discharge,[]))).
% 28.21/18.75 tff(21070,plain,
% 28.21/18.75 (v90(constB143, 2)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21069, 21052, 21048, 21047])).
% 28.21/18.75 tff(21071,plain,
% 28.21/18.75 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB143)) | v114(constB143))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB143)) | v114(constB143))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21072,plain,
% 28.21/18.75 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB143)) | v114(constB143))),
% 28.21/18.75 inference(quant_inst,[status(thm)],[])).
% 28.21/18.75 tff(21073,plain,
% 28.21/18.75 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB143)) | v114(constB143)),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21072, 21071])).
% 28.21/18.75 tff(21074,plain,
% 28.21/18.75 (~v124(constB143)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21073, 1805, 21017])).
% 28.21/18.75 tff(21075,plain,
% 28.21/18.75 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB143, 0)) | v90(constB143, 1) | (~v90(constB143, 2)) | v124(constB143))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB143, 0)) | v90(constB143, 1) | (~v90(constB143, 2)) | v124(constB143))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21076,plain,
% 28.21/18.75 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB143, 0)) | v90(constB143, 1) | (~v90(constB143, 2)) | v124(constB143))),
% 28.21/18.75 inference(quant_inst,[status(thm)],[])).
% 28.21/18.75 tff(21077,plain,
% 28.21/18.75 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB143, 0)) | v90(constB143, 1) | (~v90(constB143, 2)) | v124(constB143)),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21076, 21075])).
% 28.21/18.75 tff(21078,plain,
% 28.21/18.75 ((~v90(constB143, 0)) | (~v90(constB143, 2)) | v124(constB143)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21077, 1794, 21048])).
% 28.21/18.75 tff(21079,plain,
% 28.21/18.75 (~v90(constB143, 0)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21078, 21070, 21074])).
% 28.21/18.75 tff(21080,plain,
% 28.21/18.75 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB143, 0) | v90(constB143, 1) | (~v90(constB143, 2)) | v123(constB143))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB143, 0) | v90(constB143, 1) | (~v90(constB143, 2)) | v123(constB143))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21081,plain,
% 28.21/18.75 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB143, 0) | v90(constB143, 1) | (~v90(constB143, 2)) | v123(constB143))),
% 28.21/18.75 inference(quant_inst,[status(thm)],[])).
% 28.21/18.75 tff(21082,plain,
% 28.21/18.75 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB143, 0) | v90(constB143, 1) | (~v90(constB143, 2)) | v123(constB143)),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21081, 21080])).
% 28.21/18.75 tff(21083,plain,
% 28.21/18.75 (v90(constB143, 0) | (~v90(constB143, 2)) | v123(constB143)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21082, 1565, 21048])).
% 28.21/18.75 tff(21084,plain,
% 28.21/18.75 ($false),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21083, 21079, 21070, 21025])).
% 28.21/18.75 tff(21085,plain,(v114(constB143) | v90(constB143, 1)), inference(lemma,lemma(discharge,[]))).
% 28.21/18.75 tff(21086,plain,
% 28.21/18.75 (v114(constB143)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21085, 21016])).
% 28.21/18.75 tff(21087,plain,
% 28.21/18.75 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB143)) | v113(constB143))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB143)) | v113(constB143))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21088,plain,
% 28.21/18.75 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB143)) | v113(constB143))),
% 28.21/18.75 inference(quant_inst,[status(thm)],[])).
% 28.21/18.75 tff(21089,plain,
% 28.21/18.75 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB143)) | v113(constB143)),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21088, 21087])).
% 28.21/18.75 tff(21090,plain,
% 28.21/18.75 (v113(constB143)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21089, 314, 21086])).
% 28.21/18.75 tff(21091,assumption,(v26(constB143)), introduced(assumption)).
% 28.21/18.75 tff(21092,plain,
% 28.21/18.75 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB143))),
% 28.21/18.75 inference(quant_inst,[status(thm)],[])).
% 28.21/18.75 tff(21093,plain,
% 28.21/18.75 ($false),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21092, 95, 21091])).
% 28.21/18.75 tff(21094,plain,(~v26(constB143)), inference(lemma,lemma(discharge,[]))).
% 28.21/18.75 tff(21095,plain,
% 28.21/18.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | v112(constB143) | (~v113(constB143)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | v112(constB143) | (~v113(constB143)))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21096,plain,
% 28.21/18.75 ((v26(constB143) | (~v113(constB143)) | v112(constB143)) <=> (v26(constB143) | v112(constB143) | (~v113(constB143)))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21097,plain,
% 28.21/18.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | v112(constB143) | (~v113(constB143))))),
% 28.21/18.75 inference(monotonicity,[status(thm)],[21096])).
% 28.21/18.75 tff(21098,plain,
% 28.21/18.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | v112(constB143) | (~v113(constB143)))),
% 28.21/18.75 inference(transitivity,[status(thm)],[21097, 21095])).
% 28.21/18.75 tff(21099,plain,
% 28.21/18.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))),
% 28.21/18.75 inference(quant_inst,[status(thm)],[])).
% 28.21/18.75 tff(21100,plain,
% 28.21/18.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | v112(constB143) | (~v113(constB143))),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21099, 21098])).
% 28.21/18.75 tff(21101,plain,
% 28.21/18.75 (v112(constB143) | (~v113(constB143))),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21100, 328, 21094])).
% 28.21/18.75 tff(21102,plain,
% 28.21/18.75 (v112(constB143)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21101, 21090])).
% 28.21/18.75 tff(21103,plain,
% 28.21/18.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB143) | (~v112(constB143)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v112(constB143)))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21104,plain,
% 28.21/18.75 (((~v112(constB143)) | v108(constB143)) <=> (v108(constB143) | (~v112(constB143)))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21105,plain,
% 28.21/18.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB143)) | v108(constB143))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB143) | (~v112(constB143))))),
% 28.21/18.75 inference(monotonicity,[status(thm)],[21104])).
% 28.21/18.75 tff(21106,plain,
% 28.21/18.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB143)) | v108(constB143))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v112(constB143)))),
% 28.21/18.75 inference(transitivity,[status(thm)],[21105, 21103])).
% 28.21/18.75 tff(21107,plain,
% 28.21/18.75 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB143)) | v108(constB143))),
% 28.21/18.75 inference(quant_inst,[status(thm)],[])).
% 28.21/18.75 tff(21108,plain,
% 28.21/18.75 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v112(constB143))),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21107, 21106])).
% 28.21/18.75 tff(21109,plain,
% 28.21/18.75 (v108(constB143)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21108, 340, 21102])).
% 28.21/18.75 tff(21110,plain,
% 28.21/18.75 (nextState(constB143, constB144) <=> nextState(constB143, constB144)),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21111,axiom,(nextState(constB143, constB144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_143_1')).
% 28.21/18.75 tff(21112,plain,
% 28.21/18.75 (nextState(constB143, constB144)),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21111, 21110])).
% 28.21/18.75 tff(21113,plain,
% 28.21/18.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21114,plain,
% 28.21/18.75 (((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144)) <=> ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21115,plain,
% 28.21/18.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143))))),
% 28.21/18.75 inference(monotonicity,[status(thm)],[21114])).
% 28.21/18.75 tff(21116,plain,
% 28.21/18.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 28.21/18.75 inference(transitivity,[status(thm)],[21115, 21113])).
% 28.21/18.75 tff(21117,plain,
% 28.21/18.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))),
% 28.21/18.75 inference(quant_inst,[status(thm)],[])).
% 28.21/18.75 tff(21118,plain,
% 28.21/18.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143))),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21117, 21116])).
% 28.21/18.75 tff(21119,plain,
% 28.21/18.75 (v110(constB144) | (~v108(constB143))),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21118, 360, 21112])).
% 28.21/18.75 tff(21120,plain,
% 28.21/18.75 (v110(constB144)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21119, 21109])).
% 28.21/18.75 tff(21121,plain,
% 28.21/18.75 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21122,plain,
% 28.21/18.75 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))),
% 28.21/18.75 inference(quant_inst,[status(thm)],[])).
% 28.21/18.75 tff(21123,plain,
% 28.21/18.75 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144))),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21122, 21121])).
% 28.21/18.75 tff(21124,plain,
% 28.21/18.75 (~v104(constB144)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21123, 378, 21112, 20992])).
% 28.21/18.75 tff(21125,plain,
% 28.21/18.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21126,plain,
% 28.21/18.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))),
% 28.21/18.75 inference(quant_inst,[status(thm)],[])).
% 28.21/18.75 tff(21127,plain,
% 28.21/18.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB143, constB144)) | v102(constB144) | v104(constB144)),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21126, 21125])).
% 28.21/18.75 tff(21128,plain,
% 28.21/18.75 (v102(constB144) | v104(constB144)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21127, 392, 21112])).
% 28.21/18.75 tff(21129,plain,
% 28.21/18.75 (v102(constB144)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21128, 21124])).
% 28.21/18.75 tff(21130,plain,
% 28.21/18.75 (v1(constB144) <=> v1(constB144)),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21131,axiom,(v1(constB144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_144_1')).
% 28.21/18.75 tff(21132,plain,
% 28.21/18.75 (v1(constB144)),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21131, 21130])).
% 28.21/18.75 tff(21133,plain,
% 28.21/18.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21134,plain,
% 28.21/18.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))),
% 28.21/18.75 inference(quant_inst,[status(thm)],[])).
% 28.21/18.75 tff(21135,plain,
% 28.21/18.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144))),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21134, 21133])).
% 28.21/18.75 tff(21136,plain,
% 28.21/18.75 (v101(constB144) | (~v102(constB144))),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21135, 410, 21112, 21132])).
% 28.21/18.75 tff(21137,plain,
% 28.21/18.75 (v101(constB144)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21136, 21129])).
% 28.21/18.75 tff(21138,plain,
% 28.21/18.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21139,plain,
% 28.21/18.75 (((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144)) <=> ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21140,plain,
% 28.21/18.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144))))),
% 28.21/18.75 inference(monotonicity,[status(thm)],[21139])).
% 28.21/18.75 tff(21141,plain,
% 28.21/18.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 28.21/18.75 inference(transitivity,[status(thm)],[21140, 21138])).
% 28.21/18.75 tff(21142,plain,
% 28.21/18.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))),
% 28.21/18.75 inference(quant_inst,[status(thm)],[])).
% 28.21/18.75 tff(21143,plain,
% 28.21/18.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144))),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21142, 21141])).
% 28.21/18.75 tff(21144,plain,
% 28.21/18.75 (v100(constB144) | (~v101(constB144)) | (~v110(constB144))),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21143, 425, 21112])).
% 28.21/18.75 tff(21145,plain,
% 28.21/18.75 (v100(constB144) | (~v110(constB144))),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21144, 21137])).
% 28.21/18.75 tff(21146,plain,
% 28.21/18.75 (v100(constB144)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21145, 21120])).
% 28.21/18.75 tff(21147,plain,
% 28.21/18.75 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB141)) | v130(constB141, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB141)) | v130(constB141, 2))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21148,plain,
% 28.21/18.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB141)) | v130(constB141, 2))),
% 28.21/18.75 inference(quant_inst,[status(thm)],[])).
% 28.21/18.75 tff(21149,plain,
% 28.21/18.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB141)) | v130(constB141, 2)),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21148, 21147])).
% 28.21/18.75 tff(21150,plain,
% 28.21/18.75 (v130(constB141, 2)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21149, 1656, 20893])).
% 28.21/18.75 tff(21151,plain,
% 28.21/18.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB141) | (~v130(constB141, 2)) | v127(constB141, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB141) | (~v130(constB141, 2)) | v127(constB141, 2))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21152,plain,
% 28.21/18.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB141) | (~v130(constB141, 2)) | v127(constB141, 2))),
% 28.21/18.75 inference(quant_inst,[status(thm)],[])).
% 28.21/18.75 tff(21153,plain,
% 28.21/18.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB141) | (~v130(constB141, 2)) | v127(constB141, 2)),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21152, 21151])).
% 28.21/18.75 tff(21154,plain,
% 28.21/18.75 ((~v130(constB141, 2)) | v127(constB141, 2)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21153, 1498, 20915])).
% 28.21/18.75 tff(21155,plain,
% 28.21/18.75 (v127(constB141, 2)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21154, 21150])).
% 28.21/18.75 tff(21156,plain,
% 28.21/18.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB141, constB142)) | (~v127(constB141, 2)) | v129(constB142, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB141, constB142)) | (~v127(constB141, 2)) | v129(constB142, 2))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21157,plain,
% 28.21/18.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB141, constB142)) | (~v127(constB141, 2)) | v129(constB142, 2))),
% 28.21/18.75 inference(quant_inst,[status(thm)],[])).
% 28.21/18.75 tff(21158,plain,
% 28.21/18.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB141, constB142)) | (~v127(constB141, 2)) | v129(constB142, 2)),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21157, 21156])).
% 28.21/18.75 tff(21159,plain,
% 28.21/18.75 ((~v127(constB141, 2)) | v129(constB142, 2)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21158, 1513, 20930])).
% 28.21/18.75 tff(21160,plain,
% 28.21/18.75 (v129(constB142, 2)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21159, 21155])).
% 28.21/18.75 tff(21161,plain,
% 28.21/18.75 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB142, 2) | (~v129(constB142, 2)) | (~v100(constB142)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB142, 2) | (~v129(constB142, 2)) | (~v100(constB142)))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21162,plain,
% 28.21/18.75 ((v90(constB142, 2) | (~v100(constB142)) | (~v129(constB142, 2))) <=> (v90(constB142, 2) | (~v129(constB142, 2)) | (~v100(constB142)))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21163,plain,
% 28.21/18.75 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB142, 2) | (~v100(constB142)) | (~v129(constB142, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB142, 2) | (~v129(constB142, 2)) | (~v100(constB142))))),
% 28.21/18.75 inference(monotonicity,[status(thm)],[21162])).
% 28.21/18.75 tff(21164,plain,
% 28.21/18.75 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB142, 2) | (~v100(constB142)) | (~v129(constB142, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB142, 2) | (~v129(constB142, 2)) | (~v100(constB142)))),
% 28.21/18.75 inference(transitivity,[status(thm)],[21163, 21161])).
% 28.21/18.75 tff(21165,plain,
% 28.21/18.75 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB142, 2) | (~v100(constB142)) | (~v129(constB142, 2)))),
% 28.21/18.75 inference(quant_inst,[status(thm)],[])).
% 28.21/18.75 tff(21166,plain,
% 28.21/18.75 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB142, 2) | (~v129(constB142, 2)) | (~v100(constB142))),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21165, 21164])).
% 28.21/18.75 tff(21167,plain,
% 28.21/18.75 (v90(constB142, 2) | (~v100(constB142))),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21166, 1528, 21160])).
% 28.21/18.75 tff(21168,plain,
% 28.21/18.75 (v90(constB142, 2)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21167, 20964])).
% 28.21/18.75 tff(21169,plain,
% 28.21/18.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB142, 2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB142, 2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 2))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21170,plain,
% 28.21/18.75 (((~nextState(constB142, constB143)) | (~v90(constB142, 2)) | v100(constB143) | v90(constB143, 2)) <=> ((~v90(constB142, 2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 2))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21171,plain,
% 28.21/18.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, 2)) | v100(constB143) | v90(constB143, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB142, 2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 2)))),
% 28.21/18.75 inference(monotonicity,[status(thm)],[21170])).
% 28.21/18.75 tff(21172,plain,
% 28.21/18.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, 2)) | v100(constB143) | v90(constB143, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB142, 2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 2))),
% 28.21/18.75 inference(transitivity,[status(thm)],[21171, 21169])).
% 28.21/18.75 tff(21173,plain,
% 28.21/18.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, 2)) | v100(constB143) | v90(constB143, 2))),
% 28.21/18.75 inference(quant_inst,[status(thm)],[])).
% 28.21/18.75 tff(21174,plain,
% 28.21/18.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB142, 2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 2)),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21173, 21172])).
% 28.21/18.75 tff(21175,plain,
% 28.21/18.75 ((~v90(constB142, 2)) | v100(constB143) | v90(constB143, 2)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21174, 1546, 20995])).
% 28.21/18.75 tff(21176,plain,
% 28.21/18.75 ((~v90(constB142, 2)) | v90(constB143, 2)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21175, 21007])).
% 28.21/18.75 tff(21177,plain,
% 28.21/18.75 (v90(constB143, 2)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21176, 21168])).
% 28.21/18.75 tff(21178,plain,
% 28.21/18.75 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB141)) | v130(constB141, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB141)) | v130(constB141, 0))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21179,plain,
% 28.21/18.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB141)) | v130(constB141, 0))),
% 28.21/18.75 inference(quant_inst,[status(thm)],[])).
% 28.21/18.75 tff(21180,plain,
% 28.21/18.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB141)) | v130(constB141, 0)),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21179, 21178])).
% 28.21/18.75 tff(21181,plain,
% 28.21/18.75 (v130(constB141, 0)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21180, 1753, 20893])).
% 28.21/18.75 tff(21182,plain,
% 28.21/18.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB141) | (~v130(constB141, 0)) | v127(constB141, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB141) | (~v130(constB141, 0)) | v127(constB141, 0))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21183,plain,
% 28.21/18.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB141) | (~v130(constB141, 0)) | v127(constB141, 0))),
% 28.21/18.75 inference(quant_inst,[status(thm)],[])).
% 28.21/18.75 tff(21184,plain,
% 28.21/18.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB141) | (~v130(constB141, 0)) | v127(constB141, 0)),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21183, 21182])).
% 28.21/18.75 tff(21185,plain,
% 28.21/18.75 ((~v130(constB141, 0)) | v127(constB141, 0)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21184, 612, 20915])).
% 28.21/18.75 tff(21186,plain,
% 28.21/18.75 (v127(constB141, 0)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21185, 21181])).
% 28.21/18.75 tff(21187,plain,
% 28.21/18.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB141, constB142)) | (~v127(constB141, 0)) | v129(constB142, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB141, constB142)) | (~v127(constB141, 0)) | v129(constB142, 0))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21188,plain,
% 28.21/18.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB141, constB142)) | (~v127(constB141, 0)) | v129(constB142, 0))),
% 28.21/18.75 inference(quant_inst,[status(thm)],[])).
% 28.21/18.75 tff(21189,plain,
% 28.21/18.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB141, constB142)) | (~v127(constB141, 0)) | v129(constB142, 0)),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21188, 21187])).
% 28.21/18.75 tff(21190,plain,
% 28.21/18.75 ((~v127(constB141, 0)) | v129(constB142, 0)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21189, 627, 20930])).
% 28.21/18.75 tff(21191,plain,
% 28.21/18.75 (v129(constB142, 0)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21190, 21186])).
% 28.21/18.75 tff(21192,plain,
% 28.21/18.75 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB142, 0) | (~v129(constB142, 0)) | (~v100(constB142)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB142, 0) | (~v129(constB142, 0)) | (~v100(constB142)))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21193,plain,
% 28.21/18.75 ((v90(constB142, 0) | (~v100(constB142)) | (~v129(constB142, 0))) <=> (v90(constB142, 0) | (~v129(constB142, 0)) | (~v100(constB142)))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21194,plain,
% 28.21/18.75 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB142, 0) | (~v100(constB142)) | (~v129(constB142, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB142, 0) | (~v129(constB142, 0)) | (~v100(constB142))))),
% 28.21/18.75 inference(monotonicity,[status(thm)],[21193])).
% 28.21/18.75 tff(21195,plain,
% 28.21/18.75 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB142, 0) | (~v100(constB142)) | (~v129(constB142, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB142, 0) | (~v129(constB142, 0)) | (~v100(constB142)))),
% 28.21/18.75 inference(transitivity,[status(thm)],[21194, 21192])).
% 28.21/18.75 tff(21196,plain,
% 28.21/18.75 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB142, 0) | (~v100(constB142)) | (~v129(constB142, 0)))),
% 28.21/18.75 inference(quant_inst,[status(thm)],[])).
% 28.21/18.75 tff(21197,plain,
% 28.21/18.75 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB142, 0) | (~v129(constB142, 0)) | (~v100(constB142))),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21196, 21195])).
% 28.21/18.75 tff(21198,plain,
% 28.21/18.75 (v90(constB142, 0) | (~v100(constB142))),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21197, 642, 21191])).
% 28.21/18.75 tff(21199,plain,
% 28.21/18.75 (v90(constB142, 0)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21198, 20964])).
% 28.21/18.75 tff(21200,plain,
% 28.21/18.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB142, 0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB142, 0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 0))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21201,plain,
% 28.21/18.75 (((~nextState(constB142, constB143)) | (~v90(constB142, 0)) | v100(constB143) | v90(constB143, 0)) <=> ((~v90(constB142, 0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 0))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21202,plain,
% 28.21/18.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB142, constB143)) | (~v90(constB142, 0)) | v100(constB143) | v90(constB143, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB142, 0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 0)))),
% 28.21/18.75 inference(monotonicity,[status(thm)],[21201])).
% 28.21/18.75 tff(21203,plain,
% 28.21/18.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB142, constB143)) | (~v90(constB142, 0)) | v100(constB143) | v90(constB143, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB142, 0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 0))),
% 28.21/18.75 inference(transitivity,[status(thm)],[21202, 21200])).
% 28.21/18.75 tff(21204,plain,
% 28.21/18.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB142, constB143)) | (~v90(constB142, 0)) | v100(constB143) | v90(constB143, 0))),
% 28.21/18.75 inference(quant_inst,[status(thm)],[])).
% 28.21/18.75 tff(21205,plain,
% 28.21/18.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB142, 0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 0)),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21204, 21203])).
% 28.21/18.75 tff(21206,plain,
% 28.21/18.75 ((~v90(constB142, 0)) | v100(constB143) | v90(constB143, 0)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21205, 660, 20995])).
% 28.21/18.75 tff(21207,plain,
% 28.21/18.75 ((~v90(constB142, 0)) | v90(constB143, 0)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21206, 21007])).
% 28.21/18.75 tff(21208,plain,
% 28.21/18.75 (v90(constB143, 0)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21207, 21199])).
% 28.21/18.75 tff(21209,plain,
% 28.21/18.75 (v124(constB143)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21077, 1794, 21208, 21016, 21177])).
% 28.21/18.75 tff(21210,plain,
% 28.21/18.75 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB143)) | v130(constB143, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB143)) | v130(constB143, 2))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21211,plain,
% 28.21/18.75 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB143)) | v130(constB143, 2))),
% 28.21/18.75 inference(quant_inst,[status(thm)],[])).
% 28.21/18.75 tff(21212,plain,
% 28.21/18.75 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB143)) | v130(constB143, 2)),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21211, 21210])).
% 28.21/18.75 tff(21213,plain,
% 28.21/18.75 (v130(constB143, 2)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21212, 1873, 21209])).
% 28.21/18.75 tff(21214,plain,
% 28.21/18.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB143) | (~v130(constB143, 2)) | v127(constB143, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB143) | (~v130(constB143, 2)) | v127(constB143, 2))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21215,plain,
% 28.21/18.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB143) | (~v130(constB143, 2)) | v127(constB143, 2))),
% 28.21/18.75 inference(quant_inst,[status(thm)],[])).
% 28.21/18.75 tff(21216,plain,
% 28.21/18.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB143) | (~v130(constB143, 2)) | v127(constB143, 2)),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21215, 21214])).
% 28.21/18.75 tff(21217,plain,
% 28.21/18.75 ((~v130(constB143, 2)) | v127(constB143, 2)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21216, 1498, 21094])).
% 28.21/18.75 tff(21218,plain,
% 28.21/18.75 (v127(constB143, 2)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21217, 21213])).
% 28.21/18.75 tff(21219,plain,
% 28.21/18.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB143, constB144)) | (~v127(constB143, 2)) | v129(constB144, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB143, constB144)) | (~v127(constB143, 2)) | v129(constB144, 2))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21220,plain,
% 28.21/18.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB143, constB144)) | (~v127(constB143, 2)) | v129(constB144, 2))),
% 28.21/18.75 inference(quant_inst,[status(thm)],[])).
% 28.21/18.75 tff(21221,plain,
% 28.21/18.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB143, constB144)) | (~v127(constB143, 2)) | v129(constB144, 2)),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21220, 21219])).
% 28.21/18.75 tff(21222,plain,
% 28.21/18.75 ((~v127(constB143, 2)) | v129(constB144, 2)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21221, 1513, 21112])).
% 28.21/18.75 tff(21223,plain,
% 28.21/18.75 (v129(constB144, 2)),
% 28.21/18.75 inference(unit_resolution,[status(thm)],[21222, 21218])).
% 28.21/18.75 tff(21224,plain,
% 28.21/18.75 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB144, 2) | (~v129(constB144, 2)) | (~v100(constB144)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB144, 2) | (~v129(constB144, 2)) | (~v100(constB144)))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21225,plain,
% 28.21/18.75 ((v90(constB144, 2) | (~v100(constB144)) | (~v129(constB144, 2))) <=> (v90(constB144, 2) | (~v129(constB144, 2)) | (~v100(constB144)))),
% 28.21/18.75 inference(rewrite,[status(thm)],[])).
% 28.21/18.75 tff(21226,plain,
% 28.21/18.75 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB144, 2) | (~v100(constB144)) | (~v129(constB144, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB144, 2) | (~v129(constB144, 2)) | (~v100(constB144))))),
% 28.21/18.75 inference(monotonicity,[status(thm)],[21225])).
% 28.21/18.75 tff(21227,plain,
% 28.21/18.75 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB144, 2) | (~v100(constB144)) | (~v129(constB144, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB144, 2) | (~v129(constB144, 2)) | (~v100(constB144)))),
% 28.21/18.75 inference(transitivity,[status(thm)],[21226, 21224])).
% 28.21/18.75 tff(21228,plain,
% 28.21/18.75 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB144, 2) | (~v100(constB144)) | (~v129(constB144, 2)))),
% 28.21/18.75 inference(quant_inst,[status(thm)],[])).
% 28.21/18.75 tff(21229,plain,
% 28.21/18.75 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB144, 2) | (~v129(constB144, 2)) | (~v100(constB144))),
% 28.21/18.75 inference(modus_ponens,[status(thm)],[21228, 21227])).
% 28.24/18.75 tff(21230,plain,
% 28.24/18.75 (v90(constB144, 2) | (~v100(constB144))),
% 28.24/18.75 inference(unit_resolution,[status(thm)],[21229, 1528, 21223])).
% 28.24/18.75 tff(21231,plain,
% 28.24/18.75 (v90(constB144, 2)),
% 28.24/18.75 inference(unit_resolution,[status(thm)],[21230, 21146])).
% 28.24/18.75 tff(21232,plain,
% 28.24/18.75 ((~v1(constB145)) <=> (~v1(constB145))),
% 28.24/18.75 inference(rewrite,[status(thm)],[])).
% 28.24/18.75 tff(21233,axiom,(~v1(constB145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_145_1_1')).
% 28.24/18.75 tff(21234,plain,
% 28.24/18.75 (~v1(constB145)),
% 28.24/18.75 inference(modus_ponens,[status(thm)],[21233, 21232])).
% 28.24/18.75 tff(21235,plain,
% 28.24/18.75 (nextState(constB144, constB145) <=> nextState(constB144, constB145)),
% 28.24/18.75 inference(rewrite,[status(thm)],[])).
% 28.24/18.75 tff(21236,axiom,(nextState(constB144, constB145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_144_1')).
% 28.24/18.75 tff(21237,plain,
% 28.24/18.75 (nextState(constB144, constB145)),
% 28.24/18.75 inference(modus_ponens,[status(thm)],[21236, 21235])).
% 28.24/18.75 tff(21238,plain,
% 28.24/18.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 28.24/18.75 inference(rewrite,[status(thm)],[])).
% 28.24/18.75 tff(21239,plain,
% 28.24/18.75 (((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145)) <=> (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 28.24/18.75 inference(rewrite,[status(thm)],[])).
% 28.24/18.75 tff(21240,plain,
% 28.24/18.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145))))),
% 28.24/18.75 inference(monotonicity,[status(thm)],[21239])).
% 28.24/18.75 tff(21241,plain,
% 28.24/18.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 28.24/18.75 inference(transitivity,[status(thm)],[21240, 21238])).
% 28.24/18.75 tff(21242,plain,
% 28.24/18.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))),
% 28.24/18.75 inference(quant_inst,[status(thm)],[])).
% 28.24/18.75 tff(21243,plain,
% 28.24/18.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145))),
% 28.24/18.75 inference(modus_ponens,[status(thm)],[21242, 21241])).
% 28.24/18.75 tff(21244,plain,
% 28.24/18.75 (~v101(constB145)),
% 28.24/18.75 inference(unit_resolution,[status(thm)],[21243, 138, 21237, 21234])).
% 28.24/18.75 tff(21245,plain,
% 28.24/18.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))),
% 28.24/18.75 inference(rewrite,[status(thm)],[])).
% 28.24/18.75 tff(21246,plain,
% 28.24/18.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))),
% 28.24/18.75 inference(quant_inst,[status(thm)],[])).
% 28.24/18.75 tff(21247,plain,
% 28.24/18.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145))),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21246, 21245])).
% 28.24/18.76 tff(21248,plain,
% 28.24/18.76 (v101(constB145) | (~v100(constB145))),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21247, 155, 21237])).
% 28.24/18.76 tff(21249,plain,
% 28.24/18.76 (~v100(constB145)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21248, 21244])).
% 28.24/18.76 tff(21250,plain,
% 28.24/18.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB144, 2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB144, 2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 2))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21251,plain,
% 28.24/18.76 (((~nextState(constB144, constB145)) | (~v90(constB144, 2)) | v100(constB145) | v90(constB145, 2)) <=> ((~v90(constB144, 2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 2))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21252,plain,
% 28.24/18.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, 2)) | v100(constB145) | v90(constB145, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB144, 2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 2)))),
% 28.24/18.76 inference(monotonicity,[status(thm)],[21251])).
% 28.24/18.76 tff(21253,plain,
% 28.24/18.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, 2)) | v100(constB145) | v90(constB145, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB144, 2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 2))),
% 28.24/18.76 inference(transitivity,[status(thm)],[21252, 21250])).
% 28.24/18.76 tff(21254,plain,
% 28.24/18.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, 2)) | v100(constB145) | v90(constB145, 2))),
% 28.24/18.76 inference(quant_inst,[status(thm)],[])).
% 28.24/18.76 tff(21255,plain,
% 28.24/18.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB144, 2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 2)),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21254, 21253])).
% 28.24/18.76 tff(21256,plain,
% 28.24/18.76 ((~v90(constB144, 2)) | v100(constB145) | v90(constB145, 2)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21255, 1546, 21237])).
% 28.24/18.76 tff(21257,plain,
% 28.24/18.76 ((~v90(constB144, 2)) | v90(constB145, 2)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21256, 21249])).
% 28.24/18.76 tff(21258,plain,
% 28.24/18.76 (v90(constB145, 2)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21257, 21231])).
% 28.24/18.76 tff(21259,plain,
% 28.24/18.76 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB143)) | v130(constB143, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB143)) | v130(constB143, 1))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21260,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB143)) | v130(constB143, 1))),
% 28.24/18.76 inference(quant_inst,[status(thm)],[])).
% 28.24/18.76 tff(21261,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB143)) | v130(constB143, 1)),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21260, 21259])).
% 28.24/18.76 tff(21262,plain,
% 28.24/18.76 (v130(constB143, 1)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21261, 1929, 21209])).
% 28.24/18.76 tff(21263,plain,
% 28.24/18.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB143) | (~v130(constB143, 1)) | v127(constB143, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB143) | (~v130(constB143, 1)) | v127(constB143, 1))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21264,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB143) | (~v130(constB143, 1)) | v127(constB143, 1))),
% 28.24/18.76 inference(quant_inst,[status(thm)],[])).
% 28.24/18.76 tff(21265,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB143) | (~v130(constB143, 1)) | v127(constB143, 1)),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21264, 21263])).
% 28.24/18.76 tff(21266,plain,
% 28.24/18.76 ((~v130(constB143, 1)) | v127(constB143, 1)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21265, 855, 21094])).
% 28.24/18.76 tff(21267,plain,
% 28.24/18.76 (v127(constB143, 1)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21266, 21262])).
% 28.24/18.76 tff(21268,plain,
% 28.24/18.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB143, constB144)) | (~v127(constB143, 1)) | v129(constB144, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB143, constB144)) | (~v127(constB143, 1)) | v129(constB144, 1))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21269,plain,
% 28.24/18.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB143, constB144)) | (~v127(constB143, 1)) | v129(constB144, 1))),
% 28.24/18.76 inference(quant_inst,[status(thm)],[])).
% 28.24/18.76 tff(21270,plain,
% 28.24/18.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB143, constB144)) | (~v127(constB143, 1)) | v129(constB144, 1)),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21269, 21268])).
% 28.24/18.76 tff(21271,plain,
% 28.24/18.76 ((~v127(constB143, 1)) | v129(constB144, 1)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21270, 870, 21112])).
% 28.24/18.76 tff(21272,plain,
% 28.24/18.76 (v129(constB144, 1)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21271, 21267])).
% 28.24/18.76 tff(21273,plain,
% 28.24/18.76 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB144, 1) | (~v129(constB144, 1)) | (~v100(constB144)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB144, 1) | (~v129(constB144, 1)) | (~v100(constB144)))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21274,plain,
% 28.24/18.76 ((v90(constB144, 1) | (~v100(constB144)) | (~v129(constB144, 1))) <=> (v90(constB144, 1) | (~v129(constB144, 1)) | (~v100(constB144)))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21275,plain,
% 28.24/18.76 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB144, 1) | (~v100(constB144)) | (~v129(constB144, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB144, 1) | (~v129(constB144, 1)) | (~v100(constB144))))),
% 28.24/18.76 inference(monotonicity,[status(thm)],[21274])).
% 28.24/18.76 tff(21276,plain,
% 28.24/18.76 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB144, 1) | (~v100(constB144)) | (~v129(constB144, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB144, 1) | (~v129(constB144, 1)) | (~v100(constB144)))),
% 28.24/18.76 inference(transitivity,[status(thm)],[21275, 21273])).
% 28.24/18.76 tff(21277,plain,
% 28.24/18.76 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB144, 1) | (~v100(constB144)) | (~v129(constB144, 1)))),
% 28.24/18.76 inference(quant_inst,[status(thm)],[])).
% 28.24/18.76 tff(21278,plain,
% 28.24/18.76 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB144, 1) | (~v129(constB144, 1)) | (~v100(constB144))),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21277, 21276])).
% 28.24/18.76 tff(21279,plain,
% 28.24/18.76 (v90(constB144, 1) | (~v100(constB144))),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21278, 885, 21272])).
% 28.24/18.76 tff(21280,plain,
% 28.24/18.76 (v90(constB144, 1)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21279, 21146])).
% 28.24/18.76 tff(21281,plain,
% 28.24/18.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB144, 1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB144, 1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 1))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21282,plain,
% 28.24/18.76 (((~nextState(constB144, constB145)) | (~v90(constB144, 1)) | v100(constB145) | v90(constB145, 1)) <=> ((~v90(constB144, 1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 1))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21283,plain,
% 28.24/18.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, 1)) | v100(constB145) | v90(constB145, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB144, 1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 1)))),
% 28.24/18.76 inference(monotonicity,[status(thm)],[21282])).
% 28.24/18.76 tff(21284,plain,
% 28.24/18.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, 1)) | v100(constB145) | v90(constB145, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB144, 1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 1))),
% 28.24/18.76 inference(transitivity,[status(thm)],[21283, 21281])).
% 28.24/18.76 tff(21285,plain,
% 28.24/18.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, 1)) | v100(constB145) | v90(constB145, 1))),
% 28.24/18.76 inference(quant_inst,[status(thm)],[])).
% 28.24/18.76 tff(21286,plain,
% 28.24/18.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB144, 1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 1)),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21285, 21284])).
% 28.24/18.76 tff(21287,plain,
% 28.24/18.76 ((~v90(constB144, 1)) | v100(constB145) | v90(constB145, 1)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21286, 903, 21237])).
% 28.24/18.76 tff(21288,plain,
% 28.24/18.76 ((~v90(constB144, 1)) | v90(constB145, 1)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21287, 21249])).
% 28.24/18.76 tff(21289,plain,
% 28.24/18.76 (v90(constB145, 1)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21288, 21280])).
% 28.24/18.76 tff(21290,plain,
% 28.24/18.76 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB143)) | (~v130(constB143, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB143)) | (~v130(constB143, 0)))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21291,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB143)) | (~v130(constB143, 0)))),
% 28.24/18.76 inference(quant_inst,[status(thm)],[])).
% 28.24/18.76 tff(21292,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB143)) | (~v130(constB143, 0))),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21291, 21290])).
% 28.24/18.76 tff(21293,plain,
% 28.24/18.76 (~v130(constB143, 0)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21292, 1967, 21209])).
% 28.24/18.76 tff(21294,plain,
% 28.24/18.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB143, 0)) | v26(constB143) | v130(constB143, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB143, 0)) | v26(constB143) | v130(constB143, 0))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21295,plain,
% 28.24/18.76 ((v26(constB143) | v130(constB143, 0) | (~v127(constB143, 0))) <=> ((~v127(constB143, 0)) | v26(constB143) | v130(constB143, 0))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21296,plain,
% 28.24/18.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB143) | v130(constB143, 0) | (~v127(constB143, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB143, 0)) | v26(constB143) | v130(constB143, 0)))),
% 28.24/18.76 inference(monotonicity,[status(thm)],[21295])).
% 28.24/18.76 tff(21297,plain,
% 28.24/18.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB143) | v130(constB143, 0) | (~v127(constB143, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB143, 0)) | v26(constB143) | v130(constB143, 0))),
% 28.24/18.76 inference(transitivity,[status(thm)],[21296, 21294])).
% 28.24/18.76 tff(21298,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB143) | v130(constB143, 0) | (~v127(constB143, 0)))),
% 28.24/18.76 inference(quant_inst,[status(thm)],[])).
% 28.24/18.76 tff(21299,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB143, 0)) | v26(constB143) | v130(constB143, 0)),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21298, 21297])).
% 28.24/18.76 tff(21300,plain,
% 28.24/18.76 ((~v127(constB143, 0)) | v130(constB143, 0)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21299, 933, 21094])).
% 28.24/18.76 tff(21301,plain,
% 28.24/18.76 (~v127(constB143, 0)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21300, 21293])).
% 28.24/18.76 tff(21302,plain,
% 28.24/18.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB143, constB144)) | v127(constB143, 0) | (~v129(constB144, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB143, constB144)) | v127(constB143, 0) | (~v129(constB144, 0)))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21303,plain,
% 28.24/18.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB143, constB144)) | v127(constB143, 0) | (~v129(constB144, 0)))),
% 28.24/18.76 inference(quant_inst,[status(thm)],[])).
% 28.24/18.76 tff(21304,plain,
% 28.24/18.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB143, constB144)) | v127(constB143, 0) | (~v129(constB144, 0))),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21303, 21302])).
% 28.24/18.76 tff(21305,plain,
% 28.24/18.76 (v127(constB143, 0) | (~v129(constB144, 0))),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21304, 951, 21112])).
% 28.24/18.76 tff(21306,plain,
% 28.24/18.76 (~v129(constB144, 0)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21305, 21301])).
% 28.24/18.76 tff(21307,plain,
% 28.24/18.76 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB144, 0)) | v129(constB144, 0) | (~v100(constB144)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB144, 0)) | v129(constB144, 0) | (~v100(constB144)))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21308,plain,
% 28.24/18.76 (((~v90(constB144, 0)) | (~v100(constB144)) | v129(constB144, 0)) <=> ((~v90(constB144, 0)) | v129(constB144, 0) | (~v100(constB144)))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21309,plain,
% 28.24/18.76 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB144, 0)) | (~v100(constB144)) | v129(constB144, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB144, 0)) | v129(constB144, 0) | (~v100(constB144))))),
% 28.24/18.76 inference(monotonicity,[status(thm)],[21308])).
% 28.24/18.76 tff(21310,plain,
% 28.24/18.76 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB144, 0)) | (~v100(constB144)) | v129(constB144, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB144, 0)) | v129(constB144, 0) | (~v100(constB144)))),
% 28.24/18.76 inference(transitivity,[status(thm)],[21309, 21307])).
% 28.24/18.76 tff(21311,plain,
% 28.24/18.76 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB144, 0)) | (~v100(constB144)) | v129(constB144, 0))),
% 28.24/18.76 inference(quant_inst,[status(thm)],[])).
% 28.24/18.76 tff(21312,plain,
% 28.24/18.76 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB144, 0)) | v129(constB144, 0) | (~v100(constB144))),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21311, 21310])).
% 28.24/18.76 tff(21313,plain,
% 28.24/18.76 ((~v90(constB144, 0)) | (~v100(constB144))),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21312, 966, 21306])).
% 28.24/18.76 tff(21314,plain,
% 28.24/18.76 (~v90(constB144, 0)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21313, 21146])).
% 28.24/18.76 tff(21315,plain,
% 28.24/18.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB144, 0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB144, 0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 0)))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21316,plain,
% 28.24/18.76 (((~nextState(constB144, constB145)) | v90(constB144, 0) | v100(constB145) | (~v90(constB145, 0))) <=> (v90(constB144, 0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 0)))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21317,plain,
% 28.24/18.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB144, constB145)) | v90(constB144, 0) | v100(constB145) | (~v90(constB145, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB144, 0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 0))))),
% 28.24/18.76 inference(monotonicity,[status(thm)],[21316])).
% 28.24/18.76 tff(21318,plain,
% 28.24/18.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB144, constB145)) | v90(constB144, 0) | v100(constB145) | (~v90(constB145, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB144, 0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 0)))),
% 28.24/18.76 inference(transitivity,[status(thm)],[21317, 21315])).
% 28.24/18.76 tff(21319,plain,
% 28.24/18.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB144, constB145)) | v90(constB144, 0) | v100(constB145) | (~v90(constB145, 0)))),
% 28.24/18.76 inference(quant_inst,[status(thm)],[])).
% 28.24/18.76 tff(21320,plain,
% 28.24/18.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB144, 0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 0))),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21319, 21318])).
% 28.24/18.76 tff(21321,plain,
% 28.24/18.76 (v90(constB144, 0) | v100(constB145) | (~v90(constB145, 0))),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21320, 212, 21237])).
% 28.24/18.76 tff(21322,plain,
% 28.24/18.76 (v90(constB144, 0) | (~v90(constB145, 0))),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21321, 21249])).
% 28.24/18.76 tff(21323,plain,
% 28.24/18.76 (~v90(constB145, 0)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21322, 21314])).
% 28.24/18.76 tff(21324,plain,
% 28.24/18.76 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB145, 0) | (~v90(constB145, 1)) | (~v90(constB145, 2)) | v125(constB145))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB145, 0) | (~v90(constB145, 1)) | (~v90(constB145, 2)) | v125(constB145))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21325,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB145, 0) | (~v90(constB145, 1)) | (~v90(constB145, 2)) | v125(constB145))),
% 28.24/18.76 inference(quant_inst,[status(thm)],[])).
% 28.24/18.76 tff(21326,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB145, 0) | (~v90(constB145, 1)) | (~v90(constB145, 2)) | v125(constB145)),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21325, 21324])).
% 28.24/18.76 tff(21327,plain,
% 28.24/18.76 (v125(constB145)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21326, 2011, 21323, 21289, 21258])).
% 28.24/18.76 tff(21328,plain,
% 28.24/18.76 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB145) | (~v125(constB145)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB145) | (~v125(constB145)))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21329,plain,
% 28.24/18.76 (((~v125(constB145)) | v113(constB145)) <=> (v113(constB145) | (~v125(constB145)))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21330,plain,
% 28.24/18.76 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB145)) | v113(constB145))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB145) | (~v125(constB145))))),
% 28.24/18.76 inference(monotonicity,[status(thm)],[21329])).
% 28.24/18.76 tff(21331,plain,
% 28.24/18.76 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB145)) | v113(constB145))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB145) | (~v125(constB145)))),
% 28.24/18.76 inference(transitivity,[status(thm)],[21330, 21328])).
% 28.24/18.76 tff(21332,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB145)) | v113(constB145))),
% 28.24/18.76 inference(quant_inst,[status(thm)],[])).
% 28.24/18.76 tff(21333,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB145) | (~v125(constB145))),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21332, 21331])).
% 28.24/18.76 tff(21334,plain,
% 28.24/18.76 (v113(constB145)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21333, 2022, 21327])).
% 28.24/18.76 tff(21335,assumption,(v26(constB145)), introduced(assumption)).
% 28.24/18.76 tff(21336,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB145))),
% 28.24/18.76 inference(quant_inst,[status(thm)],[])).
% 28.24/18.76 tff(21337,plain,
% 28.24/18.76 ($false),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21336, 95, 21335])).
% 28.24/18.76 tff(21338,plain,(~v26(constB145)), inference(lemma,lemma(discharge,[]))).
% 28.24/18.76 tff(21339,plain,
% 28.24/18.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | v112(constB145) | (~v113(constB145)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | v112(constB145) | (~v113(constB145)))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21340,plain,
% 28.24/18.76 ((v26(constB145) | (~v113(constB145)) | v112(constB145)) <=> (v26(constB145) | v112(constB145) | (~v113(constB145)))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21341,plain,
% 28.24/18.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | v112(constB145) | (~v113(constB145))))),
% 28.24/18.76 inference(monotonicity,[status(thm)],[21340])).
% 28.24/18.76 tff(21342,plain,
% 28.24/18.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | v112(constB145) | (~v113(constB145)))),
% 28.24/18.76 inference(transitivity,[status(thm)],[21341, 21339])).
% 28.24/18.76 tff(21343,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))),
% 28.24/18.76 inference(quant_inst,[status(thm)],[])).
% 28.24/18.76 tff(21344,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | v112(constB145) | (~v113(constB145))),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21343, 21342])).
% 28.24/18.76 tff(21345,plain,
% 28.24/18.76 (v112(constB145) | (~v113(constB145))),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21344, 328, 21338])).
% 28.24/18.76 tff(21346,plain,
% 28.24/18.76 (v112(constB145)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21345, 21334])).
% 28.24/18.76 tff(21347,plain,
% 28.24/18.76 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB145) | (~v112(constB145)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB145) | (~v112(constB145)))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21348,plain,
% 28.24/18.76 (((~v112(constB145)) | v108(constB145)) <=> (v108(constB145) | (~v112(constB145)))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21349,plain,
% 28.24/18.76 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB145)) | v108(constB145))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB145) | (~v112(constB145))))),
% 28.24/18.76 inference(monotonicity,[status(thm)],[21348])).
% 28.24/18.76 tff(21350,plain,
% 28.24/18.76 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB145)) | v108(constB145))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB145) | (~v112(constB145)))),
% 28.24/18.76 inference(transitivity,[status(thm)],[21349, 21347])).
% 28.24/18.76 tff(21351,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB145)) | v108(constB145))),
% 28.24/18.76 inference(quant_inst,[status(thm)],[])).
% 28.24/18.76 tff(21352,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB145) | (~v112(constB145))),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21351, 21350])).
% 28.24/18.76 tff(21353,plain,
% 28.24/18.76 (v108(constB145)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21352, 340, 21346])).
% 28.24/18.76 tff(21354,plain,
% 28.24/18.76 (nextState(constB145, constB146) <=> nextState(constB145, constB146)),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21355,axiom,(nextState(constB145, constB146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_145_1')).
% 28.24/18.76 tff(21356,plain,
% 28.24/18.76 (nextState(constB145, constB146)),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21355, 21354])).
% 28.24/18.76 tff(21357,plain,
% 28.24/18.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21358,plain,
% 28.24/18.76 (((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146)) <=> ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21359,plain,
% 28.24/18.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145))))),
% 28.24/18.76 inference(monotonicity,[status(thm)],[21358])).
% 28.24/18.76 tff(21360,plain,
% 28.24/18.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 28.24/18.76 inference(transitivity,[status(thm)],[21359, 21357])).
% 28.24/18.76 tff(21361,plain,
% 28.24/18.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))),
% 28.24/18.76 inference(quant_inst,[status(thm)],[])).
% 28.24/18.76 tff(21362,plain,
% 28.24/18.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145))),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21361, 21360])).
% 28.24/18.76 tff(21363,plain,
% 28.24/18.76 (v110(constB146) | (~v108(constB145))),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21362, 360, 21356])).
% 28.24/18.76 tff(21364,plain,
% 28.24/18.76 (v110(constB146)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21363, 21353])).
% 28.24/18.76 tff(21365,plain,
% 28.24/18.76 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21366,plain,
% 28.24/18.76 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))),
% 28.24/18.76 inference(quant_inst,[status(thm)],[])).
% 28.24/18.76 tff(21367,plain,
% 28.24/18.76 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146))),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21366, 21365])).
% 28.24/18.76 tff(21368,plain,
% 28.24/18.76 (~v104(constB146)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21367, 378, 21356, 21234])).
% 28.24/18.76 tff(21369,plain,
% 28.24/18.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21370,plain,
% 28.24/18.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))),
% 28.24/18.76 inference(quant_inst,[status(thm)],[])).
% 28.24/18.76 tff(21371,plain,
% 28.24/18.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB145, constB146)) | v102(constB146) | v104(constB146)),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21370, 21369])).
% 28.24/18.76 tff(21372,plain,
% 28.24/18.76 (v102(constB146) | v104(constB146)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21371, 392, 21356])).
% 28.24/18.76 tff(21373,plain,
% 28.24/18.76 (v102(constB146)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21372, 21368])).
% 28.24/18.76 tff(21374,plain,
% 28.24/18.76 (v1(constB146) <=> v1(constB146)),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21375,axiom,(v1(constB146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_146_1')).
% 28.24/18.76 tff(21376,plain,
% 28.24/18.76 (v1(constB146)),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21375, 21374])).
% 28.24/18.76 tff(21377,plain,
% 28.24/18.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21378,plain,
% 28.24/18.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))),
% 28.24/18.76 inference(quant_inst,[status(thm)],[])).
% 28.24/18.76 tff(21379,plain,
% 28.24/18.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146))),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21378, 21377])).
% 28.24/18.76 tff(21380,plain,
% 28.24/18.76 (v101(constB146) | (~v102(constB146))),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21379, 410, 21356, 21376])).
% 28.24/18.76 tff(21381,plain,
% 28.24/18.76 (v101(constB146)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21380, 21373])).
% 28.24/18.76 tff(21382,plain,
% 28.24/18.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21383,plain,
% 28.24/18.76 (((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146)) <=> ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21384,plain,
% 28.24/18.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146))))),
% 28.24/18.76 inference(monotonicity,[status(thm)],[21383])).
% 28.24/18.76 tff(21385,plain,
% 28.24/18.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 28.24/18.76 inference(transitivity,[status(thm)],[21384, 21382])).
% 28.24/18.76 tff(21386,plain,
% 28.24/18.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))),
% 28.24/18.76 inference(quant_inst,[status(thm)],[])).
% 28.24/18.76 tff(21387,plain,
% 28.24/18.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146))),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21386, 21385])).
% 28.24/18.76 tff(21388,plain,
% 28.24/18.76 (v100(constB146) | (~v101(constB146)) | (~v110(constB146))),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21387, 425, 21356])).
% 28.24/18.76 tff(21389,plain,
% 28.24/18.76 (v100(constB146) | (~v110(constB146))),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21388, 21381])).
% 28.24/18.76 tff(21390,plain,
% 28.24/18.76 (v100(constB146)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21389, 21364])).
% 28.24/18.76 tff(21391,plain,
% 28.24/18.76 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB145)) | (~v90(constB145, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB145)) | (~v90(constB145, 2)))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21392,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB145)) | (~v90(constB145, 2)))),
% 28.24/18.76 inference(quant_inst,[status(thm)],[])).
% 28.24/18.76 tff(21393,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB145)) | (~v90(constB145, 2))),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21392, 21391])).
% 28.24/18.76 tff(21394,plain,
% 28.24/18.76 (~v122(constB145)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21393, 2119, 21258])).
% 28.24/18.76 tff(21395,plain,
% 28.24/18.76 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB145)) | (~v90(constB145, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB145)) | (~v90(constB145, 1)))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21396,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB145)) | (~v90(constB145, 1)))),
% 28.24/18.76 inference(quant_inst,[status(thm)],[])).
% 28.24/18.76 tff(21397,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB145)) | (~v90(constB145, 1))),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21396, 21395])).
% 28.24/18.76 tff(21398,plain,
% 28.24/18.76 (~v120(constB145)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21397, 2141, 21289])).
% 28.24/18.76 tff(21399,plain,
% 28.24/18.76 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB145)) | (~v90(constB145, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB145)) | (~v90(constB145, 1)))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21400,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB145)) | (~v90(constB145, 1)))),
% 28.24/18.76 inference(quant_inst,[status(thm)],[])).
% 28.24/18.76 tff(21401,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB145)) | (~v90(constB145, 1))),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21400, 21399])).
% 28.24/18.76 tff(21402,plain,
% 28.24/18.76 (~v119(constB145)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21401, 2086, 21289])).
% 28.24/18.76 tff(21403,plain,
% 28.24/18.76 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB145)) | (~v90(constB145, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB145)) | (~v90(constB145, 2)))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21404,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB145)) | (~v90(constB145, 2)))),
% 28.24/18.76 inference(quant_inst,[status(thm)],[])).
% 28.24/18.76 tff(21405,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB145)) | (~v90(constB145, 2))),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21404, 21403])).
% 28.24/18.76 tff(21406,plain,
% 28.24/18.76 (~v121(constB145)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21405, 2130, 21258])).
% 28.24/18.76 tff(21407,plain,
% 28.24/18.76 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB145)) | (~v90(constB145, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB145)) | (~v90(constB145, 1)))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21408,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB145)) | (~v90(constB145, 1)))),
% 28.24/18.76 inference(quant_inst,[status(thm)],[])).
% 28.24/18.76 tff(21409,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB145)) | (~v90(constB145, 1))),
% 28.24/18.76 inference(modus_ponens,[status(thm)],[21408, 21407])).
% 28.24/18.76 tff(21410,plain,
% 28.24/18.76 (~v123(constB145)),
% 28.24/18.76 inference(unit_resolution,[status(thm)],[21409, 2108, 21289])).
% 28.24/18.76 tff(21411,plain,
% 28.24/18.76 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB145)) | (~v90(constB145, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB145)) | (~v90(constB145, 1)))),
% 28.24/18.76 inference(rewrite,[status(thm)],[])).
% 28.24/18.76 tff(21412,plain,
% 28.24/18.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB145)) | (~v90(constB145, 1)))),
% 28.24/18.76 inference(quant_inst,[status(thm)],[])).
% 28.24/18.76 tff(21413,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB145)) | (~v90(constB145, 1))),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21412, 21411])).
% 28.24/18.77 tff(21414,plain,
% 28.24/18.77 (~v124(constB145)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21413, 2097, 21289])).
% 28.24/18.77 tff(21415,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 2)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21416,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 2)))),
% 28.24/18.77 inference(quant_inst,[status(thm)],[])).
% 28.24/18.77 tff(21417,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 2))),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21416, 21415])).
% 28.24/18.77 tff(21418,plain,
% 28.24/18.77 (~v130(constB145, 2)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21417, 2155, 21414, 21410, 21406, 21402, 21398, 21394])).
% 28.24/18.77 tff(21419,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB145, 2)) | v26(constB145) | v130(constB145, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB145, 2)) | v26(constB145) | v130(constB145, 2))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21420,plain,
% 28.24/18.77 ((v26(constB145) | v130(constB145, 2) | (~v127(constB145, 2))) <=> ((~v127(constB145, 2)) | v26(constB145) | v130(constB145, 2))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21421,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB145) | v130(constB145, 2) | (~v127(constB145, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB145, 2)) | v26(constB145) | v130(constB145, 2)))),
% 28.24/18.77 inference(monotonicity,[status(thm)],[21420])).
% 28.24/18.77 tff(21422,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB145) | v130(constB145, 2) | (~v127(constB145, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB145, 2)) | v26(constB145) | v130(constB145, 2))),
% 28.24/18.77 inference(transitivity,[status(thm)],[21421, 21419])).
% 28.24/18.77 tff(21423,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB145) | v130(constB145, 2) | (~v127(constB145, 2)))),
% 28.24/18.77 inference(quant_inst,[status(thm)],[])).
% 28.24/18.77 tff(21424,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB145, 2)) | v26(constB145) | v130(constB145, 2)),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21423, 21422])).
% 28.24/18.77 tff(21425,plain,
% 28.24/18.77 ((~v127(constB145, 2)) | v130(constB145, 2)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21424, 455, 21338])).
% 28.24/18.77 tff(21426,plain,
% 28.24/18.77 (~v127(constB145, 2)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21425, 21418])).
% 28.24/18.77 tff(21427,plain,
% 28.24/18.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB145, constB146)) | v127(constB145, 2) | (~v129(constB146, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB145, constB146)) | v127(constB145, 2) | (~v129(constB146, 2)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21428,plain,
% 28.24/18.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB145, constB146)) | v127(constB145, 2) | (~v129(constB146, 2)))),
% 28.24/18.77 inference(quant_inst,[status(thm)],[])).
% 28.24/18.77 tff(21429,plain,
% 28.24/18.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB145, constB146)) | v127(constB145, 2) | (~v129(constB146, 2))),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21428, 21427])).
% 28.24/18.77 tff(21430,plain,
% 28.24/18.77 (v127(constB145, 2) | (~v129(constB146, 2))),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21429, 473, 21356])).
% 28.24/18.77 tff(21431,plain,
% 28.24/18.77 (~v129(constB146, 2)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21430, 21426])).
% 28.24/18.77 tff(21432,plain,
% 28.24/18.77 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB146, 2)) | v129(constB146, 2) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB146, 2)) | v129(constB146, 2) | (~v100(constB146)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21433,plain,
% 28.24/18.77 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB146, 2)) | v129(constB146, 2) | (~v100(constB146)))),
% 28.24/18.77 inference(quant_inst,[status(thm)],[])).
% 28.24/18.77 tff(21434,plain,
% 28.24/18.77 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB146, 2)) | v129(constB146, 2) | (~v100(constB146))),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21433, 21432])).
% 28.24/18.77 tff(21435,plain,
% 28.24/18.77 ((~v90(constB146, 2)) | (~v100(constB146))),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21434, 488, 21431])).
% 28.24/18.77 tff(21436,plain,
% 28.24/18.77 (~v90(constB146, 2)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21435, 21390])).
% 28.24/18.77 tff(21437,plain,
% 28.24/18.77 ((~v1(constB147)) <=> (~v1(constB147))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21438,axiom,(~v1(constB147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_147_1_1')).
% 28.24/18.77 tff(21439,plain,
% 28.24/18.77 (~v1(constB147)),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21438, 21437])).
% 28.24/18.77 tff(21440,plain,
% 28.24/18.77 (nextState(constB146, constB147) <=> nextState(constB146, constB147)),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21441,axiom,(nextState(constB146, constB147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_146_1')).
% 28.24/18.77 tff(21442,plain,
% 28.24/18.77 (nextState(constB146, constB147)),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21441, 21440])).
% 28.24/18.77 tff(21443,plain,
% 28.24/18.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21444,plain,
% 28.24/18.77 (((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147)) <=> (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21445,plain,
% 28.24/18.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147))))),
% 28.24/18.77 inference(monotonicity,[status(thm)],[21444])).
% 28.24/18.77 tff(21446,plain,
% 28.24/18.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 28.24/18.77 inference(transitivity,[status(thm)],[21445, 21443])).
% 28.24/18.77 tff(21447,plain,
% 28.24/18.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))),
% 28.24/18.77 inference(quant_inst,[status(thm)],[])).
% 28.24/18.77 tff(21448,plain,
% 28.24/18.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147))),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21447, 21446])).
% 28.24/18.77 tff(21449,plain,
% 28.24/18.77 (~v101(constB147)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21448, 138, 21442, 21439])).
% 28.24/18.77 tff(21450,plain,
% 28.24/18.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21451,plain,
% 28.24/18.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))),
% 28.24/18.77 inference(quant_inst,[status(thm)],[])).
% 28.24/18.77 tff(21452,plain,
% 28.24/18.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147))),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21451, 21450])).
% 28.24/18.77 tff(21453,plain,
% 28.24/18.77 (v101(constB147) | (~v100(constB147))),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21452, 155, 21442])).
% 28.24/18.77 tff(21454,plain,
% 28.24/18.77 (~v100(constB147)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21453, 21449])).
% 28.24/18.77 tff(21455,plain,
% 28.24/18.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB146, 2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB146, 2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 2)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21456,plain,
% 28.24/18.77 (((~nextState(constB146, constB147)) | v90(constB146, 2) | v100(constB147) | (~v90(constB147, 2))) <=> (v90(constB146, 2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 2)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21457,plain,
% 28.24/18.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB146, constB147)) | v90(constB146, 2) | v100(constB147) | (~v90(constB147, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB146, 2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 2))))),
% 28.24/18.77 inference(monotonicity,[status(thm)],[21456])).
% 28.24/18.77 tff(21458,plain,
% 28.24/18.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB146, constB147)) | v90(constB146, 2) | v100(constB147) | (~v90(constB147, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB146, 2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 2)))),
% 28.24/18.77 inference(transitivity,[status(thm)],[21457, 21455])).
% 28.24/18.77 tff(21459,plain,
% 28.24/18.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB146, constB147)) | v90(constB146, 2) | v100(constB147) | (~v90(constB147, 2)))),
% 28.24/18.77 inference(quant_inst,[status(thm)],[])).
% 28.24/18.77 tff(21460,plain,
% 28.24/18.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB146, 2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 2))),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21459, 21458])).
% 28.24/18.77 tff(21461,plain,
% 28.24/18.77 (v90(constB146, 2) | v100(constB147) | (~v90(constB147, 2))),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21460, 170, 21442])).
% 28.24/18.77 tff(21462,plain,
% 28.24/18.77 (v90(constB146, 2) | (~v90(constB147, 2))),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21461, 21454])).
% 28.24/18.77 tff(21463,plain,
% 28.24/18.77 (~v90(constB147, 2)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21462, 21436])).
% 28.24/18.77 tff(21464,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 1)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21465,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 1)))),
% 28.24/18.77 inference(quant_inst,[status(thm)],[])).
% 28.24/18.77 tff(21466,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 1))),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21465, 21464])).
% 28.24/18.77 tff(21467,plain,
% 28.24/18.77 (~v130(constB145, 1)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21466, 2214, 21414, 21410, 21406, 21402, 21398, 21394])).
% 28.24/18.77 tff(21468,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB145, 1)) | v26(constB145) | v130(constB145, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB145, 1)) | v26(constB145) | v130(constB145, 1))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21469,plain,
% 28.24/18.77 ((v26(constB145) | v130(constB145, 1) | (~v127(constB145, 1))) <=> ((~v127(constB145, 1)) | v26(constB145) | v130(constB145, 1))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21470,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB145) | v130(constB145, 1) | (~v127(constB145, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB145, 1)) | v26(constB145) | v130(constB145, 1)))),
% 28.24/18.77 inference(monotonicity,[status(thm)],[21469])).
% 28.24/18.77 tff(21471,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB145) | v130(constB145, 1) | (~v127(constB145, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB145, 1)) | v26(constB145) | v130(constB145, 1))),
% 28.24/18.77 inference(transitivity,[status(thm)],[21470, 21468])).
% 28.24/18.77 tff(21472,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB145) | v130(constB145, 1) | (~v127(constB145, 1)))),
% 28.24/18.77 inference(quant_inst,[status(thm)],[])).
% 28.24/18.77 tff(21473,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB145, 1)) | v26(constB145) | v130(constB145, 1)),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21472, 21471])).
% 28.24/18.77 tff(21474,plain,
% 28.24/18.77 ((~v127(constB145, 1)) | v130(constB145, 1)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21473, 541, 21338])).
% 28.24/18.77 tff(21475,plain,
% 28.24/18.77 (~v127(constB145, 1)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21474, 21467])).
% 28.24/18.77 tff(21476,plain,
% 28.24/18.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB145, constB146)) | v127(constB145, 1) | (~v129(constB146, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB145, constB146)) | v127(constB145, 1) | (~v129(constB146, 1)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21477,plain,
% 28.24/18.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB145, constB146)) | v127(constB145, 1) | (~v129(constB146, 1)))),
% 28.24/18.77 inference(quant_inst,[status(thm)],[])).
% 28.24/18.77 tff(21478,plain,
% 28.24/18.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB145, constB146)) | v127(constB145, 1) | (~v129(constB146, 1))),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21477, 21476])).
% 28.24/18.77 tff(21479,plain,
% 28.24/18.77 (v127(constB145, 1) | (~v129(constB146, 1))),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21478, 559, 21356])).
% 28.24/18.77 tff(21480,plain,
% 28.24/18.77 (~v129(constB146, 1)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21479, 21475])).
% 28.24/18.77 tff(21481,plain,
% 28.24/18.77 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB146, 1)) | v129(constB146, 1) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB146, 1)) | v129(constB146, 1) | (~v100(constB146)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21482,plain,
% 28.24/18.77 (((~v90(constB146, 1)) | (~v100(constB146)) | v129(constB146, 1)) <=> ((~v90(constB146, 1)) | v129(constB146, 1) | (~v100(constB146)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21483,plain,
% 28.24/18.77 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB146, 1)) | (~v100(constB146)) | v129(constB146, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB146, 1)) | v129(constB146, 1) | (~v100(constB146))))),
% 28.24/18.77 inference(monotonicity,[status(thm)],[21482])).
% 28.24/18.77 tff(21484,plain,
% 28.24/18.77 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB146, 1)) | (~v100(constB146)) | v129(constB146, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB146, 1)) | v129(constB146, 1) | (~v100(constB146)))),
% 28.24/18.77 inference(transitivity,[status(thm)],[21483, 21481])).
% 28.24/18.77 tff(21485,plain,
% 28.24/18.77 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB146, 1)) | (~v100(constB146)) | v129(constB146, 1))),
% 28.24/18.77 inference(quant_inst,[status(thm)],[])).
% 28.24/18.77 tff(21486,plain,
% 28.24/18.77 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB146, 1)) | v129(constB146, 1) | (~v100(constB146))),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21485, 21484])).
% 28.24/18.77 tff(21487,plain,
% 28.24/18.77 ((~v90(constB146, 1)) | (~v100(constB146))),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21486, 574, 21480])).
% 28.24/18.77 tff(21488,plain,
% 28.24/18.77 (~v90(constB146, 1)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21487, 21390])).
% 28.24/18.77 tff(21489,plain,
% 28.24/18.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB146, 1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB146, 1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 1)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21490,plain,
% 28.24/18.77 (((~nextState(constB146, constB147)) | v90(constB146, 1) | v100(constB147) | (~v90(constB147, 1))) <=> (v90(constB146, 1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 1)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21491,plain,
% 28.24/18.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB146, constB147)) | v90(constB146, 1) | v100(constB147) | (~v90(constB147, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB146, 1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 1))))),
% 28.24/18.77 inference(monotonicity,[status(thm)],[21490])).
% 28.24/18.77 tff(21492,plain,
% 28.24/18.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB146, constB147)) | v90(constB146, 1) | v100(constB147) | (~v90(constB147, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB146, 1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 1)))),
% 28.24/18.77 inference(transitivity,[status(thm)],[21491, 21489])).
% 28.24/18.77 tff(21493,plain,
% 28.24/18.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB146, constB147)) | v90(constB146, 1) | v100(constB147) | (~v90(constB147, 1)))),
% 28.24/18.77 inference(quant_inst,[status(thm)],[])).
% 28.24/18.77 tff(21494,plain,
% 28.24/18.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB146, 1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 1))),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21493, 21492])).
% 28.24/18.77 tff(21495,plain,
% 28.24/18.77 (v90(constB146, 1) | v100(constB147) | (~v90(constB147, 1))),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21494, 191, 21442])).
% 28.24/18.77 tff(21496,plain,
% 28.24/18.77 (v90(constB146, 1) | (~v90(constB147, 1))),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21495, 21454])).
% 28.24/18.77 tff(21497,plain,
% 28.24/18.77 (~v90(constB147, 1)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21496, 21488])).
% 28.24/18.77 tff(21498,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, 0))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21499,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, 0))),
% 28.24/18.77 inference(quant_inst,[status(thm)],[])).
% 28.24/18.77 tff(21500,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, 0)),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21499, 21498])).
% 28.24/18.77 tff(21501,plain,
% 28.24/18.77 (v130(constB145, 0)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21500, 2258, 21414, 21410, 21406, 21402, 21398, 21394])).
% 28.24/18.77 tff(21502,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB145) | (~v130(constB145, 0)) | v127(constB145, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB145) | (~v130(constB145, 0)) | v127(constB145, 0))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21503,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB145) | (~v130(constB145, 0)) | v127(constB145, 0))),
% 28.24/18.77 inference(quant_inst,[status(thm)],[])).
% 28.24/18.77 tff(21504,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB145) | (~v130(constB145, 0)) | v127(constB145, 0)),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21503, 21502])).
% 28.24/18.77 tff(21505,plain,
% 28.24/18.77 ((~v130(constB145, 0)) | v127(constB145, 0)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21504, 612, 21338])).
% 28.24/18.77 tff(21506,plain,
% 28.24/18.77 (v127(constB145, 0)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21505, 21501])).
% 28.24/18.77 tff(21507,plain,
% 28.24/18.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB145, constB146)) | (~v127(constB145, 0)) | v129(constB146, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB145, constB146)) | (~v127(constB145, 0)) | v129(constB146, 0))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21508,plain,
% 28.24/18.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB145, constB146)) | (~v127(constB145, 0)) | v129(constB146, 0))),
% 28.24/18.77 inference(quant_inst,[status(thm)],[])).
% 28.24/18.77 tff(21509,plain,
% 28.24/18.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB145, constB146)) | (~v127(constB145, 0)) | v129(constB146, 0)),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21508, 21507])).
% 28.24/18.77 tff(21510,plain,
% 28.24/18.77 ((~v127(constB145, 0)) | v129(constB146, 0)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21509, 627, 21356])).
% 28.24/18.77 tff(21511,plain,
% 28.24/18.77 (v129(constB146, 0)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21510, 21506])).
% 28.24/18.77 tff(21512,plain,
% 28.24/18.77 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB146, 0) | (~v129(constB146, 0)) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB146, 0) | (~v129(constB146, 0)) | (~v100(constB146)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21513,plain,
% 28.24/18.77 ((v90(constB146, 0) | (~v100(constB146)) | (~v129(constB146, 0))) <=> (v90(constB146, 0) | (~v129(constB146, 0)) | (~v100(constB146)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21514,plain,
% 28.24/18.77 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB146, 0) | (~v100(constB146)) | (~v129(constB146, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB146, 0) | (~v129(constB146, 0)) | (~v100(constB146))))),
% 28.24/18.77 inference(monotonicity,[status(thm)],[21513])).
% 28.24/18.77 tff(21515,plain,
% 28.24/18.77 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB146, 0) | (~v100(constB146)) | (~v129(constB146, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB146, 0) | (~v129(constB146, 0)) | (~v100(constB146)))),
% 28.24/18.77 inference(transitivity,[status(thm)],[21514, 21512])).
% 28.24/18.77 tff(21516,plain,
% 28.24/18.77 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB146, 0) | (~v100(constB146)) | (~v129(constB146, 0)))),
% 28.24/18.77 inference(quant_inst,[status(thm)],[])).
% 28.24/18.77 tff(21517,plain,
% 28.24/18.77 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB146, 0) | (~v129(constB146, 0)) | (~v100(constB146))),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21516, 21515])).
% 28.24/18.77 tff(21518,plain,
% 28.24/18.77 (v90(constB146, 0) | (~v100(constB146))),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21517, 642, 21511])).
% 28.24/18.77 tff(21519,plain,
% 28.24/18.77 (v90(constB146, 0)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21518, 21390])).
% 28.24/18.77 tff(21520,plain,
% 28.24/18.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB146, 0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB146, 0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 0))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21521,plain,
% 28.24/18.77 (((~nextState(constB146, constB147)) | (~v90(constB146, 0)) | v100(constB147) | v90(constB147, 0)) <=> ((~v90(constB146, 0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 0))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21522,plain,
% 28.24/18.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, 0)) | v100(constB147) | v90(constB147, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB146, 0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 0)))),
% 28.24/18.77 inference(monotonicity,[status(thm)],[21521])).
% 28.24/18.77 tff(21523,plain,
% 28.24/18.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, 0)) | v100(constB147) | v90(constB147, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB146, 0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 0))),
% 28.24/18.77 inference(transitivity,[status(thm)],[21522, 21520])).
% 28.24/18.77 tff(21524,plain,
% 28.24/18.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, 0)) | v100(constB147) | v90(constB147, 0))),
% 28.24/18.77 inference(quant_inst,[status(thm)],[])).
% 28.24/18.77 tff(21525,plain,
% 28.24/18.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB146, 0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 0)),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21524, 21523])).
% 28.24/18.77 tff(21526,plain,
% 28.24/18.77 ((~v90(constB146, 0)) | v100(constB147) | v90(constB147, 0)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21525, 660, 21442])).
% 28.24/18.77 tff(21527,plain,
% 28.24/18.77 ((~v90(constB146, 0)) | v90(constB147, 0)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21526, 21454])).
% 28.24/18.77 tff(21528,plain,
% 28.24/18.77 (v90(constB147, 0)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21527, 21519])).
% 28.24/18.77 tff(21529,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB147, 0)) | v90(constB147, 1) | v90(constB147, 2) | v120(constB147))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB147, 0)) | v90(constB147, 1) | v90(constB147, 2) | v120(constB147))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21530,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB147, 0)) | v90(constB147, 1) | v90(constB147, 2) | v120(constB147))),
% 28.24/18.77 inference(quant_inst,[status(thm)],[])).
% 28.24/18.77 tff(21531,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB147, 0)) | v90(constB147, 1) | v90(constB147, 2) | v120(constB147)),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21530, 21529])).
% 28.24/18.77 tff(21532,plain,
% 28.24/18.77 (v120(constB147)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21531, 679, 21528, 21497, 21463])).
% 28.24/18.77 tff(21533,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB147)) | v118(constB147))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB147)) | v118(constB147))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21534,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB147)) | v118(constB147))),
% 28.24/18.77 inference(quant_inst,[status(thm)],[])).
% 28.24/18.77 tff(21535,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB147)) | v118(constB147)),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21534, 21533])).
% 28.24/18.77 tff(21536,plain,
% 28.24/18.77 (v118(constB147)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21535, 690, 21532])).
% 28.24/18.77 tff(21537,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB147) | (~v118(constB147)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB147) | (~v118(constB147)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21538,plain,
% 28.24/18.77 (((~v118(constB147)) | v117(constB147)) <=> (v117(constB147) | (~v118(constB147)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21539,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB147)) | v117(constB147))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB147) | (~v118(constB147))))),
% 28.24/18.77 inference(monotonicity,[status(thm)],[21538])).
% 28.24/18.77 tff(21540,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB147)) | v117(constB147))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB147) | (~v118(constB147)))),
% 28.24/18.77 inference(transitivity,[status(thm)],[21539, 21537])).
% 28.24/18.77 tff(21541,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB147)) | v117(constB147))),
% 28.24/18.77 inference(quant_inst,[status(thm)],[])).
% 28.24/18.77 tff(21542,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB147) | (~v118(constB147))),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21541, 21540])).
% 28.24/18.77 tff(21543,plain,
% 28.24/18.77 (v117(constB147)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21542, 258, 21536])).
% 28.24/18.77 tff(21544,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB147) | (~v117(constB147)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB147) | (~v117(constB147)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21545,plain,
% 28.24/18.77 (((~v117(constB147)) | v116(constB147)) <=> (v116(constB147) | (~v117(constB147)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21546,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB147)) | v116(constB147))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB147) | (~v117(constB147))))),
% 28.24/18.77 inference(monotonicity,[status(thm)],[21545])).
% 28.24/18.77 tff(21547,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB147)) | v116(constB147))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB147) | (~v117(constB147)))),
% 28.24/18.77 inference(transitivity,[status(thm)],[21546, 21544])).
% 28.24/18.77 tff(21548,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB147)) | v116(constB147))),
% 28.24/18.77 inference(quant_inst,[status(thm)],[])).
% 28.24/18.77 tff(21549,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB147) | (~v117(constB147))),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21548, 21547])).
% 28.24/18.77 tff(21550,plain,
% 28.24/18.77 (v116(constB147)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21549, 272, 21543])).
% 28.24/18.77 tff(21551,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB147) | (~v116(constB147)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB147) | (~v116(constB147)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21552,plain,
% 28.24/18.77 (((~v116(constB147)) | v115(constB147)) <=> (v115(constB147) | (~v116(constB147)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21553,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB147)) | v115(constB147))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB147) | (~v116(constB147))))),
% 28.24/18.77 inference(monotonicity,[status(thm)],[21552])).
% 28.24/18.77 tff(21554,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB147)) | v115(constB147))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB147) | (~v116(constB147)))),
% 28.24/18.77 inference(transitivity,[status(thm)],[21553, 21551])).
% 28.24/18.77 tff(21555,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB147)) | v115(constB147))),
% 28.24/18.77 inference(quant_inst,[status(thm)],[])).
% 28.24/18.77 tff(21556,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB147) | (~v116(constB147))),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21555, 21554])).
% 28.24/18.77 tff(21557,plain,
% 28.24/18.77 (v115(constB147)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21556, 286, 21550])).
% 28.24/18.77 tff(21558,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB147) | (~v115(constB147)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB147) | (~v115(constB147)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21559,plain,
% 28.24/18.77 (((~v115(constB147)) | v114(constB147)) <=> (v114(constB147) | (~v115(constB147)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21560,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB147)) | v114(constB147))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB147) | (~v115(constB147))))),
% 28.24/18.77 inference(monotonicity,[status(thm)],[21559])).
% 28.24/18.77 tff(21561,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB147)) | v114(constB147))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB147) | (~v115(constB147)))),
% 28.24/18.77 inference(transitivity,[status(thm)],[21560, 21558])).
% 28.24/18.77 tff(21562,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB147)) | v114(constB147))),
% 28.24/18.77 inference(quant_inst,[status(thm)],[])).
% 28.24/18.77 tff(21563,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB147) | (~v115(constB147))),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21562, 21561])).
% 28.24/18.77 tff(21564,plain,
% 28.24/18.77 (v114(constB147)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21563, 300, 21557])).
% 28.24/18.77 tff(21565,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB147)) | v113(constB147))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB147)) | v113(constB147))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21566,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB147)) | v113(constB147))),
% 28.24/18.77 inference(quant_inst,[status(thm)],[])).
% 28.24/18.77 tff(21567,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB147)) | v113(constB147)),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21566, 21565])).
% 28.24/18.77 tff(21568,plain,
% 28.24/18.77 (v113(constB147)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21567, 314, 21564])).
% 28.24/18.77 tff(21569,assumption,(v26(constB147)), introduced(assumption)).
% 28.24/18.77 tff(21570,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB147))),
% 28.24/18.77 inference(quant_inst,[status(thm)],[])).
% 28.24/18.77 tff(21571,plain,
% 28.24/18.77 ($false),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21570, 95, 21569])).
% 28.24/18.77 tff(21572,plain,(~v26(constB147)), inference(lemma,lemma(discharge,[]))).
% 28.24/18.77 tff(21573,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | v112(constB147) | (~v113(constB147)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB147) | v112(constB147) | (~v113(constB147)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21574,plain,
% 28.24/18.77 ((v26(constB147) | (~v113(constB147)) | v112(constB147)) <=> (v26(constB147) | v112(constB147) | (~v113(constB147)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21575,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | (~v113(constB147)) | v112(constB147))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | v112(constB147) | (~v113(constB147))))),
% 28.24/18.77 inference(monotonicity,[status(thm)],[21574])).
% 28.24/18.77 tff(21576,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | (~v113(constB147)) | v112(constB147))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB147) | v112(constB147) | (~v113(constB147)))),
% 28.24/18.77 inference(transitivity,[status(thm)],[21575, 21573])).
% 28.24/18.77 tff(21577,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | (~v113(constB147)) | v112(constB147))),
% 28.24/18.77 inference(quant_inst,[status(thm)],[])).
% 28.24/18.77 tff(21578,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB147) | v112(constB147) | (~v113(constB147))),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21577, 21576])).
% 28.24/18.77 tff(21579,plain,
% 28.24/18.77 (v112(constB147) | (~v113(constB147))),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21578, 328, 21572])).
% 28.24/18.77 tff(21580,plain,
% 28.24/18.77 (v112(constB147)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21579, 21568])).
% 28.24/18.77 tff(21581,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB147) | (~v112(constB147)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB147) | (~v112(constB147)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21582,plain,
% 28.24/18.77 (((~v112(constB147)) | v108(constB147)) <=> (v108(constB147) | (~v112(constB147)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21583,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB147)) | v108(constB147))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB147) | (~v112(constB147))))),
% 28.24/18.77 inference(monotonicity,[status(thm)],[21582])).
% 28.24/18.77 tff(21584,plain,
% 28.24/18.77 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB147)) | v108(constB147))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB147) | (~v112(constB147)))),
% 28.24/18.77 inference(transitivity,[status(thm)],[21583, 21581])).
% 28.24/18.77 tff(21585,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB147)) | v108(constB147))),
% 28.24/18.77 inference(quant_inst,[status(thm)],[])).
% 28.24/18.77 tff(21586,plain,
% 28.24/18.77 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB147) | (~v112(constB147))),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21585, 21584])).
% 28.24/18.77 tff(21587,plain,
% 28.24/18.77 (v108(constB147)),
% 28.24/18.77 inference(unit_resolution,[status(thm)],[21586, 340, 21580])).
% 28.24/18.77 tff(21588,plain,
% 28.24/18.77 (nextState(constB147, constB148) <=> nextState(constB147, constB148)),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21589,axiom,(nextState(constB147, constB148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_147_1')).
% 28.24/18.77 tff(21590,plain,
% 28.24/18.77 (nextState(constB147, constB148)),
% 28.24/18.77 inference(modus_ponens,[status(thm)],[21589, 21588])).
% 28.24/18.77 tff(21591,plain,
% 28.24/18.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 28.24/18.77 inference(rewrite,[status(thm)],[])).
% 28.24/18.77 tff(21592,plain,
% 28.24/18.77 (((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148)) <=> ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21593,plain,
% 28.24/18.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147))))),
% 28.24/18.78 inference(monotonicity,[status(thm)],[21592])).
% 28.24/18.78 tff(21594,plain,
% 28.24/18.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 28.24/18.78 inference(transitivity,[status(thm)],[21593, 21591])).
% 28.24/18.78 tff(21595,plain,
% 28.24/18.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))),
% 28.24/18.78 inference(quant_inst,[status(thm)],[])).
% 28.24/18.78 tff(21596,plain,
% 28.24/18.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147))),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21595, 21594])).
% 28.24/18.78 tff(21597,plain,
% 28.24/18.78 (v110(constB148) | (~v108(constB147))),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21596, 360, 21590])).
% 28.24/18.78 tff(21598,plain,
% 28.24/18.78 (v110(constB148)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21597, 21587])).
% 28.24/18.78 tff(21599,plain,
% 28.24/18.78 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21600,plain,
% 28.24/18.78 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))),
% 28.24/18.78 inference(quant_inst,[status(thm)],[])).
% 28.24/18.78 tff(21601,plain,
% 28.24/18.78 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148))),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21600, 21599])).
% 28.24/18.78 tff(21602,plain,
% 28.24/18.78 (~v104(constB148)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21601, 378, 21590, 21439])).
% 28.24/18.78 tff(21603,plain,
% 28.24/18.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21604,plain,
% 28.24/18.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))),
% 28.24/18.78 inference(quant_inst,[status(thm)],[])).
% 28.24/18.78 tff(21605,plain,
% 28.24/18.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB147, constB148)) | v102(constB148) | v104(constB148)),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21604, 21603])).
% 28.24/18.78 tff(21606,plain,
% 28.24/18.78 (v102(constB148) | v104(constB148)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21605, 392, 21590])).
% 28.24/18.78 tff(21607,plain,
% 28.24/18.78 (v102(constB148)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21606, 21602])).
% 28.24/18.78 tff(21608,plain,
% 28.24/18.78 (v1(constB148) <=> v1(constB148)),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21609,axiom,(v1(constB148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_148_1')).
% 28.24/18.78 tff(21610,plain,
% 28.24/18.78 (v1(constB148)),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21609, 21608])).
% 28.24/18.78 tff(21611,plain,
% 28.24/18.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21612,plain,
% 28.24/18.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))),
% 28.24/18.78 inference(quant_inst,[status(thm)],[])).
% 28.24/18.78 tff(21613,plain,
% 28.24/18.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148))),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21612, 21611])).
% 28.24/18.78 tff(21614,plain,
% 28.24/18.78 (v101(constB148) | (~v102(constB148))),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21613, 410, 21590, 21610])).
% 28.24/18.78 tff(21615,plain,
% 28.24/18.78 (v101(constB148)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21614, 21607])).
% 28.24/18.78 tff(21616,plain,
% 28.24/18.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21617,plain,
% 28.24/18.78 (((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148)) <=> ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21618,plain,
% 28.24/18.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148))))),
% 28.24/18.78 inference(monotonicity,[status(thm)],[21617])).
% 28.24/18.78 tff(21619,plain,
% 28.24/18.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 28.24/18.78 inference(transitivity,[status(thm)],[21618, 21616])).
% 28.24/18.78 tff(21620,plain,
% 28.24/18.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))),
% 28.24/18.78 inference(quant_inst,[status(thm)],[])).
% 28.24/18.78 tff(21621,plain,
% 28.24/18.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148))),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21620, 21619])).
% 28.24/18.78 tff(21622,plain,
% 28.24/18.78 (v100(constB148) | (~v101(constB148)) | (~v110(constB148))),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21621, 425, 21590])).
% 28.24/18.78 tff(21623,plain,
% 28.24/18.78 (v100(constB148) | (~v110(constB148))),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21622, 21615])).
% 28.24/18.78 tff(21624,plain,
% 28.24/18.78 (v100(constB148)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21623, 21598])).
% 28.24/18.78 tff(21625,plain,
% 28.24/18.78 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB147)) | (~v130(constB147, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB147)) | (~v130(constB147, 2)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21626,plain,
% 28.24/18.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB147)) | (~v130(constB147, 2)))),
% 28.24/18.78 inference(quant_inst,[status(thm)],[])).
% 28.24/18.78 tff(21627,plain,
% 28.24/18.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB147)) | (~v130(constB147, 2))),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21626, 21625])).
% 28.24/18.78 tff(21628,plain,
% 28.24/18.78 (~v130(constB147, 2)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21627, 785, 21532])).
% 28.24/18.78 tff(21629,plain,
% 28.24/18.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB147, 2)) | v26(constB147) | v130(constB147, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB147, 2)) | v26(constB147) | v130(constB147, 2))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21630,plain,
% 28.24/18.78 ((v26(constB147) | v130(constB147, 2) | (~v127(constB147, 2))) <=> ((~v127(constB147, 2)) | v26(constB147) | v130(constB147, 2))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21631,plain,
% 28.24/18.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB147) | v130(constB147, 2) | (~v127(constB147, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB147, 2)) | v26(constB147) | v130(constB147, 2)))),
% 28.24/18.78 inference(monotonicity,[status(thm)],[21630])).
% 28.24/18.78 tff(21632,plain,
% 28.24/18.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB147) | v130(constB147, 2) | (~v127(constB147, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB147, 2)) | v26(constB147) | v130(constB147, 2))),
% 28.24/18.78 inference(transitivity,[status(thm)],[21631, 21629])).
% 28.24/18.78 tff(21633,plain,
% 28.24/18.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB147) | v130(constB147, 2) | (~v127(constB147, 2)))),
% 28.24/18.78 inference(quant_inst,[status(thm)],[])).
% 28.24/18.78 tff(21634,plain,
% 28.24/18.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB147, 2)) | v26(constB147) | v130(constB147, 2)),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21633, 21632])).
% 28.24/18.78 tff(21635,plain,
% 28.24/18.78 ((~v127(constB147, 2)) | v130(constB147, 2)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21634, 455, 21572])).
% 28.24/18.78 tff(21636,plain,
% 28.24/18.78 (~v127(constB147, 2)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21635, 21628])).
% 28.24/18.78 tff(21637,plain,
% 28.24/18.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB147, constB148)) | v127(constB147, 2) | (~v129(constB148, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB147, constB148)) | v127(constB147, 2) | (~v129(constB148, 2)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21638,plain,
% 28.24/18.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB147, constB148)) | v127(constB147, 2) | (~v129(constB148, 2)))),
% 28.24/18.78 inference(quant_inst,[status(thm)],[])).
% 28.24/18.78 tff(21639,plain,
% 28.24/18.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB147, constB148)) | v127(constB147, 2) | (~v129(constB148, 2))),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21638, 21637])).
% 28.24/18.78 tff(21640,plain,
% 28.24/18.78 (v127(constB147, 2) | (~v129(constB148, 2))),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21639, 473, 21590])).
% 28.24/18.78 tff(21641,plain,
% 28.24/18.78 (~v129(constB148, 2)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21640, 21636])).
% 28.24/18.78 tff(21642,plain,
% 28.24/18.78 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB148, 2)) | v129(constB148, 2) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB148, 2)) | v129(constB148, 2) | (~v100(constB148)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21643,plain,
% 28.24/18.78 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB148, 2)) | v129(constB148, 2) | (~v100(constB148)))),
% 28.24/18.78 inference(quant_inst,[status(thm)],[])).
% 28.24/18.78 tff(21644,plain,
% 28.24/18.78 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB148, 2)) | v129(constB148, 2) | (~v100(constB148))),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21643, 21642])).
% 28.24/18.78 tff(21645,plain,
% 28.24/18.78 ((~v90(constB148, 2)) | (~v100(constB148))),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21644, 488, 21641])).
% 28.24/18.78 tff(21646,plain,
% 28.24/18.78 (~v90(constB148, 2)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21645, 21624])).
% 28.24/18.78 tff(21647,plain,
% 28.24/18.78 ((~v1(constB149)) <=> (~v1(constB149))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21648,axiom,(~v1(constB149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_149_1_1')).
% 28.24/18.78 tff(21649,plain,
% 28.24/18.78 (~v1(constB149)),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21648, 21647])).
% 28.24/18.78 tff(21650,plain,
% 28.24/18.78 (nextState(constB148, constB149) <=> nextState(constB148, constB149)),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21651,axiom,(nextState(constB148, constB149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_148_1')).
% 28.24/18.78 tff(21652,plain,
% 28.24/18.78 (nextState(constB148, constB149)),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21651, 21650])).
% 28.24/18.78 tff(21653,plain,
% 28.24/18.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21654,plain,
% 28.24/18.78 (((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149)) <=> (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21655,plain,
% 28.24/18.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149))))),
% 28.24/18.78 inference(monotonicity,[status(thm)],[21654])).
% 28.24/18.78 tff(21656,plain,
% 28.24/18.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 28.24/18.78 inference(transitivity,[status(thm)],[21655, 21653])).
% 28.24/18.78 tff(21657,plain,
% 28.24/18.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))),
% 28.24/18.78 inference(quant_inst,[status(thm)],[])).
% 28.24/18.78 tff(21658,plain,
% 28.24/18.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149))),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21657, 21656])).
% 28.24/18.78 tff(21659,plain,
% 28.24/18.78 (~v101(constB149)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21658, 138, 21652, 21649])).
% 28.24/18.78 tff(21660,plain,
% 28.24/18.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21661,plain,
% 28.24/18.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))),
% 28.24/18.78 inference(quant_inst,[status(thm)],[])).
% 28.24/18.78 tff(21662,plain,
% 28.24/18.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149))),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21661, 21660])).
% 28.24/18.78 tff(21663,plain,
% 28.24/18.78 (v101(constB149) | (~v100(constB149))),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21662, 155, 21652])).
% 28.24/18.78 tff(21664,plain,
% 28.24/18.78 (~v100(constB149)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21663, 21659])).
% 28.24/18.78 tff(21665,plain,
% 28.24/18.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB148, 2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB148, 2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 2)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21666,plain,
% 28.24/18.78 (((~nextState(constB148, constB149)) | v90(constB148, 2) | v100(constB149) | (~v90(constB149, 2))) <=> (v90(constB148, 2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 2)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21667,plain,
% 28.24/18.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB148, constB149)) | v90(constB148, 2) | v100(constB149) | (~v90(constB149, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB148, 2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 2))))),
% 28.24/18.78 inference(monotonicity,[status(thm)],[21666])).
% 28.24/18.78 tff(21668,plain,
% 28.24/18.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB148, constB149)) | v90(constB148, 2) | v100(constB149) | (~v90(constB149, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB148, 2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 2)))),
% 28.24/18.78 inference(transitivity,[status(thm)],[21667, 21665])).
% 28.24/18.78 tff(21669,plain,
% 28.24/18.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB148, constB149)) | v90(constB148, 2) | v100(constB149) | (~v90(constB149, 2)))),
% 28.24/18.78 inference(quant_inst,[status(thm)],[])).
% 28.24/18.78 tff(21670,plain,
% 28.24/18.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB148, 2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 2))),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21669, 21668])).
% 28.24/18.78 tff(21671,plain,
% 28.24/18.78 (v90(constB148, 2) | v100(constB149) | (~v90(constB149, 2))),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21670, 170, 21652])).
% 28.24/18.78 tff(21672,plain,
% 28.24/18.78 (v90(constB148, 2) | (~v90(constB149, 2))),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21671, 21664])).
% 28.24/18.78 tff(21673,plain,
% 28.24/18.78 (~v90(constB149, 2)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21672, 21646])).
% 28.24/18.78 tff(21674,plain,
% 28.24/18.78 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB147)) | v130(constB147, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB147)) | v130(constB147, 1))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21675,plain,
% 28.24/18.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB147)) | v130(constB147, 1))),
% 28.24/18.78 inference(quant_inst,[status(thm)],[])).
% 28.24/18.78 tff(21676,plain,
% 28.24/18.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB147)) | v130(constB147, 1)),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21675, 21674])).
% 28.24/18.78 tff(21677,plain,
% 28.24/18.78 (v130(constB147, 1)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21676, 841, 21532])).
% 28.24/18.78 tff(21678,plain,
% 28.24/18.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB147) | (~v130(constB147, 1)) | v127(constB147, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB147) | (~v130(constB147, 1)) | v127(constB147, 1))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21679,plain,
% 28.24/18.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB147) | (~v130(constB147, 1)) | v127(constB147, 1))),
% 28.24/18.78 inference(quant_inst,[status(thm)],[])).
% 28.24/18.78 tff(21680,plain,
% 28.24/18.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB147) | (~v130(constB147, 1)) | v127(constB147, 1)),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21679, 21678])).
% 28.24/18.78 tff(21681,plain,
% 28.24/18.78 ((~v130(constB147, 1)) | v127(constB147, 1)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21680, 855, 21572])).
% 28.24/18.78 tff(21682,plain,
% 28.24/18.78 (v127(constB147, 1)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21681, 21677])).
% 28.24/18.78 tff(21683,plain,
% 28.24/18.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB147, constB148)) | (~v127(constB147, 1)) | v129(constB148, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB147, constB148)) | (~v127(constB147, 1)) | v129(constB148, 1))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21684,plain,
% 28.24/18.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB147, constB148)) | (~v127(constB147, 1)) | v129(constB148, 1))),
% 28.24/18.78 inference(quant_inst,[status(thm)],[])).
% 28.24/18.78 tff(21685,plain,
% 28.24/18.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB147, constB148)) | (~v127(constB147, 1)) | v129(constB148, 1)),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21684, 21683])).
% 28.24/18.78 tff(21686,plain,
% 28.24/18.78 ((~v127(constB147, 1)) | v129(constB148, 1)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21685, 870, 21590])).
% 28.24/18.78 tff(21687,plain,
% 28.24/18.78 (v129(constB148, 1)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21686, 21682])).
% 28.24/18.78 tff(21688,plain,
% 28.24/18.78 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB148, 1) | (~v129(constB148, 1)) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB148, 1) | (~v129(constB148, 1)) | (~v100(constB148)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21689,plain,
% 28.24/18.78 ((v90(constB148, 1) | (~v100(constB148)) | (~v129(constB148, 1))) <=> (v90(constB148, 1) | (~v129(constB148, 1)) | (~v100(constB148)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21690,plain,
% 28.24/18.78 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB148, 1) | (~v100(constB148)) | (~v129(constB148, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB148, 1) | (~v129(constB148, 1)) | (~v100(constB148))))),
% 28.24/18.78 inference(monotonicity,[status(thm)],[21689])).
% 28.24/18.78 tff(21691,plain,
% 28.24/18.78 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB148, 1) | (~v100(constB148)) | (~v129(constB148, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB148, 1) | (~v129(constB148, 1)) | (~v100(constB148)))),
% 28.24/18.78 inference(transitivity,[status(thm)],[21690, 21688])).
% 28.24/18.78 tff(21692,plain,
% 28.24/18.78 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB148, 1) | (~v100(constB148)) | (~v129(constB148, 1)))),
% 28.24/18.78 inference(quant_inst,[status(thm)],[])).
% 28.24/18.78 tff(21693,plain,
% 28.24/18.78 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB148, 1) | (~v129(constB148, 1)) | (~v100(constB148))),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21692, 21691])).
% 28.24/18.78 tff(21694,plain,
% 28.24/18.78 (v90(constB148, 1) | (~v100(constB148))),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21693, 885, 21687])).
% 28.24/18.78 tff(21695,plain,
% 28.24/18.78 (v90(constB148, 1)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21694, 21624])).
% 28.24/18.78 tff(21696,plain,
% 28.24/18.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB148, 1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB148, 1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 1))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21697,plain,
% 28.24/18.78 (((~nextState(constB148, constB149)) | (~v90(constB148, 1)) | v100(constB149) | v90(constB149, 1)) <=> ((~v90(constB148, 1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 1))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21698,plain,
% 28.24/18.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, 1)) | v100(constB149) | v90(constB149, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB148, 1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 1)))),
% 28.24/18.78 inference(monotonicity,[status(thm)],[21697])).
% 28.24/18.78 tff(21699,plain,
% 28.24/18.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, 1)) | v100(constB149) | v90(constB149, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB148, 1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 1))),
% 28.24/18.78 inference(transitivity,[status(thm)],[21698, 21696])).
% 28.24/18.78 tff(21700,plain,
% 28.24/18.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, 1)) | v100(constB149) | v90(constB149, 1))),
% 28.24/18.78 inference(quant_inst,[status(thm)],[])).
% 28.24/18.78 tff(21701,plain,
% 28.24/18.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB148, 1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 1)),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21700, 21699])).
% 28.24/18.78 tff(21702,plain,
% 28.24/18.78 ((~v90(constB148, 1)) | v100(constB149) | v90(constB149, 1)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21701, 903, 21652])).
% 28.24/18.78 tff(21703,plain,
% 28.24/18.78 ((~v90(constB148, 1)) | v90(constB149, 1)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21702, 21664])).
% 28.24/18.78 tff(21704,plain,
% 28.24/18.78 (v90(constB149, 1)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21703, 21695])).
% 28.24/18.78 tff(21705,plain,
% 28.24/18.78 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB147)) | (~v130(constB147, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB147)) | (~v130(constB147, 0)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21706,plain,
% 28.24/18.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB147)) | (~v130(constB147, 0)))),
% 28.24/18.78 inference(quant_inst,[status(thm)],[])).
% 28.24/18.78 tff(21707,plain,
% 28.24/18.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB147)) | (~v130(constB147, 0))),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21706, 21705])).
% 28.24/18.78 tff(21708,plain,
% 28.24/18.78 (~v130(constB147, 0)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21707, 919, 21532])).
% 28.24/18.78 tff(21709,plain,
% 28.24/18.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB147, 0)) | v26(constB147) | v130(constB147, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB147, 0)) | v26(constB147) | v130(constB147, 0))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21710,plain,
% 28.24/18.78 ((v26(constB147) | v130(constB147, 0) | (~v127(constB147, 0))) <=> ((~v127(constB147, 0)) | v26(constB147) | v130(constB147, 0))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21711,plain,
% 28.24/18.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB147) | v130(constB147, 0) | (~v127(constB147, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB147, 0)) | v26(constB147) | v130(constB147, 0)))),
% 28.24/18.78 inference(monotonicity,[status(thm)],[21710])).
% 28.24/18.78 tff(21712,plain,
% 28.24/18.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB147) | v130(constB147, 0) | (~v127(constB147, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB147, 0)) | v26(constB147) | v130(constB147, 0))),
% 28.24/18.78 inference(transitivity,[status(thm)],[21711, 21709])).
% 28.24/18.78 tff(21713,plain,
% 28.24/18.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB147) | v130(constB147, 0) | (~v127(constB147, 0)))),
% 28.24/18.78 inference(quant_inst,[status(thm)],[])).
% 28.24/18.78 tff(21714,plain,
% 28.24/18.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB147, 0)) | v26(constB147) | v130(constB147, 0)),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21713, 21712])).
% 28.24/18.78 tff(21715,plain,
% 28.24/18.78 ((~v127(constB147, 0)) | v130(constB147, 0)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21714, 933, 21572])).
% 28.24/18.78 tff(21716,plain,
% 28.24/18.78 (~v127(constB147, 0)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21715, 21708])).
% 28.24/18.78 tff(21717,plain,
% 28.24/18.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB147, constB148)) | v127(constB147, 0) | (~v129(constB148, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB147, constB148)) | v127(constB147, 0) | (~v129(constB148, 0)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21718,plain,
% 28.24/18.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB147, constB148)) | v127(constB147, 0) | (~v129(constB148, 0)))),
% 28.24/18.78 inference(quant_inst,[status(thm)],[])).
% 28.24/18.78 tff(21719,plain,
% 28.24/18.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB147, constB148)) | v127(constB147, 0) | (~v129(constB148, 0))),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21718, 21717])).
% 28.24/18.78 tff(21720,plain,
% 28.24/18.78 (v127(constB147, 0) | (~v129(constB148, 0))),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21719, 951, 21590])).
% 28.24/18.78 tff(21721,plain,
% 28.24/18.78 (~v129(constB148, 0)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21720, 21716])).
% 28.24/18.78 tff(21722,plain,
% 28.24/18.78 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB148, 0)) | v129(constB148, 0) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB148, 0)) | v129(constB148, 0) | (~v100(constB148)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21723,plain,
% 28.24/18.78 (((~v90(constB148, 0)) | (~v100(constB148)) | v129(constB148, 0)) <=> ((~v90(constB148, 0)) | v129(constB148, 0) | (~v100(constB148)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21724,plain,
% 28.24/18.78 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB148, 0)) | (~v100(constB148)) | v129(constB148, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB148, 0)) | v129(constB148, 0) | (~v100(constB148))))),
% 28.24/18.78 inference(monotonicity,[status(thm)],[21723])).
% 28.24/18.78 tff(21725,plain,
% 28.24/18.78 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB148, 0)) | (~v100(constB148)) | v129(constB148, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB148, 0)) | v129(constB148, 0) | (~v100(constB148)))),
% 28.24/18.78 inference(transitivity,[status(thm)],[21724, 21722])).
% 28.24/18.78 tff(21726,plain,
% 28.24/18.78 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB148, 0)) | (~v100(constB148)) | v129(constB148, 0))),
% 28.24/18.78 inference(quant_inst,[status(thm)],[])).
% 28.24/18.78 tff(21727,plain,
% 28.24/18.78 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB148, 0)) | v129(constB148, 0) | (~v100(constB148))),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21726, 21725])).
% 28.24/18.78 tff(21728,plain,
% 28.24/18.78 ((~v90(constB148, 0)) | (~v100(constB148))),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21727, 966, 21721])).
% 28.24/18.78 tff(21729,plain,
% 28.24/18.78 (~v90(constB148, 0)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21728, 21624])).
% 28.24/18.78 tff(21730,plain,
% 28.24/18.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB148, 0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB148, 0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 0)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21731,plain,
% 28.24/18.78 (((~nextState(constB148, constB149)) | v90(constB148, 0) | v100(constB149) | (~v90(constB149, 0))) <=> (v90(constB148, 0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 0)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21732,plain,
% 28.24/18.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB148, constB149)) | v90(constB148, 0) | v100(constB149) | (~v90(constB149, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB148, 0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 0))))),
% 28.24/18.78 inference(monotonicity,[status(thm)],[21731])).
% 28.24/18.78 tff(21733,plain,
% 28.24/18.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB148, constB149)) | v90(constB148, 0) | v100(constB149) | (~v90(constB149, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB148, 0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 0)))),
% 28.24/18.78 inference(transitivity,[status(thm)],[21732, 21730])).
% 28.24/18.78 tff(21734,plain,
% 28.24/18.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB148, constB149)) | v90(constB148, 0) | v100(constB149) | (~v90(constB149, 0)))),
% 28.24/18.78 inference(quant_inst,[status(thm)],[])).
% 28.24/18.78 tff(21735,plain,
% 28.24/18.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB148, 0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 0))),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21734, 21733])).
% 28.24/18.78 tff(21736,plain,
% 28.24/18.78 (v90(constB148, 0) | v100(constB149) | (~v90(constB149, 0))),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21735, 212, 21652])).
% 28.24/18.78 tff(21737,plain,
% 28.24/18.78 (v90(constB148, 0) | (~v90(constB149, 0))),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21736, 21664])).
% 28.24/18.78 tff(21738,plain,
% 28.24/18.78 (~v90(constB149, 0)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21737, 21729])).
% 28.24/18.78 tff(21739,plain,
% 28.24/18.78 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB149, 0) | (~v90(constB149, 1)) | v90(constB149, 2) | v121(constB149))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB149, 0) | (~v90(constB149, 1)) | v90(constB149, 2) | v121(constB149))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21740,plain,
% 28.24/18.78 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB149, 0) | (~v90(constB149, 1)) | v90(constB149, 2) | v121(constB149))),
% 28.24/18.78 inference(quant_inst,[status(thm)],[])).
% 28.24/18.78 tff(21741,plain,
% 28.24/18.78 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB149, 0) | (~v90(constB149, 1)) | v90(constB149, 2) | v121(constB149)),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21740, 21739])).
% 28.24/18.78 tff(21742,plain,
% 28.24/18.78 (v121(constB149)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21741, 993, 21738, 21704, 21673])).
% 28.24/18.78 tff(21743,plain,
% 28.24/18.78 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB149) | (~v121(constB149)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB149) | (~v121(constB149)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21744,plain,
% 28.24/18.78 (((~v121(constB149)) | v117(constB149)) <=> (v117(constB149) | (~v121(constB149)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21745,plain,
% 28.24/18.78 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB149)) | v117(constB149))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB149) | (~v121(constB149))))),
% 28.24/18.78 inference(monotonicity,[status(thm)],[21744])).
% 28.24/18.78 tff(21746,plain,
% 28.24/18.78 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB149)) | v117(constB149))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB149) | (~v121(constB149)))),
% 28.24/18.78 inference(transitivity,[status(thm)],[21745, 21743])).
% 28.24/18.78 tff(21747,plain,
% 28.24/18.78 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB149)) | v117(constB149))),
% 28.24/18.78 inference(quant_inst,[status(thm)],[])).
% 28.24/18.78 tff(21748,plain,
% 28.24/18.78 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB149) | (~v121(constB149))),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21747, 21746])).
% 28.24/18.78 tff(21749,plain,
% 28.24/18.78 (v117(constB149)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21748, 1004, 21742])).
% 28.24/18.78 tff(21750,plain,
% 28.24/18.78 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB149) | (~v117(constB149)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB149) | (~v117(constB149)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21751,plain,
% 28.24/18.78 (((~v117(constB149)) | v116(constB149)) <=> (v116(constB149) | (~v117(constB149)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21752,plain,
% 28.24/18.78 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB149)) | v116(constB149))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB149) | (~v117(constB149))))),
% 28.24/18.78 inference(monotonicity,[status(thm)],[21751])).
% 28.24/18.78 tff(21753,plain,
% 28.24/18.78 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB149)) | v116(constB149))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB149) | (~v117(constB149)))),
% 28.24/18.78 inference(transitivity,[status(thm)],[21752, 21750])).
% 28.24/18.78 tff(21754,plain,
% 28.24/18.78 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB149)) | v116(constB149))),
% 28.24/18.78 inference(quant_inst,[status(thm)],[])).
% 28.24/18.78 tff(21755,plain,
% 28.24/18.78 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB149) | (~v117(constB149))),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21754, 21753])).
% 28.24/18.78 tff(21756,plain,
% 28.24/18.78 (v116(constB149)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21755, 272, 21749])).
% 28.24/18.78 tff(21757,plain,
% 28.24/18.78 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB149) | (~v116(constB149)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB149) | (~v116(constB149)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21758,plain,
% 28.24/18.78 (((~v116(constB149)) | v115(constB149)) <=> (v115(constB149) | (~v116(constB149)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21759,plain,
% 28.24/18.78 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB149)) | v115(constB149))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB149) | (~v116(constB149))))),
% 28.24/18.78 inference(monotonicity,[status(thm)],[21758])).
% 28.24/18.78 tff(21760,plain,
% 28.24/18.78 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB149)) | v115(constB149))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB149) | (~v116(constB149)))),
% 28.24/18.78 inference(transitivity,[status(thm)],[21759, 21757])).
% 28.24/18.78 tff(21761,plain,
% 28.24/18.78 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB149)) | v115(constB149))),
% 28.24/18.78 inference(quant_inst,[status(thm)],[])).
% 28.24/18.78 tff(21762,plain,
% 28.24/18.78 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB149) | (~v116(constB149))),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21761, 21760])).
% 28.24/18.78 tff(21763,plain,
% 28.24/18.78 (v115(constB149)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21762, 286, 21756])).
% 28.24/18.78 tff(21764,plain,
% 28.24/18.78 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB149) | (~v115(constB149)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB149) | (~v115(constB149)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21765,plain,
% 28.24/18.78 (((~v115(constB149)) | v114(constB149)) <=> (v114(constB149) | (~v115(constB149)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21766,plain,
% 28.24/18.78 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB149)) | v114(constB149))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB149) | (~v115(constB149))))),
% 28.24/18.78 inference(monotonicity,[status(thm)],[21765])).
% 28.24/18.78 tff(21767,plain,
% 28.24/18.78 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB149)) | v114(constB149))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB149) | (~v115(constB149)))),
% 28.24/18.78 inference(transitivity,[status(thm)],[21766, 21764])).
% 28.24/18.78 tff(21768,plain,
% 28.24/18.78 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB149)) | v114(constB149))),
% 28.24/18.78 inference(quant_inst,[status(thm)],[])).
% 28.24/18.78 tff(21769,plain,
% 28.24/18.78 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB149) | (~v115(constB149))),
% 28.24/18.78 inference(modus_ponens,[status(thm)],[21768, 21767])).
% 28.24/18.78 tff(21770,plain,
% 28.24/18.78 (v114(constB149)),
% 28.24/18.78 inference(unit_resolution,[status(thm)],[21769, 300, 21763])).
% 28.24/18.78 tff(21771,plain,
% 28.24/18.78 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB149) | (~v114(constB149)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB149) | (~v114(constB149)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21772,plain,
% 28.24/18.78 (((~v114(constB149)) | v113(constB149)) <=> (v113(constB149) | (~v114(constB149)))),
% 28.24/18.78 inference(rewrite,[status(thm)],[])).
% 28.24/18.78 tff(21773,plain,
% 28.24/18.78 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB149)) | v113(constB149))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB149) | (~v114(constB149))))),
% 28.24/18.78 inference(monotonicity,[status(thm)],[21772])).
% 28.24/18.78 tff(21774,plain,
% 28.24/18.78 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB149)) | v113(constB149))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB149) | (~v114(constB149)))),
% 28.24/18.79 inference(transitivity,[status(thm)],[21773, 21771])).
% 28.24/18.79 tff(21775,plain,
% 28.24/18.79 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB149)) | v113(constB149))),
% 28.24/18.79 inference(quant_inst,[status(thm)],[])).
% 28.24/18.79 tff(21776,plain,
% 28.24/18.79 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB149) | (~v114(constB149))),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21775, 21774])).
% 28.24/18.79 tff(21777,plain,
% 28.24/18.79 (v113(constB149)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21776, 314, 21770])).
% 28.24/18.79 tff(21778,assumption,(v26(constB149)), introduced(assumption)).
% 28.24/18.79 tff(21779,plain,
% 28.24/18.79 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB149))),
% 28.24/18.79 inference(quant_inst,[status(thm)],[])).
% 28.24/18.79 tff(21780,plain,
% 28.24/18.79 ($false),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21779, 95, 21778])).
% 28.24/18.79 tff(21781,plain,(~v26(constB149)), inference(lemma,lemma(discharge,[]))).
% 28.24/18.79 tff(21782,plain,
% 28.24/18.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | v112(constB149) | (~v113(constB149)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | v112(constB149) | (~v113(constB149)))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21783,plain,
% 28.24/18.79 ((v26(constB149) | (~v113(constB149)) | v112(constB149)) <=> (v26(constB149) | v112(constB149) | (~v113(constB149)))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21784,plain,
% 28.24/18.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | v112(constB149) | (~v113(constB149))))),
% 28.24/18.79 inference(monotonicity,[status(thm)],[21783])).
% 28.24/18.79 tff(21785,plain,
% 28.24/18.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | v112(constB149) | (~v113(constB149)))),
% 28.24/18.79 inference(transitivity,[status(thm)],[21784, 21782])).
% 28.24/18.79 tff(21786,plain,
% 28.24/18.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))),
% 28.24/18.79 inference(quant_inst,[status(thm)],[])).
% 28.24/18.79 tff(21787,plain,
% 28.24/18.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | v112(constB149) | (~v113(constB149))),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21786, 21785])).
% 28.24/18.79 tff(21788,plain,
% 28.24/18.79 (v112(constB149) | (~v113(constB149))),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21787, 328, 21781])).
% 28.24/18.79 tff(21789,plain,
% 28.24/18.79 (v112(constB149)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21788, 21777])).
% 28.24/18.79 tff(21790,plain,
% 28.24/18.79 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB149) | (~v112(constB149)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB149) | (~v112(constB149)))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21791,plain,
% 28.24/18.79 (((~v112(constB149)) | v108(constB149)) <=> (v108(constB149) | (~v112(constB149)))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21792,plain,
% 28.24/18.79 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB149)) | v108(constB149))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB149) | (~v112(constB149))))),
% 28.24/18.79 inference(monotonicity,[status(thm)],[21791])).
% 28.24/18.79 tff(21793,plain,
% 28.24/18.79 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB149)) | v108(constB149))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB149) | (~v112(constB149)))),
% 28.24/18.79 inference(transitivity,[status(thm)],[21792, 21790])).
% 28.24/18.79 tff(21794,plain,
% 28.24/18.79 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB149)) | v108(constB149))),
% 28.24/18.79 inference(quant_inst,[status(thm)],[])).
% 28.24/18.79 tff(21795,plain,
% 28.24/18.79 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB149) | (~v112(constB149))),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21794, 21793])).
% 28.24/18.79 tff(21796,plain,
% 28.24/18.79 (v108(constB149)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21795, 340, 21789])).
% 28.24/18.79 tff(21797,plain,
% 28.24/18.79 (nextState(constB149, constB150) <=> nextState(constB149, constB150)),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21798,axiom,(nextState(constB149, constB150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_149_1')).
% 28.24/18.79 tff(21799,plain,
% 28.24/18.79 (nextState(constB149, constB150)),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21798, 21797])).
% 28.24/18.79 tff(21800,plain,
% 28.24/18.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21801,plain,
% 28.24/18.79 (((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150)) <=> ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21802,plain,
% 28.24/18.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149))))),
% 28.24/18.79 inference(monotonicity,[status(thm)],[21801])).
% 28.24/18.79 tff(21803,plain,
% 28.24/18.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 28.24/18.79 inference(transitivity,[status(thm)],[21802, 21800])).
% 28.24/18.79 tff(21804,plain,
% 28.24/18.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))),
% 28.24/18.79 inference(quant_inst,[status(thm)],[])).
% 28.24/18.79 tff(21805,plain,
% 28.24/18.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149))),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21804, 21803])).
% 28.24/18.79 tff(21806,plain,
% 28.24/18.79 (v110(constB150) | (~v108(constB149))),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21805, 360, 21799])).
% 28.24/18.79 tff(21807,plain,
% 28.24/18.79 (v110(constB150)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21806, 21796])).
% 28.24/18.79 tff(21808,plain,
% 28.24/18.79 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21809,plain,
% 28.24/18.79 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))),
% 28.24/18.79 inference(quant_inst,[status(thm)],[])).
% 28.24/18.79 tff(21810,plain,
% 28.24/18.79 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150))),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21809, 21808])).
% 28.24/18.79 tff(21811,plain,
% 28.24/18.79 (~v104(constB150)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21810, 378, 21799, 21649])).
% 28.24/18.79 tff(21812,plain,
% 28.24/18.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21813,plain,
% 28.24/18.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))),
% 28.24/18.79 inference(quant_inst,[status(thm)],[])).
% 28.24/18.79 tff(21814,plain,
% 28.24/18.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB149, constB150)) | v102(constB150) | v104(constB150)),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21813, 21812])).
% 28.24/18.79 tff(21815,plain,
% 28.24/18.79 (v102(constB150) | v104(constB150)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21814, 392, 21799])).
% 28.24/18.79 tff(21816,plain,
% 28.24/18.79 (v102(constB150)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21815, 21811])).
% 28.24/18.79 tff(21817,plain,
% 28.24/18.79 (v1(constB150) <=> v1(constB150)),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21818,axiom,(v1(constB150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_150_1')).
% 28.24/18.79 tff(21819,plain,
% 28.24/18.79 (v1(constB150)),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21818, 21817])).
% 28.24/18.79 tff(21820,plain,
% 28.24/18.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21821,plain,
% 28.24/18.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))),
% 28.24/18.79 inference(quant_inst,[status(thm)],[])).
% 28.24/18.79 tff(21822,plain,
% 28.24/18.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150))),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21821, 21820])).
% 28.24/18.79 tff(21823,plain,
% 28.24/18.79 (v101(constB150) | (~v102(constB150))),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21822, 410, 21799, 21819])).
% 28.24/18.79 tff(21824,plain,
% 28.24/18.79 (v101(constB150)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21823, 21816])).
% 28.24/18.79 tff(21825,plain,
% 28.24/18.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21826,plain,
% 28.24/18.79 (((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150)) <=> ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21827,plain,
% 28.24/18.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150))))),
% 28.24/18.79 inference(monotonicity,[status(thm)],[21826])).
% 28.24/18.79 tff(21828,plain,
% 28.24/18.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 28.24/18.79 inference(transitivity,[status(thm)],[21827, 21825])).
% 28.24/18.79 tff(21829,plain,
% 28.24/18.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))),
% 28.24/18.79 inference(quant_inst,[status(thm)],[])).
% 28.24/18.79 tff(21830,plain,
% 28.24/18.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150))),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21829, 21828])).
% 28.24/18.79 tff(21831,plain,
% 28.24/18.79 (v100(constB150) | (~v101(constB150)) | (~v110(constB150))),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21830, 425, 21799])).
% 28.24/18.79 tff(21832,plain,
% 28.24/18.79 (v100(constB150) | (~v110(constB150))),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21831, 21824])).
% 28.24/18.79 tff(21833,plain,
% 28.24/18.79 (v100(constB150)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21832, 21807])).
% 28.24/18.79 tff(21834,plain,
% 28.24/18.79 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB149)) | (~v130(constB149, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB149)) | (~v130(constB149, 2)))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21835,plain,
% 28.24/18.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB149)) | (~v130(constB149, 2)))),
% 28.24/18.79 inference(quant_inst,[status(thm)],[])).
% 28.24/18.79 tff(21836,plain,
% 28.24/18.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB149)) | (~v130(constB149, 2))),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21835, 21834])).
% 28.24/18.79 tff(21837,plain,
% 28.24/18.79 (~v130(constB149, 2)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21836, 1155, 21742])).
% 28.24/18.79 tff(21838,plain,
% 28.24/18.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB149, 2)) | v26(constB149) | v130(constB149, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB149, 2)) | v26(constB149) | v130(constB149, 2))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21839,plain,
% 28.24/18.79 ((v26(constB149) | v130(constB149, 2) | (~v127(constB149, 2))) <=> ((~v127(constB149, 2)) | v26(constB149) | v130(constB149, 2))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21840,plain,
% 28.24/18.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB149) | v130(constB149, 2) | (~v127(constB149, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB149, 2)) | v26(constB149) | v130(constB149, 2)))),
% 28.24/18.79 inference(monotonicity,[status(thm)],[21839])).
% 28.24/18.79 tff(21841,plain,
% 28.24/18.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB149) | v130(constB149, 2) | (~v127(constB149, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB149, 2)) | v26(constB149) | v130(constB149, 2))),
% 28.24/18.79 inference(transitivity,[status(thm)],[21840, 21838])).
% 28.24/18.79 tff(21842,plain,
% 28.24/18.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB149) | v130(constB149, 2) | (~v127(constB149, 2)))),
% 28.24/18.79 inference(quant_inst,[status(thm)],[])).
% 28.24/18.79 tff(21843,plain,
% 28.24/18.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB149, 2)) | v26(constB149) | v130(constB149, 2)),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21842, 21841])).
% 28.24/18.79 tff(21844,plain,
% 28.24/18.79 ((~v127(constB149, 2)) | v130(constB149, 2)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21843, 455, 21781])).
% 28.24/18.79 tff(21845,plain,
% 28.24/18.79 (~v127(constB149, 2)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21844, 21837])).
% 28.24/18.79 tff(21846,plain,
% 28.24/18.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB149, constB150)) | v127(constB149, 2) | (~v129(constB150, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB149, constB150)) | v127(constB149, 2) | (~v129(constB150, 2)))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21847,plain,
% 28.24/18.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB149, constB150)) | v127(constB149, 2) | (~v129(constB150, 2)))),
% 28.24/18.79 inference(quant_inst,[status(thm)],[])).
% 28.24/18.79 tff(21848,plain,
% 28.24/18.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB149, constB150)) | v127(constB149, 2) | (~v129(constB150, 2))),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21847, 21846])).
% 28.24/18.79 tff(21849,plain,
% 28.24/18.79 (v127(constB149, 2) | (~v129(constB150, 2))),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21848, 473, 21799])).
% 28.24/18.79 tff(21850,plain,
% 28.24/18.79 (~v129(constB150, 2)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21849, 21845])).
% 28.24/18.79 tff(21851,plain,
% 28.24/18.79 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB150, 2)) | v129(constB150, 2) | (~v100(constB150)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB150, 2)) | v129(constB150, 2) | (~v100(constB150)))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21852,plain,
% 28.24/18.79 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB150, 2)) | v129(constB150, 2) | (~v100(constB150)))),
% 28.24/18.79 inference(quant_inst,[status(thm)],[])).
% 28.24/18.79 tff(21853,plain,
% 28.24/18.79 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB150, 2)) | v129(constB150, 2) | (~v100(constB150))),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21852, 21851])).
% 28.24/18.79 tff(21854,plain,
% 28.24/18.79 ((~v90(constB150, 2)) | (~v100(constB150))),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21853, 488, 21850])).
% 28.24/18.79 tff(21855,plain,
% 28.24/18.79 (~v90(constB150, 2)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21854, 21833])).
% 28.24/18.79 tff(21856,plain,
% 28.24/18.79 ((~v1(constB151)) <=> (~v1(constB151))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21857,axiom,(~v1(constB151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_151_1_1')).
% 28.24/18.79 tff(21858,plain,
% 28.24/18.79 (~v1(constB151)),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21857, 21856])).
% 28.24/18.79 tff(21859,plain,
% 28.24/18.79 (nextState(constB150, constB151) <=> nextState(constB150, constB151)),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21860,axiom,(nextState(constB150, constB151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_150_1')).
% 28.24/18.79 tff(21861,plain,
% 28.24/18.79 (nextState(constB150, constB151)),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21860, 21859])).
% 28.24/18.79 tff(21862,plain,
% 28.24/18.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21863,plain,
% 28.24/18.79 (((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151)) <=> (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21864,plain,
% 28.24/18.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151))))),
% 28.24/18.79 inference(monotonicity,[status(thm)],[21863])).
% 28.24/18.79 tff(21865,plain,
% 28.24/18.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 28.24/18.79 inference(transitivity,[status(thm)],[21864, 21862])).
% 28.24/18.79 tff(21866,plain,
% 28.24/18.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))),
% 28.24/18.79 inference(quant_inst,[status(thm)],[])).
% 28.24/18.79 tff(21867,plain,
% 28.24/18.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151))),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21866, 21865])).
% 28.24/18.79 tff(21868,plain,
% 28.24/18.79 (~v101(constB151)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21867, 138, 21861, 21858])).
% 28.24/18.79 tff(21869,plain,
% 28.24/18.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21870,plain,
% 28.24/18.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))),
% 28.24/18.79 inference(quant_inst,[status(thm)],[])).
% 28.24/18.79 tff(21871,plain,
% 28.24/18.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151))),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21870, 21869])).
% 28.24/18.79 tff(21872,plain,
% 28.24/18.79 (v101(constB151) | (~v100(constB151))),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21871, 155, 21861])).
% 28.24/18.79 tff(21873,plain,
% 28.24/18.79 (~v100(constB151)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21872, 21868])).
% 28.24/18.79 tff(21874,plain,
% 28.24/18.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB150, 2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB150, 2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 2)))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21875,plain,
% 28.24/18.79 (((~nextState(constB150, constB151)) | v90(constB150, 2) | v100(constB151) | (~v90(constB151, 2))) <=> (v90(constB150, 2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 2)))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21876,plain,
% 28.24/18.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB150, constB151)) | v90(constB150, 2) | v100(constB151) | (~v90(constB151, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB150, 2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 2))))),
% 28.24/18.79 inference(monotonicity,[status(thm)],[21875])).
% 28.24/18.79 tff(21877,plain,
% 28.24/18.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB150, constB151)) | v90(constB150, 2) | v100(constB151) | (~v90(constB151, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB150, 2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 2)))),
% 28.24/18.79 inference(transitivity,[status(thm)],[21876, 21874])).
% 28.24/18.79 tff(21878,plain,
% 28.24/18.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB150, constB151)) | v90(constB150, 2) | v100(constB151) | (~v90(constB151, 2)))),
% 28.24/18.79 inference(quant_inst,[status(thm)],[])).
% 28.24/18.79 tff(21879,plain,
% 28.24/18.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB150, 2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 2))),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21878, 21877])).
% 28.24/18.79 tff(21880,plain,
% 28.24/18.79 (v90(constB150, 2) | v100(constB151) | (~v90(constB151, 2))),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21879, 170, 21861])).
% 28.24/18.79 tff(21881,plain,
% 28.24/18.79 (v90(constB150, 2) | (~v90(constB151, 2))),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21880, 21873])).
% 28.24/18.79 tff(21882,plain,
% 28.24/18.79 (~v90(constB151, 2)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21881, 21855])).
% 28.24/18.79 tff(21883,plain,
% 28.24/18.79 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB149)) | v130(constB149, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB149)) | v130(constB149, 1))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21884,plain,
% 28.24/18.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB149)) | v130(constB149, 1))),
% 28.24/18.79 inference(quant_inst,[status(thm)],[])).
% 28.24/18.79 tff(21885,plain,
% 28.24/18.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB149)) | v130(constB149, 1)),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21884, 21883])).
% 28.24/18.79 tff(21886,plain,
% 28.24/18.79 (v130(constB149, 1)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21885, 1235, 21742])).
% 28.24/18.79 tff(21887,plain,
% 28.24/18.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB149) | (~v130(constB149, 1)) | v127(constB149, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB149) | (~v130(constB149, 1)) | v127(constB149, 1))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21888,plain,
% 28.24/18.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB149) | (~v130(constB149, 1)) | v127(constB149, 1))),
% 28.24/18.79 inference(quant_inst,[status(thm)],[])).
% 28.24/18.79 tff(21889,plain,
% 28.24/18.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB149) | (~v130(constB149, 1)) | v127(constB149, 1)),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21888, 21887])).
% 28.24/18.79 tff(21890,plain,
% 28.24/18.79 ((~v130(constB149, 1)) | v127(constB149, 1)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21889, 855, 21781])).
% 28.24/18.79 tff(21891,plain,
% 28.24/18.79 (v127(constB149, 1)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21890, 21886])).
% 28.24/18.79 tff(21892,plain,
% 28.24/18.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB149, constB150)) | (~v127(constB149, 1)) | v129(constB150, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB149, constB150)) | (~v127(constB149, 1)) | v129(constB150, 1))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21893,plain,
% 28.24/18.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB149, constB150)) | (~v127(constB149, 1)) | v129(constB150, 1))),
% 28.24/18.79 inference(quant_inst,[status(thm)],[])).
% 28.24/18.79 tff(21894,plain,
% 28.24/18.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB149, constB150)) | (~v127(constB149, 1)) | v129(constB150, 1)),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21893, 21892])).
% 28.24/18.79 tff(21895,plain,
% 28.24/18.79 ((~v127(constB149, 1)) | v129(constB150, 1)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21894, 870, 21799])).
% 28.24/18.79 tff(21896,plain,
% 28.24/18.79 (v129(constB150, 1)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21895, 21891])).
% 28.24/18.79 tff(21897,plain,
% 28.24/18.79 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB150, 1) | (~v129(constB150, 1)) | (~v100(constB150)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB150, 1) | (~v129(constB150, 1)) | (~v100(constB150)))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21898,plain,
% 28.24/18.79 ((v90(constB150, 1) | (~v100(constB150)) | (~v129(constB150, 1))) <=> (v90(constB150, 1) | (~v129(constB150, 1)) | (~v100(constB150)))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21899,plain,
% 28.24/18.79 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB150, 1) | (~v100(constB150)) | (~v129(constB150, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB150, 1) | (~v129(constB150, 1)) | (~v100(constB150))))),
% 28.24/18.79 inference(monotonicity,[status(thm)],[21898])).
% 28.24/18.79 tff(21900,plain,
% 28.24/18.79 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB150, 1) | (~v100(constB150)) | (~v129(constB150, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB150, 1) | (~v129(constB150, 1)) | (~v100(constB150)))),
% 28.24/18.79 inference(transitivity,[status(thm)],[21899, 21897])).
% 28.24/18.79 tff(21901,plain,
% 28.24/18.79 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB150, 1) | (~v100(constB150)) | (~v129(constB150, 1)))),
% 28.24/18.79 inference(quant_inst,[status(thm)],[])).
% 28.24/18.79 tff(21902,plain,
% 28.24/18.79 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB150, 1) | (~v129(constB150, 1)) | (~v100(constB150))),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21901, 21900])).
% 28.24/18.79 tff(21903,plain,
% 28.24/18.79 (v90(constB150, 1) | (~v100(constB150))),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21902, 885, 21896])).
% 28.24/18.79 tff(21904,plain,
% 28.24/18.79 (v90(constB150, 1)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21903, 21833])).
% 28.24/18.79 tff(21905,plain,
% 28.24/18.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB150, 1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB150, 1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 1))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21906,plain,
% 28.24/18.79 (((~nextState(constB150, constB151)) | (~v90(constB150, 1)) | v100(constB151) | v90(constB151, 1)) <=> ((~v90(constB150, 1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 1))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21907,plain,
% 28.24/18.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, 1)) | v100(constB151) | v90(constB151, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB150, 1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 1)))),
% 28.24/18.79 inference(monotonicity,[status(thm)],[21906])).
% 28.24/18.79 tff(21908,plain,
% 28.24/18.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, 1)) | v100(constB151) | v90(constB151, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB150, 1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 1))),
% 28.24/18.79 inference(transitivity,[status(thm)],[21907, 21905])).
% 28.24/18.79 tff(21909,plain,
% 28.24/18.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, 1)) | v100(constB151) | v90(constB151, 1))),
% 28.24/18.79 inference(quant_inst,[status(thm)],[])).
% 28.24/18.79 tff(21910,plain,
% 28.24/18.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB150, 1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 1)),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21909, 21908])).
% 28.24/18.79 tff(21911,plain,
% 28.24/18.79 ((~v90(constB150, 1)) | v100(constB151) | v90(constB151, 1)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21910, 903, 21861])).
% 28.24/18.79 tff(21912,plain,
% 28.24/18.79 ((~v90(constB150, 1)) | v90(constB151, 1)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21911, 21873])).
% 28.24/18.79 tff(21913,plain,
% 28.24/18.79 (v90(constB151, 1)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21912, 21904])).
% 28.24/18.79 tff(21914,plain,
% 28.24/18.79 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB149)) | v130(constB149, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB149)) | v130(constB149, 0))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21915,plain,
% 28.24/18.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB149)) | v130(constB149, 0))),
% 28.24/18.79 inference(quant_inst,[status(thm)],[])).
% 28.24/18.79 tff(21916,plain,
% 28.24/18.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB149)) | v130(constB149, 0)),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21915, 21914])).
% 28.24/18.79 tff(21917,plain,
% 28.24/18.79 (v130(constB149, 0)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21916, 1099, 21742])).
% 28.24/18.79 tff(21918,plain,
% 28.24/18.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB149) | (~v130(constB149, 0)) | v127(constB149, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB149) | (~v130(constB149, 0)) | v127(constB149, 0))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21919,plain,
% 28.24/18.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB149) | (~v130(constB149, 0)) | v127(constB149, 0))),
% 28.24/18.79 inference(quant_inst,[status(thm)],[])).
% 28.24/18.79 tff(21920,plain,
% 28.24/18.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB149) | (~v130(constB149, 0)) | v127(constB149, 0)),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21919, 21918])).
% 28.24/18.79 tff(21921,plain,
% 28.24/18.79 ((~v130(constB149, 0)) | v127(constB149, 0)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21920, 612, 21781])).
% 28.24/18.79 tff(21922,plain,
% 28.24/18.79 (v127(constB149, 0)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21921, 21917])).
% 28.24/18.79 tff(21923,plain,
% 28.24/18.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB149, constB150)) | (~v127(constB149, 0)) | v129(constB150, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB149, constB150)) | (~v127(constB149, 0)) | v129(constB150, 0))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21924,plain,
% 28.24/18.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB149, constB150)) | (~v127(constB149, 0)) | v129(constB150, 0))),
% 28.24/18.79 inference(quant_inst,[status(thm)],[])).
% 28.24/18.79 tff(21925,plain,
% 28.24/18.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB149, constB150)) | (~v127(constB149, 0)) | v129(constB150, 0)),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21924, 21923])).
% 28.24/18.79 tff(21926,plain,
% 28.24/18.79 ((~v127(constB149, 0)) | v129(constB150, 0)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21925, 627, 21799])).
% 28.24/18.79 tff(21927,plain,
% 28.24/18.79 (v129(constB150, 0)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21926, 21922])).
% 28.24/18.79 tff(21928,plain,
% 28.24/18.79 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB150, 0) | (~v129(constB150, 0)) | (~v100(constB150)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB150, 0) | (~v129(constB150, 0)) | (~v100(constB150)))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21929,plain,
% 28.24/18.79 ((v90(constB150, 0) | (~v100(constB150)) | (~v129(constB150, 0))) <=> (v90(constB150, 0) | (~v129(constB150, 0)) | (~v100(constB150)))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21930,plain,
% 28.24/18.79 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB150, 0) | (~v100(constB150)) | (~v129(constB150, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB150, 0) | (~v129(constB150, 0)) | (~v100(constB150))))),
% 28.24/18.79 inference(monotonicity,[status(thm)],[21929])).
% 28.24/18.79 tff(21931,plain,
% 28.24/18.79 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB150, 0) | (~v100(constB150)) | (~v129(constB150, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB150, 0) | (~v129(constB150, 0)) | (~v100(constB150)))),
% 28.24/18.79 inference(transitivity,[status(thm)],[21930, 21928])).
% 28.24/18.79 tff(21932,plain,
% 28.24/18.79 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB150, 0) | (~v100(constB150)) | (~v129(constB150, 0)))),
% 28.24/18.79 inference(quant_inst,[status(thm)],[])).
% 28.24/18.79 tff(21933,plain,
% 28.24/18.79 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB150, 0) | (~v129(constB150, 0)) | (~v100(constB150))),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21932, 21931])).
% 28.24/18.79 tff(21934,plain,
% 28.24/18.79 (v90(constB150, 0) | (~v100(constB150))),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21933, 642, 21927])).
% 28.24/18.79 tff(21935,plain,
% 28.24/18.79 (v90(constB150, 0)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21934, 21833])).
% 28.24/18.79 tff(21936,plain,
% 28.24/18.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB150, 0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB150, 0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 0))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21937,plain,
% 28.24/18.79 (((~nextState(constB150, constB151)) | (~v90(constB150, 0)) | v100(constB151) | v90(constB151, 0)) <=> ((~v90(constB150, 0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 0))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21938,plain,
% 28.24/18.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, 0)) | v100(constB151) | v90(constB151, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB150, 0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 0)))),
% 28.24/18.79 inference(monotonicity,[status(thm)],[21937])).
% 28.24/18.79 tff(21939,plain,
% 28.24/18.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, 0)) | v100(constB151) | v90(constB151, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB150, 0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 0))),
% 28.24/18.79 inference(transitivity,[status(thm)],[21938, 21936])).
% 28.24/18.79 tff(21940,plain,
% 28.24/18.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, 0)) | v100(constB151) | v90(constB151, 0))),
% 28.24/18.79 inference(quant_inst,[status(thm)],[])).
% 28.24/18.79 tff(21941,plain,
% 28.24/18.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB150, 0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 0)),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21940, 21939])).
% 28.24/18.79 tff(21942,plain,
% 28.24/18.79 ((~v90(constB150, 0)) | v100(constB151) | v90(constB151, 0)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21941, 660, 21861])).
% 28.24/18.79 tff(21943,plain,
% 28.24/18.79 ((~v90(constB150, 0)) | v90(constB151, 0)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21942, 21873])).
% 28.24/18.79 tff(21944,plain,
% 28.24/18.79 (v90(constB151, 0)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21943, 21935])).
% 28.24/18.79 tff(21945,plain,
% 28.24/18.79 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB151, 0)) | (~v90(constB151, 1)) | v90(constB151, 2) | v122(constB151))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB151, 0)) | (~v90(constB151, 1)) | v90(constB151, 2) | v122(constB151))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.79 tff(21946,plain,
% 28.24/18.79 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB151, 0)) | (~v90(constB151, 1)) | v90(constB151, 2) | v122(constB151))),
% 28.24/18.79 inference(quant_inst,[status(thm)],[])).
% 28.24/18.79 tff(21947,plain,
% 28.24/18.79 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB151, 0)) | (~v90(constB151, 1)) | v90(constB151, 2) | v122(constB151)),
% 28.24/18.79 inference(modus_ponens,[status(thm)],[21946, 21945])).
% 28.24/18.79 tff(21948,plain,
% 28.24/18.79 (v122(constB151)),
% 28.24/18.79 inference(unit_resolution,[status(thm)],[21947, 1260, 21944, 21913, 21882])).
% 28.24/18.79 tff(21949,plain,
% 28.24/18.79 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB151) | (~v122(constB151)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB151) | (~v122(constB151)))),
% 28.24/18.79 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(21950,plain,
% 28.24/18.80 (((~v122(constB151)) | v116(constB151)) <=> (v116(constB151) | (~v122(constB151)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(21951,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB151)) | v116(constB151))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB151) | (~v122(constB151))))),
% 28.24/18.80 inference(monotonicity,[status(thm)],[21950])).
% 28.24/18.80 tff(21952,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB151)) | v116(constB151))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB151) | (~v122(constB151)))),
% 28.24/18.80 inference(transitivity,[status(thm)],[21951, 21949])).
% 28.24/18.80 tff(21953,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB151)) | v116(constB151))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(21954,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB151) | (~v122(constB151))),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[21953, 21952])).
% 28.24/18.80 tff(21955,plain,
% 28.24/18.80 (v116(constB151)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[21954, 1272, 21948])).
% 28.24/18.80 tff(21956,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB151) | (~v116(constB151)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB151) | (~v116(constB151)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(21957,plain,
% 28.24/18.80 (((~v116(constB151)) | v115(constB151)) <=> (v115(constB151) | (~v116(constB151)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(21958,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB151)) | v115(constB151))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB151) | (~v116(constB151))))),
% 28.24/18.80 inference(monotonicity,[status(thm)],[21957])).
% 28.24/18.80 tff(21959,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB151)) | v115(constB151))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB151) | (~v116(constB151)))),
% 28.24/18.80 inference(transitivity,[status(thm)],[21958, 21956])).
% 28.24/18.80 tff(21960,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB151)) | v115(constB151))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(21961,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB151) | (~v116(constB151))),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[21960, 21959])).
% 28.24/18.80 tff(21962,plain,
% 28.24/18.80 (v115(constB151)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[21961, 286, 21955])).
% 28.24/18.80 tff(21963,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB151) | (~v115(constB151)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB151) | (~v115(constB151)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(21964,plain,
% 28.24/18.80 (((~v115(constB151)) | v114(constB151)) <=> (v114(constB151) | (~v115(constB151)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(21965,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB151)) | v114(constB151))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB151) | (~v115(constB151))))),
% 28.24/18.80 inference(monotonicity,[status(thm)],[21964])).
% 28.24/18.80 tff(21966,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB151)) | v114(constB151))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB151) | (~v115(constB151)))),
% 28.24/18.80 inference(transitivity,[status(thm)],[21965, 21963])).
% 28.24/18.80 tff(21967,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB151)) | v114(constB151))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(21968,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB151) | (~v115(constB151))),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[21967, 21966])).
% 28.24/18.80 tff(21969,plain,
% 28.24/18.80 (v114(constB151)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[21968, 300, 21962])).
% 28.24/18.80 tff(21970,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB151) | (~v114(constB151)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB151) | (~v114(constB151)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(21971,plain,
% 28.24/18.80 (((~v114(constB151)) | v113(constB151)) <=> (v113(constB151) | (~v114(constB151)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(21972,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB151)) | v113(constB151))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB151) | (~v114(constB151))))),
% 28.24/18.80 inference(monotonicity,[status(thm)],[21971])).
% 28.24/18.80 tff(21973,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB151)) | v113(constB151))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB151) | (~v114(constB151)))),
% 28.24/18.80 inference(transitivity,[status(thm)],[21972, 21970])).
% 28.24/18.80 tff(21974,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB151)) | v113(constB151))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(21975,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB151) | (~v114(constB151))),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[21974, 21973])).
% 28.24/18.80 tff(21976,plain,
% 28.24/18.80 (v113(constB151)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[21975, 314, 21969])).
% 28.24/18.80 tff(21977,assumption,(~v108(constB151)), introduced(assumption)).
% 28.24/18.80 tff(21978,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB151) | (~v112(constB151)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v112(constB151)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(21979,plain,
% 28.24/18.80 (((~v112(constB151)) | v108(constB151)) <=> (v108(constB151) | (~v112(constB151)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(21980,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB151)) | v108(constB151))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB151) | (~v112(constB151))))),
% 28.24/18.80 inference(monotonicity,[status(thm)],[21979])).
% 28.24/18.80 tff(21981,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB151)) | v108(constB151))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v112(constB151)))),
% 28.24/18.80 inference(transitivity,[status(thm)],[21980, 21978])).
% 28.24/18.80 tff(21982,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB151)) | v108(constB151))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(21983,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v112(constB151))),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[21982, 21981])).
% 28.24/18.80 tff(21984,plain,
% 28.24/18.80 (~v112(constB151)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[21983, 340, 21977])).
% 28.24/18.80 tff(21985,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB151) | (~v26(constB151)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v26(constB151)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(21986,plain,
% 28.24/18.80 (((~v26(constB151)) | v108(constB151)) <=> (v108(constB151) | (~v26(constB151)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(21987,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB151)) | v108(constB151))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB151) | (~v26(constB151))))),
% 28.24/18.80 inference(monotonicity,[status(thm)],[21986])).
% 28.24/18.80 tff(21988,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB151)) | v108(constB151))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v26(constB151)))),
% 28.24/18.80 inference(transitivity,[status(thm)],[21987, 21985])).
% 28.24/18.80 tff(21989,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB151)) | v108(constB151))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(21990,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v26(constB151))),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[21989, 21988])).
% 28.24/18.80 tff(21991,plain,
% 28.24/18.80 (~v26(constB151)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[21990, 6750, 21977])).
% 28.24/18.80 tff(21992,assumption,(v113(constB151)), introduced(assumption)).
% 28.24/18.80 tff(21993,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | v112(constB151) | (~v113(constB151)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | v112(constB151) | (~v113(constB151)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(21994,plain,
% 28.24/18.80 ((v26(constB151) | (~v113(constB151)) | v112(constB151)) <=> (v26(constB151) | v112(constB151) | (~v113(constB151)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(21995,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | (~v113(constB151)) | v112(constB151))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | v112(constB151) | (~v113(constB151))))),
% 28.24/18.80 inference(monotonicity,[status(thm)],[21994])).
% 28.24/18.80 tff(21996,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | (~v113(constB151)) | v112(constB151))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | v112(constB151) | (~v113(constB151)))),
% 28.24/18.80 inference(transitivity,[status(thm)],[21995, 21993])).
% 28.24/18.80 tff(21997,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | (~v113(constB151)) | v112(constB151))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(21998,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | v112(constB151) | (~v113(constB151))),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[21997, 21996])).
% 28.24/18.80 tff(21999,plain,
% 28.24/18.80 (v26(constB151) | v112(constB151)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[21998, 328, 21992])).
% 28.24/18.80 tff(22000,plain,
% 28.24/18.80 ($false),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[21999, 21991, 21984])).
% 28.24/18.80 tff(22001,plain,(v108(constB151) | (~v113(constB151))), inference(lemma,lemma(discharge,[]))).
% 28.24/18.80 tff(22002,plain,
% 28.24/18.80 (v108(constB151)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22001, 21976])).
% 28.24/18.80 tff(22003,plain,
% 28.24/18.80 (nextState(constB151, constB152) <=> nextState(constB151, constB152)),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22004,axiom,(nextState(constB151, constB152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_151_1')).
% 28.24/18.80 tff(22005,plain,
% 28.24/18.80 (nextState(constB151, constB152)),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[22004, 22003])).
% 28.24/18.80 tff(22006,plain,
% 28.24/18.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22007,plain,
% 28.24/18.80 (((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152)) <=> ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22008,plain,
% 28.24/18.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151))))),
% 28.24/18.80 inference(monotonicity,[status(thm)],[22007])).
% 28.24/18.80 tff(22009,plain,
% 28.24/18.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 28.24/18.80 inference(transitivity,[status(thm)],[22008, 22006])).
% 28.24/18.80 tff(22010,plain,
% 28.24/18.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(22011,plain,
% 28.24/18.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151))),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[22010, 22009])).
% 28.24/18.80 tff(22012,plain,
% 28.24/18.80 (v110(constB152) | (~v108(constB151))),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22011, 360, 22005])).
% 28.24/18.80 tff(22013,plain,
% 28.24/18.80 (v110(constB152)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22012, 22002])).
% 28.24/18.80 tff(22014,plain,
% 28.24/18.80 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22015,plain,
% 28.24/18.80 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(22016,plain,
% 28.24/18.80 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152))),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[22015, 22014])).
% 28.24/18.80 tff(22017,plain,
% 28.24/18.80 (~v104(constB152)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22016, 378, 22005, 21858])).
% 28.24/18.80 tff(22018,plain,
% 28.24/18.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22019,plain,
% 28.24/18.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(22020,plain,
% 28.24/18.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB151, constB152)) | v102(constB152) | v104(constB152)),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[22019, 22018])).
% 28.24/18.80 tff(22021,plain,
% 28.24/18.80 (v102(constB152) | v104(constB152)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22020, 392, 22005])).
% 28.24/18.80 tff(22022,plain,
% 28.24/18.80 (v102(constB152)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22021, 22017])).
% 28.24/18.80 tff(22023,plain,
% 28.24/18.80 (v1(constB152) <=> v1(constB152)),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22024,axiom,(v1(constB152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_152_1')).
% 28.24/18.80 tff(22025,plain,
% 28.24/18.80 (v1(constB152)),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[22024, 22023])).
% 28.24/18.80 tff(22026,plain,
% 28.24/18.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22027,plain,
% 28.24/18.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(22028,plain,
% 28.24/18.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152))),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[22027, 22026])).
% 28.24/18.80 tff(22029,plain,
% 28.24/18.80 (v101(constB152) | (~v102(constB152))),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22028, 410, 22005, 22025])).
% 28.24/18.80 tff(22030,plain,
% 28.24/18.80 (v101(constB152)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22029, 22022])).
% 28.24/18.80 tff(22031,plain,
% 28.24/18.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22032,plain,
% 28.24/18.80 (((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152)) <=> ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22033,plain,
% 28.24/18.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152))))),
% 28.24/18.80 inference(monotonicity,[status(thm)],[22032])).
% 28.24/18.80 tff(22034,plain,
% 28.24/18.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 28.24/18.80 inference(transitivity,[status(thm)],[22033, 22031])).
% 28.24/18.80 tff(22035,plain,
% 28.24/18.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(22036,plain,
% 28.24/18.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152))),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[22035, 22034])).
% 28.24/18.80 tff(22037,plain,
% 28.24/18.80 (v100(constB152) | (~v101(constB152)) | (~v110(constB152))),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22036, 425, 22005])).
% 28.24/18.80 tff(22038,plain,
% 28.24/18.80 (v100(constB152) | (~v110(constB152))),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22037, 22030])).
% 28.24/18.80 tff(22039,plain,
% 28.24/18.80 (v100(constB152)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22038, 22013])).
% 28.24/18.80 tff(22040,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB151)) | v130(constB151, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB151)) | v130(constB151, 2))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22041,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB151)) | v130(constB151, 2))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(22042,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB151)) | v130(constB151, 2)),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[22041, 22040])).
% 28.24/18.80 tff(22043,plain,
% 28.24/18.80 (v130(constB151, 2)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22042, 1484, 21948])).
% 28.24/18.80 tff(22044,assumption,(v26(constB151)), introduced(assumption)).
% 28.24/18.80 tff(22045,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB151))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(22046,plain,
% 28.24/18.80 ($false),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22045, 95, 22044])).
% 28.24/18.80 tff(22047,plain,(~v26(constB151)), inference(lemma,lemma(discharge,[]))).
% 28.24/18.80 tff(22048,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB151) | (~v130(constB151, 2)) | v127(constB151, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB151) | (~v130(constB151, 2)) | v127(constB151, 2))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22049,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB151) | (~v130(constB151, 2)) | v127(constB151, 2))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(22050,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB151) | (~v130(constB151, 2)) | v127(constB151, 2)),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[22049, 22048])).
% 28.24/18.80 tff(22051,plain,
% 28.24/18.80 ((~v130(constB151, 2)) | v127(constB151, 2)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22050, 1498, 22047])).
% 28.24/18.80 tff(22052,plain,
% 28.24/18.80 (v127(constB151, 2)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22051, 22043])).
% 28.24/18.80 tff(22053,plain,
% 28.24/18.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB151, constB152)) | (~v127(constB151, 2)) | v129(constB152, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB151, constB152)) | (~v127(constB151, 2)) | v129(constB152, 2))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22054,plain,
% 28.24/18.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB151, constB152)) | (~v127(constB151, 2)) | v129(constB152, 2))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(22055,plain,
% 28.24/18.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB151, constB152)) | (~v127(constB151, 2)) | v129(constB152, 2)),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[22054, 22053])).
% 28.24/18.80 tff(22056,plain,
% 28.24/18.80 ((~v127(constB151, 2)) | v129(constB152, 2)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22055, 1513, 22005])).
% 28.24/18.80 tff(22057,plain,
% 28.24/18.80 (v129(constB152, 2)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22056, 22052])).
% 28.24/18.80 tff(22058,plain,
% 28.24/18.80 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB152, 2) | (~v129(constB152, 2)) | (~v100(constB152)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB152, 2) | (~v129(constB152, 2)) | (~v100(constB152)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22059,plain,
% 28.24/18.80 ((v90(constB152, 2) | (~v100(constB152)) | (~v129(constB152, 2))) <=> (v90(constB152, 2) | (~v129(constB152, 2)) | (~v100(constB152)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22060,plain,
% 28.24/18.80 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB152, 2) | (~v100(constB152)) | (~v129(constB152, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB152, 2) | (~v129(constB152, 2)) | (~v100(constB152))))),
% 28.24/18.80 inference(monotonicity,[status(thm)],[22059])).
% 28.24/18.80 tff(22061,plain,
% 28.24/18.80 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB152, 2) | (~v100(constB152)) | (~v129(constB152, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB152, 2) | (~v129(constB152, 2)) | (~v100(constB152)))),
% 28.24/18.80 inference(transitivity,[status(thm)],[22060, 22058])).
% 28.24/18.80 tff(22062,plain,
% 28.24/18.80 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB152, 2) | (~v100(constB152)) | (~v129(constB152, 2)))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(22063,plain,
% 28.24/18.80 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB152, 2) | (~v129(constB152, 2)) | (~v100(constB152))),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[22062, 22061])).
% 28.24/18.80 tff(22064,plain,
% 28.24/18.80 (v90(constB152, 2) | (~v100(constB152))),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22063, 1528, 22057])).
% 28.24/18.80 tff(22065,plain,
% 28.24/18.80 (v90(constB152, 2)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22064, 22039])).
% 28.24/18.80 tff(22066,plain,
% 28.24/18.80 ((~v1(constB153)) <=> (~v1(constB153))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22067,axiom,(~v1(constB153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_153_1_1')).
% 28.24/18.80 tff(22068,plain,
% 28.24/18.80 (~v1(constB153)),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[22067, 22066])).
% 28.24/18.80 tff(22069,plain,
% 28.24/18.80 (nextState(constB152, constB153) <=> nextState(constB152, constB153)),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22070,axiom,(nextState(constB152, constB153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_152_1')).
% 28.24/18.80 tff(22071,plain,
% 28.24/18.80 (nextState(constB152, constB153)),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[22070, 22069])).
% 28.24/18.80 tff(22072,plain,
% 28.24/18.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22073,plain,
% 28.24/18.80 (((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153)) <=> (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22074,plain,
% 28.24/18.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153))))),
% 28.24/18.80 inference(monotonicity,[status(thm)],[22073])).
% 28.24/18.80 tff(22075,plain,
% 28.24/18.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 28.24/18.80 inference(transitivity,[status(thm)],[22074, 22072])).
% 28.24/18.80 tff(22076,plain,
% 28.24/18.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(22077,plain,
% 28.24/18.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153))),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[22076, 22075])).
% 28.24/18.80 tff(22078,plain,
% 28.24/18.80 (~v101(constB153)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22077, 138, 22071, 22068])).
% 28.24/18.80 tff(22079,plain,
% 28.24/18.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22080,plain,
% 28.24/18.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(22081,plain,
% 28.24/18.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153))),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[22080, 22079])).
% 28.24/18.80 tff(22082,plain,
% 28.24/18.80 (v101(constB153) | (~v100(constB153))),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22081, 155, 22071])).
% 28.24/18.80 tff(22083,plain,
% 28.24/18.80 (~v100(constB153)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22082, 22078])).
% 28.24/18.80 tff(22084,plain,
% 28.24/18.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB152, 2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB152, 2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, 2))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22085,plain,
% 28.24/18.80 (((~nextState(constB152, constB153)) | (~v90(constB152, 2)) | v100(constB153) | v90(constB153, 2)) <=> ((~v90(constB152, 2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, 2))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22086,plain,
% 28.24/18.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, 2)) | v100(constB153) | v90(constB153, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB152, 2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, 2)))),
% 28.24/18.80 inference(monotonicity,[status(thm)],[22085])).
% 28.24/18.80 tff(22087,plain,
% 28.24/18.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, 2)) | v100(constB153) | v90(constB153, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB152, 2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, 2))),
% 28.24/18.80 inference(transitivity,[status(thm)],[22086, 22084])).
% 28.24/18.80 tff(22088,plain,
% 28.24/18.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, 2)) | v100(constB153) | v90(constB153, 2))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(22089,plain,
% 28.24/18.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB152, 2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, 2)),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[22088, 22087])).
% 28.24/18.80 tff(22090,plain,
% 28.24/18.80 ((~v90(constB152, 2)) | v100(constB153) | v90(constB153, 2)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22089, 1546, 22071])).
% 28.24/18.80 tff(22091,plain,
% 28.24/18.80 ((~v90(constB152, 2)) | v90(constB153, 2)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22090, 22083])).
% 28.24/18.80 tff(22092,plain,
% 28.24/18.80 (v90(constB153, 2)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22091, 22065])).
% 28.24/18.80 tff(22093,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB151)) | (~v130(constB151, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB151)) | (~v130(constB151, 1)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22094,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB151)) | (~v130(constB151, 1)))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(22095,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB151)) | (~v130(constB151, 1))),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[22094, 22093])).
% 28.24/18.80 tff(22096,plain,
% 28.24/18.80 (~v130(constB151, 1)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22095, 1424, 21948])).
% 28.24/18.80 tff(22097,assumption,(v127(constB151, 1)), introduced(assumption)).
% 28.24/18.80 tff(22098,assumption,(~v130(constB151, 1)), introduced(assumption)).
% 28.24/18.80 tff(22099,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB151, 1)) | v26(constB151) | v130(constB151, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB151, 1)) | v26(constB151) | v130(constB151, 1))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22100,plain,
% 28.24/18.80 ((v26(constB151) | v130(constB151, 1) | (~v127(constB151, 1))) <=> ((~v127(constB151, 1)) | v26(constB151) | v130(constB151, 1))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22101,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB151) | v130(constB151, 1) | (~v127(constB151, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB151, 1)) | v26(constB151) | v130(constB151, 1)))),
% 28.24/18.80 inference(monotonicity,[status(thm)],[22100])).
% 28.24/18.80 tff(22102,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB151) | v130(constB151, 1) | (~v127(constB151, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB151, 1)) | v26(constB151) | v130(constB151, 1))),
% 28.24/18.80 inference(transitivity,[status(thm)],[22101, 22099])).
% 28.24/18.80 tff(22103,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB151) | v130(constB151, 1) | (~v127(constB151, 1)))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(22104,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB151, 1)) | v26(constB151) | v130(constB151, 1)),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[22103, 22102])).
% 28.24/18.80 tff(22105,plain,
% 28.24/18.80 ((~v127(constB151, 1)) | v26(constB151)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22104, 541, 22098])).
% 28.24/18.80 tff(22106,plain,
% 28.24/18.80 (v26(constB151)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22105, 22097])).
% 28.24/18.80 tff(22107,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | ((~v26(constB151)) | (~v127(constB151, 1)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | (~v26(constB151)) | (~v127(constB151, 1)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22108,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | ((~v26(constB151)) | (~v127(constB151, 1)))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(22109,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | (~v26(constB151)) | (~v127(constB151, 1))),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[22108, 22107])).
% 28.24/18.80 tff(22110,plain,
% 28.24/18.80 ($false),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22109, 5538, 22097, 22106])).
% 28.24/18.80 tff(22111,plain,((~v127(constB151, 1)) | v130(constB151, 1)), inference(lemma,lemma(discharge,[]))).
% 28.24/18.80 tff(22112,plain,
% 28.24/18.80 (~v127(constB151, 1)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22111, 22096])).
% 28.24/18.80 tff(22113,plain,
% 28.24/18.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB151, constB152)) | v127(constB151, 1) | (~v129(constB152, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB151, constB152)) | v127(constB151, 1) | (~v129(constB152, 1)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22114,plain,
% 28.24/18.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB151, constB152)) | v127(constB151, 1) | (~v129(constB152, 1)))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(22115,plain,
% 28.24/18.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB151, constB152)) | v127(constB151, 1) | (~v129(constB152, 1))),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[22114, 22113])).
% 28.24/18.80 tff(22116,plain,
% 28.24/18.80 (v127(constB151, 1) | (~v129(constB152, 1))),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22115, 559, 22005])).
% 28.24/18.80 tff(22117,plain,
% 28.24/18.80 (~v129(constB152, 1)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22116, 22112])).
% 28.24/18.80 tff(22118,plain,
% 28.24/18.80 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB152, 1)) | v129(constB152, 1) | (~v100(constB152)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB152, 1)) | v129(constB152, 1) | (~v100(constB152)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22119,plain,
% 28.24/18.80 (((~v90(constB152, 1)) | (~v100(constB152)) | v129(constB152, 1)) <=> ((~v90(constB152, 1)) | v129(constB152, 1) | (~v100(constB152)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22120,plain,
% 28.24/18.80 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB152, 1)) | (~v100(constB152)) | v129(constB152, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB152, 1)) | v129(constB152, 1) | (~v100(constB152))))),
% 28.24/18.80 inference(monotonicity,[status(thm)],[22119])).
% 28.24/18.80 tff(22121,plain,
% 28.24/18.80 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB152, 1)) | (~v100(constB152)) | v129(constB152, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB152, 1)) | v129(constB152, 1) | (~v100(constB152)))),
% 28.24/18.80 inference(transitivity,[status(thm)],[22120, 22118])).
% 28.24/18.80 tff(22122,plain,
% 28.24/18.80 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB152, 1)) | (~v100(constB152)) | v129(constB152, 1))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(22123,plain,
% 28.24/18.80 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB152, 1)) | v129(constB152, 1) | (~v100(constB152))),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[22122, 22121])).
% 28.24/18.80 tff(22124,plain,
% 28.24/18.80 ((~v90(constB152, 1)) | (~v100(constB152))),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22123, 574, 22117])).
% 28.24/18.80 tff(22125,plain,
% 28.24/18.80 (~v90(constB152, 1)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22124, 22039])).
% 28.24/18.80 tff(22126,plain,
% 28.24/18.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB152, 1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB152, 1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 1)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22127,plain,
% 28.24/18.80 (((~nextState(constB152, constB153)) | v90(constB152, 1) | v100(constB153) | (~v90(constB153, 1))) <=> (v90(constB152, 1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 1)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22128,plain,
% 28.24/18.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB152, constB153)) | v90(constB152, 1) | v100(constB153) | (~v90(constB153, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB152, 1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 1))))),
% 28.24/18.80 inference(monotonicity,[status(thm)],[22127])).
% 28.24/18.80 tff(22129,plain,
% 28.24/18.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB152, constB153)) | v90(constB152, 1) | v100(constB153) | (~v90(constB153, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB152, 1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 1)))),
% 28.24/18.80 inference(transitivity,[status(thm)],[22128, 22126])).
% 28.24/18.80 tff(22130,plain,
% 28.24/18.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB152, constB153)) | v90(constB152, 1) | v100(constB153) | (~v90(constB153, 1)))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(22131,plain,
% 28.24/18.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB152, 1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 1))),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[22130, 22129])).
% 28.24/18.80 tff(22132,plain,
% 28.24/18.80 (v90(constB152, 1) | v100(constB153) | (~v90(constB153, 1))),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22131, 191, 22071])).
% 28.24/18.80 tff(22133,plain,
% 28.24/18.80 (v90(constB152, 1) | (~v90(constB153, 1))),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22132, 22083])).
% 28.24/18.80 tff(22134,plain,
% 28.24/18.80 (~v90(constB153, 1)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22133, 22125])).
% 28.24/18.80 tff(22135,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB151)) | (~v130(constB151, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB151)) | (~v130(constB151, 0)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22136,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB151)) | (~v130(constB151, 0)))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(22137,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB151)) | (~v130(constB151, 0))),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[22136, 22135])).
% 28.24/18.80 tff(22138,plain,
% 28.24/18.80 (~v130(constB151, 0)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22137, 1351, 21948])).
% 28.24/18.80 tff(22139,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB151, 0)) | v26(constB151) | v130(constB151, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB151, 0)) | v26(constB151) | v130(constB151, 0))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22140,plain,
% 28.24/18.80 ((v26(constB151) | v130(constB151, 0) | (~v127(constB151, 0))) <=> ((~v127(constB151, 0)) | v26(constB151) | v130(constB151, 0))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22141,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB151) | v130(constB151, 0) | (~v127(constB151, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB151, 0)) | v26(constB151) | v130(constB151, 0)))),
% 28.24/18.80 inference(monotonicity,[status(thm)],[22140])).
% 28.24/18.80 tff(22142,plain,
% 28.24/18.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB151) | v130(constB151, 0) | (~v127(constB151, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB151, 0)) | v26(constB151) | v130(constB151, 0))),
% 28.24/18.80 inference(transitivity,[status(thm)],[22141, 22139])).
% 28.24/18.80 tff(22143,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB151) | v130(constB151, 0) | (~v127(constB151, 0)))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(22144,plain,
% 28.24/18.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB151, 0)) | v26(constB151) | v130(constB151, 0)),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[22143, 22142])).
% 28.24/18.80 tff(22145,plain,
% 28.24/18.80 ((~v127(constB151, 0)) | v130(constB151, 0)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22144, 933, 22047])).
% 28.24/18.80 tff(22146,plain,
% 28.24/18.80 (~v127(constB151, 0)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22145, 22138])).
% 28.24/18.80 tff(22147,plain,
% 28.24/18.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB151, constB152)) | v127(constB151, 0) | (~v129(constB152, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB151, constB152)) | v127(constB151, 0) | (~v129(constB152, 0)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22148,plain,
% 28.24/18.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB151, constB152)) | v127(constB151, 0) | (~v129(constB152, 0)))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(22149,plain,
% 28.24/18.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB151, constB152)) | v127(constB151, 0) | (~v129(constB152, 0))),
% 28.24/18.80 inference(modus_ponens,[status(thm)],[22148, 22147])).
% 28.24/18.80 tff(22150,plain,
% 28.24/18.80 (v127(constB151, 0) | (~v129(constB152, 0))),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22149, 951, 22005])).
% 28.24/18.80 tff(22151,plain,
% 28.24/18.80 (~v129(constB152, 0)),
% 28.24/18.80 inference(unit_resolution,[status(thm)],[22150, 22146])).
% 28.24/18.80 tff(22152,plain,
% 28.24/18.80 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB152, 0)) | v129(constB152, 0) | (~v100(constB152)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB152, 0)) | v129(constB152, 0) | (~v100(constB152)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22153,plain,
% 28.24/18.80 (((~v90(constB152, 0)) | (~v100(constB152)) | v129(constB152, 0)) <=> ((~v90(constB152, 0)) | v129(constB152, 0) | (~v100(constB152)))),
% 28.24/18.80 inference(rewrite,[status(thm)],[])).
% 28.24/18.80 tff(22154,plain,
% 28.24/18.80 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB152, 0)) | (~v100(constB152)) | v129(constB152, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB152, 0)) | v129(constB152, 0) | (~v100(constB152))))),
% 28.24/18.80 inference(monotonicity,[status(thm)],[22153])).
% 28.24/18.80 tff(22155,plain,
% 28.24/18.80 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB152, 0)) | (~v100(constB152)) | v129(constB152, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB152, 0)) | v129(constB152, 0) | (~v100(constB152)))),
% 28.24/18.80 inference(transitivity,[status(thm)],[22154, 22152])).
% 28.24/18.80 tff(22156,plain,
% 28.24/18.80 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB152, 0)) | (~v100(constB152)) | v129(constB152, 0))),
% 28.24/18.80 inference(quant_inst,[status(thm)],[])).
% 28.24/18.80 tff(22157,plain,
% 28.24/18.81 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB152, 0)) | v129(constB152, 0) | (~v100(constB152))),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22156, 22155])).
% 28.24/18.81 tff(22158,plain,
% 28.24/18.81 ((~v90(constB152, 0)) | (~v100(constB152))),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22157, 966, 22151])).
% 28.24/18.81 tff(22159,plain,
% 28.24/18.81 (~v90(constB152, 0)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22158, 22039])).
% 28.24/18.81 tff(22160,plain,
% 28.24/18.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB152, 0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB152, 0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 0)))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22161,plain,
% 28.24/18.81 (((~nextState(constB152, constB153)) | v90(constB152, 0) | v100(constB153) | (~v90(constB153, 0))) <=> (v90(constB152, 0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 0)))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22162,plain,
% 28.24/18.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB152, constB153)) | v90(constB152, 0) | v100(constB153) | (~v90(constB153, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB152, 0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 0))))),
% 28.24/18.81 inference(monotonicity,[status(thm)],[22161])).
% 28.24/18.81 tff(22163,plain,
% 28.24/18.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB152, constB153)) | v90(constB152, 0) | v100(constB153) | (~v90(constB153, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB152, 0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 0)))),
% 28.24/18.81 inference(transitivity,[status(thm)],[22162, 22160])).
% 28.24/18.81 tff(22164,plain,
% 28.24/18.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB152, constB153)) | v90(constB152, 0) | v100(constB153) | (~v90(constB153, 0)))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22165,plain,
% 28.24/18.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB152, 0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 0))),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22164, 22163])).
% 28.24/18.81 tff(22166,plain,
% 28.24/18.81 (v90(constB152, 0) | v100(constB153) | (~v90(constB153, 0))),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22165, 212, 22071])).
% 28.24/18.81 tff(22167,plain,
% 28.24/18.81 (v90(constB152, 0) | (~v90(constB153, 0))),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22166, 22083])).
% 28.24/18.81 tff(22168,plain,
% 28.24/18.81 (~v90(constB153, 0)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22167, 22159])).
% 28.24/18.81 tff(22169,plain,
% 28.24/18.81 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB153, 0) | v90(constB153, 1) | (~v90(constB153, 2)) | v123(constB153))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB153, 0) | v90(constB153, 1) | (~v90(constB153, 2)) | v123(constB153))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22170,plain,
% 28.24/18.81 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB153, 0) | v90(constB153, 1) | (~v90(constB153, 2)) | v123(constB153))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22171,plain,
% 28.24/18.81 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB153, 0) | v90(constB153, 1) | (~v90(constB153, 2)) | v123(constB153)),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22170, 22169])).
% 28.24/18.81 tff(22172,plain,
% 28.24/18.81 (v123(constB153)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22171, 1565, 22168, 22134, 22092])).
% 28.24/18.81 tff(22173,plain,
% 28.24/18.81 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB153) | (~v123(constB153)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB153) | (~v123(constB153)))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22174,plain,
% 28.24/18.81 (((~v123(constB153)) | v115(constB153)) <=> (v115(constB153) | (~v123(constB153)))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22175,plain,
% 28.24/18.81 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB153)) | v115(constB153))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB153) | (~v123(constB153))))),
% 28.24/18.81 inference(monotonicity,[status(thm)],[22174])).
% 28.24/18.81 tff(22176,plain,
% 28.24/18.81 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB153)) | v115(constB153))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB153) | (~v123(constB153)))),
% 28.24/18.81 inference(transitivity,[status(thm)],[22175, 22173])).
% 28.24/18.81 tff(22177,plain,
% 28.24/18.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB153)) | v115(constB153))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22178,plain,
% 28.24/18.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB153) | (~v123(constB153))),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22177, 22176])).
% 28.24/18.81 tff(22179,plain,
% 28.24/18.81 (v115(constB153)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22178, 1579, 22172])).
% 28.24/18.81 tff(22180,plain,
% 28.24/18.81 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB153) | (~v115(constB153)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB153) | (~v115(constB153)))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22181,plain,
% 28.24/18.81 (((~v115(constB153)) | v114(constB153)) <=> (v114(constB153) | (~v115(constB153)))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22182,plain,
% 28.24/18.81 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB153)) | v114(constB153))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB153) | (~v115(constB153))))),
% 28.24/18.81 inference(monotonicity,[status(thm)],[22181])).
% 28.24/18.81 tff(22183,plain,
% 28.24/18.81 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB153)) | v114(constB153))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB153) | (~v115(constB153)))),
% 28.24/18.81 inference(transitivity,[status(thm)],[22182, 22180])).
% 28.24/18.81 tff(22184,plain,
% 28.24/18.81 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB153)) | v114(constB153))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22185,plain,
% 28.24/18.81 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB153) | (~v115(constB153))),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22184, 22183])).
% 28.24/18.81 tff(22186,plain,
% 28.24/18.81 (v114(constB153)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22185, 300, 22179])).
% 28.24/18.81 tff(22187,plain,
% 28.24/18.81 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB153)) | v113(constB153))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB153)) | v113(constB153))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22188,plain,
% 28.24/18.81 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB153)) | v113(constB153))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22189,plain,
% 28.24/18.81 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB153)) | v113(constB153)),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22188, 22187])).
% 28.24/18.81 tff(22190,plain,
% 28.24/18.81 (v113(constB153)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22189, 314, 22186])).
% 28.24/18.81 tff(22191,assumption,(v26(constB153)), introduced(assumption)).
% 28.24/18.81 tff(22192,plain,
% 28.24/18.81 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB153))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22193,plain,
% 28.24/18.81 ($false),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22192, 95, 22191])).
% 28.24/18.81 tff(22194,plain,(~v26(constB153)), inference(lemma,lemma(discharge,[]))).
% 28.24/18.81 tff(22195,plain,
% 28.24/18.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | (~v113(constB153)) | v112(constB153))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22196,plain,
% 28.24/18.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22197,plain,
% 28.24/18.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | (~v113(constB153)) | v112(constB153)),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22196, 22195])).
% 28.24/18.81 tff(22198,plain,
% 28.24/18.81 ((~v113(constB153)) | v112(constB153)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22197, 328, 22194])).
% 28.24/18.81 tff(22199,plain,
% 28.24/18.81 (v112(constB153)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22198, 22190])).
% 28.24/18.81 tff(22200,plain,
% 28.24/18.81 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB153) | (~v112(constB153)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB153) | (~v112(constB153)))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22201,plain,
% 28.24/18.81 (((~v112(constB153)) | v108(constB153)) <=> (v108(constB153) | (~v112(constB153)))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22202,plain,
% 28.24/18.81 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB153)) | v108(constB153))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB153) | (~v112(constB153))))),
% 28.24/18.81 inference(monotonicity,[status(thm)],[22201])).
% 28.24/18.81 tff(22203,plain,
% 28.24/18.81 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB153)) | v108(constB153))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB153) | (~v112(constB153)))),
% 28.24/18.81 inference(transitivity,[status(thm)],[22202, 22200])).
% 28.24/18.81 tff(22204,plain,
% 28.24/18.81 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB153)) | v108(constB153))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22205,plain,
% 28.24/18.81 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB153) | (~v112(constB153))),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22204, 22203])).
% 28.24/18.81 tff(22206,plain,
% 28.24/18.81 (v108(constB153)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22205, 340, 22199])).
% 28.24/18.81 tff(22207,plain,
% 28.24/18.81 (nextState(constB153, constB154) <=> nextState(constB153, constB154)),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22208,axiom,(nextState(constB153, constB154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_153_1')).
% 28.24/18.81 tff(22209,plain,
% 28.24/18.81 (nextState(constB153, constB154)),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22208, 22207])).
% 28.24/18.81 tff(22210,plain,
% 28.24/18.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22211,plain,
% 28.24/18.81 (((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154)) <=> ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22212,plain,
% 28.24/18.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153))))),
% 28.24/18.81 inference(monotonicity,[status(thm)],[22211])).
% 28.24/18.81 tff(22213,plain,
% 28.24/18.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 28.24/18.81 inference(transitivity,[status(thm)],[22212, 22210])).
% 28.24/18.81 tff(22214,plain,
% 28.24/18.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22215,plain,
% 28.24/18.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153))),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22214, 22213])).
% 28.24/18.81 tff(22216,plain,
% 28.24/18.81 (v110(constB154) | (~v108(constB153))),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22215, 360, 22209])).
% 28.24/18.81 tff(22217,plain,
% 28.24/18.81 (v110(constB154)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22216, 22206])).
% 28.24/18.81 tff(22218,plain,
% 28.24/18.81 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22219,plain,
% 28.24/18.81 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22220,plain,
% 28.24/18.81 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154))),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22219, 22218])).
% 28.24/18.81 tff(22221,plain,
% 28.24/18.81 (~v104(constB154)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22220, 378, 22209, 22068])).
% 28.24/18.81 tff(22222,plain,
% 28.24/18.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22223,plain,
% 28.24/18.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22224,plain,
% 28.24/18.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB153, constB154)) | v102(constB154) | v104(constB154)),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22223, 22222])).
% 28.24/18.81 tff(22225,plain,
% 28.24/18.81 (v102(constB154) | v104(constB154)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22224, 392, 22209])).
% 28.24/18.81 tff(22226,plain,
% 28.24/18.81 (v102(constB154)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22225, 22221])).
% 28.24/18.81 tff(22227,plain,
% 28.24/18.81 (v1(constB154) <=> v1(constB154)),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22228,axiom,(v1(constB154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_154_1')).
% 28.24/18.81 tff(22229,plain,
% 28.24/18.81 (v1(constB154)),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22228, 22227])).
% 28.24/18.81 tff(22230,plain,
% 28.24/18.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22231,plain,
% 28.24/18.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22232,plain,
% 28.24/18.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154))),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22231, 22230])).
% 28.24/18.81 tff(22233,plain,
% 28.24/18.81 (v101(constB154) | (~v102(constB154))),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22232, 410, 22209, 22229])).
% 28.24/18.81 tff(22234,plain,
% 28.24/18.81 (v101(constB154)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22233, 22226])).
% 28.24/18.81 tff(22235,plain,
% 28.24/18.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22236,plain,
% 28.24/18.81 (((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154)) <=> ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22237,plain,
% 28.24/18.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154))))),
% 28.24/18.81 inference(monotonicity,[status(thm)],[22236])).
% 28.24/18.81 tff(22238,plain,
% 28.24/18.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 28.24/18.81 inference(transitivity,[status(thm)],[22237, 22235])).
% 28.24/18.81 tff(22239,plain,
% 28.24/18.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22240,plain,
% 28.24/18.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154))),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22239, 22238])).
% 28.24/18.81 tff(22241,plain,
% 28.24/18.81 (v100(constB154) | (~v101(constB154)) | (~v110(constB154))),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22240, 425, 22209])).
% 28.24/18.81 tff(22242,plain,
% 28.24/18.81 (v100(constB154) | (~v110(constB154))),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22241, 22234])).
% 28.24/18.81 tff(22243,plain,
% 28.24/18.81 (v100(constB154)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22242, 22217])).
% 28.24/18.81 tff(22244,plain,
% 28.24/18.81 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB153)) | v130(constB153, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB153)) | v130(constB153, 2))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22245,plain,
% 28.24/18.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB153)) | v130(constB153, 2))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22246,plain,
% 28.24/18.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB153)) | v130(constB153, 2)),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22245, 22244])).
% 28.24/18.81 tff(22247,plain,
% 28.24/18.81 (v130(constB153, 2)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22246, 1656, 22172])).
% 28.24/18.81 tff(22248,plain,
% 28.24/18.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB153) | (~v130(constB153, 2)) | v127(constB153, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB153) | (~v130(constB153, 2)) | v127(constB153, 2))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22249,plain,
% 28.24/18.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB153) | (~v130(constB153, 2)) | v127(constB153, 2))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22250,plain,
% 28.24/18.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB153) | (~v130(constB153, 2)) | v127(constB153, 2)),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22249, 22248])).
% 28.24/18.81 tff(22251,plain,
% 28.24/18.81 ((~v130(constB153, 2)) | v127(constB153, 2)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22250, 1498, 22194])).
% 28.24/18.81 tff(22252,plain,
% 28.24/18.81 (v127(constB153, 2)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22251, 22247])).
% 28.24/18.81 tff(22253,plain,
% 28.24/18.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB153, constB154)) | (~v127(constB153, 2)) | v129(constB154, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB153, constB154)) | (~v127(constB153, 2)) | v129(constB154, 2))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22254,plain,
% 28.24/18.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB153, constB154)) | (~v127(constB153, 2)) | v129(constB154, 2))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22255,plain,
% 28.24/18.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB153, constB154)) | (~v127(constB153, 2)) | v129(constB154, 2)),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22254, 22253])).
% 28.24/18.81 tff(22256,plain,
% 28.24/18.81 ((~v127(constB153, 2)) | v129(constB154, 2)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22255, 1513, 22209])).
% 28.24/18.81 tff(22257,plain,
% 28.24/18.81 (v129(constB154, 2)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22256, 22252])).
% 28.24/18.81 tff(22258,plain,
% 28.24/18.81 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB154, 2) | (~v129(constB154, 2)) | (~v100(constB154)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB154, 2) | (~v129(constB154, 2)) | (~v100(constB154)))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22259,plain,
% 28.24/18.81 ((v90(constB154, 2) | (~v100(constB154)) | (~v129(constB154, 2))) <=> (v90(constB154, 2) | (~v129(constB154, 2)) | (~v100(constB154)))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22260,plain,
% 28.24/18.81 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB154, 2) | (~v100(constB154)) | (~v129(constB154, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB154, 2) | (~v129(constB154, 2)) | (~v100(constB154))))),
% 28.24/18.81 inference(monotonicity,[status(thm)],[22259])).
% 28.24/18.81 tff(22261,plain,
% 28.24/18.81 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB154, 2) | (~v100(constB154)) | (~v129(constB154, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB154, 2) | (~v129(constB154, 2)) | (~v100(constB154)))),
% 28.24/18.81 inference(transitivity,[status(thm)],[22260, 22258])).
% 28.24/18.81 tff(22262,plain,
% 28.24/18.81 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB154, 2) | (~v100(constB154)) | (~v129(constB154, 2)))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22263,plain,
% 28.24/18.81 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB154, 2) | (~v129(constB154, 2)) | (~v100(constB154))),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22262, 22261])).
% 28.24/18.81 tff(22264,plain,
% 28.24/18.81 (v90(constB154, 2) | (~v100(constB154))),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22263, 1528, 22257])).
% 28.24/18.81 tff(22265,plain,
% 28.24/18.81 (v90(constB154, 2)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22264, 22243])).
% 28.24/18.81 tff(22266,plain,
% 28.24/18.81 ((~v1(constB155)) <=> (~v1(constB155))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22267,axiom,(~v1(constB155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_155_1_1')).
% 28.24/18.81 tff(22268,plain,
% 28.24/18.81 (~v1(constB155)),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22267, 22266])).
% 28.24/18.81 tff(22269,plain,
% 28.24/18.81 (nextState(constB154, constB155) <=> nextState(constB154, constB155)),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22270,axiom,(nextState(constB154, constB155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_154_1')).
% 28.24/18.81 tff(22271,plain,
% 28.24/18.81 (nextState(constB154, constB155)),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22270, 22269])).
% 28.24/18.81 tff(22272,plain,
% 28.24/18.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22273,plain,
% 28.24/18.81 (((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155)) <=> (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22274,plain,
% 28.24/18.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155))))),
% 28.24/18.81 inference(monotonicity,[status(thm)],[22273])).
% 28.24/18.81 tff(22275,plain,
% 28.24/18.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 28.24/18.81 inference(transitivity,[status(thm)],[22274, 22272])).
% 28.24/18.81 tff(22276,plain,
% 28.24/18.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22277,plain,
% 28.24/18.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155))),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22276, 22275])).
% 28.24/18.81 tff(22278,plain,
% 28.24/18.81 (~v101(constB155)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22277, 138, 22271, 22268])).
% 28.24/18.81 tff(22279,plain,
% 28.24/18.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22280,plain,
% 28.24/18.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22281,plain,
% 28.24/18.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155))),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22280, 22279])).
% 28.24/18.81 tff(22282,plain,
% 28.24/18.81 (v101(constB155) | (~v100(constB155))),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22281, 155, 22271])).
% 28.24/18.81 tff(22283,plain,
% 28.24/18.81 (~v100(constB155)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22282, 22278])).
% 28.24/18.81 tff(22284,plain,
% 28.24/18.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB154, 2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB154, 2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 2))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22285,plain,
% 28.24/18.81 (((~nextState(constB154, constB155)) | (~v90(constB154, 2)) | v100(constB155) | v90(constB155, 2)) <=> ((~v90(constB154, 2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 2))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22286,plain,
% 28.24/18.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, 2)) | v100(constB155) | v90(constB155, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB154, 2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 2)))),
% 28.24/18.81 inference(monotonicity,[status(thm)],[22285])).
% 28.24/18.81 tff(22287,plain,
% 28.24/18.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, 2)) | v100(constB155) | v90(constB155, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB154, 2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 2))),
% 28.24/18.81 inference(transitivity,[status(thm)],[22286, 22284])).
% 28.24/18.81 tff(22288,plain,
% 28.24/18.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, 2)) | v100(constB155) | v90(constB155, 2))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22289,plain,
% 28.24/18.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB154, 2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 2)),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22288, 22287])).
% 28.24/18.81 tff(22290,plain,
% 28.24/18.81 ((~v90(constB154, 2)) | v100(constB155) | v90(constB155, 2)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22289, 1546, 22271])).
% 28.24/18.81 tff(22291,plain,
% 28.24/18.81 ((~v90(constB154, 2)) | v90(constB155, 2)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22290, 22283])).
% 28.24/18.81 tff(22292,plain,
% 28.24/18.81 (v90(constB155, 2)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22291, 22265])).
% 28.24/18.81 tff(22293,plain,
% 28.24/18.81 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB153)) | (~v130(constB153, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB153)) | (~v130(constB153, 1)))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22294,plain,
% 28.24/18.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB153)) | (~v130(constB153, 1)))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22295,plain,
% 28.24/18.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB153)) | (~v130(constB153, 1))),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22294, 22293])).
% 28.24/18.81 tff(22296,plain,
% 28.24/18.81 (~v130(constB153, 1)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22295, 1712, 22172])).
% 28.24/18.81 tff(22297,plain,
% 28.24/18.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB153, 1)) | v26(constB153) | v130(constB153, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB153, 1)) | v26(constB153) | v130(constB153, 1))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22298,plain,
% 28.24/18.81 ((v26(constB153) | v130(constB153, 1) | (~v127(constB153, 1))) <=> ((~v127(constB153, 1)) | v26(constB153) | v130(constB153, 1))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22299,plain,
% 28.24/18.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB153) | v130(constB153, 1) | (~v127(constB153, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB153, 1)) | v26(constB153) | v130(constB153, 1)))),
% 28.24/18.81 inference(monotonicity,[status(thm)],[22298])).
% 28.24/18.81 tff(22300,plain,
% 28.24/18.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB153) | v130(constB153, 1) | (~v127(constB153, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB153, 1)) | v26(constB153) | v130(constB153, 1))),
% 28.24/18.81 inference(transitivity,[status(thm)],[22299, 22297])).
% 28.24/18.81 tff(22301,plain,
% 28.24/18.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB153) | v130(constB153, 1) | (~v127(constB153, 1)))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22302,plain,
% 28.24/18.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB153, 1)) | v26(constB153) | v130(constB153, 1)),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22301, 22300])).
% 28.24/18.81 tff(22303,plain,
% 28.24/18.81 ((~v127(constB153, 1)) | v130(constB153, 1)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22302, 541, 22194])).
% 28.24/18.81 tff(22304,plain,
% 28.24/18.81 (~v127(constB153, 1)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22303, 22296])).
% 28.24/18.81 tff(22305,plain,
% 28.24/18.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB153, constB154)) | v127(constB153, 1) | (~v129(constB154, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB153, constB154)) | v127(constB153, 1) | (~v129(constB154, 1)))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22306,plain,
% 28.24/18.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB153, constB154)) | v127(constB153, 1) | (~v129(constB154, 1)))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22307,plain,
% 28.24/18.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB153, constB154)) | v127(constB153, 1) | (~v129(constB154, 1))),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22306, 22305])).
% 28.24/18.81 tff(22308,plain,
% 28.24/18.81 (v127(constB153, 1) | (~v129(constB154, 1))),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22307, 559, 22209])).
% 28.24/18.81 tff(22309,plain,
% 28.24/18.81 (~v129(constB154, 1)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22308, 22304])).
% 28.24/18.81 tff(22310,plain,
% 28.24/18.81 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB154, 1)) | v129(constB154, 1) | (~v100(constB154)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB154, 1)) | v129(constB154, 1) | (~v100(constB154)))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22311,plain,
% 28.24/18.81 (((~v90(constB154, 1)) | (~v100(constB154)) | v129(constB154, 1)) <=> ((~v90(constB154, 1)) | v129(constB154, 1) | (~v100(constB154)))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22312,plain,
% 28.24/18.81 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB154, 1)) | (~v100(constB154)) | v129(constB154, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB154, 1)) | v129(constB154, 1) | (~v100(constB154))))),
% 28.24/18.81 inference(monotonicity,[status(thm)],[22311])).
% 28.24/18.81 tff(22313,plain,
% 28.24/18.81 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB154, 1)) | (~v100(constB154)) | v129(constB154, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB154, 1)) | v129(constB154, 1) | (~v100(constB154)))),
% 28.24/18.81 inference(transitivity,[status(thm)],[22312, 22310])).
% 28.24/18.81 tff(22314,plain,
% 28.24/18.81 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB154, 1)) | (~v100(constB154)) | v129(constB154, 1))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22315,plain,
% 28.24/18.81 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB154, 1)) | v129(constB154, 1) | (~v100(constB154))),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22314, 22313])).
% 28.24/18.81 tff(22316,plain,
% 28.24/18.81 ((~v90(constB154, 1)) | (~v100(constB154))),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22315, 574, 22309])).
% 28.24/18.81 tff(22317,plain,
% 28.24/18.81 (~v90(constB154, 1)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22316, 22243])).
% 28.24/18.81 tff(22318,plain,
% 28.24/18.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB154, 1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB154, 1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 1)))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22319,plain,
% 28.24/18.81 (((~nextState(constB154, constB155)) | v90(constB154, 1) | v100(constB155) | (~v90(constB155, 1))) <=> (v90(constB154, 1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 1)))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22320,plain,
% 28.24/18.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB154, constB155)) | v90(constB154, 1) | v100(constB155) | (~v90(constB155, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB154, 1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 1))))),
% 28.24/18.81 inference(monotonicity,[status(thm)],[22319])).
% 28.24/18.81 tff(22321,plain,
% 28.24/18.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB154, constB155)) | v90(constB154, 1) | v100(constB155) | (~v90(constB155, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB154, 1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 1)))),
% 28.24/18.81 inference(transitivity,[status(thm)],[22320, 22318])).
% 28.24/18.81 tff(22322,plain,
% 28.24/18.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB154, constB155)) | v90(constB154, 1) | v100(constB155) | (~v90(constB155, 1)))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22323,plain,
% 28.24/18.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB154, 1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 1))),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22322, 22321])).
% 28.24/18.81 tff(22324,plain,
% 28.24/18.81 (v90(constB154, 1) | v100(constB155) | (~v90(constB155, 1))),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22323, 191, 22271])).
% 28.24/18.81 tff(22325,plain,
% 28.24/18.81 (v90(constB154, 1) | (~v90(constB155, 1))),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22324, 22283])).
% 28.24/18.81 tff(22326,plain,
% 28.24/18.81 (~v90(constB155, 1)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22325, 22317])).
% 28.24/18.81 tff(22327,plain,
% 28.24/18.81 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB153)) | v130(constB153, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB153)) | v130(constB153, 0))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22328,plain,
% 28.24/18.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB153)) | v130(constB153, 0))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22329,plain,
% 28.24/18.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB153)) | v130(constB153, 0)),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22328, 22327])).
% 28.24/18.81 tff(22330,plain,
% 28.24/18.81 (v130(constB153, 0)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22329, 1753, 22172])).
% 28.24/18.81 tff(22331,plain,
% 28.24/18.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB153) | (~v130(constB153, 0)) | v127(constB153, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB153) | (~v130(constB153, 0)) | v127(constB153, 0))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22332,plain,
% 28.24/18.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB153) | (~v130(constB153, 0)) | v127(constB153, 0))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22333,plain,
% 28.24/18.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB153) | (~v130(constB153, 0)) | v127(constB153, 0)),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22332, 22331])).
% 28.24/18.81 tff(22334,plain,
% 28.24/18.81 ((~v130(constB153, 0)) | v127(constB153, 0)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22333, 612, 22194])).
% 28.24/18.81 tff(22335,plain,
% 28.24/18.81 (v127(constB153, 0)),
% 28.24/18.81 inference(unit_resolution,[status(thm)],[22334, 22330])).
% 28.24/18.81 tff(22336,plain,
% 28.24/18.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB153, constB154)) | (~v127(constB153, 0)) | v129(constB154, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB153, constB154)) | (~v127(constB153, 0)) | v129(constB154, 0))),
% 28.24/18.81 inference(rewrite,[status(thm)],[])).
% 28.24/18.81 tff(22337,plain,
% 28.24/18.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB153, constB154)) | (~v127(constB153, 0)) | v129(constB154, 0))),
% 28.24/18.81 inference(quant_inst,[status(thm)],[])).
% 28.24/18.81 tff(22338,plain,
% 28.24/18.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB153, constB154)) | (~v127(constB153, 0)) | v129(constB154, 0)),
% 28.24/18.81 inference(modus_ponens,[status(thm)],[22337, 22336])).
% 28.24/18.81 tff(22339,plain,
% 28.24/18.81 ((~v127(constB153, 0)) | v129(constB154, 0)),
% 28.24/18.82 inference(unit_resolution,[status(thm)],[22338, 627, 22209])).
% 28.24/18.82 tff(22340,plain,
% 28.24/18.82 (v129(constB154, 0)),
% 28.24/18.82 inference(unit_resolution,[status(thm)],[22339, 22335])).
% 28.24/18.82 tff(22341,plain,
% 28.24/18.82 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB154, 0) | (~v129(constB154, 0)) | (~v100(constB154)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB154, 0) | (~v129(constB154, 0)) | (~v100(constB154)))),
% 28.24/18.82 inference(rewrite,[status(thm)],[])).
% 28.24/18.82 tff(22342,plain,
% 28.24/18.82 ((v90(constB154, 0) | (~v100(constB154)) | (~v129(constB154, 0))) <=> (v90(constB154, 0) | (~v129(constB154, 0)) | (~v100(constB154)))),
% 28.24/18.82 inference(rewrite,[status(thm)],[])).
% 28.24/18.82 tff(22343,plain,
% 28.24/18.82 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB154, 0) | (~v100(constB154)) | (~v129(constB154, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB154, 0) | (~v129(constB154, 0)) | (~v100(constB154))))),
% 28.24/18.82 inference(monotonicity,[status(thm)],[22342])).
% 28.24/18.82 tff(22344,plain,
% 28.24/18.82 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB154, 0) | (~v100(constB154)) | (~v129(constB154, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB154, 0) | (~v129(constB154, 0)) | (~v100(constB154)))),
% 28.24/18.82 inference(transitivity,[status(thm)],[22343, 22341])).
% 28.24/18.82 tff(22345,plain,
% 28.24/18.82 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB154, 0) | (~v100(constB154)) | (~v129(constB154, 0)))),
% 28.24/18.82 inference(quant_inst,[status(thm)],[])).
% 28.24/18.82 tff(22346,plain,
% 28.24/18.82 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB154, 0) | (~v129(constB154, 0)) | (~v100(constB154))),
% 28.24/18.82 inference(modus_ponens,[status(thm)],[22345, 22344])).
% 28.24/18.82 tff(22347,plain,
% 28.24/18.82 (v90(constB154, 0) | (~v100(constB154))),
% 28.24/18.82 inference(unit_resolution,[status(thm)],[22346, 642, 22340])).
% 28.24/18.82 tff(22348,plain,
% 28.24/18.82 (v90(constB154, 0)),
% 28.24/18.82 inference(unit_resolution,[status(thm)],[22347, 22243])).
% 28.24/18.82 tff(22349,plain,
% 28.24/18.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB154, 0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB154, 0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 0))),
% 28.24/18.82 inference(rewrite,[status(thm)],[])).
% 28.24/18.82 tff(22350,plain,
% 28.24/18.82 (((~nextState(constB154, constB155)) | (~v90(constB154, 0)) | v100(constB155) | v90(constB155, 0)) <=> ((~v90(constB154, 0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 0))),
% 28.24/18.82 inference(rewrite,[status(thm)],[])).
% 28.24/18.82 tff(22351,plain,
% 28.24/18.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB154, constB155)) | (~v90(constB154, 0)) | v100(constB155) | v90(constB155, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB154, 0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 0)))),
% 28.24/18.82 inference(monotonicity,[status(thm)],[22350])).
% 28.24/18.82 tff(22352,plain,
% 28.24/18.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB154, constB155)) | (~v90(constB154, 0)) | v100(constB155) | v90(constB155, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB154, 0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 0))),
% 28.24/18.82 inference(transitivity,[status(thm)],[22351, 22349])).
% 28.24/18.82 tff(22353,plain,
% 28.24/18.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB154, constB155)) | (~v90(constB154, 0)) | v100(constB155) | v90(constB155, 0))),
% 28.24/18.82 inference(quant_inst,[status(thm)],[])).
% 28.24/18.82 tff(22354,plain,
% 28.24/18.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB154, 0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 0)),
% 28.24/18.82 inference(modus_ponens,[status(thm)],[22353, 22352])).
% 28.24/18.82 tff(22355,plain,
% 28.24/18.82 ((~v90(constB154, 0)) | v100(constB155) | v90(constB155, 0)),
% 28.24/18.82 inference(unit_resolution,[status(thm)],[22354, 660, 22271])).
% 28.24/18.82 tff(22356,plain,
% 28.24/18.82 ((~v90(constB154, 0)) | v90(constB155, 0)),
% 28.24/18.82 inference(unit_resolution,[status(thm)],[22355, 22283])).
% 28.24/18.82 tff(22357,plain,
% 28.24/18.82 (v90(constB155, 0)),
% 28.24/18.82 inference(unit_resolution,[status(thm)],[22356, 22348])).
% 28.24/18.82 tff(22358,plain,
% 28.24/18.82 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB155, 0)) | v90(constB155, 1) | (~v90(constB155, 2)) | v124(constB155))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB155, 0)) | v90(constB155, 1) | (~v90(constB155, 2)) | v124(constB155))),
% 28.24/18.82 inference(rewrite,[status(thm)],[])).
% 28.24/18.82 tff(22359,plain,
% 28.24/18.82 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB155, 0)) | v90(constB155, 1) | (~v90(constB155, 2)) | v124(constB155))),
% 28.24/18.82 inference(quant_inst,[status(thm)],[])).
% 28.24/18.82 tff(22360,plain,
% 28.24/18.82 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB155, 0)) | v90(constB155, 1) | (~v90(constB155, 2)) | v124(constB155)),
% 28.24/18.82 inference(modus_ponens,[status(thm)],[22359, 22358])).
% 28.24/18.82 tff(22361,plain,
% 28.24/18.82 (v124(constB155)),
% 28.24/18.82 inference(unit_resolution,[status(thm)],[22360, 1794, 22357, 22326, 22292])).
% 28.24/18.82 tff(22362,plain,
% 28.24/18.82 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB155) | (~v124(constB155)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB155) | (~v124(constB155)))),
% 28.24/18.82 inference(rewrite,[status(thm)],[])).
% 28.24/18.82 tff(22363,plain,
% 28.24/18.82 (((~v124(constB155)) | v114(constB155)) <=> (v114(constB155) | (~v124(constB155)))),
% 28.24/18.82 inference(rewrite,[status(thm)],[])).
% 28.24/18.82 tff(22364,plain,
% 28.24/18.82 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB155)) | v114(constB155))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB155) | (~v124(constB155))))),
% 28.24/18.82 inference(monotonicity,[status(thm)],[22363])).
% 28.24/18.82 tff(22365,plain,
% 28.24/18.82 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB155)) | v114(constB155))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB155) | (~v124(constB155)))),
% 28.24/18.82 inference(transitivity,[status(thm)],[22364, 22362])).
% 28.24/18.82 tff(22366,plain,
% 28.24/18.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB155)) | v114(constB155))),
% 28.24/18.82 inference(quant_inst,[status(thm)],[])).
% 28.24/18.82 tff(22367,plain,
% 28.24/18.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB155) | (~v124(constB155))),
% 28.24/18.82 inference(modus_ponens,[status(thm)],[22366, 22365])).
% 28.24/18.82 tff(22368,plain,
% 28.24/18.82 (v114(constB155)),
% 28.24/18.82 inference(unit_resolution,[status(thm)],[22367, 1805, 22361])).
% 28.24/18.82 tff(22369,plain,
% 28.24/18.82 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB155) | (~v114(constB155)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB155) | (~v114(constB155)))),
% 28.24/18.82 inference(rewrite,[status(thm)],[])).
% 28.24/18.82 tff(22370,plain,
% 28.24/18.82 (((~v114(constB155)) | v113(constB155)) <=> (v113(constB155) | (~v114(constB155)))),
% 28.24/18.82 inference(rewrite,[status(thm)],[])).
% 28.24/18.82 tff(22371,plain,
% 28.24/18.82 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB155)) | v113(constB155))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB155) | (~v114(constB155))))),
% 28.24/18.82 inference(monotonicity,[status(thm)],[22370])).
% 28.24/18.82 tff(22372,plain,
% 28.24/18.82 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB155)) | v113(constB155))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB155) | (~v114(constB155)))),
% 28.24/18.82 inference(transitivity,[status(thm)],[22371, 22369])).
% 28.24/18.82 tff(22373,plain,
% 28.24/18.82 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB155)) | v113(constB155))),
% 28.24/18.82 inference(quant_inst,[status(thm)],[])).
% 28.24/18.82 tff(22374,plain,
% 28.24/18.82 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB155) | (~v114(constB155))),
% 28.24/18.82 inference(modus_ponens,[status(thm)],[22373, 22372])).
% 28.24/18.82 tff(22375,plain,
% 28.24/18.82 (v113(constB155)),
% 28.24/18.82 inference(unit_resolution,[status(thm)],[22374, 314, 22368])).
% 28.24/18.82 tff(22376,assumption,(v26(constB155)), introduced(assumption)).
% 28.24/18.82 tff(22377,plain,
% 28.24/18.82 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB155))),
% 28.24/18.82 inference(quant_inst,[status(thm)],[])).
% 28.24/18.82 tff(22378,plain,
% 28.24/18.82 ($false),
% 28.24/18.82 inference(unit_resolution,[status(thm)],[22377, 95, 22376])).
% 28.24/18.82 tff(22379,plain,(~v26(constB155)), inference(lemma,lemma(discharge,[]))).
% 28.24/18.82 tff(22380,plain,
% 28.24/18.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | (~v113(constB155)) | v112(constB155))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB155) | (~v113(constB155)) | v112(constB155))),
% 28.24/18.82 inference(rewrite,[status(thm)],[])).
% 28.24/18.82 tff(22381,plain,
% 28.24/18.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | (~v113(constB155)) | v112(constB155))),
% 28.24/18.82 inference(quant_inst,[status(thm)],[])).
% 28.24/18.82 tff(22382,plain,
% 28.24/18.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB155) | (~v113(constB155)) | v112(constB155)),
% 28.24/18.82 inference(modus_ponens,[status(thm)],[22381, 22380])).
% 28.24/18.82 tff(22383,plain,
% 28.24/18.82 ((~v113(constB155)) | v112(constB155)),
% 28.24/18.82 inference(unit_resolution,[status(thm)],[22382, 328, 22379])).
% 28.24/18.82 tff(22384,plain,
% 28.24/18.82 (v112(constB155)),
% 28.24/18.82 inference(unit_resolution,[status(thm)],[22383, 22375])).
% 28.24/18.82 tff(22385,plain,
% 28.24/18.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB155) | (~v112(constB155)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB155) | (~v112(constB155)))),
% 28.24/18.82 inference(rewrite,[status(thm)],[])).
% 28.24/18.82 tff(22386,plain,
% 28.24/18.82 (((~v112(constB155)) | v108(constB155)) <=> (v108(constB155) | (~v112(constB155)))),
% 28.24/18.82 inference(rewrite,[status(thm)],[])).
% 28.24/18.82 tff(22387,plain,
% 28.24/18.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB155)) | v108(constB155))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB155) | (~v112(constB155))))),
% 28.24/18.82 inference(monotonicity,[status(thm)],[22386])).
% 28.24/18.82 tff(22388,plain,
% 28.24/18.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB155)) | v108(constB155))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB155) | (~v112(constB155)))),
% 28.24/18.82 inference(transitivity,[status(thm)],[22387, 22385])).
% 28.24/18.82 tff(22389,plain,
% 28.24/18.82 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB155)) | v108(constB155))),
% 28.24/18.82 inference(quant_inst,[status(thm)],[])).
% 28.24/18.82 tff(22390,plain,
% 28.24/18.82 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB155) | (~v112(constB155))),
% 28.24/18.82 inference(modus_ponens,[status(thm)],[22389, 22388])).
% 28.24/18.82 tff(22391,plain,
% 28.24/18.82 (v108(constB155)),
% 28.24/18.82 inference(unit_resolution,[status(thm)],[22390, 340, 22384])).
% 28.24/18.82 tff(22392,plain,
% 28.24/18.82 (nextState(constB155, constB156) <=> nextState(constB155, constB156)),
% 28.24/18.82 inference(rewrite,[status(thm)],[])).
% 28.24/18.82 tff(22393,axiom,(nextState(constB155, constB156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_155_1')).
% 28.24/18.82 tff(22394,plain,
% 28.24/18.82 (nextState(constB155, constB156)),
% 28.24/18.82 inference(modus_ponens,[status(thm)],[22393, 22392])).
% 28.24/18.82 tff(22395,plain,
% 28.24/18.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 28.24/18.82 inference(rewrite,[status(thm)],[])).
% 28.24/18.82 tff(22396,plain,
% 28.24/18.82 (((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156)) <=> ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 28.24/18.82 inference(rewrite,[status(thm)],[])).
% 28.24/18.82 tff(22397,plain,
% 28.24/18.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155))))),
% 28.24/18.82 inference(monotonicity,[status(thm)],[22396])).
% 28.24/18.82 tff(22398,plain,
% 28.24/18.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 28.24/18.82 inference(transitivity,[status(thm)],[22397, 22395])).
% 28.24/18.82 tff(22399,plain,
% 28.24/18.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))),
% 28.24/18.82 inference(quant_inst,[status(thm)],[])).
% 28.24/18.82 tff(22400,plain,
% 28.24/18.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155))),
% 28.24/18.82 inference(modus_ponens,[status(thm)],[22399, 22398])).
% 28.24/18.82 tff(22401,plain,
% 28.24/18.82 (v110(constB156) | (~v108(constB155))),
% 28.24/18.82 inference(unit_resolution,[status(thm)],[22400, 360, 22394])).
% 28.24/18.82 tff(22402,plain,
% 28.24/18.82 (v110(constB156)),
% 28.24/18.82 inference(unit_resolution,[status(thm)],[22401, 22391])).
% 28.24/18.82 tff(22403,plain,
% 28.24/18.82 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))),
% 28.24/18.82 inference(rewrite,[status(thm)],[])).
% 28.24/18.82 tff(22404,plain,
% 28.24/18.82 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))),
% 28.24/18.82 inference(quant_inst,[status(thm)],[])).
% 28.24/18.82 tff(22405,plain,
% 28.24/18.82 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156))),
% 28.24/18.82 inference(modus_ponens,[status(thm)],[22404, 22403])).
% 28.24/18.82 tff(22406,plain,
% 28.24/18.82 (~v104(constB156)),
% 28.24/18.82 inference(unit_resolution,[status(thm)],[22405, 378, 22394, 22268])).
% 28.24/18.82 tff(22407,plain,
% 28.24/18.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))),
% 28.24/18.82 inference(rewrite,[status(thm)],[])).
% 28.24/18.82 tff(22408,plain,
% 28.24/18.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))),
% 28.24/18.82 inference(quant_inst,[status(thm)],[])).
% 28.24/18.82 tff(22409,plain,
% 28.24/18.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB155, constB156)) | v102(constB156) | v104(constB156)),
% 28.24/18.82 inference(modus_ponens,[status(thm)],[22408, 22407])).
% 28.24/18.82 tff(22410,plain,
% 28.24/18.82 (v102(constB156) | v104(constB156)),
% 28.24/18.82 inference(unit_resolution,[status(thm)],[22409, 392, 22394])).
% 28.24/18.82 tff(22411,plain,
% 28.24/18.82 (v102(constB156)),
% 28.24/18.82 inference(unit_resolution,[status(thm)],[22410, 22406])).
% 28.24/18.82 tff(22412,plain,
% 28.24/18.82 (v1(constB156) <=> v1(constB156)),
% 28.24/18.82 inference(rewrite,[status(thm)],[])).
% 28.24/18.82 tff(22413,axiom,(v1(constB156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_156_1')).
% 28.24/18.82 tff(22414,plain,
% 28.24/18.82 (v1(constB156)),
% 28.24/18.82 inference(modus_ponens,[status(thm)],[22413, 22412])).
% 28.24/18.82 tff(22415,plain,
% 28.24/18.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))),
% 28.24/18.82 inference(rewrite,[status(thm)],[])).
% 28.24/18.82 tff(22416,plain,
% 28.24/18.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))),
% 28.24/18.82 inference(quant_inst,[status(thm)],[])).
% 28.24/18.82 tff(22417,plain,
% 28.24/18.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156))),
% 28.24/18.82 inference(modus_ponens,[status(thm)],[22416, 22415])).
% 28.24/18.82 tff(22418,plain,
% 28.24/18.82 (v101(constB156) | (~v102(constB156))),
% 28.24/18.82 inference(unit_resolution,[status(thm)],[22417, 410, 22394, 22414])).
% 28.24/18.82 tff(22419,plain,
% 28.24/18.82 (v101(constB156)),
% 28.24/18.82 inference(unit_resolution,[status(thm)],[22418, 22411])).
% 28.24/18.82 tff(22420,plain,
% 28.24/18.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 28.24/18.82 inference(rewrite,[status(thm)],[])).
% 28.24/18.82 tff(22421,plain,
% 28.24/18.82 (((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156)) <=> ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 28.24/18.82 inference(rewrite,[status(thm)],[])).
% 28.24/18.82 tff(22422,plain,
% 28.24/18.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156))))),
% 28.24/18.82 inference(monotonicity,[status(thm)],[22421])).
% 28.24/18.82 tff(22423,plain,
% 28.24/18.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 28.24/18.82 inference(transitivity,[status(thm)],[22422, 22420])).
% 28.24/18.82 tff(22424,plain,
% 28.24/18.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))),
% 28.24/18.82 inference(quant_inst,[status(thm)],[])).
% 28.24/18.82 tff(22425,plain,
% 28.24/18.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156))),
% 28.24/18.82 inference(modus_ponens,[status(thm)],[22424, 22423])).
% 28.24/18.82 tff(22426,plain,
% 28.24/18.82 (v100(constB156) | (~v101(constB156)) | (~v110(constB156))),
% 28.24/18.82 inference(unit_resolution,[status(thm)],[22425, 425, 22394])).
% 28.24/18.82 tff(22427,plain,
% 28.24/18.82 (v100(constB156) | (~v110(constB156))),
% 28.24/18.82 inference(unit_resolution,[status(thm)],[22426, 22419])).
% 28.24/18.82 tff(22428,plain,
% 28.24/18.82 (v100(constB156)),
% 28.24/18.82 inference(unit_resolution,[status(thm)],[22427, 22402])).
% 28.24/18.82 tff(22429,plain,
% 28.24/18.82 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB155)) | v130(constB155, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB155)) | v130(constB155, 2))),
% 28.24/18.82 inference(rewrite,[status(thm)],[])).
% 28.24/18.82 tff(22430,plain,
% 28.24/18.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB155)) | v130(constB155, 2))),
% 28.24/18.82 inference(quant_inst,[status(thm)],[])).
% 28.24/18.82 tff(22431,plain,
% 28.24/18.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB155)) | v130(constB155, 2)),
% 28.24/18.82 inference(modus_ponens,[status(thm)],[22430, 22429])).
% 28.24/18.82 tff(22432,plain,
% 28.24/18.82 (v130(constB155, 2)),
% 28.24/18.82 inference(unit_resolution,[status(thm)],[22431, 1873, 22361])).
% 28.31/18.82 tff(22433,plain,
% 28.31/18.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB155) | (~v130(constB155, 2)) | v127(constB155, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB155) | (~v130(constB155, 2)) | v127(constB155, 2))),
% 28.31/18.82 inference(rewrite,[status(thm)],[])).
% 28.31/18.82 tff(22434,plain,
% 28.31/18.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB155) | (~v130(constB155, 2)) | v127(constB155, 2))),
% 28.31/18.82 inference(quant_inst,[status(thm)],[])).
% 28.31/18.82 tff(22435,plain,
% 28.31/18.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB155) | (~v130(constB155, 2)) | v127(constB155, 2)),
% 28.31/18.82 inference(modus_ponens,[status(thm)],[22434, 22433])).
% 28.31/18.82 tff(22436,plain,
% 28.31/18.82 ((~v130(constB155, 2)) | v127(constB155, 2)),
% 28.31/18.82 inference(unit_resolution,[status(thm)],[22435, 1498, 22379])).
% 28.31/18.82 tff(22437,plain,
% 28.31/18.82 (v127(constB155, 2)),
% 28.31/18.82 inference(unit_resolution,[status(thm)],[22436, 22432])).
% 28.31/18.82 tff(22438,plain,
% 28.31/18.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB155, constB156)) | (~v127(constB155, 2)) | v129(constB156, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB155, constB156)) | (~v127(constB155, 2)) | v129(constB156, 2))),
% 28.31/18.82 inference(rewrite,[status(thm)],[])).
% 28.31/18.82 tff(22439,plain,
% 28.31/18.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB155, constB156)) | (~v127(constB155, 2)) | v129(constB156, 2))),
% 28.31/18.82 inference(quant_inst,[status(thm)],[])).
% 28.31/18.82 tff(22440,plain,
% 28.31/18.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB155, constB156)) | (~v127(constB155, 2)) | v129(constB156, 2)),
% 28.31/18.82 inference(modus_ponens,[status(thm)],[22439, 22438])).
% 28.31/18.82 tff(22441,plain,
% 28.31/18.82 ((~v127(constB155, 2)) | v129(constB156, 2)),
% 28.31/18.82 inference(unit_resolution,[status(thm)],[22440, 1513, 22394])).
% 28.31/18.82 tff(22442,plain,
% 28.31/18.82 (v129(constB156, 2)),
% 28.31/18.82 inference(unit_resolution,[status(thm)],[22441, 22437])).
% 28.31/18.82 tff(22443,plain,
% 28.31/18.82 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB156, 2) | (~v129(constB156, 2)) | (~v100(constB156)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB156, 2) | (~v129(constB156, 2)) | (~v100(constB156)))),
% 28.31/18.82 inference(rewrite,[status(thm)],[])).
% 28.31/18.82 tff(22444,plain,
% 28.31/18.82 ((v90(constB156, 2) | (~v100(constB156)) | (~v129(constB156, 2))) <=> (v90(constB156, 2) | (~v129(constB156, 2)) | (~v100(constB156)))),
% 28.31/18.82 inference(rewrite,[status(thm)],[])).
% 28.31/18.82 tff(22445,plain,
% 28.31/18.82 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB156, 2) | (~v100(constB156)) | (~v129(constB156, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB156, 2) | (~v129(constB156, 2)) | (~v100(constB156))))),
% 28.31/18.82 inference(monotonicity,[status(thm)],[22444])).
% 28.31/18.82 tff(22446,plain,
% 28.31/18.82 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB156, 2) | (~v100(constB156)) | (~v129(constB156, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB156, 2) | (~v129(constB156, 2)) | (~v100(constB156)))),
% 28.31/18.82 inference(transitivity,[status(thm)],[22445, 22443])).
% 28.31/18.82 tff(22447,plain,
% 28.31/18.82 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB156, 2) | (~v100(constB156)) | (~v129(constB156, 2)))),
% 28.31/18.82 inference(quant_inst,[status(thm)],[])).
% 28.31/18.82 tff(22448,plain,
% 28.31/18.82 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB156, 2) | (~v129(constB156, 2)) | (~v100(constB156))),
% 28.31/18.82 inference(modus_ponens,[status(thm)],[22447, 22446])).
% 28.31/18.82 tff(22449,plain,
% 28.31/18.82 (v90(constB156, 2) | (~v100(constB156))),
% 28.31/18.82 inference(unit_resolution,[status(thm)],[22448, 1528, 22442])).
% 28.31/18.82 tff(22450,plain,
% 28.31/18.82 (v90(constB156, 2)),
% 28.31/18.82 inference(unit_resolution,[status(thm)],[22449, 22428])).
% 28.31/18.82 tff(22451,plain,
% 28.31/18.82 ((~v1(constB157)) <=> (~v1(constB157))),
% 28.31/18.82 inference(rewrite,[status(thm)],[])).
% 28.31/18.82 tff(22452,axiom,(~v1(constB157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_157_1_1')).
% 28.31/18.82 tff(22453,plain,
% 28.31/18.82 (~v1(constB157)),
% 28.31/18.82 inference(modus_ponens,[status(thm)],[22452, 22451])).
% 28.31/18.82 tff(22454,plain,
% 28.31/18.82 (nextState(constB156, constB157) <=> nextState(constB156, constB157)),
% 28.31/18.82 inference(rewrite,[status(thm)],[])).
% 28.31/18.82 tff(22455,axiom,(nextState(constB156, constB157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_156_1')).
% 28.31/18.82 tff(22456,plain,
% 28.31/18.82 (nextState(constB156, constB157)),
% 28.31/18.82 inference(modus_ponens,[status(thm)],[22455, 22454])).
% 28.31/18.82 tff(22457,plain,
% 28.31/18.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 28.31/18.82 inference(rewrite,[status(thm)],[])).
% 28.31/18.82 tff(22458,plain,
% 28.31/18.82 (((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157)) <=> (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 28.31/18.82 inference(rewrite,[status(thm)],[])).
% 28.31/18.82 tff(22459,plain,
% 28.31/18.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157))))),
% 28.31/18.82 inference(monotonicity,[status(thm)],[22458])).
% 28.31/18.82 tff(22460,plain,
% 28.31/18.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 28.31/18.82 inference(transitivity,[status(thm)],[22459, 22457])).
% 28.31/18.82 tff(22461,plain,
% 28.31/18.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))),
% 28.31/18.82 inference(quant_inst,[status(thm)],[])).
% 28.31/18.82 tff(22462,plain,
% 28.31/18.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157))),
% 28.31/18.82 inference(modus_ponens,[status(thm)],[22461, 22460])).
% 28.31/18.82 tff(22463,plain,
% 28.31/18.82 (~v101(constB157)),
% 28.31/18.82 inference(unit_resolution,[status(thm)],[22462, 138, 22456, 22453])).
% 28.31/18.82 tff(22464,plain,
% 28.31/18.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))),
% 28.31/18.82 inference(rewrite,[status(thm)],[])).
% 28.31/18.82 tff(22465,plain,
% 28.31/18.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))),
% 28.31/18.82 inference(quant_inst,[status(thm)],[])).
% 28.31/18.82 tff(22466,plain,
% 28.31/18.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157))),
% 28.31/18.82 inference(modus_ponens,[status(thm)],[22465, 22464])).
% 28.31/18.82 tff(22467,plain,
% 28.31/18.82 (v101(constB157) | (~v100(constB157))),
% 28.31/18.82 inference(unit_resolution,[status(thm)],[22466, 155, 22456])).
% 28.31/18.82 tff(22468,plain,
% 28.31/18.82 (~v100(constB157)),
% 28.31/18.82 inference(unit_resolution,[status(thm)],[22467, 22463])).
% 28.31/18.82 tff(22469,plain,
% 28.31/18.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB156, 2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB156, 2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 2))),
% 28.31/18.82 inference(rewrite,[status(thm)],[])).
% 28.31/18.82 tff(22470,plain,
% 28.31/18.82 (((~nextState(constB156, constB157)) | (~v90(constB156, 2)) | v100(constB157) | v90(constB157, 2)) <=> ((~v90(constB156, 2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 2))),
% 28.31/18.82 inference(rewrite,[status(thm)],[])).
% 28.31/18.82 tff(22471,plain,
% 28.31/18.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, 2)) | v100(constB157) | v90(constB157, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB156, 2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 2)))),
% 28.31/18.82 inference(monotonicity,[status(thm)],[22470])).
% 28.31/18.82 tff(22472,plain,
% 28.31/18.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, 2)) | v100(constB157) | v90(constB157, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB156, 2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 2))),
% 28.31/18.82 inference(transitivity,[status(thm)],[22471, 22469])).
% 28.31/18.82 tff(22473,plain,
% 28.31/18.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, 2)) | v100(constB157) | v90(constB157, 2))),
% 28.31/18.82 inference(quant_inst,[status(thm)],[])).
% 28.31/18.82 tff(22474,plain,
% 28.31/18.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB156, 2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 2)),
% 28.31/18.82 inference(modus_ponens,[status(thm)],[22473, 22472])).
% 28.31/18.82 tff(22475,plain,
% 28.31/18.82 ((~v90(constB156, 2)) | v100(constB157) | v90(constB157, 2)),
% 28.31/18.82 inference(unit_resolution,[status(thm)],[22474, 1546, 22456])).
% 28.31/18.82 tff(22476,plain,
% 28.31/18.82 ((~v90(constB156, 2)) | v90(constB157, 2)),
% 28.31/18.82 inference(unit_resolution,[status(thm)],[22475, 22468])).
% 28.31/18.82 tff(22477,plain,
% 28.31/18.82 (v90(constB157, 2)),
% 28.31/18.82 inference(unit_resolution,[status(thm)],[22476, 22450])).
% 28.31/18.82 tff(22478,plain,
% 28.31/18.82 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB155)) | v130(constB155, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB155)) | v130(constB155, 1))),
% 28.31/18.82 inference(rewrite,[status(thm)],[])).
% 28.31/18.82 tff(22479,plain,
% 28.31/18.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB155)) | v130(constB155, 1))),
% 28.31/18.82 inference(quant_inst,[status(thm)],[])).
% 28.31/18.82 tff(22480,plain,
% 28.31/18.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB155)) | v130(constB155, 1)),
% 28.31/18.82 inference(modus_ponens,[status(thm)],[22479, 22478])).
% 28.31/18.82 tff(22481,plain,
% 28.31/18.82 (v130(constB155, 1)),
% 28.31/18.82 inference(unit_resolution,[status(thm)],[22480, 1929, 22361])).
% 28.31/18.82 tff(22482,plain,
% 28.31/18.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB155) | (~v130(constB155, 1)) | v127(constB155, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB155) | (~v130(constB155, 1)) | v127(constB155, 1))),
% 28.31/18.82 inference(rewrite,[status(thm)],[])).
% 28.31/18.82 tff(22483,plain,
% 28.31/18.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB155) | (~v130(constB155, 1)) | v127(constB155, 1))),
% 28.31/18.82 inference(quant_inst,[status(thm)],[])).
% 28.31/18.82 tff(22484,plain,
% 28.31/18.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB155) | (~v130(constB155, 1)) | v127(constB155, 1)),
% 28.31/18.82 inference(modus_ponens,[status(thm)],[22483, 22482])).
% 28.31/18.82 tff(22485,plain,
% 28.31/18.82 ((~v130(constB155, 1)) | v127(constB155, 1)),
% 28.31/18.82 inference(unit_resolution,[status(thm)],[22484, 855, 22379])).
% 28.31/18.82 tff(22486,plain,
% 28.31/18.82 (v127(constB155, 1)),
% 28.31/18.82 inference(unit_resolution,[status(thm)],[22485, 22481])).
% 28.31/18.82 tff(22487,plain,
% 28.31/18.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB155, constB156)) | (~v127(constB155, 1)) | v129(constB156, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB155, constB156)) | (~v127(constB155, 1)) | v129(constB156, 1))),
% 28.31/18.82 inference(rewrite,[status(thm)],[])).
% 28.31/18.82 tff(22488,plain,
% 28.31/18.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB155, constB156)) | (~v127(constB155, 1)) | v129(constB156, 1))),
% 28.31/18.82 inference(quant_inst,[status(thm)],[])).
% 28.31/18.82 tff(22489,plain,
% 28.31/18.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB155, constB156)) | (~v127(constB155, 1)) | v129(constB156, 1)),
% 28.31/18.82 inference(modus_ponens,[status(thm)],[22488, 22487])).
% 28.31/18.82 tff(22490,plain,
% 28.31/18.82 ((~v127(constB155, 1)) | v129(constB156, 1)),
% 28.31/18.82 inference(unit_resolution,[status(thm)],[22489, 870, 22394])).
% 28.31/18.82 tff(22491,plain,
% 28.31/18.82 (v129(constB156, 1)),
% 28.31/18.82 inference(unit_resolution,[status(thm)],[22490, 22486])).
% 28.31/18.82 tff(22492,plain,
% 28.31/18.82 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB156, 1) | (~v129(constB156, 1)) | (~v100(constB156)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB156, 1) | (~v129(constB156, 1)) | (~v100(constB156)))),
% 28.31/18.82 inference(rewrite,[status(thm)],[])).
% 28.31/18.82 tff(22493,plain,
% 28.31/18.82 ((v90(constB156, 1) | (~v100(constB156)) | (~v129(constB156, 1))) <=> (v90(constB156, 1) | (~v129(constB156, 1)) | (~v100(constB156)))),
% 28.31/18.82 inference(rewrite,[status(thm)],[])).
% 28.31/18.82 tff(22494,plain,
% 28.31/18.82 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB156, 1) | (~v100(constB156)) | (~v129(constB156, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB156, 1) | (~v129(constB156, 1)) | (~v100(constB156))))),
% 28.31/18.82 inference(monotonicity,[status(thm)],[22493])).
% 28.31/18.82 tff(22495,plain,
% 28.31/18.82 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB156, 1) | (~v100(constB156)) | (~v129(constB156, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB156, 1) | (~v129(constB156, 1)) | (~v100(constB156)))),
% 28.31/18.82 inference(transitivity,[status(thm)],[22494, 22492])).
% 28.31/18.82 tff(22496,plain,
% 28.31/18.82 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB156, 1) | (~v100(constB156)) | (~v129(constB156, 1)))),
% 28.31/18.82 inference(quant_inst,[status(thm)],[])).
% 28.31/18.82 tff(22497,plain,
% 28.31/18.82 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB156, 1) | (~v129(constB156, 1)) | (~v100(constB156))),
% 28.31/18.82 inference(modus_ponens,[status(thm)],[22496, 22495])).
% 28.31/18.82 tff(22498,plain,
% 28.31/18.82 (v90(constB156, 1) | (~v100(constB156))),
% 28.31/18.82 inference(unit_resolution,[status(thm)],[22497, 885, 22491])).
% 28.31/18.82 tff(22499,plain,
% 28.31/18.82 (v90(constB156, 1)),
% 28.31/18.82 inference(unit_resolution,[status(thm)],[22498, 22428])).
% 28.31/18.82 tff(22500,plain,
% 28.31/18.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB156, 1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB156, 1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 1))),
% 28.31/18.82 inference(rewrite,[status(thm)],[])).
% 28.31/18.82 tff(22501,plain,
% 28.31/18.82 (((~nextState(constB156, constB157)) | (~v90(constB156, 1)) | v100(constB157) | v90(constB157, 1)) <=> ((~v90(constB156, 1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 1))),
% 28.31/18.82 inference(rewrite,[status(thm)],[])).
% 28.31/18.82 tff(22502,plain,
% 28.31/18.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, 1)) | v100(constB157) | v90(constB157, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB156, 1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 1)))),
% 28.31/18.82 inference(monotonicity,[status(thm)],[22501])).
% 28.31/18.82 tff(22503,plain,
% 28.31/18.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, 1)) | v100(constB157) | v90(constB157, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB156, 1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 1))),
% 28.31/18.82 inference(transitivity,[status(thm)],[22502, 22500])).
% 28.31/18.82 tff(22504,plain,
% 28.31/18.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, 1)) | v100(constB157) | v90(constB157, 1))),
% 28.31/18.82 inference(quant_inst,[status(thm)],[])).
% 28.31/18.82 tff(22505,plain,
% 28.31/18.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB156, 1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 1)),
% 28.31/18.82 inference(modus_ponens,[status(thm)],[22504, 22503])).
% 28.31/18.82 tff(22506,plain,
% 28.31/18.82 ((~v90(constB156, 1)) | v100(constB157) | v90(constB157, 1)),
% 28.31/18.82 inference(unit_resolution,[status(thm)],[22505, 903, 22456])).
% 28.31/18.82 tff(22507,plain,
% 28.31/18.82 ((~v90(constB156, 1)) | v90(constB157, 1)),
% 28.31/18.82 inference(unit_resolution,[status(thm)],[22506, 22468])).
% 28.31/18.82 tff(22508,plain,
% 28.31/18.82 (v90(constB157, 1)),
% 28.31/18.82 inference(unit_resolution,[status(thm)],[22507, 22499])).
% 28.31/18.82 tff(22509,plain,
% 28.31/18.82 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB155)) | (~v130(constB155, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB155)) | (~v130(constB155, 0)))),
% 28.31/18.82 inference(rewrite,[status(thm)],[])).
% 28.31/18.82 tff(22510,plain,
% 28.31/18.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB155)) | (~v130(constB155, 0)))),
% 28.31/18.82 inference(quant_inst,[status(thm)],[])).
% 28.31/18.82 tff(22511,plain,
% 28.31/18.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB155)) | (~v130(constB155, 0))),
% 28.31/18.82 inference(modus_ponens,[status(thm)],[22510, 22509])).
% 28.31/18.82 tff(22512,plain,
% 28.31/18.82 (~v130(constB155, 0)),
% 28.31/18.82 inference(unit_resolution,[status(thm)],[22511, 1967, 22361])).
% 28.31/18.82 tff(22513,plain,
% 28.31/18.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB155, 0)) | v26(constB155) | v130(constB155, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB155, 0)) | v26(constB155) | v130(constB155, 0))),
% 28.31/18.82 inference(rewrite,[status(thm)],[])).
% 28.31/18.82 tff(22514,plain,
% 28.31/18.82 ((v26(constB155) | v130(constB155, 0) | (~v127(constB155, 0))) <=> ((~v127(constB155, 0)) | v26(constB155) | v130(constB155, 0))),
% 28.31/18.82 inference(rewrite,[status(thm)],[])).
% 28.31/18.82 tff(22515,plain,
% 28.31/18.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB155) | v130(constB155, 0) | (~v127(constB155, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB155, 0)) | v26(constB155) | v130(constB155, 0)))),
% 28.31/18.82 inference(monotonicity,[status(thm)],[22514])).
% 28.31/18.82 tff(22516,plain,
% 28.31/18.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB155) | v130(constB155, 0) | (~v127(constB155, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB155, 0)) | v26(constB155) | v130(constB155, 0))),
% 28.31/18.82 inference(transitivity,[status(thm)],[22515, 22513])).
% 28.31/18.82 tff(22517,plain,
% 28.31/18.82 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB155) | v130(constB155, 0) | (~v127(constB155, 0)))),
% 28.31/18.82 inference(quant_inst,[status(thm)],[])).
% 28.31/18.82 tff(22518,plain,
% 28.31/18.82 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB155, 0)) | v26(constB155) | v130(constB155, 0)),
% 28.31/18.82 inference(modus_ponens,[status(thm)],[22517, 22516])).
% 28.31/18.82 tff(22519,plain,
% 28.31/18.82 ((~v127(constB155, 0)) | v130(constB155, 0)),
% 28.31/18.82 inference(unit_resolution,[status(thm)],[22518, 933, 22379])).
% 28.31/18.82 tff(22520,plain,
% 28.31/18.82 (~v127(constB155, 0)),
% 28.31/18.82 inference(unit_resolution,[status(thm)],[22519, 22512])).
% 28.31/18.82 tff(22521,plain,
% 28.31/18.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB155, constB156)) | v127(constB155, 0) | (~v129(constB156, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB155, constB156)) | v127(constB155, 0) | (~v129(constB156, 0)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22522,plain,
% 28.31/18.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB155, constB156)) | v127(constB155, 0) | (~v129(constB156, 0)))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22523,plain,
% 28.31/18.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB155, constB156)) | v127(constB155, 0) | (~v129(constB156, 0))),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22522, 22521])).
% 28.31/18.83 tff(22524,plain,
% 28.31/18.83 (v127(constB155, 0) | (~v129(constB156, 0))),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22523, 951, 22394])).
% 28.31/18.83 tff(22525,plain,
% 28.31/18.83 (~v129(constB156, 0)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22524, 22520])).
% 28.31/18.83 tff(22526,plain,
% 28.31/18.83 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB156, 0)) | v129(constB156, 0) | (~v100(constB156)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB156, 0)) | v129(constB156, 0) | (~v100(constB156)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22527,plain,
% 28.31/18.83 (((~v90(constB156, 0)) | (~v100(constB156)) | v129(constB156, 0)) <=> ((~v90(constB156, 0)) | v129(constB156, 0) | (~v100(constB156)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22528,plain,
% 28.31/18.83 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB156, 0)) | (~v100(constB156)) | v129(constB156, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB156, 0)) | v129(constB156, 0) | (~v100(constB156))))),
% 28.31/18.83 inference(monotonicity,[status(thm)],[22527])).
% 28.31/18.83 tff(22529,plain,
% 28.31/18.83 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB156, 0)) | (~v100(constB156)) | v129(constB156, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB156, 0)) | v129(constB156, 0) | (~v100(constB156)))),
% 28.31/18.83 inference(transitivity,[status(thm)],[22528, 22526])).
% 28.31/18.83 tff(22530,plain,
% 28.31/18.83 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB156, 0)) | (~v100(constB156)) | v129(constB156, 0))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22531,plain,
% 28.31/18.83 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB156, 0)) | v129(constB156, 0) | (~v100(constB156))),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22530, 22529])).
% 28.31/18.83 tff(22532,plain,
% 28.31/18.83 ((~v90(constB156, 0)) | (~v100(constB156))),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22531, 966, 22525])).
% 28.31/18.83 tff(22533,plain,
% 28.31/18.83 (~v90(constB156, 0)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22532, 22428])).
% 28.31/18.83 tff(22534,plain,
% 28.31/18.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB156, 0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB156, 0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 0)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22535,plain,
% 28.31/18.83 (((~nextState(constB156, constB157)) | v90(constB156, 0) | v100(constB157) | (~v90(constB157, 0))) <=> (v90(constB156, 0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 0)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22536,plain,
% 28.31/18.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB156, constB157)) | v90(constB156, 0) | v100(constB157) | (~v90(constB157, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB156, 0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 0))))),
% 28.31/18.83 inference(monotonicity,[status(thm)],[22535])).
% 28.31/18.83 tff(22537,plain,
% 28.31/18.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB156, constB157)) | v90(constB156, 0) | v100(constB157) | (~v90(constB157, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB156, 0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 0)))),
% 28.31/18.83 inference(transitivity,[status(thm)],[22536, 22534])).
% 28.31/18.83 tff(22538,plain,
% 28.31/18.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB156, constB157)) | v90(constB156, 0) | v100(constB157) | (~v90(constB157, 0)))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22539,plain,
% 28.31/18.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB156, 0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 0))),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22538, 22537])).
% 28.31/18.83 tff(22540,plain,
% 28.31/18.83 (v90(constB156, 0) | v100(constB157) | (~v90(constB157, 0))),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22539, 212, 22456])).
% 28.31/18.83 tff(22541,plain,
% 28.31/18.83 (v90(constB156, 0) | (~v90(constB157, 0))),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22540, 22468])).
% 28.31/18.83 tff(22542,plain,
% 28.31/18.83 (~v90(constB157, 0)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22541, 22533])).
% 28.31/18.83 tff(22543,plain,
% 28.31/18.83 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB157, 0) | (~v90(constB157, 1)) | (~v90(constB157, 2)) | v125(constB157))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB157, 0) | (~v90(constB157, 1)) | (~v90(constB157, 2)) | v125(constB157))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22544,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB157, 0) | (~v90(constB157, 1)) | (~v90(constB157, 2)) | v125(constB157))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22545,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB157, 0) | (~v90(constB157, 1)) | (~v90(constB157, 2)) | v125(constB157)),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22544, 22543])).
% 28.31/18.83 tff(22546,plain,
% 28.31/18.83 (v125(constB157)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22545, 2011, 22542, 22508, 22477])).
% 28.31/18.83 tff(22547,plain,
% 28.31/18.83 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB157) | (~v125(constB157)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB157) | (~v125(constB157)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22548,plain,
% 28.31/18.83 (((~v125(constB157)) | v113(constB157)) <=> (v113(constB157) | (~v125(constB157)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22549,plain,
% 28.31/18.83 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB157)) | v113(constB157))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB157) | (~v125(constB157))))),
% 28.31/18.83 inference(monotonicity,[status(thm)],[22548])).
% 28.31/18.83 tff(22550,plain,
% 28.31/18.83 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB157)) | v113(constB157))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB157) | (~v125(constB157)))),
% 28.31/18.83 inference(transitivity,[status(thm)],[22549, 22547])).
% 28.31/18.83 tff(22551,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB157)) | v113(constB157))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22552,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB157) | (~v125(constB157))),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22551, 22550])).
% 28.31/18.83 tff(22553,plain,
% 28.31/18.83 (v113(constB157)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22552, 2022, 22546])).
% 28.31/18.83 tff(22554,assumption,(v26(constB157)), introduced(assumption)).
% 28.31/18.83 tff(22555,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB157))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22556,plain,
% 28.31/18.83 ($false),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22555, 95, 22554])).
% 28.31/18.83 tff(22557,plain,(~v26(constB157)), inference(lemma,lemma(discharge,[]))).
% 28.31/18.83 tff(22558,plain,
% 28.31/18.83 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | v112(constB157) | (~v113(constB157)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22559,plain,
% 28.31/18.83 ((v26(constB157) | (~v113(constB157)) | v112(constB157)) <=> (v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22560,plain,
% 28.31/18.83 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | v112(constB157) | (~v113(constB157))))),
% 28.31/18.83 inference(monotonicity,[status(thm)],[22559])).
% 28.31/18.83 tff(22561,plain,
% 28.31/18.83 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 28.31/18.83 inference(transitivity,[status(thm)],[22560, 22558])).
% 28.31/18.83 tff(22562,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22563,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157))),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22562, 22561])).
% 28.31/18.83 tff(22564,plain,
% 28.31/18.83 (v112(constB157) | (~v113(constB157))),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22563, 328, 22557])).
% 28.31/18.83 tff(22565,plain,
% 28.31/18.83 (v112(constB157)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22564, 22553])).
% 28.31/18.83 tff(22566,plain,
% 28.31/18.83 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB157) | (~v112(constB157)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v112(constB157)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22567,plain,
% 28.31/18.83 (((~v112(constB157)) | v108(constB157)) <=> (v108(constB157) | (~v112(constB157)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22568,plain,
% 28.31/18.83 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB157)) | v108(constB157))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB157) | (~v112(constB157))))),
% 28.31/18.83 inference(monotonicity,[status(thm)],[22567])).
% 28.31/18.83 tff(22569,plain,
% 28.31/18.83 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB157)) | v108(constB157))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v112(constB157)))),
% 28.31/18.83 inference(transitivity,[status(thm)],[22568, 22566])).
% 28.31/18.83 tff(22570,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB157)) | v108(constB157))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22571,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v112(constB157))),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22570, 22569])).
% 28.31/18.83 tff(22572,plain,
% 28.31/18.83 (v108(constB157)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22571, 340, 22565])).
% 28.31/18.83 tff(22573,plain,
% 28.31/18.83 (nextState(constB157, constB158) <=> nextState(constB157, constB158)),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22574,axiom,(nextState(constB157, constB158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_157_1')).
% 28.31/18.83 tff(22575,plain,
% 28.31/18.83 (nextState(constB157, constB158)),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22574, 22573])).
% 28.31/18.83 tff(22576,plain,
% 28.31/18.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22577,plain,
% 28.31/18.83 (((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158)) <=> ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22578,plain,
% 28.31/18.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157))))),
% 28.31/18.83 inference(monotonicity,[status(thm)],[22577])).
% 28.31/18.83 tff(22579,plain,
% 28.31/18.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 28.31/18.83 inference(transitivity,[status(thm)],[22578, 22576])).
% 28.31/18.83 tff(22580,plain,
% 28.31/18.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22581,plain,
% 28.31/18.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157))),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22580, 22579])).
% 28.31/18.83 tff(22582,plain,
% 28.31/18.83 (v110(constB158) | (~v108(constB157))),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22581, 360, 22575])).
% 28.31/18.83 tff(22583,plain,
% 28.31/18.83 (v110(constB158)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22582, 22572])).
% 28.31/18.83 tff(22584,plain,
% 28.31/18.83 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22585,plain,
% 28.31/18.83 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22586,plain,
% 28.31/18.83 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158))),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22585, 22584])).
% 28.31/18.83 tff(22587,plain,
% 28.31/18.83 (~v104(constB158)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22586, 378, 22575, 22453])).
% 28.31/18.83 tff(22588,plain,
% 28.31/18.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22589,plain,
% 28.31/18.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22590,plain,
% 28.31/18.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB157, constB158)) | v102(constB158) | v104(constB158)),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22589, 22588])).
% 28.31/18.83 tff(22591,plain,
% 28.31/18.83 (v102(constB158) | v104(constB158)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22590, 392, 22575])).
% 28.31/18.83 tff(22592,plain,
% 28.31/18.83 (v102(constB158)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22591, 22587])).
% 28.31/18.83 tff(22593,plain,
% 28.31/18.83 (v1(constB158) <=> v1(constB158)),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22594,axiom,(v1(constB158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_158_1')).
% 28.31/18.83 tff(22595,plain,
% 28.31/18.83 (v1(constB158)),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22594, 22593])).
% 28.31/18.83 tff(22596,plain,
% 28.31/18.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22597,plain,
% 28.31/18.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22598,plain,
% 28.31/18.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158))),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22597, 22596])).
% 28.31/18.83 tff(22599,plain,
% 28.31/18.83 (v101(constB158) | (~v102(constB158))),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22598, 410, 22575, 22595])).
% 28.31/18.83 tff(22600,plain,
% 28.31/18.83 (v101(constB158)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22599, 22592])).
% 28.31/18.83 tff(22601,plain,
% 28.31/18.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22602,plain,
% 28.31/18.83 (((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158)) <=> ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22603,plain,
% 28.31/18.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158))))),
% 28.31/18.83 inference(monotonicity,[status(thm)],[22602])).
% 28.31/18.83 tff(22604,plain,
% 28.31/18.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 28.31/18.83 inference(transitivity,[status(thm)],[22603, 22601])).
% 28.31/18.83 tff(22605,plain,
% 28.31/18.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22606,plain,
% 28.31/18.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158))),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22605, 22604])).
% 28.31/18.83 tff(22607,plain,
% 28.31/18.83 (v100(constB158) | (~v101(constB158)) | (~v110(constB158))),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22606, 425, 22575])).
% 28.31/18.83 tff(22608,plain,
% 28.31/18.83 (v100(constB158) | (~v110(constB158))),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22607, 22600])).
% 28.31/18.83 tff(22609,plain,
% 28.31/18.83 (v100(constB158)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22608, 22583])).
% 28.31/18.83 tff(22610,plain,
% 28.31/18.83 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB157)) | (~v90(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB157)) | (~v90(constB157, 1)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22611,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB157)) | (~v90(constB157, 1)))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22612,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB157)) | (~v90(constB157, 1))),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22611, 22610])).
% 28.31/18.83 tff(22613,plain,
% 28.31/18.83 (~v119(constB157)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22612, 2086, 22508])).
% 28.31/18.83 tff(22614,plain,
% 28.31/18.83 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB157)) | (~v90(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB157)) | (~v90(constB157, 1)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22615,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB157)) | (~v90(constB157, 1)))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22616,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB157)) | (~v90(constB157, 1))),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22615, 22614])).
% 28.31/18.83 tff(22617,plain,
% 28.31/18.83 (~v123(constB157)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22616, 2108, 22508])).
% 28.31/18.83 tff(22618,plain,
% 28.31/18.83 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB157)) | (~v90(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB157)) | (~v90(constB157, 1)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22619,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB157)) | (~v90(constB157, 1)))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22620,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB157)) | (~v90(constB157, 1))),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22619, 22618])).
% 28.31/18.83 tff(22621,plain,
% 28.31/18.83 (~v124(constB157)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22620, 2097, 22508])).
% 28.31/18.83 tff(22622,plain,
% 28.31/18.83 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB157)) | (~v90(constB157, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB157)) | (~v90(constB157, 2)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22623,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB157)) | (~v90(constB157, 2)))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22624,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB157)) | (~v90(constB157, 2))),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22623, 22622])).
% 28.31/18.83 tff(22625,plain,
% 28.31/18.83 (~v122(constB157)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22624, 2119, 22477])).
% 28.31/18.83 tff(22626,plain,
% 28.31/18.83 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB157)) | (~v90(constB157, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB157)) | (~v90(constB157, 2)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22627,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB157)) | (~v90(constB157, 2)))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22628,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB157)) | (~v90(constB157, 2))),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22627, 22626])).
% 28.31/18.83 tff(22629,plain,
% 28.31/18.83 (~v121(constB157)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22628, 2130, 22477])).
% 28.31/18.83 tff(22630,plain,
% 28.31/18.83 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB157)) | (~v90(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB157)) | (~v90(constB157, 1)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22631,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB157)) | (~v90(constB157, 1)))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22632,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB157)) | (~v90(constB157, 1))),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22631, 22630])).
% 28.31/18.83 tff(22633,plain,
% 28.31/18.83 (~v120(constB157)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22632, 2141, 22508])).
% 28.31/18.83 tff(22634,plain,
% 28.31/18.83 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 2)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22635,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 2)))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22636,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 2))),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22635, 22634])).
% 28.31/18.83 tff(22637,plain,
% 28.31/18.83 (~v130(constB157, 2)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22636, 2155, 22633, 22629, 22625, 22621, 22617, 22613])).
% 28.31/18.83 tff(22638,plain,
% 28.31/18.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB157, 2)) | v26(constB157) | v130(constB157, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB157, 2)) | v26(constB157) | v130(constB157, 2))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22639,plain,
% 28.31/18.83 ((v26(constB157) | v130(constB157, 2) | (~v127(constB157, 2))) <=> ((~v127(constB157, 2)) | v26(constB157) | v130(constB157, 2))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22640,plain,
% 28.31/18.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB157) | v130(constB157, 2) | (~v127(constB157, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB157, 2)) | v26(constB157) | v130(constB157, 2)))),
% 28.31/18.83 inference(monotonicity,[status(thm)],[22639])).
% 28.31/18.83 tff(22641,plain,
% 28.31/18.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB157) | v130(constB157, 2) | (~v127(constB157, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB157, 2)) | v26(constB157) | v130(constB157, 2))),
% 28.31/18.83 inference(transitivity,[status(thm)],[22640, 22638])).
% 28.31/18.83 tff(22642,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB157) | v130(constB157, 2) | (~v127(constB157, 2)))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22643,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB157, 2)) | v26(constB157) | v130(constB157, 2)),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22642, 22641])).
% 28.31/18.83 tff(22644,plain,
% 28.31/18.83 ((~v127(constB157, 2)) | v130(constB157, 2)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22643, 455, 22557])).
% 28.31/18.83 tff(22645,plain,
% 28.31/18.83 (~v127(constB157, 2)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22644, 22637])).
% 28.31/18.83 tff(22646,plain,
% 28.31/18.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB157, constB158)) | v127(constB157, 2) | (~v129(constB158, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB157, constB158)) | v127(constB157, 2) | (~v129(constB158, 2)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22647,plain,
% 28.31/18.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB157, constB158)) | v127(constB157, 2) | (~v129(constB158, 2)))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22648,plain,
% 28.31/18.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB157, constB158)) | v127(constB157, 2) | (~v129(constB158, 2))),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22647, 22646])).
% 28.31/18.83 tff(22649,plain,
% 28.31/18.83 (v127(constB157, 2) | (~v129(constB158, 2))),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22648, 473, 22575])).
% 28.31/18.83 tff(22650,plain,
% 28.31/18.83 (~v129(constB158, 2)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22649, 22645])).
% 28.31/18.83 tff(22651,plain,
% 28.31/18.83 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB158, 2)) | v129(constB158, 2) | (~v100(constB158)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB158, 2)) | v129(constB158, 2) | (~v100(constB158)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22652,plain,
% 28.31/18.83 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB158, 2)) | v129(constB158, 2) | (~v100(constB158)))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22653,plain,
% 28.31/18.83 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB158, 2)) | v129(constB158, 2) | (~v100(constB158))),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22652, 22651])).
% 28.31/18.83 tff(22654,plain,
% 28.31/18.83 ((~v90(constB158, 2)) | (~v100(constB158))),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22653, 488, 22650])).
% 28.31/18.83 tff(22655,plain,
% 28.31/18.83 (~v90(constB158, 2)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22654, 22609])).
% 28.31/18.83 tff(22656,plain,
% 28.31/18.83 ((~v1(constB159)) <=> (~v1(constB159))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22657,axiom,(~v1(constB159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_159_1_1')).
% 28.31/18.83 tff(22658,plain,
% 28.31/18.83 (~v1(constB159)),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22657, 22656])).
% 28.31/18.83 tff(22659,plain,
% 28.31/18.83 (nextState(constB158, constB159) <=> nextState(constB158, constB159)),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22660,axiom,(nextState(constB158, constB159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_158_1')).
% 28.31/18.83 tff(22661,plain,
% 28.31/18.83 (nextState(constB158, constB159)),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22660, 22659])).
% 28.31/18.83 tff(22662,plain,
% 28.31/18.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22663,plain,
% 28.31/18.83 (((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159)) <=> (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22664,plain,
% 28.31/18.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159))))),
% 28.31/18.83 inference(monotonicity,[status(thm)],[22663])).
% 28.31/18.83 tff(22665,plain,
% 28.31/18.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 28.31/18.83 inference(transitivity,[status(thm)],[22664, 22662])).
% 28.31/18.83 tff(22666,plain,
% 28.31/18.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22667,plain,
% 28.31/18.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159))),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22666, 22665])).
% 28.31/18.83 tff(22668,plain,
% 28.31/18.83 (~v101(constB159)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22667, 138, 22661, 22658])).
% 28.31/18.83 tff(22669,plain,
% 28.31/18.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22670,plain,
% 28.31/18.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22671,plain,
% 28.31/18.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159))),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22670, 22669])).
% 28.31/18.83 tff(22672,plain,
% 28.31/18.83 (v101(constB159) | (~v100(constB159))),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22671, 155, 22661])).
% 28.31/18.83 tff(22673,plain,
% 28.31/18.83 (~v100(constB159)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22672, 22668])).
% 28.31/18.83 tff(22674,plain,
% 28.31/18.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB158, 2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB158, 2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 2)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22675,plain,
% 28.31/18.83 (((~nextState(constB158, constB159)) | v90(constB158, 2) | v100(constB159) | (~v90(constB159, 2))) <=> (v90(constB158, 2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 2)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22676,plain,
% 28.31/18.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB158, constB159)) | v90(constB158, 2) | v100(constB159) | (~v90(constB159, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB158, 2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 2))))),
% 28.31/18.83 inference(monotonicity,[status(thm)],[22675])).
% 28.31/18.83 tff(22677,plain,
% 28.31/18.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB158, constB159)) | v90(constB158, 2) | v100(constB159) | (~v90(constB159, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB158, 2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 2)))),
% 28.31/18.83 inference(transitivity,[status(thm)],[22676, 22674])).
% 28.31/18.83 tff(22678,plain,
% 28.31/18.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB158, constB159)) | v90(constB158, 2) | v100(constB159) | (~v90(constB159, 2)))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22679,plain,
% 28.31/18.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB158, 2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 2))),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22678, 22677])).
% 28.31/18.83 tff(22680,plain,
% 28.31/18.83 (v90(constB158, 2) | v100(constB159) | (~v90(constB159, 2))),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22679, 170, 22661])).
% 28.31/18.83 tff(22681,plain,
% 28.31/18.83 (v90(constB158, 2) | (~v90(constB159, 2))),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22680, 22673])).
% 28.31/18.83 tff(22682,plain,
% 28.31/18.83 (~v90(constB159, 2)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22681, 22655])).
% 28.31/18.83 tff(22683,plain,
% 28.31/18.83 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 1)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22684,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 1)))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22685,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 1))),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22684, 22683])).
% 28.31/18.83 tff(22686,plain,
% 28.31/18.83 (~v130(constB157, 1)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22685, 2214, 22633, 22629, 22625, 22621, 22617, 22613])).
% 28.31/18.83 tff(22687,plain,
% 28.31/18.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB157, 1)) | v26(constB157) | v130(constB157, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB157, 1)) | v26(constB157) | v130(constB157, 1))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22688,plain,
% 28.31/18.83 ((v26(constB157) | v130(constB157, 1) | (~v127(constB157, 1))) <=> ((~v127(constB157, 1)) | v26(constB157) | v130(constB157, 1))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22689,plain,
% 28.31/18.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB157) | v130(constB157, 1) | (~v127(constB157, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB157, 1)) | v26(constB157) | v130(constB157, 1)))),
% 28.31/18.83 inference(monotonicity,[status(thm)],[22688])).
% 28.31/18.83 tff(22690,plain,
% 28.31/18.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB157) | v130(constB157, 1) | (~v127(constB157, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB157, 1)) | v26(constB157) | v130(constB157, 1))),
% 28.31/18.83 inference(transitivity,[status(thm)],[22689, 22687])).
% 28.31/18.83 tff(22691,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB157) | v130(constB157, 1) | (~v127(constB157, 1)))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22692,plain,
% 28.31/18.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB157, 1)) | v26(constB157) | v130(constB157, 1)),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22691, 22690])).
% 28.31/18.83 tff(22693,plain,
% 28.31/18.83 ((~v127(constB157, 1)) | v130(constB157, 1)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22692, 541, 22557])).
% 28.31/18.83 tff(22694,plain,
% 28.31/18.83 (~v127(constB157, 1)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22693, 22686])).
% 28.31/18.83 tff(22695,plain,
% 28.31/18.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB157, constB158)) | v127(constB157, 1) | (~v129(constB158, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB157, constB158)) | v127(constB157, 1) | (~v129(constB158, 1)))),
% 28.31/18.83 inference(rewrite,[status(thm)],[])).
% 28.31/18.83 tff(22696,plain,
% 28.31/18.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB157, constB158)) | v127(constB157, 1) | (~v129(constB158, 1)))),
% 28.31/18.83 inference(quant_inst,[status(thm)],[])).
% 28.31/18.83 tff(22697,plain,
% 28.31/18.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB157, constB158)) | v127(constB157, 1) | (~v129(constB158, 1))),
% 28.31/18.83 inference(modus_ponens,[status(thm)],[22696, 22695])).
% 28.31/18.83 tff(22698,plain,
% 28.31/18.83 (v127(constB157, 1) | (~v129(constB158, 1))),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22697, 559, 22575])).
% 28.31/18.83 tff(22699,plain,
% 28.31/18.83 (~v129(constB158, 1)),
% 28.31/18.83 inference(unit_resolution,[status(thm)],[22698, 22694])).
% 28.31/18.83 tff(22700,plain,
% 28.31/18.83 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB158, 1)) | v129(constB158, 1) | (~v100(constB158)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB158, 1)) | v129(constB158, 1) | (~v100(constB158)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22701,plain,
% 28.31/18.84 (((~v90(constB158, 1)) | (~v100(constB158)) | v129(constB158, 1)) <=> ((~v90(constB158, 1)) | v129(constB158, 1) | (~v100(constB158)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22702,plain,
% 28.31/18.84 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB158, 1)) | (~v100(constB158)) | v129(constB158, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB158, 1)) | v129(constB158, 1) | (~v100(constB158))))),
% 28.31/18.84 inference(monotonicity,[status(thm)],[22701])).
% 28.31/18.84 tff(22703,plain,
% 28.31/18.84 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB158, 1)) | (~v100(constB158)) | v129(constB158, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB158, 1)) | v129(constB158, 1) | (~v100(constB158)))),
% 28.31/18.84 inference(transitivity,[status(thm)],[22702, 22700])).
% 28.31/18.84 tff(22704,plain,
% 28.31/18.84 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB158, 1)) | (~v100(constB158)) | v129(constB158, 1))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22705,plain,
% 28.31/18.84 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB158, 1)) | v129(constB158, 1) | (~v100(constB158))),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22704, 22703])).
% 28.31/18.84 tff(22706,plain,
% 28.31/18.84 ((~v90(constB158, 1)) | (~v100(constB158))),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22705, 574, 22699])).
% 28.31/18.84 tff(22707,plain,
% 28.31/18.84 (~v90(constB158, 1)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22706, 22609])).
% 28.31/18.84 tff(22708,plain,
% 28.31/18.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB158, 1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB158, 1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 1)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22709,plain,
% 28.31/18.84 (((~nextState(constB158, constB159)) | v90(constB158, 1) | v100(constB159) | (~v90(constB159, 1))) <=> (v90(constB158, 1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 1)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22710,plain,
% 28.31/18.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB158, constB159)) | v90(constB158, 1) | v100(constB159) | (~v90(constB159, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB158, 1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 1))))),
% 28.31/18.84 inference(monotonicity,[status(thm)],[22709])).
% 28.31/18.84 tff(22711,plain,
% 28.31/18.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB158, constB159)) | v90(constB158, 1) | v100(constB159) | (~v90(constB159, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB158, 1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 1)))),
% 28.31/18.84 inference(transitivity,[status(thm)],[22710, 22708])).
% 28.31/18.84 tff(22712,plain,
% 28.31/18.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB158, constB159)) | v90(constB158, 1) | v100(constB159) | (~v90(constB159, 1)))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22713,plain,
% 28.31/18.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB158, 1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 1))),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22712, 22711])).
% 28.31/18.84 tff(22714,plain,
% 28.31/18.84 (v90(constB158, 1) | v100(constB159) | (~v90(constB159, 1))),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22713, 191, 22661])).
% 28.31/18.84 tff(22715,plain,
% 28.31/18.84 (v90(constB158, 1) | (~v90(constB159, 1))),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22714, 22673])).
% 28.31/18.84 tff(22716,plain,
% 28.31/18.84 (~v90(constB159, 1)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22715, 22707])).
% 28.31/18.84 tff(22717,assumption,(~v90(constB157, 0)), introduced(assumption)).
% 28.31/18.84 tff(22718,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB157)) | v90(constB157, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB157)) | v90(constB157, 0))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22719,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB157)) | v90(constB157, 0))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22720,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB157)) | v90(constB157, 0)),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22719, 22718])).
% 28.31/18.84 tff(22721,plain,
% 28.31/18.84 (~v124(constB157)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22720, 4876, 22717])).
% 28.31/18.84 tff(22722,assumption,(~v130(constB157, 0)), introduced(assumption)).
% 28.31/18.84 tff(22723,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB157)) | v130(constB157, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB157)) | v130(constB157, 0))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22724,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB157)) | v130(constB157, 0))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22725,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB157)) | v130(constB157, 0)),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22724, 22723])).
% 28.31/18.84 tff(22726,plain,
% 28.31/18.84 (~v123(constB157)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22725, 1753, 22722])).
% 28.31/18.84 tff(22727,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB157)) | v130(constB157, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB157)) | v130(constB157, 0))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22728,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB157)) | v130(constB157, 0))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22729,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB157)) | v130(constB157, 0)),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22728, 22727])).
% 28.31/18.84 tff(22730,plain,
% 28.31/18.84 (~v119(constB157)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22729, 598, 22722])).
% 28.31/18.84 tff(22731,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB157)) | v130(constB157, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB157)) | v130(constB157, 0))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22732,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB157)) | v130(constB157, 0))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22733,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB157)) | v130(constB157, 0)),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22732, 22731])).
% 28.31/18.84 tff(22734,plain,
% 28.31/18.84 (~v121(constB157)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22733, 1099, 22722])).
% 28.31/18.84 tff(22735,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB157)) | v90(constB157, 0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB157)) | v90(constB157, 0))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22736,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB157)) | v90(constB157, 0))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22737,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB157)) | v90(constB157, 0)),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22736, 22735])).
% 28.31/18.84 tff(22738,plain,
% 28.31/18.84 (~v122(constB157)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22737, 3757, 22717])).
% 28.31/18.84 tff(22739,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB157)) | v90(constB157, 0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB157)) | v90(constB157, 0))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22740,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB157)) | v90(constB157, 0))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22741,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB157)) | v90(constB157, 0)),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22740, 22739])).
% 28.31/18.84 tff(22742,plain,
% 28.31/18.84 (~v120(constB157)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22741, 5047, 22717])).
% 28.31/18.84 tff(22743,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, 0))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22744,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, 0))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22745,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, 0)),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22744, 22743])).
% 28.31/18.84 tff(22746,plain,
% 28.31/18.84 (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22745, 2258, 22722])).
% 28.31/18.84 tff(22747,plain,
% 28.31/18.84 ($false),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22746, 22742, 22738, 22734, 22730, 22726, 22721])).
% 28.31/18.84 tff(22748,plain,(v90(constB157, 0) | v130(constB157, 0)), inference(lemma,lemma(discharge,[]))).
% 28.31/18.84 tff(22749,plain,
% 28.31/18.84 (v130(constB157, 0)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22748, 22542])).
% 28.31/18.84 tff(22750,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB157) | (~v130(constB157, 0)) | v127(constB157, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB157) | (~v130(constB157, 0)) | v127(constB157, 0))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22751,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB157) | (~v130(constB157, 0)) | v127(constB157, 0))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22752,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB157) | (~v130(constB157, 0)) | v127(constB157, 0)),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22751, 22750])).
% 28.31/18.84 tff(22753,plain,
% 28.31/18.84 ((~v130(constB157, 0)) | v127(constB157, 0)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22752, 612, 22557])).
% 28.31/18.84 tff(22754,plain,
% 28.31/18.84 (v127(constB157, 0)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22753, 22749])).
% 28.31/18.84 tff(22755,plain,
% 28.31/18.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB157, constB158)) | (~v127(constB157, 0)) | v129(constB158, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB157, constB158)) | (~v127(constB157, 0)) | v129(constB158, 0))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22756,plain,
% 28.31/18.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB157, constB158)) | (~v127(constB157, 0)) | v129(constB158, 0))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22757,plain,
% 28.31/18.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB157, constB158)) | (~v127(constB157, 0)) | v129(constB158, 0)),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22756, 22755])).
% 28.31/18.84 tff(22758,plain,
% 28.31/18.84 ((~v127(constB157, 0)) | v129(constB158, 0)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22757, 627, 22575])).
% 28.31/18.84 tff(22759,plain,
% 28.31/18.84 (v129(constB158, 0)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22758, 22754])).
% 28.31/18.84 tff(22760,plain,
% 28.31/18.84 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB158, 0) | (~v129(constB158, 0)) | (~v100(constB158)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB158, 0) | (~v129(constB158, 0)) | (~v100(constB158)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22761,plain,
% 28.31/18.84 ((v90(constB158, 0) | (~v100(constB158)) | (~v129(constB158, 0))) <=> (v90(constB158, 0) | (~v129(constB158, 0)) | (~v100(constB158)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22762,plain,
% 28.31/18.84 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB158, 0) | (~v100(constB158)) | (~v129(constB158, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB158, 0) | (~v129(constB158, 0)) | (~v100(constB158))))),
% 28.31/18.84 inference(monotonicity,[status(thm)],[22761])).
% 28.31/18.84 tff(22763,plain,
% 28.31/18.84 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB158, 0) | (~v100(constB158)) | (~v129(constB158, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB158, 0) | (~v129(constB158, 0)) | (~v100(constB158)))),
% 28.31/18.84 inference(transitivity,[status(thm)],[22762, 22760])).
% 28.31/18.84 tff(22764,plain,
% 28.31/18.84 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB158, 0) | (~v100(constB158)) | (~v129(constB158, 0)))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22765,plain,
% 28.31/18.84 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB158, 0) | (~v129(constB158, 0)) | (~v100(constB158))),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22764, 22763])).
% 28.31/18.84 tff(22766,plain,
% 28.31/18.84 (v90(constB158, 0) | (~v100(constB158))),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22765, 642, 22759])).
% 28.31/18.84 tff(22767,plain,
% 28.31/18.84 (v90(constB158, 0)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22766, 22609])).
% 28.31/18.84 tff(22768,plain,
% 28.31/18.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB158, 0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB158, 0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 0))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22769,plain,
% 28.31/18.84 (((~nextState(constB158, constB159)) | (~v90(constB158, 0)) | v100(constB159) | v90(constB159, 0)) <=> ((~v90(constB158, 0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 0))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22770,plain,
% 28.31/18.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB158, constB159)) | (~v90(constB158, 0)) | v100(constB159) | v90(constB159, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB158, 0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 0)))),
% 28.31/18.84 inference(monotonicity,[status(thm)],[22769])).
% 28.31/18.84 tff(22771,plain,
% 28.31/18.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB158, constB159)) | (~v90(constB158, 0)) | v100(constB159) | v90(constB159, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB158, 0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 0))),
% 28.31/18.84 inference(transitivity,[status(thm)],[22770, 22768])).
% 28.31/18.84 tff(22772,plain,
% 28.31/18.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB158, constB159)) | (~v90(constB158, 0)) | v100(constB159) | v90(constB159, 0))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22773,plain,
% 28.31/18.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB158, 0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 0)),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22772, 22771])).
% 28.31/18.84 tff(22774,plain,
% 28.31/18.84 ((~v90(constB158, 0)) | v100(constB159) | v90(constB159, 0)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22773, 660, 22661])).
% 28.31/18.84 tff(22775,plain,
% 28.31/18.84 ((~v90(constB158, 0)) | v90(constB159, 0)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22774, 22673])).
% 28.31/18.84 tff(22776,plain,
% 28.31/18.84 (v90(constB159, 0)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22775, 22767])).
% 28.31/18.84 tff(22777,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB159, 0)) | v90(constB159, 1) | v90(constB159, 2) | v120(constB159))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB159, 0)) | v90(constB159, 1) | v90(constB159, 2) | v120(constB159))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22778,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB159, 0)) | v90(constB159, 1) | v90(constB159, 2) | v120(constB159))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22779,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB159, 0)) | v90(constB159, 1) | v90(constB159, 2) | v120(constB159)),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22778, 22777])).
% 28.31/18.84 tff(22780,plain,
% 28.31/18.84 (v120(constB159)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22779, 679, 22776, 22716, 22682])).
% 28.31/18.84 tff(22781,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB159)) | (~v130(constB159, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB159)) | (~v130(constB159, 2)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22782,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB159)) | (~v130(constB159, 2)))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22783,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB159)) | (~v130(constB159, 2))),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22782, 22781])).
% 28.31/18.84 tff(22784,plain,
% 28.31/18.84 (~v130(constB159, 2)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22783, 785, 22780])).
% 28.31/18.84 tff(22785,assumption,(v26(constB159)), introduced(assumption)).
% 28.31/18.84 tff(22786,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB159))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22787,plain,
% 28.31/18.84 ($false),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22786, 95, 22785])).
% 28.31/18.84 tff(22788,plain,(~v26(constB159)), inference(lemma,lemma(discharge,[]))).
% 28.31/18.84 tff(22789,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB159, 2)) | v26(constB159) | v130(constB159, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB159, 2)) | v26(constB159) | v130(constB159, 2))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22790,plain,
% 28.31/18.84 ((v26(constB159) | v130(constB159, 2) | (~v127(constB159, 2))) <=> ((~v127(constB159, 2)) | v26(constB159) | v130(constB159, 2))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22791,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB159) | v130(constB159, 2) | (~v127(constB159, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB159, 2)) | v26(constB159) | v130(constB159, 2)))),
% 28.31/18.84 inference(monotonicity,[status(thm)],[22790])).
% 28.31/18.84 tff(22792,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB159) | v130(constB159, 2) | (~v127(constB159, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB159, 2)) | v26(constB159) | v130(constB159, 2))),
% 28.31/18.84 inference(transitivity,[status(thm)],[22791, 22789])).
% 28.31/18.84 tff(22793,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB159) | v130(constB159, 2) | (~v127(constB159, 2)))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22794,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB159, 2)) | v26(constB159) | v130(constB159, 2)),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22793, 22792])).
% 28.31/18.84 tff(22795,plain,
% 28.31/18.84 ((~v127(constB159, 2)) | v130(constB159, 2)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22794, 455, 22788])).
% 28.31/18.84 tff(22796,plain,
% 28.31/18.84 (~v127(constB159, 2)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22795, 22784])).
% 28.31/18.84 tff(22797,plain,
% 28.31/18.84 (nextState(constB159, constB160) <=> nextState(constB159, constB160)),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22798,axiom,(nextState(constB159, constB160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_159_1')).
% 28.31/18.84 tff(22799,plain,
% 28.31/18.84 (nextState(constB159, constB160)),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22798, 22797])).
% 28.31/18.84 tff(22800,plain,
% 28.31/18.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB159, constB160)) | v127(constB159, 2) | (~v129(constB160, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB159, constB160)) | v127(constB159, 2) | (~v129(constB160, 2)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22801,plain,
% 28.31/18.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB159, constB160)) | v127(constB159, 2) | (~v129(constB160, 2)))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22802,plain,
% 28.31/18.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB159, constB160)) | v127(constB159, 2) | (~v129(constB160, 2))),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22801, 22800])).
% 28.31/18.84 tff(22803,plain,
% 28.31/18.84 (v127(constB159, 2) | (~v129(constB160, 2))),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22802, 473, 22799])).
% 28.31/18.84 tff(22804,plain,
% 28.31/18.84 (~v129(constB160, 2)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22803, 22796])).
% 28.31/18.84 tff(22805,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB159)) | (~v130(constB159, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB159)) | (~v130(constB159, 0)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22806,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB159)) | (~v130(constB159, 0)))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22807,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB159)) | (~v130(constB159, 0))),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22806, 22805])).
% 28.31/18.84 tff(22808,plain,
% 28.31/18.84 (~v130(constB159, 0)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22807, 919, 22780])).
% 28.31/18.84 tff(22809,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB159, 0)) | v26(constB159) | v130(constB159, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB159, 0)) | v26(constB159) | v130(constB159, 0))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22810,plain,
% 28.31/18.84 ((v26(constB159) | v130(constB159, 0) | (~v127(constB159, 0))) <=> ((~v127(constB159, 0)) | v26(constB159) | v130(constB159, 0))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22811,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB159) | v130(constB159, 0) | (~v127(constB159, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB159, 0)) | v26(constB159) | v130(constB159, 0)))),
% 28.31/18.84 inference(monotonicity,[status(thm)],[22810])).
% 28.31/18.84 tff(22812,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB159) | v130(constB159, 0) | (~v127(constB159, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB159, 0)) | v26(constB159) | v130(constB159, 0))),
% 28.31/18.84 inference(transitivity,[status(thm)],[22811, 22809])).
% 28.31/18.84 tff(22813,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB159) | v130(constB159, 0) | (~v127(constB159, 0)))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22814,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB159, 0)) | v26(constB159) | v130(constB159, 0)),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22813, 22812])).
% 28.31/18.84 tff(22815,plain,
% 28.31/18.84 ((~v127(constB159, 0)) | v130(constB159, 0)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22814, 933, 22788])).
% 28.31/18.84 tff(22816,plain,
% 28.31/18.84 (~v127(constB159, 0)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22815, 22808])).
% 28.31/18.84 tff(22817,assumption,(~v108(constB159)), introduced(assumption)).
% 28.31/18.84 tff(22818,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB159) | (~v112(constB159)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v112(constB159)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22819,plain,
% 28.31/18.84 (((~v112(constB159)) | v108(constB159)) <=> (v108(constB159) | (~v112(constB159)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22820,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB159)) | v108(constB159))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB159) | (~v112(constB159))))),
% 28.31/18.84 inference(monotonicity,[status(thm)],[22819])).
% 28.31/18.84 tff(22821,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB159)) | v108(constB159))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v112(constB159)))),
% 28.31/18.84 inference(transitivity,[status(thm)],[22820, 22818])).
% 28.31/18.84 tff(22822,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB159)) | v108(constB159))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22823,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v112(constB159))),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22822, 22821])).
% 28.31/18.84 tff(22824,plain,
% 28.31/18.84 (~v112(constB159)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22823, 340, 22817])).
% 28.31/18.84 tff(22825,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB159) | (~v26(constB159)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v26(constB159)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22826,plain,
% 28.31/18.84 (((~v26(constB159)) | v108(constB159)) <=> (v108(constB159) | (~v26(constB159)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22827,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB159)) | v108(constB159))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB159) | (~v26(constB159))))),
% 28.31/18.84 inference(monotonicity,[status(thm)],[22826])).
% 28.31/18.84 tff(22828,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB159)) | v108(constB159))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v26(constB159)))),
% 28.31/18.84 inference(transitivity,[status(thm)],[22827, 22825])).
% 28.31/18.84 tff(22829,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB159)) | v108(constB159))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22830,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v26(constB159))),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22829, 22828])).
% 28.31/18.84 tff(22831,plain,
% 28.31/18.84 (~v26(constB159)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22830, 6750, 22817])).
% 28.31/18.84 tff(22832,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | v112(constB159) | (~v113(constB159)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | v112(constB159) | (~v113(constB159)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22833,plain,
% 28.31/18.84 ((v26(constB159) | (~v113(constB159)) | v112(constB159)) <=> (v26(constB159) | v112(constB159) | (~v113(constB159)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22834,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | v112(constB159) | (~v113(constB159))))),
% 28.31/18.84 inference(monotonicity,[status(thm)],[22833])).
% 28.31/18.84 tff(22835,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | v112(constB159) | (~v113(constB159)))),
% 28.31/18.84 inference(transitivity,[status(thm)],[22834, 22832])).
% 28.31/18.84 tff(22836,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22837,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | v112(constB159) | (~v113(constB159))),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22836, 22835])).
% 28.31/18.84 tff(22838,plain,
% 28.31/18.84 (~v113(constB159)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22837, 328, 22831, 22824])).
% 28.31/18.84 tff(22839,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB159) | (~v114(constB159)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB159) | (~v114(constB159)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22840,plain,
% 28.31/18.84 (((~v114(constB159)) | v113(constB159)) <=> (v113(constB159) | (~v114(constB159)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22841,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB159)) | v113(constB159))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB159) | (~v114(constB159))))),
% 28.31/18.84 inference(monotonicity,[status(thm)],[22840])).
% 28.31/18.84 tff(22842,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB159)) | v113(constB159))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB159) | (~v114(constB159)))),
% 28.31/18.84 inference(transitivity,[status(thm)],[22841, 22839])).
% 28.31/18.84 tff(22843,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB159)) | v113(constB159))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22844,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB159) | (~v114(constB159))),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22843, 22842])).
% 28.31/18.84 tff(22845,plain,
% 28.31/18.84 (~v114(constB159)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22844, 314, 22838])).
% 28.31/18.84 tff(22846,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB159) | (~v115(constB159)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v115(constB159)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22847,plain,
% 28.31/18.84 (((~v115(constB159)) | v114(constB159)) <=> (v114(constB159) | (~v115(constB159)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22848,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB159)) | v114(constB159))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB159) | (~v115(constB159))))),
% 28.31/18.84 inference(monotonicity,[status(thm)],[22847])).
% 28.31/18.84 tff(22849,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB159)) | v114(constB159))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v115(constB159)))),
% 28.31/18.84 inference(transitivity,[status(thm)],[22848, 22846])).
% 28.31/18.84 tff(22850,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB159)) | v114(constB159))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22851,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v115(constB159))),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22850, 22849])).
% 28.31/18.84 tff(22852,plain,
% 28.31/18.84 (~v115(constB159)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22851, 300, 22845])).
% 28.31/18.84 tff(22853,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB159) | (~v116(constB159)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB159) | (~v116(constB159)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22854,plain,
% 28.31/18.84 (((~v116(constB159)) | v115(constB159)) <=> (v115(constB159) | (~v116(constB159)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22855,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB159)) | v115(constB159))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB159) | (~v116(constB159))))),
% 28.31/18.84 inference(monotonicity,[status(thm)],[22854])).
% 28.31/18.84 tff(22856,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB159)) | v115(constB159))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB159) | (~v116(constB159)))),
% 28.31/18.84 inference(transitivity,[status(thm)],[22855, 22853])).
% 28.31/18.84 tff(22857,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB159)) | v115(constB159))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22858,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB159) | (~v116(constB159))),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22857, 22856])).
% 28.31/18.84 tff(22859,plain,
% 28.31/18.84 (~v116(constB159)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22858, 286, 22852])).
% 28.31/18.84 tff(22860,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB159) | (~v117(constB159)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB159) | (~v117(constB159)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22861,plain,
% 28.31/18.84 (((~v117(constB159)) | v116(constB159)) <=> (v116(constB159) | (~v117(constB159)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22862,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB159)) | v116(constB159))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB159) | (~v117(constB159))))),
% 28.31/18.84 inference(monotonicity,[status(thm)],[22861])).
% 28.31/18.84 tff(22863,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB159)) | v116(constB159))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB159) | (~v117(constB159)))),
% 28.31/18.84 inference(transitivity,[status(thm)],[22862, 22860])).
% 28.31/18.84 tff(22864,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB159)) | v116(constB159))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22865,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB159) | (~v117(constB159))),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22864, 22863])).
% 28.31/18.84 tff(22866,plain,
% 28.31/18.84 (~v117(constB159)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22865, 272, 22859])).
% 28.31/18.84 tff(22867,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB159) | (~v118(constB159)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB159) | (~v118(constB159)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22868,plain,
% 28.31/18.84 (((~v118(constB159)) | v117(constB159)) <=> (v117(constB159) | (~v118(constB159)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22869,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB159)) | v117(constB159))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB159) | (~v118(constB159))))),
% 28.31/18.84 inference(monotonicity,[status(thm)],[22868])).
% 28.31/18.84 tff(22870,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB159)) | v117(constB159))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB159) | (~v118(constB159)))),
% 28.31/18.84 inference(transitivity,[status(thm)],[22869, 22867])).
% 28.31/18.84 tff(22871,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB159)) | v117(constB159))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22872,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB159) | (~v118(constB159))),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22871, 22870])).
% 28.31/18.84 tff(22873,plain,
% 28.31/18.84 (~v118(constB159)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22872, 258, 22866])).
% 28.31/18.84 tff(22874,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB159) | (~v124(constB159)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v124(constB159)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22875,plain,
% 28.31/18.84 (((~v124(constB159)) | v114(constB159)) <=> (v114(constB159) | (~v124(constB159)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22876,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB159)) | v114(constB159))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB159) | (~v124(constB159))))),
% 28.31/18.84 inference(monotonicity,[status(thm)],[22875])).
% 28.31/18.84 tff(22877,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB159)) | v114(constB159))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v124(constB159)))),
% 28.31/18.84 inference(transitivity,[status(thm)],[22876, 22874])).
% 28.31/18.84 tff(22878,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB159)) | v114(constB159))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22879,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v124(constB159))),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22878, 22877])).
% 28.31/18.84 tff(22880,plain,
% 28.31/18.84 (~v124(constB159)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22879, 1805, 22845])).
% 28.31/18.84 tff(22881,assumption,(~v127(constB159, 0)), introduced(assumption)).
% 28.31/18.84 tff(22882,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB159) | (~v130(constB159, 0)) | v127(constB159, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB159) | (~v130(constB159, 0)) | v127(constB159, 0))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22883,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB159) | (~v130(constB159, 0)) | v127(constB159, 0))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22884,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB159) | (~v130(constB159, 0)) | v127(constB159, 0)),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22883, 22882])).
% 28.31/18.84 tff(22885,plain,
% 28.31/18.84 (v26(constB159) | (~v130(constB159, 0))),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22884, 612, 22881])).
% 28.31/18.84 tff(22886,plain,
% 28.31/18.84 (~v130(constB159, 0)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22885, 22831])).
% 28.31/18.84 tff(22887,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB159)) | v130(constB159, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB159)) | v130(constB159, 0))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22888,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB159)) | v130(constB159, 0))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22889,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB159)) | v130(constB159, 0)),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22888, 22887])).
% 28.31/18.84 tff(22890,plain,
% 28.31/18.84 (~v123(constB159)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22889, 1753, 22886])).
% 28.31/18.84 tff(22891,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB159)) | v130(constB159, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB159)) | v130(constB159, 0))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22892,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB159)) | v130(constB159, 0))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22893,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB159)) | v130(constB159, 0)),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22892, 22891])).
% 28.31/18.84 tff(22894,plain,
% 28.31/18.84 (~v119(constB159)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22893, 598, 22886])).
% 28.31/18.84 tff(22895,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB159)) | v130(constB159, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB159)) | v130(constB159, 0))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22896,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB159)) | v130(constB159, 0))),
% 28.31/18.84 inference(quant_inst,[status(thm)],[])).
% 28.31/18.84 tff(22897,plain,
% 28.31/18.84 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB159)) | v130(constB159, 0)),
% 28.31/18.84 inference(modus_ponens,[status(thm)],[22896, 22895])).
% 28.31/18.84 tff(22898,plain,
% 28.31/18.84 (~v121(constB159)),
% 28.31/18.84 inference(unit_resolution,[status(thm)],[22897, 1099, 22886])).
% 28.31/18.84 tff(22899,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB159) | (~v122(constB159)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB159) | (~v122(constB159)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22900,plain,
% 28.31/18.84 (((~v122(constB159)) | v116(constB159)) <=> (v116(constB159) | (~v122(constB159)))),
% 28.31/18.84 inference(rewrite,[status(thm)],[])).
% 28.31/18.84 tff(22901,plain,
% 28.31/18.84 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB159)) | v116(constB159))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB159) | (~v122(constB159))))),
% 28.31/18.85 inference(monotonicity,[status(thm)],[22900])).
% 28.31/18.85 tff(22902,plain,
% 28.31/18.85 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB159)) | v116(constB159))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB159) | (~v122(constB159)))),
% 28.31/18.85 inference(transitivity,[status(thm)],[22901, 22899])).
% 28.31/18.85 tff(22903,plain,
% 28.31/18.85 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB159)) | v116(constB159))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(22904,plain,
% 28.31/18.85 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB159) | (~v122(constB159))),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[22903, 22902])).
% 28.31/18.85 tff(22905,plain,
% 28.31/18.85 (~v122(constB159)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[22904, 1272, 22859])).
% 28.31/18.85 tff(22906,plain,
% 28.31/18.85 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | v130(constB159, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | v130(constB159, 0))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(22907,plain,
% 28.31/18.85 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | v130(constB159, 0))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(22908,plain,
% 28.31/18.85 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | v130(constB159, 0)),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[22907, 22906])).
% 28.31/18.85 tff(22909,plain,
% 28.31/18.85 (v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[22908, 2258, 22886])).
% 28.31/18.85 tff(22910,plain,
% 28.31/18.85 (v120(constB159)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[22909, 22905, 22898, 22894, 22890, 22880])).
% 28.31/18.85 tff(22911,plain,
% 28.31/18.85 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB159) | (~v120(constB159)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB159) | (~v120(constB159)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(22912,plain,
% 28.31/18.85 (((~v120(constB159)) | v118(constB159)) <=> (v118(constB159) | (~v120(constB159)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(22913,plain,
% 28.31/18.85 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB159)) | v118(constB159))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB159) | (~v120(constB159))))),
% 28.31/18.85 inference(monotonicity,[status(thm)],[22912])).
% 28.31/18.85 tff(22914,plain,
% 28.31/18.85 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB159)) | v118(constB159))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB159) | (~v120(constB159)))),
% 28.31/18.85 inference(transitivity,[status(thm)],[22913, 22911])).
% 28.31/18.85 tff(22915,plain,
% 28.31/18.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB159)) | v118(constB159))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(22916,plain,
% 28.31/18.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB159) | (~v120(constB159))),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[22915, 22914])).
% 28.31/18.85 tff(22917,plain,
% 28.31/18.85 ($false),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[22916, 690, 22910, 22873])).
% 28.31/18.85 tff(22918,plain,(v108(constB159) | v127(constB159, 0)), inference(lemma,lemma(discharge,[]))).
% 28.31/18.85 tff(22919,plain,
% 28.31/18.85 (v108(constB159)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[22918, 22816])).
% 28.31/18.85 tff(22920,plain,
% 28.31/18.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(22921,plain,
% 28.31/18.85 (((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160)) <=> ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(22922,plain,
% 28.31/18.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159))))),
% 28.31/18.85 inference(monotonicity,[status(thm)],[22921])).
% 28.31/18.85 tff(22923,plain,
% 28.31/18.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 28.31/18.85 inference(transitivity,[status(thm)],[22922, 22920])).
% 28.31/18.85 tff(22924,plain,
% 28.31/18.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(22925,plain,
% 28.31/18.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159))),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[22924, 22923])).
% 28.31/18.85 tff(22926,plain,
% 28.31/18.85 (v110(constB160) | (~v108(constB159))),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[22925, 360, 22799])).
% 28.31/18.85 tff(22927,plain,
% 28.31/18.85 (v110(constB160)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[22926, 22919])).
% 28.31/18.85 tff(22928,plain,
% 28.31/18.85 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(22929,plain,
% 28.31/18.85 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(22930,plain,
% 28.31/18.85 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160))),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[22929, 22928])).
% 28.31/18.85 tff(22931,plain,
% 28.31/18.85 (~v104(constB160)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[22930, 378, 22799, 22658])).
% 28.31/18.85 tff(22932,plain,
% 28.31/18.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(22933,plain,
% 28.31/18.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(22934,plain,
% 28.31/18.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB159, constB160)) | v102(constB160) | v104(constB160)),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[22933, 22932])).
% 28.31/18.85 tff(22935,plain,
% 28.31/18.85 (v102(constB160) | v104(constB160)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[22934, 392, 22799])).
% 28.31/18.85 tff(22936,plain,
% 28.31/18.85 (v102(constB160)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[22935, 22931])).
% 28.31/18.85 tff(22937,plain,
% 28.31/18.85 (v1(constB160) <=> v1(constB160)),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(22938,axiom,(v1(constB160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_160_1')).
% 28.31/18.85 tff(22939,plain,
% 28.31/18.85 (v1(constB160)),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[22938, 22937])).
% 28.31/18.85 tff(22940,plain,
% 28.31/18.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(22941,plain,
% 28.31/18.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(22942,plain,
% 28.31/18.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160))),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[22941, 22940])).
% 28.31/18.85 tff(22943,plain,
% 28.31/18.85 (v101(constB160) | (~v102(constB160))),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[22942, 410, 22799, 22939])).
% 28.31/18.85 tff(22944,plain,
% 28.31/18.85 (v101(constB160)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[22943, 22936])).
% 28.31/18.85 tff(22945,plain,
% 28.31/18.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(22946,plain,
% 28.31/18.85 (((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160)) <=> ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(22947,plain,
% 28.31/18.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160))))),
% 28.31/18.85 inference(monotonicity,[status(thm)],[22946])).
% 28.31/18.85 tff(22948,plain,
% 28.31/18.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 28.31/18.85 inference(transitivity,[status(thm)],[22947, 22945])).
% 28.31/18.85 tff(22949,plain,
% 28.31/18.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(22950,plain,
% 28.31/18.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160))),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[22949, 22948])).
% 28.31/18.85 tff(22951,plain,
% 28.31/18.85 (v100(constB160) | (~v101(constB160)) | (~v110(constB160))),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[22950, 425, 22799])).
% 28.31/18.85 tff(22952,plain,
% 28.31/18.85 (v100(constB160) | (~v110(constB160))),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[22951, 22944])).
% 28.31/18.85 tff(22953,plain,
% 28.31/18.85 (v100(constB160)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[22952, 22927])).
% 28.31/18.85 tff(22954,plain,
% 28.31/18.85 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB160, 2)) | v129(constB160, 2) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB160, 2)) | v129(constB160, 2) | (~v100(constB160)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(22955,plain,
% 28.31/18.85 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB160, 2)) | v129(constB160, 2) | (~v100(constB160)))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(22956,plain,
% 28.31/18.85 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB160, 2)) | v129(constB160, 2) | (~v100(constB160))),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[22955, 22954])).
% 28.31/18.85 tff(22957,plain,
% 28.31/18.85 (~v90(constB160, 2)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[22956, 488, 22953, 22804])).
% 28.31/18.85 tff(22958,plain,
% 28.31/18.85 ((~v1(constB161)) <=> (~v1(constB161))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(22959,axiom,(~v1(constB161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_161_1_1')).
% 28.31/18.85 tff(22960,plain,
% 28.31/18.85 (~v1(constB161)),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[22959, 22958])).
% 28.31/18.85 tff(22961,plain,
% 28.31/18.85 (nextState(constB160, constB161) <=> nextState(constB160, constB161)),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(22962,axiom,(nextState(constB160, constB161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_160_1')).
% 28.31/18.85 tff(22963,plain,
% 28.31/18.85 (nextState(constB160, constB161)),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[22962, 22961])).
% 28.31/18.85 tff(22964,plain,
% 28.31/18.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(22965,plain,
% 28.31/18.85 (((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161)) <=> (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(22966,plain,
% 28.31/18.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161))))),
% 28.31/18.85 inference(monotonicity,[status(thm)],[22965])).
% 28.31/18.85 tff(22967,plain,
% 28.31/18.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 28.31/18.85 inference(transitivity,[status(thm)],[22966, 22964])).
% 28.31/18.85 tff(22968,plain,
% 28.31/18.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(22969,plain,
% 28.31/18.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161))),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[22968, 22967])).
% 28.31/18.85 tff(22970,plain,
% 28.31/18.85 (~v101(constB161)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[22969, 138, 22963, 22960])).
% 28.31/18.85 tff(22971,plain,
% 28.31/18.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(22972,plain,
% 28.31/18.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(22973,plain,
% 28.31/18.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161))),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[22972, 22971])).
% 28.31/18.85 tff(22974,plain,
% 28.31/18.85 (v101(constB161) | (~v100(constB161))),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[22973, 155, 22963])).
% 28.31/18.85 tff(22975,plain,
% 28.31/18.85 (~v100(constB161)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[22974, 22970])).
% 28.31/18.85 tff(22976,plain,
% 28.31/18.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB160, 2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB160, 2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 2)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(22977,plain,
% 28.31/18.85 (((~nextState(constB160, constB161)) | v90(constB160, 2) | v100(constB161) | (~v90(constB161, 2))) <=> (v90(constB160, 2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 2)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(22978,plain,
% 28.31/18.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB160, constB161)) | v90(constB160, 2) | v100(constB161) | (~v90(constB161, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB160, 2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 2))))),
% 28.31/18.85 inference(monotonicity,[status(thm)],[22977])).
% 28.31/18.85 tff(22979,plain,
% 28.31/18.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB160, constB161)) | v90(constB160, 2) | v100(constB161) | (~v90(constB161, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB160, 2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 2)))),
% 28.31/18.85 inference(transitivity,[status(thm)],[22978, 22976])).
% 28.31/18.85 tff(22980,plain,
% 28.31/18.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB160, constB161)) | v90(constB160, 2) | v100(constB161) | (~v90(constB161, 2)))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(22981,plain,
% 28.31/18.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB160, 2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 2))),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[22980, 22979])).
% 28.31/18.85 tff(22982,plain,
% 28.31/18.85 (v90(constB160, 2) | v100(constB161) | (~v90(constB161, 2))),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[22981, 170, 22963])).
% 28.31/18.85 tff(22983,plain,
% 28.31/18.85 (v90(constB160, 2) | (~v90(constB161, 2))),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[22982, 22975])).
% 28.31/18.85 tff(22984,plain,
% 28.31/18.85 (~v90(constB161, 2)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[22983, 22957])).
% 28.31/18.85 tff(22985,plain,
% 28.31/18.85 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB159)) | v130(constB159, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB159)) | v130(constB159, 1))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(22986,plain,
% 28.31/18.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB159)) | v130(constB159, 1))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(22987,plain,
% 28.31/18.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB159)) | v130(constB159, 1)),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[22986, 22985])).
% 28.31/18.85 tff(22988,plain,
% 28.31/18.85 (v130(constB159, 1)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[22987, 841, 22780])).
% 28.31/18.85 tff(22989,plain,
% 28.31/18.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB159) | (~v130(constB159, 1)) | v127(constB159, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB159) | (~v130(constB159, 1)) | v127(constB159, 1))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(22990,plain,
% 28.31/18.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB159) | (~v130(constB159, 1)) | v127(constB159, 1))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(22991,plain,
% 28.31/18.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB159) | (~v130(constB159, 1)) | v127(constB159, 1)),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[22990, 22989])).
% 28.31/18.85 tff(22992,plain,
% 28.31/18.85 ((~v130(constB159, 1)) | v127(constB159, 1)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[22991, 855, 22788])).
% 28.31/18.85 tff(22993,plain,
% 28.31/18.85 (v127(constB159, 1)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[22992, 22988])).
% 28.31/18.85 tff(22994,plain,
% 28.31/18.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB159, constB160)) | (~v127(constB159, 1)) | v129(constB160, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB159, constB160)) | (~v127(constB159, 1)) | v129(constB160, 1))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(22995,plain,
% 28.31/18.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB159, constB160)) | (~v127(constB159, 1)) | v129(constB160, 1))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(22996,plain,
% 28.31/18.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB159, constB160)) | (~v127(constB159, 1)) | v129(constB160, 1)),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[22995, 22994])).
% 28.31/18.85 tff(22997,plain,
% 28.31/18.85 ((~v127(constB159, 1)) | v129(constB160, 1)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[22996, 870, 22799])).
% 28.31/18.85 tff(22998,plain,
% 28.31/18.85 (v129(constB160, 1)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[22997, 22993])).
% 28.31/18.85 tff(22999,plain,
% 28.31/18.85 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB160, 1) | (~v129(constB160, 1)) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB160, 1) | (~v129(constB160, 1)) | (~v100(constB160)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(23000,plain,
% 28.31/18.85 ((v90(constB160, 1) | (~v100(constB160)) | (~v129(constB160, 1))) <=> (v90(constB160, 1) | (~v129(constB160, 1)) | (~v100(constB160)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(23001,plain,
% 28.31/18.85 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB160, 1) | (~v100(constB160)) | (~v129(constB160, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB160, 1) | (~v129(constB160, 1)) | (~v100(constB160))))),
% 28.31/18.85 inference(monotonicity,[status(thm)],[23000])).
% 28.31/18.85 tff(23002,plain,
% 28.31/18.85 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB160, 1) | (~v100(constB160)) | (~v129(constB160, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB160, 1) | (~v129(constB160, 1)) | (~v100(constB160)))),
% 28.31/18.85 inference(transitivity,[status(thm)],[23001, 22999])).
% 28.31/18.85 tff(23003,plain,
% 28.31/18.85 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB160, 1) | (~v100(constB160)) | (~v129(constB160, 1)))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(23004,plain,
% 28.31/18.85 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB160, 1) | (~v129(constB160, 1)) | (~v100(constB160))),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[23003, 23002])).
% 28.31/18.85 tff(23005,plain,
% 28.31/18.85 (v90(constB160, 1)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[23004, 885, 22953, 22998])).
% 28.31/18.85 tff(23006,plain,
% 28.31/18.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB160, 1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB160, 1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 1))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(23007,plain,
% 28.31/18.85 (((~nextState(constB160, constB161)) | (~v90(constB160, 1)) | v100(constB161) | v90(constB161, 1)) <=> ((~v90(constB160, 1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 1))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(23008,plain,
% 28.31/18.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, 1)) | v100(constB161) | v90(constB161, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB160, 1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 1)))),
% 28.31/18.85 inference(monotonicity,[status(thm)],[23007])).
% 28.31/18.85 tff(23009,plain,
% 28.31/18.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, 1)) | v100(constB161) | v90(constB161, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB160, 1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 1))),
% 28.31/18.85 inference(transitivity,[status(thm)],[23008, 23006])).
% 28.31/18.85 tff(23010,plain,
% 28.31/18.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, 1)) | v100(constB161) | v90(constB161, 1))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(23011,plain,
% 28.31/18.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB160, 1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 1)),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[23010, 23009])).
% 28.31/18.85 tff(23012,plain,
% 28.31/18.85 ((~v90(constB160, 1)) | v100(constB161) | v90(constB161, 1)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[23011, 903, 22963])).
% 28.31/18.85 tff(23013,plain,
% 28.31/18.85 ((~v90(constB160, 1)) | v90(constB161, 1)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[23012, 22975])).
% 28.31/18.85 tff(23014,plain,
% 28.31/18.85 (v90(constB161, 1)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[23013, 23005])).
% 28.31/18.85 tff(23015,plain,
% 28.31/18.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB159, constB160)) | v127(constB159, 0) | (~v129(constB160, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB159, constB160)) | v127(constB159, 0) | (~v129(constB160, 0)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(23016,plain,
% 28.31/18.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB159, constB160)) | v127(constB159, 0) | (~v129(constB160, 0)))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(23017,plain,
% 28.31/18.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB159, constB160)) | v127(constB159, 0) | (~v129(constB160, 0))),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[23016, 23015])).
% 28.31/18.85 tff(23018,plain,
% 28.31/18.85 (v127(constB159, 0) | (~v129(constB160, 0))),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[23017, 951, 22799])).
% 28.31/18.85 tff(23019,plain,
% 28.31/18.85 (~v129(constB160, 0)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[23018, 22816])).
% 28.31/18.85 tff(23020,plain,
% 28.31/18.85 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB160, 0)) | v129(constB160, 0) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB160, 0)) | v129(constB160, 0) | (~v100(constB160)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(23021,plain,
% 28.31/18.85 (((~v90(constB160, 0)) | (~v100(constB160)) | v129(constB160, 0)) <=> ((~v90(constB160, 0)) | v129(constB160, 0) | (~v100(constB160)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(23022,plain,
% 28.31/18.85 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB160, 0)) | (~v100(constB160)) | v129(constB160, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB160, 0)) | v129(constB160, 0) | (~v100(constB160))))),
% 28.31/18.85 inference(monotonicity,[status(thm)],[23021])).
% 28.31/18.85 tff(23023,plain,
% 28.31/18.85 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB160, 0)) | (~v100(constB160)) | v129(constB160, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB160, 0)) | v129(constB160, 0) | (~v100(constB160)))),
% 28.31/18.85 inference(transitivity,[status(thm)],[23022, 23020])).
% 28.31/18.85 tff(23024,plain,
% 28.31/18.85 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB160, 0)) | (~v100(constB160)) | v129(constB160, 0))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(23025,plain,
% 28.31/18.85 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB160, 0)) | v129(constB160, 0) | (~v100(constB160))),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[23024, 23023])).
% 28.31/18.85 tff(23026,plain,
% 28.31/18.85 (~v90(constB160, 0)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[23025, 966, 22953, 23019])).
% 28.31/18.85 tff(23027,plain,
% 28.31/18.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB160, 0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB160, 0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 0)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(23028,plain,
% 28.31/18.85 (((~nextState(constB160, constB161)) | v90(constB160, 0) | v100(constB161) | (~v90(constB161, 0))) <=> (v90(constB160, 0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 0)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(23029,plain,
% 28.31/18.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB160, constB161)) | v90(constB160, 0) | v100(constB161) | (~v90(constB161, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB160, 0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 0))))),
% 28.31/18.85 inference(monotonicity,[status(thm)],[23028])).
% 28.31/18.85 tff(23030,plain,
% 28.31/18.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB160, constB161)) | v90(constB160, 0) | v100(constB161) | (~v90(constB161, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB160, 0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 0)))),
% 28.31/18.85 inference(transitivity,[status(thm)],[23029, 23027])).
% 28.31/18.85 tff(23031,plain,
% 28.31/18.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB160, constB161)) | v90(constB160, 0) | v100(constB161) | (~v90(constB161, 0)))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(23032,plain,
% 28.31/18.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB160, 0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 0))),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[23031, 23030])).
% 28.31/18.85 tff(23033,plain,
% 28.31/18.85 (v90(constB160, 0) | v100(constB161) | (~v90(constB161, 0))),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[23032, 212, 22963])).
% 28.31/18.85 tff(23034,plain,
% 28.31/18.85 (v90(constB160, 0) | (~v90(constB161, 0))),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[23033, 22975])).
% 28.31/18.85 tff(23035,plain,
% 28.31/18.85 (~v90(constB161, 0)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[23034, 23026])).
% 28.31/18.85 tff(23036,plain,
% 28.31/18.85 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB161, 0) | (~v90(constB161, 1)) | v90(constB161, 2) | v121(constB161))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB161, 0) | (~v90(constB161, 1)) | v90(constB161, 2) | v121(constB161))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(23037,plain,
% 28.31/18.85 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB161, 0) | (~v90(constB161, 1)) | v90(constB161, 2) | v121(constB161))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(23038,plain,
% 28.31/18.85 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB161, 0) | (~v90(constB161, 1)) | v90(constB161, 2) | v121(constB161)),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[23037, 23036])).
% 28.31/18.85 tff(23039,plain,
% 28.31/18.85 (v121(constB161)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[23038, 993, 23035, 23014, 22984])).
% 28.31/18.85 tff(23040,plain,
% 28.31/18.85 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB161) | (~v121(constB161)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB161) | (~v121(constB161)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(23041,plain,
% 28.31/18.85 (((~v121(constB161)) | v117(constB161)) <=> (v117(constB161) | (~v121(constB161)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(23042,plain,
% 28.31/18.85 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB161)) | v117(constB161))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB161) | (~v121(constB161))))),
% 28.31/18.85 inference(monotonicity,[status(thm)],[23041])).
% 28.31/18.85 tff(23043,plain,
% 28.31/18.85 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB161)) | v117(constB161))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB161) | (~v121(constB161)))),
% 28.31/18.85 inference(transitivity,[status(thm)],[23042, 23040])).
% 28.31/18.85 tff(23044,plain,
% 28.31/18.85 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB161)) | v117(constB161))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(23045,plain,
% 28.31/18.85 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB161) | (~v121(constB161))),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[23044, 23043])).
% 28.31/18.85 tff(23046,plain,
% 28.31/18.85 (v117(constB161)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[23045, 1004, 23039])).
% 28.31/18.85 tff(23047,plain,
% 28.31/18.85 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB161) | (~v117(constB161)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB161) | (~v117(constB161)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(23048,plain,
% 28.31/18.85 (((~v117(constB161)) | v116(constB161)) <=> (v116(constB161) | (~v117(constB161)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(23049,plain,
% 28.31/18.85 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB161)) | v116(constB161))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB161) | (~v117(constB161))))),
% 28.31/18.85 inference(monotonicity,[status(thm)],[23048])).
% 28.31/18.85 tff(23050,plain,
% 28.31/18.85 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB161)) | v116(constB161))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB161) | (~v117(constB161)))),
% 28.31/18.85 inference(transitivity,[status(thm)],[23049, 23047])).
% 28.31/18.85 tff(23051,plain,
% 28.31/18.85 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB161)) | v116(constB161))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(23052,plain,
% 28.31/18.85 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB161) | (~v117(constB161))),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[23051, 23050])).
% 28.31/18.85 tff(23053,plain,
% 28.31/18.85 (v116(constB161)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[23052, 272, 23046])).
% 28.31/18.85 tff(23054,plain,
% 28.31/18.85 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB161) | (~v116(constB161)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB161) | (~v116(constB161)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(23055,plain,
% 28.31/18.85 (((~v116(constB161)) | v115(constB161)) <=> (v115(constB161) | (~v116(constB161)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(23056,plain,
% 28.31/18.85 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB161)) | v115(constB161))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB161) | (~v116(constB161))))),
% 28.31/18.85 inference(monotonicity,[status(thm)],[23055])).
% 28.31/18.85 tff(23057,plain,
% 28.31/18.85 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB161)) | v115(constB161))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB161) | (~v116(constB161)))),
% 28.31/18.85 inference(transitivity,[status(thm)],[23056, 23054])).
% 28.31/18.85 tff(23058,plain,
% 28.31/18.85 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB161)) | v115(constB161))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(23059,plain,
% 28.31/18.85 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB161) | (~v116(constB161))),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[23058, 23057])).
% 28.31/18.85 tff(23060,plain,
% 28.31/18.85 (v115(constB161)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[23059, 286, 23053])).
% 28.31/18.85 tff(23061,plain,
% 28.31/18.85 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB161) | (~v115(constB161)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB161) | (~v115(constB161)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(23062,plain,
% 28.31/18.85 (((~v115(constB161)) | v114(constB161)) <=> (v114(constB161) | (~v115(constB161)))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(23063,plain,
% 28.31/18.85 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB161)) | v114(constB161))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB161) | (~v115(constB161))))),
% 28.31/18.85 inference(monotonicity,[status(thm)],[23062])).
% 28.31/18.85 tff(23064,plain,
% 28.31/18.85 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB161)) | v114(constB161))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB161) | (~v115(constB161)))),
% 28.31/18.85 inference(transitivity,[status(thm)],[23063, 23061])).
% 28.31/18.85 tff(23065,plain,
% 28.31/18.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB161)) | v114(constB161))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(23066,plain,
% 28.31/18.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB161) | (~v115(constB161))),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[23065, 23064])).
% 28.31/18.85 tff(23067,plain,
% 28.31/18.85 (v114(constB161)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[23066, 300, 23060])).
% 28.31/18.85 tff(23068,plain,
% 28.31/18.85 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB161)) | v113(constB161))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB161)) | v113(constB161))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(23069,plain,
% 28.31/18.85 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB161)) | v113(constB161))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(23070,plain,
% 28.31/18.85 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB161)) | v113(constB161)),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[23069, 23068])).
% 28.31/18.85 tff(23071,plain,
% 28.31/18.85 (v113(constB161)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[23070, 314, 23067])).
% 28.31/18.85 tff(23072,assumption,(v26(constB161)), introduced(assumption)).
% 28.31/18.85 tff(23073,plain,
% 28.31/18.85 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB161))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(23074,plain,
% 28.31/18.85 ($false),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[23073, 95, 23072])).
% 28.31/18.85 tff(23075,plain,(~v26(constB161)), inference(lemma,lemma(discharge,[]))).
% 28.31/18.85 tff(23076,plain,
% 28.31/18.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | (~v113(constB161)) | v112(constB161))),
% 28.31/18.85 inference(rewrite,[status(thm)],[])).
% 28.31/18.85 tff(23077,plain,
% 28.31/18.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))),
% 28.31/18.85 inference(quant_inst,[status(thm)],[])).
% 28.31/18.85 tff(23078,plain,
% 28.31/18.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | (~v113(constB161)) | v112(constB161)),
% 28.31/18.85 inference(modus_ponens,[status(thm)],[23077, 23076])).
% 28.31/18.85 tff(23079,plain,
% 28.31/18.85 ((~v113(constB161)) | v112(constB161)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[23078, 328, 23075])).
% 28.31/18.85 tff(23080,plain,
% 28.31/18.85 (v112(constB161)),
% 28.31/18.85 inference(unit_resolution,[status(thm)],[23079, 23071])).
% 28.31/18.85 tff(23081,plain,
% 28.31/18.85 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB161) | (~v112(constB161)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB161) | (~v112(constB161)))),
% 28.31/18.86 inference(rewrite,[status(thm)],[])).
% 28.31/18.86 tff(23082,plain,
% 28.31/18.86 (((~v112(constB161)) | v108(constB161)) <=> (v108(constB161) | (~v112(constB161)))),
% 28.31/18.86 inference(rewrite,[status(thm)],[])).
% 28.31/18.86 tff(23083,plain,
% 28.31/18.86 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB161)) | v108(constB161))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB161) | (~v112(constB161))))),
% 28.31/18.86 inference(monotonicity,[status(thm)],[23082])).
% 28.31/18.86 tff(23084,plain,
% 28.31/18.86 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB161)) | v108(constB161))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB161) | (~v112(constB161)))),
% 28.31/18.86 inference(transitivity,[status(thm)],[23083, 23081])).
% 28.31/18.86 tff(23085,plain,
% 28.31/18.86 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB161)) | v108(constB161))),
% 28.31/18.86 inference(quant_inst,[status(thm)],[])).
% 28.31/18.86 tff(23086,plain,
% 28.31/18.86 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB161) | (~v112(constB161))),
% 28.31/18.86 inference(modus_ponens,[status(thm)],[23085, 23084])).
% 28.31/18.86 tff(23087,plain,
% 28.31/18.86 (v108(constB161)),
% 28.31/18.86 inference(unit_resolution,[status(thm)],[23086, 340, 23080])).
% 28.31/18.86 tff(23088,plain,
% 28.31/18.86 (nextState(constB161, constB162) <=> nextState(constB161, constB162)),
% 28.31/18.86 inference(rewrite,[status(thm)],[])).
% 28.31/18.86 tff(23089,axiom,(nextState(constB161, constB162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_161_1')).
% 28.31/18.86 tff(23090,plain,
% 28.31/18.86 (nextState(constB161, constB162)),
% 28.31/18.86 inference(modus_ponens,[status(thm)],[23089, 23088])).
% 28.31/18.86 tff(23091,plain,
% 28.31/18.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 28.31/18.86 inference(rewrite,[status(thm)],[])).
% 28.31/18.86 tff(23092,plain,
% 28.31/18.86 (((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162)) <=> ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 28.31/18.86 inference(rewrite,[status(thm)],[])).
% 28.31/18.86 tff(23093,plain,
% 28.31/18.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161))))),
% 28.31/18.86 inference(monotonicity,[status(thm)],[23092])).
% 28.31/18.86 tff(23094,plain,
% 28.31/18.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 28.31/18.86 inference(transitivity,[status(thm)],[23093, 23091])).
% 28.31/18.86 tff(23095,plain,
% 28.31/18.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))),
% 28.31/18.86 inference(quant_inst,[status(thm)],[])).
% 28.31/18.86 tff(23096,plain,
% 28.31/18.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161))),
% 28.31/18.86 inference(modus_ponens,[status(thm)],[23095, 23094])).
% 28.31/18.86 tff(23097,plain,
% 28.31/18.86 (v110(constB162) | (~v108(constB161))),
% 28.31/18.86 inference(unit_resolution,[status(thm)],[23096, 360, 23090])).
% 28.31/18.86 tff(23098,plain,
% 28.31/18.86 (v110(constB162)),
% 28.31/18.86 inference(unit_resolution,[status(thm)],[23097, 23087])).
% 28.31/18.86 tff(23099,plain,
% 28.31/18.86 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))),
% 28.31/18.86 inference(rewrite,[status(thm)],[])).
% 28.31/18.86 tff(23100,plain,
% 28.31/18.86 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))),
% 28.31/18.86 inference(quant_inst,[status(thm)],[])).
% 28.31/18.86 tff(23101,plain,
% 28.31/18.86 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162))),
% 28.31/18.86 inference(modus_ponens,[status(thm)],[23100, 23099])).
% 28.31/18.86 tff(23102,plain,
% 28.31/18.86 (~v104(constB162)),
% 28.31/18.86 inference(unit_resolution,[status(thm)],[23101, 378, 23090, 22960])).
% 28.31/18.86 tff(23103,plain,
% 28.31/18.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))),
% 28.31/18.86 inference(rewrite,[status(thm)],[])).
% 28.31/18.86 tff(23104,plain,
% 28.31/18.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))),
% 28.31/18.86 inference(quant_inst,[status(thm)],[])).
% 28.31/18.86 tff(23105,plain,
% 28.31/18.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB161, constB162)) | v102(constB162) | v104(constB162)),
% 28.31/18.86 inference(modus_ponens,[status(thm)],[23104, 23103])).
% 28.31/18.86 tff(23106,plain,
% 28.31/18.86 (v102(constB162) | v104(constB162)),
% 28.31/18.86 inference(unit_resolution,[status(thm)],[23105, 392, 23090])).
% 28.31/18.86 tff(23107,plain,
% 28.31/18.86 (v102(constB162)),
% 28.31/18.86 inference(unit_resolution,[status(thm)],[23106, 23102])).
% 28.31/18.86 tff(23108,plain,
% 28.31/18.86 (v1(constB162) <=> v1(constB162)),
% 28.31/18.86 inference(rewrite,[status(thm)],[])).
% 28.31/18.86 tff(23109,axiom,(v1(constB162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_162_1')).
% 28.31/18.86 tff(23110,plain,
% 28.31/18.86 (v1(constB162)),
% 28.31/18.86 inference(modus_ponens,[status(thm)],[23109, 23108])).
% 28.31/18.86 tff(23111,plain,
% 28.31/18.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))),
% 28.31/18.86 inference(rewrite,[status(thm)],[])).
% 28.31/18.86 tff(23112,plain,
% 28.31/18.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))),
% 28.31/18.86 inference(quant_inst,[status(thm)],[])).
% 28.31/18.86 tff(23113,plain,
% 28.31/18.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162))),
% 28.31/18.86 inference(modus_ponens,[status(thm)],[23112, 23111])).
% 28.31/18.86 tff(23114,plain,
% 28.31/18.86 (v101(constB162) | (~v102(constB162))),
% 28.31/18.86 inference(unit_resolution,[status(thm)],[23113, 410, 23090, 23110])).
% 28.31/18.86 tff(23115,plain,
% 28.31/18.86 (v101(constB162)),
% 28.31/18.86 inference(unit_resolution,[status(thm)],[23114, 23107])).
% 28.31/18.86 tff(23116,plain,
% 28.31/18.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 28.31/18.86 inference(rewrite,[status(thm)],[])).
% 28.31/18.86 tff(23117,plain,
% 28.31/18.86 (((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162)) <=> ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 28.31/18.86 inference(rewrite,[status(thm)],[])).
% 28.31/18.86 tff(23118,plain,
% 28.31/18.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162))))),
% 28.31/18.86 inference(monotonicity,[status(thm)],[23117])).
% 28.31/18.86 tff(23119,plain,
% 28.31/18.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 28.31/18.86 inference(transitivity,[status(thm)],[23118, 23116])).
% 28.31/18.86 tff(23120,plain,
% 28.31/18.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))),
% 28.31/18.86 inference(quant_inst,[status(thm)],[])).
% 28.31/18.86 tff(23121,plain,
% 28.31/18.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162))),
% 28.31/18.86 inference(modus_ponens,[status(thm)],[23120, 23119])).
% 28.31/18.86 tff(23122,plain,
% 28.31/18.86 (v100(constB162) | (~v101(constB162)) | (~v110(constB162))),
% 28.31/18.86 inference(unit_resolution,[status(thm)],[23121, 425, 23090])).
% 28.31/18.86 tff(23123,plain,
% 28.31/18.86 (v100(constB162) | (~v110(constB162))),
% 28.31/18.86 inference(unit_resolution,[status(thm)],[23122, 23115])).
% 28.31/18.86 tff(23124,plain,
% 28.31/18.86 (v100(constB162)),
% 28.31/18.86 inference(unit_resolution,[status(thm)],[23123, 23098])).
% 28.31/18.86 tff(23125,plain,
% 28.31/18.86 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB161)) | (~v130(constB161, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB161)) | (~v130(constB161, 2)))),
% 28.31/18.86 inference(rewrite,[status(thm)],[])).
% 28.31/18.86 tff(23126,plain,
% 28.31/18.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB161)) | (~v130(constB161, 2)))),
% 28.31/18.86 inference(quant_inst,[status(thm)],[])).
% 28.31/18.86 tff(23127,plain,
% 28.31/18.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB161)) | (~v130(constB161, 2))),
% 28.31/18.86 inference(modus_ponens,[status(thm)],[23126, 23125])).
% 28.31/18.86 tff(23128,plain,
% 28.31/18.86 (~v130(constB161, 2)),
% 28.31/18.86 inference(unit_resolution,[status(thm)],[23127, 1155, 23039])).
% 28.31/18.86 tff(23129,plain,
% 28.31/18.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB161, 2)) | v26(constB161) | v130(constB161, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB161, 2)) | v26(constB161) | v130(constB161, 2))),
% 28.31/18.86 inference(rewrite,[status(thm)],[])).
% 28.31/18.86 tff(23130,plain,
% 28.31/18.86 ((v26(constB161) | v130(constB161, 2) | (~v127(constB161, 2))) <=> ((~v127(constB161, 2)) | v26(constB161) | v130(constB161, 2))),
% 28.31/18.86 inference(rewrite,[status(thm)],[])).
% 28.31/18.86 tff(23131,plain,
% 28.31/18.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB161) | v130(constB161, 2) | (~v127(constB161, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB161, 2)) | v26(constB161) | v130(constB161, 2)))),
% 28.31/18.86 inference(monotonicity,[status(thm)],[23130])).
% 28.31/18.86 tff(23132,plain,
% 28.31/18.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB161) | v130(constB161, 2) | (~v127(constB161, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB161, 2)) | v26(constB161) | v130(constB161, 2))),
% 28.31/18.86 inference(transitivity,[status(thm)],[23131, 23129])).
% 28.31/18.86 tff(23133,plain,
% 28.31/18.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB161) | v130(constB161, 2) | (~v127(constB161, 2)))),
% 28.31/18.86 inference(quant_inst,[status(thm)],[])).
% 28.31/18.86 tff(23134,plain,
% 28.31/18.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB161, 2)) | v26(constB161) | v130(constB161, 2)),
% 28.31/18.86 inference(modus_ponens,[status(thm)],[23133, 23132])).
% 28.31/18.86 tff(23135,plain,
% 28.31/18.86 ((~v127(constB161, 2)) | v130(constB161, 2)),
% 28.31/18.86 inference(unit_resolution,[status(thm)],[23134, 455, 23075])).
% 28.31/18.86 tff(23136,plain,
% 28.31/18.86 (~v127(constB161, 2)),
% 28.31/18.86 inference(unit_resolution,[status(thm)],[23135, 23128])).
% 28.31/18.86 tff(23137,plain,
% 28.31/18.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB161, constB162)) | v127(constB161, 2) | (~v129(constB162, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB161, constB162)) | v127(constB161, 2) | (~v129(constB162, 2)))),
% 28.31/18.86 inference(rewrite,[status(thm)],[])).
% 28.31/18.86 tff(23138,plain,
% 28.31/18.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB161, constB162)) | v127(constB161, 2) | (~v129(constB162, 2)))),
% 28.31/18.86 inference(quant_inst,[status(thm)],[])).
% 28.31/18.86 tff(23139,plain,
% 28.31/18.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB161, constB162)) | v127(constB161, 2) | (~v129(constB162, 2))),
% 28.31/18.86 inference(modus_ponens,[status(thm)],[23138, 23137])).
% 28.31/18.86 tff(23140,plain,
% 28.31/18.86 (v127(constB161, 2) | (~v129(constB162, 2))),
% 28.31/18.86 inference(unit_resolution,[status(thm)],[23139, 473, 23090])).
% 28.31/18.86 tff(23141,plain,
% 28.31/18.86 (~v129(constB162, 2)),
% 28.31/18.86 inference(unit_resolution,[status(thm)],[23140, 23136])).
% 28.31/18.86 tff(23142,plain,
% 28.31/18.86 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB162, 2)) | v129(constB162, 2) | (~v100(constB162)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB162, 2)) | v129(constB162, 2) | (~v100(constB162)))),
% 28.31/18.86 inference(rewrite,[status(thm)],[])).
% 28.31/18.86 tff(23143,plain,
% 28.31/18.86 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB162, 2)) | v129(constB162, 2) | (~v100(constB162)))),
% 28.31/18.86 inference(quant_inst,[status(thm)],[])).
% 28.31/18.86 tff(23144,plain,
% 28.31/18.86 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB162, 2)) | v129(constB162, 2) | (~v100(constB162))),
% 28.31/18.86 inference(modus_ponens,[status(thm)],[23143, 23142])).
% 28.31/18.86 tff(23145,plain,
% 28.31/18.86 ((~v90(constB162, 2)) | (~v100(constB162))),
% 28.31/18.86 inference(unit_resolution,[status(thm)],[23144, 488, 23141])).
% 28.31/18.86 tff(23146,plain,
% 28.31/18.86 (~v90(constB162, 2)),
% 28.31/18.86 inference(unit_resolution,[status(thm)],[23145, 23124])).
% 28.31/18.86 tff(23147,plain,
% 28.31/18.86 ((~v1(constB163)) <=> (~v1(constB163))),
% 28.31/18.86 inference(rewrite,[status(thm)],[])).
% 28.31/18.86 tff(23148,axiom,(~v1(constB163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_163_1_1')).
% 28.31/18.86 tff(23149,plain,
% 28.31/18.86 (~v1(constB163)),
% 28.31/18.86 inference(modus_ponens,[status(thm)],[23148, 23147])).
% 28.31/18.86 tff(23150,plain,
% 28.31/18.86 (nextState(constB162, constB163) <=> nextState(constB162, constB163)),
% 28.31/18.86 inference(rewrite,[status(thm)],[])).
% 28.31/18.86 tff(23151,axiom,(nextState(constB162, constB163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_162_1')).
% 28.31/18.86 tff(23152,plain,
% 28.31/18.86 (nextState(constB162, constB163)),
% 28.31/18.86 inference(modus_ponens,[status(thm)],[23151, 23150])).
% 28.31/18.86 tff(23153,plain,
% 28.31/18.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 28.31/18.86 inference(rewrite,[status(thm)],[])).
% 28.31/18.86 tff(23154,plain,
% 28.31/18.86 (((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163)) <=> (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 28.31/18.86 inference(rewrite,[status(thm)],[])).
% 28.31/18.86 tff(23155,plain,
% 28.31/18.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163))))),
% 28.31/18.86 inference(monotonicity,[status(thm)],[23154])).
% 28.31/18.86 tff(23156,plain,
% 28.31/18.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 28.31/18.86 inference(transitivity,[status(thm)],[23155, 23153])).
% 28.31/18.86 tff(23157,plain,
% 28.31/18.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))),
% 28.31/18.86 inference(quant_inst,[status(thm)],[])).
% 28.31/18.86 tff(23158,plain,
% 28.31/18.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163))),
% 28.31/18.86 inference(modus_ponens,[status(thm)],[23157, 23156])).
% 28.31/18.86 tff(23159,plain,
% 28.31/18.86 (~v101(constB163)),
% 28.31/18.86 inference(unit_resolution,[status(thm)],[23158, 138, 23152, 23149])).
% 28.31/18.86 tff(23160,plain,
% 28.31/18.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))),
% 28.31/18.86 inference(rewrite,[status(thm)],[])).
% 28.31/18.86 tff(23161,plain,
% 28.31/18.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))),
% 28.31/18.86 inference(quant_inst,[status(thm)],[])).
% 28.31/18.86 tff(23162,plain,
% 28.31/18.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163))),
% 28.31/18.86 inference(modus_ponens,[status(thm)],[23161, 23160])).
% 28.31/18.86 tff(23163,plain,
% 28.31/18.86 (v101(constB163) | (~v100(constB163))),
% 28.31/18.86 inference(unit_resolution,[status(thm)],[23162, 155, 23152])).
% 28.31/18.86 tff(23164,plain,
% 28.31/18.86 (~v100(constB163)),
% 28.31/18.86 inference(unit_resolution,[status(thm)],[23163, 23159])).
% 28.31/18.86 tff(23165,plain,
% 28.31/18.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB162, 2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB162, 2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 2)))),
% 28.31/18.86 inference(rewrite,[status(thm)],[])).
% 28.31/18.86 tff(23166,plain,
% 28.31/18.86 (((~nextState(constB162, constB163)) | v90(constB162, 2) | v100(constB163) | (~v90(constB163, 2))) <=> (v90(constB162, 2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 2)))),
% 28.31/18.86 inference(rewrite,[status(thm)],[])).
% 28.31/18.86 tff(23167,plain,
% 28.31/18.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB162, constB163)) | v90(constB162, 2) | v100(constB163) | (~v90(constB163, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB162, 2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 2))))),
% 28.31/18.86 inference(monotonicity,[status(thm)],[23166])).
% 28.31/18.86 tff(23168,plain,
% 28.31/18.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB162, constB163)) | v90(constB162, 2) | v100(constB163) | (~v90(constB163, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB162, 2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 2)))),
% 28.31/18.86 inference(transitivity,[status(thm)],[23167, 23165])).
% 28.31/18.86 tff(23169,plain,
% 28.31/18.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB162, constB163)) | v90(constB162, 2) | v100(constB163) | (~v90(constB163, 2)))),
% 28.31/18.86 inference(quant_inst,[status(thm)],[])).
% 28.31/18.86 tff(23170,plain,
% 28.31/18.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB162, 2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 2))),
% 28.31/18.86 inference(modus_ponens,[status(thm)],[23169, 23168])).
% 28.31/18.86 tff(23171,plain,
% 28.31/18.86 (v90(constB162, 2) | v100(constB163) | (~v90(constB163, 2))),
% 28.31/18.86 inference(unit_resolution,[status(thm)],[23170, 170, 23152])).
% 28.31/18.86 tff(23172,plain,
% 28.31/18.86 (v90(constB162, 2) | (~v90(constB163, 2))),
% 28.31/18.86 inference(unit_resolution,[status(thm)],[23171, 23164])).
% 28.31/18.86 tff(23173,plain,
% 28.31/18.86 (~v90(constB163, 2)),
% 28.31/18.86 inference(unit_resolution,[status(thm)],[23172, 23146])).
% 28.31/18.86 tff(23174,plain,
% 28.31/18.86 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB161)) | v130(constB161, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB161)) | v130(constB161, 1))),
% 28.31/18.86 inference(rewrite,[status(thm)],[])).
% 28.31/18.86 tff(23175,plain,
% 28.31/18.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB161)) | v130(constB161, 1))),
% 28.31/18.86 inference(quant_inst,[status(thm)],[])).
% 28.31/18.86 tff(23176,plain,
% 28.31/18.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB161)) | v130(constB161, 1)),
% 28.31/18.86 inference(modus_ponens,[status(thm)],[23175, 23174])).
% 28.31/18.86 tff(23177,plain,
% 28.31/18.86 (v130(constB161, 1)),
% 28.31/18.86 inference(unit_resolution,[status(thm)],[23176, 1235, 23039])).
% 28.31/18.86 tff(23178,plain,
% 28.31/18.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB161) | (~v130(constB161, 1)) | v127(constB161, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB161) | (~v130(constB161, 1)) | v127(constB161, 1))),
% 28.31/18.86 inference(rewrite,[status(thm)],[])).
% 28.31/18.86 tff(23179,plain,
% 28.31/18.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB161) | (~v130(constB161, 1)) | v127(constB161, 1))),
% 28.35/18.86 inference(quant_inst,[status(thm)],[])).
% 28.35/18.86 tff(23180,plain,
% 28.35/18.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB161) | (~v130(constB161, 1)) | v127(constB161, 1)),
% 28.35/18.86 inference(modus_ponens,[status(thm)],[23179, 23178])).
% 28.35/18.86 tff(23181,plain,
% 28.35/18.86 ((~v130(constB161, 1)) | v127(constB161, 1)),
% 28.35/18.86 inference(unit_resolution,[status(thm)],[23180, 855, 23075])).
% 28.35/18.86 tff(23182,plain,
% 28.35/18.86 (v127(constB161, 1)),
% 28.35/18.86 inference(unit_resolution,[status(thm)],[23181, 23177])).
% 28.35/18.86 tff(23183,plain,
% 28.35/18.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB161, constB162)) | (~v127(constB161, 1)) | v129(constB162, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB161, constB162)) | (~v127(constB161, 1)) | v129(constB162, 1))),
% 28.35/18.86 inference(rewrite,[status(thm)],[])).
% 28.35/18.86 tff(23184,plain,
% 28.35/18.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB161, constB162)) | (~v127(constB161, 1)) | v129(constB162, 1))),
% 28.35/18.86 inference(quant_inst,[status(thm)],[])).
% 28.35/18.86 tff(23185,plain,
% 28.35/18.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB161, constB162)) | (~v127(constB161, 1)) | v129(constB162, 1)),
% 28.35/18.86 inference(modus_ponens,[status(thm)],[23184, 23183])).
% 28.35/18.86 tff(23186,plain,
% 28.35/18.86 ((~v127(constB161, 1)) | v129(constB162, 1)),
% 28.35/18.86 inference(unit_resolution,[status(thm)],[23185, 870, 23090])).
% 28.35/18.86 tff(23187,plain,
% 28.35/18.86 (v129(constB162, 1)),
% 28.35/18.86 inference(unit_resolution,[status(thm)],[23186, 23182])).
% 28.35/18.86 tff(23188,plain,
% 28.35/18.86 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB162, 1) | (~v129(constB162, 1)) | (~v100(constB162)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB162, 1) | (~v129(constB162, 1)) | (~v100(constB162)))),
% 28.35/18.86 inference(rewrite,[status(thm)],[])).
% 28.35/18.86 tff(23189,plain,
% 28.35/18.86 ((v90(constB162, 1) | (~v100(constB162)) | (~v129(constB162, 1))) <=> (v90(constB162, 1) | (~v129(constB162, 1)) | (~v100(constB162)))),
% 28.35/18.86 inference(rewrite,[status(thm)],[])).
% 28.35/18.86 tff(23190,plain,
% 28.35/18.86 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB162, 1) | (~v100(constB162)) | (~v129(constB162, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB162, 1) | (~v129(constB162, 1)) | (~v100(constB162))))),
% 28.35/18.86 inference(monotonicity,[status(thm)],[23189])).
% 28.35/18.86 tff(23191,plain,
% 28.35/18.86 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB162, 1) | (~v100(constB162)) | (~v129(constB162, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB162, 1) | (~v129(constB162, 1)) | (~v100(constB162)))),
% 28.35/18.86 inference(transitivity,[status(thm)],[23190, 23188])).
% 28.35/18.86 tff(23192,plain,
% 28.35/18.86 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB162, 1) | (~v100(constB162)) | (~v129(constB162, 1)))),
% 28.35/18.86 inference(quant_inst,[status(thm)],[])).
% 28.35/18.86 tff(23193,plain,
% 28.35/18.86 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB162, 1) | (~v129(constB162, 1)) | (~v100(constB162))),
% 28.35/18.86 inference(modus_ponens,[status(thm)],[23192, 23191])).
% 28.35/18.86 tff(23194,plain,
% 28.35/18.86 (v90(constB162, 1) | (~v100(constB162))),
% 28.35/18.86 inference(unit_resolution,[status(thm)],[23193, 885, 23187])).
% 28.35/18.86 tff(23195,plain,
% 28.35/18.86 (v90(constB162, 1)),
% 28.35/18.86 inference(unit_resolution,[status(thm)],[23194, 23124])).
% 28.35/18.86 tff(23196,plain,
% 28.35/18.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB162, 1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB162, 1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 1))),
% 28.35/18.86 inference(rewrite,[status(thm)],[])).
% 28.35/18.86 tff(23197,plain,
% 28.35/18.86 (((~nextState(constB162, constB163)) | (~v90(constB162, 1)) | v100(constB163) | v90(constB163, 1)) <=> ((~v90(constB162, 1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 1))),
% 28.35/18.86 inference(rewrite,[status(thm)],[])).
% 28.35/18.86 tff(23198,plain,
% 28.35/18.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB162, constB163)) | (~v90(constB162, 1)) | v100(constB163) | v90(constB163, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB162, 1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 1)))),
% 28.35/18.86 inference(monotonicity,[status(thm)],[23197])).
% 28.35/18.86 tff(23199,plain,
% 28.35/18.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB162, constB163)) | (~v90(constB162, 1)) | v100(constB163) | v90(constB163, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB162, 1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 1))),
% 28.35/18.86 inference(transitivity,[status(thm)],[23198, 23196])).
% 28.35/18.86 tff(23200,plain,
% 28.35/18.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB162, constB163)) | (~v90(constB162, 1)) | v100(constB163) | v90(constB163, 1))),
% 28.35/18.86 inference(quant_inst,[status(thm)],[])).
% 28.35/18.86 tff(23201,plain,
% 28.35/18.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB162, 1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 1)),
% 28.35/18.86 inference(modus_ponens,[status(thm)],[23200, 23199])).
% 28.35/18.86 tff(23202,plain,
% 28.35/18.86 ((~v90(constB162, 1)) | v100(constB163) | v90(constB163, 1)),
% 28.35/18.86 inference(unit_resolution,[status(thm)],[23201, 903, 23152])).
% 28.35/18.86 tff(23203,plain,
% 28.35/18.86 ((~v90(constB162, 1)) | v90(constB163, 1)),
% 28.35/18.86 inference(unit_resolution,[status(thm)],[23202, 23164])).
% 28.35/18.86 tff(23204,plain,
% 28.35/18.86 (v90(constB163, 1)),
% 28.35/18.86 inference(unit_resolution,[status(thm)],[23203, 23195])).
% 28.35/18.86 tff(23205,plain,
% 28.35/18.86 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB161)) | v130(constB161, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB161)) | v130(constB161, 0))),
% 28.35/18.86 inference(rewrite,[status(thm)],[])).
% 28.35/18.86 tff(23206,plain,
% 28.35/18.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB161)) | v130(constB161, 0))),
% 28.35/18.86 inference(quant_inst,[status(thm)],[])).
% 28.35/18.86 tff(23207,plain,
% 28.35/18.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB161)) | v130(constB161, 0)),
% 28.35/18.86 inference(modus_ponens,[status(thm)],[23206, 23205])).
% 28.35/18.86 tff(23208,plain,
% 28.35/18.86 (v130(constB161, 0)),
% 28.35/18.86 inference(unit_resolution,[status(thm)],[23207, 1099, 23039])).
% 28.35/18.86 tff(23209,plain,
% 28.35/18.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB161) | (~v130(constB161, 0)) | v127(constB161, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB161) | (~v130(constB161, 0)) | v127(constB161, 0))),
% 28.35/18.86 inference(rewrite,[status(thm)],[])).
% 28.35/18.86 tff(23210,plain,
% 28.35/18.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB161) | (~v130(constB161, 0)) | v127(constB161, 0))),
% 28.35/18.86 inference(quant_inst,[status(thm)],[])).
% 28.35/18.86 tff(23211,plain,
% 28.35/18.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB161) | (~v130(constB161, 0)) | v127(constB161, 0)),
% 28.35/18.86 inference(modus_ponens,[status(thm)],[23210, 23209])).
% 28.35/18.86 tff(23212,plain,
% 28.35/18.86 ((~v130(constB161, 0)) | v127(constB161, 0)),
% 28.35/18.86 inference(unit_resolution,[status(thm)],[23211, 612, 23075])).
% 28.35/18.86 tff(23213,plain,
% 28.35/18.86 (v127(constB161, 0)),
% 28.35/18.86 inference(unit_resolution,[status(thm)],[23212, 23208])).
% 28.35/18.86 tff(23214,plain,
% 28.35/18.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB161, constB162)) | (~v127(constB161, 0)) | v129(constB162, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB161, constB162)) | (~v127(constB161, 0)) | v129(constB162, 0))),
% 28.35/18.86 inference(rewrite,[status(thm)],[])).
% 28.35/18.86 tff(23215,plain,
% 28.35/18.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB161, constB162)) | (~v127(constB161, 0)) | v129(constB162, 0))),
% 28.35/18.86 inference(quant_inst,[status(thm)],[])).
% 28.35/18.86 tff(23216,plain,
% 28.35/18.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB161, constB162)) | (~v127(constB161, 0)) | v129(constB162, 0)),
% 28.35/18.86 inference(modus_ponens,[status(thm)],[23215, 23214])).
% 28.35/18.86 tff(23217,plain,
% 28.35/18.86 ((~v127(constB161, 0)) | v129(constB162, 0)),
% 28.35/18.86 inference(unit_resolution,[status(thm)],[23216, 627, 23090])).
% 28.35/18.86 tff(23218,plain,
% 28.35/18.86 (v129(constB162, 0)),
% 28.35/18.86 inference(unit_resolution,[status(thm)],[23217, 23213])).
% 28.35/18.86 tff(23219,plain,
% 28.35/18.86 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB162, 0) | (~v129(constB162, 0)) | (~v100(constB162)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB162, 0) | (~v129(constB162, 0)) | (~v100(constB162)))),
% 28.35/18.86 inference(rewrite,[status(thm)],[])).
% 28.35/18.86 tff(23220,plain,
% 28.35/18.86 ((v90(constB162, 0) | (~v100(constB162)) | (~v129(constB162, 0))) <=> (v90(constB162, 0) | (~v129(constB162, 0)) | (~v100(constB162)))),
% 28.35/18.86 inference(rewrite,[status(thm)],[])).
% 28.35/18.86 tff(23221,plain,
% 28.35/18.86 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB162, 0) | (~v100(constB162)) | (~v129(constB162, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB162, 0) | (~v129(constB162, 0)) | (~v100(constB162))))),
% 28.35/18.86 inference(monotonicity,[status(thm)],[23220])).
% 28.35/18.86 tff(23222,plain,
% 28.35/18.86 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB162, 0) | (~v100(constB162)) | (~v129(constB162, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB162, 0) | (~v129(constB162, 0)) | (~v100(constB162)))),
% 28.35/18.86 inference(transitivity,[status(thm)],[23221, 23219])).
% 28.35/18.86 tff(23223,plain,
% 28.35/18.86 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB162, 0) | (~v100(constB162)) | (~v129(constB162, 0)))),
% 28.35/18.86 inference(quant_inst,[status(thm)],[])).
% 28.35/18.86 tff(23224,plain,
% 28.35/18.86 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB162, 0) | (~v129(constB162, 0)) | (~v100(constB162))),
% 28.35/18.86 inference(modus_ponens,[status(thm)],[23223, 23222])).
% 28.35/18.86 tff(23225,plain,
% 28.35/18.86 (v90(constB162, 0) | (~v100(constB162))),
% 28.35/18.86 inference(unit_resolution,[status(thm)],[23224, 642, 23218])).
% 28.35/18.86 tff(23226,plain,
% 28.35/18.86 (v90(constB162, 0)),
% 28.35/18.86 inference(unit_resolution,[status(thm)],[23225, 23124])).
% 28.35/18.86 tff(23227,plain,
% 28.35/18.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB162, 0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB162, 0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 0))),
% 28.35/18.86 inference(rewrite,[status(thm)],[])).
% 28.35/18.86 tff(23228,plain,
% 28.35/18.86 (((~nextState(constB162, constB163)) | (~v90(constB162, 0)) | v100(constB163) | v90(constB163, 0)) <=> ((~v90(constB162, 0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 0))),
% 28.35/18.86 inference(rewrite,[status(thm)],[])).
% 28.35/18.86 tff(23229,plain,
% 28.35/18.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB162, constB163)) | (~v90(constB162, 0)) | v100(constB163) | v90(constB163, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB162, 0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 0)))),
% 28.35/18.86 inference(monotonicity,[status(thm)],[23228])).
% 28.35/18.86 tff(23230,plain,
% 28.35/18.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB162, constB163)) | (~v90(constB162, 0)) | v100(constB163) | v90(constB163, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB162, 0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 0))),
% 28.35/18.86 inference(transitivity,[status(thm)],[23229, 23227])).
% 28.35/18.86 tff(23231,plain,
% 28.35/18.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB162, constB163)) | (~v90(constB162, 0)) | v100(constB163) | v90(constB163, 0))),
% 28.35/18.86 inference(quant_inst,[status(thm)],[])).
% 28.35/18.87 tff(23232,plain,
% 28.35/18.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB162, 0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 0)),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23231, 23230])).
% 28.35/18.87 tff(23233,plain,
% 28.35/18.87 ((~v90(constB162, 0)) | v100(constB163) | v90(constB163, 0)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23232, 660, 23152])).
% 28.35/18.87 tff(23234,plain,
% 28.35/18.87 ((~v90(constB162, 0)) | v90(constB163, 0)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23233, 23164])).
% 28.35/18.87 tff(23235,plain,
% 28.35/18.87 (v90(constB163, 0)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23234, 23226])).
% 28.35/18.87 tff(23236,plain,
% 28.35/18.87 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB163, 0)) | (~v90(constB163, 1)) | v90(constB163, 2) | v122(constB163))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB163, 0)) | (~v90(constB163, 1)) | v90(constB163, 2) | v122(constB163))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23237,plain,
% 28.35/18.87 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB163, 0)) | (~v90(constB163, 1)) | v90(constB163, 2) | v122(constB163))),
% 28.35/18.87 inference(quant_inst,[status(thm)],[])).
% 28.35/18.87 tff(23238,plain,
% 28.35/18.87 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB163, 0)) | (~v90(constB163, 1)) | v90(constB163, 2) | v122(constB163)),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23237, 23236])).
% 28.35/18.87 tff(23239,plain,
% 28.35/18.87 (v122(constB163)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23238, 1260, 23235, 23204, 23173])).
% 28.35/18.87 tff(23240,plain,
% 28.35/18.87 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB163) | (~v122(constB163)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB163) | (~v122(constB163)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23241,plain,
% 28.35/18.87 (((~v122(constB163)) | v116(constB163)) <=> (v116(constB163) | (~v122(constB163)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23242,plain,
% 28.35/18.87 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB163)) | v116(constB163))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB163) | (~v122(constB163))))),
% 28.35/18.87 inference(monotonicity,[status(thm)],[23241])).
% 28.35/18.87 tff(23243,plain,
% 28.35/18.87 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB163)) | v116(constB163))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB163) | (~v122(constB163)))),
% 28.35/18.87 inference(transitivity,[status(thm)],[23242, 23240])).
% 28.35/18.87 tff(23244,plain,
% 28.35/18.87 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB163)) | v116(constB163))),
% 28.35/18.87 inference(quant_inst,[status(thm)],[])).
% 28.35/18.87 tff(23245,plain,
% 28.35/18.87 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB163) | (~v122(constB163))),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23244, 23243])).
% 28.35/18.87 tff(23246,plain,
% 28.35/18.87 (v116(constB163)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23245, 1272, 23239])).
% 28.35/18.87 tff(23247,plain,
% 28.35/18.87 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB163) | (~v116(constB163)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB163) | (~v116(constB163)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23248,plain,
% 28.35/18.87 (((~v116(constB163)) | v115(constB163)) <=> (v115(constB163) | (~v116(constB163)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23249,plain,
% 28.35/18.87 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB163)) | v115(constB163))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB163) | (~v116(constB163))))),
% 28.35/18.87 inference(monotonicity,[status(thm)],[23248])).
% 28.35/18.87 tff(23250,plain,
% 28.35/18.87 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB163)) | v115(constB163))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB163) | (~v116(constB163)))),
% 28.35/18.87 inference(transitivity,[status(thm)],[23249, 23247])).
% 28.35/18.87 tff(23251,plain,
% 28.35/18.87 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB163)) | v115(constB163))),
% 28.35/18.87 inference(quant_inst,[status(thm)],[])).
% 28.35/18.87 tff(23252,plain,
% 28.35/18.87 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB163) | (~v116(constB163))),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23251, 23250])).
% 28.35/18.87 tff(23253,plain,
% 28.35/18.87 (v115(constB163)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23252, 286, 23246])).
% 28.35/18.87 tff(23254,plain,
% 28.35/18.87 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB163) | (~v115(constB163)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB163) | (~v115(constB163)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23255,plain,
% 28.35/18.87 (((~v115(constB163)) | v114(constB163)) <=> (v114(constB163) | (~v115(constB163)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23256,plain,
% 28.35/18.87 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB163)) | v114(constB163))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB163) | (~v115(constB163))))),
% 28.35/18.87 inference(monotonicity,[status(thm)],[23255])).
% 28.35/18.87 tff(23257,plain,
% 28.35/18.87 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB163)) | v114(constB163))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB163) | (~v115(constB163)))),
% 28.35/18.87 inference(transitivity,[status(thm)],[23256, 23254])).
% 28.35/18.87 tff(23258,plain,
% 28.35/18.87 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB163)) | v114(constB163))),
% 28.35/18.87 inference(quant_inst,[status(thm)],[])).
% 28.35/18.87 tff(23259,plain,
% 28.35/18.87 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB163) | (~v115(constB163))),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23258, 23257])).
% 28.35/18.87 tff(23260,plain,
% 28.35/18.87 (v114(constB163)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23259, 300, 23253])).
% 28.35/18.87 tff(23261,plain,
% 28.35/18.87 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB163) | (~v114(constB163)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB163) | (~v114(constB163)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23262,plain,
% 28.35/18.87 (((~v114(constB163)) | v113(constB163)) <=> (v113(constB163) | (~v114(constB163)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23263,plain,
% 28.35/18.87 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB163)) | v113(constB163))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB163) | (~v114(constB163))))),
% 28.35/18.87 inference(monotonicity,[status(thm)],[23262])).
% 28.35/18.87 tff(23264,plain,
% 28.35/18.87 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB163)) | v113(constB163))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB163) | (~v114(constB163)))),
% 28.35/18.87 inference(transitivity,[status(thm)],[23263, 23261])).
% 28.35/18.87 tff(23265,plain,
% 28.35/18.87 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB163)) | v113(constB163))),
% 28.35/18.87 inference(quant_inst,[status(thm)],[])).
% 28.35/18.87 tff(23266,plain,
% 28.35/18.87 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB163) | (~v114(constB163))),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23265, 23264])).
% 28.35/18.87 tff(23267,plain,
% 28.35/18.87 (v113(constB163)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23266, 314, 23260])).
% 28.35/18.87 tff(23268,assumption,(v26(constB163)), introduced(assumption)).
% 28.35/18.87 tff(23269,plain,
% 28.35/18.87 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB163))),
% 28.35/18.87 inference(quant_inst,[status(thm)],[])).
% 28.35/18.87 tff(23270,plain,
% 28.35/18.87 ($false),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23269, 95, 23268])).
% 28.35/18.87 tff(23271,plain,(~v26(constB163)), inference(lemma,lemma(discharge,[]))).
% 28.35/18.87 tff(23272,plain,
% 28.35/18.87 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | (~v113(constB163)) | v112(constB163))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23273,plain,
% 28.35/18.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))),
% 28.35/18.87 inference(quant_inst,[status(thm)],[])).
% 28.35/18.87 tff(23274,plain,
% 28.35/18.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | (~v113(constB163)) | v112(constB163)),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23273, 23272])).
% 28.35/18.87 tff(23275,plain,
% 28.35/18.87 ((~v113(constB163)) | v112(constB163)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23274, 328, 23271])).
% 28.35/18.87 tff(23276,plain,
% 28.35/18.87 (v112(constB163)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23275, 23267])).
% 28.35/18.87 tff(23277,plain,
% 28.35/18.87 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB163) | (~v112(constB163)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB163) | (~v112(constB163)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23278,plain,
% 28.35/18.87 (((~v112(constB163)) | v108(constB163)) <=> (v108(constB163) | (~v112(constB163)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23279,plain,
% 28.35/18.87 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB163)) | v108(constB163))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB163) | (~v112(constB163))))),
% 28.35/18.87 inference(monotonicity,[status(thm)],[23278])).
% 28.35/18.87 tff(23280,plain,
% 28.35/18.87 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB163)) | v108(constB163))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB163) | (~v112(constB163)))),
% 28.35/18.87 inference(transitivity,[status(thm)],[23279, 23277])).
% 28.35/18.87 tff(23281,plain,
% 28.35/18.87 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB163)) | v108(constB163))),
% 28.35/18.87 inference(quant_inst,[status(thm)],[])).
% 28.35/18.87 tff(23282,plain,
% 28.35/18.87 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB163) | (~v112(constB163))),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23281, 23280])).
% 28.35/18.87 tff(23283,plain,
% 28.35/18.87 (v108(constB163)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23282, 340, 23276])).
% 28.35/18.87 tff(23284,plain,
% 28.35/18.87 (nextState(constB163, constB164) <=> nextState(constB163, constB164)),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23285,axiom,(nextState(constB163, constB164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_163_1')).
% 28.35/18.87 tff(23286,plain,
% 28.35/18.87 (nextState(constB163, constB164)),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23285, 23284])).
% 28.35/18.87 tff(23287,plain,
% 28.35/18.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23288,plain,
% 28.35/18.87 (((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164)) <=> ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23289,plain,
% 28.35/18.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163))))),
% 28.35/18.87 inference(monotonicity,[status(thm)],[23288])).
% 28.35/18.87 tff(23290,plain,
% 28.35/18.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 28.35/18.87 inference(transitivity,[status(thm)],[23289, 23287])).
% 28.35/18.87 tff(23291,plain,
% 28.35/18.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))),
% 28.35/18.87 inference(quant_inst,[status(thm)],[])).
% 28.35/18.87 tff(23292,plain,
% 28.35/18.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163))),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23291, 23290])).
% 28.35/18.87 tff(23293,plain,
% 28.35/18.87 (v110(constB164) | (~v108(constB163))),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23292, 360, 23286])).
% 28.35/18.87 tff(23294,plain,
% 28.35/18.87 (v110(constB164)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23293, 23283])).
% 28.35/18.87 tff(23295,plain,
% 28.35/18.87 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23296,plain,
% 28.35/18.87 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))),
% 28.35/18.87 inference(quant_inst,[status(thm)],[])).
% 28.35/18.87 tff(23297,plain,
% 28.35/18.87 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164))),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23296, 23295])).
% 28.35/18.87 tff(23298,plain,
% 28.35/18.87 (~v104(constB164)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23297, 378, 23286, 23149])).
% 28.35/18.87 tff(23299,plain,
% 28.35/18.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23300,plain,
% 28.35/18.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))),
% 28.35/18.87 inference(quant_inst,[status(thm)],[])).
% 28.35/18.87 tff(23301,plain,
% 28.35/18.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB163, constB164)) | v102(constB164) | v104(constB164)),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23300, 23299])).
% 28.35/18.87 tff(23302,plain,
% 28.35/18.87 (v102(constB164) | v104(constB164)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23301, 392, 23286])).
% 28.35/18.87 tff(23303,plain,
% 28.35/18.87 (v102(constB164)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23302, 23298])).
% 28.35/18.87 tff(23304,plain,
% 28.35/18.87 (v1(constB164) <=> v1(constB164)),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23305,axiom,(v1(constB164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_164_1')).
% 28.35/18.87 tff(23306,plain,
% 28.35/18.87 (v1(constB164)),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23305, 23304])).
% 28.35/18.87 tff(23307,plain,
% 28.35/18.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23308,plain,
% 28.35/18.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))),
% 28.35/18.87 inference(quant_inst,[status(thm)],[])).
% 28.35/18.87 tff(23309,plain,
% 28.35/18.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164))),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23308, 23307])).
% 28.35/18.87 tff(23310,plain,
% 28.35/18.87 (v101(constB164) | (~v102(constB164))),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23309, 410, 23286, 23306])).
% 28.35/18.87 tff(23311,plain,
% 28.35/18.87 (v101(constB164)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23310, 23303])).
% 28.35/18.87 tff(23312,plain,
% 28.35/18.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23313,plain,
% 28.35/18.87 (((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164)) <=> ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23314,plain,
% 28.35/18.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164))))),
% 28.35/18.87 inference(monotonicity,[status(thm)],[23313])).
% 28.35/18.87 tff(23315,plain,
% 28.35/18.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 28.35/18.87 inference(transitivity,[status(thm)],[23314, 23312])).
% 28.35/18.87 tff(23316,plain,
% 28.35/18.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))),
% 28.35/18.87 inference(quant_inst,[status(thm)],[])).
% 28.35/18.87 tff(23317,plain,
% 28.35/18.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164))),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23316, 23315])).
% 28.35/18.87 tff(23318,plain,
% 28.35/18.87 (v100(constB164) | (~v101(constB164)) | (~v110(constB164))),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23317, 425, 23286])).
% 28.35/18.87 tff(23319,plain,
% 28.35/18.87 (v100(constB164) | (~v110(constB164))),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23318, 23311])).
% 28.35/18.87 tff(23320,plain,
% 28.35/18.87 (v100(constB164)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23319, 23294])).
% 28.35/18.87 tff(23321,plain,
% 28.35/18.87 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB163)) | v130(constB163, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB163)) | v130(constB163, 2))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23322,plain,
% 28.35/18.87 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB163)) | v130(constB163, 2))),
% 28.35/18.87 inference(quant_inst,[status(thm)],[])).
% 28.35/18.87 tff(23323,plain,
% 28.35/18.87 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB163)) | v130(constB163, 2)),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23322, 23321])).
% 28.35/18.87 tff(23324,plain,
% 28.35/18.87 (v130(constB163, 2)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23323, 1484, 23239])).
% 28.35/18.87 tff(23325,plain,
% 28.35/18.87 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB163) | (~v130(constB163, 2)) | v127(constB163, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB163) | (~v130(constB163, 2)) | v127(constB163, 2))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23326,plain,
% 28.35/18.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB163) | (~v130(constB163, 2)) | v127(constB163, 2))),
% 28.35/18.87 inference(quant_inst,[status(thm)],[])).
% 28.35/18.87 tff(23327,plain,
% 28.35/18.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB163) | (~v130(constB163, 2)) | v127(constB163, 2)),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23326, 23325])).
% 28.35/18.87 tff(23328,plain,
% 28.35/18.87 ((~v130(constB163, 2)) | v127(constB163, 2)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23327, 1498, 23271])).
% 28.35/18.87 tff(23329,plain,
% 28.35/18.87 (v127(constB163, 2)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23328, 23324])).
% 28.35/18.87 tff(23330,plain,
% 28.35/18.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB163, constB164)) | (~v127(constB163, 2)) | v129(constB164, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB163, constB164)) | (~v127(constB163, 2)) | v129(constB164, 2))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23331,plain,
% 28.35/18.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB163, constB164)) | (~v127(constB163, 2)) | v129(constB164, 2))),
% 28.35/18.87 inference(quant_inst,[status(thm)],[])).
% 28.35/18.87 tff(23332,plain,
% 28.35/18.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB163, constB164)) | (~v127(constB163, 2)) | v129(constB164, 2)),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23331, 23330])).
% 28.35/18.87 tff(23333,plain,
% 28.35/18.87 ((~v127(constB163, 2)) | v129(constB164, 2)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23332, 1513, 23286])).
% 28.35/18.87 tff(23334,plain,
% 28.35/18.87 (v129(constB164, 2)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23333, 23329])).
% 28.35/18.87 tff(23335,plain,
% 28.35/18.87 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB164, 2) | (~v129(constB164, 2)) | (~v100(constB164)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB164, 2) | (~v129(constB164, 2)) | (~v100(constB164)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23336,plain,
% 28.35/18.87 ((v90(constB164, 2) | (~v100(constB164)) | (~v129(constB164, 2))) <=> (v90(constB164, 2) | (~v129(constB164, 2)) | (~v100(constB164)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23337,plain,
% 28.35/18.87 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB164, 2) | (~v100(constB164)) | (~v129(constB164, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB164, 2) | (~v129(constB164, 2)) | (~v100(constB164))))),
% 28.35/18.87 inference(monotonicity,[status(thm)],[23336])).
% 28.35/18.87 tff(23338,plain,
% 28.35/18.87 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB164, 2) | (~v100(constB164)) | (~v129(constB164, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB164, 2) | (~v129(constB164, 2)) | (~v100(constB164)))),
% 28.35/18.87 inference(transitivity,[status(thm)],[23337, 23335])).
% 28.35/18.87 tff(23339,plain,
% 28.35/18.87 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB164, 2) | (~v100(constB164)) | (~v129(constB164, 2)))),
% 28.35/18.87 inference(quant_inst,[status(thm)],[])).
% 28.35/18.87 tff(23340,plain,
% 28.35/18.87 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB164, 2) | (~v129(constB164, 2)) | (~v100(constB164))),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23339, 23338])).
% 28.35/18.87 tff(23341,plain,
% 28.35/18.87 (v90(constB164, 2) | (~v100(constB164))),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23340, 1528, 23334])).
% 28.35/18.87 tff(23342,plain,
% 28.35/18.87 (v90(constB164, 2)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23341, 23320])).
% 28.35/18.87 tff(23343,plain,
% 28.35/18.87 ((~v1(constB165)) <=> (~v1(constB165))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23344,axiom,(~v1(constB165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_165_1_1')).
% 28.35/18.87 tff(23345,plain,
% 28.35/18.87 (~v1(constB165)),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23344, 23343])).
% 28.35/18.87 tff(23346,plain,
% 28.35/18.87 (nextState(constB164, constB165) <=> nextState(constB164, constB165)),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23347,axiom,(nextState(constB164, constB165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_164_1')).
% 28.35/18.87 tff(23348,plain,
% 28.35/18.87 (nextState(constB164, constB165)),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23347, 23346])).
% 28.35/18.87 tff(23349,plain,
% 28.35/18.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23350,plain,
% 28.35/18.87 (((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165)) <=> (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23351,plain,
% 28.35/18.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165))))),
% 28.35/18.87 inference(monotonicity,[status(thm)],[23350])).
% 28.35/18.87 tff(23352,plain,
% 28.35/18.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 28.35/18.87 inference(transitivity,[status(thm)],[23351, 23349])).
% 28.35/18.87 tff(23353,plain,
% 28.35/18.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))),
% 28.35/18.87 inference(quant_inst,[status(thm)],[])).
% 28.35/18.87 tff(23354,plain,
% 28.35/18.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165))),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23353, 23352])).
% 28.35/18.87 tff(23355,plain,
% 28.35/18.87 (~v101(constB165)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23354, 138, 23348, 23345])).
% 28.35/18.87 tff(23356,plain,
% 28.35/18.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23357,plain,
% 28.35/18.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))),
% 28.35/18.87 inference(quant_inst,[status(thm)],[])).
% 28.35/18.87 tff(23358,plain,
% 28.35/18.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165))),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23357, 23356])).
% 28.35/18.87 tff(23359,plain,
% 28.35/18.87 (v101(constB165) | (~v100(constB165))),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23358, 155, 23348])).
% 28.35/18.87 tff(23360,plain,
% 28.35/18.87 (~v100(constB165)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23359, 23355])).
% 28.35/18.87 tff(23361,plain,
% 28.35/18.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB164, 2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB164, 2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 2))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23362,plain,
% 28.35/18.87 (((~nextState(constB164, constB165)) | (~v90(constB164, 2)) | v100(constB165) | v90(constB165, 2)) <=> ((~v90(constB164, 2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 2))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23363,plain,
% 28.35/18.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, 2)) | v100(constB165) | v90(constB165, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB164, 2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 2)))),
% 28.35/18.87 inference(monotonicity,[status(thm)],[23362])).
% 28.35/18.87 tff(23364,plain,
% 28.35/18.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, 2)) | v100(constB165) | v90(constB165, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB164, 2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 2))),
% 28.35/18.87 inference(transitivity,[status(thm)],[23363, 23361])).
% 28.35/18.87 tff(23365,plain,
% 28.35/18.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, 2)) | v100(constB165) | v90(constB165, 2))),
% 28.35/18.87 inference(quant_inst,[status(thm)],[])).
% 28.35/18.87 tff(23366,plain,
% 28.35/18.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB164, 2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 2)),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23365, 23364])).
% 28.35/18.87 tff(23367,plain,
% 28.35/18.87 ((~v90(constB164, 2)) | v100(constB165) | v90(constB165, 2)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23366, 1546, 23348])).
% 28.35/18.87 tff(23368,plain,
% 28.35/18.87 ((~v90(constB164, 2)) | v90(constB165, 2)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23367, 23360])).
% 28.35/18.87 tff(23369,plain,
% 28.35/18.87 (v90(constB165, 2)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23368, 23342])).
% 28.35/18.87 tff(23370,plain,
% 28.35/18.87 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB163)) | (~v130(constB163, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB163)) | (~v130(constB163, 1)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23371,plain,
% 28.35/18.87 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB163)) | (~v130(constB163, 1)))),
% 28.35/18.87 inference(quant_inst,[status(thm)],[])).
% 28.35/18.87 tff(23372,plain,
% 28.35/18.87 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB163)) | (~v130(constB163, 1))),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23371, 23370])).
% 28.35/18.87 tff(23373,plain,
% 28.35/18.87 (~v130(constB163, 1)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23372, 1424, 23239])).
% 28.35/18.87 tff(23374,plain,
% 28.35/18.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB163, 1)) | v26(constB163) | v130(constB163, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB163, 1)) | v26(constB163) | v130(constB163, 1))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23375,plain,
% 28.35/18.87 ((v26(constB163) | v130(constB163, 1) | (~v127(constB163, 1))) <=> ((~v127(constB163, 1)) | v26(constB163) | v130(constB163, 1))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23376,plain,
% 28.35/18.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB163) | v130(constB163, 1) | (~v127(constB163, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB163, 1)) | v26(constB163) | v130(constB163, 1)))),
% 28.35/18.87 inference(monotonicity,[status(thm)],[23375])).
% 28.35/18.87 tff(23377,plain,
% 28.35/18.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB163) | v130(constB163, 1) | (~v127(constB163, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB163, 1)) | v26(constB163) | v130(constB163, 1))),
% 28.35/18.87 inference(transitivity,[status(thm)],[23376, 23374])).
% 28.35/18.87 tff(23378,plain,
% 28.35/18.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB163) | v130(constB163, 1) | (~v127(constB163, 1)))),
% 28.35/18.87 inference(quant_inst,[status(thm)],[])).
% 28.35/18.87 tff(23379,plain,
% 28.35/18.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB163, 1)) | v26(constB163) | v130(constB163, 1)),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23378, 23377])).
% 28.35/18.87 tff(23380,plain,
% 28.35/18.87 ((~v127(constB163, 1)) | v130(constB163, 1)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23379, 541, 23271])).
% 28.35/18.87 tff(23381,plain,
% 28.35/18.87 (~v127(constB163, 1)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23380, 23373])).
% 28.35/18.87 tff(23382,plain,
% 28.35/18.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB163, constB164)) | v127(constB163, 1) | (~v129(constB164, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB163, constB164)) | v127(constB163, 1) | (~v129(constB164, 1)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23383,plain,
% 28.35/18.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB163, constB164)) | v127(constB163, 1) | (~v129(constB164, 1)))),
% 28.35/18.87 inference(quant_inst,[status(thm)],[])).
% 28.35/18.87 tff(23384,plain,
% 28.35/18.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB163, constB164)) | v127(constB163, 1) | (~v129(constB164, 1))),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23383, 23382])).
% 28.35/18.87 tff(23385,plain,
% 28.35/18.87 (v127(constB163, 1) | (~v129(constB164, 1))),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23384, 559, 23286])).
% 28.35/18.87 tff(23386,plain,
% 28.35/18.87 (~v129(constB164, 1)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23385, 23381])).
% 28.35/18.87 tff(23387,plain,
% 28.35/18.87 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB164, 1)) | v129(constB164, 1) | (~v100(constB164)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB164, 1)) | v129(constB164, 1) | (~v100(constB164)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23388,plain,
% 28.35/18.87 (((~v90(constB164, 1)) | (~v100(constB164)) | v129(constB164, 1)) <=> ((~v90(constB164, 1)) | v129(constB164, 1) | (~v100(constB164)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23389,plain,
% 28.35/18.87 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB164, 1)) | (~v100(constB164)) | v129(constB164, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB164, 1)) | v129(constB164, 1) | (~v100(constB164))))),
% 28.35/18.87 inference(monotonicity,[status(thm)],[23388])).
% 28.35/18.87 tff(23390,plain,
% 28.35/18.87 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB164, 1)) | (~v100(constB164)) | v129(constB164, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB164, 1)) | v129(constB164, 1) | (~v100(constB164)))),
% 28.35/18.87 inference(transitivity,[status(thm)],[23389, 23387])).
% 28.35/18.87 tff(23391,plain,
% 28.35/18.87 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB164, 1)) | (~v100(constB164)) | v129(constB164, 1))),
% 28.35/18.87 inference(quant_inst,[status(thm)],[])).
% 28.35/18.87 tff(23392,plain,
% 28.35/18.87 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB164, 1)) | v129(constB164, 1) | (~v100(constB164))),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23391, 23390])).
% 28.35/18.87 tff(23393,plain,
% 28.35/18.87 ((~v90(constB164, 1)) | (~v100(constB164))),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23392, 574, 23386])).
% 28.35/18.87 tff(23394,plain,
% 28.35/18.87 (~v90(constB164, 1)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23393, 23320])).
% 28.35/18.87 tff(23395,plain,
% 28.35/18.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB164, 1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB164, 1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 1)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23396,plain,
% 28.35/18.87 (((~nextState(constB164, constB165)) | v90(constB164, 1) | v100(constB165) | (~v90(constB165, 1))) <=> (v90(constB164, 1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 1)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23397,plain,
% 28.35/18.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB164, constB165)) | v90(constB164, 1) | v100(constB165) | (~v90(constB165, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB164, 1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 1))))),
% 28.35/18.87 inference(monotonicity,[status(thm)],[23396])).
% 28.35/18.87 tff(23398,plain,
% 28.35/18.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB164, constB165)) | v90(constB164, 1) | v100(constB165) | (~v90(constB165, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB164, 1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 1)))),
% 28.35/18.87 inference(transitivity,[status(thm)],[23397, 23395])).
% 28.35/18.87 tff(23399,plain,
% 28.35/18.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB164, constB165)) | v90(constB164, 1) | v100(constB165) | (~v90(constB165, 1)))),
% 28.35/18.87 inference(quant_inst,[status(thm)],[])).
% 28.35/18.87 tff(23400,plain,
% 28.35/18.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB164, 1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 1))),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23399, 23398])).
% 28.35/18.87 tff(23401,plain,
% 28.35/18.87 (v90(constB164, 1) | v100(constB165) | (~v90(constB165, 1))),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23400, 191, 23348])).
% 28.35/18.87 tff(23402,plain,
% 28.35/18.87 (v90(constB164, 1) | (~v90(constB165, 1))),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23401, 23360])).
% 28.35/18.87 tff(23403,plain,
% 28.35/18.87 (~v90(constB165, 1)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23402, 23394])).
% 28.35/18.87 tff(23404,plain,
% 28.35/18.87 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB163)) | (~v130(constB163, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB163)) | (~v130(constB163, 0)))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23405,plain,
% 28.35/18.87 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB163)) | (~v130(constB163, 0)))),
% 28.35/18.87 inference(quant_inst,[status(thm)],[])).
% 28.35/18.87 tff(23406,plain,
% 28.35/18.87 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB163)) | (~v130(constB163, 0))),
% 28.35/18.87 inference(modus_ponens,[status(thm)],[23405, 23404])).
% 28.35/18.87 tff(23407,plain,
% 28.35/18.87 (~v130(constB163, 0)),
% 28.35/18.87 inference(unit_resolution,[status(thm)],[23406, 1351, 23239])).
% 28.35/18.87 tff(23408,plain,
% 28.35/18.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB163, 0)) | v26(constB163) | v130(constB163, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB163, 0)) | v26(constB163) | v130(constB163, 0))),
% 28.35/18.87 inference(rewrite,[status(thm)],[])).
% 28.35/18.87 tff(23409,plain,
% 28.35/18.87 ((v26(constB163) | v130(constB163, 0) | (~v127(constB163, 0))) <=> ((~v127(constB163, 0)) | v26(constB163) | v130(constB163, 0))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23410,plain,
% 28.35/18.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB163) | v130(constB163, 0) | (~v127(constB163, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB163, 0)) | v26(constB163) | v130(constB163, 0)))),
% 28.35/18.88 inference(monotonicity,[status(thm)],[23409])).
% 28.35/18.88 tff(23411,plain,
% 28.35/18.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB163) | v130(constB163, 0) | (~v127(constB163, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB163, 0)) | v26(constB163) | v130(constB163, 0))),
% 28.35/18.88 inference(transitivity,[status(thm)],[23410, 23408])).
% 28.35/18.88 tff(23412,plain,
% 28.35/18.88 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB163) | v130(constB163, 0) | (~v127(constB163, 0)))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23413,plain,
% 28.35/18.88 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB163, 0)) | v26(constB163) | v130(constB163, 0)),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23412, 23411])).
% 28.35/18.88 tff(23414,plain,
% 28.35/18.88 ((~v127(constB163, 0)) | v130(constB163, 0)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23413, 933, 23271])).
% 28.35/18.88 tff(23415,plain,
% 28.35/18.88 (~v127(constB163, 0)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23414, 23407])).
% 28.35/18.88 tff(23416,plain,
% 28.35/18.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB163, constB164)) | v127(constB163, 0) | (~v129(constB164, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB163, constB164)) | v127(constB163, 0) | (~v129(constB164, 0)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23417,plain,
% 28.35/18.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB163, constB164)) | v127(constB163, 0) | (~v129(constB164, 0)))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23418,plain,
% 28.35/18.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB163, constB164)) | v127(constB163, 0) | (~v129(constB164, 0))),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23417, 23416])).
% 28.35/18.88 tff(23419,plain,
% 28.35/18.88 (v127(constB163, 0) | (~v129(constB164, 0))),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23418, 951, 23286])).
% 28.35/18.88 tff(23420,plain,
% 28.35/18.88 (~v129(constB164, 0)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23419, 23415])).
% 28.35/18.88 tff(23421,plain,
% 28.35/18.88 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB164, 0)) | v129(constB164, 0) | (~v100(constB164)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB164, 0)) | v129(constB164, 0) | (~v100(constB164)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23422,plain,
% 28.35/18.88 (((~v90(constB164, 0)) | (~v100(constB164)) | v129(constB164, 0)) <=> ((~v90(constB164, 0)) | v129(constB164, 0) | (~v100(constB164)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23423,plain,
% 28.35/18.88 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB164, 0)) | (~v100(constB164)) | v129(constB164, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB164, 0)) | v129(constB164, 0) | (~v100(constB164))))),
% 28.35/18.88 inference(monotonicity,[status(thm)],[23422])).
% 28.35/18.88 tff(23424,plain,
% 28.35/18.88 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB164, 0)) | (~v100(constB164)) | v129(constB164, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB164, 0)) | v129(constB164, 0) | (~v100(constB164)))),
% 28.35/18.88 inference(transitivity,[status(thm)],[23423, 23421])).
% 28.35/18.88 tff(23425,plain,
% 28.35/18.88 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB164, 0)) | (~v100(constB164)) | v129(constB164, 0))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23426,plain,
% 28.35/18.88 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB164, 0)) | v129(constB164, 0) | (~v100(constB164))),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23425, 23424])).
% 28.35/18.88 tff(23427,plain,
% 28.35/18.88 ((~v90(constB164, 0)) | (~v100(constB164))),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23426, 966, 23420])).
% 28.35/18.88 tff(23428,plain,
% 28.35/18.88 (~v90(constB164, 0)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23427, 23320])).
% 28.35/18.88 tff(23429,plain,
% 28.35/18.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB164, 0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB164, 0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 0)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23430,plain,
% 28.35/18.88 (((~nextState(constB164, constB165)) | v90(constB164, 0) | v100(constB165) | (~v90(constB165, 0))) <=> (v90(constB164, 0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 0)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23431,plain,
% 28.35/18.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB164, constB165)) | v90(constB164, 0) | v100(constB165) | (~v90(constB165, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB164, 0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 0))))),
% 28.35/18.88 inference(monotonicity,[status(thm)],[23430])).
% 28.35/18.88 tff(23432,plain,
% 28.35/18.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB164, constB165)) | v90(constB164, 0) | v100(constB165) | (~v90(constB165, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB164, 0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 0)))),
% 28.35/18.88 inference(transitivity,[status(thm)],[23431, 23429])).
% 28.35/18.88 tff(23433,plain,
% 28.35/18.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB164, constB165)) | v90(constB164, 0) | v100(constB165) | (~v90(constB165, 0)))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23434,plain,
% 28.35/18.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB164, 0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 0))),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23433, 23432])).
% 28.35/18.88 tff(23435,plain,
% 28.35/18.88 (v90(constB164, 0) | v100(constB165) | (~v90(constB165, 0))),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23434, 212, 23348])).
% 28.35/18.88 tff(23436,plain,
% 28.35/18.88 (v90(constB164, 0) | (~v90(constB165, 0))),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23435, 23360])).
% 28.35/18.88 tff(23437,plain,
% 28.35/18.88 (~v90(constB165, 0)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23436, 23428])).
% 28.35/18.88 tff(23438,plain,
% 28.35/18.88 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB165, 0) | v90(constB165, 1) | (~v90(constB165, 2)) | v123(constB165))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB165, 0) | v90(constB165, 1) | (~v90(constB165, 2)) | v123(constB165))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23439,plain,
% 28.35/18.88 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB165, 0) | v90(constB165, 1) | (~v90(constB165, 2)) | v123(constB165))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23440,plain,
% 28.35/18.88 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB165, 0) | v90(constB165, 1) | (~v90(constB165, 2)) | v123(constB165)),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23439, 23438])).
% 28.35/18.88 tff(23441,plain,
% 28.35/18.88 (v123(constB165)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23440, 1565, 23437, 23403, 23369])).
% 28.35/18.88 tff(23442,plain,
% 28.35/18.88 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB165)) | v115(constB165))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB165)) | v115(constB165))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23443,plain,
% 28.35/18.88 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB165)) | v115(constB165))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23444,plain,
% 28.35/18.88 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB165)) | v115(constB165)),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23443, 23442])).
% 28.35/18.88 tff(23445,plain,
% 28.35/18.88 (v115(constB165)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23444, 1579, 23441])).
% 28.35/18.88 tff(23446,plain,
% 28.35/18.88 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB165) | (~v115(constB165)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB165) | (~v115(constB165)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23447,plain,
% 28.35/18.88 (((~v115(constB165)) | v114(constB165)) <=> (v114(constB165) | (~v115(constB165)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23448,plain,
% 28.35/18.88 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB165)) | v114(constB165))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB165) | (~v115(constB165))))),
% 28.35/18.88 inference(monotonicity,[status(thm)],[23447])).
% 28.35/18.88 tff(23449,plain,
% 28.35/18.88 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB165)) | v114(constB165))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB165) | (~v115(constB165)))),
% 28.35/18.88 inference(transitivity,[status(thm)],[23448, 23446])).
% 28.35/18.88 tff(23450,plain,
% 28.35/18.88 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB165)) | v114(constB165))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23451,plain,
% 28.35/18.88 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB165) | (~v115(constB165))),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23450, 23449])).
% 28.35/18.88 tff(23452,plain,
% 28.35/18.88 (v114(constB165)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23451, 300, 23445])).
% 28.35/18.88 tff(23453,plain,
% 28.35/18.88 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB165) | (~v114(constB165)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB165) | (~v114(constB165)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23454,plain,
% 28.35/18.88 (((~v114(constB165)) | v113(constB165)) <=> (v113(constB165) | (~v114(constB165)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23455,plain,
% 28.35/18.88 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB165)) | v113(constB165))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB165) | (~v114(constB165))))),
% 28.35/18.88 inference(monotonicity,[status(thm)],[23454])).
% 28.35/18.88 tff(23456,plain,
% 28.35/18.88 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB165)) | v113(constB165))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB165) | (~v114(constB165)))),
% 28.35/18.88 inference(transitivity,[status(thm)],[23455, 23453])).
% 28.35/18.88 tff(23457,plain,
% 28.35/18.88 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB165)) | v113(constB165))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23458,plain,
% 28.35/18.88 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB165) | (~v114(constB165))),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23457, 23456])).
% 28.35/18.88 tff(23459,plain,
% 28.35/18.88 (v113(constB165)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23458, 314, 23452])).
% 28.35/18.88 tff(23460,assumption,(v26(constB165)), introduced(assumption)).
% 28.35/18.88 tff(23461,plain,
% 28.35/18.88 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB165))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23462,plain,
% 28.35/18.88 ($false),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23461, 95, 23460])).
% 28.35/18.88 tff(23463,plain,(~v26(constB165)), inference(lemma,lemma(discharge,[]))).
% 28.35/18.88 tff(23464,plain,
% 28.35/18.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | (~v113(constB165)) | v112(constB165))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23465,plain,
% 28.35/18.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23466,plain,
% 28.35/18.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | (~v113(constB165)) | v112(constB165)),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23465, 23464])).
% 28.35/18.88 tff(23467,plain,
% 28.35/18.88 ((~v113(constB165)) | v112(constB165)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23466, 328, 23463])).
% 28.35/18.88 tff(23468,plain,
% 28.35/18.88 (v112(constB165)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23467, 23459])).
% 28.35/18.88 tff(23469,plain,
% 28.35/18.88 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB165) | (~v112(constB165)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB165) | (~v112(constB165)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23470,plain,
% 28.35/18.88 (((~v112(constB165)) | v108(constB165)) <=> (v108(constB165) | (~v112(constB165)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23471,plain,
% 28.35/18.88 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB165)) | v108(constB165))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB165) | (~v112(constB165))))),
% 28.35/18.88 inference(monotonicity,[status(thm)],[23470])).
% 28.35/18.88 tff(23472,plain,
% 28.35/18.88 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB165)) | v108(constB165))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB165) | (~v112(constB165)))),
% 28.35/18.88 inference(transitivity,[status(thm)],[23471, 23469])).
% 28.35/18.88 tff(23473,plain,
% 28.35/18.88 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB165)) | v108(constB165))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23474,plain,
% 28.35/18.88 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB165) | (~v112(constB165))),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23473, 23472])).
% 28.35/18.88 tff(23475,plain,
% 28.35/18.88 (v108(constB165)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23474, 340, 23468])).
% 28.35/18.88 tff(23476,plain,
% 28.35/18.88 (nextState(constB165, constB166) <=> nextState(constB165, constB166)),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23477,axiom,(nextState(constB165, constB166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_165_1')).
% 28.35/18.88 tff(23478,plain,
% 28.35/18.88 (nextState(constB165, constB166)),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23477, 23476])).
% 28.35/18.88 tff(23479,plain,
% 28.35/18.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23480,plain,
% 28.35/18.88 (((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166)) <=> ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23481,plain,
% 28.35/18.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165))))),
% 28.35/18.88 inference(monotonicity,[status(thm)],[23480])).
% 28.35/18.88 tff(23482,plain,
% 28.35/18.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 28.35/18.88 inference(transitivity,[status(thm)],[23481, 23479])).
% 28.35/18.88 tff(23483,plain,
% 28.35/18.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23484,plain,
% 28.35/18.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165))),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23483, 23482])).
% 28.35/18.88 tff(23485,plain,
% 28.35/18.88 (v110(constB166) | (~v108(constB165))),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23484, 360, 23478])).
% 28.35/18.88 tff(23486,plain,
% 28.35/18.88 (v110(constB166)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23485, 23475])).
% 28.35/18.88 tff(23487,plain,
% 28.35/18.88 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23488,plain,
% 28.35/18.88 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23489,plain,
% 28.35/18.88 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166))),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23488, 23487])).
% 28.35/18.88 tff(23490,plain,
% 28.35/18.88 (~v104(constB166)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23489, 378, 23478, 23345])).
% 28.35/18.88 tff(23491,plain,
% 28.35/18.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23492,plain,
% 28.35/18.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23493,plain,
% 28.35/18.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB165, constB166)) | v102(constB166) | v104(constB166)),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23492, 23491])).
% 28.35/18.88 tff(23494,plain,
% 28.35/18.88 (v102(constB166) | v104(constB166)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23493, 392, 23478])).
% 28.35/18.88 tff(23495,plain,
% 28.35/18.88 (v102(constB166)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23494, 23490])).
% 28.35/18.88 tff(23496,plain,
% 28.35/18.88 (v1(constB166) <=> v1(constB166)),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23497,axiom,(v1(constB166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_166_1')).
% 28.35/18.88 tff(23498,plain,
% 28.35/18.88 (v1(constB166)),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23497, 23496])).
% 28.35/18.88 tff(23499,plain,
% 28.35/18.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23500,plain,
% 28.35/18.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23501,plain,
% 28.35/18.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166))),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23500, 23499])).
% 28.35/18.88 tff(23502,plain,
% 28.35/18.88 (v101(constB166) | (~v102(constB166))),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23501, 410, 23478, 23498])).
% 28.35/18.88 tff(23503,plain,
% 28.35/18.88 (v101(constB166)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23502, 23495])).
% 28.35/18.88 tff(23504,plain,
% 28.35/18.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23505,plain,
% 28.35/18.88 (((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166)) <=> ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23506,plain,
% 28.35/18.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166))))),
% 28.35/18.88 inference(monotonicity,[status(thm)],[23505])).
% 28.35/18.88 tff(23507,plain,
% 28.35/18.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 28.35/18.88 inference(transitivity,[status(thm)],[23506, 23504])).
% 28.35/18.88 tff(23508,plain,
% 28.35/18.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23509,plain,
% 28.35/18.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166))),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23508, 23507])).
% 28.35/18.88 tff(23510,plain,
% 28.35/18.88 (v100(constB166) | (~v101(constB166)) | (~v110(constB166))),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23509, 425, 23478])).
% 28.35/18.88 tff(23511,plain,
% 28.35/18.88 (v100(constB166) | (~v110(constB166))),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23510, 23503])).
% 28.35/18.88 tff(23512,plain,
% 28.35/18.88 (v100(constB166)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23511, 23486])).
% 28.35/18.88 tff(23513,plain,
% 28.35/18.88 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB165)) | v130(constB165, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB165)) | v130(constB165, 2))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23514,plain,
% 28.35/18.88 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB165)) | v130(constB165, 2))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23515,plain,
% 28.35/18.88 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB165)) | v130(constB165, 2)),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23514, 23513])).
% 28.35/18.88 tff(23516,plain,
% 28.35/18.88 (v130(constB165, 2)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23515, 1656, 23441])).
% 28.35/18.88 tff(23517,plain,
% 28.35/18.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB165) | (~v130(constB165, 2)) | v127(constB165, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB165) | (~v130(constB165, 2)) | v127(constB165, 2))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23518,plain,
% 28.35/18.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB165) | (~v130(constB165, 2)) | v127(constB165, 2))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23519,plain,
% 28.35/18.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB165) | (~v130(constB165, 2)) | v127(constB165, 2)),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23518, 23517])).
% 28.35/18.88 tff(23520,plain,
% 28.35/18.88 ((~v130(constB165, 2)) | v127(constB165, 2)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23519, 1498, 23463])).
% 28.35/18.88 tff(23521,plain,
% 28.35/18.88 (v127(constB165, 2)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23520, 23516])).
% 28.35/18.88 tff(23522,plain,
% 28.35/18.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB165, constB166)) | (~v127(constB165, 2)) | v129(constB166, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB165, constB166)) | (~v127(constB165, 2)) | v129(constB166, 2))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23523,plain,
% 28.35/18.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB165, constB166)) | (~v127(constB165, 2)) | v129(constB166, 2))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23524,plain,
% 28.35/18.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB165, constB166)) | (~v127(constB165, 2)) | v129(constB166, 2)),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23523, 23522])).
% 28.35/18.88 tff(23525,plain,
% 28.35/18.88 ((~v127(constB165, 2)) | v129(constB166, 2)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23524, 1513, 23478])).
% 28.35/18.88 tff(23526,plain,
% 28.35/18.88 (v129(constB166, 2)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23525, 23521])).
% 28.35/18.88 tff(23527,plain,
% 28.35/18.88 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB166, 2) | (~v129(constB166, 2)) | (~v100(constB166)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB166, 2) | (~v129(constB166, 2)) | (~v100(constB166)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23528,plain,
% 28.35/18.88 ((v90(constB166, 2) | (~v100(constB166)) | (~v129(constB166, 2))) <=> (v90(constB166, 2) | (~v129(constB166, 2)) | (~v100(constB166)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23529,plain,
% 28.35/18.88 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB166, 2) | (~v100(constB166)) | (~v129(constB166, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB166, 2) | (~v129(constB166, 2)) | (~v100(constB166))))),
% 28.35/18.88 inference(monotonicity,[status(thm)],[23528])).
% 28.35/18.88 tff(23530,plain,
% 28.35/18.88 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB166, 2) | (~v100(constB166)) | (~v129(constB166, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB166, 2) | (~v129(constB166, 2)) | (~v100(constB166)))),
% 28.35/18.88 inference(transitivity,[status(thm)],[23529, 23527])).
% 28.35/18.88 tff(23531,plain,
% 28.35/18.88 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB166, 2) | (~v100(constB166)) | (~v129(constB166, 2)))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23532,plain,
% 28.35/18.88 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB166, 2) | (~v129(constB166, 2)) | (~v100(constB166))),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23531, 23530])).
% 28.35/18.88 tff(23533,plain,
% 28.35/18.88 (v90(constB166, 2) | (~v100(constB166))),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23532, 1528, 23526])).
% 28.35/18.88 tff(23534,plain,
% 28.35/18.88 (v90(constB166, 2)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23533, 23512])).
% 28.35/18.88 tff(23535,plain,
% 28.35/18.88 ((~v1(constB167)) <=> (~v1(constB167))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23536,axiom,(~v1(constB167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_167_1_1')).
% 28.35/18.88 tff(23537,plain,
% 28.35/18.88 (~v1(constB167)),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23536, 23535])).
% 28.35/18.88 tff(23538,plain,
% 28.35/18.88 (nextState(constB166, constB167) <=> nextState(constB166, constB167)),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23539,axiom,(nextState(constB166, constB167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_166_1')).
% 28.35/18.88 tff(23540,plain,
% 28.35/18.88 (nextState(constB166, constB167)),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23539, 23538])).
% 28.35/18.88 tff(23541,plain,
% 28.35/18.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23542,plain,
% 28.35/18.88 (((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167)) <=> (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23543,plain,
% 28.35/18.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167))))),
% 28.35/18.88 inference(monotonicity,[status(thm)],[23542])).
% 28.35/18.88 tff(23544,plain,
% 28.35/18.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 28.35/18.88 inference(transitivity,[status(thm)],[23543, 23541])).
% 28.35/18.88 tff(23545,plain,
% 28.35/18.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23546,plain,
% 28.35/18.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167))),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23545, 23544])).
% 28.35/18.88 tff(23547,plain,
% 28.35/18.88 (~v101(constB167)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23546, 138, 23540, 23537])).
% 28.35/18.88 tff(23548,plain,
% 28.35/18.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23549,plain,
% 28.35/18.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23550,plain,
% 28.35/18.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167))),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23549, 23548])).
% 28.35/18.88 tff(23551,plain,
% 28.35/18.88 (v101(constB167) | (~v100(constB167))),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23550, 155, 23540])).
% 28.35/18.88 tff(23552,plain,
% 28.35/18.88 (~v100(constB167)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23551, 23547])).
% 28.35/18.88 tff(23553,plain,
% 28.35/18.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB166, 2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB166, 2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 2))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23554,plain,
% 28.35/18.88 (((~nextState(constB166, constB167)) | (~v90(constB166, 2)) | v100(constB167) | v90(constB167, 2)) <=> ((~v90(constB166, 2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 2))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23555,plain,
% 28.35/18.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB166, constB167)) | (~v90(constB166, 2)) | v100(constB167) | v90(constB167, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB166, 2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 2)))),
% 28.35/18.88 inference(monotonicity,[status(thm)],[23554])).
% 28.35/18.88 tff(23556,plain,
% 28.35/18.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB166, constB167)) | (~v90(constB166, 2)) | v100(constB167) | v90(constB167, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB166, 2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 2))),
% 28.35/18.88 inference(transitivity,[status(thm)],[23555, 23553])).
% 28.35/18.88 tff(23557,plain,
% 28.35/18.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB166, constB167)) | (~v90(constB166, 2)) | v100(constB167) | v90(constB167, 2))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23558,plain,
% 28.35/18.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB166, 2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 2)),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23557, 23556])).
% 28.35/18.88 tff(23559,plain,
% 28.35/18.88 ((~v90(constB166, 2)) | v100(constB167) | v90(constB167, 2)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23558, 1546, 23540])).
% 28.35/18.88 tff(23560,plain,
% 28.35/18.88 ((~v90(constB166, 2)) | v90(constB167, 2)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23559, 23552])).
% 28.35/18.88 tff(23561,plain,
% 28.35/18.88 (v90(constB167, 2)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23560, 23534])).
% 28.35/18.88 tff(23562,plain,
% 28.35/18.88 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB165)) | (~v130(constB165, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB165)) | (~v130(constB165, 1)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23563,plain,
% 28.35/18.88 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB165)) | (~v130(constB165, 1)))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23564,plain,
% 28.35/18.88 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB165)) | (~v130(constB165, 1))),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23563, 23562])).
% 28.35/18.88 tff(23565,plain,
% 28.35/18.88 (~v130(constB165, 1)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23564, 1712, 23441])).
% 28.35/18.88 tff(23566,plain,
% 28.35/18.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB165, 1)) | v26(constB165) | v130(constB165, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB165, 1)) | v26(constB165) | v130(constB165, 1))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23567,plain,
% 28.35/18.88 ((v26(constB165) | v130(constB165, 1) | (~v127(constB165, 1))) <=> ((~v127(constB165, 1)) | v26(constB165) | v130(constB165, 1))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23568,plain,
% 28.35/18.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB165) | v130(constB165, 1) | (~v127(constB165, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB165, 1)) | v26(constB165) | v130(constB165, 1)))),
% 28.35/18.88 inference(monotonicity,[status(thm)],[23567])).
% 28.35/18.88 tff(23569,plain,
% 28.35/18.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB165) | v130(constB165, 1) | (~v127(constB165, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB165, 1)) | v26(constB165) | v130(constB165, 1))),
% 28.35/18.88 inference(transitivity,[status(thm)],[23568, 23566])).
% 28.35/18.88 tff(23570,plain,
% 28.35/18.88 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB165) | v130(constB165, 1) | (~v127(constB165, 1)))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23571,plain,
% 28.35/18.88 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB165, 1)) | v26(constB165) | v130(constB165, 1)),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23570, 23569])).
% 28.35/18.88 tff(23572,plain,
% 28.35/18.88 ((~v127(constB165, 1)) | v130(constB165, 1)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23571, 541, 23463])).
% 28.35/18.88 tff(23573,plain,
% 28.35/18.88 (~v127(constB165, 1)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23572, 23565])).
% 28.35/18.88 tff(23574,plain,
% 28.35/18.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB165, constB166)) | v127(constB165, 1) | (~v129(constB166, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB165, constB166)) | v127(constB165, 1) | (~v129(constB166, 1)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23575,plain,
% 28.35/18.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB165, constB166)) | v127(constB165, 1) | (~v129(constB166, 1)))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23576,plain,
% 28.35/18.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB165, constB166)) | v127(constB165, 1) | (~v129(constB166, 1))),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23575, 23574])).
% 28.35/18.88 tff(23577,plain,
% 28.35/18.88 (v127(constB165, 1) | (~v129(constB166, 1))),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23576, 559, 23478])).
% 28.35/18.88 tff(23578,plain,
% 28.35/18.88 (~v129(constB166, 1)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23577, 23573])).
% 28.35/18.88 tff(23579,plain,
% 28.35/18.88 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB166, 1)) | v129(constB166, 1) | (~v100(constB166)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB166, 1)) | v129(constB166, 1) | (~v100(constB166)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23580,plain,
% 28.35/18.88 (((~v90(constB166, 1)) | (~v100(constB166)) | v129(constB166, 1)) <=> ((~v90(constB166, 1)) | v129(constB166, 1) | (~v100(constB166)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23581,plain,
% 28.35/18.88 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB166, 1)) | (~v100(constB166)) | v129(constB166, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB166, 1)) | v129(constB166, 1) | (~v100(constB166))))),
% 28.35/18.88 inference(monotonicity,[status(thm)],[23580])).
% 28.35/18.88 tff(23582,plain,
% 28.35/18.88 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB166, 1)) | (~v100(constB166)) | v129(constB166, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB166, 1)) | v129(constB166, 1) | (~v100(constB166)))),
% 28.35/18.88 inference(transitivity,[status(thm)],[23581, 23579])).
% 28.35/18.88 tff(23583,plain,
% 28.35/18.88 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB166, 1)) | (~v100(constB166)) | v129(constB166, 1))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23584,plain,
% 28.35/18.88 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB166, 1)) | v129(constB166, 1) | (~v100(constB166))),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23583, 23582])).
% 28.35/18.88 tff(23585,plain,
% 28.35/18.88 ((~v90(constB166, 1)) | (~v100(constB166))),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23584, 574, 23578])).
% 28.35/18.88 tff(23586,plain,
% 28.35/18.88 (~v90(constB166, 1)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23585, 23512])).
% 28.35/18.88 tff(23587,plain,
% 28.35/18.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB166, 1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB166, 1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 1)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23588,plain,
% 28.35/18.88 (((~nextState(constB166, constB167)) | v90(constB166, 1) | v100(constB167) | (~v90(constB167, 1))) <=> (v90(constB166, 1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 1)))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23589,plain,
% 28.35/18.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB166, constB167)) | v90(constB166, 1) | v100(constB167) | (~v90(constB167, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB166, 1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 1))))),
% 28.35/18.88 inference(monotonicity,[status(thm)],[23588])).
% 28.35/18.88 tff(23590,plain,
% 28.35/18.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB166, constB167)) | v90(constB166, 1) | v100(constB167) | (~v90(constB167, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB166, 1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 1)))),
% 28.35/18.88 inference(transitivity,[status(thm)],[23589, 23587])).
% 28.35/18.88 tff(23591,plain,
% 28.35/18.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB166, constB167)) | v90(constB166, 1) | v100(constB167) | (~v90(constB167, 1)))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23592,plain,
% 28.35/18.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB166, 1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 1))),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23591, 23590])).
% 28.35/18.88 tff(23593,plain,
% 28.35/18.88 (v90(constB166, 1) | v100(constB167) | (~v90(constB167, 1))),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23592, 191, 23540])).
% 28.35/18.88 tff(23594,plain,
% 28.35/18.88 (v90(constB166, 1) | (~v90(constB167, 1))),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23593, 23552])).
% 28.35/18.88 tff(23595,plain,
% 28.35/18.88 (~v90(constB167, 1)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23594, 23586])).
% 28.35/18.88 tff(23596,plain,
% 28.35/18.88 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB165)) | v130(constB165, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB165)) | v130(constB165, 0))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23597,plain,
% 28.35/18.88 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB165)) | v130(constB165, 0))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23598,plain,
% 28.35/18.88 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB165)) | v130(constB165, 0)),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23597, 23596])).
% 28.35/18.88 tff(23599,plain,
% 28.35/18.88 (v130(constB165, 0)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23598, 1753, 23441])).
% 28.35/18.88 tff(23600,plain,
% 28.35/18.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB165) | (~v130(constB165, 0)) | v127(constB165, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB165) | (~v130(constB165, 0)) | v127(constB165, 0))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23601,plain,
% 28.35/18.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB165) | (~v130(constB165, 0)) | v127(constB165, 0))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23602,plain,
% 28.35/18.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB165) | (~v130(constB165, 0)) | v127(constB165, 0)),
% 28.35/18.88 inference(modus_ponens,[status(thm)],[23601, 23600])).
% 28.35/18.88 tff(23603,plain,
% 28.35/18.88 ((~v130(constB165, 0)) | v127(constB165, 0)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23602, 612, 23463])).
% 28.35/18.88 tff(23604,plain,
% 28.35/18.88 (v127(constB165, 0)),
% 28.35/18.88 inference(unit_resolution,[status(thm)],[23603, 23599])).
% 28.35/18.88 tff(23605,plain,
% 28.35/18.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB165, constB166)) | (~v127(constB165, 0)) | v129(constB166, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB165, constB166)) | (~v127(constB165, 0)) | v129(constB166, 0))),
% 28.35/18.88 inference(rewrite,[status(thm)],[])).
% 28.35/18.88 tff(23606,plain,
% 28.35/18.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB165, constB166)) | (~v127(constB165, 0)) | v129(constB166, 0))),
% 28.35/18.88 inference(quant_inst,[status(thm)],[])).
% 28.35/18.88 tff(23607,plain,
% 28.35/18.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB165, constB166)) | (~v127(constB165, 0)) | v129(constB166, 0)),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23606, 23605])).
% 28.35/18.89 tff(23608,plain,
% 28.35/18.89 ((~v127(constB165, 0)) | v129(constB166, 0)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23607, 627, 23478])).
% 28.35/18.89 tff(23609,plain,
% 28.35/18.89 (v129(constB166, 0)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23608, 23604])).
% 28.35/18.89 tff(23610,plain,
% 28.35/18.89 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB166, 0) | (~v129(constB166, 0)) | (~v100(constB166)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB166, 0) | (~v129(constB166, 0)) | (~v100(constB166)))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23611,plain,
% 28.35/18.89 ((v90(constB166, 0) | (~v100(constB166)) | (~v129(constB166, 0))) <=> (v90(constB166, 0) | (~v129(constB166, 0)) | (~v100(constB166)))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23612,plain,
% 28.35/18.89 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB166, 0) | (~v100(constB166)) | (~v129(constB166, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB166, 0) | (~v129(constB166, 0)) | (~v100(constB166))))),
% 28.35/18.89 inference(monotonicity,[status(thm)],[23611])).
% 28.35/18.89 tff(23613,plain,
% 28.35/18.89 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB166, 0) | (~v100(constB166)) | (~v129(constB166, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB166, 0) | (~v129(constB166, 0)) | (~v100(constB166)))),
% 28.35/18.89 inference(transitivity,[status(thm)],[23612, 23610])).
% 28.35/18.89 tff(23614,plain,
% 28.35/18.89 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB166, 0) | (~v100(constB166)) | (~v129(constB166, 0)))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23615,plain,
% 28.35/18.89 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB166, 0) | (~v129(constB166, 0)) | (~v100(constB166))),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23614, 23613])).
% 28.35/18.89 tff(23616,plain,
% 28.35/18.89 (v90(constB166, 0) | (~v100(constB166))),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23615, 642, 23609])).
% 28.35/18.89 tff(23617,plain,
% 28.35/18.89 (v90(constB166, 0)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23616, 23512])).
% 28.35/18.89 tff(23618,plain,
% 28.35/18.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB166, 0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB166, 0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 0))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23619,plain,
% 28.35/18.89 (((~nextState(constB166, constB167)) | (~v90(constB166, 0)) | v100(constB167) | v90(constB167, 0)) <=> ((~v90(constB166, 0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 0))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23620,plain,
% 28.35/18.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, 0)) | v100(constB167) | v90(constB167, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB166, 0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 0)))),
% 28.35/18.89 inference(monotonicity,[status(thm)],[23619])).
% 28.35/18.89 tff(23621,plain,
% 28.35/18.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, 0)) | v100(constB167) | v90(constB167, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB166, 0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 0))),
% 28.35/18.89 inference(transitivity,[status(thm)],[23620, 23618])).
% 28.35/18.89 tff(23622,plain,
% 28.35/18.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, 0)) | v100(constB167) | v90(constB167, 0))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23623,plain,
% 28.35/18.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB166, 0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 0)),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23622, 23621])).
% 28.35/18.89 tff(23624,plain,
% 28.35/18.89 ((~v90(constB166, 0)) | v100(constB167) | v90(constB167, 0)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23623, 660, 23540])).
% 28.35/18.89 tff(23625,plain,
% 28.35/18.89 ((~v90(constB166, 0)) | v90(constB167, 0)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23624, 23552])).
% 28.35/18.89 tff(23626,plain,
% 28.35/18.89 (v90(constB167, 0)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23625, 23617])).
% 28.35/18.89 tff(23627,plain,
% 28.35/18.89 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB167, 0)) | v90(constB167, 1) | (~v90(constB167, 2)) | v124(constB167))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB167, 0)) | v90(constB167, 1) | (~v90(constB167, 2)) | v124(constB167))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23628,plain,
% 28.35/18.89 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB167, 0)) | v90(constB167, 1) | (~v90(constB167, 2)) | v124(constB167))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23629,plain,
% 28.35/18.89 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB167, 0)) | v90(constB167, 1) | (~v90(constB167, 2)) | v124(constB167)),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23628, 23627])).
% 28.35/18.89 tff(23630,plain,
% 28.35/18.89 (v124(constB167)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23629, 1794, 23626, 23595, 23561])).
% 28.35/18.89 tff(23631,plain,
% 28.35/18.89 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB167)) | v114(constB167))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB167)) | v114(constB167))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23632,plain,
% 28.35/18.89 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB167)) | v114(constB167))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23633,plain,
% 28.35/18.89 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB167)) | v114(constB167)),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23632, 23631])).
% 28.35/18.89 tff(23634,plain,
% 28.35/18.89 (v114(constB167)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23633, 1805, 23630])).
% 28.35/18.89 tff(23635,plain,
% 28.35/18.89 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB167)) | v113(constB167))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB167)) | v113(constB167))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23636,plain,
% 28.35/18.89 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB167)) | v113(constB167))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23637,plain,
% 28.35/18.89 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB167)) | v113(constB167)),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23636, 23635])).
% 28.35/18.89 tff(23638,plain,
% 28.35/18.89 (v113(constB167)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23637, 314, 23634])).
% 28.35/18.89 tff(23639,assumption,(v26(constB167)), introduced(assumption)).
% 28.35/18.89 tff(23640,plain,
% 28.35/18.89 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB167))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23641,plain,
% 28.35/18.89 ($false),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23640, 95, 23639])).
% 28.35/18.89 tff(23642,plain,(~v26(constB167)), inference(lemma,lemma(discharge,[]))).
% 28.35/18.89 tff(23643,plain,
% 28.35/18.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | (~v113(constB167)) | v112(constB167))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23644,plain,
% 28.35/18.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23645,plain,
% 28.35/18.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | (~v113(constB167)) | v112(constB167)),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23644, 23643])).
% 28.35/18.89 tff(23646,plain,
% 28.35/18.89 ((~v113(constB167)) | v112(constB167)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23645, 328, 23642])).
% 28.35/18.89 tff(23647,plain,
% 28.35/18.89 (v112(constB167)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23646, 23638])).
% 28.35/18.89 tff(23648,plain,
% 28.35/18.89 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB167) | (~v112(constB167)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v112(constB167)))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23649,plain,
% 28.35/18.89 (((~v112(constB167)) | v108(constB167)) <=> (v108(constB167) | (~v112(constB167)))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23650,plain,
% 28.35/18.89 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB167)) | v108(constB167))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB167) | (~v112(constB167))))),
% 28.35/18.89 inference(monotonicity,[status(thm)],[23649])).
% 28.35/18.89 tff(23651,plain,
% 28.35/18.89 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB167)) | v108(constB167))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v112(constB167)))),
% 28.35/18.89 inference(transitivity,[status(thm)],[23650, 23648])).
% 28.35/18.89 tff(23652,plain,
% 28.35/18.89 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB167)) | v108(constB167))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23653,plain,
% 28.35/18.89 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v112(constB167))),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23652, 23651])).
% 28.35/18.89 tff(23654,plain,
% 28.35/18.89 (v108(constB167)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23653, 340, 23647])).
% 28.35/18.89 tff(23655,plain,
% 28.35/18.89 (nextState(constB167, constB168) <=> nextState(constB167, constB168)),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23656,axiom,(nextState(constB167, constB168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_167_1')).
% 28.35/18.89 tff(23657,plain,
% 28.35/18.89 (nextState(constB167, constB168)),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23656, 23655])).
% 28.35/18.89 tff(23658,plain,
% 28.35/18.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23659,plain,
% 28.35/18.89 (((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168)) <=> ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23660,plain,
% 28.35/18.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167))))),
% 28.35/18.89 inference(monotonicity,[status(thm)],[23659])).
% 28.35/18.89 tff(23661,plain,
% 28.35/18.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 28.35/18.89 inference(transitivity,[status(thm)],[23660, 23658])).
% 28.35/18.89 tff(23662,plain,
% 28.35/18.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23663,plain,
% 28.35/18.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167))),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23662, 23661])).
% 28.35/18.89 tff(23664,plain,
% 28.35/18.89 (v110(constB168) | (~v108(constB167))),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23663, 360, 23657])).
% 28.35/18.89 tff(23665,plain,
% 28.35/18.89 (v110(constB168)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23664, 23654])).
% 28.35/18.89 tff(23666,plain,
% 28.35/18.89 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23667,plain,
% 28.35/18.89 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23668,plain,
% 28.35/18.89 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168))),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23667, 23666])).
% 28.35/18.89 tff(23669,plain,
% 28.35/18.89 (~v104(constB168)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23668, 378, 23657, 23537])).
% 28.35/18.89 tff(23670,plain,
% 28.35/18.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23671,plain,
% 28.35/18.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23672,plain,
% 28.35/18.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB167, constB168)) | v102(constB168) | v104(constB168)),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23671, 23670])).
% 28.35/18.89 tff(23673,plain,
% 28.35/18.89 (v102(constB168) | v104(constB168)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23672, 392, 23657])).
% 28.35/18.89 tff(23674,plain,
% 28.35/18.89 (v102(constB168)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23673, 23669])).
% 28.35/18.89 tff(23675,plain,
% 28.35/18.89 (v1(constB168) <=> v1(constB168)),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23676,axiom,(v1(constB168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_168_1')).
% 28.35/18.89 tff(23677,plain,
% 28.35/18.89 (v1(constB168)),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23676, 23675])).
% 28.35/18.89 tff(23678,plain,
% 28.35/18.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23679,plain,
% 28.35/18.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23680,plain,
% 28.35/18.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168))),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23679, 23678])).
% 28.35/18.89 tff(23681,plain,
% 28.35/18.89 (v101(constB168) | (~v102(constB168))),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23680, 410, 23657, 23677])).
% 28.35/18.89 tff(23682,plain,
% 28.35/18.89 (v101(constB168)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23681, 23674])).
% 28.35/18.89 tff(23683,plain,
% 28.35/18.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23684,plain,
% 28.35/18.89 (((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168)) <=> ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23685,plain,
% 28.35/18.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168))))),
% 28.35/18.89 inference(monotonicity,[status(thm)],[23684])).
% 28.35/18.89 tff(23686,plain,
% 28.35/18.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 28.35/18.89 inference(transitivity,[status(thm)],[23685, 23683])).
% 28.35/18.89 tff(23687,plain,
% 28.35/18.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23688,plain,
% 28.35/18.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168))),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23687, 23686])).
% 28.35/18.89 tff(23689,plain,
% 28.35/18.89 (v100(constB168) | (~v101(constB168)) | (~v110(constB168))),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23688, 425, 23657])).
% 28.35/18.89 tff(23690,plain,
% 28.35/18.89 (v100(constB168) | (~v110(constB168))),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23689, 23682])).
% 28.35/18.89 tff(23691,plain,
% 28.35/18.89 (v100(constB168)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23690, 23665])).
% 28.35/18.89 tff(23692,plain,
% 28.35/18.89 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB167)) | v130(constB167, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB167)) | v130(constB167, 2))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23693,plain,
% 28.35/18.89 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB167)) | v130(constB167, 2))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23694,plain,
% 28.35/18.89 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB167)) | v130(constB167, 2)),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23693, 23692])).
% 28.35/18.89 tff(23695,plain,
% 28.35/18.89 (v130(constB167, 2)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23694, 1873, 23630])).
% 28.35/18.89 tff(23696,plain,
% 28.35/18.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB167) | (~v130(constB167, 2)) | v127(constB167, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB167) | (~v130(constB167, 2)) | v127(constB167, 2))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23697,plain,
% 28.35/18.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB167) | (~v130(constB167, 2)) | v127(constB167, 2))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23698,plain,
% 28.35/18.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB167) | (~v130(constB167, 2)) | v127(constB167, 2)),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23697, 23696])).
% 28.35/18.89 tff(23699,plain,
% 28.35/18.89 ((~v130(constB167, 2)) | v127(constB167, 2)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23698, 1498, 23642])).
% 28.35/18.89 tff(23700,plain,
% 28.35/18.89 (v127(constB167, 2)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23699, 23695])).
% 28.35/18.89 tff(23701,plain,
% 28.35/18.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB167, constB168)) | (~v127(constB167, 2)) | v129(constB168, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB167, constB168)) | (~v127(constB167, 2)) | v129(constB168, 2))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23702,plain,
% 28.35/18.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB167, constB168)) | (~v127(constB167, 2)) | v129(constB168, 2))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23703,plain,
% 28.35/18.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB167, constB168)) | (~v127(constB167, 2)) | v129(constB168, 2)),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23702, 23701])).
% 28.35/18.89 tff(23704,plain,
% 28.35/18.89 ((~v127(constB167, 2)) | v129(constB168, 2)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23703, 1513, 23657])).
% 28.35/18.89 tff(23705,plain,
% 28.35/18.89 (v129(constB168, 2)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23704, 23700])).
% 28.35/18.89 tff(23706,plain,
% 28.35/18.89 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB168, 2) | (~v129(constB168, 2)) | (~v100(constB168)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB168, 2) | (~v129(constB168, 2)) | (~v100(constB168)))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23707,plain,
% 28.35/18.89 ((v90(constB168, 2) | (~v100(constB168)) | (~v129(constB168, 2))) <=> (v90(constB168, 2) | (~v129(constB168, 2)) | (~v100(constB168)))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23708,plain,
% 28.35/18.89 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB168, 2) | (~v100(constB168)) | (~v129(constB168, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB168, 2) | (~v129(constB168, 2)) | (~v100(constB168))))),
% 28.35/18.89 inference(monotonicity,[status(thm)],[23707])).
% 28.35/18.89 tff(23709,plain,
% 28.35/18.89 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB168, 2) | (~v100(constB168)) | (~v129(constB168, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB168, 2) | (~v129(constB168, 2)) | (~v100(constB168)))),
% 28.35/18.89 inference(transitivity,[status(thm)],[23708, 23706])).
% 28.35/18.89 tff(23710,plain,
% 28.35/18.89 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB168, 2) | (~v100(constB168)) | (~v129(constB168, 2)))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23711,plain,
% 28.35/18.89 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB168, 2) | (~v129(constB168, 2)) | (~v100(constB168))),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23710, 23709])).
% 28.35/18.89 tff(23712,plain,
% 28.35/18.89 (v90(constB168, 2) | (~v100(constB168))),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23711, 1528, 23705])).
% 28.35/18.89 tff(23713,plain,
% 28.35/18.89 (v90(constB168, 2)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23712, 23691])).
% 28.35/18.89 tff(23714,plain,
% 28.35/18.89 ((~v1(constB169)) <=> (~v1(constB169))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23715,axiom,(~v1(constB169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_169_1_1')).
% 28.35/18.89 tff(23716,plain,
% 28.35/18.89 (~v1(constB169)),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23715, 23714])).
% 28.35/18.89 tff(23717,plain,
% 28.35/18.89 (nextState(constB168, constB169) <=> nextState(constB168, constB169)),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23718,axiom,(nextState(constB168, constB169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_168_1')).
% 28.35/18.89 tff(23719,plain,
% 28.35/18.89 (nextState(constB168, constB169)),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23718, 23717])).
% 28.35/18.89 tff(23720,plain,
% 28.35/18.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23721,plain,
% 28.35/18.89 (((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169)) <=> (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23722,plain,
% 28.35/18.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169))))),
% 28.35/18.89 inference(monotonicity,[status(thm)],[23721])).
% 28.35/18.89 tff(23723,plain,
% 28.35/18.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 28.35/18.89 inference(transitivity,[status(thm)],[23722, 23720])).
% 28.35/18.89 tff(23724,plain,
% 28.35/18.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23725,plain,
% 28.35/18.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169))),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23724, 23723])).
% 28.35/18.89 tff(23726,plain,
% 28.35/18.89 (~v101(constB169)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23725, 138, 23719, 23716])).
% 28.35/18.89 tff(23727,plain,
% 28.35/18.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23728,plain,
% 28.35/18.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23729,plain,
% 28.35/18.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169))),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23728, 23727])).
% 28.35/18.89 tff(23730,plain,
% 28.35/18.89 (v101(constB169) | (~v100(constB169))),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23729, 155, 23719])).
% 28.35/18.89 tff(23731,plain,
% 28.35/18.89 (~v100(constB169)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23730, 23726])).
% 28.35/18.89 tff(23732,plain,
% 28.35/18.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB168, 2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB168, 2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 2))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23733,plain,
% 28.35/18.89 (((~nextState(constB168, constB169)) | (~v90(constB168, 2)) | v100(constB169) | v90(constB169, 2)) <=> ((~v90(constB168, 2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 2))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23734,plain,
% 28.35/18.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB168, constB169)) | (~v90(constB168, 2)) | v100(constB169) | v90(constB169, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB168, 2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 2)))),
% 28.35/18.89 inference(monotonicity,[status(thm)],[23733])).
% 28.35/18.89 tff(23735,plain,
% 28.35/18.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB168, constB169)) | (~v90(constB168, 2)) | v100(constB169) | v90(constB169, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB168, 2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 2))),
% 28.35/18.89 inference(transitivity,[status(thm)],[23734, 23732])).
% 28.35/18.89 tff(23736,plain,
% 28.35/18.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB168, constB169)) | (~v90(constB168, 2)) | v100(constB169) | v90(constB169, 2))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23737,plain,
% 28.35/18.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB168, 2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 2)),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23736, 23735])).
% 28.35/18.89 tff(23738,plain,
% 28.35/18.89 ((~v90(constB168, 2)) | v100(constB169) | v90(constB169, 2)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23737, 1546, 23719])).
% 28.35/18.89 tff(23739,plain,
% 28.35/18.89 ((~v90(constB168, 2)) | v90(constB169, 2)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23738, 23731])).
% 28.35/18.89 tff(23740,plain,
% 28.35/18.89 (v90(constB169, 2)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23739, 23713])).
% 28.35/18.89 tff(23741,plain,
% 28.35/18.89 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB167)) | v130(constB167, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB167)) | v130(constB167, 1))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23742,plain,
% 28.35/18.89 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB167)) | v130(constB167, 1))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23743,plain,
% 28.35/18.89 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB167)) | v130(constB167, 1)),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23742, 23741])).
% 28.35/18.89 tff(23744,plain,
% 28.35/18.89 (v130(constB167, 1)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23743, 1929, 23630])).
% 28.35/18.89 tff(23745,plain,
% 28.35/18.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB167) | (~v130(constB167, 1)) | v127(constB167, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB167) | (~v130(constB167, 1)) | v127(constB167, 1))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23746,plain,
% 28.35/18.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB167) | (~v130(constB167, 1)) | v127(constB167, 1))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23747,plain,
% 28.35/18.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB167) | (~v130(constB167, 1)) | v127(constB167, 1)),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23746, 23745])).
% 28.35/18.89 tff(23748,plain,
% 28.35/18.89 ((~v130(constB167, 1)) | v127(constB167, 1)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23747, 855, 23642])).
% 28.35/18.89 tff(23749,plain,
% 28.35/18.89 (v127(constB167, 1)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23748, 23744])).
% 28.35/18.89 tff(23750,plain,
% 28.35/18.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB167, constB168)) | (~v127(constB167, 1)) | v129(constB168, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB167, constB168)) | (~v127(constB167, 1)) | v129(constB168, 1))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23751,plain,
% 28.35/18.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB167, constB168)) | (~v127(constB167, 1)) | v129(constB168, 1))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23752,plain,
% 28.35/18.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB167, constB168)) | (~v127(constB167, 1)) | v129(constB168, 1)),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23751, 23750])).
% 28.35/18.89 tff(23753,plain,
% 28.35/18.89 ((~v127(constB167, 1)) | v129(constB168, 1)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23752, 870, 23657])).
% 28.35/18.89 tff(23754,plain,
% 28.35/18.89 (v129(constB168, 1)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23753, 23749])).
% 28.35/18.89 tff(23755,plain,
% 28.35/18.89 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB168, 1) | (~v129(constB168, 1)) | (~v100(constB168)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB168, 1) | (~v129(constB168, 1)) | (~v100(constB168)))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23756,plain,
% 28.35/18.89 ((v90(constB168, 1) | (~v100(constB168)) | (~v129(constB168, 1))) <=> (v90(constB168, 1) | (~v129(constB168, 1)) | (~v100(constB168)))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23757,plain,
% 28.35/18.89 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB168, 1) | (~v100(constB168)) | (~v129(constB168, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB168, 1) | (~v129(constB168, 1)) | (~v100(constB168))))),
% 28.35/18.89 inference(monotonicity,[status(thm)],[23756])).
% 28.35/18.89 tff(23758,plain,
% 28.35/18.89 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB168, 1) | (~v100(constB168)) | (~v129(constB168, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB168, 1) | (~v129(constB168, 1)) | (~v100(constB168)))),
% 28.35/18.89 inference(transitivity,[status(thm)],[23757, 23755])).
% 28.35/18.89 tff(23759,plain,
% 28.35/18.89 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB168, 1) | (~v100(constB168)) | (~v129(constB168, 1)))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23760,plain,
% 28.35/18.89 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB168, 1) | (~v129(constB168, 1)) | (~v100(constB168))),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23759, 23758])).
% 28.35/18.89 tff(23761,plain,
% 28.35/18.89 (v90(constB168, 1) | (~v100(constB168))),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23760, 885, 23754])).
% 28.35/18.89 tff(23762,plain,
% 28.35/18.89 (v90(constB168, 1)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23761, 23691])).
% 28.35/18.89 tff(23763,plain,
% 28.35/18.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB168, 1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB168, 1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 1))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23764,plain,
% 28.35/18.89 (((~nextState(constB168, constB169)) | (~v90(constB168, 1)) | v100(constB169) | v90(constB169, 1)) <=> ((~v90(constB168, 1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 1))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23765,plain,
% 28.35/18.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, 1)) | v100(constB169) | v90(constB169, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB168, 1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 1)))),
% 28.35/18.89 inference(monotonicity,[status(thm)],[23764])).
% 28.35/18.89 tff(23766,plain,
% 28.35/18.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, 1)) | v100(constB169) | v90(constB169, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB168, 1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 1))),
% 28.35/18.89 inference(transitivity,[status(thm)],[23765, 23763])).
% 28.35/18.89 tff(23767,plain,
% 28.35/18.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, 1)) | v100(constB169) | v90(constB169, 1))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23768,plain,
% 28.35/18.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB168, 1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 1)),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23767, 23766])).
% 28.35/18.89 tff(23769,plain,
% 28.35/18.89 ((~v90(constB168, 1)) | v100(constB169) | v90(constB169, 1)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23768, 903, 23719])).
% 28.35/18.89 tff(23770,plain,
% 28.35/18.89 ((~v90(constB168, 1)) | v90(constB169, 1)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23769, 23731])).
% 28.35/18.89 tff(23771,plain,
% 28.35/18.89 (v90(constB169, 1)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23770, 23762])).
% 28.35/18.89 tff(23772,plain,
% 28.35/18.89 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB167)) | (~v130(constB167, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB167)) | (~v130(constB167, 0)))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23773,plain,
% 28.35/18.89 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB167)) | (~v130(constB167, 0)))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23774,plain,
% 28.35/18.89 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB167)) | (~v130(constB167, 0))),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23773, 23772])).
% 28.35/18.89 tff(23775,plain,
% 28.35/18.89 (~v130(constB167, 0)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23774, 1967, 23630])).
% 28.35/18.89 tff(23776,plain,
% 28.35/18.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB167, 0)) | v26(constB167) | v130(constB167, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB167, 0)) | v26(constB167) | v130(constB167, 0))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23777,plain,
% 28.35/18.89 ((v26(constB167) | v130(constB167, 0) | (~v127(constB167, 0))) <=> ((~v127(constB167, 0)) | v26(constB167) | v130(constB167, 0))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23778,plain,
% 28.35/18.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB167) | v130(constB167, 0) | (~v127(constB167, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB167, 0)) | v26(constB167) | v130(constB167, 0)))),
% 28.35/18.89 inference(monotonicity,[status(thm)],[23777])).
% 28.35/18.89 tff(23779,plain,
% 28.35/18.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB167) | v130(constB167, 0) | (~v127(constB167, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB167, 0)) | v26(constB167) | v130(constB167, 0))),
% 28.35/18.89 inference(transitivity,[status(thm)],[23778, 23776])).
% 28.35/18.89 tff(23780,plain,
% 28.35/18.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB167) | v130(constB167, 0) | (~v127(constB167, 0)))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23781,plain,
% 28.35/18.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB167, 0)) | v26(constB167) | v130(constB167, 0)),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23780, 23779])).
% 28.35/18.89 tff(23782,plain,
% 28.35/18.89 ((~v127(constB167, 0)) | v130(constB167, 0)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23781, 933, 23642])).
% 28.35/18.89 tff(23783,plain,
% 28.35/18.89 (~v127(constB167, 0)),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23782, 23775])).
% 28.35/18.89 tff(23784,plain,
% 28.35/18.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB167, constB168)) | v127(constB167, 0) | (~v129(constB168, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB167, constB168)) | v127(constB167, 0) | (~v129(constB168, 0)))),
% 28.35/18.89 inference(rewrite,[status(thm)],[])).
% 28.35/18.89 tff(23785,plain,
% 28.35/18.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB167, constB168)) | v127(constB167, 0) | (~v129(constB168, 0)))),
% 28.35/18.89 inference(quant_inst,[status(thm)],[])).
% 28.35/18.89 tff(23786,plain,
% 28.35/18.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB167, constB168)) | v127(constB167, 0) | (~v129(constB168, 0))),
% 28.35/18.89 inference(modus_ponens,[status(thm)],[23785, 23784])).
% 28.35/18.89 tff(23787,plain,
% 28.35/18.89 (v127(constB167, 0) | (~v129(constB168, 0))),
% 28.35/18.89 inference(unit_resolution,[status(thm)],[23786, 951, 23657])).
% 28.35/18.90 tff(23788,plain,
% 28.35/18.90 (~v129(constB168, 0)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23787, 23783])).
% 28.35/18.90 tff(23789,plain,
% 28.35/18.90 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB168, 0)) | v129(constB168, 0) | (~v100(constB168)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB168, 0)) | v129(constB168, 0) | (~v100(constB168)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23790,plain,
% 28.35/18.90 (((~v90(constB168, 0)) | (~v100(constB168)) | v129(constB168, 0)) <=> ((~v90(constB168, 0)) | v129(constB168, 0) | (~v100(constB168)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23791,plain,
% 28.35/18.90 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB168, 0)) | (~v100(constB168)) | v129(constB168, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB168, 0)) | v129(constB168, 0) | (~v100(constB168))))),
% 28.35/18.90 inference(monotonicity,[status(thm)],[23790])).
% 28.35/18.90 tff(23792,plain,
% 28.35/18.90 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB168, 0)) | (~v100(constB168)) | v129(constB168, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB168, 0)) | v129(constB168, 0) | (~v100(constB168)))),
% 28.35/18.90 inference(transitivity,[status(thm)],[23791, 23789])).
% 28.35/18.90 tff(23793,plain,
% 28.35/18.90 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB168, 0)) | (~v100(constB168)) | v129(constB168, 0))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23794,plain,
% 28.35/18.90 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB168, 0)) | v129(constB168, 0) | (~v100(constB168))),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23793, 23792])).
% 28.35/18.90 tff(23795,plain,
% 28.35/18.90 ((~v90(constB168, 0)) | (~v100(constB168))),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23794, 966, 23788])).
% 28.35/18.90 tff(23796,plain,
% 28.35/18.90 (~v90(constB168, 0)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23795, 23691])).
% 28.35/18.90 tff(23797,plain,
% 28.35/18.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB168, 0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB168, 0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 0)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23798,plain,
% 28.35/18.90 (((~nextState(constB168, constB169)) | v90(constB168, 0) | v100(constB169) | (~v90(constB169, 0))) <=> (v90(constB168, 0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 0)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23799,plain,
% 28.35/18.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB168, constB169)) | v90(constB168, 0) | v100(constB169) | (~v90(constB169, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB168, 0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 0))))),
% 28.35/18.90 inference(monotonicity,[status(thm)],[23798])).
% 28.35/18.90 tff(23800,plain,
% 28.35/18.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB168, constB169)) | v90(constB168, 0) | v100(constB169) | (~v90(constB169, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB168, 0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 0)))),
% 28.35/18.90 inference(transitivity,[status(thm)],[23799, 23797])).
% 28.35/18.90 tff(23801,plain,
% 28.35/18.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB168, constB169)) | v90(constB168, 0) | v100(constB169) | (~v90(constB169, 0)))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23802,plain,
% 28.35/18.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB168, 0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 0))),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23801, 23800])).
% 28.35/18.90 tff(23803,plain,
% 28.35/18.90 (v90(constB168, 0) | v100(constB169) | (~v90(constB169, 0))),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23802, 212, 23719])).
% 28.35/18.90 tff(23804,plain,
% 28.35/18.90 (v90(constB168, 0) | (~v90(constB169, 0))),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23803, 23731])).
% 28.35/18.90 tff(23805,plain,
% 28.35/18.90 (~v90(constB169, 0)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23804, 23796])).
% 28.35/18.90 tff(23806,plain,
% 28.35/18.90 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB169, 0) | (~v90(constB169, 1)) | (~v90(constB169, 2)) | v125(constB169))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB169, 0) | (~v90(constB169, 1)) | (~v90(constB169, 2)) | v125(constB169))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23807,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB169, 0) | (~v90(constB169, 1)) | (~v90(constB169, 2)) | v125(constB169))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23808,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB169, 0) | (~v90(constB169, 1)) | (~v90(constB169, 2)) | v125(constB169)),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23807, 23806])).
% 28.35/18.90 tff(23809,plain,
% 28.35/18.90 (v125(constB169)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23808, 2011, 23805, 23771, 23740])).
% 28.35/18.90 tff(23810,plain,
% 28.35/18.90 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB169)) | v113(constB169))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB169)) | v113(constB169))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23811,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB169)) | v113(constB169))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23812,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB169)) | v113(constB169)),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23811, 23810])).
% 28.35/18.90 tff(23813,plain,
% 28.35/18.90 (v113(constB169)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23812, 2022, 23809])).
% 28.35/18.90 tff(23814,assumption,(v26(constB169)), introduced(assumption)).
% 28.35/18.90 tff(23815,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB169))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23816,plain,
% 28.35/18.90 ($false),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23815, 95, 23814])).
% 28.35/18.90 tff(23817,plain,(~v26(constB169)), inference(lemma,lemma(discharge,[]))).
% 28.35/18.90 tff(23818,plain,
% 28.35/18.90 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | (~v113(constB169)) | v112(constB169))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23819,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23820,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | (~v113(constB169)) | v112(constB169)),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23819, 23818])).
% 28.35/18.90 tff(23821,plain,
% 28.35/18.90 ((~v113(constB169)) | v112(constB169)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23820, 328, 23817])).
% 28.35/18.90 tff(23822,plain,
% 28.35/18.90 (v112(constB169)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23821, 23813])).
% 28.35/18.90 tff(23823,plain,
% 28.35/18.90 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB169) | (~v112(constB169)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB169) | (~v112(constB169)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23824,plain,
% 28.35/18.90 (((~v112(constB169)) | v108(constB169)) <=> (v108(constB169) | (~v112(constB169)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23825,plain,
% 28.35/18.90 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB169)) | v108(constB169))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB169) | (~v112(constB169))))),
% 28.35/18.90 inference(monotonicity,[status(thm)],[23824])).
% 28.35/18.90 tff(23826,plain,
% 28.35/18.90 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB169)) | v108(constB169))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB169) | (~v112(constB169)))),
% 28.35/18.90 inference(transitivity,[status(thm)],[23825, 23823])).
% 28.35/18.90 tff(23827,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB169)) | v108(constB169))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23828,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB169) | (~v112(constB169))),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23827, 23826])).
% 28.35/18.90 tff(23829,plain,
% 28.35/18.90 (v108(constB169)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23828, 340, 23822])).
% 28.35/18.90 tff(23830,plain,
% 28.35/18.90 (nextState(constB169, constB170) <=> nextState(constB169, constB170)),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23831,axiom,(nextState(constB169, constB170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_169_1')).
% 28.35/18.90 tff(23832,plain,
% 28.35/18.90 (nextState(constB169, constB170)),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23831, 23830])).
% 28.35/18.90 tff(23833,plain,
% 28.35/18.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23834,plain,
% 28.35/18.90 (((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170)) <=> ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23835,plain,
% 28.35/18.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169))))),
% 28.35/18.90 inference(monotonicity,[status(thm)],[23834])).
% 28.35/18.90 tff(23836,plain,
% 28.35/18.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 28.35/18.90 inference(transitivity,[status(thm)],[23835, 23833])).
% 28.35/18.90 tff(23837,plain,
% 28.35/18.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23838,plain,
% 28.35/18.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169))),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23837, 23836])).
% 28.35/18.90 tff(23839,plain,
% 28.35/18.90 (v110(constB170) | (~v108(constB169))),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23838, 360, 23832])).
% 28.35/18.90 tff(23840,plain,
% 28.35/18.90 (v110(constB170)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23839, 23829])).
% 28.35/18.90 tff(23841,plain,
% 28.35/18.90 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23842,plain,
% 28.35/18.90 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23843,plain,
% 28.35/18.90 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170))),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23842, 23841])).
% 28.35/18.90 tff(23844,plain,
% 28.35/18.90 (~v104(constB170)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23843, 378, 23832, 23716])).
% 28.35/18.90 tff(23845,plain,
% 28.35/18.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23846,plain,
% 28.35/18.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23847,plain,
% 28.35/18.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB169, constB170)) | v102(constB170) | v104(constB170)),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23846, 23845])).
% 28.35/18.90 tff(23848,plain,
% 28.35/18.90 (v102(constB170) | v104(constB170)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23847, 392, 23832])).
% 28.35/18.90 tff(23849,plain,
% 28.35/18.90 (v102(constB170)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23848, 23844])).
% 28.35/18.90 tff(23850,plain,
% 28.35/18.90 (v1(constB170) <=> v1(constB170)),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23851,axiom,(v1(constB170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_170_1')).
% 28.35/18.90 tff(23852,plain,
% 28.35/18.90 (v1(constB170)),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23851, 23850])).
% 28.35/18.90 tff(23853,plain,
% 28.35/18.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23854,plain,
% 28.35/18.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23855,plain,
% 28.35/18.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170))),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23854, 23853])).
% 28.35/18.90 tff(23856,plain,
% 28.35/18.90 (v101(constB170) | (~v102(constB170))),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23855, 410, 23832, 23852])).
% 28.35/18.90 tff(23857,plain,
% 28.35/18.90 (v101(constB170)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23856, 23849])).
% 28.35/18.90 tff(23858,plain,
% 28.35/18.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23859,plain,
% 28.35/18.90 (((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170)) <=> ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23860,plain,
% 28.35/18.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170))))),
% 28.35/18.90 inference(monotonicity,[status(thm)],[23859])).
% 28.35/18.90 tff(23861,plain,
% 28.35/18.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 28.35/18.90 inference(transitivity,[status(thm)],[23860, 23858])).
% 28.35/18.90 tff(23862,plain,
% 28.35/18.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23863,plain,
% 28.35/18.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170))),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23862, 23861])).
% 28.35/18.90 tff(23864,plain,
% 28.35/18.90 (v100(constB170) | (~v101(constB170)) | (~v110(constB170))),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23863, 425, 23832])).
% 28.35/18.90 tff(23865,plain,
% 28.35/18.90 (v100(constB170) | (~v110(constB170))),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23864, 23857])).
% 28.35/18.90 tff(23866,plain,
% 28.35/18.90 (v100(constB170)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23865, 23840])).
% 28.35/18.90 tff(23867,plain,
% 28.35/18.90 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB169)) | (~v90(constB169, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB169)) | (~v90(constB169, 2)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23868,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB169)) | (~v90(constB169, 2)))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23869,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB169)) | (~v90(constB169, 2))),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23868, 23867])).
% 28.35/18.90 tff(23870,plain,
% 28.35/18.90 (~v121(constB169)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23869, 2130, 23740])).
% 28.35/18.90 tff(23871,plain,
% 28.35/18.90 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB169)) | (~v90(constB169, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB169)) | (~v90(constB169, 2)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23872,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB169)) | (~v90(constB169, 2)))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23873,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB169)) | (~v90(constB169, 2))),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23872, 23871])).
% 28.35/18.90 tff(23874,plain,
% 28.35/18.90 (~v122(constB169)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23873, 2119, 23740])).
% 28.35/18.90 tff(23875,plain,
% 28.35/18.90 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB169)) | (~v90(constB169, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB169)) | (~v90(constB169, 1)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23876,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB169)) | (~v90(constB169, 1)))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23877,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB169)) | (~v90(constB169, 1))),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23876, 23875])).
% 28.35/18.90 tff(23878,plain,
% 28.35/18.90 (~v120(constB169)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23877, 2141, 23771])).
% 28.35/18.90 tff(23879,plain,
% 28.35/18.90 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB169)) | (~v90(constB169, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB169)) | (~v90(constB169, 1)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23880,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB169)) | (~v90(constB169, 1)))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23881,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB169)) | (~v90(constB169, 1))),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23880, 23879])).
% 28.35/18.90 tff(23882,plain,
% 28.35/18.90 (~v124(constB169)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23881, 2097, 23771])).
% 28.35/18.90 tff(23883,plain,
% 28.35/18.90 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB169)) | (~v90(constB169, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB169)) | (~v90(constB169, 1)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23884,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB169)) | (~v90(constB169, 1)))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23885,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB169)) | (~v90(constB169, 1))),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23884, 23883])).
% 28.35/18.90 tff(23886,plain,
% 28.35/18.90 (~v123(constB169)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23885, 2108, 23771])).
% 28.35/18.90 tff(23887,plain,
% 28.35/18.90 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB169)) | (~v90(constB169, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB169)) | (~v90(constB169, 1)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23888,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB169)) | (~v90(constB169, 1)))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23889,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB169)) | (~v90(constB169, 1))),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23888, 23887])).
% 28.35/18.90 tff(23890,plain,
% 28.35/18.90 (~v119(constB169)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23889, 2086, 23771])).
% 28.35/18.90 tff(23891,plain,
% 28.35/18.90 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 2)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23892,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 2)))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23893,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 2))),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23892, 23891])).
% 28.35/18.90 tff(23894,plain,
% 28.35/18.90 (~v130(constB169, 2)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23893, 2155, 23890, 23886, 23882, 23878, 23874, 23870])).
% 28.35/18.90 tff(23895,plain,
% 28.35/18.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB169, 2)) | v26(constB169) | v130(constB169, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB169, 2)) | v26(constB169) | v130(constB169, 2))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23896,plain,
% 28.35/18.90 ((v26(constB169) | v130(constB169, 2) | (~v127(constB169, 2))) <=> ((~v127(constB169, 2)) | v26(constB169) | v130(constB169, 2))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23897,plain,
% 28.35/18.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB169) | v130(constB169, 2) | (~v127(constB169, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB169, 2)) | v26(constB169) | v130(constB169, 2)))),
% 28.35/18.90 inference(monotonicity,[status(thm)],[23896])).
% 28.35/18.90 tff(23898,plain,
% 28.35/18.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB169) | v130(constB169, 2) | (~v127(constB169, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB169, 2)) | v26(constB169) | v130(constB169, 2))),
% 28.35/18.90 inference(transitivity,[status(thm)],[23897, 23895])).
% 28.35/18.90 tff(23899,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB169) | v130(constB169, 2) | (~v127(constB169, 2)))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23900,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB169, 2)) | v26(constB169) | v130(constB169, 2)),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23899, 23898])).
% 28.35/18.90 tff(23901,plain,
% 28.35/18.90 ((~v127(constB169, 2)) | v130(constB169, 2)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23900, 455, 23817])).
% 28.35/18.90 tff(23902,plain,
% 28.35/18.90 (~v127(constB169, 2)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23901, 23894])).
% 28.35/18.90 tff(23903,plain,
% 28.35/18.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB169, constB170)) | v127(constB169, 2) | (~v129(constB170, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB169, constB170)) | v127(constB169, 2) | (~v129(constB170, 2)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23904,plain,
% 28.35/18.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB169, constB170)) | v127(constB169, 2) | (~v129(constB170, 2)))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23905,plain,
% 28.35/18.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB169, constB170)) | v127(constB169, 2) | (~v129(constB170, 2))),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23904, 23903])).
% 28.35/18.90 tff(23906,plain,
% 28.35/18.90 (v127(constB169, 2) | (~v129(constB170, 2))),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23905, 473, 23832])).
% 28.35/18.90 tff(23907,plain,
% 28.35/18.90 (~v129(constB170, 2)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23906, 23902])).
% 28.35/18.90 tff(23908,plain,
% 28.35/18.90 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB170, 2)) | v129(constB170, 2) | (~v100(constB170)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB170, 2)) | v129(constB170, 2) | (~v100(constB170)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23909,plain,
% 28.35/18.90 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB170, 2)) | v129(constB170, 2) | (~v100(constB170)))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23910,plain,
% 28.35/18.90 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB170, 2)) | v129(constB170, 2) | (~v100(constB170))),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23909, 23908])).
% 28.35/18.90 tff(23911,plain,
% 28.35/18.90 ((~v90(constB170, 2)) | (~v100(constB170))),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23910, 488, 23907])).
% 28.35/18.90 tff(23912,plain,
% 28.35/18.90 (~v90(constB170, 2)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23911, 23866])).
% 28.35/18.90 tff(23913,plain,
% 28.35/18.90 ((~v1(constB171)) <=> (~v1(constB171))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23914,axiom,(~v1(constB171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_171_1_1')).
% 28.35/18.90 tff(23915,plain,
% 28.35/18.90 (~v1(constB171)),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23914, 23913])).
% 28.35/18.90 tff(23916,plain,
% 28.35/18.90 (nextState(constB170, constB171) <=> nextState(constB170, constB171)),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23917,axiom,(nextState(constB170, constB171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_170_1')).
% 28.35/18.90 tff(23918,plain,
% 28.35/18.90 (nextState(constB170, constB171)),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23917, 23916])).
% 28.35/18.90 tff(23919,plain,
% 28.35/18.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23920,plain,
% 28.35/18.90 (((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171)) <=> (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23921,plain,
% 28.35/18.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171))))),
% 28.35/18.90 inference(monotonicity,[status(thm)],[23920])).
% 28.35/18.90 tff(23922,plain,
% 28.35/18.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 28.35/18.90 inference(transitivity,[status(thm)],[23921, 23919])).
% 28.35/18.90 tff(23923,plain,
% 28.35/18.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23924,plain,
% 28.35/18.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171))),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23923, 23922])).
% 28.35/18.90 tff(23925,plain,
% 28.35/18.90 (~v101(constB171)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23924, 138, 23918, 23915])).
% 28.35/18.90 tff(23926,plain,
% 28.35/18.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23927,plain,
% 28.35/18.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23928,plain,
% 28.35/18.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171))),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23927, 23926])).
% 28.35/18.90 tff(23929,plain,
% 28.35/18.90 (v101(constB171) | (~v100(constB171))),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23928, 155, 23918])).
% 28.35/18.90 tff(23930,plain,
% 28.35/18.90 (~v100(constB171)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23929, 23925])).
% 28.35/18.90 tff(23931,plain,
% 28.35/18.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB170, 2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB170, 2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 2)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23932,plain,
% 28.35/18.90 (((~nextState(constB170, constB171)) | v90(constB170, 2) | v100(constB171) | (~v90(constB171, 2))) <=> (v90(constB170, 2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 2)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23933,plain,
% 28.35/18.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB170, constB171)) | v90(constB170, 2) | v100(constB171) | (~v90(constB171, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB170, 2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 2))))),
% 28.35/18.90 inference(monotonicity,[status(thm)],[23932])).
% 28.35/18.90 tff(23934,plain,
% 28.35/18.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB170, constB171)) | v90(constB170, 2) | v100(constB171) | (~v90(constB171, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB170, 2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 2)))),
% 28.35/18.90 inference(transitivity,[status(thm)],[23933, 23931])).
% 28.35/18.90 tff(23935,plain,
% 28.35/18.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB170, constB171)) | v90(constB170, 2) | v100(constB171) | (~v90(constB171, 2)))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23936,plain,
% 28.35/18.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB170, 2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 2))),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23935, 23934])).
% 28.35/18.90 tff(23937,plain,
% 28.35/18.90 (v90(constB170, 2) | v100(constB171) | (~v90(constB171, 2))),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23936, 170, 23918])).
% 28.35/18.90 tff(23938,plain,
% 28.35/18.90 (v90(constB170, 2) | (~v90(constB171, 2))),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23937, 23930])).
% 28.35/18.90 tff(23939,plain,
% 28.35/18.90 (~v90(constB171, 2)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23938, 23912])).
% 28.35/18.90 tff(23940,plain,
% 28.35/18.90 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 1)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23941,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 1)))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23942,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 1))),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23941, 23940])).
% 28.35/18.90 tff(23943,plain,
% 28.35/18.90 (~v130(constB169, 1)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23942, 2214, 23890, 23886, 23882, 23878, 23874, 23870])).
% 28.35/18.90 tff(23944,plain,
% 28.35/18.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB169, 1)) | v26(constB169) | v130(constB169, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB169, 1)) | v26(constB169) | v130(constB169, 1))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23945,plain,
% 28.35/18.90 ((v26(constB169) | v130(constB169, 1) | (~v127(constB169, 1))) <=> ((~v127(constB169, 1)) | v26(constB169) | v130(constB169, 1))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23946,plain,
% 28.35/18.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB169) | v130(constB169, 1) | (~v127(constB169, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB169, 1)) | v26(constB169) | v130(constB169, 1)))),
% 28.35/18.90 inference(monotonicity,[status(thm)],[23945])).
% 28.35/18.90 tff(23947,plain,
% 28.35/18.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB169) | v130(constB169, 1) | (~v127(constB169, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB169, 1)) | v26(constB169) | v130(constB169, 1))),
% 28.35/18.90 inference(transitivity,[status(thm)],[23946, 23944])).
% 28.35/18.90 tff(23948,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB169) | v130(constB169, 1) | (~v127(constB169, 1)))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23949,plain,
% 28.35/18.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB169, 1)) | v26(constB169) | v130(constB169, 1)),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23948, 23947])).
% 28.35/18.90 tff(23950,plain,
% 28.35/18.90 ((~v127(constB169, 1)) | v130(constB169, 1)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23949, 541, 23817])).
% 28.35/18.90 tff(23951,plain,
% 28.35/18.90 (~v127(constB169, 1)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23950, 23943])).
% 28.35/18.90 tff(23952,plain,
% 28.35/18.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB169, constB170)) | v127(constB169, 1) | (~v129(constB170, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB169, constB170)) | v127(constB169, 1) | (~v129(constB170, 1)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23953,plain,
% 28.35/18.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB169, constB170)) | v127(constB169, 1) | (~v129(constB170, 1)))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23954,plain,
% 28.35/18.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB169, constB170)) | v127(constB169, 1) | (~v129(constB170, 1))),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23953, 23952])).
% 28.35/18.90 tff(23955,plain,
% 28.35/18.90 (v127(constB169, 1) | (~v129(constB170, 1))),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23954, 559, 23832])).
% 28.35/18.90 tff(23956,plain,
% 28.35/18.90 (~v129(constB170, 1)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23955, 23951])).
% 28.35/18.90 tff(23957,plain,
% 28.35/18.90 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB170, 1)) | v129(constB170, 1) | (~v100(constB170)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB170, 1)) | v129(constB170, 1) | (~v100(constB170)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23958,plain,
% 28.35/18.90 (((~v90(constB170, 1)) | (~v100(constB170)) | v129(constB170, 1)) <=> ((~v90(constB170, 1)) | v129(constB170, 1) | (~v100(constB170)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23959,plain,
% 28.35/18.90 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB170, 1)) | (~v100(constB170)) | v129(constB170, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB170, 1)) | v129(constB170, 1) | (~v100(constB170))))),
% 28.35/18.90 inference(monotonicity,[status(thm)],[23958])).
% 28.35/18.90 tff(23960,plain,
% 28.35/18.90 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB170, 1)) | (~v100(constB170)) | v129(constB170, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB170, 1)) | v129(constB170, 1) | (~v100(constB170)))),
% 28.35/18.90 inference(transitivity,[status(thm)],[23959, 23957])).
% 28.35/18.90 tff(23961,plain,
% 28.35/18.90 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB170, 1)) | (~v100(constB170)) | v129(constB170, 1))),
% 28.35/18.90 inference(quant_inst,[status(thm)],[])).
% 28.35/18.90 tff(23962,plain,
% 28.35/18.90 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB170, 1)) | v129(constB170, 1) | (~v100(constB170))),
% 28.35/18.90 inference(modus_ponens,[status(thm)],[23961, 23960])).
% 28.35/18.90 tff(23963,plain,
% 28.35/18.90 ((~v90(constB170, 1)) | (~v100(constB170))),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23962, 574, 23956])).
% 28.35/18.90 tff(23964,plain,
% 28.35/18.90 (~v90(constB170, 1)),
% 28.35/18.90 inference(unit_resolution,[status(thm)],[23963, 23866])).
% 28.35/18.90 tff(23965,plain,
% 28.35/18.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB170, 1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB170, 1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 1)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23966,plain,
% 28.35/18.90 (((~nextState(constB170, constB171)) | v90(constB170, 1) | v100(constB171) | (~v90(constB171, 1))) <=> (v90(constB170, 1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 1)))),
% 28.35/18.90 inference(rewrite,[status(thm)],[])).
% 28.35/18.90 tff(23967,plain,
% 28.35/18.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB170, constB171)) | v90(constB170, 1) | v100(constB171) | (~v90(constB171, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB170, 1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 1))))),
% 28.35/18.91 inference(monotonicity,[status(thm)],[23966])).
% 28.35/18.91 tff(23968,plain,
% 28.35/18.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB170, constB171)) | v90(constB170, 1) | v100(constB171) | (~v90(constB171, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB170, 1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 1)))),
% 28.35/18.91 inference(transitivity,[status(thm)],[23967, 23965])).
% 28.35/18.91 tff(23969,plain,
% 28.35/18.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB170, constB171)) | v90(constB170, 1) | v100(constB171) | (~v90(constB171, 1)))),
% 28.35/18.91 inference(quant_inst,[status(thm)],[])).
% 28.35/18.91 tff(23970,plain,
% 28.35/18.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB170, 1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 1))),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[23969, 23968])).
% 28.35/18.91 tff(23971,plain,
% 28.35/18.91 (v90(constB170, 1) | v100(constB171) | (~v90(constB171, 1))),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[23970, 191, 23918])).
% 28.35/18.91 tff(23972,plain,
% 28.35/18.91 (v90(constB170, 1) | (~v90(constB171, 1))),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[23971, 23930])).
% 28.35/18.91 tff(23973,plain,
% 28.35/18.91 (~v90(constB171, 1)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[23972, 23964])).
% 28.35/18.91 tff(23974,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, 0))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(23975,plain,
% 28.35/18.91 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, 0))),
% 28.35/18.91 inference(quant_inst,[status(thm)],[])).
% 28.35/18.91 tff(23976,plain,
% 28.35/18.91 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, 0)),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[23975, 23974])).
% 28.35/18.91 tff(23977,plain,
% 28.35/18.91 (v130(constB169, 0)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[23976, 2258, 23890, 23886, 23882, 23878, 23874, 23870])).
% 28.35/18.91 tff(23978,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB169) | (~v130(constB169, 0)) | v127(constB169, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB169) | (~v130(constB169, 0)) | v127(constB169, 0))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(23979,plain,
% 28.35/18.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB169) | (~v130(constB169, 0)) | v127(constB169, 0))),
% 28.35/18.91 inference(quant_inst,[status(thm)],[])).
% 28.35/18.91 tff(23980,plain,
% 28.35/18.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB169) | (~v130(constB169, 0)) | v127(constB169, 0)),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[23979, 23978])).
% 28.35/18.91 tff(23981,plain,
% 28.35/18.91 ((~v130(constB169, 0)) | v127(constB169, 0)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[23980, 612, 23817])).
% 28.35/18.91 tff(23982,plain,
% 28.35/18.91 (v127(constB169, 0)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[23981, 23977])).
% 28.35/18.91 tff(23983,plain,
% 28.35/18.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB169, constB170)) | (~v127(constB169, 0)) | v129(constB170, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB169, constB170)) | (~v127(constB169, 0)) | v129(constB170, 0))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(23984,plain,
% 28.35/18.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB169, constB170)) | (~v127(constB169, 0)) | v129(constB170, 0))),
% 28.35/18.91 inference(quant_inst,[status(thm)],[])).
% 28.35/18.91 tff(23985,plain,
% 28.35/18.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB169, constB170)) | (~v127(constB169, 0)) | v129(constB170, 0)),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[23984, 23983])).
% 28.35/18.91 tff(23986,plain,
% 28.35/18.91 ((~v127(constB169, 0)) | v129(constB170, 0)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[23985, 627, 23832])).
% 28.35/18.91 tff(23987,plain,
% 28.35/18.91 (v129(constB170, 0)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[23986, 23982])).
% 28.35/18.91 tff(23988,plain,
% 28.35/18.91 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB170, 0) | (~v129(constB170, 0)) | (~v100(constB170)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB170, 0) | (~v129(constB170, 0)) | (~v100(constB170)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(23989,plain,
% 28.35/18.91 ((v90(constB170, 0) | (~v100(constB170)) | (~v129(constB170, 0))) <=> (v90(constB170, 0) | (~v129(constB170, 0)) | (~v100(constB170)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(23990,plain,
% 28.35/18.91 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB170, 0) | (~v100(constB170)) | (~v129(constB170, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB170, 0) | (~v129(constB170, 0)) | (~v100(constB170))))),
% 28.35/18.91 inference(monotonicity,[status(thm)],[23989])).
% 28.35/18.91 tff(23991,plain,
% 28.35/18.91 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB170, 0) | (~v100(constB170)) | (~v129(constB170, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB170, 0) | (~v129(constB170, 0)) | (~v100(constB170)))),
% 28.35/18.91 inference(transitivity,[status(thm)],[23990, 23988])).
% 28.35/18.91 tff(23992,plain,
% 28.35/18.91 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB170, 0) | (~v100(constB170)) | (~v129(constB170, 0)))),
% 28.35/18.91 inference(quant_inst,[status(thm)],[])).
% 28.35/18.91 tff(23993,plain,
% 28.35/18.91 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB170, 0) | (~v129(constB170, 0)) | (~v100(constB170))),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[23992, 23991])).
% 28.35/18.91 tff(23994,plain,
% 28.35/18.91 (v90(constB170, 0) | (~v100(constB170))),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[23993, 642, 23987])).
% 28.35/18.91 tff(23995,plain,
% 28.35/18.91 (v90(constB170, 0)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[23994, 23866])).
% 28.35/18.91 tff(23996,plain,
% 28.35/18.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB170, 0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB170, 0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 0))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(23997,plain,
% 28.35/18.91 (((~nextState(constB170, constB171)) | (~v90(constB170, 0)) | v100(constB171) | v90(constB171, 0)) <=> ((~v90(constB170, 0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 0))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(23998,plain,
% 28.35/18.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, 0)) | v100(constB171) | v90(constB171, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB170, 0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 0)))),
% 28.35/18.91 inference(monotonicity,[status(thm)],[23997])).
% 28.35/18.91 tff(23999,plain,
% 28.35/18.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, 0)) | v100(constB171) | v90(constB171, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB170, 0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 0))),
% 28.35/18.91 inference(transitivity,[status(thm)],[23998, 23996])).
% 28.35/18.91 tff(24000,plain,
% 28.35/18.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, 0)) | v100(constB171) | v90(constB171, 0))),
% 28.35/18.91 inference(quant_inst,[status(thm)],[])).
% 28.35/18.91 tff(24001,plain,
% 28.35/18.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB170, 0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 0)),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[24000, 23999])).
% 28.35/18.91 tff(24002,plain,
% 28.35/18.91 ((~v90(constB170, 0)) | v100(constB171) | v90(constB171, 0)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24001, 660, 23918])).
% 28.35/18.91 tff(24003,plain,
% 28.35/18.91 ((~v90(constB170, 0)) | v90(constB171, 0)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24002, 23930])).
% 28.35/18.91 tff(24004,plain,
% 28.35/18.91 (v90(constB171, 0)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24003, 23995])).
% 28.35/18.91 tff(24005,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB171, 0)) | v90(constB171, 1) | v90(constB171, 2) | v120(constB171))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB171, 0)) | v90(constB171, 1) | v90(constB171, 2) | v120(constB171))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24006,plain,
% 28.35/18.91 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB171, 0)) | v90(constB171, 1) | v90(constB171, 2) | v120(constB171))),
% 28.35/18.91 inference(quant_inst,[status(thm)],[])).
% 28.35/18.91 tff(24007,plain,
% 28.35/18.91 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB171, 0)) | v90(constB171, 1) | v90(constB171, 2) | v120(constB171)),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[24006, 24005])).
% 28.35/18.91 tff(24008,plain,
% 28.35/18.91 (v120(constB171)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24007, 679, 24004, 23973, 23939])).
% 28.35/18.91 tff(24009,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB171) | (~v120(constB171)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB171) | (~v120(constB171)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24010,plain,
% 28.35/18.91 (((~v120(constB171)) | v118(constB171)) <=> (v118(constB171) | (~v120(constB171)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24011,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB171)) | v118(constB171))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB171) | (~v120(constB171))))),
% 28.35/18.91 inference(monotonicity,[status(thm)],[24010])).
% 28.35/18.91 tff(24012,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB171)) | v118(constB171))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB171) | (~v120(constB171)))),
% 28.35/18.91 inference(transitivity,[status(thm)],[24011, 24009])).
% 28.35/18.91 tff(24013,plain,
% 28.35/18.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB171)) | v118(constB171))),
% 28.35/18.91 inference(quant_inst,[status(thm)],[])).
% 28.35/18.91 tff(24014,plain,
% 28.35/18.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB171) | (~v120(constB171))),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[24013, 24012])).
% 28.35/18.91 tff(24015,plain,
% 28.35/18.91 (v118(constB171)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24014, 690, 24008])).
% 28.35/18.91 tff(24016,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB171) | (~v118(constB171)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB171) | (~v118(constB171)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24017,plain,
% 28.35/18.91 (((~v118(constB171)) | v117(constB171)) <=> (v117(constB171) | (~v118(constB171)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24018,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB171)) | v117(constB171))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB171) | (~v118(constB171))))),
% 28.35/18.91 inference(monotonicity,[status(thm)],[24017])).
% 28.35/18.91 tff(24019,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB171)) | v117(constB171))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB171) | (~v118(constB171)))),
% 28.35/18.91 inference(transitivity,[status(thm)],[24018, 24016])).
% 28.35/18.91 tff(24020,plain,
% 28.35/18.91 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB171)) | v117(constB171))),
% 28.35/18.91 inference(quant_inst,[status(thm)],[])).
% 28.35/18.91 tff(24021,plain,
% 28.35/18.91 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB171) | (~v118(constB171))),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[24020, 24019])).
% 28.35/18.91 tff(24022,plain,
% 28.35/18.91 (v117(constB171)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24021, 258, 24015])).
% 28.35/18.91 tff(24023,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB171) | (~v117(constB171)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB171) | (~v117(constB171)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24024,plain,
% 28.35/18.91 (((~v117(constB171)) | v116(constB171)) <=> (v116(constB171) | (~v117(constB171)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24025,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB171)) | v116(constB171))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB171) | (~v117(constB171))))),
% 28.35/18.91 inference(monotonicity,[status(thm)],[24024])).
% 28.35/18.91 tff(24026,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB171)) | v116(constB171))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB171) | (~v117(constB171)))),
% 28.35/18.91 inference(transitivity,[status(thm)],[24025, 24023])).
% 28.35/18.91 tff(24027,plain,
% 28.35/18.91 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB171)) | v116(constB171))),
% 28.35/18.91 inference(quant_inst,[status(thm)],[])).
% 28.35/18.91 tff(24028,plain,
% 28.35/18.91 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB171) | (~v117(constB171))),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[24027, 24026])).
% 28.35/18.91 tff(24029,plain,
% 28.35/18.91 (v116(constB171)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24028, 272, 24022])).
% 28.35/18.91 tff(24030,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB171) | (~v116(constB171)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB171) | (~v116(constB171)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24031,plain,
% 28.35/18.91 (((~v116(constB171)) | v115(constB171)) <=> (v115(constB171) | (~v116(constB171)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24032,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB171)) | v115(constB171))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB171) | (~v116(constB171))))),
% 28.35/18.91 inference(monotonicity,[status(thm)],[24031])).
% 28.35/18.91 tff(24033,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB171)) | v115(constB171))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB171) | (~v116(constB171)))),
% 28.35/18.91 inference(transitivity,[status(thm)],[24032, 24030])).
% 28.35/18.91 tff(24034,plain,
% 28.35/18.91 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB171)) | v115(constB171))),
% 28.35/18.91 inference(quant_inst,[status(thm)],[])).
% 28.35/18.91 tff(24035,plain,
% 28.35/18.91 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB171) | (~v116(constB171))),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[24034, 24033])).
% 28.35/18.91 tff(24036,plain,
% 28.35/18.91 (v115(constB171)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24035, 286, 24029])).
% 28.35/18.91 tff(24037,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB171) | (~v115(constB171)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB171) | (~v115(constB171)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24038,plain,
% 28.35/18.91 (((~v115(constB171)) | v114(constB171)) <=> (v114(constB171) | (~v115(constB171)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24039,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB171)) | v114(constB171))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB171) | (~v115(constB171))))),
% 28.35/18.91 inference(monotonicity,[status(thm)],[24038])).
% 28.35/18.91 tff(24040,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB171)) | v114(constB171))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB171) | (~v115(constB171)))),
% 28.35/18.91 inference(transitivity,[status(thm)],[24039, 24037])).
% 28.35/18.91 tff(24041,plain,
% 28.35/18.91 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB171)) | v114(constB171))),
% 28.35/18.91 inference(quant_inst,[status(thm)],[])).
% 28.35/18.91 tff(24042,plain,
% 28.35/18.91 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB171) | (~v115(constB171))),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[24041, 24040])).
% 28.35/18.91 tff(24043,plain,
% 28.35/18.91 (v114(constB171)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24042, 300, 24036])).
% 28.35/18.91 tff(24044,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB171) | (~v114(constB171)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB171) | (~v114(constB171)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24045,plain,
% 28.35/18.91 (((~v114(constB171)) | v113(constB171)) <=> (v113(constB171) | (~v114(constB171)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24046,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB171)) | v113(constB171))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB171) | (~v114(constB171))))),
% 28.35/18.91 inference(monotonicity,[status(thm)],[24045])).
% 28.35/18.91 tff(24047,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB171)) | v113(constB171))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB171) | (~v114(constB171)))),
% 28.35/18.91 inference(transitivity,[status(thm)],[24046, 24044])).
% 28.35/18.91 tff(24048,plain,
% 28.35/18.91 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB171)) | v113(constB171))),
% 28.35/18.91 inference(quant_inst,[status(thm)],[])).
% 28.35/18.91 tff(24049,plain,
% 28.35/18.91 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB171) | (~v114(constB171))),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[24048, 24047])).
% 28.35/18.91 tff(24050,plain,
% 28.35/18.91 (v113(constB171)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24049, 314, 24043])).
% 28.35/18.91 tff(24051,assumption,(v26(constB171)), introduced(assumption)).
% 28.35/18.91 tff(24052,plain,
% 28.35/18.91 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB171))),
% 28.35/18.91 inference(quant_inst,[status(thm)],[])).
% 28.35/18.91 tff(24053,plain,
% 28.35/18.91 ($false),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24052, 95, 24051])).
% 28.35/18.91 tff(24054,plain,(~v26(constB171)), inference(lemma,lemma(discharge,[]))).
% 28.35/18.91 tff(24055,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | v112(constB171) | (~v113(constB171)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | v112(constB171) | (~v113(constB171)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24056,plain,
% 28.35/18.91 ((v26(constB171) | (~v113(constB171)) | v112(constB171)) <=> (v26(constB171) | v112(constB171) | (~v113(constB171)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24057,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | v112(constB171) | (~v113(constB171))))),
% 28.35/18.91 inference(monotonicity,[status(thm)],[24056])).
% 28.35/18.91 tff(24058,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | v112(constB171) | (~v113(constB171)))),
% 28.35/18.91 inference(transitivity,[status(thm)],[24057, 24055])).
% 28.35/18.91 tff(24059,plain,
% 28.35/18.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))),
% 28.35/18.91 inference(quant_inst,[status(thm)],[])).
% 28.35/18.91 tff(24060,plain,
% 28.35/18.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | v112(constB171) | (~v113(constB171))),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[24059, 24058])).
% 28.35/18.91 tff(24061,plain,
% 28.35/18.91 (v112(constB171) | (~v113(constB171))),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24060, 328, 24054])).
% 28.35/18.91 tff(24062,plain,
% 28.35/18.91 (v112(constB171)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24061, 24050])).
% 28.35/18.91 tff(24063,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB171) | (~v112(constB171)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v112(constB171)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24064,plain,
% 28.35/18.91 (((~v112(constB171)) | v108(constB171)) <=> (v108(constB171) | (~v112(constB171)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24065,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB171)) | v108(constB171))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB171) | (~v112(constB171))))),
% 28.35/18.91 inference(monotonicity,[status(thm)],[24064])).
% 28.35/18.91 tff(24066,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB171)) | v108(constB171))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v112(constB171)))),
% 28.35/18.91 inference(transitivity,[status(thm)],[24065, 24063])).
% 28.35/18.91 tff(24067,plain,
% 28.35/18.91 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB171)) | v108(constB171))),
% 28.35/18.91 inference(quant_inst,[status(thm)],[])).
% 28.35/18.91 tff(24068,plain,
% 28.35/18.91 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v112(constB171))),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[24067, 24066])).
% 28.35/18.91 tff(24069,plain,
% 28.35/18.91 (v108(constB171)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24068, 340, 24062])).
% 28.35/18.91 tff(24070,plain,
% 28.35/18.91 (nextState(constB171, constB172) <=> nextState(constB171, constB172)),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24071,axiom,(nextState(constB171, constB172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_171_1')).
% 28.35/18.91 tff(24072,plain,
% 28.35/18.91 (nextState(constB171, constB172)),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[24071, 24070])).
% 28.35/18.91 tff(24073,plain,
% 28.35/18.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24074,plain,
% 28.35/18.91 (((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172)) <=> ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24075,plain,
% 28.35/18.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171))))),
% 28.35/18.91 inference(monotonicity,[status(thm)],[24074])).
% 28.35/18.91 tff(24076,plain,
% 28.35/18.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 28.35/18.91 inference(transitivity,[status(thm)],[24075, 24073])).
% 28.35/18.91 tff(24077,plain,
% 28.35/18.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))),
% 28.35/18.91 inference(quant_inst,[status(thm)],[])).
% 28.35/18.91 tff(24078,plain,
% 28.35/18.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171))),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[24077, 24076])).
% 28.35/18.91 tff(24079,plain,
% 28.35/18.91 (v110(constB172) | (~v108(constB171))),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24078, 360, 24072])).
% 28.35/18.91 tff(24080,plain,
% 28.35/18.91 (v110(constB172)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24079, 24069])).
% 28.35/18.91 tff(24081,plain,
% 28.35/18.91 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24082,plain,
% 28.35/18.91 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))),
% 28.35/18.91 inference(quant_inst,[status(thm)],[])).
% 28.35/18.91 tff(24083,plain,
% 28.35/18.91 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172))),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[24082, 24081])).
% 28.35/18.91 tff(24084,plain,
% 28.35/18.91 (~v104(constB172)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24083, 378, 24072, 23915])).
% 28.35/18.91 tff(24085,plain,
% 28.35/18.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24086,plain,
% 28.35/18.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))),
% 28.35/18.91 inference(quant_inst,[status(thm)],[])).
% 28.35/18.91 tff(24087,plain,
% 28.35/18.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB171, constB172)) | v102(constB172) | v104(constB172)),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[24086, 24085])).
% 28.35/18.91 tff(24088,plain,
% 28.35/18.91 (v102(constB172) | v104(constB172)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24087, 392, 24072])).
% 28.35/18.91 tff(24089,plain,
% 28.35/18.91 (v102(constB172)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24088, 24084])).
% 28.35/18.91 tff(24090,plain,
% 28.35/18.91 (v1(constB172) <=> v1(constB172)),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24091,axiom,(v1(constB172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_172_1')).
% 28.35/18.91 tff(24092,plain,
% 28.35/18.91 (v1(constB172)),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[24091, 24090])).
% 28.35/18.91 tff(24093,plain,
% 28.35/18.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24094,plain,
% 28.35/18.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))),
% 28.35/18.91 inference(quant_inst,[status(thm)],[])).
% 28.35/18.91 tff(24095,plain,
% 28.35/18.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172))),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[24094, 24093])).
% 28.35/18.91 tff(24096,plain,
% 28.35/18.91 (v101(constB172) | (~v102(constB172))),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24095, 410, 24072, 24092])).
% 28.35/18.91 tff(24097,plain,
% 28.35/18.91 (v101(constB172)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24096, 24089])).
% 28.35/18.91 tff(24098,plain,
% 28.35/18.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24099,plain,
% 28.35/18.91 (((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172)) <=> ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24100,plain,
% 28.35/18.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172))))),
% 28.35/18.91 inference(monotonicity,[status(thm)],[24099])).
% 28.35/18.91 tff(24101,plain,
% 28.35/18.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 28.35/18.91 inference(transitivity,[status(thm)],[24100, 24098])).
% 28.35/18.91 tff(24102,plain,
% 28.35/18.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))),
% 28.35/18.91 inference(quant_inst,[status(thm)],[])).
% 28.35/18.91 tff(24103,plain,
% 28.35/18.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172))),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[24102, 24101])).
% 28.35/18.91 tff(24104,plain,
% 28.35/18.91 (v100(constB172) | (~v101(constB172)) | (~v110(constB172))),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24103, 425, 24072])).
% 28.35/18.91 tff(24105,plain,
% 28.35/18.91 (v100(constB172) | (~v110(constB172))),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24104, 24097])).
% 28.35/18.91 tff(24106,plain,
% 28.35/18.91 (v100(constB172)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24105, 24080])).
% 28.35/18.91 tff(24107,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB171)) | (~v130(constB171, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB171)) | (~v130(constB171, 2)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24108,plain,
% 28.35/18.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB171)) | (~v130(constB171, 2)))),
% 28.35/18.91 inference(quant_inst,[status(thm)],[])).
% 28.35/18.91 tff(24109,plain,
% 28.35/18.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB171)) | (~v130(constB171, 2))),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[24108, 24107])).
% 28.35/18.91 tff(24110,plain,
% 28.35/18.91 (~v130(constB171, 2)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24109, 785, 24008])).
% 28.35/18.91 tff(24111,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB171, 2)) | v26(constB171) | v130(constB171, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB171, 2)) | v26(constB171) | v130(constB171, 2))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24112,plain,
% 28.35/18.91 ((v26(constB171) | v130(constB171, 2) | (~v127(constB171, 2))) <=> ((~v127(constB171, 2)) | v26(constB171) | v130(constB171, 2))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24113,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB171) | v130(constB171, 2) | (~v127(constB171, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB171, 2)) | v26(constB171) | v130(constB171, 2)))),
% 28.35/18.91 inference(monotonicity,[status(thm)],[24112])).
% 28.35/18.91 tff(24114,plain,
% 28.35/18.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB171) | v130(constB171, 2) | (~v127(constB171, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB171, 2)) | v26(constB171) | v130(constB171, 2))),
% 28.35/18.91 inference(transitivity,[status(thm)],[24113, 24111])).
% 28.35/18.91 tff(24115,plain,
% 28.35/18.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB171) | v130(constB171, 2) | (~v127(constB171, 2)))),
% 28.35/18.91 inference(quant_inst,[status(thm)],[])).
% 28.35/18.91 tff(24116,plain,
% 28.35/18.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB171, 2)) | v26(constB171) | v130(constB171, 2)),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[24115, 24114])).
% 28.35/18.91 tff(24117,plain,
% 28.35/18.91 ((~v127(constB171, 2)) | v130(constB171, 2)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24116, 455, 24054])).
% 28.35/18.91 tff(24118,plain,
% 28.35/18.91 (~v127(constB171, 2)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24117, 24110])).
% 28.35/18.91 tff(24119,plain,
% 28.35/18.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB171, constB172)) | v127(constB171, 2) | (~v129(constB172, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB171, constB172)) | v127(constB171, 2) | (~v129(constB172, 2)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24120,plain,
% 28.35/18.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB171, constB172)) | v127(constB171, 2) | (~v129(constB172, 2)))),
% 28.35/18.91 inference(quant_inst,[status(thm)],[])).
% 28.35/18.91 tff(24121,plain,
% 28.35/18.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB171, constB172)) | v127(constB171, 2) | (~v129(constB172, 2))),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[24120, 24119])).
% 28.35/18.91 tff(24122,plain,
% 28.35/18.91 (v127(constB171, 2) | (~v129(constB172, 2))),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24121, 473, 24072])).
% 28.35/18.91 tff(24123,plain,
% 28.35/18.91 (~v129(constB172, 2)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24122, 24118])).
% 28.35/18.91 tff(24124,plain,
% 28.35/18.91 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB172, 2)) | v129(constB172, 2) | (~v100(constB172)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB172, 2)) | v129(constB172, 2) | (~v100(constB172)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24125,plain,
% 28.35/18.91 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB172, 2)) | v129(constB172, 2) | (~v100(constB172)))),
% 28.35/18.91 inference(quant_inst,[status(thm)],[])).
% 28.35/18.91 tff(24126,plain,
% 28.35/18.91 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB172, 2)) | v129(constB172, 2) | (~v100(constB172))),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[24125, 24124])).
% 28.35/18.91 tff(24127,plain,
% 28.35/18.91 ((~v90(constB172, 2)) | (~v100(constB172))),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24126, 488, 24123])).
% 28.35/18.91 tff(24128,plain,
% 28.35/18.91 (~v90(constB172, 2)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24127, 24106])).
% 28.35/18.91 tff(24129,plain,
% 28.35/18.91 ((~v1(constB173)) <=> (~v1(constB173))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24130,axiom,(~v1(constB173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_173_1_1')).
% 28.35/18.91 tff(24131,plain,
% 28.35/18.91 (~v1(constB173)),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[24130, 24129])).
% 28.35/18.91 tff(24132,plain,
% 28.35/18.91 (nextState(constB172, constB173) <=> nextState(constB172, constB173)),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24133,axiom,(nextState(constB172, constB173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_172_1')).
% 28.35/18.91 tff(24134,plain,
% 28.35/18.91 (nextState(constB172, constB173)),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[24133, 24132])).
% 28.35/18.91 tff(24135,plain,
% 28.35/18.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24136,plain,
% 28.35/18.91 (((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173)) <=> (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24137,plain,
% 28.35/18.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173))))),
% 28.35/18.91 inference(monotonicity,[status(thm)],[24136])).
% 28.35/18.91 tff(24138,plain,
% 28.35/18.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 28.35/18.91 inference(transitivity,[status(thm)],[24137, 24135])).
% 28.35/18.91 tff(24139,plain,
% 28.35/18.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))),
% 28.35/18.91 inference(quant_inst,[status(thm)],[])).
% 28.35/18.91 tff(24140,plain,
% 28.35/18.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173))),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[24139, 24138])).
% 28.35/18.91 tff(24141,plain,
% 28.35/18.91 (~v101(constB173)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24140, 138, 24134, 24131])).
% 28.35/18.91 tff(24142,plain,
% 28.35/18.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24143,plain,
% 28.35/18.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))),
% 28.35/18.91 inference(quant_inst,[status(thm)],[])).
% 28.35/18.91 tff(24144,plain,
% 28.35/18.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173))),
% 28.35/18.91 inference(modus_ponens,[status(thm)],[24143, 24142])).
% 28.35/18.91 tff(24145,plain,
% 28.35/18.91 (v101(constB173) | (~v100(constB173))),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24144, 155, 24134])).
% 28.35/18.91 tff(24146,plain,
% 28.35/18.91 (~v100(constB173)),
% 28.35/18.91 inference(unit_resolution,[status(thm)],[24145, 24141])).
% 28.35/18.91 tff(24147,plain,
% 28.35/18.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB172, 2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB172, 2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 2)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24148,plain,
% 28.35/18.91 (((~nextState(constB172, constB173)) | v90(constB172, 2) | v100(constB173) | (~v90(constB173, 2))) <=> (v90(constB172, 2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 2)))),
% 28.35/18.91 inference(rewrite,[status(thm)],[])).
% 28.35/18.91 tff(24149,plain,
% 28.35/18.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB172, constB173)) | v90(constB172, 2) | v100(constB173) | (~v90(constB173, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB172, 2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 2))))),
% 28.35/18.91 inference(monotonicity,[status(thm)],[24148])).
% 28.35/18.91 tff(24150,plain,
% 28.35/18.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB172, constB173)) | v90(constB172, 2) | v100(constB173) | (~v90(constB173, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB172, 2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 2)))),
% 28.35/18.92 inference(transitivity,[status(thm)],[24149, 24147])).
% 28.35/18.92 tff(24151,plain,
% 28.35/18.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB172, constB173)) | v90(constB172, 2) | v100(constB173) | (~v90(constB173, 2)))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24152,plain,
% 28.35/18.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB172, 2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 2))),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24151, 24150])).
% 28.35/18.92 tff(24153,plain,
% 28.35/18.92 (v90(constB172, 2) | v100(constB173) | (~v90(constB173, 2))),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24152, 170, 24134])).
% 28.35/18.92 tff(24154,plain,
% 28.35/18.92 (v90(constB172, 2) | (~v90(constB173, 2))),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24153, 24146])).
% 28.35/18.92 tff(24155,plain,
% 28.35/18.92 (~v90(constB173, 2)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24154, 24128])).
% 28.35/18.92 tff(24156,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB171)) | v130(constB171, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB171)) | v130(constB171, 1))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24157,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB171)) | v130(constB171, 1))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24158,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB171)) | v130(constB171, 1)),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24157, 24156])).
% 28.35/18.92 tff(24159,plain,
% 28.35/18.92 (v130(constB171, 1)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24158, 841, 24008])).
% 28.35/18.92 tff(24160,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB171) | (~v130(constB171, 1)) | v127(constB171, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB171) | (~v130(constB171, 1)) | v127(constB171, 1))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24161,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB171) | (~v130(constB171, 1)) | v127(constB171, 1))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24162,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB171) | (~v130(constB171, 1)) | v127(constB171, 1)),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24161, 24160])).
% 28.35/18.92 tff(24163,plain,
% 28.35/18.92 ((~v130(constB171, 1)) | v127(constB171, 1)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24162, 855, 24054])).
% 28.35/18.92 tff(24164,plain,
% 28.35/18.92 (v127(constB171, 1)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24163, 24159])).
% 28.35/18.92 tff(24165,plain,
% 28.35/18.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB171, constB172)) | (~v127(constB171, 1)) | v129(constB172, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB171, constB172)) | (~v127(constB171, 1)) | v129(constB172, 1))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24166,plain,
% 28.35/18.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB171, constB172)) | (~v127(constB171, 1)) | v129(constB172, 1))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24167,plain,
% 28.35/18.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB171, constB172)) | (~v127(constB171, 1)) | v129(constB172, 1)),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24166, 24165])).
% 28.35/18.92 tff(24168,plain,
% 28.35/18.92 ((~v127(constB171, 1)) | v129(constB172, 1)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24167, 870, 24072])).
% 28.35/18.92 tff(24169,plain,
% 28.35/18.92 (v129(constB172, 1)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24168, 24164])).
% 28.35/18.92 tff(24170,plain,
% 28.35/18.92 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB172, 1) | (~v129(constB172, 1)) | (~v100(constB172)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB172, 1) | (~v129(constB172, 1)) | (~v100(constB172)))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24171,plain,
% 28.35/18.92 ((v90(constB172, 1) | (~v100(constB172)) | (~v129(constB172, 1))) <=> (v90(constB172, 1) | (~v129(constB172, 1)) | (~v100(constB172)))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24172,plain,
% 28.35/18.92 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB172, 1) | (~v100(constB172)) | (~v129(constB172, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB172, 1) | (~v129(constB172, 1)) | (~v100(constB172))))),
% 28.35/18.92 inference(monotonicity,[status(thm)],[24171])).
% 28.35/18.92 tff(24173,plain,
% 28.35/18.92 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB172, 1) | (~v100(constB172)) | (~v129(constB172, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB172, 1) | (~v129(constB172, 1)) | (~v100(constB172)))),
% 28.35/18.92 inference(transitivity,[status(thm)],[24172, 24170])).
% 28.35/18.92 tff(24174,plain,
% 28.35/18.92 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB172, 1) | (~v100(constB172)) | (~v129(constB172, 1)))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24175,plain,
% 28.35/18.92 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB172, 1) | (~v129(constB172, 1)) | (~v100(constB172))),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24174, 24173])).
% 28.35/18.92 tff(24176,plain,
% 28.35/18.92 (v90(constB172, 1) | (~v100(constB172))),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24175, 885, 24169])).
% 28.35/18.92 tff(24177,plain,
% 28.35/18.92 (v90(constB172, 1)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24176, 24106])).
% 28.35/18.92 tff(24178,plain,
% 28.35/18.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB172, 1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB172, 1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 1))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24179,plain,
% 28.35/18.92 (((~nextState(constB172, constB173)) | (~v90(constB172, 1)) | v100(constB173) | v90(constB173, 1)) <=> ((~v90(constB172, 1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 1))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24180,plain,
% 28.35/18.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB172, constB173)) | (~v90(constB172, 1)) | v100(constB173) | v90(constB173, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB172, 1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 1)))),
% 28.35/18.92 inference(monotonicity,[status(thm)],[24179])).
% 28.35/18.92 tff(24181,plain,
% 28.35/18.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB172, constB173)) | (~v90(constB172, 1)) | v100(constB173) | v90(constB173, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB172, 1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 1))),
% 28.35/18.92 inference(transitivity,[status(thm)],[24180, 24178])).
% 28.35/18.92 tff(24182,plain,
% 28.35/18.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB172, constB173)) | (~v90(constB172, 1)) | v100(constB173) | v90(constB173, 1))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24183,plain,
% 28.35/18.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB172, 1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 1)),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24182, 24181])).
% 28.35/18.92 tff(24184,plain,
% 28.35/18.92 ((~v90(constB172, 1)) | v100(constB173) | v90(constB173, 1)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24183, 903, 24134])).
% 28.35/18.92 tff(24185,plain,
% 28.35/18.92 ((~v90(constB172, 1)) | v90(constB173, 1)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24184, 24146])).
% 28.35/18.92 tff(24186,plain,
% 28.35/18.92 (v90(constB173, 1)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24185, 24177])).
% 28.35/18.92 tff(24187,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB171)) | (~v130(constB171, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB171)) | (~v130(constB171, 0)))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24188,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB171)) | (~v130(constB171, 0)))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24189,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB171)) | (~v130(constB171, 0))),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24188, 24187])).
% 28.35/18.92 tff(24190,plain,
% 28.35/18.92 (~v130(constB171, 0)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24189, 919, 24008])).
% 28.35/18.92 tff(24191,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB171, 0)) | v26(constB171) | v130(constB171, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB171, 0)) | v26(constB171) | v130(constB171, 0))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24192,plain,
% 28.35/18.92 ((v26(constB171) | v130(constB171, 0) | (~v127(constB171, 0))) <=> ((~v127(constB171, 0)) | v26(constB171) | v130(constB171, 0))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24193,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB171) | v130(constB171, 0) | (~v127(constB171, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB171, 0)) | v26(constB171) | v130(constB171, 0)))),
% 28.35/18.92 inference(monotonicity,[status(thm)],[24192])).
% 28.35/18.92 tff(24194,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB171) | v130(constB171, 0) | (~v127(constB171, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB171, 0)) | v26(constB171) | v130(constB171, 0))),
% 28.35/18.92 inference(transitivity,[status(thm)],[24193, 24191])).
% 28.35/18.92 tff(24195,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB171) | v130(constB171, 0) | (~v127(constB171, 0)))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24196,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB171, 0)) | v26(constB171) | v130(constB171, 0)),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24195, 24194])).
% 28.35/18.92 tff(24197,plain,
% 28.35/18.92 ((~v127(constB171, 0)) | v130(constB171, 0)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24196, 933, 24054])).
% 28.35/18.92 tff(24198,plain,
% 28.35/18.92 (~v127(constB171, 0)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24197, 24190])).
% 28.35/18.92 tff(24199,plain,
% 28.35/18.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB171, constB172)) | v127(constB171, 0) | (~v129(constB172, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB171, constB172)) | v127(constB171, 0) | (~v129(constB172, 0)))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24200,plain,
% 28.35/18.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB171, constB172)) | v127(constB171, 0) | (~v129(constB172, 0)))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24201,plain,
% 28.35/18.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB171, constB172)) | v127(constB171, 0) | (~v129(constB172, 0))),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24200, 24199])).
% 28.35/18.92 tff(24202,plain,
% 28.35/18.92 (v127(constB171, 0) | (~v129(constB172, 0))),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24201, 951, 24072])).
% 28.35/18.92 tff(24203,plain,
% 28.35/18.92 (~v129(constB172, 0)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24202, 24198])).
% 28.35/18.92 tff(24204,plain,
% 28.35/18.92 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB172, 0)) | v129(constB172, 0) | (~v100(constB172)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB172, 0)) | v129(constB172, 0) | (~v100(constB172)))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24205,plain,
% 28.35/18.92 (((~v90(constB172, 0)) | (~v100(constB172)) | v129(constB172, 0)) <=> ((~v90(constB172, 0)) | v129(constB172, 0) | (~v100(constB172)))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24206,plain,
% 28.35/18.92 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB172, 0)) | (~v100(constB172)) | v129(constB172, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB172, 0)) | v129(constB172, 0) | (~v100(constB172))))),
% 28.35/18.92 inference(monotonicity,[status(thm)],[24205])).
% 28.35/18.92 tff(24207,plain,
% 28.35/18.92 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB172, 0)) | (~v100(constB172)) | v129(constB172, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB172, 0)) | v129(constB172, 0) | (~v100(constB172)))),
% 28.35/18.92 inference(transitivity,[status(thm)],[24206, 24204])).
% 28.35/18.92 tff(24208,plain,
% 28.35/18.92 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB172, 0)) | (~v100(constB172)) | v129(constB172, 0))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24209,plain,
% 28.35/18.92 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB172, 0)) | v129(constB172, 0) | (~v100(constB172))),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24208, 24207])).
% 28.35/18.92 tff(24210,plain,
% 28.35/18.92 ((~v90(constB172, 0)) | (~v100(constB172))),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24209, 966, 24203])).
% 28.35/18.92 tff(24211,plain,
% 28.35/18.92 (~v90(constB172, 0)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24210, 24106])).
% 28.35/18.92 tff(24212,plain,
% 28.35/18.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB172, 0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB172, 0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 0)))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24213,plain,
% 28.35/18.92 (((~nextState(constB172, constB173)) | v90(constB172, 0) | v100(constB173) | (~v90(constB173, 0))) <=> (v90(constB172, 0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 0)))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24214,plain,
% 28.35/18.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB172, constB173)) | v90(constB172, 0) | v100(constB173) | (~v90(constB173, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB172, 0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 0))))),
% 28.35/18.92 inference(monotonicity,[status(thm)],[24213])).
% 28.35/18.92 tff(24215,plain,
% 28.35/18.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB172, constB173)) | v90(constB172, 0) | v100(constB173) | (~v90(constB173, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB172, 0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 0)))),
% 28.35/18.92 inference(transitivity,[status(thm)],[24214, 24212])).
% 28.35/18.92 tff(24216,plain,
% 28.35/18.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB172, constB173)) | v90(constB172, 0) | v100(constB173) | (~v90(constB173, 0)))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24217,plain,
% 28.35/18.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB172, 0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 0))),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24216, 24215])).
% 28.35/18.92 tff(24218,plain,
% 28.35/18.92 (v90(constB172, 0) | v100(constB173) | (~v90(constB173, 0))),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24217, 212, 24134])).
% 28.35/18.92 tff(24219,plain,
% 28.35/18.92 (v90(constB172, 0) | (~v90(constB173, 0))),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24218, 24146])).
% 28.35/18.92 tff(24220,plain,
% 28.35/18.92 (~v90(constB173, 0)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24219, 24211])).
% 28.35/18.92 tff(24221,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB173, 0) | (~v90(constB173, 1)) | v90(constB173, 2) | v121(constB173))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB173, 0) | (~v90(constB173, 1)) | v90(constB173, 2) | v121(constB173))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24222,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB173, 0) | (~v90(constB173, 1)) | v90(constB173, 2) | v121(constB173))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24223,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB173, 0) | (~v90(constB173, 1)) | v90(constB173, 2) | v121(constB173)),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24222, 24221])).
% 28.35/18.92 tff(24224,plain,
% 28.35/18.92 (v121(constB173)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24223, 993, 24220, 24186, 24155])).
% 28.35/18.92 tff(24225,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB173)) | v117(constB173))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB173)) | v117(constB173))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24226,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB173)) | v117(constB173))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24227,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB173)) | v117(constB173)),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24226, 24225])).
% 28.35/18.92 tff(24228,plain,
% 28.35/18.92 (v117(constB173)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24227, 1004, 24224])).
% 28.35/18.92 tff(24229,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB173) | (~v117(constB173)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB173) | (~v117(constB173)))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24230,plain,
% 28.35/18.92 (((~v117(constB173)) | v116(constB173)) <=> (v116(constB173) | (~v117(constB173)))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24231,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB173)) | v116(constB173))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB173) | (~v117(constB173))))),
% 28.35/18.92 inference(monotonicity,[status(thm)],[24230])).
% 28.35/18.92 tff(24232,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB173)) | v116(constB173))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB173) | (~v117(constB173)))),
% 28.35/18.92 inference(transitivity,[status(thm)],[24231, 24229])).
% 28.35/18.92 tff(24233,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB173)) | v116(constB173))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24234,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB173) | (~v117(constB173))),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24233, 24232])).
% 28.35/18.92 tff(24235,plain,
% 28.35/18.92 (v116(constB173)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24234, 272, 24228])).
% 28.35/18.92 tff(24236,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB173) | (~v116(constB173)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB173) | (~v116(constB173)))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24237,plain,
% 28.35/18.92 (((~v116(constB173)) | v115(constB173)) <=> (v115(constB173) | (~v116(constB173)))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24238,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB173)) | v115(constB173))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB173) | (~v116(constB173))))),
% 28.35/18.92 inference(monotonicity,[status(thm)],[24237])).
% 28.35/18.92 tff(24239,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB173)) | v115(constB173))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB173) | (~v116(constB173)))),
% 28.35/18.92 inference(transitivity,[status(thm)],[24238, 24236])).
% 28.35/18.92 tff(24240,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB173)) | v115(constB173))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24241,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB173) | (~v116(constB173))),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24240, 24239])).
% 28.35/18.92 tff(24242,plain,
% 28.35/18.92 (v115(constB173)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24241, 286, 24235])).
% 28.35/18.92 tff(24243,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB173) | (~v115(constB173)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB173) | (~v115(constB173)))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24244,plain,
% 28.35/18.92 (((~v115(constB173)) | v114(constB173)) <=> (v114(constB173) | (~v115(constB173)))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24245,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB173)) | v114(constB173))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB173) | (~v115(constB173))))),
% 28.35/18.92 inference(monotonicity,[status(thm)],[24244])).
% 28.35/18.92 tff(24246,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB173)) | v114(constB173))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB173) | (~v115(constB173)))),
% 28.35/18.92 inference(transitivity,[status(thm)],[24245, 24243])).
% 28.35/18.92 tff(24247,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB173)) | v114(constB173))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24248,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB173) | (~v115(constB173))),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24247, 24246])).
% 28.35/18.92 tff(24249,plain,
% 28.35/18.92 (v114(constB173)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24248, 300, 24242])).
% 28.35/18.92 tff(24250,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB173) | (~v114(constB173)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB173) | (~v114(constB173)))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24251,plain,
% 28.35/18.92 (((~v114(constB173)) | v113(constB173)) <=> (v113(constB173) | (~v114(constB173)))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24252,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB173)) | v113(constB173))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB173) | (~v114(constB173))))),
% 28.35/18.92 inference(monotonicity,[status(thm)],[24251])).
% 28.35/18.92 tff(24253,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB173)) | v113(constB173))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB173) | (~v114(constB173)))),
% 28.35/18.92 inference(transitivity,[status(thm)],[24252, 24250])).
% 28.35/18.92 tff(24254,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB173)) | v113(constB173))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24255,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB173) | (~v114(constB173))),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24254, 24253])).
% 28.35/18.92 tff(24256,plain,
% 28.35/18.92 (v113(constB173)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24255, 314, 24249])).
% 28.35/18.92 tff(24257,assumption,(v26(constB173)), introduced(assumption)).
% 28.35/18.92 tff(24258,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB173))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24259,plain,
% 28.35/18.92 ($false),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24258, 95, 24257])).
% 28.35/18.92 tff(24260,plain,(~v26(constB173)), inference(lemma,lemma(discharge,[]))).
% 28.35/18.92 tff(24261,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | (~v113(constB173)) | v112(constB173))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB173) | (~v113(constB173)) | v112(constB173))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24262,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | (~v113(constB173)) | v112(constB173))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24263,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB173) | (~v113(constB173)) | v112(constB173)),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24262, 24261])).
% 28.35/18.92 tff(24264,plain,
% 28.35/18.92 ((~v113(constB173)) | v112(constB173)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24263, 328, 24260])).
% 28.35/18.92 tff(24265,plain,
% 28.35/18.92 (v112(constB173)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24264, 24256])).
% 28.35/18.92 tff(24266,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB173) | (~v112(constB173)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v112(constB173)))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24267,plain,
% 28.35/18.92 (((~v112(constB173)) | v108(constB173)) <=> (v108(constB173) | (~v112(constB173)))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24268,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB173)) | v108(constB173))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB173) | (~v112(constB173))))),
% 28.35/18.92 inference(monotonicity,[status(thm)],[24267])).
% 28.35/18.92 tff(24269,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB173)) | v108(constB173))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v112(constB173)))),
% 28.35/18.92 inference(transitivity,[status(thm)],[24268, 24266])).
% 28.35/18.92 tff(24270,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB173)) | v108(constB173))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24271,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v112(constB173))),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24270, 24269])).
% 28.35/18.92 tff(24272,plain,
% 28.35/18.92 (v108(constB173)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24271, 340, 24265])).
% 28.35/18.92 tff(24273,plain,
% 28.35/18.92 (nextState(constB173, constB174) <=> nextState(constB173, constB174)),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24274,axiom,(nextState(constB173, constB174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_173_1')).
% 28.35/18.92 tff(24275,plain,
% 28.35/18.92 (nextState(constB173, constB174)),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24274, 24273])).
% 28.35/18.92 tff(24276,plain,
% 28.35/18.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24277,plain,
% 28.35/18.92 (((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174)) <=> ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24278,plain,
% 28.35/18.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173))))),
% 28.35/18.92 inference(monotonicity,[status(thm)],[24277])).
% 28.35/18.92 tff(24279,plain,
% 28.35/18.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 28.35/18.92 inference(transitivity,[status(thm)],[24278, 24276])).
% 28.35/18.92 tff(24280,plain,
% 28.35/18.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24281,plain,
% 28.35/18.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173))),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24280, 24279])).
% 28.35/18.92 tff(24282,plain,
% 28.35/18.92 (v110(constB174) | (~v108(constB173))),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24281, 360, 24275])).
% 28.35/18.92 tff(24283,plain,
% 28.35/18.92 (v110(constB174)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24282, 24272])).
% 28.35/18.92 tff(24284,plain,
% 28.35/18.92 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24285,plain,
% 28.35/18.92 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24286,plain,
% 28.35/18.92 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174))),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24285, 24284])).
% 28.35/18.92 tff(24287,plain,
% 28.35/18.92 (~v104(constB174)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24286, 378, 24275, 24131])).
% 28.35/18.92 tff(24288,plain,
% 28.35/18.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24289,plain,
% 28.35/18.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24290,plain,
% 28.35/18.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB173, constB174)) | v102(constB174) | v104(constB174)),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24289, 24288])).
% 28.35/18.92 tff(24291,plain,
% 28.35/18.92 (v102(constB174) | v104(constB174)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24290, 392, 24275])).
% 28.35/18.92 tff(24292,plain,
% 28.35/18.92 (v102(constB174)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24291, 24287])).
% 28.35/18.92 tff(24293,plain,
% 28.35/18.92 (v1(constB174) <=> v1(constB174)),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24294,axiom,(v1(constB174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_174_1')).
% 28.35/18.92 tff(24295,plain,
% 28.35/18.92 (v1(constB174)),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24294, 24293])).
% 28.35/18.92 tff(24296,plain,
% 28.35/18.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24297,plain,
% 28.35/18.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24298,plain,
% 28.35/18.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174))),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24297, 24296])).
% 28.35/18.92 tff(24299,plain,
% 28.35/18.92 (v101(constB174) | (~v102(constB174))),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24298, 410, 24275, 24295])).
% 28.35/18.92 tff(24300,plain,
% 28.35/18.92 (v101(constB174)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24299, 24292])).
% 28.35/18.92 tff(24301,plain,
% 28.35/18.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24302,plain,
% 28.35/18.92 (((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174)) <=> ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24303,plain,
% 28.35/18.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174))))),
% 28.35/18.92 inference(monotonicity,[status(thm)],[24302])).
% 28.35/18.92 tff(24304,plain,
% 28.35/18.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 28.35/18.92 inference(transitivity,[status(thm)],[24303, 24301])).
% 28.35/18.92 tff(24305,plain,
% 28.35/18.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24306,plain,
% 28.35/18.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174))),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24305, 24304])).
% 28.35/18.92 tff(24307,plain,
% 28.35/18.92 (v100(constB174) | (~v101(constB174)) | (~v110(constB174))),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24306, 425, 24275])).
% 28.35/18.92 tff(24308,plain,
% 28.35/18.92 (v100(constB174) | (~v110(constB174))),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24307, 24300])).
% 28.35/18.92 tff(24309,plain,
% 28.35/18.92 (v100(constB174)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24308, 24283])).
% 28.35/18.92 tff(24310,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB173)) | (~v130(constB173, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB173)) | (~v130(constB173, 2)))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24311,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB173)) | (~v130(constB173, 2)))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24312,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB173)) | (~v130(constB173, 2))),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24311, 24310])).
% 28.35/18.92 tff(24313,plain,
% 28.35/18.92 (~v130(constB173, 2)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24312, 1155, 24224])).
% 28.35/18.92 tff(24314,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB173, 2)) | v26(constB173) | v130(constB173, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB173, 2)) | v26(constB173) | v130(constB173, 2))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24315,plain,
% 28.35/18.92 ((v26(constB173) | v130(constB173, 2) | (~v127(constB173, 2))) <=> ((~v127(constB173, 2)) | v26(constB173) | v130(constB173, 2))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24316,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB173) | v130(constB173, 2) | (~v127(constB173, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB173, 2)) | v26(constB173) | v130(constB173, 2)))),
% 28.35/18.92 inference(monotonicity,[status(thm)],[24315])).
% 28.35/18.92 tff(24317,plain,
% 28.35/18.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB173) | v130(constB173, 2) | (~v127(constB173, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB173, 2)) | v26(constB173) | v130(constB173, 2))),
% 28.35/18.92 inference(transitivity,[status(thm)],[24316, 24314])).
% 28.35/18.92 tff(24318,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB173) | v130(constB173, 2) | (~v127(constB173, 2)))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24319,plain,
% 28.35/18.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB173, 2)) | v26(constB173) | v130(constB173, 2)),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24318, 24317])).
% 28.35/18.92 tff(24320,plain,
% 28.35/18.92 ((~v127(constB173, 2)) | v130(constB173, 2)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24319, 455, 24260])).
% 28.35/18.92 tff(24321,plain,
% 28.35/18.92 (~v127(constB173, 2)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24320, 24313])).
% 28.35/18.92 tff(24322,plain,
% 28.35/18.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB173, constB174)) | v127(constB173, 2) | (~v129(constB174, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB173, constB174)) | v127(constB173, 2) | (~v129(constB174, 2)))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24323,plain,
% 28.35/18.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB173, constB174)) | v127(constB173, 2) | (~v129(constB174, 2)))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24324,plain,
% 28.35/18.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB173, constB174)) | v127(constB173, 2) | (~v129(constB174, 2))),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24323, 24322])).
% 28.35/18.92 tff(24325,plain,
% 28.35/18.92 (v127(constB173, 2) | (~v129(constB174, 2))),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24324, 473, 24275])).
% 28.35/18.92 tff(24326,plain,
% 28.35/18.92 (~v129(constB174, 2)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24325, 24321])).
% 28.35/18.92 tff(24327,plain,
% 28.35/18.92 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB174, 2)) | v129(constB174, 2) | (~v100(constB174)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB174, 2)) | v129(constB174, 2) | (~v100(constB174)))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24328,plain,
% 28.35/18.92 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB174, 2)) | v129(constB174, 2) | (~v100(constB174)))),
% 28.35/18.92 inference(quant_inst,[status(thm)],[])).
% 28.35/18.92 tff(24329,plain,
% 28.35/18.92 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB174, 2)) | v129(constB174, 2) | (~v100(constB174))),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24328, 24327])).
% 28.35/18.92 tff(24330,plain,
% 28.35/18.92 ((~v90(constB174, 2)) | (~v100(constB174))),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24329, 488, 24326])).
% 28.35/18.92 tff(24331,plain,
% 28.35/18.92 (~v90(constB174, 2)),
% 28.35/18.92 inference(unit_resolution,[status(thm)],[24330, 24309])).
% 28.35/18.92 tff(24332,plain,
% 28.35/18.92 ((~v1(constB175)) <=> (~v1(constB175))),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24333,axiom,(~v1(constB175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_175_1_1')).
% 28.35/18.92 tff(24334,plain,
% 28.35/18.92 (~v1(constB175)),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24333, 24332])).
% 28.35/18.92 tff(24335,plain,
% 28.35/18.92 (nextState(constB174, constB175) <=> nextState(constB174, constB175)),
% 28.35/18.92 inference(rewrite,[status(thm)],[])).
% 28.35/18.92 tff(24336,axiom,(nextState(constB174, constB175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_174_1')).
% 28.35/18.92 tff(24337,plain,
% 28.35/18.92 (nextState(constB174, constB175)),
% 28.35/18.92 inference(modus_ponens,[status(thm)],[24336, 24335])).
% 28.35/18.92 tff(24338,plain,
% 28.35/18.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24339,plain,
% 28.35/18.93 (((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175)) <=> (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24340,plain,
% 28.35/18.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175))))),
% 28.35/18.93 inference(monotonicity,[status(thm)],[24339])).
% 28.35/18.93 tff(24341,plain,
% 28.35/18.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 28.35/18.93 inference(transitivity,[status(thm)],[24340, 24338])).
% 28.35/18.93 tff(24342,plain,
% 28.35/18.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24343,plain,
% 28.35/18.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175))),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24342, 24341])).
% 28.35/18.93 tff(24344,plain,
% 28.35/18.93 (~v101(constB175)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24343, 138, 24337, 24334])).
% 28.35/18.93 tff(24345,plain,
% 28.35/18.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24346,plain,
% 28.35/18.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24347,plain,
% 28.35/18.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175))),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24346, 24345])).
% 28.35/18.93 tff(24348,plain,
% 28.35/18.93 (v101(constB175) | (~v100(constB175))),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24347, 155, 24337])).
% 28.35/18.93 tff(24349,plain,
% 28.35/18.93 (~v100(constB175)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24348, 24344])).
% 28.35/18.93 tff(24350,plain,
% 28.35/18.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB174, 2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB174, 2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, 2)))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24351,plain,
% 28.35/18.93 (((~nextState(constB174, constB175)) | v90(constB174, 2) | v100(constB175) | (~v90(constB175, 2))) <=> (v90(constB174, 2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, 2)))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24352,plain,
% 28.35/18.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB174, constB175)) | v90(constB174, 2) | v100(constB175) | (~v90(constB175, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB174, 2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, 2))))),
% 28.35/18.93 inference(monotonicity,[status(thm)],[24351])).
% 28.35/18.93 tff(24353,plain,
% 28.35/18.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB174, constB175)) | v90(constB174, 2) | v100(constB175) | (~v90(constB175, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB174, 2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, 2)))),
% 28.35/18.93 inference(transitivity,[status(thm)],[24352, 24350])).
% 28.35/18.93 tff(24354,plain,
% 28.35/18.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB174, constB175)) | v90(constB174, 2) | v100(constB175) | (~v90(constB175, 2)))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24355,plain,
% 28.35/18.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB174, 2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, 2))),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24354, 24353])).
% 28.35/18.93 tff(24356,plain,
% 28.35/18.93 (v90(constB174, 2) | v100(constB175) | (~v90(constB175, 2))),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24355, 170, 24337])).
% 28.35/18.93 tff(24357,plain,
% 28.35/18.93 (v90(constB174, 2) | (~v90(constB175, 2))),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24356, 24349])).
% 28.35/18.93 tff(24358,plain,
% 28.35/18.93 (~v90(constB175, 2)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24357, 24331])).
% 28.35/18.93 tff(24359,plain,
% 28.35/18.93 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB173)) | v130(constB173, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB173)) | v130(constB173, 1))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24360,plain,
% 28.35/18.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB173)) | v130(constB173, 1))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24361,plain,
% 28.35/18.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB173)) | v130(constB173, 1)),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24360, 24359])).
% 28.35/18.93 tff(24362,plain,
% 28.35/18.93 (v130(constB173, 1)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24361, 1235, 24224])).
% 28.35/18.93 tff(24363,plain,
% 28.35/18.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB173) | (~v130(constB173, 1)) | v127(constB173, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB173) | (~v130(constB173, 1)) | v127(constB173, 1))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24364,plain,
% 28.35/18.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB173) | (~v130(constB173, 1)) | v127(constB173, 1))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24365,plain,
% 28.35/18.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB173) | (~v130(constB173, 1)) | v127(constB173, 1)),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24364, 24363])).
% 28.35/18.93 tff(24366,plain,
% 28.35/18.93 ((~v130(constB173, 1)) | v127(constB173, 1)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24365, 855, 24260])).
% 28.35/18.93 tff(24367,plain,
% 28.35/18.93 (v127(constB173, 1)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24366, 24362])).
% 28.35/18.93 tff(24368,plain,
% 28.35/18.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB173, constB174)) | (~v127(constB173, 1)) | v129(constB174, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB173, constB174)) | (~v127(constB173, 1)) | v129(constB174, 1))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24369,plain,
% 28.35/18.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB173, constB174)) | (~v127(constB173, 1)) | v129(constB174, 1))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24370,plain,
% 28.35/18.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB173, constB174)) | (~v127(constB173, 1)) | v129(constB174, 1)),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24369, 24368])).
% 28.35/18.93 tff(24371,plain,
% 28.35/18.93 ((~v127(constB173, 1)) | v129(constB174, 1)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24370, 870, 24275])).
% 28.35/18.93 tff(24372,plain,
% 28.35/18.93 (v129(constB174, 1)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24371, 24367])).
% 28.35/18.93 tff(24373,plain,
% 28.35/18.93 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB174, 1) | (~v129(constB174, 1)) | (~v100(constB174)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB174, 1) | (~v129(constB174, 1)) | (~v100(constB174)))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24374,plain,
% 28.35/18.93 ((v90(constB174, 1) | (~v100(constB174)) | (~v129(constB174, 1))) <=> (v90(constB174, 1) | (~v129(constB174, 1)) | (~v100(constB174)))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24375,plain,
% 28.35/18.93 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB174, 1) | (~v100(constB174)) | (~v129(constB174, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB174, 1) | (~v129(constB174, 1)) | (~v100(constB174))))),
% 28.35/18.93 inference(monotonicity,[status(thm)],[24374])).
% 28.35/18.93 tff(24376,plain,
% 28.35/18.93 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB174, 1) | (~v100(constB174)) | (~v129(constB174, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB174, 1) | (~v129(constB174, 1)) | (~v100(constB174)))),
% 28.35/18.93 inference(transitivity,[status(thm)],[24375, 24373])).
% 28.35/18.93 tff(24377,plain,
% 28.35/18.93 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB174, 1) | (~v100(constB174)) | (~v129(constB174, 1)))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24378,plain,
% 28.35/18.93 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB174, 1) | (~v129(constB174, 1)) | (~v100(constB174))),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24377, 24376])).
% 28.35/18.93 tff(24379,plain,
% 28.35/18.93 (v90(constB174, 1) | (~v100(constB174))),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24378, 885, 24372])).
% 28.35/18.93 tff(24380,plain,
% 28.35/18.93 (v90(constB174, 1)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24379, 24309])).
% 28.35/18.93 tff(24381,plain,
% 28.35/18.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB174, 1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB174, 1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 1))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24382,plain,
% 28.35/18.93 (((~nextState(constB174, constB175)) | (~v90(constB174, 1)) | v100(constB175) | v90(constB175, 1)) <=> ((~v90(constB174, 1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 1))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24383,plain,
% 28.35/18.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, 1)) | v100(constB175) | v90(constB175, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB174, 1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 1)))),
% 28.35/18.93 inference(monotonicity,[status(thm)],[24382])).
% 28.35/18.93 tff(24384,plain,
% 28.35/18.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, 1)) | v100(constB175) | v90(constB175, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB174, 1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 1))),
% 28.35/18.93 inference(transitivity,[status(thm)],[24383, 24381])).
% 28.35/18.93 tff(24385,plain,
% 28.35/18.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, 1)) | v100(constB175) | v90(constB175, 1))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24386,plain,
% 28.35/18.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB174, 1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 1)),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24385, 24384])).
% 28.35/18.93 tff(24387,plain,
% 28.35/18.93 ((~v90(constB174, 1)) | v100(constB175) | v90(constB175, 1)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24386, 903, 24337])).
% 28.35/18.93 tff(24388,plain,
% 28.35/18.93 ((~v90(constB174, 1)) | v90(constB175, 1)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24387, 24349])).
% 28.35/18.93 tff(24389,plain,
% 28.35/18.93 (v90(constB175, 1)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24388, 24380])).
% 28.35/18.93 tff(24390,plain,
% 28.35/18.93 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB173)) | v130(constB173, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB173)) | v130(constB173, 0))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24391,plain,
% 28.35/18.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB173)) | v130(constB173, 0))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24392,plain,
% 28.35/18.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB173)) | v130(constB173, 0)),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24391, 24390])).
% 28.35/18.93 tff(24393,plain,
% 28.35/18.93 (v130(constB173, 0)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24392, 1099, 24224])).
% 28.35/18.93 tff(24394,plain,
% 28.35/18.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB173) | (~v130(constB173, 0)) | v127(constB173, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB173) | (~v130(constB173, 0)) | v127(constB173, 0))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24395,plain,
% 28.35/18.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB173) | (~v130(constB173, 0)) | v127(constB173, 0))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24396,plain,
% 28.35/18.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB173) | (~v130(constB173, 0)) | v127(constB173, 0)),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24395, 24394])).
% 28.35/18.93 tff(24397,plain,
% 28.35/18.93 ((~v130(constB173, 0)) | v127(constB173, 0)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24396, 612, 24260])).
% 28.35/18.93 tff(24398,plain,
% 28.35/18.93 (v127(constB173, 0)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24397, 24393])).
% 28.35/18.93 tff(24399,plain,
% 28.35/18.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB173, constB174)) | (~v127(constB173, 0)) | v129(constB174, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB173, constB174)) | (~v127(constB173, 0)) | v129(constB174, 0))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24400,plain,
% 28.35/18.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB173, constB174)) | (~v127(constB173, 0)) | v129(constB174, 0))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24401,plain,
% 28.35/18.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB173, constB174)) | (~v127(constB173, 0)) | v129(constB174, 0)),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24400, 24399])).
% 28.35/18.93 tff(24402,plain,
% 28.35/18.93 ((~v127(constB173, 0)) | v129(constB174, 0)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24401, 627, 24275])).
% 28.35/18.93 tff(24403,plain,
% 28.35/18.93 (v129(constB174, 0)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24402, 24398])).
% 28.35/18.93 tff(24404,plain,
% 28.35/18.93 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB174, 0) | (~v129(constB174, 0)) | (~v100(constB174)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB174, 0) | (~v129(constB174, 0)) | (~v100(constB174)))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24405,plain,
% 28.35/18.93 ((v90(constB174, 0) | (~v100(constB174)) | (~v129(constB174, 0))) <=> (v90(constB174, 0) | (~v129(constB174, 0)) | (~v100(constB174)))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24406,plain,
% 28.35/18.93 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB174, 0) | (~v100(constB174)) | (~v129(constB174, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB174, 0) | (~v129(constB174, 0)) | (~v100(constB174))))),
% 28.35/18.93 inference(monotonicity,[status(thm)],[24405])).
% 28.35/18.93 tff(24407,plain,
% 28.35/18.93 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB174, 0) | (~v100(constB174)) | (~v129(constB174, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB174, 0) | (~v129(constB174, 0)) | (~v100(constB174)))),
% 28.35/18.93 inference(transitivity,[status(thm)],[24406, 24404])).
% 28.35/18.93 tff(24408,plain,
% 28.35/18.93 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB174, 0) | (~v100(constB174)) | (~v129(constB174, 0)))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24409,plain,
% 28.35/18.93 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB174, 0) | (~v129(constB174, 0)) | (~v100(constB174))),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24408, 24407])).
% 28.35/18.93 tff(24410,plain,
% 28.35/18.93 (v90(constB174, 0) | (~v100(constB174))),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24409, 642, 24403])).
% 28.35/18.93 tff(24411,plain,
% 28.35/18.93 (v90(constB174, 0)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24410, 24309])).
% 28.35/18.93 tff(24412,plain,
% 28.35/18.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB174, 0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB174, 0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 0))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24413,plain,
% 28.35/18.93 (((~nextState(constB174, constB175)) | (~v90(constB174, 0)) | v100(constB175) | v90(constB175, 0)) <=> ((~v90(constB174, 0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 0))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24414,plain,
% 28.35/18.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB174, constB175)) | (~v90(constB174, 0)) | v100(constB175) | v90(constB175, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB174, 0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 0)))),
% 28.35/18.93 inference(monotonicity,[status(thm)],[24413])).
% 28.35/18.93 tff(24415,plain,
% 28.35/18.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB174, constB175)) | (~v90(constB174, 0)) | v100(constB175) | v90(constB175, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB174, 0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 0))),
% 28.35/18.93 inference(transitivity,[status(thm)],[24414, 24412])).
% 28.35/18.93 tff(24416,plain,
% 28.35/18.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB174, constB175)) | (~v90(constB174, 0)) | v100(constB175) | v90(constB175, 0))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24417,plain,
% 28.35/18.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB174, 0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 0)),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24416, 24415])).
% 28.35/18.93 tff(24418,plain,
% 28.35/18.93 ((~v90(constB174, 0)) | v100(constB175) | v90(constB175, 0)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24417, 660, 24337])).
% 28.35/18.93 tff(24419,plain,
% 28.35/18.93 ((~v90(constB174, 0)) | v90(constB175, 0)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24418, 24349])).
% 28.35/18.93 tff(24420,plain,
% 28.35/18.93 (v90(constB175, 0)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24419, 24411])).
% 28.35/18.93 tff(24421,plain,
% 28.35/18.93 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB175, 0)) | (~v90(constB175, 1)) | v90(constB175, 2) | v122(constB175))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB175, 0)) | (~v90(constB175, 1)) | v90(constB175, 2) | v122(constB175))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24422,plain,
% 28.35/18.93 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB175, 0)) | (~v90(constB175, 1)) | v90(constB175, 2) | v122(constB175))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24423,plain,
% 28.35/18.93 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB175, 0)) | (~v90(constB175, 1)) | v90(constB175, 2) | v122(constB175)),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24422, 24421])).
% 28.35/18.93 tff(24424,plain,
% 28.35/18.93 (v122(constB175)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24423, 1260, 24420, 24389, 24358])).
% 28.35/18.93 tff(24425,plain,
% 28.35/18.93 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB175)) | v116(constB175))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB175)) | v116(constB175))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24426,plain,
% 28.35/18.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB175)) | v116(constB175))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24427,plain,
% 28.35/18.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB175)) | v116(constB175)),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24426, 24425])).
% 28.35/18.93 tff(24428,plain,
% 28.35/18.93 (v116(constB175)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24427, 1272, 24424])).
% 28.35/18.93 tff(24429,plain,
% 28.35/18.93 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB175)) | v115(constB175))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB175)) | v115(constB175))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24430,plain,
% 28.35/18.93 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB175)) | v115(constB175))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24431,plain,
% 28.35/18.93 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB175)) | v115(constB175)),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24430, 24429])).
% 28.35/18.93 tff(24432,plain,
% 28.35/18.93 (v115(constB175)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24431, 286, 24428])).
% 28.35/18.93 tff(24433,plain,
% 28.35/18.93 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB175) | (~v115(constB175)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB175) | (~v115(constB175)))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24434,plain,
% 28.35/18.93 (((~v115(constB175)) | v114(constB175)) <=> (v114(constB175) | (~v115(constB175)))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24435,plain,
% 28.35/18.93 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB175)) | v114(constB175))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB175) | (~v115(constB175))))),
% 28.35/18.93 inference(monotonicity,[status(thm)],[24434])).
% 28.35/18.93 tff(24436,plain,
% 28.35/18.93 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB175)) | v114(constB175))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB175) | (~v115(constB175)))),
% 28.35/18.93 inference(transitivity,[status(thm)],[24435, 24433])).
% 28.35/18.93 tff(24437,plain,
% 28.35/18.93 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB175)) | v114(constB175))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24438,plain,
% 28.35/18.93 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB175) | (~v115(constB175))),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24437, 24436])).
% 28.35/18.93 tff(24439,plain,
% 28.35/18.93 (v114(constB175)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24438, 300, 24432])).
% 28.35/18.93 tff(24440,plain,
% 28.35/18.93 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB175) | (~v114(constB175)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB175) | (~v114(constB175)))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24441,plain,
% 28.35/18.93 (((~v114(constB175)) | v113(constB175)) <=> (v113(constB175) | (~v114(constB175)))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24442,plain,
% 28.35/18.93 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB175)) | v113(constB175))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB175) | (~v114(constB175))))),
% 28.35/18.93 inference(monotonicity,[status(thm)],[24441])).
% 28.35/18.93 tff(24443,plain,
% 28.35/18.93 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB175)) | v113(constB175))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB175) | (~v114(constB175)))),
% 28.35/18.93 inference(transitivity,[status(thm)],[24442, 24440])).
% 28.35/18.93 tff(24444,plain,
% 28.35/18.93 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB175)) | v113(constB175))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24445,plain,
% 28.35/18.93 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB175) | (~v114(constB175))),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24444, 24443])).
% 28.35/18.93 tff(24446,plain,
% 28.35/18.93 (v113(constB175)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24445, 314, 24439])).
% 28.35/18.93 tff(24447,assumption,(v26(constB175)), introduced(assumption)).
% 28.35/18.93 tff(24448,plain,
% 28.35/18.93 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB175))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24449,plain,
% 28.35/18.93 ($false),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24448, 95, 24447])).
% 28.35/18.93 tff(24450,plain,(~v26(constB175)), inference(lemma,lemma(discharge,[]))).
% 28.35/18.93 tff(24451,plain,
% 28.35/18.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | (~v113(constB175)) | v112(constB175))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24452,plain,
% 28.35/18.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24453,plain,
% 28.35/18.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | (~v113(constB175)) | v112(constB175)),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24452, 24451])).
% 28.35/18.93 tff(24454,plain,
% 28.35/18.93 ((~v113(constB175)) | v112(constB175)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24453, 328, 24450])).
% 28.35/18.93 tff(24455,plain,
% 28.35/18.93 (v112(constB175)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24454, 24446])).
% 28.35/18.93 tff(24456,plain,
% 28.35/18.93 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB175) | (~v112(constB175)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB175) | (~v112(constB175)))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24457,plain,
% 28.35/18.93 (((~v112(constB175)) | v108(constB175)) <=> (v108(constB175) | (~v112(constB175)))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24458,plain,
% 28.35/18.93 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB175)) | v108(constB175))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB175) | (~v112(constB175))))),
% 28.35/18.93 inference(monotonicity,[status(thm)],[24457])).
% 28.35/18.93 tff(24459,plain,
% 28.35/18.93 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB175)) | v108(constB175))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB175) | (~v112(constB175)))),
% 28.35/18.93 inference(transitivity,[status(thm)],[24458, 24456])).
% 28.35/18.93 tff(24460,plain,
% 28.35/18.93 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB175)) | v108(constB175))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24461,plain,
% 28.35/18.93 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB175) | (~v112(constB175))),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24460, 24459])).
% 28.35/18.93 tff(24462,plain,
% 28.35/18.93 (v108(constB175)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24461, 340, 24455])).
% 28.35/18.93 tff(24463,plain,
% 28.35/18.93 (nextState(constB175, constB176) <=> nextState(constB175, constB176)),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24464,axiom,(nextState(constB175, constB176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_175_1')).
% 28.35/18.93 tff(24465,plain,
% 28.35/18.93 (nextState(constB175, constB176)),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24464, 24463])).
% 28.35/18.93 tff(24466,plain,
% 28.35/18.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24467,plain,
% 28.35/18.93 (((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176)) <=> ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24468,plain,
% 28.35/18.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175))))),
% 28.35/18.93 inference(monotonicity,[status(thm)],[24467])).
% 28.35/18.93 tff(24469,plain,
% 28.35/18.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 28.35/18.93 inference(transitivity,[status(thm)],[24468, 24466])).
% 28.35/18.93 tff(24470,plain,
% 28.35/18.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24471,plain,
% 28.35/18.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175))),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24470, 24469])).
% 28.35/18.93 tff(24472,plain,
% 28.35/18.93 (v110(constB176) | (~v108(constB175))),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24471, 360, 24465])).
% 28.35/18.93 tff(24473,plain,
% 28.35/18.93 (v110(constB176)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24472, 24462])).
% 28.35/18.93 tff(24474,plain,
% 28.35/18.93 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24475,plain,
% 28.35/18.93 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24476,plain,
% 28.35/18.93 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176))),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24475, 24474])).
% 28.35/18.93 tff(24477,plain,
% 28.35/18.93 (~v104(constB176)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24476, 378, 24465, 24334])).
% 28.35/18.93 tff(24478,plain,
% 28.35/18.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24479,plain,
% 28.35/18.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24480,plain,
% 28.35/18.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB175, constB176)) | v102(constB176) | v104(constB176)),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24479, 24478])).
% 28.35/18.93 tff(24481,plain,
% 28.35/18.93 (v102(constB176) | v104(constB176)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24480, 392, 24465])).
% 28.35/18.93 tff(24482,plain,
% 28.35/18.93 (v102(constB176)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24481, 24477])).
% 28.35/18.93 tff(24483,plain,
% 28.35/18.93 (v1(constB176) <=> v1(constB176)),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24484,axiom,(v1(constB176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_176_1')).
% 28.35/18.93 tff(24485,plain,
% 28.35/18.93 (v1(constB176)),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24484, 24483])).
% 28.35/18.93 tff(24486,plain,
% 28.35/18.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24487,plain,
% 28.35/18.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24488,plain,
% 28.35/18.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176))),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24487, 24486])).
% 28.35/18.93 tff(24489,plain,
% 28.35/18.93 (v101(constB176) | (~v102(constB176))),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24488, 410, 24465, 24485])).
% 28.35/18.93 tff(24490,plain,
% 28.35/18.93 (v101(constB176)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24489, 24482])).
% 28.35/18.93 tff(24491,plain,
% 28.35/18.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24492,plain,
% 28.35/18.93 (((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176)) <=> ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24493,plain,
% 28.35/18.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176))))),
% 28.35/18.93 inference(monotonicity,[status(thm)],[24492])).
% 28.35/18.93 tff(24494,plain,
% 28.35/18.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 28.35/18.93 inference(transitivity,[status(thm)],[24493, 24491])).
% 28.35/18.93 tff(24495,plain,
% 28.35/18.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24496,plain,
% 28.35/18.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176))),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24495, 24494])).
% 28.35/18.93 tff(24497,plain,
% 28.35/18.93 (v100(constB176) | (~v101(constB176)) | (~v110(constB176))),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24496, 425, 24465])).
% 28.35/18.93 tff(24498,plain,
% 28.35/18.93 (v100(constB176) | (~v110(constB176))),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24497, 24490])).
% 28.35/18.93 tff(24499,plain,
% 28.35/18.93 (v100(constB176)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24498, 24473])).
% 28.35/18.93 tff(24500,plain,
% 28.35/18.93 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB175)) | v130(constB175, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB175)) | v130(constB175, 2))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24501,plain,
% 28.35/18.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB175)) | v130(constB175, 2))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24502,plain,
% 28.35/18.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB175)) | v130(constB175, 2)),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24501, 24500])).
% 28.35/18.93 tff(24503,plain,
% 28.35/18.93 (v130(constB175, 2)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24502, 1484, 24424])).
% 28.35/18.93 tff(24504,plain,
% 28.35/18.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB175) | (~v130(constB175, 2)) | v127(constB175, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB175) | (~v130(constB175, 2)) | v127(constB175, 2))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24505,plain,
% 28.35/18.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB175) | (~v130(constB175, 2)) | v127(constB175, 2))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24506,plain,
% 28.35/18.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB175) | (~v130(constB175, 2)) | v127(constB175, 2)),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24505, 24504])).
% 28.35/18.93 tff(24507,plain,
% 28.35/18.93 ((~v130(constB175, 2)) | v127(constB175, 2)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24506, 1498, 24450])).
% 28.35/18.93 tff(24508,plain,
% 28.35/18.93 (v127(constB175, 2)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24507, 24503])).
% 28.35/18.93 tff(24509,plain,
% 28.35/18.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB175, constB176)) | (~v127(constB175, 2)) | v129(constB176, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB175, constB176)) | (~v127(constB175, 2)) | v129(constB176, 2))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24510,plain,
% 28.35/18.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB175, constB176)) | (~v127(constB175, 2)) | v129(constB176, 2))),
% 28.35/18.93 inference(quant_inst,[status(thm)],[])).
% 28.35/18.93 tff(24511,plain,
% 28.35/18.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB175, constB176)) | (~v127(constB175, 2)) | v129(constB176, 2)),
% 28.35/18.93 inference(modus_ponens,[status(thm)],[24510, 24509])).
% 28.35/18.93 tff(24512,plain,
% 28.35/18.93 ((~v127(constB175, 2)) | v129(constB176, 2)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24511, 1513, 24465])).
% 28.35/18.93 tff(24513,plain,
% 28.35/18.93 (v129(constB176, 2)),
% 28.35/18.93 inference(unit_resolution,[status(thm)],[24512, 24508])).
% 28.35/18.93 tff(24514,plain,
% 28.35/18.93 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB176, 2) | (~v129(constB176, 2)) | (~v100(constB176)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB176, 2) | (~v129(constB176, 2)) | (~v100(constB176)))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24515,plain,
% 28.35/18.93 ((v90(constB176, 2) | (~v100(constB176)) | (~v129(constB176, 2))) <=> (v90(constB176, 2) | (~v129(constB176, 2)) | (~v100(constB176)))),
% 28.35/18.93 inference(rewrite,[status(thm)],[])).
% 28.35/18.93 tff(24516,plain,
% 28.35/18.93 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB176, 2) | (~v100(constB176)) | (~v129(constB176, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB176, 2) | (~v129(constB176, 2)) | (~v100(constB176))))),
% 28.35/18.93 inference(monotonicity,[status(thm)],[24515])).
% 28.35/18.93 tff(24517,plain,
% 28.35/18.93 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB176, 2) | (~v100(constB176)) | (~v129(constB176, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB176, 2) | (~v129(constB176, 2)) | (~v100(constB176)))),
% 28.35/18.93 inference(transitivity,[status(thm)],[24516, 24514])).
% 28.35/18.93 tff(24518,plain,
% 28.35/18.93 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB176, 2) | (~v100(constB176)) | (~v129(constB176, 2)))),
% 28.35/18.94 inference(quant_inst,[status(thm)],[])).
% 28.35/18.94 tff(24519,plain,
% 28.35/18.94 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB176, 2) | (~v129(constB176, 2)) | (~v100(constB176))),
% 28.35/18.94 inference(modus_ponens,[status(thm)],[24518, 24517])).
% 28.35/18.94 tff(24520,plain,
% 28.35/18.94 (v90(constB176, 2) | (~v100(constB176))),
% 28.35/18.94 inference(unit_resolution,[status(thm)],[24519, 1528, 24513])).
% 28.35/18.94 tff(24521,plain,
% 28.35/18.94 (v90(constB176, 2)),
% 28.35/18.94 inference(unit_resolution,[status(thm)],[24520, 24499])).
% 28.35/18.94 tff(24522,plain,
% 28.35/18.94 ((~v1(constB177)) <=> (~v1(constB177))),
% 28.35/18.94 inference(rewrite,[status(thm)],[])).
% 28.35/18.94 tff(24523,axiom,(~v1(constB177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_177_1_1')).
% 28.35/18.94 tff(24524,plain,
% 28.35/18.94 (~v1(constB177)),
% 28.35/18.94 inference(modus_ponens,[status(thm)],[24523, 24522])).
% 28.35/18.94 tff(24525,plain,
% 28.35/18.94 (nextState(constB176, constB177) <=> nextState(constB176, constB177)),
% 28.35/18.94 inference(rewrite,[status(thm)],[])).
% 28.35/18.94 tff(24526,axiom,(nextState(constB176, constB177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_176_1')).
% 28.35/18.94 tff(24527,plain,
% 28.35/18.94 (nextState(constB176, constB177)),
% 28.35/18.94 inference(modus_ponens,[status(thm)],[24526, 24525])).
% 28.35/18.94 tff(24528,plain,
% 28.35/18.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 28.35/18.94 inference(rewrite,[status(thm)],[])).
% 28.35/18.94 tff(24529,plain,
% 28.35/18.94 (((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177)) <=> (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 28.35/18.94 inference(rewrite,[status(thm)],[])).
% 28.35/18.94 tff(24530,plain,
% 28.35/18.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177))))),
% 28.35/18.94 inference(monotonicity,[status(thm)],[24529])).
% 28.35/18.94 tff(24531,plain,
% 28.35/18.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 28.35/18.94 inference(transitivity,[status(thm)],[24530, 24528])).
% 28.35/18.94 tff(24532,plain,
% 28.35/18.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))),
% 28.35/18.94 inference(quant_inst,[status(thm)],[])).
% 28.35/18.94 tff(24533,plain,
% 28.35/18.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177))),
% 28.35/18.94 inference(modus_ponens,[status(thm)],[24532, 24531])).
% 28.35/18.94 tff(24534,plain,
% 28.35/18.94 (~v101(constB177)),
% 28.35/18.94 inference(unit_resolution,[status(thm)],[24533, 138, 24527, 24524])).
% 28.35/18.94 tff(24535,plain,
% 28.35/18.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))),
% 28.35/18.94 inference(rewrite,[status(thm)],[])).
% 28.35/18.94 tff(24536,plain,
% 28.35/18.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))),
% 28.35/18.94 inference(quant_inst,[status(thm)],[])).
% 28.35/18.94 tff(24537,plain,
% 28.35/18.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177))),
% 28.35/18.94 inference(modus_ponens,[status(thm)],[24536, 24535])).
% 28.35/18.94 tff(24538,plain,
% 28.35/18.94 (v101(constB177) | (~v100(constB177))),
% 28.35/18.94 inference(unit_resolution,[status(thm)],[24537, 155, 24527])).
% 28.35/18.94 tff(24539,plain,
% 28.35/18.94 (~v100(constB177)),
% 28.35/18.94 inference(unit_resolution,[status(thm)],[24538, 24534])).
% 28.35/18.94 tff(24540,plain,
% 28.35/18.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB176, 2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB176, 2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, 2))),
% 28.35/18.94 inference(rewrite,[status(thm)],[])).
% 28.35/18.94 tff(24541,plain,
% 28.35/18.94 (((~nextState(constB176, constB177)) | (~v90(constB176, 2)) | v100(constB177) | v90(constB177, 2)) <=> ((~v90(constB176, 2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, 2))),
% 28.35/18.94 inference(rewrite,[status(thm)],[])).
% 28.35/18.94 tff(24542,plain,
% 28.35/18.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB176, constB177)) | (~v90(constB176, 2)) | v100(constB177) | v90(constB177, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB176, 2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, 2)))),
% 28.35/18.94 inference(monotonicity,[status(thm)],[24541])).
% 28.35/18.94 tff(24543,plain,
% 28.35/18.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB176, constB177)) | (~v90(constB176, 2)) | v100(constB177) | v90(constB177, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB176, 2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, 2))),
% 28.35/18.94 inference(transitivity,[status(thm)],[24542, 24540])).
% 28.35/18.94 tff(24544,plain,
% 28.35/18.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB176, constB177)) | (~v90(constB176, 2)) | v100(constB177) | v90(constB177, 2))),
% 28.35/18.94 inference(quant_inst,[status(thm)],[])).
% 28.35/18.94 tff(24545,plain,
% 28.35/18.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB176, 2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, 2)),
% 28.35/18.94 inference(modus_ponens,[status(thm)],[24544, 24543])).
% 28.35/18.94 tff(24546,plain,
% 28.35/18.94 ((~v90(constB176, 2)) | v100(constB177) | v90(constB177, 2)),
% 28.35/18.94 inference(unit_resolution,[status(thm)],[24545, 1546, 24527])).
% 28.35/18.94 tff(24547,plain,
% 28.35/18.94 ((~v90(constB176, 2)) | v90(constB177, 2)),
% 28.35/18.94 inference(unit_resolution,[status(thm)],[24546, 24539])).
% 28.35/18.94 tff(24548,plain,
% 28.35/18.94 (v90(constB177, 2)),
% 28.35/18.94 inference(unit_resolution,[status(thm)],[24547, 24521])).
% 28.35/18.94 tff(24549,plain,
% 28.35/18.94 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB175)) | (~v130(constB175, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB175)) | (~v130(constB175, 1)))),
% 28.35/18.94 inference(rewrite,[status(thm)],[])).
% 28.35/18.94 tff(24550,plain,
% 28.35/18.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB175)) | (~v130(constB175, 1)))),
% 28.42/18.94 inference(quant_inst,[status(thm)],[])).
% 28.42/18.94 tff(24551,plain,
% 28.42/18.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB175)) | (~v130(constB175, 1))),
% 28.42/18.94 inference(modus_ponens,[status(thm)],[24550, 24549])).
% 28.42/18.94 tff(24552,plain,
% 28.42/18.94 (~v130(constB175, 1)),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24551, 1424, 24424])).
% 28.42/18.94 tff(24553,plain,
% 28.42/18.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB175, 1)) | v26(constB175) | v130(constB175, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB175, 1)) | v26(constB175) | v130(constB175, 1))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24554,plain,
% 28.42/18.94 ((v26(constB175) | v130(constB175, 1) | (~v127(constB175, 1))) <=> ((~v127(constB175, 1)) | v26(constB175) | v130(constB175, 1))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24555,plain,
% 28.42/18.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB175) | v130(constB175, 1) | (~v127(constB175, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB175, 1)) | v26(constB175) | v130(constB175, 1)))),
% 28.42/18.94 inference(monotonicity,[status(thm)],[24554])).
% 28.42/18.94 tff(24556,plain,
% 28.42/18.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB175) | v130(constB175, 1) | (~v127(constB175, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB175, 1)) | v26(constB175) | v130(constB175, 1))),
% 28.42/18.94 inference(transitivity,[status(thm)],[24555, 24553])).
% 28.42/18.94 tff(24557,plain,
% 28.42/18.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB175) | v130(constB175, 1) | (~v127(constB175, 1)))),
% 28.42/18.94 inference(quant_inst,[status(thm)],[])).
% 28.42/18.94 tff(24558,plain,
% 28.42/18.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB175, 1)) | v26(constB175) | v130(constB175, 1)),
% 28.42/18.94 inference(modus_ponens,[status(thm)],[24557, 24556])).
% 28.42/18.94 tff(24559,plain,
% 28.42/18.94 ((~v127(constB175, 1)) | v130(constB175, 1)),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24558, 541, 24450])).
% 28.42/18.94 tff(24560,plain,
% 28.42/18.94 (~v127(constB175, 1)),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24559, 24552])).
% 28.42/18.94 tff(24561,plain,
% 28.42/18.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB175, constB176)) | v127(constB175, 1) | (~v129(constB176, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB175, constB176)) | v127(constB175, 1) | (~v129(constB176, 1)))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24562,plain,
% 28.42/18.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB175, constB176)) | v127(constB175, 1) | (~v129(constB176, 1)))),
% 28.42/18.94 inference(quant_inst,[status(thm)],[])).
% 28.42/18.94 tff(24563,plain,
% 28.42/18.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB175, constB176)) | v127(constB175, 1) | (~v129(constB176, 1))),
% 28.42/18.94 inference(modus_ponens,[status(thm)],[24562, 24561])).
% 28.42/18.94 tff(24564,plain,
% 28.42/18.94 (v127(constB175, 1) | (~v129(constB176, 1))),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24563, 559, 24465])).
% 28.42/18.94 tff(24565,plain,
% 28.42/18.94 (~v129(constB176, 1)),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24564, 24560])).
% 28.42/18.94 tff(24566,plain,
% 28.42/18.94 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB176, 1)) | v129(constB176, 1) | (~v100(constB176)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB176, 1)) | v129(constB176, 1) | (~v100(constB176)))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24567,plain,
% 28.42/18.94 (((~v90(constB176, 1)) | (~v100(constB176)) | v129(constB176, 1)) <=> ((~v90(constB176, 1)) | v129(constB176, 1) | (~v100(constB176)))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24568,plain,
% 28.42/18.94 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB176, 1)) | (~v100(constB176)) | v129(constB176, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB176, 1)) | v129(constB176, 1) | (~v100(constB176))))),
% 28.42/18.94 inference(monotonicity,[status(thm)],[24567])).
% 28.42/18.94 tff(24569,plain,
% 28.42/18.94 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB176, 1)) | (~v100(constB176)) | v129(constB176, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB176, 1)) | v129(constB176, 1) | (~v100(constB176)))),
% 28.42/18.94 inference(transitivity,[status(thm)],[24568, 24566])).
% 28.42/18.94 tff(24570,plain,
% 28.42/18.94 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB176, 1)) | (~v100(constB176)) | v129(constB176, 1))),
% 28.42/18.94 inference(quant_inst,[status(thm)],[])).
% 28.42/18.94 tff(24571,plain,
% 28.42/18.94 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB176, 1)) | v129(constB176, 1) | (~v100(constB176))),
% 28.42/18.94 inference(modus_ponens,[status(thm)],[24570, 24569])).
% 28.42/18.94 tff(24572,plain,
% 28.42/18.94 ((~v90(constB176, 1)) | (~v100(constB176))),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24571, 574, 24565])).
% 28.42/18.94 tff(24573,plain,
% 28.42/18.94 (~v90(constB176, 1)),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24572, 24499])).
% 28.42/18.94 tff(24574,plain,
% 28.42/18.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB176, 1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB176, 1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 1)))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24575,plain,
% 28.42/18.94 (((~nextState(constB176, constB177)) | v90(constB176, 1) | v100(constB177) | (~v90(constB177, 1))) <=> (v90(constB176, 1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 1)))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24576,plain,
% 28.42/18.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB176, constB177)) | v90(constB176, 1) | v100(constB177) | (~v90(constB177, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB176, 1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 1))))),
% 28.42/18.94 inference(monotonicity,[status(thm)],[24575])).
% 28.42/18.94 tff(24577,plain,
% 28.42/18.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB176, constB177)) | v90(constB176, 1) | v100(constB177) | (~v90(constB177, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB176, 1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 1)))),
% 28.42/18.94 inference(transitivity,[status(thm)],[24576, 24574])).
% 28.42/18.94 tff(24578,plain,
% 28.42/18.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB176, constB177)) | v90(constB176, 1) | v100(constB177) | (~v90(constB177, 1)))),
% 28.42/18.94 inference(quant_inst,[status(thm)],[])).
% 28.42/18.94 tff(24579,plain,
% 28.42/18.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB176, 1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 1))),
% 28.42/18.94 inference(modus_ponens,[status(thm)],[24578, 24577])).
% 28.42/18.94 tff(24580,plain,
% 28.42/18.94 (v90(constB176, 1) | v100(constB177) | (~v90(constB177, 1))),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24579, 191, 24527])).
% 28.42/18.94 tff(24581,plain,
% 28.42/18.94 (v90(constB176, 1) | (~v90(constB177, 1))),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24580, 24539])).
% 28.42/18.94 tff(24582,plain,
% 28.42/18.94 (~v90(constB177, 1)),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24581, 24573])).
% 28.42/18.94 tff(24583,plain,
% 28.42/18.94 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB175)) | (~v130(constB175, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB175)) | (~v130(constB175, 0)))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24584,plain,
% 28.42/18.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB175)) | (~v130(constB175, 0)))),
% 28.42/18.94 inference(quant_inst,[status(thm)],[])).
% 28.42/18.94 tff(24585,plain,
% 28.42/18.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB175)) | (~v130(constB175, 0))),
% 28.42/18.94 inference(modus_ponens,[status(thm)],[24584, 24583])).
% 28.42/18.94 tff(24586,plain,
% 28.42/18.94 (~v130(constB175, 0)),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24585, 1351, 24424])).
% 28.42/18.94 tff(24587,plain,
% 28.42/18.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB175, 0)) | v26(constB175) | v130(constB175, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB175, 0)) | v26(constB175) | v130(constB175, 0))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24588,plain,
% 28.42/18.94 ((v26(constB175) | v130(constB175, 0) | (~v127(constB175, 0))) <=> ((~v127(constB175, 0)) | v26(constB175) | v130(constB175, 0))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24589,plain,
% 28.42/18.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB175) | v130(constB175, 0) | (~v127(constB175, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB175, 0)) | v26(constB175) | v130(constB175, 0)))),
% 28.42/18.94 inference(monotonicity,[status(thm)],[24588])).
% 28.42/18.94 tff(24590,plain,
% 28.42/18.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB175) | v130(constB175, 0) | (~v127(constB175, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB175, 0)) | v26(constB175) | v130(constB175, 0))),
% 28.42/18.94 inference(transitivity,[status(thm)],[24589, 24587])).
% 28.42/18.94 tff(24591,plain,
% 28.42/18.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB175) | v130(constB175, 0) | (~v127(constB175, 0)))),
% 28.42/18.94 inference(quant_inst,[status(thm)],[])).
% 28.42/18.94 tff(24592,plain,
% 28.42/18.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB175, 0)) | v26(constB175) | v130(constB175, 0)),
% 28.42/18.94 inference(modus_ponens,[status(thm)],[24591, 24590])).
% 28.42/18.94 tff(24593,plain,
% 28.42/18.94 ((~v127(constB175, 0)) | v130(constB175, 0)),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24592, 933, 24450])).
% 28.42/18.94 tff(24594,plain,
% 28.42/18.94 (~v127(constB175, 0)),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24593, 24586])).
% 28.42/18.94 tff(24595,plain,
% 28.42/18.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB175, constB176)) | v127(constB175, 0) | (~v129(constB176, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB175, constB176)) | v127(constB175, 0) | (~v129(constB176, 0)))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24596,plain,
% 28.42/18.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB175, constB176)) | v127(constB175, 0) | (~v129(constB176, 0)))),
% 28.42/18.94 inference(quant_inst,[status(thm)],[])).
% 28.42/18.94 tff(24597,plain,
% 28.42/18.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB175, constB176)) | v127(constB175, 0) | (~v129(constB176, 0))),
% 28.42/18.94 inference(modus_ponens,[status(thm)],[24596, 24595])).
% 28.42/18.94 tff(24598,plain,
% 28.42/18.94 (v127(constB175, 0) | (~v129(constB176, 0))),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24597, 951, 24465])).
% 28.42/18.94 tff(24599,plain,
% 28.42/18.94 (~v129(constB176, 0)),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24598, 24594])).
% 28.42/18.94 tff(24600,plain,
% 28.42/18.94 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB176, 0)) | v129(constB176, 0) | (~v100(constB176)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB176, 0)) | v129(constB176, 0) | (~v100(constB176)))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24601,plain,
% 28.42/18.94 (((~v90(constB176, 0)) | (~v100(constB176)) | v129(constB176, 0)) <=> ((~v90(constB176, 0)) | v129(constB176, 0) | (~v100(constB176)))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24602,plain,
% 28.42/18.94 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB176, 0)) | (~v100(constB176)) | v129(constB176, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB176, 0)) | v129(constB176, 0) | (~v100(constB176))))),
% 28.42/18.94 inference(monotonicity,[status(thm)],[24601])).
% 28.42/18.94 tff(24603,plain,
% 28.42/18.94 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB176, 0)) | (~v100(constB176)) | v129(constB176, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB176, 0)) | v129(constB176, 0) | (~v100(constB176)))),
% 28.42/18.94 inference(transitivity,[status(thm)],[24602, 24600])).
% 28.42/18.94 tff(24604,plain,
% 28.42/18.94 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB176, 0)) | (~v100(constB176)) | v129(constB176, 0))),
% 28.42/18.94 inference(quant_inst,[status(thm)],[])).
% 28.42/18.94 tff(24605,plain,
% 28.42/18.94 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB176, 0)) | v129(constB176, 0) | (~v100(constB176))),
% 28.42/18.94 inference(modus_ponens,[status(thm)],[24604, 24603])).
% 28.42/18.94 tff(24606,plain,
% 28.42/18.94 ((~v90(constB176, 0)) | (~v100(constB176))),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24605, 966, 24599])).
% 28.42/18.94 tff(24607,plain,
% 28.42/18.94 (~v90(constB176, 0)),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24606, 24499])).
% 28.42/18.94 tff(24608,plain,
% 28.42/18.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB176, 0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB176, 0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 0)))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24609,plain,
% 28.42/18.94 (((~nextState(constB176, constB177)) | v90(constB176, 0) | v100(constB177) | (~v90(constB177, 0))) <=> (v90(constB176, 0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 0)))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24610,plain,
% 28.42/18.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB176, constB177)) | v90(constB176, 0) | v100(constB177) | (~v90(constB177, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB176, 0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 0))))),
% 28.42/18.94 inference(monotonicity,[status(thm)],[24609])).
% 28.42/18.94 tff(24611,plain,
% 28.42/18.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB176, constB177)) | v90(constB176, 0) | v100(constB177) | (~v90(constB177, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB176, 0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 0)))),
% 28.42/18.94 inference(transitivity,[status(thm)],[24610, 24608])).
% 28.42/18.94 tff(24612,plain,
% 28.42/18.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB176, constB177)) | v90(constB176, 0) | v100(constB177) | (~v90(constB177, 0)))),
% 28.42/18.94 inference(quant_inst,[status(thm)],[])).
% 28.42/18.94 tff(24613,plain,
% 28.42/18.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB176, 0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 0))),
% 28.42/18.94 inference(modus_ponens,[status(thm)],[24612, 24611])).
% 28.42/18.94 tff(24614,plain,
% 28.42/18.94 (v90(constB176, 0) | v100(constB177) | (~v90(constB177, 0))),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24613, 212, 24527])).
% 28.42/18.94 tff(24615,plain,
% 28.42/18.94 (v90(constB176, 0) | (~v90(constB177, 0))),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24614, 24539])).
% 28.42/18.94 tff(24616,plain,
% 28.42/18.94 (~v90(constB177, 0)),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24615, 24607])).
% 28.42/18.94 tff(24617,plain,
% 28.42/18.94 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB177, 0) | v90(constB177, 1) | (~v90(constB177, 2)) | v123(constB177))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB177, 0) | v90(constB177, 1) | (~v90(constB177, 2)) | v123(constB177))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24618,plain,
% 28.42/18.94 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB177, 0) | v90(constB177, 1) | (~v90(constB177, 2)) | v123(constB177))),
% 28.42/18.94 inference(quant_inst,[status(thm)],[])).
% 28.42/18.94 tff(24619,plain,
% 28.42/18.94 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB177, 0) | v90(constB177, 1) | (~v90(constB177, 2)) | v123(constB177)),
% 28.42/18.94 inference(modus_ponens,[status(thm)],[24618, 24617])).
% 28.42/18.94 tff(24620,plain,
% 28.42/18.94 (v123(constB177)),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24619, 1565, 24616, 24582, 24548])).
% 28.42/18.94 tff(24621,plain,
% 28.42/18.94 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB177) | (~v123(constB177)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB177) | (~v123(constB177)))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24622,plain,
% 28.42/18.94 (((~v123(constB177)) | v115(constB177)) <=> (v115(constB177) | (~v123(constB177)))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24623,plain,
% 28.42/18.94 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB177)) | v115(constB177))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB177) | (~v123(constB177))))),
% 28.42/18.94 inference(monotonicity,[status(thm)],[24622])).
% 28.42/18.94 tff(24624,plain,
% 28.42/18.94 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB177)) | v115(constB177))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB177) | (~v123(constB177)))),
% 28.42/18.94 inference(transitivity,[status(thm)],[24623, 24621])).
% 28.42/18.94 tff(24625,plain,
% 28.42/18.94 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB177)) | v115(constB177))),
% 28.42/18.94 inference(quant_inst,[status(thm)],[])).
% 28.42/18.94 tff(24626,plain,
% 28.42/18.94 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB177) | (~v123(constB177))),
% 28.42/18.94 inference(modus_ponens,[status(thm)],[24625, 24624])).
% 28.42/18.94 tff(24627,plain,
% 28.42/18.94 (v115(constB177)),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24626, 1579, 24620])).
% 28.42/18.94 tff(24628,plain,
% 28.42/18.94 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB177) | (~v115(constB177)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB177) | (~v115(constB177)))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24629,plain,
% 28.42/18.94 (((~v115(constB177)) | v114(constB177)) <=> (v114(constB177) | (~v115(constB177)))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24630,plain,
% 28.42/18.94 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB177)) | v114(constB177))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB177) | (~v115(constB177))))),
% 28.42/18.94 inference(monotonicity,[status(thm)],[24629])).
% 28.42/18.94 tff(24631,plain,
% 28.42/18.94 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB177)) | v114(constB177))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB177) | (~v115(constB177)))),
% 28.42/18.94 inference(transitivity,[status(thm)],[24630, 24628])).
% 28.42/18.94 tff(24632,plain,
% 28.42/18.94 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB177)) | v114(constB177))),
% 28.42/18.94 inference(quant_inst,[status(thm)],[])).
% 28.42/18.94 tff(24633,plain,
% 28.42/18.94 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB177) | (~v115(constB177))),
% 28.42/18.94 inference(modus_ponens,[status(thm)],[24632, 24631])).
% 28.42/18.94 tff(24634,plain,
% 28.42/18.94 (v114(constB177)),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24633, 300, 24627])).
% 28.42/18.94 tff(24635,plain,
% 28.42/18.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB177) | (~v114(constB177)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB177) | (~v114(constB177)))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24636,plain,
% 28.42/18.94 (((~v114(constB177)) | v113(constB177)) <=> (v113(constB177) | (~v114(constB177)))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24637,plain,
% 28.42/18.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB177)) | v113(constB177))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB177) | (~v114(constB177))))),
% 28.42/18.94 inference(monotonicity,[status(thm)],[24636])).
% 28.42/18.94 tff(24638,plain,
% 28.42/18.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB177)) | v113(constB177))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB177) | (~v114(constB177)))),
% 28.42/18.94 inference(transitivity,[status(thm)],[24637, 24635])).
% 28.42/18.94 tff(24639,plain,
% 28.42/18.94 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB177)) | v113(constB177))),
% 28.42/18.94 inference(quant_inst,[status(thm)],[])).
% 28.42/18.94 tff(24640,plain,
% 28.42/18.94 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB177) | (~v114(constB177))),
% 28.42/18.94 inference(modus_ponens,[status(thm)],[24639, 24638])).
% 28.42/18.94 tff(24641,plain,
% 28.42/18.94 (v113(constB177)),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24640, 314, 24634])).
% 28.42/18.94 tff(24642,assumption,(v26(constB177)), introduced(assumption)).
% 28.42/18.94 tff(24643,plain,
% 28.42/18.94 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB177))),
% 28.42/18.94 inference(quant_inst,[status(thm)],[])).
% 28.42/18.94 tff(24644,plain,
% 28.42/18.94 ($false),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24643, 95, 24642])).
% 28.42/18.94 tff(24645,plain,(~v26(constB177)), inference(lemma,lemma(discharge,[]))).
% 28.42/18.94 tff(24646,plain,
% 28.42/18.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | v112(constB177) | (~v113(constB177)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | v112(constB177) | (~v113(constB177)))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24647,plain,
% 28.42/18.94 ((v26(constB177) | (~v113(constB177)) | v112(constB177)) <=> (v26(constB177) | v112(constB177) | (~v113(constB177)))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24648,plain,
% 28.42/18.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | v112(constB177) | (~v113(constB177))))),
% 28.42/18.94 inference(monotonicity,[status(thm)],[24647])).
% 28.42/18.94 tff(24649,plain,
% 28.42/18.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | v112(constB177) | (~v113(constB177)))),
% 28.42/18.94 inference(transitivity,[status(thm)],[24648, 24646])).
% 28.42/18.94 tff(24650,plain,
% 28.42/18.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))),
% 28.42/18.94 inference(quant_inst,[status(thm)],[])).
% 28.42/18.94 tff(24651,plain,
% 28.42/18.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | v112(constB177) | (~v113(constB177))),
% 28.42/18.94 inference(modus_ponens,[status(thm)],[24650, 24649])).
% 28.42/18.94 tff(24652,plain,
% 28.42/18.94 (v112(constB177) | (~v113(constB177))),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24651, 328, 24645])).
% 28.42/18.94 tff(24653,plain,
% 28.42/18.94 (v112(constB177)),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24652, 24641])).
% 28.42/18.94 tff(24654,plain,
% 28.42/18.94 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB177) | (~v112(constB177)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v112(constB177)))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24655,plain,
% 28.42/18.94 (((~v112(constB177)) | v108(constB177)) <=> (v108(constB177) | (~v112(constB177)))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24656,plain,
% 28.42/18.94 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB177)) | v108(constB177))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB177) | (~v112(constB177))))),
% 28.42/18.94 inference(monotonicity,[status(thm)],[24655])).
% 28.42/18.94 tff(24657,plain,
% 28.42/18.94 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB177)) | v108(constB177))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v112(constB177)))),
% 28.42/18.94 inference(transitivity,[status(thm)],[24656, 24654])).
% 28.42/18.94 tff(24658,plain,
% 28.42/18.94 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB177)) | v108(constB177))),
% 28.42/18.94 inference(quant_inst,[status(thm)],[])).
% 28.42/18.94 tff(24659,plain,
% 28.42/18.94 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v112(constB177))),
% 28.42/18.94 inference(modus_ponens,[status(thm)],[24658, 24657])).
% 28.42/18.94 tff(24660,plain,
% 28.42/18.94 (v108(constB177)),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24659, 340, 24653])).
% 28.42/18.94 tff(24661,plain,
% 28.42/18.94 (nextState(constB177, constB178) <=> nextState(constB177, constB178)),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24662,axiom,(nextState(constB177, constB178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_177_1')).
% 28.42/18.94 tff(24663,plain,
% 28.42/18.94 (nextState(constB177, constB178)),
% 28.42/18.94 inference(modus_ponens,[status(thm)],[24662, 24661])).
% 28.42/18.94 tff(24664,plain,
% 28.42/18.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24665,plain,
% 28.42/18.94 (((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178)) <=> ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24666,plain,
% 28.42/18.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177))))),
% 28.42/18.94 inference(monotonicity,[status(thm)],[24665])).
% 28.42/18.94 tff(24667,plain,
% 28.42/18.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 28.42/18.94 inference(transitivity,[status(thm)],[24666, 24664])).
% 28.42/18.94 tff(24668,plain,
% 28.42/18.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))),
% 28.42/18.94 inference(quant_inst,[status(thm)],[])).
% 28.42/18.94 tff(24669,plain,
% 28.42/18.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177))),
% 28.42/18.94 inference(modus_ponens,[status(thm)],[24668, 24667])).
% 28.42/18.94 tff(24670,plain,
% 28.42/18.94 (v110(constB178) | (~v108(constB177))),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24669, 360, 24663])).
% 28.42/18.94 tff(24671,plain,
% 28.42/18.94 (v110(constB178)),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24670, 24660])).
% 28.42/18.94 tff(24672,plain,
% 28.42/18.94 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24673,plain,
% 28.42/18.94 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))),
% 28.42/18.94 inference(quant_inst,[status(thm)],[])).
% 28.42/18.94 tff(24674,plain,
% 28.42/18.94 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178))),
% 28.42/18.94 inference(modus_ponens,[status(thm)],[24673, 24672])).
% 28.42/18.94 tff(24675,plain,
% 28.42/18.94 (~v104(constB178)),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24674, 378, 24663, 24524])).
% 28.42/18.94 tff(24676,plain,
% 28.42/18.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24677,plain,
% 28.42/18.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))),
% 28.42/18.94 inference(quant_inst,[status(thm)],[])).
% 28.42/18.94 tff(24678,plain,
% 28.42/18.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB177, constB178)) | v102(constB178) | v104(constB178)),
% 28.42/18.94 inference(modus_ponens,[status(thm)],[24677, 24676])).
% 28.42/18.94 tff(24679,plain,
% 28.42/18.94 (v102(constB178) | v104(constB178)),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24678, 392, 24663])).
% 28.42/18.94 tff(24680,plain,
% 28.42/18.94 (v102(constB178)),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24679, 24675])).
% 28.42/18.94 tff(24681,plain,
% 28.42/18.94 (v1(constB178) <=> v1(constB178)),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24682,axiom,(v1(constB178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_178_1')).
% 28.42/18.94 tff(24683,plain,
% 28.42/18.94 (v1(constB178)),
% 28.42/18.94 inference(modus_ponens,[status(thm)],[24682, 24681])).
% 28.42/18.94 tff(24684,plain,
% 28.42/18.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24685,plain,
% 28.42/18.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))),
% 28.42/18.94 inference(quant_inst,[status(thm)],[])).
% 28.42/18.94 tff(24686,plain,
% 28.42/18.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178))),
% 28.42/18.94 inference(modus_ponens,[status(thm)],[24685, 24684])).
% 28.42/18.94 tff(24687,plain,
% 28.42/18.94 (v101(constB178) | (~v102(constB178))),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24686, 410, 24663, 24683])).
% 28.42/18.94 tff(24688,plain,
% 28.42/18.94 (v101(constB178)),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24687, 24680])).
% 28.42/18.94 tff(24689,plain,
% 28.42/18.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24690,plain,
% 28.42/18.94 (((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178)) <=> ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 28.42/18.94 inference(rewrite,[status(thm)],[])).
% 28.42/18.94 tff(24691,plain,
% 28.42/18.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178))))),
% 28.42/18.94 inference(monotonicity,[status(thm)],[24690])).
% 28.42/18.94 tff(24692,plain,
% 28.42/18.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 28.42/18.94 inference(transitivity,[status(thm)],[24691, 24689])).
% 28.42/18.94 tff(24693,plain,
% 28.42/18.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))),
% 28.42/18.94 inference(quant_inst,[status(thm)],[])).
% 28.42/18.94 tff(24694,plain,
% 28.42/18.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178))),
% 28.42/18.94 inference(modus_ponens,[status(thm)],[24693, 24692])).
% 28.42/18.94 tff(24695,plain,
% 28.42/18.94 (v100(constB178) | (~v101(constB178)) | (~v110(constB178))),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24694, 425, 24663])).
% 28.42/18.94 tff(24696,plain,
% 28.42/18.94 (v100(constB178) | (~v110(constB178))),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24695, 24688])).
% 28.42/18.94 tff(24697,plain,
% 28.42/18.94 (v100(constB178)),
% 28.42/18.94 inference(unit_resolution,[status(thm)],[24696, 24671])).
% 28.42/18.94 tff(24698,plain,
% 28.42/18.94 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB177)) | v130(constB177, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB177)) | v130(constB177, 2))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24699,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB177)) | v130(constB177, 2))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24700,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB177)) | v130(constB177, 2)),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24699, 24698])).
% 28.42/18.95 tff(24701,plain,
% 28.42/18.95 (v130(constB177, 2)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24700, 1656, 24620])).
% 28.42/18.95 tff(24702,plain,
% 28.42/18.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB177) | (~v130(constB177, 2)) | v127(constB177, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB177) | (~v130(constB177, 2)) | v127(constB177, 2))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24703,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB177) | (~v130(constB177, 2)) | v127(constB177, 2))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24704,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB177) | (~v130(constB177, 2)) | v127(constB177, 2)),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24703, 24702])).
% 28.42/18.95 tff(24705,plain,
% 28.42/18.95 ((~v130(constB177, 2)) | v127(constB177, 2)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24704, 1498, 24645])).
% 28.42/18.95 tff(24706,plain,
% 28.42/18.95 (v127(constB177, 2)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24705, 24701])).
% 28.42/18.95 tff(24707,plain,
% 28.42/18.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB177, constB178)) | (~v127(constB177, 2)) | v129(constB178, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB177, constB178)) | (~v127(constB177, 2)) | v129(constB178, 2))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24708,plain,
% 28.42/18.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB177, constB178)) | (~v127(constB177, 2)) | v129(constB178, 2))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24709,plain,
% 28.42/18.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB177, constB178)) | (~v127(constB177, 2)) | v129(constB178, 2)),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24708, 24707])).
% 28.42/18.95 tff(24710,plain,
% 28.42/18.95 ((~v127(constB177, 2)) | v129(constB178, 2)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24709, 1513, 24663])).
% 28.42/18.95 tff(24711,plain,
% 28.42/18.95 (v129(constB178, 2)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24710, 24706])).
% 28.42/18.95 tff(24712,plain,
% 28.42/18.95 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB178, 2) | (~v129(constB178, 2)) | (~v100(constB178)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB178, 2) | (~v129(constB178, 2)) | (~v100(constB178)))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24713,plain,
% 28.42/18.95 ((v90(constB178, 2) | (~v100(constB178)) | (~v129(constB178, 2))) <=> (v90(constB178, 2) | (~v129(constB178, 2)) | (~v100(constB178)))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24714,plain,
% 28.42/18.95 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB178, 2) | (~v100(constB178)) | (~v129(constB178, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB178, 2) | (~v129(constB178, 2)) | (~v100(constB178))))),
% 28.42/18.95 inference(monotonicity,[status(thm)],[24713])).
% 28.42/18.95 tff(24715,plain,
% 28.42/18.95 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB178, 2) | (~v100(constB178)) | (~v129(constB178, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB178, 2) | (~v129(constB178, 2)) | (~v100(constB178)))),
% 28.42/18.95 inference(transitivity,[status(thm)],[24714, 24712])).
% 28.42/18.95 tff(24716,plain,
% 28.42/18.95 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB178, 2) | (~v100(constB178)) | (~v129(constB178, 2)))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24717,plain,
% 28.42/18.95 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB178, 2) | (~v129(constB178, 2)) | (~v100(constB178))),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24716, 24715])).
% 28.42/18.95 tff(24718,plain,
% 28.42/18.95 (v90(constB178, 2) | (~v100(constB178))),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24717, 1528, 24711])).
% 28.42/18.95 tff(24719,plain,
% 28.42/18.95 (v90(constB178, 2)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24718, 24697])).
% 28.42/18.95 tff(24720,plain,
% 28.42/18.95 ((~v1(constB179)) <=> (~v1(constB179))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24721,axiom,(~v1(constB179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_179_1_1')).
% 28.42/18.95 tff(24722,plain,
% 28.42/18.95 (~v1(constB179)),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24721, 24720])).
% 28.42/18.95 tff(24723,plain,
% 28.42/18.95 (nextState(constB178, constB179) <=> nextState(constB178, constB179)),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24724,axiom,(nextState(constB178, constB179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_178_1')).
% 28.42/18.95 tff(24725,plain,
% 28.42/18.95 (nextState(constB178, constB179)),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24724, 24723])).
% 28.42/18.95 tff(24726,plain,
% 28.42/18.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24727,plain,
% 28.42/18.95 (((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179)) <=> (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24728,plain,
% 28.42/18.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179))))),
% 28.42/18.95 inference(monotonicity,[status(thm)],[24727])).
% 28.42/18.95 tff(24729,plain,
% 28.42/18.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 28.42/18.95 inference(transitivity,[status(thm)],[24728, 24726])).
% 28.42/18.95 tff(24730,plain,
% 28.42/18.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24731,plain,
% 28.42/18.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179))),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24730, 24729])).
% 28.42/18.95 tff(24732,plain,
% 28.42/18.95 (~v101(constB179)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24731, 138, 24725, 24722])).
% 28.42/18.95 tff(24733,plain,
% 28.42/18.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24734,plain,
% 28.42/18.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24735,plain,
% 28.42/18.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179))),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24734, 24733])).
% 28.42/18.95 tff(24736,plain,
% 28.42/18.95 (v101(constB179) | (~v100(constB179))),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24735, 155, 24725])).
% 28.42/18.95 tff(24737,plain,
% 28.42/18.95 (~v100(constB179)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24736, 24732])).
% 28.42/18.95 tff(24738,plain,
% 28.42/18.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB178, 2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB178, 2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 2))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24739,plain,
% 28.42/18.95 (((~nextState(constB178, constB179)) | (~v90(constB178, 2)) | v100(constB179) | v90(constB179, 2)) <=> ((~v90(constB178, 2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 2))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24740,plain,
% 28.42/18.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB178, constB179)) | (~v90(constB178, 2)) | v100(constB179) | v90(constB179, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB178, 2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 2)))),
% 28.42/18.95 inference(monotonicity,[status(thm)],[24739])).
% 28.42/18.95 tff(24741,plain,
% 28.42/18.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB178, constB179)) | (~v90(constB178, 2)) | v100(constB179) | v90(constB179, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB178, 2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 2))),
% 28.42/18.95 inference(transitivity,[status(thm)],[24740, 24738])).
% 28.42/18.95 tff(24742,plain,
% 28.42/18.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB178, constB179)) | (~v90(constB178, 2)) | v100(constB179) | v90(constB179, 2))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24743,plain,
% 28.42/18.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB178, 2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 2)),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24742, 24741])).
% 28.42/18.95 tff(24744,plain,
% 28.42/18.95 ((~v90(constB178, 2)) | v100(constB179) | v90(constB179, 2)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24743, 1546, 24725])).
% 28.42/18.95 tff(24745,plain,
% 28.42/18.95 ((~v90(constB178, 2)) | v90(constB179, 2)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24744, 24737])).
% 28.42/18.95 tff(24746,plain,
% 28.42/18.95 (v90(constB179, 2)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24745, 24719])).
% 28.42/18.95 tff(24747,plain,
% 28.42/18.95 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB177)) | (~v130(constB177, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB177)) | (~v130(constB177, 1)))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24748,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB177)) | (~v130(constB177, 1)))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24749,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB177)) | (~v130(constB177, 1))),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24748, 24747])).
% 28.42/18.95 tff(24750,plain,
% 28.42/18.95 (~v130(constB177, 1)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24749, 1712, 24620])).
% 28.42/18.95 tff(24751,plain,
% 28.42/18.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB177, 1)) | v26(constB177) | v130(constB177, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB177, 1)) | v26(constB177) | v130(constB177, 1))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24752,plain,
% 28.42/18.95 ((v26(constB177) | v130(constB177, 1) | (~v127(constB177, 1))) <=> ((~v127(constB177, 1)) | v26(constB177) | v130(constB177, 1))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24753,plain,
% 28.42/18.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB177) | v130(constB177, 1) | (~v127(constB177, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB177, 1)) | v26(constB177) | v130(constB177, 1)))),
% 28.42/18.95 inference(monotonicity,[status(thm)],[24752])).
% 28.42/18.95 tff(24754,plain,
% 28.42/18.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB177) | v130(constB177, 1) | (~v127(constB177, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB177, 1)) | v26(constB177) | v130(constB177, 1))),
% 28.42/18.95 inference(transitivity,[status(thm)],[24753, 24751])).
% 28.42/18.95 tff(24755,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB177) | v130(constB177, 1) | (~v127(constB177, 1)))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24756,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB177, 1)) | v26(constB177) | v130(constB177, 1)),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24755, 24754])).
% 28.42/18.95 tff(24757,plain,
% 28.42/18.95 ((~v127(constB177, 1)) | v130(constB177, 1)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24756, 541, 24645])).
% 28.42/18.95 tff(24758,plain,
% 28.42/18.95 (~v127(constB177, 1)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24757, 24750])).
% 28.42/18.95 tff(24759,plain,
% 28.42/18.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB177, constB178)) | v127(constB177, 1) | (~v129(constB178, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB177, constB178)) | v127(constB177, 1) | (~v129(constB178, 1)))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24760,plain,
% 28.42/18.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB177, constB178)) | v127(constB177, 1) | (~v129(constB178, 1)))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24761,plain,
% 28.42/18.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB177, constB178)) | v127(constB177, 1) | (~v129(constB178, 1))),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24760, 24759])).
% 28.42/18.95 tff(24762,plain,
% 28.42/18.95 (v127(constB177, 1) | (~v129(constB178, 1))),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24761, 559, 24663])).
% 28.42/18.95 tff(24763,plain,
% 28.42/18.95 (~v129(constB178, 1)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24762, 24758])).
% 28.42/18.95 tff(24764,plain,
% 28.42/18.95 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB178, 1)) | v129(constB178, 1) | (~v100(constB178)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB178, 1)) | v129(constB178, 1) | (~v100(constB178)))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24765,plain,
% 28.42/18.95 (((~v90(constB178, 1)) | (~v100(constB178)) | v129(constB178, 1)) <=> ((~v90(constB178, 1)) | v129(constB178, 1) | (~v100(constB178)))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24766,plain,
% 28.42/18.95 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB178, 1)) | (~v100(constB178)) | v129(constB178, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB178, 1)) | v129(constB178, 1) | (~v100(constB178))))),
% 28.42/18.95 inference(monotonicity,[status(thm)],[24765])).
% 28.42/18.95 tff(24767,plain,
% 28.42/18.95 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB178, 1)) | (~v100(constB178)) | v129(constB178, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB178, 1)) | v129(constB178, 1) | (~v100(constB178)))),
% 28.42/18.95 inference(transitivity,[status(thm)],[24766, 24764])).
% 28.42/18.95 tff(24768,plain,
% 28.42/18.95 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB178, 1)) | (~v100(constB178)) | v129(constB178, 1))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24769,plain,
% 28.42/18.95 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB178, 1)) | v129(constB178, 1) | (~v100(constB178))),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24768, 24767])).
% 28.42/18.95 tff(24770,plain,
% 28.42/18.95 ((~v90(constB178, 1)) | (~v100(constB178))),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24769, 574, 24763])).
% 28.42/18.95 tff(24771,plain,
% 28.42/18.95 (~v90(constB178, 1)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24770, 24697])).
% 28.42/18.95 tff(24772,plain,
% 28.42/18.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB178, 1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB178, 1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, 1)))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24773,plain,
% 28.42/18.95 (((~nextState(constB178, constB179)) | v90(constB178, 1) | v100(constB179) | (~v90(constB179, 1))) <=> (v90(constB178, 1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, 1)))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24774,plain,
% 28.42/18.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB178, constB179)) | v90(constB178, 1) | v100(constB179) | (~v90(constB179, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB178, 1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, 1))))),
% 28.42/18.95 inference(monotonicity,[status(thm)],[24773])).
% 28.42/18.95 tff(24775,plain,
% 28.42/18.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB178, constB179)) | v90(constB178, 1) | v100(constB179) | (~v90(constB179, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB178, 1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, 1)))),
% 28.42/18.95 inference(transitivity,[status(thm)],[24774, 24772])).
% 28.42/18.95 tff(24776,plain,
% 28.42/18.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB178, constB179)) | v90(constB178, 1) | v100(constB179) | (~v90(constB179, 1)))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24777,plain,
% 28.42/18.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB178, 1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, 1))),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24776, 24775])).
% 28.42/18.95 tff(24778,plain,
% 28.42/18.95 (v90(constB178, 1) | v100(constB179) | (~v90(constB179, 1))),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24777, 191, 24725])).
% 28.42/18.95 tff(24779,plain,
% 28.42/18.95 (v90(constB178, 1) | (~v90(constB179, 1))),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24778, 24737])).
% 28.42/18.95 tff(24780,plain,
% 28.42/18.95 (~v90(constB179, 1)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24779, 24771])).
% 28.42/18.95 tff(24781,plain,
% 28.42/18.95 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB177)) | (~v90(constB177, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB177)) | (~v90(constB177, 2)))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24782,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB177)) | (~v90(constB177, 2)))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24783,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB177)) | (~v90(constB177, 2))),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24782, 24781])).
% 28.42/18.95 tff(24784,plain,
% 28.42/18.95 (~v119(constB177)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24783, 3887, 24548])).
% 28.42/18.95 tff(24785,plain,
% 28.42/18.95 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB177)) | (~v90(constB177, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB177)) | (~v90(constB177, 2)))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24786,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB177)) | (~v90(constB177, 2)))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24787,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB177)) | (~v90(constB177, 2))),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24786, 24785])).
% 28.42/18.95 tff(24788,plain,
% 28.42/18.95 (~v120(constB177)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24787, 3898, 24548])).
% 28.42/18.95 tff(24789,assumption,(~v120(constB177)), introduced(assumption)).
% 28.42/18.95 tff(24790,assumption,(~v130(constB177, 0)), introduced(assumption)).
% 28.42/18.95 tff(24791,plain,
% 28.42/18.95 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB177)) | v130(constB177, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB177)) | v130(constB177, 0))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24792,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB177)) | v130(constB177, 0))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24793,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB177)) | v130(constB177, 0)),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24792, 24791])).
% 28.42/18.95 tff(24794,plain,
% 28.42/18.95 (~v123(constB177)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24793, 1753, 24790])).
% 28.42/18.95 tff(24795,plain,
% 28.42/18.95 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB177)) | v130(constB177, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB177)) | v130(constB177, 0))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24796,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB177)) | v130(constB177, 0))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24797,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB177)) | v130(constB177, 0)),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24796, 24795])).
% 28.42/18.95 tff(24798,plain,
% 28.42/18.95 (~v121(constB177)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24797, 1099, 24790])).
% 28.42/18.95 tff(24799,assumption,(~v119(constB177)), introduced(assumption)).
% 28.42/18.95 tff(24800,assumption,(~v90(constB177, 0)), introduced(assumption)).
% 28.42/18.95 tff(24801,assumption,(~v121(constB177)), introduced(assumption)).
% 28.42/18.95 tff(24802,assumption,(~v90(constB177, 2)), introduced(assumption)).
% 28.42/18.95 tff(24803,plain,
% 28.42/18.95 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB177, 0) | v90(constB177, 1) | v90(constB177, 2) | v119(constB177))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB177, 0) | v90(constB177, 1) | v90(constB177, 2) | v119(constB177))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24804,plain,
% 28.42/18.95 ((v90(constB177, 0) | v119(constB177) | v90(constB177, 1) | v90(constB177, 2)) <=> (v90(constB177, 0) | v90(constB177, 1) | v90(constB177, 2) | v119(constB177))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24805,plain,
% 28.42/18.95 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB177, 0) | v119(constB177) | v90(constB177, 1) | v90(constB177, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB177, 0) | v90(constB177, 1) | v90(constB177, 2) | v119(constB177)))),
% 28.42/18.95 inference(monotonicity,[status(thm)],[24804])).
% 28.42/18.95 tff(24806,plain,
% 28.42/18.95 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB177, 0) | v119(constB177) | v90(constB177, 1) | v90(constB177, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB177, 0) | v90(constB177, 1) | v90(constB177, 2) | v119(constB177))),
% 28.42/18.95 inference(transitivity,[status(thm)],[24805, 24803])).
% 28.42/18.95 tff(24807,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB177, 0) | v119(constB177) | v90(constB177, 1) | v90(constB177, 2))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24808,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB177, 0) | v90(constB177, 1) | v90(constB177, 2) | v119(constB177)),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24807, 24806])).
% 28.42/18.95 tff(24809,plain,
% 28.42/18.95 (v90(constB177, 0) | v90(constB177, 1) | v90(constB177, 2)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24808, 233, 24799])).
% 28.42/18.95 tff(24810,plain,
% 28.42/18.95 (v90(constB177, 1)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24809, 24802, 24800])).
% 28.42/18.95 tff(24811,plain,
% 28.42/18.95 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB177, 0) | (~v90(constB177, 1)) | v90(constB177, 2) | v121(constB177))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB177, 0) | (~v90(constB177, 1)) | v90(constB177, 2) | v121(constB177))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24812,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB177, 0) | (~v90(constB177, 1)) | v90(constB177, 2) | v121(constB177))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24813,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB177, 0) | (~v90(constB177, 1)) | v90(constB177, 2) | v121(constB177)),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24812, 24811])).
% 28.42/18.95 tff(24814,plain,
% 28.42/18.95 ((~v90(constB177, 1)) | v90(constB177, 2) | v121(constB177)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24813, 993, 24800])).
% 28.42/18.95 tff(24815,plain,
% 28.42/18.95 ($false),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24814, 24810, 24802, 24801])).
% 28.42/18.95 tff(24816,plain,(v90(constB177, 2) | v121(constB177) | v90(constB177, 0) | v119(constB177)), inference(lemma,lemma(discharge,[]))).
% 28.42/18.95 tff(24817,plain,
% 28.42/18.95 (v90(constB177, 2)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24816, 24800, 24798, 24799])).
% 28.42/18.95 tff(24818,plain,
% 28.42/18.95 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB177)) | (~v90(constB177, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB177)) | (~v90(constB177, 2)))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24819,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB177)) | (~v90(constB177, 2)))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24820,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB177)) | (~v90(constB177, 2))),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24819, 24818])).
% 28.42/18.95 tff(24821,plain,
% 28.42/18.95 (~v122(constB177)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24820, 2119, 24817])).
% 28.42/18.95 tff(24822,plain,
% 28.42/18.95 (v90(constB177, 0) | v90(constB177, 1) | (~v90(constB177, 2))),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24619, 1565, 24794])).
% 28.42/18.95 tff(24823,plain,
% 28.42/18.95 (v90(constB177, 1)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24822, 24817, 24800])).
% 28.42/18.95 tff(24824,plain,
% 28.42/18.95 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB177)) | (~v90(constB177, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB177)) | (~v90(constB177, 1)))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24825,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB177)) | (~v90(constB177, 1)))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24826,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB177)) | (~v90(constB177, 1))),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24825, 24824])).
% 28.42/18.95 tff(24827,plain,
% 28.42/18.95 (~v124(constB177)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24826, 2097, 24823])).
% 28.42/18.95 tff(24828,plain,
% 28.42/18.95 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB177) | v120(constB177) | v121(constB177) | v122(constB177) | v123(constB177) | v124(constB177) | v130(constB177, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB177) | v120(constB177) | v121(constB177) | v122(constB177) | v123(constB177) | v124(constB177) | v130(constB177, 0))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24829,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB177) | v120(constB177) | v121(constB177) | v122(constB177) | v123(constB177) | v124(constB177) | v130(constB177, 0))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24830,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB177) | v120(constB177) | v121(constB177) | v122(constB177) | v123(constB177) | v124(constB177) | v130(constB177, 0)),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24829, 24828])).
% 28.42/18.95 tff(24831,plain,
% 28.42/18.95 (v120(constB177) | v121(constB177) | v122(constB177) | v123(constB177) | v124(constB177) | v130(constB177, 0)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24830, 2258, 24799])).
% 28.42/18.95 tff(24832,plain,
% 28.42/18.95 ($false),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24831, 24827, 24821, 24790, 24798, 24794, 24789])).
% 28.42/18.95 tff(24833,plain,(v90(constB177, 0) | v130(constB177, 0) | v120(constB177) | v119(constB177)), inference(lemma,lemma(discharge,[]))).
% 28.42/18.95 tff(24834,plain,
% 28.42/18.95 (v130(constB177, 0)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24833, 24788, 24616, 24784])).
% 28.42/18.95 tff(24835,plain,
% 28.42/18.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB177) | (~v130(constB177, 0)) | v127(constB177, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB177) | (~v130(constB177, 0)) | v127(constB177, 0))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24836,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB177) | (~v130(constB177, 0)) | v127(constB177, 0))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24837,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB177) | (~v130(constB177, 0)) | v127(constB177, 0)),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24836, 24835])).
% 28.42/18.95 tff(24838,plain,
% 28.42/18.95 ((~v130(constB177, 0)) | v127(constB177, 0)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24837, 612, 24645])).
% 28.42/18.95 tff(24839,plain,
% 28.42/18.95 (v127(constB177, 0)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24838, 24834])).
% 28.42/18.95 tff(24840,plain,
% 28.42/18.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB177, constB178)) | (~v127(constB177, 0)) | v129(constB178, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB177, constB178)) | (~v127(constB177, 0)) | v129(constB178, 0))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24841,plain,
% 28.42/18.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB177, constB178)) | (~v127(constB177, 0)) | v129(constB178, 0))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24842,plain,
% 28.42/18.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB177, constB178)) | (~v127(constB177, 0)) | v129(constB178, 0)),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24841, 24840])).
% 28.42/18.95 tff(24843,plain,
% 28.42/18.95 ((~v127(constB177, 0)) | v129(constB178, 0)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24842, 627, 24663])).
% 28.42/18.95 tff(24844,plain,
% 28.42/18.95 (v129(constB178, 0)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24843, 24839])).
% 28.42/18.95 tff(24845,plain,
% 28.42/18.95 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB178, 0) | (~v129(constB178, 0)) | (~v100(constB178)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB178, 0) | (~v129(constB178, 0)) | (~v100(constB178)))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24846,plain,
% 28.42/18.95 ((v90(constB178, 0) | (~v100(constB178)) | (~v129(constB178, 0))) <=> (v90(constB178, 0) | (~v129(constB178, 0)) | (~v100(constB178)))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24847,plain,
% 28.42/18.95 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB178, 0) | (~v100(constB178)) | (~v129(constB178, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB178, 0) | (~v129(constB178, 0)) | (~v100(constB178))))),
% 28.42/18.95 inference(monotonicity,[status(thm)],[24846])).
% 28.42/18.95 tff(24848,plain,
% 28.42/18.95 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB178, 0) | (~v100(constB178)) | (~v129(constB178, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB178, 0) | (~v129(constB178, 0)) | (~v100(constB178)))),
% 28.42/18.95 inference(transitivity,[status(thm)],[24847, 24845])).
% 28.42/18.95 tff(24849,plain,
% 28.42/18.95 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB178, 0) | (~v100(constB178)) | (~v129(constB178, 0)))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24850,plain,
% 28.42/18.95 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB178, 0) | (~v129(constB178, 0)) | (~v100(constB178))),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24849, 24848])).
% 28.42/18.95 tff(24851,plain,
% 28.42/18.95 (v90(constB178, 0) | (~v100(constB178))),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24850, 642, 24844])).
% 28.42/18.95 tff(24852,plain,
% 28.42/18.95 (v90(constB178, 0)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24851, 24697])).
% 28.42/18.95 tff(24853,plain,
% 28.42/18.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB178, 0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB178, 0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 0))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24854,plain,
% 28.42/18.95 (((~nextState(constB178, constB179)) | (~v90(constB178, 0)) | v100(constB179) | v90(constB179, 0)) <=> ((~v90(constB178, 0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 0))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24855,plain,
% 28.42/18.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB178, constB179)) | (~v90(constB178, 0)) | v100(constB179) | v90(constB179, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB178, 0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 0)))),
% 28.42/18.95 inference(monotonicity,[status(thm)],[24854])).
% 28.42/18.95 tff(24856,plain,
% 28.42/18.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB178, constB179)) | (~v90(constB178, 0)) | v100(constB179) | v90(constB179, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB178, 0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 0))),
% 28.42/18.95 inference(transitivity,[status(thm)],[24855, 24853])).
% 28.42/18.95 tff(24857,plain,
% 28.42/18.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB178, constB179)) | (~v90(constB178, 0)) | v100(constB179) | v90(constB179, 0))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24858,plain,
% 28.42/18.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB178, 0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 0)),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24857, 24856])).
% 28.42/18.95 tff(24859,plain,
% 28.42/18.95 ((~v90(constB178, 0)) | v100(constB179) | v90(constB179, 0)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24858, 660, 24725])).
% 28.42/18.95 tff(24860,plain,
% 28.42/18.95 ((~v90(constB178, 0)) | v90(constB179, 0)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24859, 24737])).
% 28.42/18.95 tff(24861,plain,
% 28.42/18.95 (v90(constB179, 0)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24860, 24852])).
% 28.42/18.95 tff(24862,plain,
% 28.42/18.95 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB179, 0)) | v90(constB179, 1) | (~v90(constB179, 2)) | v124(constB179))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB179, 0)) | v90(constB179, 1) | (~v90(constB179, 2)) | v124(constB179))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24863,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB179, 0)) | v90(constB179, 1) | (~v90(constB179, 2)) | v124(constB179))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24864,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB179, 0)) | v90(constB179, 1) | (~v90(constB179, 2)) | v124(constB179)),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24863, 24862])).
% 28.42/18.95 tff(24865,plain,
% 28.42/18.95 (v124(constB179)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24864, 1794, 24861, 24780, 24746])).
% 28.42/18.95 tff(24866,plain,
% 28.42/18.95 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB179)) | v114(constB179))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB179)) | v114(constB179))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24867,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB179)) | v114(constB179))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24868,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB179)) | v114(constB179)),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24867, 24866])).
% 28.42/18.95 tff(24869,plain,
% 28.42/18.95 (v114(constB179)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24868, 1805, 24865])).
% 28.42/18.95 tff(24870,plain,
% 28.42/18.95 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB179) | (~v114(constB179)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB179) | (~v114(constB179)))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24871,plain,
% 28.42/18.95 (((~v114(constB179)) | v113(constB179)) <=> (v113(constB179) | (~v114(constB179)))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24872,plain,
% 28.42/18.95 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB179)) | v113(constB179))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB179) | (~v114(constB179))))),
% 28.42/18.95 inference(monotonicity,[status(thm)],[24871])).
% 28.42/18.95 tff(24873,plain,
% 28.42/18.95 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB179)) | v113(constB179))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB179) | (~v114(constB179)))),
% 28.42/18.95 inference(transitivity,[status(thm)],[24872, 24870])).
% 28.42/18.95 tff(24874,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB179)) | v113(constB179))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24875,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB179) | (~v114(constB179))),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24874, 24873])).
% 28.42/18.95 tff(24876,plain,
% 28.42/18.95 (v113(constB179)),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24875, 314, 24869])).
% 28.42/18.95 tff(24877,assumption,(v26(constB179)), introduced(assumption)).
% 28.42/18.95 tff(24878,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB179))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24879,plain,
% 28.42/18.95 ($false),
% 28.42/18.95 inference(unit_resolution,[status(thm)],[24878, 95, 24877])).
% 28.42/18.95 tff(24880,plain,(~v26(constB179)), inference(lemma,lemma(discharge,[]))).
% 28.42/18.95 tff(24881,plain,
% 28.42/18.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | v112(constB179) | (~v113(constB179)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | v112(constB179) | (~v113(constB179)))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24882,plain,
% 28.42/18.95 ((v26(constB179) | (~v113(constB179)) | v112(constB179)) <=> (v26(constB179) | v112(constB179) | (~v113(constB179)))),
% 28.42/18.95 inference(rewrite,[status(thm)],[])).
% 28.42/18.95 tff(24883,plain,
% 28.42/18.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | v112(constB179) | (~v113(constB179))))),
% 28.42/18.95 inference(monotonicity,[status(thm)],[24882])).
% 28.42/18.95 tff(24884,plain,
% 28.42/18.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | v112(constB179) | (~v113(constB179)))),
% 28.42/18.95 inference(transitivity,[status(thm)],[24883, 24881])).
% 28.42/18.95 tff(24885,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))),
% 28.42/18.95 inference(quant_inst,[status(thm)],[])).
% 28.42/18.95 tff(24886,plain,
% 28.42/18.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | v112(constB179) | (~v113(constB179))),
% 28.42/18.95 inference(modus_ponens,[status(thm)],[24885, 24884])).
% 28.42/18.95 tff(24887,plain,
% 28.42/18.95 (v112(constB179) | (~v113(constB179))),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24886, 328, 24880])).
% 28.42/18.96 tff(24888,plain,
% 28.42/18.96 (v112(constB179)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24887, 24876])).
% 28.42/18.96 tff(24889,plain,
% 28.42/18.96 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB179) | (~v112(constB179)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v112(constB179)))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(24890,plain,
% 28.42/18.96 (((~v112(constB179)) | v108(constB179)) <=> (v108(constB179) | (~v112(constB179)))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(24891,plain,
% 28.42/18.96 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB179)) | v108(constB179))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB179) | (~v112(constB179))))),
% 28.42/18.96 inference(monotonicity,[status(thm)],[24890])).
% 28.42/18.96 tff(24892,plain,
% 28.42/18.96 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB179)) | v108(constB179))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v112(constB179)))),
% 28.42/18.96 inference(transitivity,[status(thm)],[24891, 24889])).
% 28.42/18.96 tff(24893,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB179)) | v108(constB179))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(24894,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v112(constB179))),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[24893, 24892])).
% 28.42/18.96 tff(24895,plain,
% 28.42/18.96 (v108(constB179)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24894, 340, 24888])).
% 28.42/18.96 tff(24896,plain,
% 28.42/18.96 (nextState(constB179, constB180) <=> nextState(constB179, constB180)),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(24897,axiom,(nextState(constB179, constB180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_179_1')).
% 28.42/18.96 tff(24898,plain,
% 28.42/18.96 (nextState(constB179, constB180)),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[24897, 24896])).
% 28.42/18.96 tff(24899,plain,
% 28.42/18.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(24900,plain,
% 28.42/18.96 (((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180)) <=> ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(24901,plain,
% 28.42/18.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179))))),
% 28.42/18.96 inference(monotonicity,[status(thm)],[24900])).
% 28.42/18.96 tff(24902,plain,
% 28.42/18.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 28.42/18.96 inference(transitivity,[status(thm)],[24901, 24899])).
% 28.42/18.96 tff(24903,plain,
% 28.42/18.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(24904,plain,
% 28.42/18.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179))),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[24903, 24902])).
% 28.42/18.96 tff(24905,plain,
% 28.42/18.96 (v110(constB180) | (~v108(constB179))),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24904, 360, 24898])).
% 28.42/18.96 tff(24906,plain,
% 28.42/18.96 (v110(constB180)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24905, 24895])).
% 28.42/18.96 tff(24907,plain,
% 28.42/18.96 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(24908,plain,
% 28.42/18.96 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(24909,plain,
% 28.42/18.96 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180))),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[24908, 24907])).
% 28.42/18.96 tff(24910,plain,
% 28.42/18.96 (~v104(constB180)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24909, 378, 24898, 24722])).
% 28.42/18.96 tff(24911,plain,
% 28.42/18.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(24912,plain,
% 28.42/18.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(24913,plain,
% 28.42/18.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB179, constB180)) | v102(constB180) | v104(constB180)),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[24912, 24911])).
% 28.42/18.96 tff(24914,plain,
% 28.42/18.96 (v102(constB180) | v104(constB180)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24913, 392, 24898])).
% 28.42/18.96 tff(24915,plain,
% 28.42/18.96 (v102(constB180)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24914, 24910])).
% 28.42/18.96 tff(24916,plain,
% 28.42/18.96 (v1(constB180) <=> v1(constB180)),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(24917,axiom,(v1(constB180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_180_1')).
% 28.42/18.96 tff(24918,plain,
% 28.42/18.96 (v1(constB180)),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[24917, 24916])).
% 28.42/18.96 tff(24919,plain,
% 28.42/18.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(24920,plain,
% 28.42/18.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(24921,plain,
% 28.42/18.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180))),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[24920, 24919])).
% 28.42/18.96 tff(24922,plain,
% 28.42/18.96 (v101(constB180) | (~v102(constB180))),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24921, 410, 24898, 24918])).
% 28.42/18.96 tff(24923,plain,
% 28.42/18.96 (v101(constB180)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24922, 24915])).
% 28.42/18.96 tff(24924,plain,
% 28.42/18.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(24925,plain,
% 28.42/18.96 (((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180)) <=> ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(24926,plain,
% 28.42/18.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180))))),
% 28.42/18.96 inference(monotonicity,[status(thm)],[24925])).
% 28.42/18.96 tff(24927,plain,
% 28.42/18.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 28.42/18.96 inference(transitivity,[status(thm)],[24926, 24924])).
% 28.42/18.96 tff(24928,plain,
% 28.42/18.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(24929,plain,
% 28.42/18.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180))),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[24928, 24927])).
% 28.42/18.96 tff(24930,plain,
% 28.42/18.96 (v100(constB180) | (~v101(constB180)) | (~v110(constB180))),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24929, 425, 24898])).
% 28.42/18.96 tff(24931,plain,
% 28.42/18.96 (v100(constB180) | (~v110(constB180))),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24930, 24923])).
% 28.42/18.96 tff(24932,plain,
% 28.42/18.96 (v100(constB180)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24931, 24906])).
% 28.42/18.96 tff(24933,plain,
% 28.42/18.96 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB179)) | v130(constB179, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB179)) | v130(constB179, 2))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(24934,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB179)) | v130(constB179, 2))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(24935,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB179)) | v130(constB179, 2)),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[24934, 24933])).
% 28.42/18.96 tff(24936,plain,
% 28.42/18.96 (v130(constB179, 2)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24935, 1873, 24865])).
% 28.42/18.96 tff(24937,plain,
% 28.42/18.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB179) | (~v130(constB179, 2)) | v127(constB179, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB179) | (~v130(constB179, 2)) | v127(constB179, 2))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(24938,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB179) | (~v130(constB179, 2)) | v127(constB179, 2))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(24939,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB179) | (~v130(constB179, 2)) | v127(constB179, 2)),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[24938, 24937])).
% 28.42/18.96 tff(24940,plain,
% 28.42/18.96 ((~v130(constB179, 2)) | v127(constB179, 2)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24939, 1498, 24880])).
% 28.42/18.96 tff(24941,plain,
% 28.42/18.96 (v127(constB179, 2)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24940, 24936])).
% 28.42/18.96 tff(24942,plain,
% 28.42/18.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB179, constB180)) | (~v127(constB179, 2)) | v129(constB180, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB179, constB180)) | (~v127(constB179, 2)) | v129(constB180, 2))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(24943,plain,
% 28.42/18.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB179, constB180)) | (~v127(constB179, 2)) | v129(constB180, 2))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(24944,plain,
% 28.42/18.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB179, constB180)) | (~v127(constB179, 2)) | v129(constB180, 2)),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[24943, 24942])).
% 28.42/18.96 tff(24945,plain,
% 28.42/18.96 ((~v127(constB179, 2)) | v129(constB180, 2)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24944, 1513, 24898])).
% 28.42/18.96 tff(24946,plain,
% 28.42/18.96 (v129(constB180, 2)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24945, 24941])).
% 28.42/18.96 tff(24947,plain,
% 28.42/18.96 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB180, 2) | (~v129(constB180, 2)) | (~v100(constB180)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB180, 2) | (~v129(constB180, 2)) | (~v100(constB180)))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(24948,plain,
% 28.42/18.96 ((v90(constB180, 2) | (~v100(constB180)) | (~v129(constB180, 2))) <=> (v90(constB180, 2) | (~v129(constB180, 2)) | (~v100(constB180)))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(24949,plain,
% 28.42/18.96 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB180, 2) | (~v100(constB180)) | (~v129(constB180, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB180, 2) | (~v129(constB180, 2)) | (~v100(constB180))))),
% 28.42/18.96 inference(monotonicity,[status(thm)],[24948])).
% 28.42/18.96 tff(24950,plain,
% 28.42/18.96 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB180, 2) | (~v100(constB180)) | (~v129(constB180, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB180, 2) | (~v129(constB180, 2)) | (~v100(constB180)))),
% 28.42/18.96 inference(transitivity,[status(thm)],[24949, 24947])).
% 28.42/18.96 tff(24951,plain,
% 28.42/18.96 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB180, 2) | (~v100(constB180)) | (~v129(constB180, 2)))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(24952,plain,
% 28.42/18.96 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB180, 2) | (~v129(constB180, 2)) | (~v100(constB180))),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[24951, 24950])).
% 28.42/18.96 tff(24953,plain,
% 28.42/18.96 (v90(constB180, 2) | (~v100(constB180))),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24952, 1528, 24946])).
% 28.42/18.96 tff(24954,plain,
% 28.42/18.96 (v90(constB180, 2)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24953, 24932])).
% 28.42/18.96 tff(24955,plain,
% 28.42/18.96 ((~v1(constB181)) <=> (~v1(constB181))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(24956,axiom,(~v1(constB181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_181_1_1')).
% 28.42/18.96 tff(24957,plain,
% 28.42/18.96 (~v1(constB181)),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[24956, 24955])).
% 28.42/18.96 tff(24958,plain,
% 28.42/18.96 (nextState(constB180, constB181) <=> nextState(constB180, constB181)),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(24959,axiom,(nextState(constB180, constB181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_180_1')).
% 28.42/18.96 tff(24960,plain,
% 28.42/18.96 (nextState(constB180, constB181)),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[24959, 24958])).
% 28.42/18.96 tff(24961,plain,
% 28.42/18.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(24962,plain,
% 28.42/18.96 (((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181)) <=> (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(24963,plain,
% 28.42/18.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181))))),
% 28.42/18.96 inference(monotonicity,[status(thm)],[24962])).
% 28.42/18.96 tff(24964,plain,
% 28.42/18.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 28.42/18.96 inference(transitivity,[status(thm)],[24963, 24961])).
% 28.42/18.96 tff(24965,plain,
% 28.42/18.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(24966,plain,
% 28.42/18.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181))),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[24965, 24964])).
% 28.42/18.96 tff(24967,plain,
% 28.42/18.96 (~v101(constB181)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24966, 138, 24960, 24957])).
% 28.42/18.96 tff(24968,plain,
% 28.42/18.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(24969,plain,
% 28.42/18.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(24970,plain,
% 28.42/18.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181))),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[24969, 24968])).
% 28.42/18.96 tff(24971,plain,
% 28.42/18.96 (v101(constB181) | (~v100(constB181))),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24970, 155, 24960])).
% 28.42/18.96 tff(24972,plain,
% 28.42/18.96 (~v100(constB181)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24971, 24967])).
% 28.42/18.96 tff(24973,plain,
% 28.42/18.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB180, 2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB180, 2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 2))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(24974,plain,
% 28.42/18.96 (((~nextState(constB180, constB181)) | (~v90(constB180, 2)) | v100(constB181) | v90(constB181, 2)) <=> ((~v90(constB180, 2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 2))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(24975,plain,
% 28.42/18.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB180, constB181)) | (~v90(constB180, 2)) | v100(constB181) | v90(constB181, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB180, 2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 2)))),
% 28.42/18.96 inference(monotonicity,[status(thm)],[24974])).
% 28.42/18.96 tff(24976,plain,
% 28.42/18.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB180, constB181)) | (~v90(constB180, 2)) | v100(constB181) | v90(constB181, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB180, 2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 2))),
% 28.42/18.96 inference(transitivity,[status(thm)],[24975, 24973])).
% 28.42/18.96 tff(24977,plain,
% 28.42/18.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB180, constB181)) | (~v90(constB180, 2)) | v100(constB181) | v90(constB181, 2))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(24978,plain,
% 28.42/18.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB180, 2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 2)),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[24977, 24976])).
% 28.42/18.96 tff(24979,plain,
% 28.42/18.96 ((~v90(constB180, 2)) | v100(constB181) | v90(constB181, 2)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24978, 1546, 24960])).
% 28.42/18.96 tff(24980,plain,
% 28.42/18.96 ((~v90(constB180, 2)) | v90(constB181, 2)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24979, 24972])).
% 28.42/18.96 tff(24981,plain,
% 28.42/18.96 (v90(constB181, 2)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24980, 24954])).
% 28.42/18.96 tff(24982,plain,
% 28.42/18.96 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB181)) | (~v90(constB181, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB181)) | (~v90(constB181, 2)))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(24983,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB181)) | (~v90(constB181, 2)))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(24984,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB181)) | (~v90(constB181, 2))),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[24983, 24982])).
% 28.42/18.96 tff(24985,plain,
% 28.42/18.96 (~v122(constB181)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24984, 2119, 24981])).
% 28.42/18.96 tff(24986,plain,
% 28.42/18.96 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB179)) | v130(constB179, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB179)) | v130(constB179, 1))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(24987,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB179)) | v130(constB179, 1))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(24988,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB179)) | v130(constB179, 1)),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[24987, 24986])).
% 28.42/18.96 tff(24989,plain,
% 28.42/18.96 (v130(constB179, 1)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24988, 1929, 24865])).
% 28.42/18.96 tff(24990,plain,
% 28.42/18.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB179) | (~v130(constB179, 1)) | v127(constB179, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB179) | (~v130(constB179, 1)) | v127(constB179, 1))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(24991,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB179) | (~v130(constB179, 1)) | v127(constB179, 1))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(24992,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB179) | (~v130(constB179, 1)) | v127(constB179, 1)),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[24991, 24990])).
% 28.42/18.96 tff(24993,plain,
% 28.42/18.96 ((~v130(constB179, 1)) | v127(constB179, 1)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24992, 855, 24880])).
% 28.42/18.96 tff(24994,plain,
% 28.42/18.96 (v127(constB179, 1)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24993, 24989])).
% 28.42/18.96 tff(24995,plain,
% 28.42/18.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB179, constB180)) | (~v127(constB179, 1)) | v129(constB180, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB179, constB180)) | (~v127(constB179, 1)) | v129(constB180, 1))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(24996,plain,
% 28.42/18.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB179, constB180)) | (~v127(constB179, 1)) | v129(constB180, 1))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(24997,plain,
% 28.42/18.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB179, constB180)) | (~v127(constB179, 1)) | v129(constB180, 1)),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[24996, 24995])).
% 28.42/18.96 tff(24998,plain,
% 28.42/18.96 ((~v127(constB179, 1)) | v129(constB180, 1)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24997, 870, 24898])).
% 28.42/18.96 tff(24999,plain,
% 28.42/18.96 (v129(constB180, 1)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[24998, 24994])).
% 28.42/18.96 tff(25000,plain,
% 28.42/18.96 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB180, 1) | (~v129(constB180, 1)) | (~v100(constB180)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB180, 1) | (~v129(constB180, 1)) | (~v100(constB180)))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(25001,plain,
% 28.42/18.96 ((v90(constB180, 1) | (~v100(constB180)) | (~v129(constB180, 1))) <=> (v90(constB180, 1) | (~v129(constB180, 1)) | (~v100(constB180)))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(25002,plain,
% 28.42/18.96 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB180, 1) | (~v100(constB180)) | (~v129(constB180, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB180, 1) | (~v129(constB180, 1)) | (~v100(constB180))))),
% 28.42/18.96 inference(monotonicity,[status(thm)],[25001])).
% 28.42/18.96 tff(25003,plain,
% 28.42/18.96 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB180, 1) | (~v100(constB180)) | (~v129(constB180, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB180, 1) | (~v129(constB180, 1)) | (~v100(constB180)))),
% 28.42/18.96 inference(transitivity,[status(thm)],[25002, 25000])).
% 28.42/18.96 tff(25004,plain,
% 28.42/18.96 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB180, 1) | (~v100(constB180)) | (~v129(constB180, 1)))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(25005,plain,
% 28.42/18.96 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB180, 1) | (~v129(constB180, 1)) | (~v100(constB180))),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[25004, 25003])).
% 28.42/18.96 tff(25006,plain,
% 28.42/18.96 (v90(constB180, 1) | (~v100(constB180))),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[25005, 885, 24999])).
% 28.42/18.96 tff(25007,plain,
% 28.42/18.96 (v90(constB180, 1)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[25006, 24932])).
% 28.42/18.96 tff(25008,plain,
% 28.42/18.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB180, 1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB180, 1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 1))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(25009,plain,
% 28.42/18.96 (((~nextState(constB180, constB181)) | (~v90(constB180, 1)) | v100(constB181) | v90(constB181, 1)) <=> ((~v90(constB180, 1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 1))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(25010,plain,
% 28.42/18.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, 1)) | v100(constB181) | v90(constB181, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB180, 1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 1)))),
% 28.42/18.96 inference(monotonicity,[status(thm)],[25009])).
% 28.42/18.96 tff(25011,plain,
% 28.42/18.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, 1)) | v100(constB181) | v90(constB181, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB180, 1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 1))),
% 28.42/18.96 inference(transitivity,[status(thm)],[25010, 25008])).
% 28.42/18.96 tff(25012,plain,
% 28.42/18.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, 1)) | v100(constB181) | v90(constB181, 1))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(25013,plain,
% 28.42/18.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB180, 1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 1)),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[25012, 25011])).
% 28.42/18.96 tff(25014,plain,
% 28.42/18.96 ((~v90(constB180, 1)) | v100(constB181) | v90(constB181, 1)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[25013, 903, 24960])).
% 28.42/18.96 tff(25015,plain,
% 28.42/18.96 ((~v90(constB180, 1)) | v90(constB181, 1)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[25014, 24972])).
% 28.42/18.96 tff(25016,plain,
% 28.42/18.96 (v90(constB181, 1)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[25015, 25007])).
% 28.42/18.96 tff(25017,plain,
% 28.42/18.96 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB181)) | (~v90(constB181, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB181)) | (~v90(constB181, 1)))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(25018,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB181)) | (~v90(constB181, 1)))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(25019,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB181)) | (~v90(constB181, 1))),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[25018, 25017])).
% 28.42/18.96 tff(25020,plain,
% 28.42/18.96 (~v120(constB181)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[25019, 2141, 25016])).
% 28.42/18.96 tff(25021,plain,
% 28.42/18.96 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB181)) | (~v90(constB181, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB181)) | (~v90(constB181, 1)))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(25022,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB181)) | (~v90(constB181, 1)))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(25023,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB181)) | (~v90(constB181, 1))),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[25022, 25021])).
% 28.42/18.96 tff(25024,plain,
% 28.42/18.96 (~v123(constB181)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[25023, 2108, 25016])).
% 28.42/18.96 tff(25025,plain,
% 28.42/18.96 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB181)) | (~v90(constB181, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB181)) | (~v90(constB181, 1)))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(25026,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB181)) | (~v90(constB181, 1)))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(25027,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB181)) | (~v90(constB181, 1))),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[25026, 25025])).
% 28.42/18.96 tff(25028,plain,
% 28.42/18.96 (~v124(constB181)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[25027, 2097, 25016])).
% 28.42/18.96 tff(25029,plain,
% 28.42/18.96 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB181)) | (~v90(constB181, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB181)) | (~v90(constB181, 2)))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(25030,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB181)) | (~v90(constB181, 2)))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(25031,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB181)) | (~v90(constB181, 2))),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[25030, 25029])).
% 28.42/18.96 tff(25032,plain,
% 28.42/18.96 (~v121(constB181)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[25031, 2130, 24981])).
% 28.42/18.96 tff(25033,plain,
% 28.42/18.96 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB181)) | (~v90(constB181, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB181)) | (~v90(constB181, 1)))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(25034,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB181)) | (~v90(constB181, 1)))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(25035,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB181)) | (~v90(constB181, 1))),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[25034, 25033])).
% 28.42/18.96 tff(25036,plain,
% 28.42/18.96 (~v119(constB181)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[25035, 2086, 25016])).
% 28.42/18.96 tff(25037,plain,
% 28.42/18.96 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, 2)))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(25038,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, 2)))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(25039,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, 2))),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[25038, 25037])).
% 28.42/18.96 tff(25040,plain,
% 28.42/18.96 (~v130(constB181, 2)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[25039, 2155, 25036, 25032, 25028, 25024, 25020, 24985])).
% 28.42/18.96 tff(25041,plain,
% 28.42/18.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB181, 2)) | v26(constB181) | v130(constB181, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB181, 2)) | v26(constB181) | v130(constB181, 2))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(25042,plain,
% 28.42/18.96 ((v26(constB181) | v130(constB181, 2) | (~v127(constB181, 2))) <=> ((~v127(constB181, 2)) | v26(constB181) | v130(constB181, 2))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(25043,plain,
% 28.42/18.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB181) | v130(constB181, 2) | (~v127(constB181, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB181, 2)) | v26(constB181) | v130(constB181, 2)))),
% 28.42/18.96 inference(monotonicity,[status(thm)],[25042])).
% 28.42/18.96 tff(25044,plain,
% 28.42/18.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB181) | v130(constB181, 2) | (~v127(constB181, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB181, 2)) | v26(constB181) | v130(constB181, 2))),
% 28.42/18.96 inference(transitivity,[status(thm)],[25043, 25041])).
% 28.42/18.96 tff(25045,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB181) | v130(constB181, 2) | (~v127(constB181, 2)))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(25046,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB181, 2)) | v26(constB181) | v130(constB181, 2)),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[25045, 25044])).
% 28.42/18.96 tff(25047,plain,
% 28.42/18.96 ((~v127(constB181, 2)) | v26(constB181)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[25046, 455, 25040])).
% 28.42/18.96 tff(25048,plain,
% 28.42/18.96 (~v127(constB181, 2)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[25047, 98])).
% 28.42/18.96 tff(25049,plain,
% 28.42/18.96 (nextState(constB181, constB182) <=> nextState(constB181, constB182)),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(25050,axiom,(nextState(constB181, constB182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_181_1')).
% 28.42/18.96 tff(25051,plain,
% 28.42/18.96 (nextState(constB181, constB182)),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[25050, 25049])).
% 28.42/18.96 tff(25052,plain,
% 28.42/18.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB181, constB182)) | v127(constB181, 2) | (~v129(constB182, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB181, constB182)) | v127(constB181, 2) | (~v129(constB182, 2)))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(25053,plain,
% 28.42/18.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB181, constB182)) | v127(constB181, 2) | (~v129(constB182, 2)))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(25054,plain,
% 28.42/18.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB181, constB182)) | v127(constB181, 2) | (~v129(constB182, 2))),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[25053, 25052])).
% 28.42/18.96 tff(25055,plain,
% 28.42/18.96 (v127(constB181, 2) | (~v129(constB182, 2))),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[25054, 473, 25051])).
% 28.42/18.96 tff(25056,plain,
% 28.42/18.96 (~v129(constB182, 2)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[25055, 25048])).
% 28.42/18.96 tff(25057,plain,
% 28.42/18.96 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB179)) | (~v130(constB179, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB179)) | (~v130(constB179, 0)))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(25058,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB179)) | (~v130(constB179, 0)))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(25059,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB179)) | (~v130(constB179, 0))),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[25058, 25057])).
% 28.42/18.96 tff(25060,plain,
% 28.42/18.96 (~v130(constB179, 0)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[25059, 1967, 24865])).
% 28.42/18.96 tff(25061,plain,
% 28.42/18.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB179, 0)) | v26(constB179) | v130(constB179, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB179, 0)) | v26(constB179) | v130(constB179, 0))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(25062,plain,
% 28.42/18.96 ((v26(constB179) | v130(constB179, 0) | (~v127(constB179, 0))) <=> ((~v127(constB179, 0)) | v26(constB179) | v130(constB179, 0))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(25063,plain,
% 28.42/18.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB179) | v130(constB179, 0) | (~v127(constB179, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB179, 0)) | v26(constB179) | v130(constB179, 0)))),
% 28.42/18.96 inference(monotonicity,[status(thm)],[25062])).
% 28.42/18.96 tff(25064,plain,
% 28.42/18.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB179) | v130(constB179, 0) | (~v127(constB179, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB179, 0)) | v26(constB179) | v130(constB179, 0))),
% 28.42/18.96 inference(transitivity,[status(thm)],[25063, 25061])).
% 28.42/18.96 tff(25065,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB179) | v130(constB179, 0) | (~v127(constB179, 0)))),
% 28.42/18.96 inference(quant_inst,[status(thm)],[])).
% 28.42/18.96 tff(25066,plain,
% 28.42/18.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB179, 0)) | v26(constB179) | v130(constB179, 0)),
% 28.42/18.96 inference(modus_ponens,[status(thm)],[25065, 25064])).
% 28.42/18.96 tff(25067,plain,
% 28.42/18.96 ((~v127(constB179, 0)) | v130(constB179, 0)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[25066, 933, 24880])).
% 28.42/18.96 tff(25068,plain,
% 28.42/18.96 (~v127(constB179, 0)),
% 28.42/18.96 inference(unit_resolution,[status(thm)],[25067, 25060])).
% 28.42/18.96 tff(25069,plain,
% 28.42/18.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB179, constB180)) | v127(constB179, 0) | (~v129(constB180, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB179, constB180)) | v127(constB179, 0) | (~v129(constB180, 0)))),
% 28.42/18.96 inference(rewrite,[status(thm)],[])).
% 28.42/18.96 tff(25070,plain,
% 28.42/18.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB179, constB180)) | v127(constB179, 0) | (~v129(constB180, 0)))),
% 28.42/18.97 inference(quant_inst,[status(thm)],[])).
% 28.42/18.97 tff(25071,plain,
% 28.42/18.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB179, constB180)) | v127(constB179, 0) | (~v129(constB180, 0))),
% 28.42/18.97 inference(modus_ponens,[status(thm)],[25070, 25069])).
% 28.42/18.97 tff(25072,plain,
% 28.42/18.97 (v127(constB179, 0) | (~v129(constB180, 0))),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25071, 951, 24898])).
% 28.42/18.97 tff(25073,plain,
% 28.42/18.97 (~v129(constB180, 0)),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25072, 25068])).
% 28.42/18.97 tff(25074,plain,
% 28.42/18.97 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB180, 0)) | v129(constB180, 0) | (~v100(constB180)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB180, 0)) | v129(constB180, 0) | (~v100(constB180)))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25075,plain,
% 28.42/18.97 (((~v90(constB180, 0)) | (~v100(constB180)) | v129(constB180, 0)) <=> ((~v90(constB180, 0)) | v129(constB180, 0) | (~v100(constB180)))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25076,plain,
% 28.42/18.97 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB180, 0)) | (~v100(constB180)) | v129(constB180, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB180, 0)) | v129(constB180, 0) | (~v100(constB180))))),
% 28.42/18.97 inference(monotonicity,[status(thm)],[25075])).
% 28.42/18.97 tff(25077,plain,
% 28.42/18.97 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB180, 0)) | (~v100(constB180)) | v129(constB180, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB180, 0)) | v129(constB180, 0) | (~v100(constB180)))),
% 28.42/18.97 inference(transitivity,[status(thm)],[25076, 25074])).
% 28.42/18.97 tff(25078,plain,
% 28.42/18.97 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB180, 0)) | (~v100(constB180)) | v129(constB180, 0))),
% 28.42/18.97 inference(quant_inst,[status(thm)],[])).
% 28.42/18.97 tff(25079,plain,
% 28.42/18.97 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB180, 0)) | v129(constB180, 0) | (~v100(constB180))),
% 28.42/18.97 inference(modus_ponens,[status(thm)],[25078, 25077])).
% 28.42/18.97 tff(25080,plain,
% 28.42/18.97 ((~v90(constB180, 0)) | (~v100(constB180))),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25079, 966, 25073])).
% 28.42/18.97 tff(25081,plain,
% 28.42/18.97 (~v90(constB180, 0)),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25080, 24932])).
% 28.42/18.97 tff(25082,plain,
% 28.42/18.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB180, 0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB180, 0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, 0)))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25083,plain,
% 28.42/18.97 (((~nextState(constB180, constB181)) | v90(constB180, 0) | v100(constB181) | (~v90(constB181, 0))) <=> (v90(constB180, 0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, 0)))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25084,plain,
% 28.42/18.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB180, constB181)) | v90(constB180, 0) | v100(constB181) | (~v90(constB181, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB180, 0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, 0))))),
% 28.42/18.97 inference(monotonicity,[status(thm)],[25083])).
% 28.42/18.97 tff(25085,plain,
% 28.42/18.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB180, constB181)) | v90(constB180, 0) | v100(constB181) | (~v90(constB181, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB180, 0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, 0)))),
% 28.42/18.97 inference(transitivity,[status(thm)],[25084, 25082])).
% 28.42/18.97 tff(25086,plain,
% 28.42/18.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB180, constB181)) | v90(constB180, 0) | v100(constB181) | (~v90(constB181, 0)))),
% 28.42/18.97 inference(quant_inst,[status(thm)],[])).
% 28.42/18.97 tff(25087,plain,
% 28.42/18.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB180, 0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, 0))),
% 28.42/18.97 inference(modus_ponens,[status(thm)],[25086, 25085])).
% 28.42/18.97 tff(25088,plain,
% 28.42/18.97 (v90(constB180, 0) | v100(constB181) | (~v90(constB181, 0))),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25087, 212, 24960])).
% 28.42/18.97 tff(25089,plain,
% 28.42/18.97 (v90(constB180, 0) | (~v90(constB181, 0))),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25088, 24972])).
% 28.42/18.97 tff(25090,plain,
% 28.42/18.97 (~v90(constB181, 0)),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25089, 25081])).
% 28.42/18.97 tff(25091,assumption,(~v113(constB181)), introduced(assumption)).
% 28.42/18.97 tff(25092,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB181) | (~v114(constB181)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB181) | (~v114(constB181)))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25093,plain,
% 28.42/18.97 (((~v114(constB181)) | v113(constB181)) <=> (v113(constB181) | (~v114(constB181)))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25094,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB181)) | v113(constB181))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB181) | (~v114(constB181))))),
% 28.42/18.97 inference(monotonicity,[status(thm)],[25093])).
% 28.42/18.97 tff(25095,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB181)) | v113(constB181))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB181) | (~v114(constB181)))),
% 28.42/18.97 inference(transitivity,[status(thm)],[25094, 25092])).
% 28.42/18.97 tff(25096,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB181)) | v113(constB181))),
% 28.42/18.97 inference(quant_inst,[status(thm)],[])).
% 28.42/18.97 tff(25097,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB181) | (~v114(constB181))),
% 28.42/18.97 inference(modus_ponens,[status(thm)],[25096, 25095])).
% 28.42/18.97 tff(25098,plain,
% 28.42/18.97 (~v114(constB181)),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25097, 314, 25091])).
% 28.42/18.97 tff(25099,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB181) | (~v115(constB181)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB181) | (~v115(constB181)))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25100,plain,
% 28.42/18.97 (((~v115(constB181)) | v114(constB181)) <=> (v114(constB181) | (~v115(constB181)))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25101,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB181)) | v114(constB181))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB181) | (~v115(constB181))))),
% 28.42/18.97 inference(monotonicity,[status(thm)],[25100])).
% 28.42/18.97 tff(25102,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB181)) | v114(constB181))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB181) | (~v115(constB181)))),
% 28.42/18.97 inference(transitivity,[status(thm)],[25101, 25099])).
% 28.42/18.97 tff(25103,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB181)) | v114(constB181))),
% 28.42/18.97 inference(quant_inst,[status(thm)],[])).
% 28.42/18.97 tff(25104,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB181) | (~v115(constB181))),
% 28.42/18.97 inference(modus_ponens,[status(thm)],[25103, 25102])).
% 28.42/18.97 tff(25105,plain,
% 28.42/18.97 (~v115(constB181)),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25104, 300, 25098])).
% 28.42/18.97 tff(25106,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB181)) | v115(constB181))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB181)) | v115(constB181))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25107,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB181)) | v115(constB181))),
% 28.42/18.97 inference(quant_inst,[status(thm)],[])).
% 28.42/18.97 tff(25108,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB181)) | v115(constB181)),
% 28.42/18.97 inference(modus_ponens,[status(thm)],[25107, 25106])).
% 28.42/18.97 tff(25109,plain,
% 28.42/18.97 (~v123(constB181)),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25108, 1579, 25105])).
% 28.42/18.97 tff(25110,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB181) | (~v116(constB181)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB181) | (~v116(constB181)))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25111,plain,
% 28.42/18.97 (((~v116(constB181)) | v115(constB181)) <=> (v115(constB181) | (~v116(constB181)))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25112,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB181)) | v115(constB181))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB181) | (~v116(constB181))))),
% 28.42/18.97 inference(monotonicity,[status(thm)],[25111])).
% 28.42/18.97 tff(25113,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB181)) | v115(constB181))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB181) | (~v116(constB181)))),
% 28.42/18.97 inference(transitivity,[status(thm)],[25112, 25110])).
% 28.42/18.97 tff(25114,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB181)) | v115(constB181))),
% 28.42/18.97 inference(quant_inst,[status(thm)],[])).
% 28.42/18.97 tff(25115,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB181) | (~v116(constB181))),
% 28.42/18.97 inference(modus_ponens,[status(thm)],[25114, 25113])).
% 28.42/18.97 tff(25116,plain,
% 28.42/18.97 (~v116(constB181)),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25115, 286, 25105])).
% 28.42/18.97 tff(25117,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB181)) | v116(constB181))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB181)) | v116(constB181))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25118,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB181)) | v116(constB181))),
% 28.42/18.97 inference(quant_inst,[status(thm)],[])).
% 28.42/18.97 tff(25119,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB181)) | v116(constB181)),
% 28.42/18.97 inference(modus_ponens,[status(thm)],[25118, 25117])).
% 28.42/18.97 tff(25120,plain,
% 28.42/18.97 (~v117(constB181)),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25119, 272, 25116])).
% 28.42/18.97 tff(25121,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB181) | (~v121(constB181)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB181) | (~v121(constB181)))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25122,plain,
% 28.42/18.97 (((~v121(constB181)) | v117(constB181)) <=> (v117(constB181) | (~v121(constB181)))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25123,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB181)) | v117(constB181))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB181) | (~v121(constB181))))),
% 28.42/18.97 inference(monotonicity,[status(thm)],[25122])).
% 28.42/18.97 tff(25124,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB181)) | v117(constB181))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB181) | (~v121(constB181)))),
% 28.42/18.97 inference(transitivity,[status(thm)],[25123, 25121])).
% 28.42/18.97 tff(25125,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB181)) | v117(constB181))),
% 28.42/18.97 inference(quant_inst,[status(thm)],[])).
% 28.42/18.97 tff(25126,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB181) | (~v121(constB181))),
% 28.42/18.97 inference(modus_ponens,[status(thm)],[25125, 25124])).
% 28.42/18.97 tff(25127,plain,
% 28.42/18.97 (~v121(constB181)),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25126, 1004, 25120])).
% 28.42/18.97 tff(25128,assumption,(~v90(constB181, 0)), introduced(assumption)).
% 28.42/18.97 tff(25129,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB181) | (~v118(constB181)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB181) | (~v118(constB181)))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25130,plain,
% 28.42/18.97 (((~v118(constB181)) | v117(constB181)) <=> (v117(constB181) | (~v118(constB181)))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25131,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB181)) | v117(constB181))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB181) | (~v118(constB181))))),
% 28.42/18.97 inference(monotonicity,[status(thm)],[25130])).
% 28.42/18.97 tff(25132,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB181)) | v117(constB181))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB181) | (~v118(constB181)))),
% 28.42/18.97 inference(transitivity,[status(thm)],[25131, 25129])).
% 28.42/18.97 tff(25133,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB181)) | v117(constB181))),
% 28.42/18.97 inference(quant_inst,[status(thm)],[])).
% 28.42/18.97 tff(25134,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB181) | (~v118(constB181))),
% 28.42/18.97 inference(modus_ponens,[status(thm)],[25133, 25132])).
% 28.42/18.97 tff(25135,plain,
% 28.42/18.97 (~v118(constB181)),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25134, 258, 25120])).
% 28.42/18.97 tff(25136,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB181)) | v118(constB181))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB181)) | v118(constB181))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25137,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB181)) | v118(constB181))),
% 28.42/18.97 inference(quant_inst,[status(thm)],[])).
% 28.42/18.97 tff(25138,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB181)) | v118(constB181)),
% 28.42/18.97 inference(modus_ponens,[status(thm)],[25137, 25136])).
% 28.42/18.97 tff(25139,plain,
% 28.42/18.97 (~v119(constB181)),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25138, 247, 25135])).
% 28.42/18.97 tff(25140,assumption,(~v119(constB181)), introduced(assumption)).
% 28.42/18.97 tff(25141,assumption,(~v90(constB181, 2)), introduced(assumption)).
% 28.42/18.97 tff(25142,assumption,(~v121(constB181)), introduced(assumption)).
% 28.42/18.97 tff(25143,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB181, 0) | (~v90(constB181, 1)) | v90(constB181, 2) | v121(constB181))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB181, 0) | (~v90(constB181, 1)) | v90(constB181, 2) | v121(constB181))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25144,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB181, 0) | (~v90(constB181, 1)) | v90(constB181, 2) | v121(constB181))),
% 28.42/18.97 inference(quant_inst,[status(thm)],[])).
% 28.42/18.97 tff(25145,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB181, 0) | (~v90(constB181, 1)) | v90(constB181, 2) | v121(constB181)),
% 28.42/18.97 inference(modus_ponens,[status(thm)],[25144, 25143])).
% 28.42/18.97 tff(25146,plain,
% 28.42/18.97 ((~v90(constB181, 1)) | v90(constB181, 2) | v121(constB181)),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25145, 993, 25128])).
% 28.42/18.97 tff(25147,plain,
% 28.42/18.97 (~v90(constB181, 1)),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25146, 25141, 25142])).
% 28.42/18.97 tff(25148,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB181, 0) | v90(constB181, 1) | v90(constB181, 2) | v119(constB181))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB181, 0) | v90(constB181, 1) | v90(constB181, 2) | v119(constB181))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25149,plain,
% 28.42/18.97 ((v90(constB181, 0) | v119(constB181) | v90(constB181, 1) | v90(constB181, 2)) <=> (v90(constB181, 0) | v90(constB181, 1) | v90(constB181, 2) | v119(constB181))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25150,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB181, 0) | v119(constB181) | v90(constB181, 1) | v90(constB181, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB181, 0) | v90(constB181, 1) | v90(constB181, 2) | v119(constB181)))),
% 28.42/18.97 inference(monotonicity,[status(thm)],[25149])).
% 28.42/18.97 tff(25151,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB181, 0) | v119(constB181) | v90(constB181, 1) | v90(constB181, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB181, 0) | v90(constB181, 1) | v90(constB181, 2) | v119(constB181))),
% 28.42/18.97 inference(transitivity,[status(thm)],[25150, 25148])).
% 28.42/18.97 tff(25152,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB181, 0) | v119(constB181) | v90(constB181, 1) | v90(constB181, 2))),
% 28.42/18.97 inference(quant_inst,[status(thm)],[])).
% 28.42/18.97 tff(25153,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB181, 0) | v90(constB181, 1) | v90(constB181, 2) | v119(constB181)),
% 28.42/18.97 inference(modus_ponens,[status(thm)],[25152, 25151])).
% 28.42/18.97 tff(25154,plain,
% 28.42/18.97 (v90(constB181, 1) | v90(constB181, 2) | v119(constB181)),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25153, 233, 25128])).
% 28.42/18.97 tff(25155,plain,
% 28.42/18.97 ($false),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25154, 25147, 25141, 25140])).
% 28.42/18.97 tff(25156,plain,(v90(constB181, 2) | v119(constB181) | v90(constB181, 0) | v121(constB181)), inference(lemma,lemma(discharge,[]))).
% 28.42/18.97 tff(25157,plain,
% 28.42/18.97 (v90(constB181, 2)),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25156, 25139, 25128, 25127])).
% 28.42/18.97 tff(25158,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB181)) | v113(constB181))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB181)) | v113(constB181))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25159,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB181)) | v113(constB181))),
% 28.42/18.97 inference(quant_inst,[status(thm)],[])).
% 28.42/18.97 tff(25160,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB181)) | v113(constB181)),
% 28.42/18.97 inference(modus_ponens,[status(thm)],[25159, 25158])).
% 28.42/18.97 tff(25161,plain,
% 28.42/18.97 (~v125(constB181)),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25160, 2022, 25091])).
% 28.42/18.97 tff(25162,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB181, 0) | (~v90(constB181, 1)) | (~v90(constB181, 2)) | v125(constB181))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB181, 0) | (~v90(constB181, 1)) | (~v90(constB181, 2)) | v125(constB181))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25163,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB181, 0) | (~v90(constB181, 1)) | (~v90(constB181, 2)) | v125(constB181))),
% 28.42/18.97 inference(quant_inst,[status(thm)],[])).
% 28.42/18.97 tff(25164,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB181, 0) | (~v90(constB181, 1)) | (~v90(constB181, 2)) | v125(constB181)),
% 28.42/18.97 inference(modus_ponens,[status(thm)],[25163, 25162])).
% 28.42/18.97 tff(25165,plain,
% 28.42/18.97 ((~v90(constB181, 1)) | (~v90(constB181, 2)) | v125(constB181)),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25164, 2011, 25128])).
% 28.42/18.97 tff(25166,plain,
% 28.42/18.97 (~v90(constB181, 1)),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25165, 25157, 25161])).
% 28.42/18.97 tff(25167,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB181, 0) | v90(constB181, 1) | (~v90(constB181, 2)) | v123(constB181))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB181, 0) | v90(constB181, 1) | (~v90(constB181, 2)) | v123(constB181))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25168,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB181, 0) | v90(constB181, 1) | (~v90(constB181, 2)) | v123(constB181))),
% 28.42/18.97 inference(quant_inst,[status(thm)],[])).
% 28.42/18.97 tff(25169,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB181, 0) | v90(constB181, 1) | (~v90(constB181, 2)) | v123(constB181)),
% 28.42/18.97 inference(modus_ponens,[status(thm)],[25168, 25167])).
% 28.42/18.97 tff(25170,plain,
% 28.42/18.97 (v90(constB181, 1) | (~v90(constB181, 2)) | v123(constB181)),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25169, 1565, 25128])).
% 28.42/18.97 tff(25171,plain,
% 28.42/18.97 ($false),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25170, 25166, 25157, 25109])).
% 28.42/18.97 tff(25172,plain,(v113(constB181) | v90(constB181, 0)), inference(lemma,lemma(discharge,[]))).
% 28.42/18.97 tff(25173,plain,
% 28.42/18.97 (v113(constB181)),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25172, 25090])).
% 28.42/18.97 tff(25174,assumption,(~v108(constB181)), introduced(assumption)).
% 28.42/18.97 tff(25175,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB181) | (~v112(constB181)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v112(constB181)))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25176,plain,
% 28.42/18.97 (((~v112(constB181)) | v108(constB181)) <=> (v108(constB181) | (~v112(constB181)))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25177,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB181)) | v108(constB181))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB181) | (~v112(constB181))))),
% 28.42/18.97 inference(monotonicity,[status(thm)],[25176])).
% 28.42/18.97 tff(25178,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB181)) | v108(constB181))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v112(constB181)))),
% 28.42/18.97 inference(transitivity,[status(thm)],[25177, 25175])).
% 28.42/18.97 tff(25179,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB181)) | v108(constB181))),
% 28.42/18.97 inference(quant_inst,[status(thm)],[])).
% 28.42/18.97 tff(25180,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v112(constB181))),
% 28.42/18.97 inference(modus_ponens,[status(thm)],[25179, 25178])).
% 28.42/18.97 tff(25181,plain,
% 28.42/18.97 (~v112(constB181)),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25180, 340, 25174])).
% 28.42/18.97 tff(25182,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB181) | (~v26(constB181)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v26(constB181)))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25183,plain,
% 28.42/18.97 (((~v26(constB181)) | v108(constB181)) <=> (v108(constB181) | (~v26(constB181)))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25184,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB181)) | v108(constB181))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB181) | (~v26(constB181))))),
% 28.42/18.97 inference(monotonicity,[status(thm)],[25183])).
% 28.42/18.97 tff(25185,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB181)) | v108(constB181))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v26(constB181)))),
% 28.42/18.97 inference(transitivity,[status(thm)],[25184, 25182])).
% 28.42/18.97 tff(25186,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB181)) | v108(constB181))),
% 28.42/18.97 inference(quant_inst,[status(thm)],[])).
% 28.42/18.97 tff(25187,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v26(constB181))),
% 28.42/18.97 inference(modus_ponens,[status(thm)],[25186, 25185])).
% 28.42/18.97 tff(25188,plain,
% 28.42/18.97 (~v26(constB181)),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25187, 6750, 25174])).
% 28.42/18.97 tff(25189,assumption,(v113(constB181)), introduced(assumption)).
% 28.42/18.97 tff(25190,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | v112(constB181) | (~v113(constB181)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB181) | v112(constB181) | (~v113(constB181)))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25191,plain,
% 28.42/18.97 ((v26(constB181) | (~v113(constB181)) | v112(constB181)) <=> (v26(constB181) | v112(constB181) | (~v113(constB181)))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25192,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | (~v113(constB181)) | v112(constB181))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | v112(constB181) | (~v113(constB181))))),
% 28.42/18.97 inference(monotonicity,[status(thm)],[25191])).
% 28.42/18.97 tff(25193,plain,
% 28.42/18.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | (~v113(constB181)) | v112(constB181))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB181) | v112(constB181) | (~v113(constB181)))),
% 28.42/18.97 inference(transitivity,[status(thm)],[25192, 25190])).
% 28.42/18.97 tff(25194,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | (~v113(constB181)) | v112(constB181))),
% 28.42/18.97 inference(quant_inst,[status(thm)],[])).
% 28.42/18.97 tff(25195,plain,
% 28.42/18.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB181) | v112(constB181) | (~v113(constB181))),
% 28.42/18.97 inference(modus_ponens,[status(thm)],[25194, 25193])).
% 28.42/18.97 tff(25196,plain,
% 28.42/18.97 (v26(constB181) | v112(constB181)),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25195, 328, 25189])).
% 28.42/18.97 tff(25197,plain,
% 28.42/18.97 ($false),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25196, 25188, 25181])).
% 28.42/18.97 tff(25198,plain,(v108(constB181) | (~v113(constB181))), inference(lemma,lemma(discharge,[]))).
% 28.42/18.97 tff(25199,plain,
% 28.42/18.97 (v108(constB181)),
% 28.42/18.97 inference(unit_resolution,[status(thm)],[25198, 25173])).
% 28.42/18.97 tff(25200,plain,
% 28.42/18.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 28.42/18.97 inference(rewrite,[status(thm)],[])).
% 28.42/18.97 tff(25201,plain,
% 28.42/18.97 (((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182)) <=> ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 28.45/18.97 inference(rewrite,[status(thm)],[])).
% 28.45/18.97 tff(25202,plain,
% 28.45/18.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181))))),
% 28.45/18.97 inference(monotonicity,[status(thm)],[25201])).
% 28.45/18.97 tff(25203,plain,
% 28.45/18.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 28.45/18.97 inference(transitivity,[status(thm)],[25202, 25200])).
% 28.45/18.97 tff(25204,plain,
% 28.45/18.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))),
% 28.45/18.97 inference(quant_inst,[status(thm)],[])).
% 28.45/18.97 tff(25205,plain,
% 28.45/18.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181))),
% 28.45/18.97 inference(modus_ponens,[status(thm)],[25204, 25203])).
% 28.45/18.97 tff(25206,plain,
% 28.45/18.97 (v110(constB182) | (~v108(constB181))),
% 28.45/18.97 inference(unit_resolution,[status(thm)],[25205, 360, 25051])).
% 28.45/18.97 tff(25207,plain,
% 28.45/18.97 (v110(constB182)),
% 28.45/18.97 inference(unit_resolution,[status(thm)],[25206, 25199])).
% 28.45/18.97 tff(25208,plain,
% 28.45/18.97 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))),
% 28.45/18.97 inference(rewrite,[status(thm)],[])).
% 28.45/18.97 tff(25209,plain,
% 28.45/18.97 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))),
% 28.45/18.97 inference(quant_inst,[status(thm)],[])).
% 28.45/18.97 tff(25210,plain,
% 28.45/18.97 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182))),
% 28.45/18.97 inference(modus_ponens,[status(thm)],[25209, 25208])).
% 28.45/18.97 tff(25211,plain,
% 28.45/18.97 (~v104(constB182)),
% 28.45/18.97 inference(unit_resolution,[status(thm)],[25210, 378, 25051, 24957])).
% 28.45/18.97 tff(25212,plain,
% 28.45/18.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))),
% 28.45/18.97 inference(rewrite,[status(thm)],[])).
% 28.45/18.97 tff(25213,plain,
% 28.45/18.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))),
% 28.45/18.97 inference(quant_inst,[status(thm)],[])).
% 28.45/18.97 tff(25214,plain,
% 28.45/18.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB181, constB182)) | v102(constB182) | v104(constB182)),
% 28.45/18.97 inference(modus_ponens,[status(thm)],[25213, 25212])).
% 28.45/18.97 tff(25215,plain,
% 28.45/18.97 (v102(constB182) | v104(constB182)),
% 28.45/18.97 inference(unit_resolution,[status(thm)],[25214, 392, 25051])).
% 28.45/18.97 tff(25216,plain,
% 28.45/18.97 (v102(constB182)),
% 28.45/18.97 inference(unit_resolution,[status(thm)],[25215, 25211])).
% 28.45/18.97 tff(25217,plain,
% 28.45/18.97 (v1(constB182) <=> v1(constB182)),
% 28.45/18.97 inference(rewrite,[status(thm)],[])).
% 28.45/18.97 tff(25218,axiom,(v1(constB182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_182_1')).
% 28.45/18.97 tff(25219,plain,
% 28.45/18.97 (v1(constB182)),
% 28.45/18.97 inference(modus_ponens,[status(thm)],[25218, 25217])).
% 28.45/18.97 tff(25220,plain,
% 28.45/18.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))),
% 28.45/18.97 inference(rewrite,[status(thm)],[])).
% 28.45/18.97 tff(25221,plain,
% 28.45/18.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))),
% 28.45/18.97 inference(quant_inst,[status(thm)],[])).
% 28.45/18.97 tff(25222,plain,
% 28.45/18.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182))),
% 28.45/18.97 inference(modus_ponens,[status(thm)],[25221, 25220])).
% 28.45/18.97 tff(25223,plain,
% 28.45/18.97 (v101(constB182) | (~v102(constB182))),
% 28.45/18.97 inference(unit_resolution,[status(thm)],[25222, 410, 25051, 25219])).
% 28.45/18.97 tff(25224,plain,
% 28.45/18.97 (v101(constB182)),
% 28.45/18.97 inference(unit_resolution,[status(thm)],[25223, 25216])).
% 28.45/18.97 tff(25225,plain,
% 28.45/18.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 28.45/18.97 inference(rewrite,[status(thm)],[])).
% 28.45/18.97 tff(25226,plain,
% 28.45/18.97 (((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182)) <=> ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 28.45/18.97 inference(rewrite,[status(thm)],[])).
% 28.45/18.97 tff(25227,plain,
% 28.45/18.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182))))),
% 28.45/18.97 inference(monotonicity,[status(thm)],[25226])).
% 28.45/18.97 tff(25228,plain,
% 28.45/18.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 28.45/18.97 inference(transitivity,[status(thm)],[25227, 25225])).
% 28.45/18.97 tff(25229,plain,
% 28.45/18.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))),
% 28.45/18.97 inference(quant_inst,[status(thm)],[])).
% 28.45/18.97 tff(25230,plain,
% 28.45/18.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182))),
% 28.45/18.97 inference(modus_ponens,[status(thm)],[25229, 25228])).
% 28.45/18.97 tff(25231,plain,
% 28.45/18.97 (v100(constB182) | (~v101(constB182)) | (~v110(constB182))),
% 28.45/18.97 inference(unit_resolution,[status(thm)],[25230, 425, 25051])).
% 28.45/18.97 tff(25232,plain,
% 28.45/18.97 (v100(constB182) | (~v110(constB182))),
% 28.45/18.97 inference(unit_resolution,[status(thm)],[25231, 25224])).
% 28.45/18.97 tff(25233,plain,
% 28.45/18.97 (v100(constB182)),
% 28.45/18.97 inference(unit_resolution,[status(thm)],[25232, 25207])).
% 28.45/18.97 tff(25234,plain,
% 28.45/18.97 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB182, 2)) | v129(constB182, 2) | (~v100(constB182)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB182, 2)) | v129(constB182, 2) | (~v100(constB182)))),
% 28.45/18.97 inference(rewrite,[status(thm)],[])).
% 28.45/18.97 tff(25235,plain,
% 28.45/18.97 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB182, 2)) | v129(constB182, 2) | (~v100(constB182)))),
% 28.45/18.97 inference(quant_inst,[status(thm)],[])).
% 28.45/18.97 tff(25236,plain,
% 28.45/18.97 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB182, 2)) | v129(constB182, 2) | (~v100(constB182))),
% 28.45/18.97 inference(modus_ponens,[status(thm)],[25235, 25234])).
% 28.45/18.97 tff(25237,plain,
% 28.45/18.97 ((~v90(constB182, 2)) | v129(constB182, 2)),
% 28.45/18.97 inference(unit_resolution,[status(thm)],[25236, 488, 25233])).
% 28.45/18.97 tff(25238,plain,
% 28.45/18.97 (~v90(constB182, 2)),
% 28.45/18.97 inference(unit_resolution,[status(thm)],[25237, 25056])).
% 28.45/18.97 tff(25239,plain,
% 28.45/18.97 ((~v1(constB183)) <=> (~v1(constB183))),
% 28.45/18.97 inference(rewrite,[status(thm)],[])).
% 28.45/18.97 tff(25240,axiom,(~v1(constB183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_183_1_1')).
% 28.45/18.97 tff(25241,plain,
% 28.45/18.97 (~v1(constB183)),
% 28.45/18.97 inference(modus_ponens,[status(thm)],[25240, 25239])).
% 28.45/18.97 tff(25242,plain,
% 28.45/18.97 (nextState(constB182, constB183) <=> nextState(constB182, constB183)),
% 28.45/18.97 inference(rewrite,[status(thm)],[])).
% 28.45/18.97 tff(25243,axiom,(nextState(constB182, constB183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_182_1')).
% 28.45/18.97 tff(25244,plain,
% 28.45/18.97 (nextState(constB182, constB183)),
% 28.45/18.97 inference(modus_ponens,[status(thm)],[25243, 25242])).
% 28.45/18.97 tff(25245,plain,
% 28.45/18.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 28.45/18.97 inference(rewrite,[status(thm)],[])).
% 28.45/18.97 tff(25246,plain,
% 28.45/18.97 (((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183)) <=> (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 28.45/18.97 inference(rewrite,[status(thm)],[])).
% 28.45/18.97 tff(25247,plain,
% 28.45/18.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183))))),
% 28.45/18.97 inference(monotonicity,[status(thm)],[25246])).
% 28.45/18.97 tff(25248,plain,
% 28.45/18.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 28.45/18.97 inference(transitivity,[status(thm)],[25247, 25245])).
% 28.45/18.97 tff(25249,plain,
% 28.45/18.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))),
% 28.45/18.97 inference(quant_inst,[status(thm)],[])).
% 28.45/18.97 tff(25250,plain,
% 28.45/18.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183))),
% 28.45/18.97 inference(modus_ponens,[status(thm)],[25249, 25248])).
% 28.45/18.97 tff(25251,plain,
% 28.45/18.97 (~v101(constB183)),
% 28.45/18.97 inference(unit_resolution,[status(thm)],[25250, 138, 25244, 25241])).
% 28.45/18.97 tff(25252,plain,
% 28.45/18.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))),
% 28.45/18.97 inference(rewrite,[status(thm)],[])).
% 28.45/18.97 tff(25253,plain,
% 28.45/18.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))),
% 28.45/18.97 inference(quant_inst,[status(thm)],[])).
% 28.45/18.97 tff(25254,plain,
% 28.45/18.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183))),
% 28.45/18.97 inference(modus_ponens,[status(thm)],[25253, 25252])).
% 28.45/18.97 tff(25255,plain,
% 28.45/18.97 (v101(constB183) | (~v100(constB183))),
% 28.45/18.97 inference(unit_resolution,[status(thm)],[25254, 155, 25244])).
% 28.45/18.97 tff(25256,plain,
% 28.45/18.97 (~v100(constB183)),
% 28.45/18.97 inference(unit_resolution,[status(thm)],[25255, 25251])).
% 28.45/18.97 tff(25257,plain,
% 28.45/18.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB182, 2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB182, 2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 2)))),
% 28.45/18.97 inference(rewrite,[status(thm)],[])).
% 28.45/18.97 tff(25258,plain,
% 28.45/18.97 (((~nextState(constB182, constB183)) | v90(constB182, 2) | v100(constB183) | (~v90(constB183, 2))) <=> (v90(constB182, 2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 2)))),
% 28.45/18.97 inference(rewrite,[status(thm)],[])).
% 28.45/18.97 tff(25259,plain,
% 28.45/18.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB182, constB183)) | v90(constB182, 2) | v100(constB183) | (~v90(constB183, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB182, 2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 2))))),
% 28.45/18.97 inference(monotonicity,[status(thm)],[25258])).
% 28.45/18.97 tff(25260,plain,
% 28.45/18.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB182, constB183)) | v90(constB182, 2) | v100(constB183) | (~v90(constB183, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB182, 2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 2)))),
% 28.45/18.97 inference(transitivity,[status(thm)],[25259, 25257])).
% 28.45/18.97 tff(25261,plain,
% 28.45/18.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB182, constB183)) | v90(constB182, 2) | v100(constB183) | (~v90(constB183, 2)))),
% 28.45/18.97 inference(quant_inst,[status(thm)],[])).
% 28.45/18.97 tff(25262,plain,
% 28.45/18.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB182, 2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 2))),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25261, 25260])).
% 28.45/18.98 tff(25263,plain,
% 28.45/18.98 (v90(constB182, 2) | v100(constB183) | (~v90(constB183, 2))),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25262, 170, 25244])).
% 28.45/18.98 tff(25264,plain,
% 28.45/18.98 (v90(constB182, 2) | (~v90(constB183, 2))),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25263, 25256])).
% 28.45/18.98 tff(25265,plain,
% 28.45/18.98 (~v90(constB183, 2)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25264, 25238])).
% 28.45/18.98 tff(25266,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, 1)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25267,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, 1)))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25268,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, 1))),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25267, 25266])).
% 28.45/18.98 tff(25269,plain,
% 28.45/18.98 (~v130(constB181, 1)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25268, 2214, 25036, 25032, 25028, 25024, 25020, 24985])).
% 28.45/18.98 tff(25270,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB181, 1)) | v26(constB181) | v130(constB181, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB181, 1)) | v26(constB181) | v130(constB181, 1))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25271,plain,
% 28.45/18.98 ((v26(constB181) | v130(constB181, 1) | (~v127(constB181, 1))) <=> ((~v127(constB181, 1)) | v26(constB181) | v130(constB181, 1))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25272,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB181) | v130(constB181, 1) | (~v127(constB181, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB181, 1)) | v26(constB181) | v130(constB181, 1)))),
% 28.45/18.98 inference(monotonicity,[status(thm)],[25271])).
% 28.45/18.98 tff(25273,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB181) | v130(constB181, 1) | (~v127(constB181, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB181, 1)) | v26(constB181) | v130(constB181, 1))),
% 28.45/18.98 inference(transitivity,[status(thm)],[25272, 25270])).
% 28.45/18.98 tff(25274,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB181) | v130(constB181, 1) | (~v127(constB181, 1)))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25275,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB181, 1)) | v26(constB181) | v130(constB181, 1)),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25274, 25273])).
% 28.45/18.98 tff(25276,plain,
% 28.45/18.98 ((~v127(constB181, 1)) | v26(constB181)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25275, 541, 25269])).
% 28.45/18.98 tff(25277,plain,
% 28.45/18.98 (~v127(constB181, 1)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25276, 98])).
% 28.45/18.98 tff(25278,plain,
% 28.45/18.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB181, constB182)) | v127(constB181, 1) | (~v129(constB182, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB181, constB182)) | v127(constB181, 1) | (~v129(constB182, 1)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25279,plain,
% 28.45/18.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB181, constB182)) | v127(constB181, 1) | (~v129(constB182, 1)))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25280,plain,
% 28.45/18.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB181, constB182)) | v127(constB181, 1) | (~v129(constB182, 1))),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25279, 25278])).
% 28.45/18.98 tff(25281,plain,
% 28.45/18.98 (v127(constB181, 1) | (~v129(constB182, 1))),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25280, 559, 25051])).
% 28.45/18.98 tff(25282,plain,
% 28.45/18.98 (~v129(constB182, 1)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25281, 25277])).
% 28.45/18.98 tff(25283,plain,
% 28.45/18.98 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB182, 1)) | v129(constB182, 1) | (~v100(constB182)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB182, 1)) | v129(constB182, 1) | (~v100(constB182)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25284,plain,
% 28.45/18.98 (((~v90(constB182, 1)) | (~v100(constB182)) | v129(constB182, 1)) <=> ((~v90(constB182, 1)) | v129(constB182, 1) | (~v100(constB182)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25285,plain,
% 28.45/18.98 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB182, 1)) | (~v100(constB182)) | v129(constB182, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB182, 1)) | v129(constB182, 1) | (~v100(constB182))))),
% 28.45/18.98 inference(monotonicity,[status(thm)],[25284])).
% 28.45/18.98 tff(25286,plain,
% 28.45/18.98 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB182, 1)) | (~v100(constB182)) | v129(constB182, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB182, 1)) | v129(constB182, 1) | (~v100(constB182)))),
% 28.45/18.98 inference(transitivity,[status(thm)],[25285, 25283])).
% 28.45/18.98 tff(25287,plain,
% 28.45/18.98 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB182, 1)) | (~v100(constB182)) | v129(constB182, 1))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25288,plain,
% 28.45/18.98 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB182, 1)) | v129(constB182, 1) | (~v100(constB182))),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25287, 25286])).
% 28.45/18.98 tff(25289,plain,
% 28.45/18.98 ((~v90(constB182, 1)) | v129(constB182, 1)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25288, 574, 25233])).
% 28.45/18.98 tff(25290,plain,
% 28.45/18.98 (~v90(constB182, 1)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25289, 25282])).
% 28.45/18.98 tff(25291,plain,
% 28.45/18.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB182, 1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB182, 1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 1)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25292,plain,
% 28.45/18.98 (((~nextState(constB182, constB183)) | v90(constB182, 1) | v100(constB183) | (~v90(constB183, 1))) <=> (v90(constB182, 1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 1)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25293,plain,
% 28.45/18.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB182, constB183)) | v90(constB182, 1) | v100(constB183) | (~v90(constB183, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB182, 1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 1))))),
% 28.45/18.98 inference(monotonicity,[status(thm)],[25292])).
% 28.45/18.98 tff(25294,plain,
% 28.45/18.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB182, constB183)) | v90(constB182, 1) | v100(constB183) | (~v90(constB183, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB182, 1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 1)))),
% 28.45/18.98 inference(transitivity,[status(thm)],[25293, 25291])).
% 28.45/18.98 tff(25295,plain,
% 28.45/18.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB182, constB183)) | v90(constB182, 1) | v100(constB183) | (~v90(constB183, 1)))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25296,plain,
% 28.45/18.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB182, 1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 1))),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25295, 25294])).
% 28.45/18.98 tff(25297,plain,
% 28.45/18.98 (v90(constB182, 1) | v100(constB183) | (~v90(constB183, 1))),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25296, 191, 25244])).
% 28.45/18.98 tff(25298,plain,
% 28.45/18.98 (v90(constB182, 1) | (~v90(constB183, 1))),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25297, 25256])).
% 28.45/18.98 tff(25299,plain,
% 28.45/18.98 (~v90(constB183, 1)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25298, 25290])).
% 28.45/18.98 tff(25300,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, 0))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25301,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, 0))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25302,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, 0)),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25301, 25300])).
% 28.45/18.98 tff(25303,plain,
% 28.45/18.98 (v130(constB181, 0)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25302, 2258, 25036, 25032, 25028, 25024, 25020, 24985])).
% 28.45/18.98 tff(25304,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB181) | (~v130(constB181, 0)) | v127(constB181, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB181) | (~v130(constB181, 0)) | v127(constB181, 0))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25305,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB181) | (~v130(constB181, 0)) | v127(constB181, 0))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25306,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB181) | (~v130(constB181, 0)) | v127(constB181, 0)),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25305, 25304])).
% 28.45/18.98 tff(25307,plain,
% 28.45/18.98 (v26(constB181) | v127(constB181, 0)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25306, 612, 25303])).
% 28.45/18.98 tff(25308,plain,
% 28.45/18.98 (v127(constB181, 0)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25307, 98])).
% 28.45/18.98 tff(25309,plain,
% 28.45/18.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB181, constB182)) | (~v127(constB181, 0)) | v129(constB182, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB181, constB182)) | (~v127(constB181, 0)) | v129(constB182, 0))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25310,plain,
% 28.45/18.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB181, constB182)) | (~v127(constB181, 0)) | v129(constB182, 0))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25311,plain,
% 28.45/18.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB181, constB182)) | (~v127(constB181, 0)) | v129(constB182, 0)),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25310, 25309])).
% 28.45/18.98 tff(25312,plain,
% 28.45/18.98 ((~v127(constB181, 0)) | v129(constB182, 0)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25311, 627, 25051])).
% 28.45/18.98 tff(25313,plain,
% 28.45/18.98 (v129(constB182, 0)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25312, 25308])).
% 28.45/18.98 tff(25314,plain,
% 28.45/18.98 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB182, 0) | (~v129(constB182, 0)) | (~v100(constB182)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB182, 0) | (~v129(constB182, 0)) | (~v100(constB182)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25315,plain,
% 28.45/18.98 ((v90(constB182, 0) | (~v100(constB182)) | (~v129(constB182, 0))) <=> (v90(constB182, 0) | (~v129(constB182, 0)) | (~v100(constB182)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25316,plain,
% 28.45/18.98 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB182, 0) | (~v100(constB182)) | (~v129(constB182, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB182, 0) | (~v129(constB182, 0)) | (~v100(constB182))))),
% 28.45/18.98 inference(monotonicity,[status(thm)],[25315])).
% 28.45/18.98 tff(25317,plain,
% 28.45/18.98 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB182, 0) | (~v100(constB182)) | (~v129(constB182, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB182, 0) | (~v129(constB182, 0)) | (~v100(constB182)))),
% 28.45/18.98 inference(transitivity,[status(thm)],[25316, 25314])).
% 28.45/18.98 tff(25318,plain,
% 28.45/18.98 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB182, 0) | (~v100(constB182)) | (~v129(constB182, 0)))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25319,plain,
% 28.45/18.98 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB182, 0) | (~v129(constB182, 0)) | (~v100(constB182))),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25318, 25317])).
% 28.45/18.98 tff(25320,plain,
% 28.45/18.98 (v90(constB182, 0) | (~v129(constB182, 0))),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25319, 642, 25233])).
% 28.45/18.98 tff(25321,plain,
% 28.45/18.98 (v90(constB182, 0)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25320, 25313])).
% 28.45/18.98 tff(25322,plain,
% 28.45/18.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB182, 0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB182, 0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, 0))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25323,plain,
% 28.45/18.98 (((~nextState(constB182, constB183)) | (~v90(constB182, 0)) | v100(constB183) | v90(constB183, 0)) <=> ((~v90(constB182, 0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, 0))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25324,plain,
% 28.45/18.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB182, constB183)) | (~v90(constB182, 0)) | v100(constB183) | v90(constB183, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB182, 0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, 0)))),
% 28.45/18.98 inference(monotonicity,[status(thm)],[25323])).
% 28.45/18.98 tff(25325,plain,
% 28.45/18.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB182, constB183)) | (~v90(constB182, 0)) | v100(constB183) | v90(constB183, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB182, 0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, 0))),
% 28.45/18.98 inference(transitivity,[status(thm)],[25324, 25322])).
% 28.45/18.98 tff(25326,plain,
% 28.45/18.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB182, constB183)) | (~v90(constB182, 0)) | v100(constB183) | v90(constB183, 0))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25327,plain,
% 28.45/18.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB182, 0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, 0)),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25326, 25325])).
% 28.45/18.98 tff(25328,plain,
% 28.45/18.98 ((~v90(constB182, 0)) | v100(constB183) | v90(constB183, 0)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25327, 660, 25244])).
% 28.45/18.98 tff(25329,plain,
% 28.45/18.98 ((~v90(constB182, 0)) | v90(constB183, 0)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25328, 25256])).
% 28.45/18.98 tff(25330,plain,
% 28.45/18.98 (v90(constB183, 0)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25329, 25321])).
% 28.45/18.98 tff(25331,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB183, 0)) | v90(constB183, 1) | v90(constB183, 2) | v120(constB183))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB183, 0)) | v90(constB183, 1) | v90(constB183, 2) | v120(constB183))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25332,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB183, 0)) | v90(constB183, 1) | v90(constB183, 2) | v120(constB183))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25333,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB183, 0)) | v90(constB183, 1) | v90(constB183, 2) | v120(constB183)),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25332, 25331])).
% 28.45/18.98 tff(25334,plain,
% 28.45/18.98 (v120(constB183)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25333, 679, 25330, 25299, 25265])).
% 28.45/18.98 tff(25335,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB183)) | (~v130(constB183, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB183)) | (~v130(constB183, 2)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25336,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB183)) | (~v130(constB183, 2)))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25337,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB183)) | (~v130(constB183, 2))),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25336, 25335])).
% 28.45/18.98 tff(25338,plain,
% 28.45/18.98 (~v130(constB183, 2)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25337, 785, 25334])).
% 28.45/18.98 tff(25339,assumption,(v26(constB183)), introduced(assumption)).
% 28.45/18.98 tff(25340,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB183))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25341,plain,
% 28.45/18.98 ($false),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25340, 95, 25339])).
% 28.45/18.98 tff(25342,plain,(~v26(constB183)), inference(lemma,lemma(discharge,[]))).
% 28.45/18.98 tff(25343,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB183, 2)) | v26(constB183) | v130(constB183, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB183, 2)) | v26(constB183) | v130(constB183, 2))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25344,plain,
% 28.45/18.98 ((v26(constB183) | v130(constB183, 2) | (~v127(constB183, 2))) <=> ((~v127(constB183, 2)) | v26(constB183) | v130(constB183, 2))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25345,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB183) | v130(constB183, 2) | (~v127(constB183, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB183, 2)) | v26(constB183) | v130(constB183, 2)))),
% 28.45/18.98 inference(monotonicity,[status(thm)],[25344])).
% 28.45/18.98 tff(25346,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB183) | v130(constB183, 2) | (~v127(constB183, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB183, 2)) | v26(constB183) | v130(constB183, 2))),
% 28.45/18.98 inference(transitivity,[status(thm)],[25345, 25343])).
% 28.45/18.98 tff(25347,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB183) | v130(constB183, 2) | (~v127(constB183, 2)))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25348,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB183, 2)) | v26(constB183) | v130(constB183, 2)),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25347, 25346])).
% 28.45/18.98 tff(25349,plain,
% 28.45/18.98 ((~v127(constB183, 2)) | v130(constB183, 2)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25348, 455, 25342])).
% 28.45/18.98 tff(25350,plain,
% 28.45/18.98 (~v127(constB183, 2)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25349, 25338])).
% 28.45/18.98 tff(25351,plain,
% 28.45/18.98 (nextState(constB183, constB184) <=> nextState(constB183, constB184)),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25352,axiom,(nextState(constB183, constB184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_183_1')).
% 28.45/18.98 tff(25353,plain,
% 28.45/18.98 (nextState(constB183, constB184)),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25352, 25351])).
% 28.45/18.98 tff(25354,plain,
% 28.45/18.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB183, constB184)) | v127(constB183, 2) | (~v129(constB184, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB183, constB184)) | v127(constB183, 2) | (~v129(constB184, 2)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25355,plain,
% 28.45/18.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB183, constB184)) | v127(constB183, 2) | (~v129(constB184, 2)))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25356,plain,
% 28.45/18.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB183, constB184)) | v127(constB183, 2) | (~v129(constB184, 2))),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25355, 25354])).
% 28.45/18.98 tff(25357,plain,
% 28.45/18.98 (v127(constB183, 2) | (~v129(constB184, 2))),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25356, 473, 25353])).
% 28.45/18.98 tff(25358,plain,
% 28.45/18.98 (~v129(constB184, 2)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25357, 25350])).
% 28.45/18.98 tff(25359,assumption,(~v100(constB184)), introduced(assumption)).
% 28.45/18.98 tff(25360,plain,
% 28.45/18.98 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25361,plain,
% 28.45/18.98 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25362,plain,
% 28.45/18.98 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184))),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25361, 25360])).
% 28.45/18.98 tff(25363,plain,
% 28.45/18.98 (~v104(constB184)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25362, 378, 25353, 25241])).
% 28.45/18.98 tff(25364,plain,
% 28.45/18.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25365,plain,
% 28.45/18.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25366,plain,
% 28.45/18.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB183, constB184)) | v102(constB184) | v104(constB184)),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25365, 25364])).
% 28.45/18.98 tff(25367,plain,
% 28.45/18.98 (v102(constB184) | v104(constB184)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25366, 392, 25353])).
% 28.45/18.98 tff(25368,plain,
% 28.45/18.98 (v102(constB184)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25367, 25363])).
% 28.45/18.98 tff(25369,plain,
% 28.45/18.98 (v1(constB184) <=> v1(constB184)),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25370,axiom,(v1(constB184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_184_1')).
% 28.45/18.98 tff(25371,plain,
% 28.45/18.98 (v1(constB184)),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25370, 25369])).
% 28.45/18.98 tff(25372,plain,
% 28.45/18.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25373,plain,
% 28.45/18.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25374,plain,
% 28.45/18.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184))),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25373, 25372])).
% 28.45/18.98 tff(25375,plain,
% 28.45/18.98 (v101(constB184) | (~v102(constB184))),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25374, 410, 25353, 25371])).
% 28.45/18.98 tff(25376,plain,
% 28.45/18.98 (v101(constB184)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25375, 25368])).
% 28.45/18.98 tff(25377,plain,
% 28.45/18.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25378,plain,
% 28.45/18.98 (((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184)) <=> ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25379,plain,
% 28.45/18.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184))))),
% 28.45/18.98 inference(monotonicity,[status(thm)],[25378])).
% 28.45/18.98 tff(25380,plain,
% 28.45/18.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 28.45/18.98 inference(transitivity,[status(thm)],[25379, 25377])).
% 28.45/18.98 tff(25381,plain,
% 28.45/18.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25382,plain,
% 28.45/18.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184))),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25381, 25380])).
% 28.45/18.98 tff(25383,plain,
% 28.45/18.98 (v100(constB184) | (~v101(constB184)) | (~v110(constB184))),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25382, 425, 25353])).
% 28.45/18.98 tff(25384,plain,
% 28.45/18.98 (v100(constB184) | (~v110(constB184))),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25383, 25376])).
% 28.45/18.98 tff(25385,plain,
% 28.45/18.98 (~v110(constB184)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25384, 25359])).
% 28.45/18.98 tff(25386,plain,
% 28.45/18.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25387,plain,
% 28.45/18.98 (((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184)) <=> ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25388,plain,
% 28.45/18.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183))))),
% 28.45/18.98 inference(monotonicity,[status(thm)],[25387])).
% 28.45/18.98 tff(25389,plain,
% 28.45/18.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 28.45/18.98 inference(transitivity,[status(thm)],[25388, 25386])).
% 28.45/18.98 tff(25390,plain,
% 28.45/18.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25391,plain,
% 28.45/18.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183))),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25390, 25389])).
% 28.45/18.98 tff(25392,plain,
% 28.45/18.98 (v110(constB184) | (~v108(constB183))),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25391, 360, 25353])).
% 28.45/18.98 tff(25393,plain,
% 28.45/18.98 (~v108(constB183)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25392, 25385])).
% 28.45/18.98 tff(25394,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB183) | (~v112(constB183)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB183) | (~v112(constB183)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25395,plain,
% 28.45/18.98 (((~v112(constB183)) | v108(constB183)) <=> (v108(constB183) | (~v112(constB183)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25396,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB183)) | v108(constB183))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB183) | (~v112(constB183))))),
% 28.45/18.98 inference(monotonicity,[status(thm)],[25395])).
% 28.45/18.98 tff(25397,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB183)) | v108(constB183))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB183) | (~v112(constB183)))),
% 28.45/18.98 inference(transitivity,[status(thm)],[25396, 25394])).
% 28.45/18.98 tff(25398,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB183)) | v108(constB183))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25399,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB183) | (~v112(constB183))),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25398, 25397])).
% 28.45/18.98 tff(25400,plain,
% 28.45/18.98 (~v112(constB183)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25399, 340, 25393])).
% 28.45/18.98 tff(25401,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | (~v113(constB183)) | v112(constB183))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB183) | (~v113(constB183)) | v112(constB183))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25402,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | (~v113(constB183)) | v112(constB183))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25403,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB183) | (~v113(constB183)) | v112(constB183)),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25402, 25401])).
% 28.45/18.98 tff(25404,plain,
% 28.45/18.98 ((~v113(constB183)) | v112(constB183)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25403, 328, 25342])).
% 28.45/18.98 tff(25405,plain,
% 28.45/18.98 (~v113(constB183)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25404, 25400])).
% 28.45/18.98 tff(25406,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB183) | (~v114(constB183)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB183) | (~v114(constB183)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25407,plain,
% 28.45/18.98 (((~v114(constB183)) | v113(constB183)) <=> (v113(constB183) | (~v114(constB183)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25408,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB183)) | v113(constB183))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB183) | (~v114(constB183))))),
% 28.45/18.98 inference(monotonicity,[status(thm)],[25407])).
% 28.45/18.98 tff(25409,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB183)) | v113(constB183))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB183) | (~v114(constB183)))),
% 28.45/18.98 inference(transitivity,[status(thm)],[25408, 25406])).
% 28.45/18.98 tff(25410,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB183)) | v113(constB183))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25411,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB183) | (~v114(constB183))),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25410, 25409])).
% 28.45/18.98 tff(25412,plain,
% 28.45/18.98 (~v114(constB183)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25411, 314, 25405])).
% 28.45/18.98 tff(25413,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB183) | (~v115(constB183)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB183) | (~v115(constB183)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25414,plain,
% 28.45/18.98 (((~v115(constB183)) | v114(constB183)) <=> (v114(constB183) | (~v115(constB183)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25415,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB183)) | v114(constB183))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB183) | (~v115(constB183))))),
% 28.45/18.98 inference(monotonicity,[status(thm)],[25414])).
% 28.45/18.98 tff(25416,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB183)) | v114(constB183))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB183) | (~v115(constB183)))),
% 28.45/18.98 inference(transitivity,[status(thm)],[25415, 25413])).
% 28.45/18.98 tff(25417,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB183)) | v114(constB183))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25418,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB183) | (~v115(constB183))),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25417, 25416])).
% 28.45/18.98 tff(25419,plain,
% 28.45/18.98 (~v115(constB183)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25418, 300, 25412])).
% 28.45/18.98 tff(25420,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB183)) | v115(constB183))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB183)) | v115(constB183))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25421,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB183)) | v115(constB183))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25422,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB183)) | v115(constB183)),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25421, 25420])).
% 28.45/18.98 tff(25423,plain,
% 28.45/18.98 (~v116(constB183)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25422, 286, 25419])).
% 28.45/18.98 tff(25424,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB183) | (~v117(constB183)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB183) | (~v117(constB183)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25425,plain,
% 28.45/18.98 (((~v117(constB183)) | v116(constB183)) <=> (v116(constB183) | (~v117(constB183)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25426,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB183)) | v116(constB183))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB183) | (~v117(constB183))))),
% 28.45/18.98 inference(monotonicity,[status(thm)],[25425])).
% 28.45/18.98 tff(25427,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB183)) | v116(constB183))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB183) | (~v117(constB183)))),
% 28.45/18.98 inference(transitivity,[status(thm)],[25426, 25424])).
% 28.45/18.98 tff(25428,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB183)) | v116(constB183))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25429,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB183) | (~v117(constB183))),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25428, 25427])).
% 28.45/18.98 tff(25430,plain,
% 28.45/18.98 (~v117(constB183)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25429, 272, 25423])).
% 28.45/18.98 tff(25431,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB183)) | v117(constB183))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB183)) | v117(constB183))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25432,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB183)) | v117(constB183))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25433,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB183)) | v117(constB183)),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25432, 25431])).
% 28.45/18.98 tff(25434,plain,
% 28.45/18.98 (~v121(constB183)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25433, 1004, 25430])).
% 28.45/18.98 tff(25435,assumption,(~v90(constB183, 2)), introduced(assumption)).
% 28.45/18.98 tff(25436,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB183) | (~v118(constB183)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB183) | (~v118(constB183)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25437,plain,
% 28.45/18.98 (((~v118(constB183)) | v117(constB183)) <=> (v117(constB183) | (~v118(constB183)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25438,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB183)) | v117(constB183))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB183) | (~v118(constB183))))),
% 28.45/18.98 inference(monotonicity,[status(thm)],[25437])).
% 28.45/18.98 tff(25439,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB183)) | v117(constB183))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB183) | (~v118(constB183)))),
% 28.45/18.98 inference(transitivity,[status(thm)],[25438, 25436])).
% 28.45/18.98 tff(25440,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB183)) | v117(constB183))),
% 28.45/18.98 inference(quant_inst,[status(thm)],[])).
% 28.45/18.98 tff(25441,plain,
% 28.45/18.98 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB183) | (~v118(constB183))),
% 28.45/18.98 inference(modus_ponens,[status(thm)],[25440, 25439])).
% 28.45/18.98 tff(25442,plain,
% 28.45/18.98 (~v118(constB183)),
% 28.45/18.98 inference(unit_resolution,[status(thm)],[25441, 258, 25430])).
% 28.45/18.98 tff(25443,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB183) | (~v120(constB183)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB183) | (~v120(constB183)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25444,plain,
% 28.45/18.98 (((~v120(constB183)) | v118(constB183)) <=> (v118(constB183) | (~v120(constB183)))),
% 28.45/18.98 inference(rewrite,[status(thm)],[])).
% 28.45/18.98 tff(25445,plain,
% 28.45/18.98 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB183)) | v118(constB183))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB183) | (~v120(constB183))))),
% 28.45/18.99 inference(monotonicity,[status(thm)],[25444])).
% 28.45/18.99 tff(25446,plain,
% 28.45/18.99 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB183)) | v118(constB183))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB183) | (~v120(constB183)))),
% 28.45/18.99 inference(transitivity,[status(thm)],[25445, 25443])).
% 28.45/18.99 tff(25447,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB183)) | v118(constB183))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25448,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB183) | (~v120(constB183))),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25447, 25446])).
% 28.45/18.99 tff(25449,plain,
% 28.45/18.99 (~v120(constB183)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25448, 690, 25442])).
% 28.45/18.99 tff(25450,assumption,(~v90(constB184, 1)), introduced(assumption)).
% 28.45/18.99 tff(25451,plain,
% 28.45/18.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB183, 1)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB183, 1)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 1))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25452,plain,
% 28.45/18.99 (((~nextState(constB183, constB184)) | (~v90(constB183, 1)) | v100(constB184) | v90(constB184, 1)) <=> ((~v90(constB183, 1)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 1))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25453,plain,
% 28.45/18.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB183, constB184)) | (~v90(constB183, 1)) | v100(constB184) | v90(constB184, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB183, 1)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 1)))),
% 28.45/18.99 inference(monotonicity,[status(thm)],[25452])).
% 28.45/18.99 tff(25454,plain,
% 28.45/18.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB183, constB184)) | (~v90(constB183, 1)) | v100(constB184) | v90(constB184, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB183, 1)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 1))),
% 28.45/18.99 inference(transitivity,[status(thm)],[25453, 25451])).
% 28.45/18.99 tff(25455,plain,
% 28.45/18.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB183, constB184)) | (~v90(constB183, 1)) | v100(constB184) | v90(constB184, 1))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25456,plain,
% 28.45/18.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB183, 1)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 1)),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25455, 25454])).
% 28.45/18.99 tff(25457,plain,
% 28.45/18.99 ((~v90(constB183, 1)) | v100(constB184) | v90(constB184, 1)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25456, 903, 25353])).
% 28.45/18.99 tff(25458,plain,
% 28.45/18.99 (~v90(constB183, 1)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25457, 25450, 25359])).
% 28.45/18.99 tff(25459,plain,
% 28.45/18.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB183, 2) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB183, 2) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, 2)))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25460,plain,
% 28.45/18.99 (((~nextState(constB183, constB184)) | v90(constB183, 2) | v100(constB184) | (~v90(constB184, 2))) <=> (v90(constB183, 2) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, 2)))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25461,plain,
% 28.45/18.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB183, constB184)) | v90(constB183, 2) | v100(constB184) | (~v90(constB184, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB183, 2) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, 2))))),
% 28.45/18.99 inference(monotonicity,[status(thm)],[25460])).
% 28.45/18.99 tff(25462,plain,
% 28.45/18.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB183, constB184)) | v90(constB183, 2) | v100(constB184) | (~v90(constB184, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB183, 2) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, 2)))),
% 28.45/18.99 inference(transitivity,[status(thm)],[25461, 25459])).
% 28.45/18.99 tff(25463,plain,
% 28.45/18.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB183, constB184)) | v90(constB183, 2) | v100(constB184) | (~v90(constB184, 2)))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25464,plain,
% 28.45/18.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB183, 2) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, 2))),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25463, 25462])).
% 28.45/18.99 tff(25465,plain,
% 28.45/18.99 (v90(constB183, 2) | v100(constB184) | (~v90(constB184, 2))),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25464, 170, 25353])).
% 28.45/18.99 tff(25466,plain,
% 28.45/18.99 (~v90(constB184, 2)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25465, 25359, 25435])).
% 28.45/18.99 tff(25467,assumption,(~v90(constB184, 0)), introduced(assumption)).
% 28.45/18.99 tff(25468,assumption,(~v90(constB184, 2)), introduced(assumption)).
% 28.45/18.99 tff(25469,assumption,(v90(constB183, 2)), introduced(assumption)).
% 28.45/18.99 tff(25470,plain,
% 28.45/18.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB183, 2)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB183, 2)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 2))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25471,plain,
% 28.45/18.99 (((~nextState(constB183, constB184)) | (~v90(constB183, 2)) | v100(constB184) | v90(constB184, 2)) <=> ((~v90(constB183, 2)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 2))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25472,plain,
% 28.45/18.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB183, constB184)) | (~v90(constB183, 2)) | v100(constB184) | v90(constB184, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB183, 2)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 2)))),
% 28.45/18.99 inference(monotonicity,[status(thm)],[25471])).
% 28.45/18.99 tff(25473,plain,
% 28.45/18.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB183, constB184)) | (~v90(constB183, 2)) | v100(constB184) | v90(constB184, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB183, 2)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 2))),
% 28.45/18.99 inference(transitivity,[status(thm)],[25472, 25470])).
% 28.45/18.99 tff(25474,plain,
% 28.45/18.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB183, constB184)) | (~v90(constB183, 2)) | v100(constB184) | v90(constB184, 2))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25475,plain,
% 28.45/18.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB183, 2)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 2)),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25474, 25473])).
% 28.45/18.99 tff(25476,plain,
% 28.45/18.99 ((~v90(constB183, 2)) | v100(constB184) | v90(constB184, 2)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25475, 1546, 25353])).
% 28.45/18.99 tff(25477,plain,
% 28.45/18.99 (v100(constB184)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25476, 25469, 25468])).
% 28.45/18.99 tff(25478,plain,
% 28.45/18.99 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB184, 0) | (~v129(constB184, 0)) | (~v100(constB184)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB184, 0) | (~v129(constB184, 0)) | (~v100(constB184)))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25479,plain,
% 28.45/18.99 ((v90(constB184, 0) | (~v100(constB184)) | (~v129(constB184, 0))) <=> (v90(constB184, 0) | (~v129(constB184, 0)) | (~v100(constB184)))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25480,plain,
% 28.45/18.99 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB184, 0) | (~v100(constB184)) | (~v129(constB184, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB184, 0) | (~v129(constB184, 0)) | (~v100(constB184))))),
% 28.45/18.99 inference(monotonicity,[status(thm)],[25479])).
% 28.45/18.99 tff(25481,plain,
% 28.45/18.99 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB184, 0) | (~v100(constB184)) | (~v129(constB184, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB184, 0) | (~v129(constB184, 0)) | (~v100(constB184)))),
% 28.45/18.99 inference(transitivity,[status(thm)],[25480, 25478])).
% 28.45/18.99 tff(25482,plain,
% 28.45/18.99 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB184, 0) | (~v100(constB184)) | (~v129(constB184, 0)))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25483,plain,
% 28.45/18.99 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB184, 0) | (~v129(constB184, 0)) | (~v100(constB184))),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25482, 25481])).
% 28.45/18.99 tff(25484,plain,
% 28.45/18.99 ((~v129(constB184, 0)) | (~v100(constB184))),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25483, 642, 25467])).
% 28.45/18.99 tff(25485,plain,
% 28.45/18.99 (~v129(constB184, 0)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25484, 25477])).
% 28.45/18.99 tff(25486,plain,
% 28.45/18.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB183, constB184)) | (~v127(constB183, 0)) | v129(constB184, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB183, constB184)) | (~v127(constB183, 0)) | v129(constB184, 0))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25487,plain,
% 28.45/18.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB183, constB184)) | (~v127(constB183, 0)) | v129(constB184, 0))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25488,plain,
% 28.45/18.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB183, constB184)) | (~v127(constB183, 0)) | v129(constB184, 0)),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25487, 25486])).
% 28.45/18.99 tff(25489,plain,
% 28.45/18.99 ((~v127(constB183, 0)) | v129(constB184, 0)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25488, 627, 25353])).
% 28.45/18.99 tff(25490,plain,
% 28.45/18.99 (~v127(constB183, 0)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25489, 25485])).
% 28.45/18.99 tff(25491,plain,
% 28.45/18.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB183) | (~v130(constB183, 0)) | v127(constB183, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB183) | (~v130(constB183, 0)) | v127(constB183, 0))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25492,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB183) | (~v130(constB183, 0)) | v127(constB183, 0))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25493,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB183) | (~v130(constB183, 0)) | v127(constB183, 0)),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25492, 25491])).
% 28.45/18.99 tff(25494,plain,
% 28.45/18.99 ((~v130(constB183, 0)) | v127(constB183, 0)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25493, 612, 25342])).
% 28.45/18.99 tff(25495,plain,
% 28.45/18.99 (~v130(constB183, 0)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25494, 25490])).
% 28.45/18.99 tff(25496,plain,
% 28.45/18.99 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB183)) | v130(constB183, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB183)) | v130(constB183, 0))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25497,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB183)) | v130(constB183, 0))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25498,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB183)) | v130(constB183, 0)),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25497, 25496])).
% 28.45/18.99 tff(25499,plain,
% 28.45/18.99 (~v123(constB183)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25498, 1753, 25495])).
% 28.45/18.99 tff(25500,plain,
% 28.45/18.99 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB184, 1) | (~v129(constB184, 1)) | (~v100(constB184)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB184, 1) | (~v129(constB184, 1)) | (~v100(constB184)))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25501,plain,
% 28.45/18.99 ((v90(constB184, 1) | (~v100(constB184)) | (~v129(constB184, 1))) <=> (v90(constB184, 1) | (~v129(constB184, 1)) | (~v100(constB184)))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25502,plain,
% 28.45/18.99 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB184, 1) | (~v100(constB184)) | (~v129(constB184, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB184, 1) | (~v129(constB184, 1)) | (~v100(constB184))))),
% 28.45/18.99 inference(monotonicity,[status(thm)],[25501])).
% 28.45/18.99 tff(25503,plain,
% 28.45/18.99 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB184, 1) | (~v100(constB184)) | (~v129(constB184, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB184, 1) | (~v129(constB184, 1)) | (~v100(constB184)))),
% 28.45/18.99 inference(transitivity,[status(thm)],[25502, 25500])).
% 28.45/18.99 tff(25504,plain,
% 28.45/18.99 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB184, 1) | (~v100(constB184)) | (~v129(constB184, 1)))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25505,plain,
% 28.45/18.99 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB184, 1) | (~v129(constB184, 1)) | (~v100(constB184))),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25504, 25503])).
% 28.45/18.99 tff(25506,plain,
% 28.45/18.99 ((~v129(constB184, 1)) | (~v100(constB184))),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25505, 885, 25450])).
% 28.45/18.99 tff(25507,plain,
% 28.45/18.99 (~v129(constB184, 1)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25506, 25477])).
% 28.45/18.99 tff(25508,plain,
% 28.45/18.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB183, constB184)) | (~v127(constB183, 1)) | v129(constB184, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB183, constB184)) | (~v127(constB183, 1)) | v129(constB184, 1))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25509,plain,
% 28.45/18.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB183, constB184)) | (~v127(constB183, 1)) | v129(constB184, 1))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25510,plain,
% 28.45/18.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB183, constB184)) | (~v127(constB183, 1)) | v129(constB184, 1)),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25509, 25508])).
% 28.45/18.99 tff(25511,plain,
% 28.45/18.99 ((~v127(constB183, 1)) | v129(constB184, 1)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25510, 870, 25353])).
% 28.45/18.99 tff(25512,plain,
% 28.45/18.99 (~v127(constB183, 1)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25511, 25507])).
% 28.45/18.99 tff(25513,plain,
% 28.45/18.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB183) | (~v130(constB183, 1)) | v127(constB183, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB183) | (~v130(constB183, 1)) | v127(constB183, 1))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25514,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB183) | (~v130(constB183, 1)) | v127(constB183, 1))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25515,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB183) | (~v130(constB183, 1)) | v127(constB183, 1)),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25514, 25513])).
% 28.45/18.99 tff(25516,plain,
% 28.45/18.99 ((~v130(constB183, 1)) | v127(constB183, 1)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25515, 855, 25342])).
% 28.45/18.99 tff(25517,plain,
% 28.45/18.99 (~v130(constB183, 1)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25516, 25512])).
% 28.45/18.99 tff(25518,plain,
% 28.45/18.99 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB183)) | v130(constB183, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB183)) | v130(constB183, 1))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25519,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB183)) | v130(constB183, 1))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25520,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB183)) | v130(constB183, 1)),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25519, 25518])).
% 28.45/18.99 tff(25521,plain,
% 28.45/18.99 (~v124(constB183)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25520, 1929, 25517])).
% 28.45/18.99 tff(25522,plain,
% 28.45/18.99 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB183)) | (~v90(constB183, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB183)) | (~v90(constB183, 2)))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25523,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB183)) | (~v90(constB183, 2)))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25524,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB183)) | (~v90(constB183, 2))),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25523, 25522])).
% 28.45/18.99 tff(25525,plain,
% 28.45/18.99 (~v119(constB183)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25524, 3887, 25469])).
% 28.45/18.99 tff(25526,plain,
% 28.45/18.99 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB183)) | (~v90(constB183, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB183)) | (~v90(constB183, 2)))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25527,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB183)) | (~v90(constB183, 2)))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25528,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB183)) | (~v90(constB183, 2))),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25527, 25526])).
% 28.45/18.99 tff(25529,plain,
% 28.45/18.99 (~v120(constB183)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25528, 3898, 25469])).
% 28.45/18.99 tff(25530,plain,
% 28.45/18.99 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB183)) | (~v90(constB183, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB183)) | (~v90(constB183, 2)))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25531,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB183)) | (~v90(constB183, 2)))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25532,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB183)) | (~v90(constB183, 2))),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25531, 25530])).
% 28.45/18.99 tff(25533,plain,
% 28.45/18.99 (~v121(constB183)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25532, 2130, 25469])).
% 28.45/18.99 tff(25534,plain,
% 28.45/18.99 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB183)) | (~v90(constB183, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB183)) | (~v90(constB183, 2)))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25535,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB183)) | (~v90(constB183, 2)))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25536,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB183)) | (~v90(constB183, 2))),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25535, 25534])).
% 28.45/18.99 tff(25537,plain,
% 28.45/18.99 (~v122(constB183)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25536, 2119, 25469])).
% 28.45/18.99 tff(25538,plain,
% 28.45/18.99 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB183) | v120(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183) | v130(constB183, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB183) | v120(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183) | v130(constB183, 0))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25539,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB183) | v120(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183) | v130(constB183, 0))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25540,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB183) | v120(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183) | v130(constB183, 0)),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25539, 25538])).
% 28.45/18.99 tff(25541,plain,
% 28.45/18.99 (v123(constB183) | v124(constB183)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25540, 2258, 25495, 25537, 25533, 25529, 25525])).
% 28.45/18.99 tff(25542,plain,
% 28.45/18.99 ($false),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25541, 25521, 25499])).
% 28.45/18.99 tff(25543,plain,((~v90(constB183, 2)) | v90(constB184, 1) | v90(constB184, 0) | v90(constB184, 2)), inference(lemma,lemma(discharge,[]))).
% 28.45/18.99 tff(25544,plain,
% 28.45/18.99 (~v90(constB183, 2)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25543, 25468, 25467, 25450])).
% 28.45/18.99 tff(25545,assumption,(~v130(constB183, 0)), introduced(assumption)).
% 28.45/18.99 tff(25546,plain,
% 28.45/18.99 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB183)) | v130(constB183, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB183)) | v130(constB183, 0))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25547,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB183)) | v130(constB183, 0))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25548,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB183)) | v130(constB183, 0)),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25547, 25546])).
% 28.45/18.99 tff(25549,plain,
% 28.45/18.99 (~v119(constB183)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25548, 598, 25545])).
% 28.45/18.99 tff(25550,plain,
% 28.45/18.99 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB183)) | v130(constB183, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB183)) | v130(constB183, 0))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25551,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB183)) | v130(constB183, 0))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25552,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB183)) | v130(constB183, 0)),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25551, 25550])).
% 28.45/18.99 tff(25553,plain,
% 28.45/18.99 (~v121(constB183)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25552, 1099, 25545])).
% 28.45/18.99 tff(25554,assumption,(~v119(constB183)), introduced(assumption)).
% 28.45/18.99 tff(25555,plain,
% 28.45/18.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB183, 0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB183, 0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 0))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25556,plain,
% 28.45/18.99 (((~nextState(constB183, constB184)) | (~v90(constB183, 0)) | v100(constB184) | v90(constB184, 0)) <=> ((~v90(constB183, 0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 0))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25557,plain,
% 28.45/18.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB183, constB184)) | (~v90(constB183, 0)) | v100(constB184) | v90(constB184, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB183, 0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 0)))),
% 28.45/18.99 inference(monotonicity,[status(thm)],[25556])).
% 28.45/18.99 tff(25558,plain,
% 28.45/18.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB183, constB184)) | (~v90(constB183, 0)) | v100(constB184) | v90(constB184, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB183, 0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 0))),
% 28.45/18.99 inference(transitivity,[status(thm)],[25557, 25555])).
% 28.45/18.99 tff(25559,plain,
% 28.45/18.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB183, constB184)) | (~v90(constB183, 0)) | v100(constB184) | v90(constB184, 0))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25560,plain,
% 28.45/18.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB183, 0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 0)),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25559, 25558])).
% 28.45/18.99 tff(25561,plain,
% 28.45/18.99 ((~v90(constB183, 0)) | v100(constB184) | v90(constB184, 0)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25560, 660, 25353])).
% 28.45/18.99 tff(25562,plain,
% 28.45/18.99 (~v90(constB183, 0)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25561, 25359, 25467])).
% 28.45/18.99 tff(25563,plain,
% 28.45/18.99 (~v90(constB183, 1)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25457, 25359, 25450])).
% 28.45/18.99 tff(25564,plain,
% 28.45/18.99 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB183, 0) | v90(constB183, 1) | v90(constB183, 2) | v119(constB183))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB183, 0) | v90(constB183, 1) | v90(constB183, 2) | v119(constB183))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25565,plain,
% 28.45/18.99 ((v90(constB183, 0) | v119(constB183) | v90(constB183, 1) | v90(constB183, 2)) <=> (v90(constB183, 0) | v90(constB183, 1) | v90(constB183, 2) | v119(constB183))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25566,plain,
% 28.45/18.99 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB183, 0) | v119(constB183) | v90(constB183, 1) | v90(constB183, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB183, 0) | v90(constB183, 1) | v90(constB183, 2) | v119(constB183)))),
% 28.45/18.99 inference(monotonicity,[status(thm)],[25565])).
% 28.45/18.99 tff(25567,plain,
% 28.45/18.99 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB183, 0) | v119(constB183) | v90(constB183, 1) | v90(constB183, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB183, 0) | v90(constB183, 1) | v90(constB183, 2) | v119(constB183))),
% 28.45/18.99 inference(transitivity,[status(thm)],[25566, 25564])).
% 28.45/18.99 tff(25568,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB183, 0) | v119(constB183) | v90(constB183, 1) | v90(constB183, 2))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25569,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB183, 0) | v90(constB183, 1) | v90(constB183, 2) | v119(constB183)),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25568, 25567])).
% 28.45/18.99 tff(25570,plain,
% 28.45/18.99 (v90(constB183, 0) | v90(constB183, 1) | v119(constB183)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25569, 233, 25435])).
% 28.45/18.99 tff(25571,plain,
% 28.45/18.99 ($false),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25570, 25563, 25562, 25554])).
% 28.45/18.99 tff(25572,plain,(v100(constB184) | v119(constB183) | v90(constB183, 2) | v90(constB184, 1) | v90(constB184, 0)), inference(lemma,lemma(discharge,[]))).
% 28.45/18.99 tff(25573,plain,
% 28.45/18.99 (v100(constB184)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25572, 25549, 25544, 25450, 25467])).
% 28.45/18.99 tff(25574,plain,
% 28.45/18.99 (~v129(constB184, 1)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25506, 25573])).
% 28.45/18.99 tff(25575,plain,
% 28.45/18.99 (~v127(constB183, 1)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25511, 25574])).
% 28.45/18.99 tff(25576,plain,
% 28.45/18.99 (~v130(constB183, 1)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25516, 25575])).
% 28.45/18.99 tff(25577,plain,
% 28.45/18.99 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB183)) | v130(constB183, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB183)) | v130(constB183, 1))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25578,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB183)) | v130(constB183, 1))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25579,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB183)) | v130(constB183, 1)),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25578, 25577])).
% 28.45/18.99 tff(25580,plain,
% 28.45/18.99 (~v120(constB183)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25579, 841, 25576])).
% 28.45/18.99 tff(25581,plain,
% 28.45/18.99 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB184, 2) | (~v129(constB184, 2)) | (~v100(constB184)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB184, 2) | (~v129(constB184, 2)) | (~v100(constB184)))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25582,plain,
% 28.45/18.99 ((v90(constB184, 2) | (~v100(constB184)) | (~v129(constB184, 2))) <=> (v90(constB184, 2) | (~v129(constB184, 2)) | (~v100(constB184)))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25583,plain,
% 28.45/18.99 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB184, 2) | (~v100(constB184)) | (~v129(constB184, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB184, 2) | (~v129(constB184, 2)) | (~v100(constB184))))),
% 28.45/18.99 inference(monotonicity,[status(thm)],[25582])).
% 28.45/18.99 tff(25584,plain,
% 28.45/18.99 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB184, 2) | (~v100(constB184)) | (~v129(constB184, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB184, 2) | (~v129(constB184, 2)) | (~v100(constB184)))),
% 28.45/18.99 inference(transitivity,[status(thm)],[25583, 25581])).
% 28.45/18.99 tff(25585,plain,
% 28.45/18.99 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB184, 2) | (~v100(constB184)) | (~v129(constB184, 2)))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25586,plain,
% 28.45/18.99 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB184, 2) | (~v129(constB184, 2)) | (~v100(constB184))),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25585, 25584])).
% 28.45/18.99 tff(25587,plain,
% 28.45/18.99 ((~v129(constB184, 2)) | (~v100(constB184))),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25586, 1528, 25468])).
% 28.45/18.99 tff(25588,plain,
% 28.45/18.99 (~v129(constB184, 2)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25587, 25573])).
% 28.45/18.99 tff(25589,plain,
% 28.45/18.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB183, constB184)) | (~v127(constB183, 2)) | v129(constB184, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB183, constB184)) | (~v127(constB183, 2)) | v129(constB184, 2))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25590,plain,
% 28.45/18.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB183, constB184)) | (~v127(constB183, 2)) | v129(constB184, 2))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25591,plain,
% 28.45/18.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB183, constB184)) | (~v127(constB183, 2)) | v129(constB184, 2)),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25590, 25589])).
% 28.45/18.99 tff(25592,plain,
% 28.45/18.99 ((~v127(constB183, 2)) | v129(constB184, 2)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25591, 1513, 25353])).
% 28.45/18.99 tff(25593,plain,
% 28.45/18.99 (~v127(constB183, 2)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25592, 25588])).
% 28.45/18.99 tff(25594,plain,
% 28.45/18.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB183) | (~v130(constB183, 2)) | v127(constB183, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB183) | (~v130(constB183, 2)) | v127(constB183, 2))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25595,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB183) | (~v130(constB183, 2)) | v127(constB183, 2))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25596,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB183) | (~v130(constB183, 2)) | v127(constB183, 2)),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25595, 25594])).
% 28.45/18.99 tff(25597,plain,
% 28.45/18.99 ((~v130(constB183, 2)) | v127(constB183, 2)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25596, 1498, 25342])).
% 28.45/18.99 tff(25598,plain,
% 28.45/18.99 (~v130(constB183, 2)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25597, 25593])).
% 28.45/18.99 tff(25599,plain,
% 28.45/18.99 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB183)) | v130(constB183, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB183)) | v130(constB183, 2))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25600,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB183)) | v130(constB183, 2))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25601,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB183)) | v130(constB183, 2)),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25600, 25599])).
% 28.45/18.99 tff(25602,plain,
% 28.45/18.99 (~v122(constB183)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25601, 1484, 25598])).
% 28.45/18.99 tff(25603,plain,
% 28.45/18.99 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB183)) | v90(constB183, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB183)) | v90(constB183, 2))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25604,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB183)) | v90(constB183, 2))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25605,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB183)) | v90(constB183, 2)),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25604, 25603])).
% 28.45/18.99 tff(25606,plain,
% 28.45/18.99 (~v123(constB183)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25605, 3999, 25544])).
% 28.45/18.99 tff(25607,plain,
% 28.45/18.99 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB183)) | v90(constB183, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB183)) | v90(constB183, 2))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25608,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB183)) | v90(constB183, 2))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25609,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB183)) | v90(constB183, 2)),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25608, 25607])).
% 28.45/18.99 tff(25610,plain,
% 28.45/18.99 (~v124(constB183)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25609, 4010, 25544])).
% 28.45/18.99 tff(25611,plain,
% 28.45/18.99 (v119(constB183) | v120(constB183) | v121(constB183) | v122(constB183) | v130(constB183, 0)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25540, 2258, 25610, 25606])).
% 28.45/18.99 tff(25612,plain,
% 28.45/18.99 ($false),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25611, 25602, 25580, 25545, 25553, 25549])).
% 28.45/18.99 tff(25613,plain,(v130(constB183, 0) | v90(constB184, 2) | v90(constB184, 1) | v90(constB184, 0)), inference(lemma,lemma(discharge,[]))).
% 28.45/18.99 tff(25614,plain,
% 28.45/18.99 (v130(constB183, 0)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25613, 25468, 25450, 25467])).
% 28.45/18.99 tff(25615,plain,
% 28.45/18.99 (v127(constB183, 0)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25494, 25614])).
% 28.45/18.99 tff(25616,plain,
% 28.45/18.99 (v129(constB184, 0)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25489, 25615])).
% 28.45/18.99 tff(25617,plain,
% 28.45/18.99 (~v100(constB184)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25484, 25616])).
% 28.45/18.99 tff(25618,plain,
% 28.45/18.99 (v119(constB183)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25572, 25617, 25544, 25450, 25467])).
% 28.45/18.99 tff(25619,plain,
% 28.45/18.99 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB183) | (~v119(constB183)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB183) | (~v119(constB183)))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25620,plain,
% 28.45/18.99 (((~v119(constB183)) | v118(constB183)) <=> (v118(constB183) | (~v119(constB183)))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25621,plain,
% 28.45/18.99 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB183)) | v118(constB183))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB183) | (~v119(constB183))))),
% 28.45/18.99 inference(monotonicity,[status(thm)],[25620])).
% 28.45/18.99 tff(25622,plain,
% 28.45/18.99 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB183)) | v118(constB183))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB183) | (~v119(constB183)))),
% 28.45/18.99 inference(transitivity,[status(thm)],[25621, 25619])).
% 28.45/18.99 tff(25623,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB183)) | v118(constB183))),
% 28.45/18.99 inference(quant_inst,[status(thm)],[])).
% 28.45/18.99 tff(25624,plain,
% 28.45/18.99 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB183) | (~v119(constB183))),
% 28.45/18.99 inference(modus_ponens,[status(thm)],[25623, 25622])).
% 28.45/18.99 tff(25625,plain,
% 28.45/18.99 (v118(constB183)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25624, 247, 25618])).
% 28.45/18.99 tff(25626,plain,
% 28.45/18.99 (v117(constB183)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25441, 258, 25625])).
% 28.45/18.99 tff(25627,plain,
% 28.45/18.99 (v116(constB183)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25429, 272, 25626])).
% 28.45/18.99 tff(25628,plain,
% 28.45/18.99 (~v110(constB184)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25384, 25617])).
% 28.45/18.99 tff(25629,plain,
% 28.45/18.99 (~v108(constB183)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25392, 25628])).
% 28.45/18.99 tff(25630,plain,
% 28.45/18.99 (~v112(constB183)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25399, 340, 25629])).
% 28.45/18.99 tff(25631,plain,
% 28.45/18.99 (~v113(constB183)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25404, 25630])).
% 28.45/18.99 tff(25632,plain,
% 28.45/18.99 (~v114(constB183)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25411, 314, 25631])).
% 28.45/18.99 tff(25633,plain,
% 28.45/18.99 (~v115(constB183)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25418, 300, 25632])).
% 28.45/18.99 tff(25634,plain,
% 28.45/18.99 ($false),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25422, 286, 25633, 25627])).
% 28.45/18.99 tff(25635,plain,(v90(constB184, 2) | v90(constB184, 1) | v90(constB184, 0)), inference(lemma,lemma(discharge,[]))).
% 28.45/18.99 tff(25636,plain,
% 28.45/18.99 (v90(constB184, 0)),
% 28.45/18.99 inference(unit_resolution,[status(thm)],[25635, 25450, 25466])).
% 28.45/18.99 tff(25637,plain,
% 28.45/18.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB183, 0) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB183, 0) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, 0)))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25638,plain,
% 28.45/18.99 (((~nextState(constB183, constB184)) | v90(constB183, 0) | v100(constB184) | (~v90(constB184, 0))) <=> (v90(constB183, 0) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, 0)))),
% 28.45/18.99 inference(rewrite,[status(thm)],[])).
% 28.45/18.99 tff(25639,plain,
% 28.45/18.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB183, constB184)) | v90(constB183, 0) | v100(constB184) | (~v90(constB184, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB183, 0) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, 0))))),
% 28.45/18.99 inference(monotonicity,[status(thm)],[25638])).
% 28.45/18.99 tff(25640,plain,
% 28.45/18.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB183, constB184)) | v90(constB183, 0) | v100(constB184) | (~v90(constB184, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB183, 0) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, 0)))),
% 28.45/19.00 inference(transitivity,[status(thm)],[25639, 25637])).
% 28.45/19.00 tff(25641,plain,
% 28.45/19.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB183, constB184)) | v90(constB183, 0) | v100(constB184) | (~v90(constB184, 0)))),
% 28.45/19.00 inference(quant_inst,[status(thm)],[])).
% 28.45/19.00 tff(25642,plain,
% 28.45/19.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB183, 0) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, 0))),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25641, 25640])).
% 28.45/19.00 tff(25643,plain,
% 28.45/19.00 (v90(constB183, 0) | v100(constB184) | (~v90(constB184, 0))),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25642, 212, 25353])).
% 28.45/19.00 tff(25644,plain,
% 28.45/19.00 (v90(constB183, 0)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25643, 25636, 25359])).
% 28.45/19.00 tff(25645,plain,
% 28.45/19.00 ((~v90(constB183, 0)) | v90(constB183, 1) | v120(constB183)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25333, 679, 25435])).
% 28.45/19.00 tff(25646,plain,
% 28.45/19.00 ($false),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25645, 25644, 25458, 25449])).
% 28.45/19.00 tff(25647,plain,(v90(constB184, 1) | v90(constB183, 2) | v100(constB184)), inference(lemma,lemma(discharge,[]))).
% 28.45/19.00 tff(25648,plain,
% 28.45/19.00 (v90(constB184, 1)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25647, 25359, 25435])).
% 28.45/19.00 tff(25649,plain,
% 28.45/19.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB183, 1) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB183, 1) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, 1)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25650,plain,
% 28.45/19.00 (((~nextState(constB183, constB184)) | v90(constB183, 1) | v100(constB184) | (~v90(constB184, 1))) <=> (v90(constB183, 1) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, 1)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25651,plain,
% 28.45/19.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB183, constB184)) | v90(constB183, 1) | v100(constB184) | (~v90(constB184, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB183, 1) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, 1))))),
% 28.45/19.00 inference(monotonicity,[status(thm)],[25650])).
% 28.45/19.00 tff(25652,plain,
% 28.45/19.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB183, constB184)) | v90(constB183, 1) | v100(constB184) | (~v90(constB184, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB183, 1) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, 1)))),
% 28.45/19.00 inference(transitivity,[status(thm)],[25651, 25649])).
% 28.45/19.00 tff(25653,plain,
% 28.45/19.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB183, constB184)) | v90(constB183, 1) | v100(constB184) | (~v90(constB184, 1)))),
% 28.45/19.00 inference(quant_inst,[status(thm)],[])).
% 28.45/19.00 tff(25654,plain,
% 28.45/19.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB183, 1) | (~nextState(constB183, constB184)) | v100(constB184) | (~v90(constB184, 1))),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25653, 25652])).
% 28.45/19.00 tff(25655,plain,
% 28.45/19.00 (v90(constB183, 1) | v100(constB184) | (~v90(constB184, 1))),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25654, 191, 25353])).
% 28.45/19.00 tff(25656,plain,
% 28.45/19.00 (v90(constB183, 1)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25655, 25648, 25359])).
% 28.45/19.00 tff(25657,plain,
% 28.45/19.00 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB183)) | v116(constB183))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB183)) | v116(constB183))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25658,plain,
% 28.45/19.00 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB183)) | v116(constB183))),
% 28.45/19.00 inference(quant_inst,[status(thm)],[])).
% 28.45/19.00 tff(25659,plain,
% 28.45/19.00 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB183)) | v116(constB183)),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25658, 25657])).
% 28.45/19.00 tff(25660,plain,
% 28.45/19.00 (~v122(constB183)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25659, 1272, 25423])).
% 28.45/19.00 tff(25661,plain,
% 28.45/19.00 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB183, 0)) | (~v90(constB183, 1)) | v90(constB183, 2) | v122(constB183))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB183, 0)) | (~v90(constB183, 1)) | v90(constB183, 2) | v122(constB183))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25662,plain,
% 28.45/19.00 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB183, 0)) | (~v90(constB183, 1)) | v90(constB183, 2) | v122(constB183))),
% 28.45/19.00 inference(quant_inst,[status(thm)],[])).
% 28.45/19.00 tff(25663,plain,
% 28.45/19.00 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB183, 0)) | (~v90(constB183, 1)) | v90(constB183, 2) | v122(constB183)),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25662, 25661])).
% 28.45/19.00 tff(25664,plain,
% 28.45/19.00 ((~v90(constB183, 0)) | (~v90(constB183, 1)) | v122(constB183)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25663, 1260, 25435])).
% 28.45/19.00 tff(25665,plain,
% 28.45/19.00 (~v90(constB183, 0)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25664, 25656, 25660])).
% 28.45/19.00 tff(25666,plain,
% 28.45/19.00 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB183, 0) | (~v90(constB183, 1)) | v90(constB183, 2) | v121(constB183))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB183, 0) | (~v90(constB183, 1)) | v90(constB183, 2) | v121(constB183))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25667,plain,
% 28.45/19.00 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB183, 0) | (~v90(constB183, 1)) | v90(constB183, 2) | v121(constB183))),
% 28.45/19.00 inference(quant_inst,[status(thm)],[])).
% 28.45/19.00 tff(25668,plain,
% 28.45/19.00 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB183, 0) | (~v90(constB183, 1)) | v90(constB183, 2) | v121(constB183)),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25667, 25666])).
% 28.45/19.00 tff(25669,plain,
% 28.45/19.00 (v90(constB183, 0) | (~v90(constB183, 1)) | v121(constB183)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25668, 993, 25435])).
% 28.45/19.00 tff(25670,plain,
% 28.45/19.00 ($false),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25669, 25665, 25656, 25434])).
% 28.45/19.00 tff(25671,plain,(v100(constB184) | v90(constB183, 2)), inference(lemma,lemma(discharge,[]))).
% 28.45/19.00 tff(25672,plain,
% 28.45/19.00 (v100(constB184)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25671, 25265])).
% 28.45/19.00 tff(25673,plain,
% 28.45/19.00 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB184, 2)) | v129(constB184, 2) | (~v100(constB184)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB184, 2)) | v129(constB184, 2) | (~v100(constB184)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25674,plain,
% 28.45/19.00 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB184, 2)) | v129(constB184, 2) | (~v100(constB184)))),
% 28.45/19.00 inference(quant_inst,[status(thm)],[])).
% 28.45/19.00 tff(25675,plain,
% 28.45/19.00 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB184, 2)) | v129(constB184, 2) | (~v100(constB184))),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25674, 25673])).
% 28.45/19.00 tff(25676,plain,
% 28.45/19.00 ((~v90(constB184, 2)) | v129(constB184, 2)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25675, 488, 25672])).
% 28.45/19.00 tff(25677,plain,
% 28.45/19.00 (~v90(constB184, 2)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25676, 25358])).
% 28.45/19.00 tff(25678,plain,
% 28.45/19.00 ((~v1(constB185)) <=> (~v1(constB185))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25679,axiom,(~v1(constB185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_185_1_1')).
% 28.45/19.00 tff(25680,plain,
% 28.45/19.00 (~v1(constB185)),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25679, 25678])).
% 28.45/19.00 tff(25681,plain,
% 28.45/19.00 (nextState(constB184, constB185) <=> nextState(constB184, constB185)),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25682,axiom,(nextState(constB184, constB185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_184_1')).
% 28.45/19.00 tff(25683,plain,
% 28.45/19.00 (nextState(constB184, constB185)),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25682, 25681])).
% 28.45/19.00 tff(25684,plain,
% 28.45/19.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25685,plain,
% 28.45/19.00 (((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185)) <=> (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25686,plain,
% 28.45/19.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185))))),
% 28.45/19.00 inference(monotonicity,[status(thm)],[25685])).
% 28.45/19.00 tff(25687,plain,
% 28.45/19.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 28.45/19.00 inference(transitivity,[status(thm)],[25686, 25684])).
% 28.45/19.00 tff(25688,plain,
% 28.45/19.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))),
% 28.45/19.00 inference(quant_inst,[status(thm)],[])).
% 28.45/19.00 tff(25689,plain,
% 28.45/19.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185))),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25688, 25687])).
% 28.45/19.00 tff(25690,plain,
% 28.45/19.00 (~v101(constB185)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25689, 138, 25683, 25680])).
% 28.45/19.00 tff(25691,plain,
% 28.45/19.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25692,plain,
% 28.45/19.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))),
% 28.45/19.00 inference(quant_inst,[status(thm)],[])).
% 28.45/19.00 tff(25693,plain,
% 28.45/19.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185))),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25692, 25691])).
% 28.45/19.00 tff(25694,plain,
% 28.45/19.00 (v101(constB185) | (~v100(constB185))),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25693, 155, 25683])).
% 28.45/19.00 tff(25695,plain,
% 28.45/19.00 (~v100(constB185)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25694, 25690])).
% 28.45/19.00 tff(25696,plain,
% 28.45/19.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB184, 2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB184, 2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 2)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25697,plain,
% 28.45/19.00 (((~nextState(constB184, constB185)) | v90(constB184, 2) | v100(constB185) | (~v90(constB185, 2))) <=> (v90(constB184, 2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 2)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25698,plain,
% 28.45/19.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB184, constB185)) | v90(constB184, 2) | v100(constB185) | (~v90(constB185, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB184, 2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 2))))),
% 28.45/19.00 inference(monotonicity,[status(thm)],[25697])).
% 28.45/19.00 tff(25699,plain,
% 28.45/19.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB184, constB185)) | v90(constB184, 2) | v100(constB185) | (~v90(constB185, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB184, 2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 2)))),
% 28.45/19.00 inference(transitivity,[status(thm)],[25698, 25696])).
% 28.45/19.00 tff(25700,plain,
% 28.45/19.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB184, constB185)) | v90(constB184, 2) | v100(constB185) | (~v90(constB185, 2)))),
% 28.45/19.00 inference(quant_inst,[status(thm)],[])).
% 28.45/19.00 tff(25701,plain,
% 28.45/19.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB184, 2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 2))),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25700, 25699])).
% 28.45/19.00 tff(25702,plain,
% 28.45/19.00 (v90(constB184, 2) | v100(constB185) | (~v90(constB185, 2))),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25701, 170, 25683])).
% 28.45/19.00 tff(25703,plain,
% 28.45/19.00 (v90(constB184, 2) | (~v90(constB185, 2))),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25702, 25695])).
% 28.45/19.00 tff(25704,plain,
% 28.45/19.00 (~v90(constB185, 2)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25703, 25677])).
% 28.45/19.00 tff(25705,plain,
% 28.45/19.00 (v130(constB183, 1)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25579, 841, 25334])).
% 28.45/19.00 tff(25706,plain,
% 28.45/19.00 (v127(constB183, 1)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25516, 25705])).
% 28.45/19.00 tff(25707,plain,
% 28.45/19.00 (v129(constB184, 1)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25511, 25706])).
% 28.45/19.00 tff(25708,plain,
% 28.45/19.00 (v90(constB184, 1) | (~v129(constB184, 1))),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25505, 885, 25672])).
% 28.45/19.00 tff(25709,plain,
% 28.45/19.00 (v90(constB184, 1)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25708, 25707])).
% 28.45/19.00 tff(25710,plain,
% 28.45/19.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB184, 1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB184, 1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 1))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25711,plain,
% 28.45/19.00 (((~nextState(constB184, constB185)) | (~v90(constB184, 1)) | v100(constB185) | v90(constB185, 1)) <=> ((~v90(constB184, 1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 1))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25712,plain,
% 28.45/19.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, 1)) | v100(constB185) | v90(constB185, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB184, 1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 1)))),
% 28.45/19.00 inference(monotonicity,[status(thm)],[25711])).
% 28.45/19.00 tff(25713,plain,
% 28.45/19.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, 1)) | v100(constB185) | v90(constB185, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB184, 1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 1))),
% 28.45/19.00 inference(transitivity,[status(thm)],[25712, 25710])).
% 28.45/19.00 tff(25714,plain,
% 28.45/19.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, 1)) | v100(constB185) | v90(constB185, 1))),
% 28.45/19.00 inference(quant_inst,[status(thm)],[])).
% 28.45/19.00 tff(25715,plain,
% 28.45/19.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB184, 1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 1)),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25714, 25713])).
% 28.45/19.00 tff(25716,plain,
% 28.45/19.00 ((~v90(constB184, 1)) | v100(constB185) | v90(constB185, 1)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25715, 903, 25683])).
% 28.45/19.00 tff(25717,plain,
% 28.45/19.00 ((~v90(constB184, 1)) | v90(constB185, 1)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25716, 25695])).
% 28.45/19.00 tff(25718,plain,
% 28.45/19.00 (v90(constB185, 1)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25717, 25709])).
% 28.45/19.00 tff(25719,plain,
% 28.45/19.00 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB183)) | (~v130(constB183, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB183)) | (~v130(constB183, 0)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25720,plain,
% 28.45/19.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB183)) | (~v130(constB183, 0)))),
% 28.45/19.00 inference(quant_inst,[status(thm)],[])).
% 28.45/19.00 tff(25721,plain,
% 28.45/19.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB183)) | (~v130(constB183, 0))),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25720, 25719])).
% 28.45/19.00 tff(25722,plain,
% 28.45/19.00 (~v130(constB183, 0)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25721, 919, 25334])).
% 28.45/19.00 tff(25723,plain,
% 28.45/19.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB183, 0)) | v26(constB183) | v130(constB183, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB183, 0)) | v26(constB183) | v130(constB183, 0))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25724,plain,
% 28.45/19.00 ((v26(constB183) | v130(constB183, 0) | (~v127(constB183, 0))) <=> ((~v127(constB183, 0)) | v26(constB183) | v130(constB183, 0))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25725,plain,
% 28.45/19.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB183) | v130(constB183, 0) | (~v127(constB183, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB183, 0)) | v26(constB183) | v130(constB183, 0)))),
% 28.45/19.00 inference(monotonicity,[status(thm)],[25724])).
% 28.45/19.00 tff(25726,plain,
% 28.45/19.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB183) | v130(constB183, 0) | (~v127(constB183, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB183, 0)) | v26(constB183) | v130(constB183, 0))),
% 28.45/19.00 inference(transitivity,[status(thm)],[25725, 25723])).
% 28.45/19.00 tff(25727,plain,
% 28.45/19.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB183) | v130(constB183, 0) | (~v127(constB183, 0)))),
% 28.45/19.00 inference(quant_inst,[status(thm)],[])).
% 28.45/19.00 tff(25728,plain,
% 28.45/19.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB183, 0)) | v26(constB183) | v130(constB183, 0)),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25727, 25726])).
% 28.45/19.00 tff(25729,plain,
% 28.45/19.00 ((~v127(constB183, 0)) | v130(constB183, 0)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25728, 933, 25342])).
% 28.45/19.00 tff(25730,plain,
% 28.45/19.00 (~v127(constB183, 0)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25729, 25722])).
% 28.45/19.00 tff(25731,plain,
% 28.45/19.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB183, constB184)) | v127(constB183, 0) | (~v129(constB184, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB183, constB184)) | v127(constB183, 0) | (~v129(constB184, 0)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25732,plain,
% 28.45/19.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB183, constB184)) | v127(constB183, 0) | (~v129(constB184, 0)))),
% 28.45/19.00 inference(quant_inst,[status(thm)],[])).
% 28.45/19.00 tff(25733,plain,
% 28.45/19.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB183, constB184)) | v127(constB183, 0) | (~v129(constB184, 0))),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25732, 25731])).
% 28.45/19.00 tff(25734,plain,
% 28.45/19.00 (v127(constB183, 0) | (~v129(constB184, 0))),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25733, 951, 25353])).
% 28.45/19.00 tff(25735,plain,
% 28.45/19.00 (~v129(constB184, 0)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25734, 25730])).
% 28.45/19.00 tff(25736,plain,
% 28.45/19.00 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB184, 0)) | v129(constB184, 0) | (~v100(constB184)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB184, 0)) | v129(constB184, 0) | (~v100(constB184)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25737,plain,
% 28.45/19.00 (((~v90(constB184, 0)) | (~v100(constB184)) | v129(constB184, 0)) <=> ((~v90(constB184, 0)) | v129(constB184, 0) | (~v100(constB184)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25738,plain,
% 28.45/19.00 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB184, 0)) | (~v100(constB184)) | v129(constB184, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB184, 0)) | v129(constB184, 0) | (~v100(constB184))))),
% 28.45/19.00 inference(monotonicity,[status(thm)],[25737])).
% 28.45/19.00 tff(25739,plain,
% 28.45/19.00 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB184, 0)) | (~v100(constB184)) | v129(constB184, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB184, 0)) | v129(constB184, 0) | (~v100(constB184)))),
% 28.45/19.00 inference(transitivity,[status(thm)],[25738, 25736])).
% 28.45/19.00 tff(25740,plain,
% 28.45/19.00 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB184, 0)) | (~v100(constB184)) | v129(constB184, 0))),
% 28.45/19.00 inference(quant_inst,[status(thm)],[])).
% 28.45/19.00 tff(25741,plain,
% 28.45/19.00 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB184, 0)) | v129(constB184, 0) | (~v100(constB184))),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25740, 25739])).
% 28.45/19.00 tff(25742,plain,
% 28.45/19.00 ((~v90(constB184, 0)) | v129(constB184, 0)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25741, 966, 25672])).
% 28.45/19.00 tff(25743,plain,
% 28.45/19.00 (~v90(constB184, 0)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25742, 25735])).
% 28.45/19.00 tff(25744,plain,
% 28.45/19.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB184, 0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB184, 0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 0)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25745,plain,
% 28.45/19.00 (((~nextState(constB184, constB185)) | v90(constB184, 0) | v100(constB185) | (~v90(constB185, 0))) <=> (v90(constB184, 0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 0)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25746,plain,
% 28.45/19.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB184, constB185)) | v90(constB184, 0) | v100(constB185) | (~v90(constB185, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB184, 0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 0))))),
% 28.45/19.00 inference(monotonicity,[status(thm)],[25745])).
% 28.45/19.00 tff(25747,plain,
% 28.45/19.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB184, constB185)) | v90(constB184, 0) | v100(constB185) | (~v90(constB185, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB184, 0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 0)))),
% 28.45/19.00 inference(transitivity,[status(thm)],[25746, 25744])).
% 28.45/19.00 tff(25748,plain,
% 28.45/19.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB184, constB185)) | v90(constB184, 0) | v100(constB185) | (~v90(constB185, 0)))),
% 28.45/19.00 inference(quant_inst,[status(thm)],[])).
% 28.45/19.00 tff(25749,plain,
% 28.45/19.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB184, 0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 0))),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25748, 25747])).
% 28.45/19.00 tff(25750,plain,
% 28.45/19.00 (v90(constB184, 0) | v100(constB185) | (~v90(constB185, 0))),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25749, 212, 25683])).
% 28.45/19.00 tff(25751,plain,
% 28.45/19.00 (v90(constB184, 0) | (~v90(constB185, 0))),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25750, 25695])).
% 28.45/19.00 tff(25752,plain,
% 28.45/19.00 (~v90(constB185, 0)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25751, 25743])).
% 28.45/19.00 tff(25753,plain,
% 28.45/19.00 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB185, 0) | (~v90(constB185, 1)) | v90(constB185, 2) | v121(constB185))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB185, 0) | (~v90(constB185, 1)) | v90(constB185, 2) | v121(constB185))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25754,plain,
% 28.45/19.00 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB185, 0) | (~v90(constB185, 1)) | v90(constB185, 2) | v121(constB185))),
% 28.45/19.00 inference(quant_inst,[status(thm)],[])).
% 28.45/19.00 tff(25755,plain,
% 28.45/19.00 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB185, 0) | (~v90(constB185, 1)) | v90(constB185, 2) | v121(constB185)),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25754, 25753])).
% 28.45/19.00 tff(25756,plain,
% 28.45/19.00 (v121(constB185)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25755, 993, 25752, 25718, 25704])).
% 28.45/19.00 tff(25757,plain,
% 28.45/19.00 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB185)) | v117(constB185))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB185)) | v117(constB185))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25758,plain,
% 28.45/19.00 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB185)) | v117(constB185))),
% 28.45/19.00 inference(quant_inst,[status(thm)],[])).
% 28.45/19.00 tff(25759,plain,
% 28.45/19.00 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB185)) | v117(constB185)),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25758, 25757])).
% 28.45/19.00 tff(25760,plain,
% 28.45/19.00 (v117(constB185)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25759, 1004, 25756])).
% 28.45/19.00 tff(25761,plain,
% 28.45/19.00 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB185) | (~v117(constB185)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB185) | (~v117(constB185)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25762,plain,
% 28.45/19.00 (((~v117(constB185)) | v116(constB185)) <=> (v116(constB185) | (~v117(constB185)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25763,plain,
% 28.45/19.00 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB185)) | v116(constB185))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB185) | (~v117(constB185))))),
% 28.45/19.00 inference(monotonicity,[status(thm)],[25762])).
% 28.45/19.00 tff(25764,plain,
% 28.45/19.00 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB185)) | v116(constB185))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB185) | (~v117(constB185)))),
% 28.45/19.00 inference(transitivity,[status(thm)],[25763, 25761])).
% 28.45/19.00 tff(25765,plain,
% 28.45/19.00 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB185)) | v116(constB185))),
% 28.45/19.00 inference(quant_inst,[status(thm)],[])).
% 28.45/19.00 tff(25766,plain,
% 28.45/19.00 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB185) | (~v117(constB185))),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25765, 25764])).
% 28.45/19.00 tff(25767,plain,
% 28.45/19.00 (v116(constB185)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25766, 272, 25760])).
% 28.45/19.00 tff(25768,plain,
% 28.45/19.00 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB185) | (~v116(constB185)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB185) | (~v116(constB185)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25769,plain,
% 28.45/19.00 (((~v116(constB185)) | v115(constB185)) <=> (v115(constB185) | (~v116(constB185)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25770,plain,
% 28.45/19.00 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB185)) | v115(constB185))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB185) | (~v116(constB185))))),
% 28.45/19.00 inference(monotonicity,[status(thm)],[25769])).
% 28.45/19.00 tff(25771,plain,
% 28.45/19.00 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB185)) | v115(constB185))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB185) | (~v116(constB185)))),
% 28.45/19.00 inference(transitivity,[status(thm)],[25770, 25768])).
% 28.45/19.00 tff(25772,plain,
% 28.45/19.00 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB185)) | v115(constB185))),
% 28.45/19.00 inference(quant_inst,[status(thm)],[])).
% 28.45/19.00 tff(25773,plain,
% 28.45/19.00 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB185) | (~v116(constB185))),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25772, 25771])).
% 28.45/19.00 tff(25774,plain,
% 28.45/19.00 (v115(constB185)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25773, 286, 25767])).
% 28.45/19.00 tff(25775,plain,
% 28.45/19.00 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB185) | (~v115(constB185)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB185) | (~v115(constB185)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25776,plain,
% 28.45/19.00 (((~v115(constB185)) | v114(constB185)) <=> (v114(constB185) | (~v115(constB185)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25777,plain,
% 28.45/19.00 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB185)) | v114(constB185))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB185) | (~v115(constB185))))),
% 28.45/19.00 inference(monotonicity,[status(thm)],[25776])).
% 28.45/19.00 tff(25778,plain,
% 28.45/19.00 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB185)) | v114(constB185))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB185) | (~v115(constB185)))),
% 28.45/19.00 inference(transitivity,[status(thm)],[25777, 25775])).
% 28.45/19.00 tff(25779,plain,
% 28.45/19.00 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB185)) | v114(constB185))),
% 28.45/19.00 inference(quant_inst,[status(thm)],[])).
% 28.45/19.00 tff(25780,plain,
% 28.45/19.00 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB185) | (~v115(constB185))),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25779, 25778])).
% 28.45/19.00 tff(25781,plain,
% 28.45/19.00 (v114(constB185)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25780, 300, 25774])).
% 28.45/19.00 tff(25782,plain,
% 28.45/19.00 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB185) | (~v114(constB185)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB185) | (~v114(constB185)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25783,plain,
% 28.45/19.00 (((~v114(constB185)) | v113(constB185)) <=> (v113(constB185) | (~v114(constB185)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25784,plain,
% 28.45/19.00 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB185)) | v113(constB185))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB185) | (~v114(constB185))))),
% 28.45/19.00 inference(monotonicity,[status(thm)],[25783])).
% 28.45/19.00 tff(25785,plain,
% 28.45/19.00 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB185)) | v113(constB185))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB185) | (~v114(constB185)))),
% 28.45/19.00 inference(transitivity,[status(thm)],[25784, 25782])).
% 28.45/19.00 tff(25786,plain,
% 28.45/19.00 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB185)) | v113(constB185))),
% 28.45/19.00 inference(quant_inst,[status(thm)],[])).
% 28.45/19.00 tff(25787,plain,
% 28.45/19.00 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB185) | (~v114(constB185))),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25786, 25785])).
% 28.45/19.00 tff(25788,plain,
% 28.45/19.00 (v113(constB185)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25787, 314, 25781])).
% 28.45/19.00 tff(25789,assumption,(v26(constB185)), introduced(assumption)).
% 28.45/19.00 tff(25790,plain,
% 28.45/19.00 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB185))),
% 28.45/19.00 inference(quant_inst,[status(thm)],[])).
% 28.45/19.00 tff(25791,plain,
% 28.45/19.00 ($false),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25790, 95, 25789])).
% 28.45/19.00 tff(25792,plain,(~v26(constB185)), inference(lemma,lemma(discharge,[]))).
% 28.45/19.00 tff(25793,plain,
% 28.45/19.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | v112(constB185) | (~v113(constB185)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB185) | v112(constB185) | (~v113(constB185)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25794,plain,
% 28.45/19.00 ((v26(constB185) | (~v113(constB185)) | v112(constB185)) <=> (v26(constB185) | v112(constB185) | (~v113(constB185)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25795,plain,
% 28.45/19.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | (~v113(constB185)) | v112(constB185))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | v112(constB185) | (~v113(constB185))))),
% 28.45/19.00 inference(monotonicity,[status(thm)],[25794])).
% 28.45/19.00 tff(25796,plain,
% 28.45/19.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | (~v113(constB185)) | v112(constB185))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB185) | v112(constB185) | (~v113(constB185)))),
% 28.45/19.00 inference(transitivity,[status(thm)],[25795, 25793])).
% 28.45/19.00 tff(25797,plain,
% 28.45/19.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | (~v113(constB185)) | v112(constB185))),
% 28.45/19.00 inference(quant_inst,[status(thm)],[])).
% 28.45/19.00 tff(25798,plain,
% 28.45/19.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB185) | v112(constB185) | (~v113(constB185))),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25797, 25796])).
% 28.45/19.00 tff(25799,plain,
% 28.45/19.00 (v112(constB185) | (~v113(constB185))),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25798, 328, 25792])).
% 28.45/19.00 tff(25800,plain,
% 28.45/19.00 (v112(constB185)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25799, 25788])).
% 28.45/19.00 tff(25801,plain,
% 28.45/19.00 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB185) | (~v112(constB185)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB185) | (~v112(constB185)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25802,plain,
% 28.45/19.00 (((~v112(constB185)) | v108(constB185)) <=> (v108(constB185) | (~v112(constB185)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25803,plain,
% 28.45/19.00 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB185)) | v108(constB185))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB185) | (~v112(constB185))))),
% 28.45/19.00 inference(monotonicity,[status(thm)],[25802])).
% 28.45/19.00 tff(25804,plain,
% 28.45/19.00 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB185)) | v108(constB185))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB185) | (~v112(constB185)))),
% 28.45/19.00 inference(transitivity,[status(thm)],[25803, 25801])).
% 28.45/19.00 tff(25805,plain,
% 28.45/19.00 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB185)) | v108(constB185))),
% 28.45/19.00 inference(quant_inst,[status(thm)],[])).
% 28.45/19.00 tff(25806,plain,
% 28.45/19.00 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB185) | (~v112(constB185))),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25805, 25804])).
% 28.45/19.00 tff(25807,plain,
% 28.45/19.00 (v108(constB185)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25806, 340, 25800])).
% 28.45/19.00 tff(25808,plain,
% 28.45/19.00 (nextState(constB185, constB186) <=> nextState(constB185, constB186)),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25809,axiom,(nextState(constB185, constB186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_185_1')).
% 28.45/19.00 tff(25810,plain,
% 28.45/19.00 (nextState(constB185, constB186)),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25809, 25808])).
% 28.45/19.00 tff(25811,plain,
% 28.45/19.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25812,plain,
% 28.45/19.00 (((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186)) <=> ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25813,plain,
% 28.45/19.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185))))),
% 28.45/19.00 inference(monotonicity,[status(thm)],[25812])).
% 28.45/19.00 tff(25814,plain,
% 28.45/19.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 28.45/19.00 inference(transitivity,[status(thm)],[25813, 25811])).
% 28.45/19.00 tff(25815,plain,
% 28.45/19.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))),
% 28.45/19.00 inference(quant_inst,[status(thm)],[])).
% 28.45/19.00 tff(25816,plain,
% 28.45/19.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185))),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25815, 25814])).
% 28.45/19.00 tff(25817,plain,
% 28.45/19.00 (v110(constB186) | (~v108(constB185))),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25816, 360, 25810])).
% 28.45/19.00 tff(25818,plain,
% 28.45/19.00 (v110(constB186)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25817, 25807])).
% 28.45/19.00 tff(25819,plain,
% 28.45/19.00 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25820,plain,
% 28.45/19.00 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))),
% 28.45/19.00 inference(quant_inst,[status(thm)],[])).
% 28.45/19.00 tff(25821,plain,
% 28.45/19.00 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186))),
% 28.45/19.00 inference(modus_ponens,[status(thm)],[25820, 25819])).
% 28.45/19.00 tff(25822,plain,
% 28.45/19.00 (~v104(constB186)),
% 28.45/19.00 inference(unit_resolution,[status(thm)],[25821, 378, 25810, 25680])).
% 28.45/19.00 tff(25823,plain,
% 28.45/19.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))),
% 28.45/19.00 inference(rewrite,[status(thm)],[])).
% 28.45/19.00 tff(25824,plain,
% 28.45/19.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))),
% 28.45/19.00 inference(quant_inst,[status(thm)],[])).
% 28.45/19.00 tff(25825,plain,
% 28.45/19.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB185, constB186)) | v102(constB186) | v104(constB186)),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25824, 25823])).
% 28.45/19.01 tff(25826,plain,
% 28.45/19.01 (v102(constB186) | v104(constB186)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25825, 392, 25810])).
% 28.45/19.01 tff(25827,plain,
% 28.45/19.01 (v102(constB186)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25826, 25822])).
% 28.45/19.01 tff(25828,plain,
% 28.45/19.01 (v1(constB186) <=> v1(constB186)),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25829,axiom,(v1(constB186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_186_1')).
% 28.45/19.01 tff(25830,plain,
% 28.45/19.01 (v1(constB186)),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25829, 25828])).
% 28.45/19.01 tff(25831,plain,
% 28.45/19.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25832,plain,
% 28.45/19.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(25833,plain,
% 28.45/19.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186))),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25832, 25831])).
% 28.45/19.01 tff(25834,plain,
% 28.45/19.01 (v101(constB186) | (~v102(constB186))),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25833, 410, 25810, 25830])).
% 28.45/19.01 tff(25835,plain,
% 28.45/19.01 (v101(constB186)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25834, 25827])).
% 28.45/19.01 tff(25836,plain,
% 28.45/19.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25837,plain,
% 28.45/19.01 (((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186)) <=> ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25838,plain,
% 28.45/19.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186))))),
% 28.45/19.01 inference(monotonicity,[status(thm)],[25837])).
% 28.45/19.01 tff(25839,plain,
% 28.45/19.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 28.45/19.01 inference(transitivity,[status(thm)],[25838, 25836])).
% 28.45/19.01 tff(25840,plain,
% 28.45/19.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(25841,plain,
% 28.45/19.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186))),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25840, 25839])).
% 28.45/19.01 tff(25842,plain,
% 28.45/19.01 (v100(constB186) | (~v101(constB186)) | (~v110(constB186))),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25841, 425, 25810])).
% 28.45/19.01 tff(25843,plain,
% 28.45/19.01 (v100(constB186) | (~v110(constB186))),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25842, 25835])).
% 28.45/19.01 tff(25844,plain,
% 28.45/19.01 (v100(constB186)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25843, 25818])).
% 28.45/19.01 tff(25845,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB185)) | (~v130(constB185, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB185)) | (~v130(constB185, 2)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25846,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB185)) | (~v130(constB185, 2)))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(25847,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB185)) | (~v130(constB185, 2))),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25846, 25845])).
% 28.45/19.01 tff(25848,plain,
% 28.45/19.01 (~v130(constB185, 2)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25847, 1155, 25756])).
% 28.45/19.01 tff(25849,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB185, 2)) | v26(constB185) | v130(constB185, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB185, 2)) | v26(constB185) | v130(constB185, 2))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25850,plain,
% 28.45/19.01 ((v26(constB185) | v130(constB185, 2) | (~v127(constB185, 2))) <=> ((~v127(constB185, 2)) | v26(constB185) | v130(constB185, 2))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25851,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB185) | v130(constB185, 2) | (~v127(constB185, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB185, 2)) | v26(constB185) | v130(constB185, 2)))),
% 28.45/19.01 inference(monotonicity,[status(thm)],[25850])).
% 28.45/19.01 tff(25852,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB185) | v130(constB185, 2) | (~v127(constB185, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB185, 2)) | v26(constB185) | v130(constB185, 2))),
% 28.45/19.01 inference(transitivity,[status(thm)],[25851, 25849])).
% 28.45/19.01 tff(25853,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB185) | v130(constB185, 2) | (~v127(constB185, 2)))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(25854,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB185, 2)) | v26(constB185) | v130(constB185, 2)),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25853, 25852])).
% 28.45/19.01 tff(25855,plain,
% 28.45/19.01 ((~v127(constB185, 2)) | v130(constB185, 2)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25854, 455, 25792])).
% 28.45/19.01 tff(25856,plain,
% 28.45/19.01 (~v127(constB185, 2)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25855, 25848])).
% 28.45/19.01 tff(25857,plain,
% 28.45/19.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB185, constB186)) | v127(constB185, 2) | (~v129(constB186, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB185, constB186)) | v127(constB185, 2) | (~v129(constB186, 2)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25858,plain,
% 28.45/19.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB185, constB186)) | v127(constB185, 2) | (~v129(constB186, 2)))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(25859,plain,
% 28.45/19.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB185, constB186)) | v127(constB185, 2) | (~v129(constB186, 2))),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25858, 25857])).
% 28.45/19.01 tff(25860,plain,
% 28.45/19.01 (v127(constB185, 2) | (~v129(constB186, 2))),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25859, 473, 25810])).
% 28.45/19.01 tff(25861,plain,
% 28.45/19.01 (~v129(constB186, 2)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25860, 25856])).
% 28.45/19.01 tff(25862,plain,
% 28.45/19.01 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB186, 2)) | v129(constB186, 2) | (~v100(constB186)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB186, 2)) | v129(constB186, 2) | (~v100(constB186)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25863,plain,
% 28.45/19.01 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB186, 2)) | v129(constB186, 2) | (~v100(constB186)))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(25864,plain,
% 28.45/19.01 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB186, 2)) | v129(constB186, 2) | (~v100(constB186))),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25863, 25862])).
% 28.45/19.01 tff(25865,plain,
% 28.45/19.01 ((~v90(constB186, 2)) | (~v100(constB186))),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25864, 488, 25861])).
% 28.45/19.01 tff(25866,plain,
% 28.45/19.01 (~v90(constB186, 2)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25865, 25844])).
% 28.45/19.01 tff(25867,plain,
% 28.45/19.01 ((~v1(constB187)) <=> (~v1(constB187))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25868,axiom,(~v1(constB187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_187_1_1')).
% 28.45/19.01 tff(25869,plain,
% 28.45/19.01 (~v1(constB187)),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25868, 25867])).
% 28.45/19.01 tff(25870,plain,
% 28.45/19.01 (nextState(constB186, constB187) <=> nextState(constB186, constB187)),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25871,axiom,(nextState(constB186, constB187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_186_1')).
% 28.45/19.01 tff(25872,plain,
% 28.45/19.01 (nextState(constB186, constB187)),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25871, 25870])).
% 28.45/19.01 tff(25873,plain,
% 28.45/19.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25874,plain,
% 28.45/19.01 (((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187)) <=> (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25875,plain,
% 28.45/19.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187))))),
% 28.45/19.01 inference(monotonicity,[status(thm)],[25874])).
% 28.45/19.01 tff(25876,plain,
% 28.45/19.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 28.45/19.01 inference(transitivity,[status(thm)],[25875, 25873])).
% 28.45/19.01 tff(25877,plain,
% 28.45/19.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(25878,plain,
% 28.45/19.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187))),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25877, 25876])).
% 28.45/19.01 tff(25879,plain,
% 28.45/19.01 (~v101(constB187)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25878, 138, 25872, 25869])).
% 28.45/19.01 tff(25880,plain,
% 28.45/19.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25881,plain,
% 28.45/19.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(25882,plain,
% 28.45/19.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187))),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25881, 25880])).
% 28.45/19.01 tff(25883,plain,
% 28.45/19.01 (v101(constB187) | (~v100(constB187))),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25882, 155, 25872])).
% 28.45/19.01 tff(25884,plain,
% 28.45/19.01 (~v100(constB187)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25883, 25879])).
% 28.45/19.01 tff(25885,plain,
% 28.45/19.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB186, 2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB186, 2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, 2)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25886,plain,
% 28.45/19.01 (((~nextState(constB186, constB187)) | v90(constB186, 2) | v100(constB187) | (~v90(constB187, 2))) <=> (v90(constB186, 2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, 2)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25887,plain,
% 28.45/19.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB186, constB187)) | v90(constB186, 2) | v100(constB187) | (~v90(constB187, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB186, 2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, 2))))),
% 28.45/19.01 inference(monotonicity,[status(thm)],[25886])).
% 28.45/19.01 tff(25888,plain,
% 28.45/19.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB186, constB187)) | v90(constB186, 2) | v100(constB187) | (~v90(constB187, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB186, 2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, 2)))),
% 28.45/19.01 inference(transitivity,[status(thm)],[25887, 25885])).
% 28.45/19.01 tff(25889,plain,
% 28.45/19.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB186, constB187)) | v90(constB186, 2) | v100(constB187) | (~v90(constB187, 2)))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(25890,plain,
% 28.45/19.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB186, 2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, 2))),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25889, 25888])).
% 28.45/19.01 tff(25891,plain,
% 28.45/19.01 (v90(constB186, 2) | v100(constB187) | (~v90(constB187, 2))),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25890, 170, 25872])).
% 28.45/19.01 tff(25892,plain,
% 28.45/19.01 (v90(constB186, 2) | (~v90(constB187, 2))),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25891, 25884])).
% 28.45/19.01 tff(25893,plain,
% 28.45/19.01 (~v90(constB187, 2)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25892, 25866])).
% 28.45/19.01 tff(25894,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB185)) | v130(constB185, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB185)) | v130(constB185, 1))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25895,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB185)) | v130(constB185, 1))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(25896,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB185)) | v130(constB185, 1)),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25895, 25894])).
% 28.45/19.01 tff(25897,plain,
% 28.45/19.01 (v130(constB185, 1)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25896, 1235, 25756])).
% 28.45/19.01 tff(25898,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB185) | (~v130(constB185, 1)) | v127(constB185, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB185) | (~v130(constB185, 1)) | v127(constB185, 1))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25899,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB185) | (~v130(constB185, 1)) | v127(constB185, 1))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(25900,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB185) | (~v130(constB185, 1)) | v127(constB185, 1)),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25899, 25898])).
% 28.45/19.01 tff(25901,plain,
% 28.45/19.01 ((~v130(constB185, 1)) | v127(constB185, 1)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25900, 855, 25792])).
% 28.45/19.01 tff(25902,plain,
% 28.45/19.01 (v127(constB185, 1)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25901, 25897])).
% 28.45/19.01 tff(25903,plain,
% 28.45/19.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB185, constB186)) | (~v127(constB185, 1)) | v129(constB186, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB185, constB186)) | (~v127(constB185, 1)) | v129(constB186, 1))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25904,plain,
% 28.45/19.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB185, constB186)) | (~v127(constB185, 1)) | v129(constB186, 1))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(25905,plain,
% 28.45/19.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB185, constB186)) | (~v127(constB185, 1)) | v129(constB186, 1)),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25904, 25903])).
% 28.45/19.01 tff(25906,plain,
% 28.45/19.01 ((~v127(constB185, 1)) | v129(constB186, 1)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25905, 870, 25810])).
% 28.45/19.01 tff(25907,plain,
% 28.45/19.01 (v129(constB186, 1)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25906, 25902])).
% 28.45/19.01 tff(25908,plain,
% 28.45/19.01 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB186, 1) | (~v129(constB186, 1)) | (~v100(constB186)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB186, 1) | (~v129(constB186, 1)) | (~v100(constB186)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25909,plain,
% 28.45/19.01 ((v90(constB186, 1) | (~v100(constB186)) | (~v129(constB186, 1))) <=> (v90(constB186, 1) | (~v129(constB186, 1)) | (~v100(constB186)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25910,plain,
% 28.45/19.01 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB186, 1) | (~v100(constB186)) | (~v129(constB186, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB186, 1) | (~v129(constB186, 1)) | (~v100(constB186))))),
% 28.45/19.01 inference(monotonicity,[status(thm)],[25909])).
% 28.45/19.01 tff(25911,plain,
% 28.45/19.01 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB186, 1) | (~v100(constB186)) | (~v129(constB186, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB186, 1) | (~v129(constB186, 1)) | (~v100(constB186)))),
% 28.45/19.01 inference(transitivity,[status(thm)],[25910, 25908])).
% 28.45/19.01 tff(25912,plain,
% 28.45/19.01 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB186, 1) | (~v100(constB186)) | (~v129(constB186, 1)))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(25913,plain,
% 28.45/19.01 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB186, 1) | (~v129(constB186, 1)) | (~v100(constB186))),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25912, 25911])).
% 28.45/19.01 tff(25914,plain,
% 28.45/19.01 (v90(constB186, 1) | (~v100(constB186))),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25913, 885, 25907])).
% 28.45/19.01 tff(25915,plain,
% 28.45/19.01 (v90(constB186, 1)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25914, 25844])).
% 28.45/19.01 tff(25916,plain,
% 28.45/19.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB186, 1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB186, 1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 1))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25917,plain,
% 28.45/19.01 (((~nextState(constB186, constB187)) | (~v90(constB186, 1)) | v100(constB187) | v90(constB187, 1)) <=> ((~v90(constB186, 1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 1))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25918,plain,
% 28.45/19.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB186, constB187)) | (~v90(constB186, 1)) | v100(constB187) | v90(constB187, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB186, 1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 1)))),
% 28.45/19.01 inference(monotonicity,[status(thm)],[25917])).
% 28.45/19.01 tff(25919,plain,
% 28.45/19.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB186, constB187)) | (~v90(constB186, 1)) | v100(constB187) | v90(constB187, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB186, 1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 1))),
% 28.45/19.01 inference(transitivity,[status(thm)],[25918, 25916])).
% 28.45/19.01 tff(25920,plain,
% 28.45/19.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB186, constB187)) | (~v90(constB186, 1)) | v100(constB187) | v90(constB187, 1))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(25921,plain,
% 28.45/19.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB186, 1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 1)),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25920, 25919])).
% 28.45/19.01 tff(25922,plain,
% 28.45/19.01 ((~v90(constB186, 1)) | v100(constB187) | v90(constB187, 1)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25921, 903, 25872])).
% 28.45/19.01 tff(25923,plain,
% 28.45/19.01 ((~v90(constB186, 1)) | v90(constB187, 1)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25922, 25884])).
% 28.45/19.01 tff(25924,plain,
% 28.45/19.01 (v90(constB187, 1)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25923, 25915])).
% 28.45/19.01 tff(25925,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB185)) | (~v90(constB185, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB185)) | (~v90(constB185, 1)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25926,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB185)) | (~v90(constB185, 1)))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(25927,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB185)) | (~v90(constB185, 1))),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25926, 25925])).
% 28.45/19.01 tff(25928,plain,
% 28.45/19.01 (~v120(constB185)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25927, 2141, 25718])).
% 28.45/19.01 tff(25929,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB185)) | (~v90(constB185, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB185)) | (~v90(constB185, 1)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25930,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB185)) | (~v90(constB185, 1)))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(25931,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB185)) | (~v90(constB185, 1))),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25930, 25929])).
% 28.45/19.01 tff(25932,plain,
% 28.45/19.01 (~v124(constB185)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25931, 2097, 25718])).
% 28.45/19.01 tff(25933,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB185)) | v90(constB185, 0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB185)) | v90(constB185, 0))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25934,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB185)) | v90(constB185, 0))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(25935,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB185)) | v90(constB185, 0)),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25934, 25933])).
% 28.45/19.01 tff(25936,plain,
% 28.45/19.01 (~v122(constB185)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25935, 3757, 25752])).
% 28.45/19.01 tff(25937,assumption,(~v130(constB185, 0)), introduced(assumption)).
% 28.45/19.01 tff(25938,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB185)) | v130(constB185, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB185)) | v130(constB185, 0))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25939,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB185)) | v130(constB185, 0))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(25940,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB185)) | v130(constB185, 0)),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25939, 25938])).
% 28.45/19.01 tff(25941,plain,
% 28.45/19.01 (~v119(constB185)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25940, 598, 25937])).
% 28.45/19.01 tff(25942,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB185)) | v130(constB185, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB185)) | v130(constB185, 0))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25943,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB185)) | v130(constB185, 0))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(25944,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB185)) | v130(constB185, 0)),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25943, 25942])).
% 28.45/19.01 tff(25945,plain,
% 28.45/19.01 (~v123(constB185)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25944, 1753, 25937])).
% 28.45/19.01 tff(25946,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB185)) | v130(constB185, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB185)) | v130(constB185, 0))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25947,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB185)) | v130(constB185, 0))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(25948,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB185)) | v130(constB185, 0)),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25947, 25946])).
% 28.45/19.01 tff(25949,plain,
% 28.45/19.01 (~v121(constB185)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25948, 1099, 25937])).
% 28.45/19.01 tff(25950,assumption,(~v120(constB185)), introduced(assumption)).
% 28.45/19.01 tff(25951,assumption,(~v122(constB185)), introduced(assumption)).
% 28.45/19.01 tff(25952,assumption,(~v124(constB185)), introduced(assumption)).
% 28.45/19.01 tff(25953,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | v130(constB185, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | v130(constB185, 0))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25954,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | v130(constB185, 0))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(25955,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB185) | v120(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | v130(constB185, 0)),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25954, 25953])).
% 28.45/19.01 tff(25956,plain,
% 28.45/19.01 (v119(constB185) | v121(constB185) | v123(constB185) | v130(constB185, 0)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25955, 2258, 25952, 25951, 25950])).
% 28.45/19.01 tff(25957,plain,
% 28.45/19.01 ($false),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25956, 25949, 25945, 25937, 25941])).
% 28.45/19.01 tff(25958,plain,(v130(constB185, 0) | v124(constB185) | v122(constB185) | v120(constB185)), inference(lemma,lemma(discharge,[]))).
% 28.45/19.01 tff(25959,plain,
% 28.45/19.01 (v130(constB185, 0)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25958, 25936, 25932, 25928])).
% 28.45/19.01 tff(25960,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB185) | (~v130(constB185, 0)) | v127(constB185, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB185) | (~v130(constB185, 0)) | v127(constB185, 0))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25961,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB185) | (~v130(constB185, 0)) | v127(constB185, 0))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(25962,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB185) | (~v130(constB185, 0)) | v127(constB185, 0)),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25961, 25960])).
% 28.45/19.01 tff(25963,plain,
% 28.45/19.01 ((~v130(constB185, 0)) | v127(constB185, 0)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25962, 612, 25792])).
% 28.45/19.01 tff(25964,plain,
% 28.45/19.01 (v127(constB185, 0)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25963, 25959])).
% 28.45/19.01 tff(25965,plain,
% 28.45/19.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB185, constB186)) | (~v127(constB185, 0)) | v129(constB186, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB185, constB186)) | (~v127(constB185, 0)) | v129(constB186, 0))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25966,plain,
% 28.45/19.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB185, constB186)) | (~v127(constB185, 0)) | v129(constB186, 0))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(25967,plain,
% 28.45/19.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB185, constB186)) | (~v127(constB185, 0)) | v129(constB186, 0)),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25966, 25965])).
% 28.45/19.01 tff(25968,plain,
% 28.45/19.01 ((~v127(constB185, 0)) | v129(constB186, 0)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25967, 627, 25810])).
% 28.45/19.01 tff(25969,plain,
% 28.45/19.01 (v129(constB186, 0)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25968, 25964])).
% 28.45/19.01 tff(25970,plain,
% 28.45/19.01 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB186, 0) | (~v129(constB186, 0)) | (~v100(constB186)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB186, 0) | (~v129(constB186, 0)) | (~v100(constB186)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25971,plain,
% 28.45/19.01 ((v90(constB186, 0) | (~v100(constB186)) | (~v129(constB186, 0))) <=> (v90(constB186, 0) | (~v129(constB186, 0)) | (~v100(constB186)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25972,plain,
% 28.45/19.01 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB186, 0) | (~v100(constB186)) | (~v129(constB186, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB186, 0) | (~v129(constB186, 0)) | (~v100(constB186))))),
% 28.45/19.01 inference(monotonicity,[status(thm)],[25971])).
% 28.45/19.01 tff(25973,plain,
% 28.45/19.01 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB186, 0) | (~v100(constB186)) | (~v129(constB186, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB186, 0) | (~v129(constB186, 0)) | (~v100(constB186)))),
% 28.45/19.01 inference(transitivity,[status(thm)],[25972, 25970])).
% 28.45/19.01 tff(25974,plain,
% 28.45/19.01 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB186, 0) | (~v100(constB186)) | (~v129(constB186, 0)))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(25975,plain,
% 28.45/19.01 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB186, 0) | (~v129(constB186, 0)) | (~v100(constB186))),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25974, 25973])).
% 28.45/19.01 tff(25976,plain,
% 28.45/19.01 (v90(constB186, 0) | (~v100(constB186))),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25975, 642, 25969])).
% 28.45/19.01 tff(25977,plain,
% 28.45/19.01 (v90(constB186, 0)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25976, 25844])).
% 28.45/19.01 tff(25978,plain,
% 28.45/19.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB186, 0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB186, 0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 0))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25979,plain,
% 28.45/19.01 (((~nextState(constB186, constB187)) | (~v90(constB186, 0)) | v100(constB187) | v90(constB187, 0)) <=> ((~v90(constB186, 0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 0))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25980,plain,
% 28.45/19.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, 0)) | v100(constB187) | v90(constB187, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB186, 0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 0)))),
% 28.45/19.01 inference(monotonicity,[status(thm)],[25979])).
% 28.45/19.01 tff(25981,plain,
% 28.45/19.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, 0)) | v100(constB187) | v90(constB187, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB186, 0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 0))),
% 28.45/19.01 inference(transitivity,[status(thm)],[25980, 25978])).
% 28.45/19.01 tff(25982,plain,
% 28.45/19.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, 0)) | v100(constB187) | v90(constB187, 0))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(25983,plain,
% 28.45/19.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB186, 0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 0)),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25982, 25981])).
% 28.45/19.01 tff(25984,plain,
% 28.45/19.01 ((~v90(constB186, 0)) | v100(constB187) | v90(constB187, 0)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25983, 660, 25872])).
% 28.45/19.01 tff(25985,plain,
% 28.45/19.01 ((~v90(constB186, 0)) | v90(constB187, 0)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25984, 25884])).
% 28.45/19.01 tff(25986,plain,
% 28.45/19.01 (v90(constB187, 0)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25985, 25977])).
% 28.45/19.01 tff(25987,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB187, 0)) | (~v90(constB187, 1)) | v90(constB187, 2) | v122(constB187))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB187, 0)) | (~v90(constB187, 1)) | v90(constB187, 2) | v122(constB187))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25988,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB187, 0)) | (~v90(constB187, 1)) | v90(constB187, 2) | v122(constB187))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(25989,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB187, 0)) | (~v90(constB187, 1)) | v90(constB187, 2) | v122(constB187)),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25988, 25987])).
% 28.45/19.01 tff(25990,plain,
% 28.45/19.01 (v122(constB187)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25989, 1260, 25986, 25924, 25893])).
% 28.45/19.01 tff(25991,assumption,(v122(constB187)), introduced(assumption)).
% 28.45/19.01 tff(25992,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB187) | (~v122(constB187)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB187) | (~v122(constB187)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25993,plain,
% 28.45/19.01 (((~v122(constB187)) | v116(constB187)) <=> (v116(constB187) | (~v122(constB187)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(25994,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB187)) | v116(constB187))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB187) | (~v122(constB187))))),
% 28.45/19.01 inference(monotonicity,[status(thm)],[25993])).
% 28.45/19.01 tff(25995,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB187)) | v116(constB187))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB187) | (~v122(constB187)))),
% 28.45/19.01 inference(transitivity,[status(thm)],[25994, 25992])).
% 28.45/19.01 tff(25996,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB187)) | v116(constB187))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(25997,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB187) | (~v122(constB187))),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[25996, 25995])).
% 28.45/19.01 tff(25998,plain,
% 28.45/19.01 (v116(constB187)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[25997, 1272, 25991])).
% 28.45/19.01 tff(25999,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB187) | (~v116(constB187)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB187) | (~v116(constB187)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(26000,plain,
% 28.45/19.01 (((~v116(constB187)) | v115(constB187)) <=> (v115(constB187) | (~v116(constB187)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(26001,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB187)) | v115(constB187))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB187) | (~v116(constB187))))),
% 28.45/19.01 inference(monotonicity,[status(thm)],[26000])).
% 28.45/19.01 tff(26002,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB187)) | v115(constB187))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB187) | (~v116(constB187)))),
% 28.45/19.01 inference(transitivity,[status(thm)],[26001, 25999])).
% 28.45/19.01 tff(26003,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB187)) | v115(constB187))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(26004,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB187) | (~v116(constB187))),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[26003, 26002])).
% 28.45/19.01 tff(26005,plain,
% 28.45/19.01 (v115(constB187)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[26004, 286, 25998])).
% 28.45/19.01 tff(26006,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB187) | (~v115(constB187)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB187) | (~v115(constB187)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(26007,plain,
% 28.45/19.01 (((~v115(constB187)) | v114(constB187)) <=> (v114(constB187) | (~v115(constB187)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(26008,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB187)) | v114(constB187))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB187) | (~v115(constB187))))),
% 28.45/19.01 inference(monotonicity,[status(thm)],[26007])).
% 28.45/19.01 tff(26009,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB187)) | v114(constB187))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB187) | (~v115(constB187)))),
% 28.45/19.01 inference(transitivity,[status(thm)],[26008, 26006])).
% 28.45/19.01 tff(26010,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB187)) | v114(constB187))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(26011,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB187) | (~v115(constB187))),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[26010, 26009])).
% 28.45/19.01 tff(26012,plain,
% 28.45/19.01 (v114(constB187)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[26011, 300, 26005])).
% 28.45/19.01 tff(26013,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB187) | (~v114(constB187)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB187) | (~v114(constB187)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(26014,plain,
% 28.45/19.01 (((~v114(constB187)) | v113(constB187)) <=> (v113(constB187) | (~v114(constB187)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(26015,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB187)) | v113(constB187))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB187) | (~v114(constB187))))),
% 28.45/19.01 inference(monotonicity,[status(thm)],[26014])).
% 28.45/19.01 tff(26016,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB187)) | v113(constB187))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB187) | (~v114(constB187)))),
% 28.45/19.01 inference(transitivity,[status(thm)],[26015, 26013])).
% 28.45/19.01 tff(26017,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB187)) | v113(constB187))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(26018,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB187) | (~v114(constB187))),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[26017, 26016])).
% 28.45/19.01 tff(26019,plain,
% 28.45/19.01 (v113(constB187)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[26018, 314, 26012])).
% 28.45/19.01 tff(26020,assumption,(v26(constB187)), introduced(assumption)).
% 28.45/19.01 tff(26021,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB187))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(26022,plain,
% 28.45/19.01 ($false),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[26021, 95, 26020])).
% 28.45/19.01 tff(26023,plain,(~v26(constB187)), inference(lemma,lemma(discharge,[]))).
% 28.45/19.01 tff(26024,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | v112(constB187) | (~v113(constB187)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | v112(constB187) | (~v113(constB187)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(26025,plain,
% 28.45/19.01 ((v26(constB187) | (~v113(constB187)) | v112(constB187)) <=> (v26(constB187) | v112(constB187) | (~v113(constB187)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(26026,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | v112(constB187) | (~v113(constB187))))),
% 28.45/19.01 inference(monotonicity,[status(thm)],[26025])).
% 28.45/19.01 tff(26027,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | v112(constB187) | (~v113(constB187)))),
% 28.45/19.01 inference(transitivity,[status(thm)],[26026, 26024])).
% 28.45/19.01 tff(26028,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))),
% 28.45/19.01 inference(quant_inst,[status(thm)],[])).
% 28.45/19.01 tff(26029,plain,
% 28.45/19.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | v112(constB187) | (~v113(constB187))),
% 28.45/19.01 inference(modus_ponens,[status(thm)],[26028, 26027])).
% 28.45/19.01 tff(26030,plain,
% 28.45/19.01 (v112(constB187) | (~v113(constB187))),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[26029, 328, 26023])).
% 28.45/19.01 tff(26031,plain,
% 28.45/19.01 (v112(constB187)),
% 28.45/19.01 inference(unit_resolution,[status(thm)],[26030, 26019])).
% 28.45/19.01 tff(26032,plain,
% 28.45/19.01 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB187) | (~v112(constB187)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB187) | (~v112(constB187)))),
% 28.45/19.01 inference(rewrite,[status(thm)],[])).
% 28.45/19.01 tff(26033,plain,
% 28.45/19.01 (((~v112(constB187)) | v108(constB187)) <=> (v108(constB187) | (~v112(constB187)))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26034,plain,
% 28.45/19.02 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB187)) | v108(constB187))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB187) | (~v112(constB187))))),
% 28.45/19.02 inference(monotonicity,[status(thm)],[26033])).
% 28.45/19.02 tff(26035,plain,
% 28.45/19.02 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB187)) | v108(constB187))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB187) | (~v112(constB187)))),
% 28.45/19.02 inference(transitivity,[status(thm)],[26034, 26032])).
% 28.45/19.02 tff(26036,plain,
% 28.45/19.02 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB187)) | v108(constB187))),
% 28.45/19.02 inference(quant_inst,[status(thm)],[])).
% 28.45/19.02 tff(26037,plain,
% 28.45/19.02 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB187) | (~v112(constB187))),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26036, 26035])).
% 28.45/19.02 tff(26038,plain,
% 28.45/19.02 (v108(constB187)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26037, 340, 26031])).
% 28.45/19.02 tff(26039,plain,
% 28.45/19.02 (nextState(constB187, constB188) <=> nextState(constB187, constB188)),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26040,axiom,(nextState(constB187, constB188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_187_1')).
% 28.45/19.02 tff(26041,plain,
% 28.45/19.02 (nextState(constB187, constB188)),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26040, 26039])).
% 28.45/19.02 tff(26042,plain,
% 28.45/19.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26043,plain,
% 28.45/19.02 (((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188)) <=> ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26044,plain,
% 28.45/19.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187))))),
% 28.45/19.02 inference(monotonicity,[status(thm)],[26043])).
% 28.45/19.02 tff(26045,plain,
% 28.45/19.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 28.45/19.02 inference(transitivity,[status(thm)],[26044, 26042])).
% 28.45/19.02 tff(26046,plain,
% 28.45/19.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))),
% 28.45/19.02 inference(quant_inst,[status(thm)],[])).
% 28.45/19.02 tff(26047,plain,
% 28.45/19.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187))),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26046, 26045])).
% 28.45/19.02 tff(26048,plain,
% 28.45/19.02 (v110(constB188) | (~v108(constB187))),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26047, 360, 26041])).
% 28.45/19.02 tff(26049,plain,
% 28.45/19.02 (v110(constB188)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26048, 26038])).
% 28.45/19.02 tff(26050,plain,
% 28.45/19.02 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26051,plain,
% 28.45/19.02 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))),
% 28.45/19.02 inference(quant_inst,[status(thm)],[])).
% 28.45/19.02 tff(26052,plain,
% 28.45/19.02 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188))),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26051, 26050])).
% 28.45/19.02 tff(26053,plain,
% 28.45/19.02 (~v104(constB188)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26052, 378, 26041, 25869])).
% 28.45/19.02 tff(26054,plain,
% 28.45/19.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26055,plain,
% 28.45/19.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))),
% 28.45/19.02 inference(quant_inst,[status(thm)],[])).
% 28.45/19.02 tff(26056,plain,
% 28.45/19.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB187, constB188)) | v102(constB188) | v104(constB188)),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26055, 26054])).
% 28.45/19.02 tff(26057,plain,
% 28.45/19.02 (v102(constB188) | v104(constB188)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26056, 392, 26041])).
% 28.45/19.02 tff(26058,plain,
% 28.45/19.02 (v102(constB188)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26057, 26053])).
% 28.45/19.02 tff(26059,plain,
% 28.45/19.02 (v1(constB188) <=> v1(constB188)),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26060,axiom,(v1(constB188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_188_1')).
% 28.45/19.02 tff(26061,plain,
% 28.45/19.02 (v1(constB188)),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26060, 26059])).
% 28.45/19.02 tff(26062,plain,
% 28.45/19.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26063,plain,
% 28.45/19.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))),
% 28.45/19.02 inference(quant_inst,[status(thm)],[])).
% 28.45/19.02 tff(26064,plain,
% 28.45/19.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188))),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26063, 26062])).
% 28.45/19.02 tff(26065,plain,
% 28.45/19.02 (v101(constB188) | (~v102(constB188))),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26064, 410, 26041, 26061])).
% 28.45/19.02 tff(26066,plain,
% 28.45/19.02 (v101(constB188)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26065, 26058])).
% 28.45/19.02 tff(26067,plain,
% 28.45/19.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26068,plain,
% 28.45/19.02 (((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188)) <=> ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26069,plain,
% 28.45/19.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188))))),
% 28.45/19.02 inference(monotonicity,[status(thm)],[26068])).
% 28.45/19.02 tff(26070,plain,
% 28.45/19.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 28.45/19.02 inference(transitivity,[status(thm)],[26069, 26067])).
% 28.45/19.02 tff(26071,plain,
% 28.45/19.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))),
% 28.45/19.02 inference(quant_inst,[status(thm)],[])).
% 28.45/19.02 tff(26072,plain,
% 28.45/19.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188))),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26071, 26070])).
% 28.45/19.02 tff(26073,plain,
% 28.45/19.02 (v100(constB188) | (~v101(constB188)) | (~v110(constB188))),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26072, 425, 26041])).
% 28.45/19.02 tff(26074,plain,
% 28.45/19.02 (v100(constB188) | (~v110(constB188))),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26073, 26066])).
% 28.45/19.02 tff(26075,plain,
% 28.45/19.02 (v100(constB188)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26074, 26049])).
% 28.45/19.02 tff(26076,plain,
% 28.45/19.02 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB187)) | v130(constB187, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB187)) | v130(constB187, 2))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26077,plain,
% 28.45/19.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB187)) | v130(constB187, 2))),
% 28.45/19.02 inference(quant_inst,[status(thm)],[])).
% 28.45/19.02 tff(26078,plain,
% 28.45/19.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB187)) | v130(constB187, 2)),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26077, 26076])).
% 28.45/19.02 tff(26079,plain,
% 28.45/19.02 (v130(constB187, 2)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26078, 1484, 25991])).
% 28.45/19.02 tff(26080,plain,
% 28.45/19.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB187) | (~v130(constB187, 2)) | v127(constB187, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB187) | (~v130(constB187, 2)) | v127(constB187, 2))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26081,plain,
% 28.45/19.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB187) | (~v130(constB187, 2)) | v127(constB187, 2))),
% 28.45/19.02 inference(quant_inst,[status(thm)],[])).
% 28.45/19.02 tff(26082,plain,
% 28.45/19.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB187) | (~v130(constB187, 2)) | v127(constB187, 2)),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26081, 26080])).
% 28.45/19.02 tff(26083,plain,
% 28.45/19.02 ((~v130(constB187, 2)) | v127(constB187, 2)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26082, 1498, 26023])).
% 28.45/19.02 tff(26084,plain,
% 28.45/19.02 (v127(constB187, 2)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26083, 26079])).
% 28.45/19.02 tff(26085,plain,
% 28.45/19.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB187, constB188)) | (~v127(constB187, 2)) | v129(constB188, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB187, constB188)) | (~v127(constB187, 2)) | v129(constB188, 2))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26086,plain,
% 28.45/19.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB187, constB188)) | (~v127(constB187, 2)) | v129(constB188, 2))),
% 28.45/19.02 inference(quant_inst,[status(thm)],[])).
% 28.45/19.02 tff(26087,plain,
% 28.45/19.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB187, constB188)) | (~v127(constB187, 2)) | v129(constB188, 2)),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26086, 26085])).
% 28.45/19.02 tff(26088,plain,
% 28.45/19.02 ((~v127(constB187, 2)) | v129(constB188, 2)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26087, 1513, 26041])).
% 28.45/19.02 tff(26089,plain,
% 28.45/19.02 (v129(constB188, 2)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26088, 26084])).
% 28.45/19.02 tff(26090,plain,
% 28.45/19.02 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB188, 2) | (~v129(constB188, 2)) | (~v100(constB188)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB188, 2) | (~v129(constB188, 2)) | (~v100(constB188)))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26091,plain,
% 28.45/19.02 ((v90(constB188, 2) | (~v100(constB188)) | (~v129(constB188, 2))) <=> (v90(constB188, 2) | (~v129(constB188, 2)) | (~v100(constB188)))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26092,plain,
% 28.45/19.02 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB188, 2) | (~v100(constB188)) | (~v129(constB188, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB188, 2) | (~v129(constB188, 2)) | (~v100(constB188))))),
% 28.45/19.02 inference(monotonicity,[status(thm)],[26091])).
% 28.45/19.02 tff(26093,plain,
% 28.45/19.02 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB188, 2) | (~v100(constB188)) | (~v129(constB188, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB188, 2) | (~v129(constB188, 2)) | (~v100(constB188)))),
% 28.45/19.02 inference(transitivity,[status(thm)],[26092, 26090])).
% 28.45/19.02 tff(26094,plain,
% 28.45/19.02 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB188, 2) | (~v100(constB188)) | (~v129(constB188, 2)))),
% 28.45/19.02 inference(quant_inst,[status(thm)],[])).
% 28.45/19.02 tff(26095,plain,
% 28.45/19.02 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB188, 2) | (~v129(constB188, 2)) | (~v100(constB188))),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26094, 26093])).
% 28.45/19.02 tff(26096,plain,
% 28.45/19.02 (v90(constB188, 2) | (~v100(constB188))),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26095, 1528, 26089])).
% 28.45/19.02 tff(26097,plain,
% 28.45/19.02 (v90(constB188, 2)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26096, 26075])).
% 28.45/19.02 tff(26098,plain,
% 28.45/19.02 ((~v1(constB189)) <=> (~v1(constB189))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26099,axiom,(~v1(constB189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_189_1_1')).
% 28.45/19.02 tff(26100,plain,
% 28.45/19.02 (~v1(constB189)),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26099, 26098])).
% 28.45/19.02 tff(26101,plain,
% 28.45/19.02 (nextState(constB188, constB189) <=> nextState(constB188, constB189)),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26102,axiom,(nextState(constB188, constB189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_188_1')).
% 28.45/19.02 tff(26103,plain,
% 28.45/19.02 (nextState(constB188, constB189)),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26102, 26101])).
% 28.45/19.02 tff(26104,plain,
% 28.45/19.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26105,plain,
% 28.45/19.02 (((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189)) <=> (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26106,plain,
% 28.45/19.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189))))),
% 28.45/19.02 inference(monotonicity,[status(thm)],[26105])).
% 28.45/19.02 tff(26107,plain,
% 28.45/19.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 28.45/19.02 inference(transitivity,[status(thm)],[26106, 26104])).
% 28.45/19.02 tff(26108,plain,
% 28.45/19.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))),
% 28.45/19.02 inference(quant_inst,[status(thm)],[])).
% 28.45/19.02 tff(26109,plain,
% 28.45/19.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189))),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26108, 26107])).
% 28.45/19.02 tff(26110,plain,
% 28.45/19.02 (~v101(constB189)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26109, 138, 26103, 26100])).
% 28.45/19.02 tff(26111,plain,
% 28.45/19.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26112,plain,
% 28.45/19.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))),
% 28.45/19.02 inference(quant_inst,[status(thm)],[])).
% 28.45/19.02 tff(26113,plain,
% 28.45/19.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189))),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26112, 26111])).
% 28.45/19.02 tff(26114,plain,
% 28.45/19.02 (v101(constB189) | (~v100(constB189))),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26113, 155, 26103])).
% 28.45/19.02 tff(26115,plain,
% 28.45/19.02 (~v100(constB189)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26114, 26110])).
% 28.45/19.02 tff(26116,plain,
% 28.45/19.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB188, 2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB188, 2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, 2))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26117,plain,
% 28.45/19.02 (((~nextState(constB188, constB189)) | (~v90(constB188, 2)) | v100(constB189) | v90(constB189, 2)) <=> ((~v90(constB188, 2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, 2))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26118,plain,
% 28.45/19.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB188, constB189)) | (~v90(constB188, 2)) | v100(constB189) | v90(constB189, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB188, 2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, 2)))),
% 28.45/19.02 inference(monotonicity,[status(thm)],[26117])).
% 28.45/19.02 tff(26119,plain,
% 28.45/19.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB188, constB189)) | (~v90(constB188, 2)) | v100(constB189) | v90(constB189, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB188, 2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, 2))),
% 28.45/19.02 inference(transitivity,[status(thm)],[26118, 26116])).
% 28.45/19.02 tff(26120,plain,
% 28.45/19.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB188, constB189)) | (~v90(constB188, 2)) | v100(constB189) | v90(constB189, 2))),
% 28.45/19.02 inference(quant_inst,[status(thm)],[])).
% 28.45/19.02 tff(26121,plain,
% 28.45/19.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB188, 2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, 2)),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26120, 26119])).
% 28.45/19.02 tff(26122,plain,
% 28.45/19.02 ((~v90(constB188, 2)) | v100(constB189) | v90(constB189, 2)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26121, 1546, 26103])).
% 28.45/19.02 tff(26123,plain,
% 28.45/19.02 ((~v90(constB188, 2)) | v90(constB189, 2)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26122, 26115])).
% 28.45/19.02 tff(26124,plain,
% 28.45/19.02 (v90(constB189, 2)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26123, 26097])).
% 28.45/19.02 tff(26125,plain,
% 28.45/19.02 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB187)) | (~v130(constB187, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB187)) | (~v130(constB187, 0)))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26126,plain,
% 28.45/19.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB187)) | (~v130(constB187, 0)))),
% 28.45/19.02 inference(quant_inst,[status(thm)],[])).
% 28.45/19.02 tff(26127,plain,
% 28.45/19.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB187)) | (~v130(constB187, 0))),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26126, 26125])).
% 28.45/19.02 tff(26128,plain,
% 28.45/19.02 (~v130(constB187, 0)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26127, 1351, 25991])).
% 28.45/19.02 tff(26129,plain,
% 28.45/19.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB187, 0)) | v26(constB187) | v130(constB187, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB187, 0)) | v26(constB187) | v130(constB187, 0))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26130,plain,
% 28.45/19.02 ((v26(constB187) | v130(constB187, 0) | (~v127(constB187, 0))) <=> ((~v127(constB187, 0)) | v26(constB187) | v130(constB187, 0))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26131,plain,
% 28.45/19.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB187) | v130(constB187, 0) | (~v127(constB187, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB187, 0)) | v26(constB187) | v130(constB187, 0)))),
% 28.45/19.02 inference(monotonicity,[status(thm)],[26130])).
% 28.45/19.02 tff(26132,plain,
% 28.45/19.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB187) | v130(constB187, 0) | (~v127(constB187, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB187, 0)) | v26(constB187) | v130(constB187, 0))),
% 28.45/19.02 inference(transitivity,[status(thm)],[26131, 26129])).
% 28.45/19.02 tff(26133,plain,
% 28.45/19.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB187) | v130(constB187, 0) | (~v127(constB187, 0)))),
% 28.45/19.02 inference(quant_inst,[status(thm)],[])).
% 28.45/19.02 tff(26134,plain,
% 28.45/19.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB187, 0)) | v26(constB187) | v130(constB187, 0)),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26133, 26132])).
% 28.45/19.02 tff(26135,plain,
% 28.45/19.02 ((~v127(constB187, 0)) | v130(constB187, 0)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26134, 933, 26023])).
% 28.45/19.02 tff(26136,plain,
% 28.45/19.02 (~v127(constB187, 0)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26135, 26128])).
% 28.45/19.02 tff(26137,plain,
% 28.45/19.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB187, constB188)) | v127(constB187, 0) | (~v129(constB188, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB187, constB188)) | v127(constB187, 0) | (~v129(constB188, 0)))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26138,plain,
% 28.45/19.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB187, constB188)) | v127(constB187, 0) | (~v129(constB188, 0)))),
% 28.45/19.02 inference(quant_inst,[status(thm)],[])).
% 28.45/19.02 tff(26139,plain,
% 28.45/19.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB187, constB188)) | v127(constB187, 0) | (~v129(constB188, 0))),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26138, 26137])).
% 28.45/19.02 tff(26140,plain,
% 28.45/19.02 (v127(constB187, 0) | (~v129(constB188, 0))),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26139, 951, 26041])).
% 28.45/19.02 tff(26141,plain,
% 28.45/19.02 (~v129(constB188, 0)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26140, 26136])).
% 28.45/19.02 tff(26142,plain,
% 28.45/19.02 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB188, 0)) | v129(constB188, 0) | (~v100(constB188)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB188, 0)) | v129(constB188, 0) | (~v100(constB188)))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26143,plain,
% 28.45/19.02 (((~v90(constB188, 0)) | (~v100(constB188)) | v129(constB188, 0)) <=> ((~v90(constB188, 0)) | v129(constB188, 0) | (~v100(constB188)))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26144,plain,
% 28.45/19.02 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB188, 0)) | (~v100(constB188)) | v129(constB188, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB188, 0)) | v129(constB188, 0) | (~v100(constB188))))),
% 28.45/19.02 inference(monotonicity,[status(thm)],[26143])).
% 28.45/19.02 tff(26145,plain,
% 28.45/19.02 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB188, 0)) | (~v100(constB188)) | v129(constB188, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB188, 0)) | v129(constB188, 0) | (~v100(constB188)))),
% 28.45/19.02 inference(transitivity,[status(thm)],[26144, 26142])).
% 28.45/19.02 tff(26146,plain,
% 28.45/19.02 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB188, 0)) | (~v100(constB188)) | v129(constB188, 0))),
% 28.45/19.02 inference(quant_inst,[status(thm)],[])).
% 28.45/19.02 tff(26147,plain,
% 28.45/19.02 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB188, 0)) | v129(constB188, 0) | (~v100(constB188))),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26146, 26145])).
% 28.45/19.02 tff(26148,plain,
% 28.45/19.02 ((~v90(constB188, 0)) | (~v100(constB188))),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26147, 966, 26141])).
% 28.45/19.02 tff(26149,plain,
% 28.45/19.02 (~v90(constB188, 0)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26148, 26075])).
% 28.45/19.02 tff(26150,plain,
% 28.45/19.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB188, 0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB188, 0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 0)))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26151,plain,
% 28.45/19.02 (((~nextState(constB188, constB189)) | v90(constB188, 0) | v100(constB189) | (~v90(constB189, 0))) <=> (v90(constB188, 0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 0)))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26152,plain,
% 28.45/19.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB188, constB189)) | v90(constB188, 0) | v100(constB189) | (~v90(constB189, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB188, 0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 0))))),
% 28.45/19.02 inference(monotonicity,[status(thm)],[26151])).
% 28.45/19.02 tff(26153,plain,
% 28.45/19.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB188, constB189)) | v90(constB188, 0) | v100(constB189) | (~v90(constB189, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB188, 0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 0)))),
% 28.45/19.02 inference(transitivity,[status(thm)],[26152, 26150])).
% 28.45/19.02 tff(26154,plain,
% 28.45/19.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB188, constB189)) | v90(constB188, 0) | v100(constB189) | (~v90(constB189, 0)))),
% 28.45/19.02 inference(quant_inst,[status(thm)],[])).
% 28.45/19.02 tff(26155,plain,
% 28.45/19.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB188, 0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 0))),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26154, 26153])).
% 28.45/19.02 tff(26156,plain,
% 28.45/19.02 (v90(constB188, 0) | v100(constB189) | (~v90(constB189, 0))),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26155, 212, 26103])).
% 28.45/19.02 tff(26157,plain,
% 28.45/19.02 (v90(constB188, 0) | (~v90(constB189, 0))),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26156, 26115])).
% 28.45/19.02 tff(26158,plain,
% 28.45/19.02 (~v90(constB189, 0)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26157, 26149])).
% 28.45/19.02 tff(26159,plain,
% 28.45/19.02 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB187)) | (~v130(constB187, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB187)) | (~v130(constB187, 1)))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26160,plain,
% 28.45/19.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB187)) | (~v130(constB187, 1)))),
% 28.45/19.02 inference(quant_inst,[status(thm)],[])).
% 28.45/19.02 tff(26161,plain,
% 28.45/19.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB187)) | (~v130(constB187, 1))),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26160, 26159])).
% 28.45/19.02 tff(26162,plain,
% 28.45/19.02 (~v130(constB187, 1)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26161, 1424, 25991])).
% 28.45/19.02 tff(26163,plain,
% 28.45/19.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB187, 1)) | v26(constB187) | v130(constB187, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB187, 1)) | v26(constB187) | v130(constB187, 1))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26164,plain,
% 28.45/19.02 ((v26(constB187) | v130(constB187, 1) | (~v127(constB187, 1))) <=> ((~v127(constB187, 1)) | v26(constB187) | v130(constB187, 1))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26165,plain,
% 28.45/19.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB187) | v130(constB187, 1) | (~v127(constB187, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB187, 1)) | v26(constB187) | v130(constB187, 1)))),
% 28.45/19.02 inference(monotonicity,[status(thm)],[26164])).
% 28.45/19.02 tff(26166,plain,
% 28.45/19.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB187) | v130(constB187, 1) | (~v127(constB187, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB187, 1)) | v26(constB187) | v130(constB187, 1))),
% 28.45/19.02 inference(transitivity,[status(thm)],[26165, 26163])).
% 28.45/19.02 tff(26167,plain,
% 28.45/19.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB187) | v130(constB187, 1) | (~v127(constB187, 1)))),
% 28.45/19.02 inference(quant_inst,[status(thm)],[])).
% 28.45/19.02 tff(26168,plain,
% 28.45/19.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB187, 1)) | v26(constB187) | v130(constB187, 1)),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26167, 26166])).
% 28.45/19.02 tff(26169,plain,
% 28.45/19.02 ((~v127(constB187, 1)) | v130(constB187, 1)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26168, 541, 26023])).
% 28.45/19.02 tff(26170,plain,
% 28.45/19.02 (~v127(constB187, 1)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26169, 26162])).
% 28.45/19.02 tff(26171,plain,
% 28.45/19.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB187, constB188)) | v127(constB187, 1) | (~v129(constB188, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB187, constB188)) | v127(constB187, 1) | (~v129(constB188, 1)))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26172,plain,
% 28.45/19.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB187, constB188)) | v127(constB187, 1) | (~v129(constB188, 1)))),
% 28.45/19.02 inference(quant_inst,[status(thm)],[])).
% 28.45/19.02 tff(26173,plain,
% 28.45/19.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB187, constB188)) | v127(constB187, 1) | (~v129(constB188, 1))),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26172, 26171])).
% 28.45/19.02 tff(26174,plain,
% 28.45/19.02 (v127(constB187, 1) | (~v129(constB188, 1))),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26173, 559, 26041])).
% 28.45/19.02 tff(26175,plain,
% 28.45/19.02 (~v129(constB188, 1)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26174, 26170])).
% 28.45/19.02 tff(26176,plain,
% 28.45/19.02 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB188, 1)) | v129(constB188, 1) | (~v100(constB188)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB188, 1)) | v129(constB188, 1) | (~v100(constB188)))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26177,plain,
% 28.45/19.02 (((~v90(constB188, 1)) | (~v100(constB188)) | v129(constB188, 1)) <=> ((~v90(constB188, 1)) | v129(constB188, 1) | (~v100(constB188)))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26178,plain,
% 28.45/19.02 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB188, 1)) | (~v100(constB188)) | v129(constB188, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB188, 1)) | v129(constB188, 1) | (~v100(constB188))))),
% 28.45/19.02 inference(monotonicity,[status(thm)],[26177])).
% 28.45/19.02 tff(26179,plain,
% 28.45/19.02 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB188, 1)) | (~v100(constB188)) | v129(constB188, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB188, 1)) | v129(constB188, 1) | (~v100(constB188)))),
% 28.45/19.02 inference(transitivity,[status(thm)],[26178, 26176])).
% 28.45/19.02 tff(26180,plain,
% 28.45/19.02 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB188, 1)) | (~v100(constB188)) | v129(constB188, 1))),
% 28.45/19.02 inference(quant_inst,[status(thm)],[])).
% 28.45/19.02 tff(26181,plain,
% 28.45/19.02 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB188, 1)) | v129(constB188, 1) | (~v100(constB188))),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26180, 26179])).
% 28.45/19.02 tff(26182,plain,
% 28.45/19.02 ((~v90(constB188, 1)) | (~v100(constB188))),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26181, 574, 26175])).
% 28.45/19.02 tff(26183,plain,
% 28.45/19.02 (~v90(constB188, 1)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26182, 26075])).
% 28.45/19.02 tff(26184,plain,
% 28.45/19.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB188, 1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB188, 1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 1)))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26185,plain,
% 28.45/19.02 (((~nextState(constB188, constB189)) | v90(constB188, 1) | v100(constB189) | (~v90(constB189, 1))) <=> (v90(constB188, 1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 1)))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26186,plain,
% 28.45/19.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB188, constB189)) | v90(constB188, 1) | v100(constB189) | (~v90(constB189, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB188, 1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 1))))),
% 28.45/19.02 inference(monotonicity,[status(thm)],[26185])).
% 28.45/19.02 tff(26187,plain,
% 28.45/19.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB188, constB189)) | v90(constB188, 1) | v100(constB189) | (~v90(constB189, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB188, 1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 1)))),
% 28.45/19.02 inference(transitivity,[status(thm)],[26186, 26184])).
% 28.45/19.02 tff(26188,plain,
% 28.45/19.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB188, constB189)) | v90(constB188, 1) | v100(constB189) | (~v90(constB189, 1)))),
% 28.45/19.02 inference(quant_inst,[status(thm)],[])).
% 28.45/19.02 tff(26189,plain,
% 28.45/19.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB188, 1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 1))),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26188, 26187])).
% 28.45/19.02 tff(26190,plain,
% 28.45/19.02 (v90(constB188, 1) | v100(constB189) | (~v90(constB189, 1))),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26189, 191, 26103])).
% 28.45/19.02 tff(26191,plain,
% 28.45/19.02 (v90(constB188, 1) | (~v90(constB189, 1))),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26190, 26115])).
% 28.45/19.02 tff(26192,plain,
% 28.45/19.02 (~v90(constB189, 1)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26191, 26183])).
% 28.45/19.02 tff(26193,assumption,(~v123(constB189)), introduced(assumption)).
% 28.45/19.02 tff(26194,plain,
% 28.45/19.02 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB189, 0) | v90(constB189, 1) | (~v90(constB189, 2)) | v123(constB189))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB189, 0) | v90(constB189, 1) | (~v90(constB189, 2)) | v123(constB189))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26195,plain,
% 28.45/19.02 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB189, 0) | v90(constB189, 1) | (~v90(constB189, 2)) | v123(constB189))),
% 28.45/19.02 inference(quant_inst,[status(thm)],[])).
% 28.45/19.02 tff(26196,plain,
% 28.45/19.02 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB189, 0) | v90(constB189, 1) | (~v90(constB189, 2)) | v123(constB189)),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26195, 26194])).
% 28.45/19.02 tff(26197,plain,
% 28.45/19.02 (v90(constB189, 0) | v90(constB189, 1) | (~v90(constB189, 2))),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26196, 1565, 26193])).
% 28.45/19.02 tff(26198,plain,
% 28.45/19.02 ($false),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26197, 26192, 26158, 26124])).
% 28.45/19.02 tff(26199,plain,((~v122(constB187)) | v123(constB189)), inference(lemma,lemma(discharge,[]))).
% 28.45/19.02 tff(26200,plain,
% 28.45/19.02 (v123(constB189)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26199, 25990])).
% 28.45/19.02 tff(26201,plain,
% 28.45/19.02 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB189)) | v115(constB189))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB189)) | v115(constB189))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26202,plain,
% 28.45/19.02 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB189)) | v115(constB189))),
% 28.45/19.02 inference(quant_inst,[status(thm)],[])).
% 28.45/19.02 tff(26203,plain,
% 28.45/19.02 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB189)) | v115(constB189)),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26202, 26201])).
% 28.45/19.02 tff(26204,plain,
% 28.45/19.02 (v115(constB189)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26203, 1579, 26200])).
% 28.45/19.02 tff(26205,plain,
% 28.45/19.02 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB189) | (~v115(constB189)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB189) | (~v115(constB189)))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26206,plain,
% 28.45/19.02 (((~v115(constB189)) | v114(constB189)) <=> (v114(constB189) | (~v115(constB189)))),
% 28.45/19.02 inference(rewrite,[status(thm)],[])).
% 28.45/19.02 tff(26207,plain,
% 28.45/19.02 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB189)) | v114(constB189))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB189) | (~v115(constB189))))),
% 28.45/19.02 inference(monotonicity,[status(thm)],[26206])).
% 28.45/19.02 tff(26208,plain,
% 28.45/19.02 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB189)) | v114(constB189))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB189) | (~v115(constB189)))),
% 28.45/19.02 inference(transitivity,[status(thm)],[26207, 26205])).
% 28.45/19.02 tff(26209,plain,
% 28.45/19.02 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB189)) | v114(constB189))),
% 28.45/19.02 inference(quant_inst,[status(thm)],[])).
% 28.45/19.02 tff(26210,plain,
% 28.45/19.02 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB189) | (~v115(constB189))),
% 28.45/19.02 inference(modus_ponens,[status(thm)],[26209, 26208])).
% 28.45/19.02 tff(26211,plain,
% 28.45/19.02 (v114(constB189)),
% 28.45/19.02 inference(unit_resolution,[status(thm)],[26210, 300, 26204])).
% 28.45/19.03 tff(26212,plain,
% 28.45/19.03 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB189) | (~v114(constB189)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB189) | (~v114(constB189)))),
% 28.45/19.03 inference(rewrite,[status(thm)],[])).
% 28.45/19.03 tff(26213,plain,
% 28.45/19.03 (((~v114(constB189)) | v113(constB189)) <=> (v113(constB189) | (~v114(constB189)))),
% 28.45/19.03 inference(rewrite,[status(thm)],[])).
% 28.45/19.03 tff(26214,plain,
% 28.45/19.03 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB189)) | v113(constB189))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB189) | (~v114(constB189))))),
% 28.45/19.03 inference(monotonicity,[status(thm)],[26213])).
% 28.45/19.03 tff(26215,plain,
% 28.45/19.03 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB189)) | v113(constB189))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB189) | (~v114(constB189)))),
% 28.45/19.03 inference(transitivity,[status(thm)],[26214, 26212])).
% 28.45/19.03 tff(26216,plain,
% 28.45/19.03 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB189)) | v113(constB189))),
% 28.45/19.03 inference(quant_inst,[status(thm)],[])).
% 28.45/19.03 tff(26217,plain,
% 28.45/19.03 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB189) | (~v114(constB189))),
% 28.45/19.03 inference(modus_ponens,[status(thm)],[26216, 26215])).
% 28.45/19.03 tff(26218,plain,
% 28.45/19.03 (v113(constB189)),
% 28.45/19.03 inference(unit_resolution,[status(thm)],[26217, 314, 26211])).
% 28.45/19.03 tff(26219,assumption,(~v108(constB189)), introduced(assumption)).
% 28.45/19.03 tff(26220,plain,
% 28.45/19.03 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB189) | (~v112(constB189)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB189) | (~v112(constB189)))),
% 28.45/19.03 inference(rewrite,[status(thm)],[])).
% 28.45/19.03 tff(26221,plain,
% 28.45/19.03 (((~v112(constB189)) | v108(constB189)) <=> (v108(constB189) | (~v112(constB189)))),
% 28.45/19.03 inference(rewrite,[status(thm)],[])).
% 28.45/19.03 tff(26222,plain,
% 28.45/19.03 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB189)) | v108(constB189))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB189) | (~v112(constB189))))),
% 28.45/19.03 inference(monotonicity,[status(thm)],[26221])).
% 28.45/19.03 tff(26223,plain,
% 28.45/19.03 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB189)) | v108(constB189))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB189) | (~v112(constB189)))),
% 28.45/19.03 inference(transitivity,[status(thm)],[26222, 26220])).
% 28.45/19.03 tff(26224,plain,
% 28.45/19.03 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB189)) | v108(constB189))),
% 28.45/19.03 inference(quant_inst,[status(thm)],[])).
% 28.45/19.03 tff(26225,plain,
% 28.45/19.03 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB189) | (~v112(constB189))),
% 28.45/19.03 inference(modus_ponens,[status(thm)],[26224, 26223])).
% 28.45/19.03 tff(26226,plain,
% 28.45/19.03 (~v112(constB189)),
% 28.45/19.03 inference(unit_resolution,[status(thm)],[26225, 340, 26219])).
% 28.45/19.03 tff(26227,plain,
% 28.45/19.03 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB189) | (~v26(constB189)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB189) | (~v26(constB189)))),
% 28.45/19.03 inference(rewrite,[status(thm)],[])).
% 28.45/19.03 tff(26228,plain,
% 28.45/19.03 (((~v26(constB189)) | v108(constB189)) <=> (v108(constB189) | (~v26(constB189)))),
% 28.45/19.03 inference(rewrite,[status(thm)],[])).
% 28.45/19.03 tff(26229,plain,
% 28.45/19.03 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB189)) | v108(constB189))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB189) | (~v26(constB189))))),
% 28.45/19.03 inference(monotonicity,[status(thm)],[26228])).
% 28.45/19.03 tff(26230,plain,
% 28.45/19.03 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB189)) | v108(constB189))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB189) | (~v26(constB189)))),
% 28.45/19.03 inference(transitivity,[status(thm)],[26229, 26227])).
% 28.45/19.03 tff(26231,plain,
% 28.45/19.03 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB189)) | v108(constB189))),
% 28.45/19.03 inference(quant_inst,[status(thm)],[])).
% 28.45/19.03 tff(26232,plain,
% 28.45/19.03 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB189) | (~v26(constB189))),
% 28.45/19.03 inference(modus_ponens,[status(thm)],[26231, 26230])).
% 28.45/19.03 tff(26233,plain,
% 28.45/19.03 (~v26(constB189)),
% 28.45/19.03 inference(unit_resolution,[status(thm)],[26232, 6750, 26219])).
% 28.45/19.03 tff(26234,assumption,(v113(constB189)), introduced(assumption)).
% 28.45/19.03 tff(26235,plain,
% 28.45/19.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | v112(constB189) | (~v113(constB189)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB189) | v112(constB189) | (~v113(constB189)))),
% 28.45/19.03 inference(rewrite,[status(thm)],[])).
% 28.45/19.03 tff(26236,plain,
% 28.45/19.03 ((v26(constB189) | (~v113(constB189)) | v112(constB189)) <=> (v26(constB189) | v112(constB189) | (~v113(constB189)))),
% 28.45/19.03 inference(rewrite,[status(thm)],[])).
% 28.45/19.03 tff(26237,plain,
% 28.45/19.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | (~v113(constB189)) | v112(constB189))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | v112(constB189) | (~v113(constB189))))),
% 28.45/19.03 inference(monotonicity,[status(thm)],[26236])).
% 28.45/19.03 tff(26238,plain,
% 28.45/19.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | (~v113(constB189)) | v112(constB189))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB189) | v112(constB189) | (~v113(constB189)))),
% 28.45/19.03 inference(transitivity,[status(thm)],[26237, 26235])).
% 28.45/19.03 tff(26239,plain,
% 28.45/19.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | (~v113(constB189)) | v112(constB189))),
% 28.45/19.03 inference(quant_inst,[status(thm)],[])).
% 28.45/19.03 tff(26240,plain,
% 28.45/19.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB189) | v112(constB189) | (~v113(constB189))),
% 28.45/19.03 inference(modus_ponens,[status(thm)],[26239, 26238])).
% 28.45/19.03 tff(26241,plain,
% 28.45/19.03 (v26(constB189) | v112(constB189)),
% 28.45/19.03 inference(unit_resolution,[status(thm)],[26240, 328, 26234])).
% 28.45/19.03 tff(26242,plain,
% 28.45/19.03 ($false),
% 28.45/19.03 inference(unit_resolution,[status(thm)],[26241, 26233, 26226])).
% 28.45/19.03 tff(26243,plain,(v108(constB189) | (~v113(constB189))), inference(lemma,lemma(discharge,[]))).
% 28.45/19.03 tff(26244,plain,
% 28.45/19.03 (v108(constB189)),
% 28.45/19.03 inference(unit_resolution,[status(thm)],[26243, 26218])).
% 28.45/19.03 tff(26245,plain,
% 28.45/19.03 (nextState(constB189, constB190) <=> nextState(constB189, constB190)),
% 28.45/19.03 inference(rewrite,[status(thm)],[])).
% 28.45/19.03 tff(26246,axiom,(nextState(constB189, constB190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_189_1')).
% 28.45/19.03 tff(26247,plain,
% 28.45/19.03 (nextState(constB189, constB190)),
% 28.45/19.03 inference(modus_ponens,[status(thm)],[26246, 26245])).
% 28.45/19.03 tff(26248,plain,
% 28.45/19.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 28.45/19.03 inference(rewrite,[status(thm)],[])).
% 28.45/19.03 tff(26249,plain,
% 28.45/19.03 (((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190)) <=> ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 28.45/19.03 inference(rewrite,[status(thm)],[])).
% 28.45/19.03 tff(26250,plain,
% 28.45/19.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189))))),
% 28.45/19.03 inference(monotonicity,[status(thm)],[26249])).
% 28.45/19.03 tff(26251,plain,
% 28.45/19.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 28.45/19.03 inference(transitivity,[status(thm)],[26250, 26248])).
% 28.45/19.03 tff(26252,plain,
% 28.45/19.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))),
% 28.45/19.03 inference(quant_inst,[status(thm)],[])).
% 28.45/19.03 tff(26253,plain,
% 28.45/19.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189))),
% 28.45/19.03 inference(modus_ponens,[status(thm)],[26252, 26251])).
% 28.45/19.03 tff(26254,plain,
% 28.45/19.03 (v110(constB190) | (~v108(constB189))),
% 28.45/19.03 inference(unit_resolution,[status(thm)],[26253, 360, 26247])).
% 28.45/19.03 tff(26255,plain,
% 28.45/19.03 (v110(constB190)),
% 28.45/19.03 inference(unit_resolution,[status(thm)],[26254, 26244])).
% 28.45/19.03 tff(26256,plain,
% 28.45/19.03 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))),
% 28.45/19.03 inference(rewrite,[status(thm)],[])).
% 28.45/19.03 tff(26257,plain,
% 28.45/19.03 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))),
% 28.45/19.03 inference(quant_inst,[status(thm)],[])).
% 28.45/19.03 tff(26258,plain,
% 28.45/19.03 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190))),
% 28.45/19.03 inference(modus_ponens,[status(thm)],[26257, 26256])).
% 28.45/19.03 tff(26259,plain,
% 28.45/19.03 (~v104(constB190)),
% 28.45/19.03 inference(unit_resolution,[status(thm)],[26258, 378, 26247, 26100])).
% 28.45/19.03 tff(26260,plain,
% 28.45/19.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))),
% 28.45/19.03 inference(rewrite,[status(thm)],[])).
% 28.45/19.03 tff(26261,plain,
% 28.45/19.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))),
% 28.45/19.03 inference(quant_inst,[status(thm)],[])).
% 28.45/19.03 tff(26262,plain,
% 28.45/19.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB189, constB190)) | v102(constB190) | v104(constB190)),
% 28.45/19.03 inference(modus_ponens,[status(thm)],[26261, 26260])).
% 28.45/19.03 tff(26263,plain,
% 28.45/19.03 (v102(constB190) | v104(constB190)),
% 28.45/19.03 inference(unit_resolution,[status(thm)],[26262, 392, 26247])).
% 28.45/19.03 tff(26264,plain,
% 28.45/19.03 (v102(constB190)),
% 28.45/19.03 inference(unit_resolution,[status(thm)],[26263, 26259])).
% 28.45/19.03 tff(26265,plain,
% 28.45/19.03 (v1(constB190) <=> v1(constB190)),
% 28.45/19.03 inference(rewrite,[status(thm)],[])).
% 28.45/19.03 tff(26266,axiom,(v1(constB190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_190_1')).
% 28.45/19.03 tff(26267,plain,
% 28.45/19.03 (v1(constB190)),
% 28.45/19.03 inference(modus_ponens,[status(thm)],[26266, 26265])).
% 28.45/19.03 tff(26268,plain,
% 28.45/19.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))),
% 28.45/19.03 inference(rewrite,[status(thm)],[])).
% 28.45/19.03 tff(26269,plain,
% 28.45/19.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))),
% 28.45/19.03 inference(quant_inst,[status(thm)],[])).
% 28.45/19.03 tff(26270,plain,
% 28.45/19.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190))),
% 28.45/19.03 inference(modus_ponens,[status(thm)],[26269, 26268])).
% 28.45/19.03 tff(26271,plain,
% 28.45/19.03 (v101(constB190) | (~v102(constB190))),
% 28.45/19.03 inference(unit_resolution,[status(thm)],[26270, 410, 26247, 26267])).
% 28.45/19.03 tff(26272,plain,
% 28.45/19.03 (v101(constB190)),
% 28.45/19.03 inference(unit_resolution,[status(thm)],[26271, 26264])).
% 28.45/19.03 tff(26273,plain,
% 28.45/19.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 28.45/19.03 inference(rewrite,[status(thm)],[])).
% 28.45/19.03 tff(26274,plain,
% 28.45/19.03 (((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190)) <=> ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 28.45/19.03 inference(rewrite,[status(thm)],[])).
% 28.45/19.03 tff(26275,plain,
% 28.45/19.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190))))),
% 28.45/19.03 inference(monotonicity,[status(thm)],[26274])).
% 28.45/19.03 tff(26276,plain,
% 28.45/19.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 28.45/19.03 inference(transitivity,[status(thm)],[26275, 26273])).
% 28.45/19.03 tff(26277,plain,
% 28.45/19.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))),
% 28.45/19.03 inference(quant_inst,[status(thm)],[])).
% 28.45/19.03 tff(26278,plain,
% 28.45/19.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190))),
% 28.45/19.03 inference(modus_ponens,[status(thm)],[26277, 26276])).
% 28.45/19.03 tff(26279,plain,
% 28.45/19.03 (v100(constB190) | (~v101(constB190)) | (~v110(constB190))),
% 28.45/19.03 inference(unit_resolution,[status(thm)],[26278, 425, 26247])).
% 28.45/19.03 tff(26280,plain,
% 28.45/19.03 (v100(constB190) | (~v110(constB190))),
% 28.45/19.03 inference(unit_resolution,[status(thm)],[26279, 26272])).
% 28.45/19.03 tff(26281,plain,
% 28.45/19.03 (v100(constB190)),
% 28.45/19.03 inference(unit_resolution,[status(thm)],[26280, 26255])).
% 28.45/19.03 tff(26282,plain,
% 28.45/19.03 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB189)) | v130(constB189, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB189)) | v130(constB189, 2))),
% 28.45/19.03 inference(rewrite,[status(thm)],[])).
% 28.45/19.03 tff(26283,plain,
% 28.45/19.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB189)) | v130(constB189, 2))),
% 28.45/19.03 inference(quant_inst,[status(thm)],[])).
% 28.45/19.03 tff(26284,plain,
% 28.45/19.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB189)) | v130(constB189, 2)),
% 28.45/19.03 inference(modus_ponens,[status(thm)],[26283, 26282])).
% 28.45/19.03 tff(26285,plain,
% 28.45/19.03 (v130(constB189, 2)),
% 28.45/19.03 inference(unit_resolution,[status(thm)],[26284, 1656, 26200])).
% 28.45/19.03 tff(26286,assumption,(v26(constB189)), introduced(assumption)).
% 28.45/19.03 tff(26287,plain,
% 28.45/19.03 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB189))),
% 28.45/19.03 inference(quant_inst,[status(thm)],[])).
% 28.45/19.03 tff(26288,plain,
% 28.45/19.03 ($false),
% 28.45/19.03 inference(unit_resolution,[status(thm)],[26287, 95, 26286])).
% 28.45/19.03 tff(26289,plain,(~v26(constB189)), inference(lemma,lemma(discharge,[]))).
% 28.45/19.03 tff(26290,plain,
% 28.45/19.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB189) | (~v130(constB189, 2)) | v127(constB189, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB189) | (~v130(constB189, 2)) | v127(constB189, 2))),
% 28.45/19.03 inference(rewrite,[status(thm)],[])).
% 28.45/19.03 tff(26291,plain,
% 28.45/19.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB189) | (~v130(constB189, 2)) | v127(constB189, 2))),
% 28.45/19.03 inference(quant_inst,[status(thm)],[])).
% 28.45/19.03 tff(26292,plain,
% 28.45/19.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB189) | (~v130(constB189, 2)) | v127(constB189, 2)),
% 28.45/19.03 inference(modus_ponens,[status(thm)],[26291, 26290])).
% 28.45/19.03 tff(26293,plain,
% 28.45/19.03 ((~v130(constB189, 2)) | v127(constB189, 2)),
% 28.45/19.03 inference(unit_resolution,[status(thm)],[26292, 1498, 26289])).
% 28.45/19.03 tff(26294,plain,
% 28.45/19.03 (v127(constB189, 2)),
% 28.45/19.03 inference(unit_resolution,[status(thm)],[26293, 26285])).
% 28.45/19.03 tff(26295,plain,
% 28.45/19.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB189, constB190)) | (~v127(constB189, 2)) | v129(constB190, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB189, constB190)) | (~v127(constB189, 2)) | v129(constB190, 2))),
% 28.45/19.03 inference(rewrite,[status(thm)],[])).
% 28.45/19.03 tff(26296,plain,
% 28.45/19.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB189, constB190)) | (~v127(constB189, 2)) | v129(constB190, 2))),
% 28.45/19.03 inference(quant_inst,[status(thm)],[])).
% 28.45/19.03 tff(26297,plain,
% 28.45/19.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB189, constB190)) | (~v127(constB189, 2)) | v129(constB190, 2)),
% 28.45/19.03 inference(modus_ponens,[status(thm)],[26296, 26295])).
% 28.45/19.03 tff(26298,plain,
% 28.45/19.03 ((~v127(constB189, 2)) | v129(constB190, 2)),
% 28.45/19.03 inference(unit_resolution,[status(thm)],[26297, 1513, 26247])).
% 28.45/19.03 tff(26299,plain,
% 28.45/19.03 (v129(constB190, 2)),
% 28.45/19.03 inference(unit_resolution,[status(thm)],[26298, 26294])).
% 28.45/19.03 tff(26300,plain,
% 28.45/19.03 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB190, 2) | (~v129(constB190, 2)) | (~v100(constB190)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB190, 2) | (~v129(constB190, 2)) | (~v100(constB190)))),
% 28.45/19.03 inference(rewrite,[status(thm)],[])).
% 28.45/19.03 tff(26301,plain,
% 28.45/19.03 ((v90(constB190, 2) | (~v100(constB190)) | (~v129(constB190, 2))) <=> (v90(constB190, 2) | (~v129(constB190, 2)) | (~v100(constB190)))),
% 28.45/19.03 inference(rewrite,[status(thm)],[])).
% 28.45/19.03 tff(26302,plain,
% 28.45/19.03 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB190, 2) | (~v100(constB190)) | (~v129(constB190, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB190, 2) | (~v129(constB190, 2)) | (~v100(constB190))))),
% 28.51/19.03 inference(monotonicity,[status(thm)],[26301])).
% 28.51/19.03 tff(26303,plain,
% 28.51/19.03 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB190, 2) | (~v100(constB190)) | (~v129(constB190, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB190, 2) | (~v129(constB190, 2)) | (~v100(constB190)))),
% 28.51/19.03 inference(transitivity,[status(thm)],[26302, 26300])).
% 28.51/19.03 tff(26304,plain,
% 28.51/19.03 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB190, 2) | (~v100(constB190)) | (~v129(constB190, 2)))),
% 28.51/19.03 inference(quant_inst,[status(thm)],[])).
% 28.51/19.03 tff(26305,plain,
% 28.51/19.03 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB190, 2) | (~v129(constB190, 2)) | (~v100(constB190))),
% 28.51/19.03 inference(modus_ponens,[status(thm)],[26304, 26303])).
% 28.51/19.03 tff(26306,plain,
% 28.51/19.03 (v90(constB190, 2) | (~v100(constB190))),
% 28.51/19.03 inference(unit_resolution,[status(thm)],[26305, 1528, 26299])).
% 28.51/19.03 tff(26307,plain,
% 28.51/19.03 (v90(constB190, 2)),
% 28.51/19.03 inference(unit_resolution,[status(thm)],[26306, 26281])).
% 28.51/19.03 tff(26308,plain,
% 28.51/19.03 ((~v1(constB191)) <=> (~v1(constB191))),
% 28.51/19.03 inference(rewrite,[status(thm)],[])).
% 28.51/19.03 tff(26309,axiom,(~v1(constB191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_191_1_1')).
% 28.51/19.03 tff(26310,plain,
% 28.51/19.03 (~v1(constB191)),
% 28.51/19.03 inference(modus_ponens,[status(thm)],[26309, 26308])).
% 28.51/19.03 tff(26311,plain,
% 28.51/19.03 (nextState(constB190, constB191) <=> nextState(constB190, constB191)),
% 28.51/19.03 inference(rewrite,[status(thm)],[])).
% 28.51/19.03 tff(26312,axiom,(nextState(constB190, constB191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_190_1')).
% 28.51/19.03 tff(26313,plain,
% 28.51/19.03 (nextState(constB190, constB191)),
% 28.51/19.03 inference(modus_ponens,[status(thm)],[26312, 26311])).
% 28.51/19.03 tff(26314,plain,
% 28.51/19.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 28.51/19.03 inference(rewrite,[status(thm)],[])).
% 28.51/19.03 tff(26315,plain,
% 28.51/19.03 (((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191)) <=> (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 28.51/19.03 inference(rewrite,[status(thm)],[])).
% 28.51/19.03 tff(26316,plain,
% 28.51/19.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191))))),
% 28.51/19.03 inference(monotonicity,[status(thm)],[26315])).
% 28.51/19.03 tff(26317,plain,
% 28.51/19.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 28.51/19.03 inference(transitivity,[status(thm)],[26316, 26314])).
% 28.51/19.03 tff(26318,plain,
% 28.51/19.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))),
% 28.51/19.03 inference(quant_inst,[status(thm)],[])).
% 28.51/19.03 tff(26319,plain,
% 28.51/19.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191))),
% 28.51/19.03 inference(modus_ponens,[status(thm)],[26318, 26317])).
% 28.51/19.03 tff(26320,plain,
% 28.51/19.03 (~v101(constB191)),
% 28.51/19.03 inference(unit_resolution,[status(thm)],[26319, 138, 26313, 26310])).
% 28.51/19.03 tff(26321,plain,
% 28.51/19.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))),
% 28.51/19.03 inference(rewrite,[status(thm)],[])).
% 28.51/19.03 tff(26322,plain,
% 28.51/19.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))),
% 28.51/19.03 inference(quant_inst,[status(thm)],[])).
% 28.51/19.03 tff(26323,plain,
% 28.51/19.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191))),
% 28.51/19.03 inference(modus_ponens,[status(thm)],[26322, 26321])).
% 28.51/19.03 tff(26324,plain,
% 28.51/19.03 (v101(constB191) | (~v100(constB191))),
% 28.51/19.03 inference(unit_resolution,[status(thm)],[26323, 155, 26313])).
% 28.51/19.03 tff(26325,plain,
% 28.51/19.03 (~v100(constB191)),
% 28.51/19.03 inference(unit_resolution,[status(thm)],[26324, 26320])).
% 28.51/19.03 tff(26326,plain,
% 28.51/19.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB190, 2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB190, 2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 2))),
% 28.51/19.03 inference(rewrite,[status(thm)],[])).
% 28.51/19.03 tff(26327,plain,
% 28.51/19.03 (((~nextState(constB190, constB191)) | (~v90(constB190, 2)) | v100(constB191) | v90(constB191, 2)) <=> ((~v90(constB190, 2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 2))),
% 28.51/19.03 inference(rewrite,[status(thm)],[])).
% 28.51/19.03 tff(26328,plain,
% 28.51/19.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB190, constB191)) | (~v90(constB190, 2)) | v100(constB191) | v90(constB191, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB190, 2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 2)))),
% 28.51/19.03 inference(monotonicity,[status(thm)],[26327])).
% 28.51/19.03 tff(26329,plain,
% 28.51/19.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB190, constB191)) | (~v90(constB190, 2)) | v100(constB191) | v90(constB191, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB190, 2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 2))),
% 28.51/19.03 inference(transitivity,[status(thm)],[26328, 26326])).
% 28.51/19.03 tff(26330,plain,
% 28.51/19.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB190, constB191)) | (~v90(constB190, 2)) | v100(constB191) | v90(constB191, 2))),
% 28.51/19.03 inference(quant_inst,[status(thm)],[])).
% 28.51/19.03 tff(26331,plain,
% 28.51/19.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB190, 2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 2)),
% 28.51/19.03 inference(modus_ponens,[status(thm)],[26330, 26329])).
% 28.51/19.03 tff(26332,plain,
% 28.51/19.03 ((~v90(constB190, 2)) | v100(constB191) | v90(constB191, 2)),
% 28.51/19.03 inference(unit_resolution,[status(thm)],[26331, 1546, 26313])).
% 28.51/19.03 tff(26333,plain,
% 28.51/19.03 ((~v90(constB190, 2)) | v90(constB191, 2)),
% 28.51/19.03 inference(unit_resolution,[status(thm)],[26332, 26325])).
% 28.51/19.03 tff(26334,plain,
% 28.51/19.03 (v90(constB191, 2)),
% 28.51/19.03 inference(unit_resolution,[status(thm)],[26333, 26307])).
% 28.51/19.03 tff(26335,plain,
% 28.51/19.03 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB189)) | (~v130(constB189, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB189)) | (~v130(constB189, 1)))),
% 28.51/19.03 inference(rewrite,[status(thm)],[])).
% 28.51/19.03 tff(26336,plain,
% 28.51/19.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB189)) | (~v130(constB189, 1)))),
% 28.51/19.03 inference(quant_inst,[status(thm)],[])).
% 28.51/19.03 tff(26337,plain,
% 28.51/19.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB189)) | (~v130(constB189, 1))),
% 28.51/19.03 inference(modus_ponens,[status(thm)],[26336, 26335])).
% 28.51/19.03 tff(26338,plain,
% 28.51/19.03 (~v130(constB189, 1)),
% 28.51/19.03 inference(unit_resolution,[status(thm)],[26337, 1712, 26200])).
% 28.51/19.03 tff(26339,plain,
% 28.51/19.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB189, 1)) | v26(constB189) | v130(constB189, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB189, 1)) | v26(constB189) | v130(constB189, 1))),
% 28.51/19.03 inference(rewrite,[status(thm)],[])).
% 28.51/19.03 tff(26340,plain,
% 28.51/19.03 ((v26(constB189) | v130(constB189, 1) | (~v127(constB189, 1))) <=> ((~v127(constB189, 1)) | v26(constB189) | v130(constB189, 1))),
% 28.51/19.03 inference(rewrite,[status(thm)],[])).
% 28.51/19.03 tff(26341,plain,
% 28.51/19.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB189) | v130(constB189, 1) | (~v127(constB189, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB189, 1)) | v26(constB189) | v130(constB189, 1)))),
% 28.51/19.03 inference(monotonicity,[status(thm)],[26340])).
% 28.51/19.03 tff(26342,plain,
% 28.51/19.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB189) | v130(constB189, 1) | (~v127(constB189, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB189, 1)) | v26(constB189) | v130(constB189, 1))),
% 28.51/19.03 inference(transitivity,[status(thm)],[26341, 26339])).
% 28.51/19.03 tff(26343,plain,
% 28.51/19.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB189) | v130(constB189, 1) | (~v127(constB189, 1)))),
% 28.51/19.03 inference(quant_inst,[status(thm)],[])).
% 28.51/19.03 tff(26344,plain,
% 28.51/19.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB189, 1)) | v26(constB189) | v130(constB189, 1)),
% 28.51/19.03 inference(modus_ponens,[status(thm)],[26343, 26342])).
% 28.51/19.03 tff(26345,plain,
% 28.51/19.03 ((~v127(constB189, 1)) | v130(constB189, 1)),
% 28.51/19.03 inference(unit_resolution,[status(thm)],[26344, 541, 26289])).
% 28.51/19.03 tff(26346,plain,
% 28.51/19.03 (~v127(constB189, 1)),
% 28.51/19.03 inference(unit_resolution,[status(thm)],[26345, 26338])).
% 28.51/19.03 tff(26347,plain,
% 28.51/19.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB189, constB190)) | v127(constB189, 1) | (~v129(constB190, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB189, constB190)) | v127(constB189, 1) | (~v129(constB190, 1)))),
% 28.51/19.03 inference(rewrite,[status(thm)],[])).
% 28.51/19.03 tff(26348,plain,
% 28.51/19.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB189, constB190)) | v127(constB189, 1) | (~v129(constB190, 1)))),
% 28.51/19.03 inference(quant_inst,[status(thm)],[])).
% 28.51/19.03 tff(26349,plain,
% 28.51/19.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB189, constB190)) | v127(constB189, 1) | (~v129(constB190, 1))),
% 28.51/19.03 inference(modus_ponens,[status(thm)],[26348, 26347])).
% 28.51/19.03 tff(26350,plain,
% 28.51/19.03 (v127(constB189, 1) | (~v129(constB190, 1))),
% 28.51/19.03 inference(unit_resolution,[status(thm)],[26349, 559, 26247])).
% 28.51/19.03 tff(26351,plain,
% 28.51/19.03 (~v129(constB190, 1)),
% 28.51/19.03 inference(unit_resolution,[status(thm)],[26350, 26346])).
% 28.51/19.03 tff(26352,plain,
% 28.51/19.03 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB190, 1)) | v129(constB190, 1) | (~v100(constB190)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB190, 1)) | v129(constB190, 1) | (~v100(constB190)))),
% 28.51/19.03 inference(rewrite,[status(thm)],[])).
% 28.51/19.03 tff(26353,plain,
% 28.51/19.03 (((~v90(constB190, 1)) | (~v100(constB190)) | v129(constB190, 1)) <=> ((~v90(constB190, 1)) | v129(constB190, 1) | (~v100(constB190)))),
% 28.51/19.03 inference(rewrite,[status(thm)],[])).
% 28.51/19.03 tff(26354,plain,
% 28.51/19.03 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB190, 1)) | (~v100(constB190)) | v129(constB190, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB190, 1)) | v129(constB190, 1) | (~v100(constB190))))),
% 28.51/19.03 inference(monotonicity,[status(thm)],[26353])).
% 28.51/19.03 tff(26355,plain,
% 28.51/19.03 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB190, 1)) | (~v100(constB190)) | v129(constB190, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB190, 1)) | v129(constB190, 1) | (~v100(constB190)))),
% 28.51/19.03 inference(transitivity,[status(thm)],[26354, 26352])).
% 28.51/19.03 tff(26356,plain,
% 28.51/19.03 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB190, 1)) | (~v100(constB190)) | v129(constB190, 1))),
% 28.51/19.03 inference(quant_inst,[status(thm)],[])).
% 28.51/19.03 tff(26357,plain,
% 28.51/19.03 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB190, 1)) | v129(constB190, 1) | (~v100(constB190))),
% 28.51/19.03 inference(modus_ponens,[status(thm)],[26356, 26355])).
% 28.51/19.03 tff(26358,plain,
% 28.51/19.03 ((~v90(constB190, 1)) | (~v100(constB190))),
% 28.51/19.03 inference(unit_resolution,[status(thm)],[26357, 574, 26351])).
% 28.51/19.03 tff(26359,plain,
% 28.51/19.03 (~v90(constB190, 1)),
% 28.51/19.03 inference(unit_resolution,[status(thm)],[26358, 26281])).
% 28.51/19.03 tff(26360,plain,
% 28.51/19.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB190, 1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB190, 1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, 1)))),
% 28.51/19.03 inference(rewrite,[status(thm)],[])).
% 28.51/19.03 tff(26361,plain,
% 28.51/19.03 (((~nextState(constB190, constB191)) | v90(constB190, 1) | v100(constB191) | (~v90(constB191, 1))) <=> (v90(constB190, 1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, 1)))),
% 28.51/19.03 inference(rewrite,[status(thm)],[])).
% 28.51/19.03 tff(26362,plain,
% 28.51/19.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB190, constB191)) | v90(constB190, 1) | v100(constB191) | (~v90(constB191, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB190, 1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, 1))))),
% 28.51/19.03 inference(monotonicity,[status(thm)],[26361])).
% 28.51/19.03 tff(26363,plain,
% 28.51/19.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB190, constB191)) | v90(constB190, 1) | v100(constB191) | (~v90(constB191, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB190, 1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, 1)))),
% 28.51/19.03 inference(transitivity,[status(thm)],[26362, 26360])).
% 28.51/19.03 tff(26364,plain,
% 28.51/19.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB190, constB191)) | v90(constB190, 1) | v100(constB191) | (~v90(constB191, 1)))),
% 28.51/19.03 inference(quant_inst,[status(thm)],[])).
% 28.51/19.03 tff(26365,plain,
% 28.51/19.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB190, 1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, 1))),
% 28.51/19.03 inference(modus_ponens,[status(thm)],[26364, 26363])).
% 28.51/19.03 tff(26366,plain,
% 28.51/19.03 (v90(constB190, 1) | v100(constB191) | (~v90(constB191, 1))),
% 28.51/19.03 inference(unit_resolution,[status(thm)],[26365, 191, 26313])).
% 28.51/19.03 tff(26367,plain,
% 28.51/19.03 (v90(constB190, 1) | (~v90(constB191, 1))),
% 28.51/19.03 inference(unit_resolution,[status(thm)],[26366, 26325])).
% 28.51/19.03 tff(26368,plain,
% 28.51/19.03 (~v90(constB191, 1)),
% 28.51/19.03 inference(unit_resolution,[status(thm)],[26367, 26359])).
% 28.51/19.03 tff(26369,plain,
% 28.51/19.03 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB189)) | v130(constB189, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB189)) | v130(constB189, 0))),
% 28.51/19.03 inference(rewrite,[status(thm)],[])).
% 28.51/19.03 tff(26370,plain,
% 28.51/19.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB189)) | v130(constB189, 0))),
% 28.51/19.03 inference(quant_inst,[status(thm)],[])).
% 28.51/19.03 tff(26371,plain,
% 28.51/19.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB189)) | v130(constB189, 0)),
% 28.51/19.03 inference(modus_ponens,[status(thm)],[26370, 26369])).
% 28.51/19.03 tff(26372,plain,
% 28.51/19.03 (v130(constB189, 0)),
% 28.51/19.03 inference(unit_resolution,[status(thm)],[26371, 1753, 26200])).
% 28.51/19.03 tff(26373,plain,
% 28.51/19.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB189) | (~v130(constB189, 0)) | v127(constB189, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB189) | (~v130(constB189, 0)) | v127(constB189, 0))),
% 28.51/19.03 inference(rewrite,[status(thm)],[])).
% 28.51/19.03 tff(26374,plain,
% 28.51/19.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB189) | (~v130(constB189, 0)) | v127(constB189, 0))),
% 28.51/19.03 inference(quant_inst,[status(thm)],[])).
% 28.51/19.03 tff(26375,plain,
% 28.51/19.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB189) | (~v130(constB189, 0)) | v127(constB189, 0)),
% 28.51/19.03 inference(modus_ponens,[status(thm)],[26374, 26373])).
% 28.51/19.03 tff(26376,plain,
% 28.51/19.03 ((~v130(constB189, 0)) | v127(constB189, 0)),
% 28.51/19.03 inference(unit_resolution,[status(thm)],[26375, 612, 26289])).
% 28.51/19.03 tff(26377,plain,
% 28.51/19.03 (v127(constB189, 0)),
% 28.51/19.03 inference(unit_resolution,[status(thm)],[26376, 26372])).
% 28.51/19.03 tff(26378,plain,
% 28.51/19.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB189, constB190)) | (~v127(constB189, 0)) | v129(constB190, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB189, constB190)) | (~v127(constB189, 0)) | v129(constB190, 0))),
% 28.51/19.03 inference(rewrite,[status(thm)],[])).
% 28.51/19.03 tff(26379,plain,
% 28.51/19.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB189, constB190)) | (~v127(constB189, 0)) | v129(constB190, 0))),
% 28.51/19.03 inference(quant_inst,[status(thm)],[])).
% 28.51/19.03 tff(26380,plain,
% 28.51/19.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB189, constB190)) | (~v127(constB189, 0)) | v129(constB190, 0)),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26379, 26378])).
% 28.51/19.04 tff(26381,plain,
% 28.51/19.04 ((~v127(constB189, 0)) | v129(constB190, 0)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26380, 627, 26247])).
% 28.51/19.04 tff(26382,plain,
% 28.51/19.04 (v129(constB190, 0)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26381, 26377])).
% 28.51/19.04 tff(26383,plain,
% 28.51/19.04 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB190, 0) | (~v129(constB190, 0)) | (~v100(constB190)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB190, 0) | (~v129(constB190, 0)) | (~v100(constB190)))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26384,plain,
% 28.51/19.04 ((v90(constB190, 0) | (~v100(constB190)) | (~v129(constB190, 0))) <=> (v90(constB190, 0) | (~v129(constB190, 0)) | (~v100(constB190)))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26385,plain,
% 28.51/19.04 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB190, 0) | (~v100(constB190)) | (~v129(constB190, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB190, 0) | (~v129(constB190, 0)) | (~v100(constB190))))),
% 28.51/19.04 inference(monotonicity,[status(thm)],[26384])).
% 28.51/19.04 tff(26386,plain,
% 28.51/19.04 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB190, 0) | (~v100(constB190)) | (~v129(constB190, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB190, 0) | (~v129(constB190, 0)) | (~v100(constB190)))),
% 28.51/19.04 inference(transitivity,[status(thm)],[26385, 26383])).
% 28.51/19.04 tff(26387,plain,
% 28.51/19.04 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB190, 0) | (~v100(constB190)) | (~v129(constB190, 0)))),
% 28.51/19.04 inference(quant_inst,[status(thm)],[])).
% 28.51/19.04 tff(26388,plain,
% 28.51/19.04 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB190, 0) | (~v129(constB190, 0)) | (~v100(constB190))),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26387, 26386])).
% 28.51/19.04 tff(26389,plain,
% 28.51/19.04 (v90(constB190, 0) | (~v100(constB190))),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26388, 642, 26382])).
% 28.51/19.04 tff(26390,plain,
% 28.51/19.04 (v90(constB190, 0)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26389, 26281])).
% 28.51/19.04 tff(26391,plain,
% 28.51/19.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB190, 0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB190, 0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 0))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26392,plain,
% 28.51/19.04 (((~nextState(constB190, constB191)) | (~v90(constB190, 0)) | v100(constB191) | v90(constB191, 0)) <=> ((~v90(constB190, 0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 0))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26393,plain,
% 28.51/19.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, 0)) | v100(constB191) | v90(constB191, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB190, 0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 0)))),
% 28.51/19.04 inference(monotonicity,[status(thm)],[26392])).
% 28.51/19.04 tff(26394,plain,
% 28.51/19.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, 0)) | v100(constB191) | v90(constB191, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB190, 0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 0))),
% 28.51/19.04 inference(transitivity,[status(thm)],[26393, 26391])).
% 28.51/19.04 tff(26395,plain,
% 28.51/19.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, 0)) | v100(constB191) | v90(constB191, 0))),
% 28.51/19.04 inference(quant_inst,[status(thm)],[])).
% 28.51/19.04 tff(26396,plain,
% 28.51/19.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB190, 0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 0)),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26395, 26394])).
% 28.51/19.04 tff(26397,plain,
% 28.51/19.04 ((~v90(constB190, 0)) | v100(constB191) | v90(constB191, 0)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26396, 660, 26313])).
% 28.51/19.04 tff(26398,plain,
% 28.51/19.04 ((~v90(constB190, 0)) | v90(constB191, 0)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26397, 26325])).
% 28.51/19.04 tff(26399,plain,
% 28.51/19.04 (v90(constB191, 0)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26398, 26390])).
% 28.51/19.04 tff(26400,plain,
% 28.51/19.04 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB191, 0)) | v90(constB191, 1) | (~v90(constB191, 2)) | v124(constB191))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB191, 0)) | v90(constB191, 1) | (~v90(constB191, 2)) | v124(constB191))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26401,plain,
% 28.51/19.04 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB191, 0)) | v90(constB191, 1) | (~v90(constB191, 2)) | v124(constB191))),
% 28.51/19.04 inference(quant_inst,[status(thm)],[])).
% 28.51/19.04 tff(26402,plain,
% 28.51/19.04 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB191, 0)) | v90(constB191, 1) | (~v90(constB191, 2)) | v124(constB191)),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26401, 26400])).
% 28.51/19.04 tff(26403,plain,
% 28.51/19.04 (v124(constB191)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26402, 1794, 26399, 26368, 26334])).
% 28.51/19.04 tff(26404,plain,
% 28.51/19.04 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB191)) | v114(constB191))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB191)) | v114(constB191))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26405,plain,
% 28.51/19.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB191)) | v114(constB191))),
% 28.51/19.04 inference(quant_inst,[status(thm)],[])).
% 28.51/19.04 tff(26406,plain,
% 28.51/19.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB191)) | v114(constB191)),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26405, 26404])).
% 28.51/19.04 tff(26407,plain,
% 28.51/19.04 (v114(constB191)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26406, 1805, 26403])).
% 28.51/19.04 tff(26408,plain,
% 28.51/19.04 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB191)) | v113(constB191))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB191)) | v113(constB191))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26409,plain,
% 28.51/19.04 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB191)) | v113(constB191))),
% 28.51/19.04 inference(quant_inst,[status(thm)],[])).
% 28.51/19.04 tff(26410,plain,
% 28.51/19.04 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB191)) | v113(constB191)),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26409, 26408])).
% 28.51/19.04 tff(26411,plain,
% 28.51/19.04 (v113(constB191)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26410, 314, 26407])).
% 28.51/19.04 tff(26412,assumption,(v26(constB191)), introduced(assumption)).
% 28.51/19.04 tff(26413,plain,
% 28.51/19.04 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB191))),
% 28.51/19.04 inference(quant_inst,[status(thm)],[])).
% 28.51/19.04 tff(26414,plain,
% 28.51/19.04 ($false),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26413, 95, 26412])).
% 28.51/19.04 tff(26415,plain,(~v26(constB191)), inference(lemma,lemma(discharge,[]))).
% 28.51/19.04 tff(26416,plain,
% 28.51/19.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | v112(constB191) | (~v113(constB191)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB191) | v112(constB191) | (~v113(constB191)))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26417,plain,
% 28.51/19.04 ((v26(constB191) | (~v113(constB191)) | v112(constB191)) <=> (v26(constB191) | v112(constB191) | (~v113(constB191)))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26418,plain,
% 28.51/19.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | (~v113(constB191)) | v112(constB191))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | v112(constB191) | (~v113(constB191))))),
% 28.51/19.04 inference(monotonicity,[status(thm)],[26417])).
% 28.51/19.04 tff(26419,plain,
% 28.51/19.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | (~v113(constB191)) | v112(constB191))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB191) | v112(constB191) | (~v113(constB191)))),
% 28.51/19.04 inference(transitivity,[status(thm)],[26418, 26416])).
% 28.51/19.04 tff(26420,plain,
% 28.51/19.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | (~v113(constB191)) | v112(constB191))),
% 28.51/19.04 inference(quant_inst,[status(thm)],[])).
% 28.51/19.04 tff(26421,plain,
% 28.51/19.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB191) | v112(constB191) | (~v113(constB191))),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26420, 26419])).
% 28.51/19.04 tff(26422,plain,
% 28.51/19.04 (v112(constB191) | (~v113(constB191))),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26421, 328, 26415])).
% 28.51/19.04 tff(26423,plain,
% 28.51/19.04 (v112(constB191)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26422, 26411])).
% 28.51/19.04 tff(26424,plain,
% 28.51/19.04 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB191) | (~v112(constB191)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB191) | (~v112(constB191)))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26425,plain,
% 28.51/19.04 (((~v112(constB191)) | v108(constB191)) <=> (v108(constB191) | (~v112(constB191)))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26426,plain,
% 28.51/19.04 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB191)) | v108(constB191))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB191) | (~v112(constB191))))),
% 28.51/19.04 inference(monotonicity,[status(thm)],[26425])).
% 28.51/19.04 tff(26427,plain,
% 28.51/19.04 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB191)) | v108(constB191))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB191) | (~v112(constB191)))),
% 28.51/19.04 inference(transitivity,[status(thm)],[26426, 26424])).
% 28.51/19.04 tff(26428,plain,
% 28.51/19.04 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB191)) | v108(constB191))),
% 28.51/19.04 inference(quant_inst,[status(thm)],[])).
% 28.51/19.04 tff(26429,plain,
% 28.51/19.04 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB191) | (~v112(constB191))),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26428, 26427])).
% 28.51/19.04 tff(26430,plain,
% 28.51/19.04 (v108(constB191)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26429, 340, 26423])).
% 28.51/19.04 tff(26431,plain,
% 28.51/19.04 (nextState(constB191, constB192) <=> nextState(constB191, constB192)),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26432,axiom,(nextState(constB191, constB192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_191_1')).
% 28.51/19.04 tff(26433,plain,
% 28.51/19.04 (nextState(constB191, constB192)),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26432, 26431])).
% 28.51/19.04 tff(26434,plain,
% 28.51/19.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26435,plain,
% 28.51/19.04 (((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192)) <=> ((~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26436,plain,
% 28.51/19.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191))))),
% 28.51/19.04 inference(monotonicity,[status(thm)],[26435])).
% 28.51/19.04 tff(26437,plain,
% 28.51/19.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))),
% 28.51/19.04 inference(transitivity,[status(thm)],[26436, 26434])).
% 28.51/19.04 tff(26438,plain,
% 28.51/19.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192))),
% 28.51/19.04 inference(quant_inst,[status(thm)],[])).
% 28.51/19.04 tff(26439,plain,
% 28.51/19.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191))),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26438, 26437])).
% 28.51/19.04 tff(26440,plain,
% 28.51/19.04 (v110(constB192) | (~v108(constB191))),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26439, 360, 26433])).
% 28.51/19.04 tff(26441,plain,
% 28.51/19.04 (v110(constB192)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26440, 26430])).
% 28.51/19.04 tff(26442,plain,
% 28.51/19.04 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26443,plain,
% 28.51/19.04 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))),
% 28.51/19.04 inference(quant_inst,[status(thm)],[])).
% 28.51/19.04 tff(26444,plain,
% 28.51/19.04 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192))),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26443, 26442])).
% 28.51/19.04 tff(26445,plain,
% 28.51/19.04 (~v104(constB192)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26444, 378, 26433, 26310])).
% 28.51/19.04 tff(26446,plain,
% 28.51/19.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v102(constB192) | v104(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB191, constB192)) | v102(constB192) | v104(constB192))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26447,plain,
% 28.51/19.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v102(constB192) | v104(constB192))),
% 28.51/19.04 inference(quant_inst,[status(thm)],[])).
% 28.51/19.04 tff(26448,plain,
% 28.51/19.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB191, constB192)) | v102(constB192) | v104(constB192)),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26447, 26446])).
% 28.51/19.04 tff(26449,plain,
% 28.51/19.04 (v102(constB192) | v104(constB192)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26448, 392, 26433])).
% 28.51/19.04 tff(26450,plain,
% 28.51/19.04 (v102(constB192)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26449, 26445])).
% 28.51/19.04 tff(26451,plain,
% 28.51/19.04 (v1(constB192) <=> v1(constB192)),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26452,axiom,(v1(constB192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_192_1')).
% 28.51/19.04 tff(26453,plain,
% 28.51/19.04 (v1(constB192)),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26452, 26451])).
% 28.51/19.04 tff(26454,plain,
% 28.51/19.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26455,plain,
% 28.51/19.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))),
% 28.51/19.04 inference(quant_inst,[status(thm)],[])).
% 28.51/19.04 tff(26456,plain,
% 28.51/19.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192))),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26455, 26454])).
% 28.51/19.04 tff(26457,plain,
% 28.51/19.04 (v101(constB192) | (~v102(constB192))),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26456, 410, 26433, 26453])).
% 28.51/19.04 tff(26458,plain,
% 28.51/19.04 (v101(constB192)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26457, 26450])).
% 28.51/19.04 tff(26459,plain,
% 28.51/19.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26460,plain,
% 28.51/19.04 (((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192)) <=> ((~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26461,plain,
% 28.51/19.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192))))),
% 28.51/19.04 inference(monotonicity,[status(thm)],[26460])).
% 28.51/19.04 tff(26462,plain,
% 28.51/19.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))),
% 28.51/19.04 inference(transitivity,[status(thm)],[26461, 26459])).
% 28.51/19.04 tff(26463,plain,
% 28.51/19.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192))),
% 28.51/19.04 inference(quant_inst,[status(thm)],[])).
% 28.51/19.04 tff(26464,plain,
% 28.51/19.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192))),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26463, 26462])).
% 28.51/19.04 tff(26465,plain,
% 28.51/19.04 (v100(constB192) | (~v101(constB192)) | (~v110(constB192))),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26464, 425, 26433])).
% 28.51/19.04 tff(26466,plain,
% 28.51/19.04 (v100(constB192) | (~v110(constB192))),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26465, 26458])).
% 28.51/19.04 tff(26467,plain,
% 28.51/19.04 (v100(constB192)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26466, 26441])).
% 28.51/19.04 tff(26468,plain,
% 28.51/19.04 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB191)) | v130(constB191, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB191)) | v130(constB191, 2))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26469,plain,
% 28.51/19.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB191)) | v130(constB191, 2))),
% 28.51/19.04 inference(quant_inst,[status(thm)],[])).
% 28.51/19.04 tff(26470,plain,
% 28.51/19.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB191)) | v130(constB191, 2)),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26469, 26468])).
% 28.51/19.04 tff(26471,plain,
% 28.51/19.04 (v130(constB191, 2)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26470, 1873, 26403])).
% 28.51/19.04 tff(26472,plain,
% 28.51/19.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB191) | (~v130(constB191, 2)) | v127(constB191, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB191) | (~v130(constB191, 2)) | v127(constB191, 2))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26473,plain,
% 28.51/19.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB191) | (~v130(constB191, 2)) | v127(constB191, 2))),
% 28.51/19.04 inference(quant_inst,[status(thm)],[])).
% 28.51/19.04 tff(26474,plain,
% 28.51/19.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB191) | (~v130(constB191, 2)) | v127(constB191, 2)),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26473, 26472])).
% 28.51/19.04 tff(26475,plain,
% 28.51/19.04 ((~v130(constB191, 2)) | v127(constB191, 2)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26474, 1498, 26415])).
% 28.51/19.04 tff(26476,plain,
% 28.51/19.04 (v127(constB191, 2)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26475, 26471])).
% 28.51/19.04 tff(26477,plain,
% 28.51/19.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB191, constB192)) | (~v127(constB191, 2)) | v129(constB192, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB191, constB192)) | (~v127(constB191, 2)) | v129(constB192, 2))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26478,plain,
% 28.51/19.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB191, constB192)) | (~v127(constB191, 2)) | v129(constB192, 2))),
% 28.51/19.04 inference(quant_inst,[status(thm)],[])).
% 28.51/19.04 tff(26479,plain,
% 28.51/19.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB191, constB192)) | (~v127(constB191, 2)) | v129(constB192, 2)),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26478, 26477])).
% 28.51/19.04 tff(26480,plain,
% 28.51/19.04 ((~v127(constB191, 2)) | v129(constB192, 2)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26479, 1513, 26433])).
% 28.51/19.04 tff(26481,plain,
% 28.51/19.04 (v129(constB192, 2)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26480, 26476])).
% 28.51/19.04 tff(26482,plain,
% 28.51/19.04 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB192, 2) | (~v129(constB192, 2)) | (~v100(constB192)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB192, 2) | (~v129(constB192, 2)) | (~v100(constB192)))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26483,plain,
% 28.51/19.04 ((v90(constB192, 2) | (~v100(constB192)) | (~v129(constB192, 2))) <=> (v90(constB192, 2) | (~v129(constB192, 2)) | (~v100(constB192)))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26484,plain,
% 28.51/19.04 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB192, 2) | (~v100(constB192)) | (~v129(constB192, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB192, 2) | (~v129(constB192, 2)) | (~v100(constB192))))),
% 28.51/19.04 inference(monotonicity,[status(thm)],[26483])).
% 28.51/19.04 tff(26485,plain,
% 28.51/19.04 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB192, 2) | (~v100(constB192)) | (~v129(constB192, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB192, 2) | (~v129(constB192, 2)) | (~v100(constB192)))),
% 28.51/19.04 inference(transitivity,[status(thm)],[26484, 26482])).
% 28.51/19.04 tff(26486,plain,
% 28.51/19.04 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB192, 2) | (~v100(constB192)) | (~v129(constB192, 2)))),
% 28.51/19.04 inference(quant_inst,[status(thm)],[])).
% 28.51/19.04 tff(26487,plain,
% 28.51/19.04 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB192, 2) | (~v129(constB192, 2)) | (~v100(constB192))),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26486, 26485])).
% 28.51/19.04 tff(26488,plain,
% 28.51/19.04 (v90(constB192, 2) | (~v100(constB192))),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26487, 1528, 26481])).
% 28.51/19.04 tff(26489,plain,
% 28.51/19.04 (v90(constB192, 2)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26488, 26467])).
% 28.51/19.04 tff(26490,plain,
% 28.51/19.04 ((~v1(constB193)) <=> (~v1(constB193))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26491,axiom,(~v1(constB193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_193_1_1')).
% 28.51/19.04 tff(26492,plain,
% 28.51/19.04 (~v1(constB193)),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26491, 26490])).
% 28.51/19.04 tff(26493,plain,
% 28.51/19.04 (nextState(constB192, constB193) <=> nextState(constB192, constB193)),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26494,axiom,(nextState(constB192, constB193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_192_1')).
% 28.51/19.04 tff(26495,plain,
% 28.51/19.04 (nextState(constB192, constB193)),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26494, 26493])).
% 28.51/19.04 tff(26496,plain,
% 28.51/19.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26497,plain,
% 28.51/19.04 (((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193)) <=> (v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26498,plain,
% 28.51/19.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193))))),
% 28.51/19.04 inference(monotonicity,[status(thm)],[26497])).
% 28.51/19.04 tff(26499,plain,
% 28.51/19.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))),
% 28.51/19.04 inference(transitivity,[status(thm)],[26498, 26496])).
% 28.51/19.04 tff(26500,plain,
% 28.51/19.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193))),
% 28.51/19.04 inference(quant_inst,[status(thm)],[])).
% 28.51/19.04 tff(26501,plain,
% 28.51/19.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193))),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26500, 26499])).
% 28.51/19.04 tff(26502,plain,
% 28.51/19.04 (~v101(constB193)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26501, 138, 26495, 26492])).
% 28.51/19.04 tff(26503,plain,
% 28.51/19.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193)))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26504,plain,
% 28.51/19.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193)))),
% 28.51/19.04 inference(quant_inst,[status(thm)],[])).
% 28.51/19.04 tff(26505,plain,
% 28.51/19.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193))),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26504, 26503])).
% 28.51/19.04 tff(26506,plain,
% 28.51/19.04 (v101(constB193) | (~v100(constB193))),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26505, 155, 26495])).
% 28.51/19.04 tff(26507,plain,
% 28.51/19.04 (~v100(constB193)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26506, 26502])).
% 28.51/19.04 tff(26508,plain,
% 28.51/19.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB192, 2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB192, 2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 2))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26509,plain,
% 28.51/19.04 (((~nextState(constB192, constB193)) | (~v90(constB192, 2)) | v100(constB193) | v90(constB193, 2)) <=> ((~v90(constB192, 2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 2))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26510,plain,
% 28.51/19.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB192, constB193)) | (~v90(constB192, 2)) | v100(constB193) | v90(constB193, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB192, 2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 2)))),
% 28.51/19.04 inference(monotonicity,[status(thm)],[26509])).
% 28.51/19.04 tff(26511,plain,
% 28.51/19.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB192, constB193)) | (~v90(constB192, 2)) | v100(constB193) | v90(constB193, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB192, 2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 2))),
% 28.51/19.04 inference(transitivity,[status(thm)],[26510, 26508])).
% 28.51/19.04 tff(26512,plain,
% 28.51/19.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB192, constB193)) | (~v90(constB192, 2)) | v100(constB193) | v90(constB193, 2))),
% 28.51/19.04 inference(quant_inst,[status(thm)],[])).
% 28.51/19.04 tff(26513,plain,
% 28.51/19.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB192, 2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 2)),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26512, 26511])).
% 28.51/19.04 tff(26514,plain,
% 28.51/19.04 ((~v90(constB192, 2)) | v100(constB193) | v90(constB193, 2)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26513, 1546, 26495])).
% 28.51/19.04 tff(26515,plain,
% 28.51/19.04 ((~v90(constB192, 2)) | v90(constB193, 2)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26514, 26507])).
% 28.51/19.04 tff(26516,plain,
% 28.51/19.04 (v90(constB193, 2)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26515, 26489])).
% 28.51/19.04 tff(26517,plain,
% 28.51/19.04 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB191)) | v130(constB191, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB191)) | v130(constB191, 1))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26518,plain,
% 28.51/19.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB191)) | v130(constB191, 1))),
% 28.51/19.04 inference(quant_inst,[status(thm)],[])).
% 28.51/19.04 tff(26519,plain,
% 28.51/19.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB191)) | v130(constB191, 1)),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26518, 26517])).
% 28.51/19.04 tff(26520,plain,
% 28.51/19.04 (v130(constB191, 1)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26519, 1929, 26403])).
% 28.51/19.04 tff(26521,plain,
% 28.51/19.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB191) | (~v130(constB191, 1)) | v127(constB191, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB191) | (~v130(constB191, 1)) | v127(constB191, 1))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26522,plain,
% 28.51/19.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB191) | (~v130(constB191, 1)) | v127(constB191, 1))),
% 28.51/19.04 inference(quant_inst,[status(thm)],[])).
% 28.51/19.04 tff(26523,plain,
% 28.51/19.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB191) | (~v130(constB191, 1)) | v127(constB191, 1)),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26522, 26521])).
% 28.51/19.04 tff(26524,plain,
% 28.51/19.04 ((~v130(constB191, 1)) | v127(constB191, 1)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26523, 855, 26415])).
% 28.51/19.04 tff(26525,plain,
% 28.51/19.04 (v127(constB191, 1)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26524, 26520])).
% 28.51/19.04 tff(26526,plain,
% 28.51/19.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB191, constB192)) | (~v127(constB191, 1)) | v129(constB192, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB191, constB192)) | (~v127(constB191, 1)) | v129(constB192, 1))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26527,plain,
% 28.51/19.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB191, constB192)) | (~v127(constB191, 1)) | v129(constB192, 1))),
% 28.51/19.04 inference(quant_inst,[status(thm)],[])).
% 28.51/19.04 tff(26528,plain,
% 28.51/19.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB191, constB192)) | (~v127(constB191, 1)) | v129(constB192, 1)),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26527, 26526])).
% 28.51/19.04 tff(26529,plain,
% 28.51/19.04 ((~v127(constB191, 1)) | v129(constB192, 1)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26528, 870, 26433])).
% 28.51/19.04 tff(26530,plain,
% 28.51/19.04 (v129(constB192, 1)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26529, 26525])).
% 28.51/19.04 tff(26531,plain,
% 28.51/19.04 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB192, 1) | (~v129(constB192, 1)) | (~v100(constB192)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB192, 1) | (~v129(constB192, 1)) | (~v100(constB192)))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26532,plain,
% 28.51/19.04 ((v90(constB192, 1) | (~v100(constB192)) | (~v129(constB192, 1))) <=> (v90(constB192, 1) | (~v129(constB192, 1)) | (~v100(constB192)))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26533,plain,
% 28.51/19.04 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB192, 1) | (~v100(constB192)) | (~v129(constB192, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB192, 1) | (~v129(constB192, 1)) | (~v100(constB192))))),
% 28.51/19.04 inference(monotonicity,[status(thm)],[26532])).
% 28.51/19.04 tff(26534,plain,
% 28.51/19.04 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB192, 1) | (~v100(constB192)) | (~v129(constB192, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB192, 1) | (~v129(constB192, 1)) | (~v100(constB192)))),
% 28.51/19.04 inference(transitivity,[status(thm)],[26533, 26531])).
% 28.51/19.04 tff(26535,plain,
% 28.51/19.04 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB192, 1) | (~v100(constB192)) | (~v129(constB192, 1)))),
% 28.51/19.04 inference(quant_inst,[status(thm)],[])).
% 28.51/19.04 tff(26536,plain,
% 28.51/19.04 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB192, 1) | (~v129(constB192, 1)) | (~v100(constB192))),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26535, 26534])).
% 28.51/19.04 tff(26537,plain,
% 28.51/19.04 (v90(constB192, 1) | (~v100(constB192))),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26536, 885, 26530])).
% 28.51/19.04 tff(26538,plain,
% 28.51/19.04 (v90(constB192, 1)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26537, 26467])).
% 28.51/19.04 tff(26539,plain,
% 28.51/19.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB192, 1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB192, 1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 1))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26540,plain,
% 28.51/19.04 (((~nextState(constB192, constB193)) | (~v90(constB192, 1)) | v100(constB193) | v90(constB193, 1)) <=> ((~v90(constB192, 1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 1))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26541,plain,
% 28.51/19.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB192, constB193)) | (~v90(constB192, 1)) | v100(constB193) | v90(constB193, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB192, 1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 1)))),
% 28.51/19.04 inference(monotonicity,[status(thm)],[26540])).
% 28.51/19.04 tff(26542,plain,
% 28.51/19.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB192, constB193)) | (~v90(constB192, 1)) | v100(constB193) | v90(constB193, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB192, 1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 1))),
% 28.51/19.04 inference(transitivity,[status(thm)],[26541, 26539])).
% 28.51/19.04 tff(26543,plain,
% 28.51/19.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB192, constB193)) | (~v90(constB192, 1)) | v100(constB193) | v90(constB193, 1))),
% 28.51/19.04 inference(quant_inst,[status(thm)],[])).
% 28.51/19.04 tff(26544,plain,
% 28.51/19.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB192, 1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 1)),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26543, 26542])).
% 28.51/19.04 tff(26545,plain,
% 28.51/19.04 ((~v90(constB192, 1)) | v100(constB193) | v90(constB193, 1)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26544, 903, 26495])).
% 28.51/19.04 tff(26546,plain,
% 28.51/19.04 ((~v90(constB192, 1)) | v90(constB193, 1)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26545, 26507])).
% 28.51/19.04 tff(26547,plain,
% 28.51/19.04 (v90(constB193, 1)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26546, 26538])).
% 28.51/19.04 tff(26548,plain,
% 28.51/19.04 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB191)) | (~v130(constB191, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB191)) | (~v130(constB191, 0)))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26549,plain,
% 28.51/19.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB191)) | (~v130(constB191, 0)))),
% 28.51/19.04 inference(quant_inst,[status(thm)],[])).
% 28.51/19.04 tff(26550,plain,
% 28.51/19.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB191)) | (~v130(constB191, 0))),
% 28.51/19.04 inference(modus_ponens,[status(thm)],[26549, 26548])).
% 28.51/19.04 tff(26551,plain,
% 28.51/19.04 (~v130(constB191, 0)),
% 28.51/19.04 inference(unit_resolution,[status(thm)],[26550, 1967, 26403])).
% 28.51/19.04 tff(26552,plain,
% 28.51/19.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB191, 0)) | v26(constB191) | v130(constB191, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB191, 0)) | v26(constB191) | v130(constB191, 0))),
% 28.51/19.04 inference(rewrite,[status(thm)],[])).
% 28.51/19.04 tff(26553,plain,
% 28.51/19.04 ((v26(constB191) | v130(constB191, 0) | (~v127(constB191, 0))) <=> ((~v127(constB191, 0)) | v26(constB191) | v130(constB191, 0))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26554,plain,
% 28.51/19.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB191) | v130(constB191, 0) | (~v127(constB191, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB191, 0)) | v26(constB191) | v130(constB191, 0)))),
% 28.51/19.05 inference(monotonicity,[status(thm)],[26553])).
% 28.51/19.05 tff(26555,plain,
% 28.51/19.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB191) | v130(constB191, 0) | (~v127(constB191, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB191, 0)) | v26(constB191) | v130(constB191, 0))),
% 28.51/19.05 inference(transitivity,[status(thm)],[26554, 26552])).
% 28.51/19.05 tff(26556,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB191) | v130(constB191, 0) | (~v127(constB191, 0)))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26557,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB191, 0)) | v26(constB191) | v130(constB191, 0)),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26556, 26555])).
% 28.51/19.05 tff(26558,plain,
% 28.51/19.05 ((~v127(constB191, 0)) | v130(constB191, 0)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26557, 933, 26415])).
% 28.51/19.05 tff(26559,plain,
% 28.51/19.05 (~v127(constB191, 0)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26558, 26551])).
% 28.51/19.05 tff(26560,plain,
% 28.51/19.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB191, constB192)) | v127(constB191, 0) | (~v129(constB192, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB191, constB192)) | v127(constB191, 0) | (~v129(constB192, 0)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26561,plain,
% 28.51/19.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB191, constB192)) | v127(constB191, 0) | (~v129(constB192, 0)))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26562,plain,
% 28.51/19.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB191, constB192)) | v127(constB191, 0) | (~v129(constB192, 0))),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26561, 26560])).
% 28.51/19.05 tff(26563,plain,
% 28.51/19.05 (v127(constB191, 0) | (~v129(constB192, 0))),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26562, 951, 26433])).
% 28.51/19.05 tff(26564,plain,
% 28.51/19.05 (~v129(constB192, 0)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26563, 26559])).
% 28.51/19.05 tff(26565,plain,
% 28.51/19.05 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB192, 0)) | v129(constB192, 0) | (~v100(constB192)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB192, 0)) | v129(constB192, 0) | (~v100(constB192)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26566,plain,
% 28.51/19.05 (((~v90(constB192, 0)) | (~v100(constB192)) | v129(constB192, 0)) <=> ((~v90(constB192, 0)) | v129(constB192, 0) | (~v100(constB192)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26567,plain,
% 28.51/19.05 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB192, 0)) | (~v100(constB192)) | v129(constB192, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB192, 0)) | v129(constB192, 0) | (~v100(constB192))))),
% 28.51/19.05 inference(monotonicity,[status(thm)],[26566])).
% 28.51/19.05 tff(26568,plain,
% 28.51/19.05 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB192, 0)) | (~v100(constB192)) | v129(constB192, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB192, 0)) | v129(constB192, 0) | (~v100(constB192)))),
% 28.51/19.05 inference(transitivity,[status(thm)],[26567, 26565])).
% 28.51/19.05 tff(26569,plain,
% 28.51/19.05 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB192, 0)) | (~v100(constB192)) | v129(constB192, 0))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26570,plain,
% 28.51/19.05 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB192, 0)) | v129(constB192, 0) | (~v100(constB192))),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26569, 26568])).
% 28.51/19.05 tff(26571,plain,
% 28.51/19.05 ((~v90(constB192, 0)) | (~v100(constB192))),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26570, 966, 26564])).
% 28.51/19.05 tff(26572,plain,
% 28.51/19.05 (~v90(constB192, 0)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26571, 26467])).
% 28.51/19.05 tff(26573,plain,
% 28.51/19.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB192, 0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB192, 0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, 0)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26574,plain,
% 28.51/19.05 (((~nextState(constB192, constB193)) | v90(constB192, 0) | v100(constB193) | (~v90(constB193, 0))) <=> (v90(constB192, 0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, 0)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26575,plain,
% 28.51/19.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB192, constB193)) | v90(constB192, 0) | v100(constB193) | (~v90(constB193, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB192, 0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, 0))))),
% 28.51/19.05 inference(monotonicity,[status(thm)],[26574])).
% 28.51/19.05 tff(26576,plain,
% 28.51/19.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB192, constB193)) | v90(constB192, 0) | v100(constB193) | (~v90(constB193, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB192, 0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, 0)))),
% 28.51/19.05 inference(transitivity,[status(thm)],[26575, 26573])).
% 28.51/19.05 tff(26577,plain,
% 28.51/19.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB192, constB193)) | v90(constB192, 0) | v100(constB193) | (~v90(constB193, 0)))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26578,plain,
% 28.51/19.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB192, 0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, 0))),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26577, 26576])).
% 28.51/19.05 tff(26579,plain,
% 28.51/19.05 (v90(constB192, 0) | v100(constB193) | (~v90(constB193, 0))),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26578, 212, 26495])).
% 28.51/19.05 tff(26580,plain,
% 28.51/19.05 (v90(constB192, 0) | (~v90(constB193, 0))),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26579, 26507])).
% 28.51/19.05 tff(26581,plain,
% 28.51/19.05 (~v90(constB193, 0)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26580, 26572])).
% 28.51/19.05 tff(26582,plain,
% 28.51/19.05 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB193, 0) | (~v90(constB193, 1)) | (~v90(constB193, 2)) | v125(constB193))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB193, 0) | (~v90(constB193, 1)) | (~v90(constB193, 2)) | v125(constB193))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26583,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB193, 0) | (~v90(constB193, 1)) | (~v90(constB193, 2)) | v125(constB193))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26584,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB193, 0) | (~v90(constB193, 1)) | (~v90(constB193, 2)) | v125(constB193)),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26583, 26582])).
% 28.51/19.05 tff(26585,plain,
% 28.51/19.05 (v125(constB193)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26584, 2011, 26581, 26547, 26516])).
% 28.51/19.05 tff(26586,plain,
% 28.51/19.05 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB193) | (~v125(constB193)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB193) | (~v125(constB193)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26587,plain,
% 28.51/19.05 (((~v125(constB193)) | v113(constB193)) <=> (v113(constB193) | (~v125(constB193)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26588,plain,
% 28.51/19.05 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB193)) | v113(constB193))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB193) | (~v125(constB193))))),
% 28.51/19.05 inference(monotonicity,[status(thm)],[26587])).
% 28.51/19.05 tff(26589,plain,
% 28.51/19.05 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB193)) | v113(constB193))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB193) | (~v125(constB193)))),
% 28.51/19.05 inference(transitivity,[status(thm)],[26588, 26586])).
% 28.51/19.05 tff(26590,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB193)) | v113(constB193))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26591,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB193) | (~v125(constB193))),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26590, 26589])).
% 28.51/19.05 tff(26592,plain,
% 28.51/19.05 (v113(constB193)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26591, 2022, 26585])).
% 28.51/19.05 tff(26593,assumption,(v26(constB193)), introduced(assumption)).
% 28.51/19.05 tff(26594,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB193))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26595,plain,
% 28.51/19.05 ($false),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26594, 95, 26593])).
% 28.51/19.05 tff(26596,plain,(~v26(constB193)), inference(lemma,lemma(discharge,[]))).
% 28.51/19.05 tff(26597,plain,
% 28.51/19.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB193) | v112(constB193) | (~v113(constB193)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB193) | v112(constB193) | (~v113(constB193)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26598,plain,
% 28.51/19.05 ((v26(constB193) | (~v113(constB193)) | v112(constB193)) <=> (v26(constB193) | v112(constB193) | (~v113(constB193)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26599,plain,
% 28.51/19.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB193) | (~v113(constB193)) | v112(constB193))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB193) | v112(constB193) | (~v113(constB193))))),
% 28.51/19.05 inference(monotonicity,[status(thm)],[26598])).
% 28.51/19.05 tff(26600,plain,
% 28.51/19.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB193) | (~v113(constB193)) | v112(constB193))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB193) | v112(constB193) | (~v113(constB193)))),
% 28.51/19.05 inference(transitivity,[status(thm)],[26599, 26597])).
% 28.51/19.05 tff(26601,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB193) | (~v113(constB193)) | v112(constB193))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26602,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB193) | v112(constB193) | (~v113(constB193))),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26601, 26600])).
% 28.51/19.05 tff(26603,plain,
% 28.51/19.05 (v112(constB193) | (~v113(constB193))),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26602, 328, 26596])).
% 28.51/19.05 tff(26604,plain,
% 28.51/19.05 (v112(constB193)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26603, 26592])).
% 28.51/19.05 tff(26605,plain,
% 28.51/19.05 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB193) | (~v112(constB193)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB193) | (~v112(constB193)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26606,plain,
% 28.51/19.05 (((~v112(constB193)) | v108(constB193)) <=> (v108(constB193) | (~v112(constB193)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26607,plain,
% 28.51/19.05 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB193)) | v108(constB193))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB193) | (~v112(constB193))))),
% 28.51/19.05 inference(monotonicity,[status(thm)],[26606])).
% 28.51/19.05 tff(26608,plain,
% 28.51/19.05 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB193)) | v108(constB193))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB193) | (~v112(constB193)))),
% 28.51/19.05 inference(transitivity,[status(thm)],[26607, 26605])).
% 28.51/19.05 tff(26609,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB193)) | v108(constB193))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26610,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB193) | (~v112(constB193))),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26609, 26608])).
% 28.51/19.05 tff(26611,plain,
% 28.51/19.05 (v108(constB193)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26610, 340, 26604])).
% 28.51/19.05 tff(26612,plain,
% 28.51/19.05 (nextState(constB193, constB194) <=> nextState(constB193, constB194)),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26613,axiom,(nextState(constB193, constB194)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_193_1')).
% 28.51/19.05 tff(26614,plain,
% 28.51/19.05 (nextState(constB193, constB194)),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26613, 26612])).
% 28.51/19.05 tff(26615,plain,
% 28.51/19.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26616,plain,
% 28.51/19.05 (((~nextState(constB193, constB194)) | (~v108(constB193)) | v110(constB194)) <=> ((~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26617,plain,
% 28.51/19.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | (~v108(constB193)) | v110(constB194))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193))))),
% 28.51/19.05 inference(monotonicity,[status(thm)],[26616])).
% 28.51/19.05 tff(26618,plain,
% 28.51/19.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | (~v108(constB193)) | v110(constB194))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193)))),
% 28.51/19.05 inference(transitivity,[status(thm)],[26617, 26615])).
% 28.51/19.05 tff(26619,plain,
% 28.51/19.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | (~v108(constB193)) | v110(constB194))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26620,plain,
% 28.51/19.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193))),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26619, 26618])).
% 28.51/19.05 tff(26621,plain,
% 28.51/19.05 (v110(constB194) | (~v108(constB193))),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26620, 360, 26614])).
% 28.51/19.05 tff(26622,plain,
% 28.51/19.05 (v110(constB194)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26621, 26611])).
% 28.51/19.05 tff(26623,plain,
% 28.51/19.05 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB193) | (~nextState(constB193, constB194)) | (~v104(constB194)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB193) | (~nextState(constB193, constB194)) | (~v104(constB194)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26624,plain,
% 28.51/19.05 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB193) | (~nextState(constB193, constB194)) | (~v104(constB194)))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26625,plain,
% 28.51/19.05 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB193) | (~nextState(constB193, constB194)) | (~v104(constB194))),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26624, 26623])).
% 28.51/19.05 tff(26626,plain,
% 28.51/19.05 (~v104(constB194)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26625, 378, 26614, 26492])).
% 28.51/19.05 tff(26627,plain,
% 28.51/19.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB193, constB194)) | v102(constB194) | v104(constB194))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB193, constB194)) | v102(constB194) | v104(constB194))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26628,plain,
% 28.51/19.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB193, constB194)) | v102(constB194) | v104(constB194))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26629,plain,
% 28.51/19.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB193, constB194)) | v102(constB194) | v104(constB194)),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26628, 26627])).
% 28.51/19.05 tff(26630,plain,
% 28.51/19.05 (v102(constB194) | v104(constB194)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26629, 392, 26614])).
% 28.51/19.05 tff(26631,plain,
% 28.51/19.05 (v102(constB194)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26630, 26626])).
% 28.51/19.05 tff(26632,plain,
% 28.51/19.05 (v1(constB194) <=> v1(constB194)),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26633,axiom,(v1(constB194)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_194_1')).
% 28.51/19.05 tff(26634,plain,
% 28.51/19.05 (v1(constB194)),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26633, 26632])).
% 28.51/19.05 tff(26635,plain,
% 28.51/19.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB193, constB194)) | v101(constB194) | (~v102(constB194)) | (~v1(constB194)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB193, constB194)) | v101(constB194) | (~v102(constB194)) | (~v1(constB194)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26636,plain,
% 28.51/19.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB193, constB194)) | v101(constB194) | (~v102(constB194)) | (~v1(constB194)))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26637,plain,
% 28.51/19.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB193, constB194)) | v101(constB194) | (~v102(constB194)) | (~v1(constB194))),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26636, 26635])).
% 28.51/19.05 tff(26638,plain,
% 28.51/19.05 (v101(constB194) | (~v102(constB194))),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26637, 410, 26614, 26634])).
% 28.51/19.05 tff(26639,plain,
% 28.51/19.05 (v101(constB194)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26638, 26631])).
% 28.51/19.05 tff(26640,plain,
% 28.51/19.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26641,plain,
% 28.51/19.05 (((~nextState(constB193, constB194)) | (~v101(constB194)) | (~v110(constB194)) | v100(constB194)) <=> ((~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26642,plain,
% 28.51/19.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | (~v101(constB194)) | (~v110(constB194)) | v100(constB194))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194))))),
% 28.51/19.05 inference(monotonicity,[status(thm)],[26641])).
% 28.51/19.05 tff(26643,plain,
% 28.51/19.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | (~v101(constB194)) | (~v110(constB194)) | v100(constB194))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194)))),
% 28.51/19.05 inference(transitivity,[status(thm)],[26642, 26640])).
% 28.51/19.05 tff(26644,plain,
% 28.51/19.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | (~v101(constB194)) | (~v110(constB194)) | v100(constB194))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26645,plain,
% 28.51/19.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194))),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26644, 26643])).
% 28.51/19.05 tff(26646,plain,
% 28.51/19.05 (v100(constB194) | (~v101(constB194)) | (~v110(constB194))),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26645, 425, 26614])).
% 28.51/19.05 tff(26647,plain,
% 28.51/19.05 (v100(constB194) | (~v110(constB194))),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26646, 26639])).
% 28.51/19.05 tff(26648,plain,
% 28.51/19.05 (v100(constB194)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26647, 26622])).
% 28.51/19.05 tff(26649,plain,
% 28.51/19.05 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB193)) | (~v90(constB193, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB193)) | (~v90(constB193, 2)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26650,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB193)) | (~v90(constB193, 2)))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26651,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB193)) | (~v90(constB193, 2))),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26650, 26649])).
% 28.51/19.05 tff(26652,plain,
% 28.51/19.05 (~v122(constB193)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26651, 2119, 26516])).
% 28.51/19.05 tff(26653,plain,
% 28.51/19.05 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB193)) | (~v90(constB193, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB193)) | (~v90(constB193, 1)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26654,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB193)) | (~v90(constB193, 1)))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26655,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB193)) | (~v90(constB193, 1))),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26654, 26653])).
% 28.51/19.05 tff(26656,plain,
% 28.51/19.05 (~v119(constB193)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26655, 2086, 26547])).
% 28.51/19.05 tff(26657,plain,
% 28.51/19.05 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB193)) | (~v90(constB193, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB193)) | (~v90(constB193, 1)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26658,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB193)) | (~v90(constB193, 1)))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26659,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB193)) | (~v90(constB193, 1))),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26658, 26657])).
% 28.51/19.05 tff(26660,plain,
% 28.51/19.05 (~v123(constB193)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26659, 2108, 26547])).
% 28.51/19.05 tff(26661,plain,
% 28.51/19.05 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB193)) | (~v90(constB193, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB193)) | (~v90(constB193, 1)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26662,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB193)) | (~v90(constB193, 1)))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26663,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB193)) | (~v90(constB193, 1))),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26662, 26661])).
% 28.51/19.05 tff(26664,plain,
% 28.51/19.05 (~v124(constB193)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26663, 2097, 26547])).
% 28.51/19.05 tff(26665,plain,
% 28.51/19.05 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB193)) | (~v90(constB193, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB193)) | (~v90(constB193, 1)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26666,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB193)) | (~v90(constB193, 1)))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26667,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB193)) | (~v90(constB193, 1))),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26666, 26665])).
% 28.51/19.05 tff(26668,plain,
% 28.51/19.05 (~v120(constB193)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26667, 2141, 26547])).
% 28.51/19.05 tff(26669,plain,
% 28.51/19.05 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB193)) | (~v90(constB193, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB193)) | (~v90(constB193, 2)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26670,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB193)) | (~v90(constB193, 2)))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26671,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB193)) | (~v90(constB193, 2))),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26670, 26669])).
% 28.51/19.05 tff(26672,plain,
% 28.51/19.05 (~v121(constB193)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26671, 2130, 26516])).
% 28.51/19.05 tff(26673,plain,
% 28.51/19.05 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, 2)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26674,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, 2)))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26675,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, 2))),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26674, 26673])).
% 28.51/19.05 tff(26676,plain,
% 28.51/19.05 (~v130(constB193, 2)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26675, 2155, 26672, 26668, 26664, 26660, 26656, 26652])).
% 28.51/19.05 tff(26677,plain,
% 28.51/19.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB193, 2)) | v26(constB193) | v130(constB193, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB193, 2)) | v26(constB193) | v130(constB193, 2))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26678,plain,
% 28.51/19.05 ((v26(constB193) | v130(constB193, 2) | (~v127(constB193, 2))) <=> ((~v127(constB193, 2)) | v26(constB193) | v130(constB193, 2))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26679,plain,
% 28.51/19.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB193) | v130(constB193, 2) | (~v127(constB193, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB193, 2)) | v26(constB193) | v130(constB193, 2)))),
% 28.51/19.05 inference(monotonicity,[status(thm)],[26678])).
% 28.51/19.05 tff(26680,plain,
% 28.51/19.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB193) | v130(constB193, 2) | (~v127(constB193, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB193, 2)) | v26(constB193) | v130(constB193, 2))),
% 28.51/19.05 inference(transitivity,[status(thm)],[26679, 26677])).
% 28.51/19.05 tff(26681,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB193) | v130(constB193, 2) | (~v127(constB193, 2)))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26682,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB193, 2)) | v26(constB193) | v130(constB193, 2)),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26681, 26680])).
% 28.51/19.05 tff(26683,plain,
% 28.51/19.05 ((~v127(constB193, 2)) | v130(constB193, 2)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26682, 455, 26596])).
% 28.51/19.05 tff(26684,plain,
% 28.51/19.05 (~v127(constB193, 2)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26683, 26676])).
% 28.51/19.05 tff(26685,plain,
% 28.51/19.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB193, constB194)) | v127(constB193, 2) | (~v129(constB194, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB193, constB194)) | v127(constB193, 2) | (~v129(constB194, 2)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26686,plain,
% 28.51/19.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB193, constB194)) | v127(constB193, 2) | (~v129(constB194, 2)))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26687,plain,
% 28.51/19.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB193, constB194)) | v127(constB193, 2) | (~v129(constB194, 2))),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26686, 26685])).
% 28.51/19.05 tff(26688,plain,
% 28.51/19.05 (v127(constB193, 2) | (~v129(constB194, 2))),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26687, 473, 26614])).
% 28.51/19.05 tff(26689,plain,
% 28.51/19.05 (~v129(constB194, 2)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26688, 26684])).
% 28.51/19.05 tff(26690,plain,
% 28.51/19.05 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB194, 2)) | v129(constB194, 2) | (~v100(constB194)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB194, 2)) | v129(constB194, 2) | (~v100(constB194)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26691,plain,
% 28.51/19.05 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB194, 2)) | v129(constB194, 2) | (~v100(constB194)))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26692,plain,
% 28.51/19.05 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB194, 2)) | v129(constB194, 2) | (~v100(constB194))),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26691, 26690])).
% 28.51/19.05 tff(26693,plain,
% 28.51/19.05 ((~v90(constB194, 2)) | (~v100(constB194))),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26692, 488, 26689])).
% 28.51/19.05 tff(26694,plain,
% 28.51/19.05 (~v90(constB194, 2)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26693, 26648])).
% 28.51/19.05 tff(26695,plain,
% 28.51/19.05 ((~v1(constB195)) <=> (~v1(constB195))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26696,axiom,(~v1(constB195)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_195_1_1')).
% 28.51/19.05 tff(26697,plain,
% 28.51/19.05 (~v1(constB195)),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26696, 26695])).
% 28.51/19.05 tff(26698,plain,
% 28.51/19.05 (nextState(constB194, constB195) <=> nextState(constB194, constB195)),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26699,axiom,(nextState(constB194, constB195)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_194_1')).
% 28.51/19.05 tff(26700,plain,
% 28.51/19.05 (nextState(constB194, constB195)),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26699, 26698])).
% 28.51/19.05 tff(26701,plain,
% 28.51/19.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26702,plain,
% 28.51/19.05 (((~nextState(constB194, constB195)) | (~v101(constB195)) | v1(constB195)) <=> (v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26703,plain,
% 28.51/19.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB194, constB195)) | (~v101(constB195)) | v1(constB195))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195))))),
% 28.51/19.05 inference(monotonicity,[status(thm)],[26702])).
% 28.51/19.05 tff(26704,plain,
% 28.51/19.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB194, constB195)) | (~v101(constB195)) | v1(constB195))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195)))),
% 28.51/19.05 inference(transitivity,[status(thm)],[26703, 26701])).
% 28.51/19.05 tff(26705,plain,
% 28.51/19.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB194, constB195)) | (~v101(constB195)) | v1(constB195))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26706,plain,
% 28.51/19.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195))),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26705, 26704])).
% 28.51/19.05 tff(26707,plain,
% 28.51/19.05 (~v101(constB195)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26706, 138, 26700, 26697])).
% 28.51/19.05 tff(26708,plain,
% 28.51/19.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB194, constB195)) | v101(constB195) | (~v100(constB195)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB194, constB195)) | v101(constB195) | (~v100(constB195)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26709,plain,
% 28.51/19.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB194, constB195)) | v101(constB195) | (~v100(constB195)))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26710,plain,
% 28.51/19.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB194, constB195)) | v101(constB195) | (~v100(constB195))),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26709, 26708])).
% 28.51/19.05 tff(26711,plain,
% 28.51/19.05 (v101(constB195) | (~v100(constB195))),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26710, 155, 26700])).
% 28.51/19.05 tff(26712,plain,
% 28.51/19.05 (~v100(constB195)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26711, 26707])).
% 28.51/19.05 tff(26713,plain,
% 28.51/19.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB194, 2) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB194, 2) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, 2)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26714,plain,
% 28.51/19.05 (((~nextState(constB194, constB195)) | v90(constB194, 2) | v100(constB195) | (~v90(constB195, 2))) <=> (v90(constB194, 2) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, 2)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26715,plain,
% 28.51/19.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB194, constB195)) | v90(constB194, 2) | v100(constB195) | (~v90(constB195, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB194, 2) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, 2))))),
% 28.51/19.05 inference(monotonicity,[status(thm)],[26714])).
% 28.51/19.05 tff(26716,plain,
% 28.51/19.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB194, constB195)) | v90(constB194, 2) | v100(constB195) | (~v90(constB195, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB194, 2) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, 2)))),
% 28.51/19.05 inference(transitivity,[status(thm)],[26715, 26713])).
% 28.51/19.05 tff(26717,plain,
% 28.51/19.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB194, constB195)) | v90(constB194, 2) | v100(constB195) | (~v90(constB195, 2)))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26718,plain,
% 28.51/19.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB194, 2) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, 2))),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26717, 26716])).
% 28.51/19.05 tff(26719,plain,
% 28.51/19.05 (v90(constB194, 2) | v100(constB195) | (~v90(constB195, 2))),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26718, 170, 26700])).
% 28.51/19.05 tff(26720,plain,
% 28.51/19.05 (v90(constB194, 2) | (~v90(constB195, 2))),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26719, 26712])).
% 28.51/19.05 tff(26721,plain,
% 28.51/19.05 (~v90(constB195, 2)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26720, 26694])).
% 28.51/19.05 tff(26722,plain,
% 28.51/19.05 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, 1)))),
% 28.51/19.05 inference(rewrite,[status(thm)],[])).
% 28.51/19.05 tff(26723,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, 1)))),
% 28.51/19.05 inference(quant_inst,[status(thm)],[])).
% 28.51/19.05 tff(26724,plain,
% 28.51/19.05 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~v130(constB193, 1))),
% 28.51/19.05 inference(modus_ponens,[status(thm)],[26723, 26722])).
% 28.51/19.05 tff(26725,plain,
% 28.51/19.05 (~v130(constB193, 1)),
% 28.51/19.05 inference(unit_resolution,[status(thm)],[26724, 2214, 26672, 26668, 26664, 26660, 26656, 26652])).
% 28.54/19.05 tff(26726,plain,
% 28.54/19.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB193, 1)) | v26(constB193) | v130(constB193, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB193, 1)) | v26(constB193) | v130(constB193, 1))),
% 28.54/19.05 inference(rewrite,[status(thm)],[])).
% 28.54/19.05 tff(26727,plain,
% 28.54/19.05 ((v26(constB193) | v130(constB193, 1) | (~v127(constB193, 1))) <=> ((~v127(constB193, 1)) | v26(constB193) | v130(constB193, 1))),
% 28.54/19.05 inference(rewrite,[status(thm)],[])).
% 28.54/19.05 tff(26728,plain,
% 28.54/19.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB193) | v130(constB193, 1) | (~v127(constB193, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB193, 1)) | v26(constB193) | v130(constB193, 1)))),
% 28.54/19.05 inference(monotonicity,[status(thm)],[26727])).
% 28.54/19.05 tff(26729,plain,
% 28.54/19.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB193) | v130(constB193, 1) | (~v127(constB193, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB193, 1)) | v26(constB193) | v130(constB193, 1))),
% 28.54/19.05 inference(transitivity,[status(thm)],[26728, 26726])).
% 28.54/19.05 tff(26730,plain,
% 28.54/19.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB193) | v130(constB193, 1) | (~v127(constB193, 1)))),
% 28.54/19.05 inference(quant_inst,[status(thm)],[])).
% 28.54/19.05 tff(26731,plain,
% 28.54/19.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB193, 1)) | v26(constB193) | v130(constB193, 1)),
% 28.54/19.05 inference(modus_ponens,[status(thm)],[26730, 26729])).
% 28.54/19.05 tff(26732,plain,
% 28.54/19.05 ((~v127(constB193, 1)) | v130(constB193, 1)),
% 28.54/19.05 inference(unit_resolution,[status(thm)],[26731, 541, 26596])).
% 28.54/19.05 tff(26733,plain,
% 28.54/19.05 (~v127(constB193, 1)),
% 28.54/19.05 inference(unit_resolution,[status(thm)],[26732, 26725])).
% 28.54/19.05 tff(26734,plain,
% 28.54/19.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB193, constB194)) | v127(constB193, 1) | (~v129(constB194, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB193, constB194)) | v127(constB193, 1) | (~v129(constB194, 1)))),
% 28.54/19.05 inference(rewrite,[status(thm)],[])).
% 28.54/19.05 tff(26735,plain,
% 28.54/19.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB193, constB194)) | v127(constB193, 1) | (~v129(constB194, 1)))),
% 28.54/19.05 inference(quant_inst,[status(thm)],[])).
% 28.54/19.05 tff(26736,plain,
% 28.54/19.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB193, constB194)) | v127(constB193, 1) | (~v129(constB194, 1))),
% 28.54/19.05 inference(modus_ponens,[status(thm)],[26735, 26734])).
% 28.54/19.05 tff(26737,plain,
% 28.54/19.05 (v127(constB193, 1) | (~v129(constB194, 1))),
% 28.54/19.05 inference(unit_resolution,[status(thm)],[26736, 559, 26614])).
% 28.54/19.05 tff(26738,plain,
% 28.54/19.05 (~v129(constB194, 1)),
% 28.54/19.05 inference(unit_resolution,[status(thm)],[26737, 26733])).
% 28.54/19.05 tff(26739,plain,
% 28.54/19.05 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB194, 1)) | v129(constB194, 1) | (~v100(constB194)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB194, 1)) | v129(constB194, 1) | (~v100(constB194)))),
% 28.54/19.05 inference(rewrite,[status(thm)],[])).
% 28.54/19.05 tff(26740,plain,
% 28.54/19.05 (((~v90(constB194, 1)) | (~v100(constB194)) | v129(constB194, 1)) <=> ((~v90(constB194, 1)) | v129(constB194, 1) | (~v100(constB194)))),
% 28.54/19.05 inference(rewrite,[status(thm)],[])).
% 28.54/19.05 tff(26741,plain,
% 28.54/19.05 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB194, 1)) | (~v100(constB194)) | v129(constB194, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB194, 1)) | v129(constB194, 1) | (~v100(constB194))))),
% 28.54/19.06 inference(monotonicity,[status(thm)],[26740])).
% 28.54/19.06 tff(26742,plain,
% 28.54/19.06 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB194, 1)) | (~v100(constB194)) | v129(constB194, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB194, 1)) | v129(constB194, 1) | (~v100(constB194)))),
% 28.54/19.06 inference(transitivity,[status(thm)],[26741, 26739])).
% 28.54/19.06 tff(26743,plain,
% 28.54/19.06 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB194, 1)) | (~v100(constB194)) | v129(constB194, 1))),
% 28.54/19.06 inference(quant_inst,[status(thm)],[])).
% 28.54/19.06 tff(26744,plain,
% 28.54/19.06 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB194, 1)) | v129(constB194, 1) | (~v100(constB194))),
% 28.54/19.06 inference(modus_ponens,[status(thm)],[26743, 26742])).
% 28.54/19.06 tff(26745,plain,
% 28.54/19.06 ((~v90(constB194, 1)) | (~v100(constB194))),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26744, 574, 26738])).
% 28.54/19.06 tff(26746,plain,
% 28.54/19.06 (~v90(constB194, 1)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26745, 26648])).
% 28.54/19.06 tff(26747,plain,
% 28.54/19.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB194, 1) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB194, 1) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, 1)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26748,plain,
% 28.54/19.06 (((~nextState(constB194, constB195)) | v90(constB194, 1) | v100(constB195) | (~v90(constB195, 1))) <=> (v90(constB194, 1) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, 1)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26749,plain,
% 28.54/19.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB194, constB195)) | v90(constB194, 1) | v100(constB195) | (~v90(constB195, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB194, 1) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, 1))))),
% 28.54/19.06 inference(monotonicity,[status(thm)],[26748])).
% 28.54/19.06 tff(26750,plain,
% 28.54/19.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB194, constB195)) | v90(constB194, 1) | v100(constB195) | (~v90(constB195, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB194, 1) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, 1)))),
% 28.54/19.06 inference(transitivity,[status(thm)],[26749, 26747])).
% 28.54/19.06 tff(26751,plain,
% 28.54/19.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB194, constB195)) | v90(constB194, 1) | v100(constB195) | (~v90(constB195, 1)))),
% 28.54/19.06 inference(quant_inst,[status(thm)],[])).
% 28.54/19.06 tff(26752,plain,
% 28.54/19.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB194, 1) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, 1))),
% 28.54/19.06 inference(modus_ponens,[status(thm)],[26751, 26750])).
% 28.54/19.06 tff(26753,plain,
% 28.54/19.06 (v90(constB194, 1) | v100(constB195) | (~v90(constB195, 1))),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26752, 191, 26700])).
% 28.54/19.06 tff(26754,plain,
% 28.54/19.06 (v90(constB194, 1) | (~v90(constB195, 1))),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26753, 26712])).
% 28.54/19.06 tff(26755,plain,
% 28.54/19.06 (~v90(constB195, 1)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26754, 26746])).
% 28.54/19.06 tff(26756,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | v130(constB193, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | v130(constB193, 0))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26757,plain,
% 28.54/19.06 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | v130(constB193, 0))),
% 28.54/19.06 inference(quant_inst,[status(thm)],[])).
% 28.54/19.06 tff(26758,plain,
% 28.54/19.06 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | v130(constB193, 0)),
% 28.54/19.06 inference(modus_ponens,[status(thm)],[26757, 26756])).
% 28.54/19.06 tff(26759,plain,
% 28.54/19.06 (v130(constB193, 0)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26758, 2258, 26672, 26668, 26664, 26660, 26656, 26652])).
% 28.54/19.06 tff(26760,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB193) | (~v130(constB193, 0)) | v127(constB193, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB193) | (~v130(constB193, 0)) | v127(constB193, 0))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26761,plain,
% 28.54/19.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB193) | (~v130(constB193, 0)) | v127(constB193, 0))),
% 28.54/19.06 inference(quant_inst,[status(thm)],[])).
% 28.54/19.06 tff(26762,plain,
% 28.54/19.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB193) | (~v130(constB193, 0)) | v127(constB193, 0)),
% 28.54/19.06 inference(modus_ponens,[status(thm)],[26761, 26760])).
% 28.54/19.06 tff(26763,plain,
% 28.54/19.06 ((~v130(constB193, 0)) | v127(constB193, 0)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26762, 612, 26596])).
% 28.54/19.06 tff(26764,plain,
% 28.54/19.06 (v127(constB193, 0)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26763, 26759])).
% 28.54/19.06 tff(26765,plain,
% 28.54/19.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB193, constB194)) | (~v127(constB193, 0)) | v129(constB194, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB193, constB194)) | (~v127(constB193, 0)) | v129(constB194, 0))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26766,plain,
% 28.54/19.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB193, constB194)) | (~v127(constB193, 0)) | v129(constB194, 0))),
% 28.54/19.06 inference(quant_inst,[status(thm)],[])).
% 28.54/19.06 tff(26767,plain,
% 28.54/19.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB193, constB194)) | (~v127(constB193, 0)) | v129(constB194, 0)),
% 28.54/19.06 inference(modus_ponens,[status(thm)],[26766, 26765])).
% 28.54/19.06 tff(26768,plain,
% 28.54/19.06 ((~v127(constB193, 0)) | v129(constB194, 0)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26767, 627, 26614])).
% 28.54/19.06 tff(26769,plain,
% 28.54/19.06 (v129(constB194, 0)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26768, 26764])).
% 28.54/19.06 tff(26770,plain,
% 28.54/19.06 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB194, 0) | (~v129(constB194, 0)) | (~v100(constB194)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB194, 0) | (~v129(constB194, 0)) | (~v100(constB194)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26771,plain,
% 28.54/19.06 ((v90(constB194, 0) | (~v100(constB194)) | (~v129(constB194, 0))) <=> (v90(constB194, 0) | (~v129(constB194, 0)) | (~v100(constB194)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26772,plain,
% 28.54/19.06 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB194, 0) | (~v100(constB194)) | (~v129(constB194, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB194, 0) | (~v129(constB194, 0)) | (~v100(constB194))))),
% 28.54/19.06 inference(monotonicity,[status(thm)],[26771])).
% 28.54/19.06 tff(26773,plain,
% 28.54/19.06 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB194, 0) | (~v100(constB194)) | (~v129(constB194, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB194, 0) | (~v129(constB194, 0)) | (~v100(constB194)))),
% 28.54/19.06 inference(transitivity,[status(thm)],[26772, 26770])).
% 28.54/19.06 tff(26774,plain,
% 28.54/19.06 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB194, 0) | (~v100(constB194)) | (~v129(constB194, 0)))),
% 28.54/19.06 inference(quant_inst,[status(thm)],[])).
% 28.54/19.06 tff(26775,plain,
% 28.54/19.06 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB194, 0) | (~v129(constB194, 0)) | (~v100(constB194))),
% 28.54/19.06 inference(modus_ponens,[status(thm)],[26774, 26773])).
% 28.54/19.06 tff(26776,plain,
% 28.54/19.06 (v90(constB194, 0) | (~v100(constB194))),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26775, 642, 26769])).
% 28.54/19.06 tff(26777,plain,
% 28.54/19.06 (v90(constB194, 0)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26776, 26648])).
% 28.54/19.06 tff(26778,plain,
% 28.54/19.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB194, 0)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB194, 0)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, 0))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26779,plain,
% 28.54/19.06 (((~nextState(constB194, constB195)) | (~v90(constB194, 0)) | v100(constB195) | v90(constB195, 0)) <=> ((~v90(constB194, 0)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, 0))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26780,plain,
% 28.54/19.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB194, constB195)) | (~v90(constB194, 0)) | v100(constB195) | v90(constB195, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB194, 0)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, 0)))),
% 28.54/19.06 inference(monotonicity,[status(thm)],[26779])).
% 28.54/19.06 tff(26781,plain,
% 28.54/19.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB194, constB195)) | (~v90(constB194, 0)) | v100(constB195) | v90(constB195, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB194, 0)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, 0))),
% 28.54/19.06 inference(transitivity,[status(thm)],[26780, 26778])).
% 28.54/19.06 tff(26782,plain,
% 28.54/19.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB194, constB195)) | (~v90(constB194, 0)) | v100(constB195) | v90(constB195, 0))),
% 28.54/19.06 inference(quant_inst,[status(thm)],[])).
% 28.54/19.06 tff(26783,plain,
% 28.54/19.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB194, 0)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, 0)),
% 28.54/19.06 inference(modus_ponens,[status(thm)],[26782, 26781])).
% 28.54/19.06 tff(26784,plain,
% 28.54/19.06 ((~v90(constB194, 0)) | v100(constB195) | v90(constB195, 0)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26783, 660, 26700])).
% 28.54/19.06 tff(26785,plain,
% 28.54/19.06 ((~v90(constB194, 0)) | v90(constB195, 0)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26784, 26712])).
% 28.54/19.06 tff(26786,plain,
% 28.54/19.06 (v90(constB195, 0)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26785, 26777])).
% 28.54/19.06 tff(26787,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB195, 0)) | v90(constB195, 1) | v90(constB195, 2) | v120(constB195))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB195, 0)) | v90(constB195, 1) | v90(constB195, 2) | v120(constB195))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26788,plain,
% 28.54/19.06 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB195, 0)) | v90(constB195, 1) | v90(constB195, 2) | v120(constB195))),
% 28.54/19.06 inference(quant_inst,[status(thm)],[])).
% 28.54/19.06 tff(26789,plain,
% 28.54/19.06 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB195, 0)) | v90(constB195, 1) | v90(constB195, 2) | v120(constB195)),
% 28.54/19.06 inference(modus_ponens,[status(thm)],[26788, 26787])).
% 28.54/19.06 tff(26790,plain,
% 28.54/19.06 (v120(constB195)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26789, 679, 26786, 26755, 26721])).
% 28.54/19.06 tff(26791,assumption,(v120(constB195)), introduced(assumption)).
% 28.54/19.06 tff(26792,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB195) | (~v120(constB195)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB195) | (~v120(constB195)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26793,plain,
% 28.54/19.06 (((~v120(constB195)) | v118(constB195)) <=> (v118(constB195) | (~v120(constB195)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26794,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB195)) | v118(constB195))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB195) | (~v120(constB195))))),
% 28.54/19.06 inference(monotonicity,[status(thm)],[26793])).
% 28.54/19.06 tff(26795,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB195)) | v118(constB195))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB195) | (~v120(constB195)))),
% 28.54/19.06 inference(transitivity,[status(thm)],[26794, 26792])).
% 28.54/19.06 tff(26796,plain,
% 28.54/19.06 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB195)) | v118(constB195))),
% 28.54/19.06 inference(quant_inst,[status(thm)],[])).
% 28.54/19.06 tff(26797,plain,
% 28.54/19.06 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB195) | (~v120(constB195))),
% 28.54/19.06 inference(modus_ponens,[status(thm)],[26796, 26795])).
% 28.54/19.06 tff(26798,plain,
% 28.54/19.06 (v118(constB195)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26797, 690, 26791])).
% 28.54/19.06 tff(26799,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB195) | (~v118(constB195)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB195) | (~v118(constB195)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26800,plain,
% 28.54/19.06 (((~v118(constB195)) | v117(constB195)) <=> (v117(constB195) | (~v118(constB195)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26801,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB195)) | v117(constB195))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB195) | (~v118(constB195))))),
% 28.54/19.06 inference(monotonicity,[status(thm)],[26800])).
% 28.54/19.06 tff(26802,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB195)) | v117(constB195))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB195) | (~v118(constB195)))),
% 28.54/19.06 inference(transitivity,[status(thm)],[26801, 26799])).
% 28.54/19.06 tff(26803,plain,
% 28.54/19.06 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB195)) | v117(constB195))),
% 28.54/19.06 inference(quant_inst,[status(thm)],[])).
% 28.54/19.06 tff(26804,plain,
% 28.54/19.06 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB195) | (~v118(constB195))),
% 28.54/19.06 inference(modus_ponens,[status(thm)],[26803, 26802])).
% 28.54/19.06 tff(26805,plain,
% 28.54/19.06 (v117(constB195)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26804, 258, 26798])).
% 28.54/19.06 tff(26806,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB195) | (~v117(constB195)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB195) | (~v117(constB195)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26807,plain,
% 28.54/19.06 (((~v117(constB195)) | v116(constB195)) <=> (v116(constB195) | (~v117(constB195)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26808,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB195)) | v116(constB195))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB195) | (~v117(constB195))))),
% 28.54/19.06 inference(monotonicity,[status(thm)],[26807])).
% 28.54/19.06 tff(26809,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB195)) | v116(constB195))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB195) | (~v117(constB195)))),
% 28.54/19.06 inference(transitivity,[status(thm)],[26808, 26806])).
% 28.54/19.06 tff(26810,plain,
% 28.54/19.06 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB195)) | v116(constB195))),
% 28.54/19.06 inference(quant_inst,[status(thm)],[])).
% 28.54/19.06 tff(26811,plain,
% 28.54/19.06 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB195) | (~v117(constB195))),
% 28.54/19.06 inference(modus_ponens,[status(thm)],[26810, 26809])).
% 28.54/19.06 tff(26812,plain,
% 28.54/19.06 (v116(constB195)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26811, 272, 26805])).
% 28.54/19.06 tff(26813,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB195) | (~v116(constB195)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB195) | (~v116(constB195)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26814,plain,
% 28.54/19.06 (((~v116(constB195)) | v115(constB195)) <=> (v115(constB195) | (~v116(constB195)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26815,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB195)) | v115(constB195))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB195) | (~v116(constB195))))),
% 28.54/19.06 inference(monotonicity,[status(thm)],[26814])).
% 28.54/19.06 tff(26816,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB195)) | v115(constB195))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB195) | (~v116(constB195)))),
% 28.54/19.06 inference(transitivity,[status(thm)],[26815, 26813])).
% 28.54/19.06 tff(26817,plain,
% 28.54/19.06 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB195)) | v115(constB195))),
% 28.54/19.06 inference(quant_inst,[status(thm)],[])).
% 28.54/19.06 tff(26818,plain,
% 28.54/19.06 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB195) | (~v116(constB195))),
% 28.54/19.06 inference(modus_ponens,[status(thm)],[26817, 26816])).
% 28.54/19.06 tff(26819,plain,
% 28.54/19.06 (v115(constB195)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26818, 286, 26812])).
% 28.54/19.06 tff(26820,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB195) | (~v115(constB195)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB195) | (~v115(constB195)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26821,plain,
% 28.54/19.06 (((~v115(constB195)) | v114(constB195)) <=> (v114(constB195) | (~v115(constB195)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26822,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB195)) | v114(constB195))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB195) | (~v115(constB195))))),
% 28.54/19.06 inference(monotonicity,[status(thm)],[26821])).
% 28.54/19.06 tff(26823,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB195)) | v114(constB195))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB195) | (~v115(constB195)))),
% 28.54/19.06 inference(transitivity,[status(thm)],[26822, 26820])).
% 28.54/19.06 tff(26824,plain,
% 28.54/19.06 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB195)) | v114(constB195))),
% 28.54/19.06 inference(quant_inst,[status(thm)],[])).
% 28.54/19.06 tff(26825,plain,
% 28.54/19.06 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB195) | (~v115(constB195))),
% 28.54/19.06 inference(modus_ponens,[status(thm)],[26824, 26823])).
% 28.54/19.06 tff(26826,plain,
% 28.54/19.06 (v114(constB195)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26825, 300, 26819])).
% 28.54/19.06 tff(26827,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB195) | (~v114(constB195)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB195) | (~v114(constB195)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26828,plain,
% 28.54/19.06 (((~v114(constB195)) | v113(constB195)) <=> (v113(constB195) | (~v114(constB195)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26829,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB195)) | v113(constB195))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB195) | (~v114(constB195))))),
% 28.54/19.06 inference(monotonicity,[status(thm)],[26828])).
% 28.54/19.06 tff(26830,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB195)) | v113(constB195))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB195) | (~v114(constB195)))),
% 28.54/19.06 inference(transitivity,[status(thm)],[26829, 26827])).
% 28.54/19.06 tff(26831,plain,
% 28.54/19.06 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB195)) | v113(constB195))),
% 28.54/19.06 inference(quant_inst,[status(thm)],[])).
% 28.54/19.06 tff(26832,plain,
% 28.54/19.06 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB195) | (~v114(constB195))),
% 28.54/19.06 inference(modus_ponens,[status(thm)],[26831, 26830])).
% 28.54/19.06 tff(26833,plain,
% 28.54/19.06 (v113(constB195)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26832, 314, 26826])).
% 28.54/19.06 tff(26834,assumption,(v26(constB195)), introduced(assumption)).
% 28.54/19.06 tff(26835,plain,
% 28.54/19.06 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB195))),
% 28.54/19.06 inference(quant_inst,[status(thm)],[])).
% 28.54/19.06 tff(26836,plain,
% 28.54/19.06 ($false),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26835, 95, 26834])).
% 28.54/19.06 tff(26837,plain,(~v26(constB195)), inference(lemma,lemma(discharge,[]))).
% 28.54/19.06 tff(26838,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB195) | v112(constB195) | (~v113(constB195)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB195) | v112(constB195) | (~v113(constB195)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26839,plain,
% 28.54/19.06 ((v26(constB195) | (~v113(constB195)) | v112(constB195)) <=> (v26(constB195) | v112(constB195) | (~v113(constB195)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26840,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB195) | (~v113(constB195)) | v112(constB195))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB195) | v112(constB195) | (~v113(constB195))))),
% 28.54/19.06 inference(monotonicity,[status(thm)],[26839])).
% 28.54/19.06 tff(26841,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB195) | (~v113(constB195)) | v112(constB195))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB195) | v112(constB195) | (~v113(constB195)))),
% 28.54/19.06 inference(transitivity,[status(thm)],[26840, 26838])).
% 28.54/19.06 tff(26842,plain,
% 28.54/19.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB195) | (~v113(constB195)) | v112(constB195))),
% 28.54/19.06 inference(quant_inst,[status(thm)],[])).
% 28.54/19.06 tff(26843,plain,
% 28.54/19.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB195) | v112(constB195) | (~v113(constB195))),
% 28.54/19.06 inference(modus_ponens,[status(thm)],[26842, 26841])).
% 28.54/19.06 tff(26844,plain,
% 28.54/19.06 (v112(constB195) | (~v113(constB195))),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26843, 328, 26837])).
% 28.54/19.06 tff(26845,plain,
% 28.54/19.06 (v112(constB195)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26844, 26833])).
% 28.54/19.06 tff(26846,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB195) | (~v112(constB195)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB195) | (~v112(constB195)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26847,plain,
% 28.54/19.06 (((~v112(constB195)) | v108(constB195)) <=> (v108(constB195) | (~v112(constB195)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26848,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB195)) | v108(constB195))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB195) | (~v112(constB195))))),
% 28.54/19.06 inference(monotonicity,[status(thm)],[26847])).
% 28.54/19.06 tff(26849,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB195)) | v108(constB195))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB195) | (~v112(constB195)))),
% 28.54/19.06 inference(transitivity,[status(thm)],[26848, 26846])).
% 28.54/19.06 tff(26850,plain,
% 28.54/19.06 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB195)) | v108(constB195))),
% 28.54/19.06 inference(quant_inst,[status(thm)],[])).
% 28.54/19.06 tff(26851,plain,
% 28.54/19.06 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB195) | (~v112(constB195))),
% 28.54/19.06 inference(modus_ponens,[status(thm)],[26850, 26849])).
% 28.54/19.06 tff(26852,plain,
% 28.54/19.06 (v108(constB195)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26851, 340, 26845])).
% 28.54/19.06 tff(26853,plain,
% 28.54/19.06 (nextState(constB195, constB196) <=> nextState(constB195, constB196)),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26854,axiom,(nextState(constB195, constB196)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_195_1')).
% 28.54/19.06 tff(26855,plain,
% 28.54/19.06 (nextState(constB195, constB196)),
% 28.54/19.06 inference(modus_ponens,[status(thm)],[26854, 26853])).
% 28.54/19.06 tff(26856,plain,
% 28.54/19.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26857,plain,
% 28.54/19.06 (((~nextState(constB195, constB196)) | (~v108(constB195)) | v110(constB196)) <=> ((~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26858,plain,
% 28.54/19.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB195, constB196)) | (~v108(constB195)) | v110(constB196))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195))))),
% 28.54/19.06 inference(monotonicity,[status(thm)],[26857])).
% 28.54/19.06 tff(26859,plain,
% 28.54/19.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB195, constB196)) | (~v108(constB195)) | v110(constB196))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195)))),
% 28.54/19.06 inference(transitivity,[status(thm)],[26858, 26856])).
% 28.54/19.06 tff(26860,plain,
% 28.54/19.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB195, constB196)) | (~v108(constB195)) | v110(constB196))),
% 28.54/19.06 inference(quant_inst,[status(thm)],[])).
% 28.54/19.06 tff(26861,plain,
% 28.54/19.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195))),
% 28.54/19.06 inference(modus_ponens,[status(thm)],[26860, 26859])).
% 28.54/19.06 tff(26862,plain,
% 28.54/19.06 (v110(constB196) | (~v108(constB195))),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26861, 360, 26855])).
% 28.54/19.06 tff(26863,plain,
% 28.54/19.06 (v110(constB196)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26862, 26852])).
% 28.54/19.06 tff(26864,plain,
% 28.54/19.06 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB195) | (~nextState(constB195, constB196)) | (~v104(constB196)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB195) | (~nextState(constB195, constB196)) | (~v104(constB196)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26865,plain,
% 28.54/19.06 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB195) | (~nextState(constB195, constB196)) | (~v104(constB196)))),
% 28.54/19.06 inference(quant_inst,[status(thm)],[])).
% 28.54/19.06 tff(26866,plain,
% 28.54/19.06 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB195) | (~nextState(constB195, constB196)) | (~v104(constB196))),
% 28.54/19.06 inference(modus_ponens,[status(thm)],[26865, 26864])).
% 28.54/19.06 tff(26867,plain,
% 28.54/19.06 (~v104(constB196)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26866, 378, 26855, 26697])).
% 28.54/19.06 tff(26868,plain,
% 28.54/19.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB195, constB196)) | v102(constB196) | v104(constB196))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB195, constB196)) | v102(constB196) | v104(constB196))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26869,plain,
% 28.54/19.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB195, constB196)) | v102(constB196) | v104(constB196))),
% 28.54/19.06 inference(quant_inst,[status(thm)],[])).
% 28.54/19.06 tff(26870,plain,
% 28.54/19.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB195, constB196)) | v102(constB196) | v104(constB196)),
% 28.54/19.06 inference(modus_ponens,[status(thm)],[26869, 26868])).
% 28.54/19.06 tff(26871,plain,
% 28.54/19.06 (v102(constB196) | v104(constB196)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26870, 392, 26855])).
% 28.54/19.06 tff(26872,plain,
% 28.54/19.06 (v102(constB196)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26871, 26867])).
% 28.54/19.06 tff(26873,plain,
% 28.54/19.06 (v1(constB196) <=> v1(constB196)),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26874,axiom,(v1(constB196)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_196_1')).
% 28.54/19.06 tff(26875,plain,
% 28.54/19.06 (v1(constB196)),
% 28.54/19.06 inference(modus_ponens,[status(thm)],[26874, 26873])).
% 28.54/19.06 tff(26876,plain,
% 28.54/19.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB195, constB196)) | v101(constB196) | (~v102(constB196)) | (~v1(constB196)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB195, constB196)) | v101(constB196) | (~v102(constB196)) | (~v1(constB196)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26877,plain,
% 28.54/19.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB195, constB196)) | v101(constB196) | (~v102(constB196)) | (~v1(constB196)))),
% 28.54/19.06 inference(quant_inst,[status(thm)],[])).
% 28.54/19.06 tff(26878,plain,
% 28.54/19.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB195, constB196)) | v101(constB196) | (~v102(constB196)) | (~v1(constB196))),
% 28.54/19.06 inference(modus_ponens,[status(thm)],[26877, 26876])).
% 28.54/19.06 tff(26879,plain,
% 28.54/19.06 (v101(constB196) | (~v102(constB196))),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26878, 410, 26855, 26875])).
% 28.54/19.06 tff(26880,plain,
% 28.54/19.06 (v101(constB196)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26879, 26872])).
% 28.54/19.06 tff(26881,plain,
% 28.54/19.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26882,plain,
% 28.54/19.06 (((~nextState(constB195, constB196)) | (~v101(constB196)) | (~v110(constB196)) | v100(constB196)) <=> ((~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26883,plain,
% 28.54/19.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB195, constB196)) | (~v101(constB196)) | (~v110(constB196)) | v100(constB196))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196))))),
% 28.54/19.06 inference(monotonicity,[status(thm)],[26882])).
% 28.54/19.06 tff(26884,plain,
% 28.54/19.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB195, constB196)) | (~v101(constB196)) | (~v110(constB196)) | v100(constB196))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196)))),
% 28.54/19.06 inference(transitivity,[status(thm)],[26883, 26881])).
% 28.54/19.06 tff(26885,plain,
% 28.54/19.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB195, constB196)) | (~v101(constB196)) | (~v110(constB196)) | v100(constB196))),
% 28.54/19.06 inference(quant_inst,[status(thm)],[])).
% 28.54/19.06 tff(26886,plain,
% 28.54/19.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196))),
% 28.54/19.06 inference(modus_ponens,[status(thm)],[26885, 26884])).
% 28.54/19.06 tff(26887,plain,
% 28.54/19.06 (v100(constB196) | (~v101(constB196)) | (~v110(constB196))),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26886, 425, 26855])).
% 28.54/19.06 tff(26888,plain,
% 28.54/19.06 (v100(constB196) | (~v110(constB196))),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26887, 26880])).
% 28.54/19.06 tff(26889,plain,
% 28.54/19.06 (v100(constB196)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26888, 26863])).
% 28.54/19.06 tff(26890,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB195)) | v130(constB195, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB195)) | v130(constB195, 1))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26891,plain,
% 28.54/19.06 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB195)) | v130(constB195, 1))),
% 28.54/19.06 inference(quant_inst,[status(thm)],[])).
% 28.54/19.06 tff(26892,plain,
% 28.54/19.06 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB195)) | v130(constB195, 1)),
% 28.54/19.06 inference(modus_ponens,[status(thm)],[26891, 26890])).
% 28.54/19.06 tff(26893,plain,
% 28.54/19.06 (v130(constB195, 1)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26892, 841, 26791])).
% 28.54/19.06 tff(26894,plain,
% 28.54/19.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB195) | (~v130(constB195, 1)) | v127(constB195, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB195) | (~v130(constB195, 1)) | v127(constB195, 1))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26895,plain,
% 28.54/19.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB195) | (~v130(constB195, 1)) | v127(constB195, 1))),
% 28.54/19.06 inference(quant_inst,[status(thm)],[])).
% 28.54/19.06 tff(26896,plain,
% 28.54/19.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB195) | (~v130(constB195, 1)) | v127(constB195, 1)),
% 28.54/19.06 inference(modus_ponens,[status(thm)],[26895, 26894])).
% 28.54/19.06 tff(26897,plain,
% 28.54/19.06 ((~v130(constB195, 1)) | v127(constB195, 1)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26896, 855, 26837])).
% 28.54/19.06 tff(26898,plain,
% 28.54/19.06 (v127(constB195, 1)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26897, 26893])).
% 28.54/19.06 tff(26899,plain,
% 28.54/19.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB195, constB196)) | (~v127(constB195, 1)) | v129(constB196, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB195, constB196)) | (~v127(constB195, 1)) | v129(constB196, 1))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26900,plain,
% 28.54/19.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB195, constB196)) | (~v127(constB195, 1)) | v129(constB196, 1))),
% 28.54/19.06 inference(quant_inst,[status(thm)],[])).
% 28.54/19.06 tff(26901,plain,
% 28.54/19.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB195, constB196)) | (~v127(constB195, 1)) | v129(constB196, 1)),
% 28.54/19.06 inference(modus_ponens,[status(thm)],[26900, 26899])).
% 28.54/19.06 tff(26902,plain,
% 28.54/19.06 ((~v127(constB195, 1)) | v129(constB196, 1)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26901, 870, 26855])).
% 28.54/19.06 tff(26903,plain,
% 28.54/19.06 (v129(constB196, 1)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26902, 26898])).
% 28.54/19.06 tff(26904,plain,
% 28.54/19.06 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB196, 1) | (~v129(constB196, 1)) | (~v100(constB196)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB196, 1) | (~v129(constB196, 1)) | (~v100(constB196)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26905,plain,
% 28.54/19.06 ((v90(constB196, 1) | (~v100(constB196)) | (~v129(constB196, 1))) <=> (v90(constB196, 1) | (~v129(constB196, 1)) | (~v100(constB196)))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26906,plain,
% 28.54/19.06 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB196, 1) | (~v100(constB196)) | (~v129(constB196, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB196, 1) | (~v129(constB196, 1)) | (~v100(constB196))))),
% 28.54/19.06 inference(monotonicity,[status(thm)],[26905])).
% 28.54/19.06 tff(26907,plain,
% 28.54/19.06 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB196, 1) | (~v100(constB196)) | (~v129(constB196, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB196, 1) | (~v129(constB196, 1)) | (~v100(constB196)))),
% 28.54/19.06 inference(transitivity,[status(thm)],[26906, 26904])).
% 28.54/19.06 tff(26908,plain,
% 28.54/19.06 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB196, 1) | (~v100(constB196)) | (~v129(constB196, 1)))),
% 28.54/19.06 inference(quant_inst,[status(thm)],[])).
% 28.54/19.06 tff(26909,plain,
% 28.54/19.06 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB196, 1) | (~v129(constB196, 1)) | (~v100(constB196))),
% 28.54/19.06 inference(modus_ponens,[status(thm)],[26908, 26907])).
% 28.54/19.06 tff(26910,plain,
% 28.54/19.06 (v90(constB196, 1) | (~v100(constB196))),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26909, 885, 26903])).
% 28.54/19.06 tff(26911,plain,
% 28.54/19.06 (v90(constB196, 1)),
% 28.54/19.06 inference(unit_resolution,[status(thm)],[26910, 26889])).
% 28.54/19.06 tff(26912,plain,
% 28.54/19.06 ((~v1(constB197)) <=> (~v1(constB197))),
% 28.54/19.06 inference(rewrite,[status(thm)],[])).
% 28.54/19.06 tff(26913,axiom,(~v1(constB197)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_197_1_1')).
% 28.54/19.07 tff(26914,plain,
% 28.54/19.07 (~v1(constB197)),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[26913, 26912])).
% 28.54/19.07 tff(26915,plain,
% 28.54/19.07 (nextState(constB196, constB197) <=> nextState(constB196, constB197)),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(26916,axiom,(nextState(constB196, constB197)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_196_1')).
% 28.54/19.07 tff(26917,plain,
% 28.54/19.07 (nextState(constB196, constB197)),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[26916, 26915])).
% 28.54/19.07 tff(26918,plain,
% 28.54/19.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197)))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(26919,plain,
% 28.54/19.07 (((~nextState(constB196, constB197)) | (~v101(constB197)) | v1(constB197)) <=> (v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197)))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(26920,plain,
% 28.54/19.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB196, constB197)) | (~v101(constB197)) | v1(constB197))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197))))),
% 28.54/19.07 inference(monotonicity,[status(thm)],[26919])).
% 28.54/19.07 tff(26921,plain,
% 28.54/19.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB196, constB197)) | (~v101(constB197)) | v1(constB197))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197)))),
% 28.54/19.07 inference(transitivity,[status(thm)],[26920, 26918])).
% 28.54/19.07 tff(26922,plain,
% 28.54/19.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB196, constB197)) | (~v101(constB197)) | v1(constB197))),
% 28.54/19.07 inference(quant_inst,[status(thm)],[])).
% 28.54/19.07 tff(26923,plain,
% 28.54/19.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[26922, 26921])).
% 28.54/19.07 tff(26924,plain,
% 28.54/19.07 (~v101(constB197)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26923, 138, 26917, 26914])).
% 28.54/19.07 tff(26925,plain,
% 28.54/19.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB196, constB197)) | v101(constB197) | (~v100(constB197)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB196, constB197)) | v101(constB197) | (~v100(constB197)))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(26926,plain,
% 28.54/19.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB196, constB197)) | v101(constB197) | (~v100(constB197)))),
% 28.54/19.07 inference(quant_inst,[status(thm)],[])).
% 28.54/19.07 tff(26927,plain,
% 28.54/19.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB196, constB197)) | v101(constB197) | (~v100(constB197))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[26926, 26925])).
% 28.54/19.07 tff(26928,plain,
% 28.54/19.07 (v101(constB197) | (~v100(constB197))),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26927, 155, 26917])).
% 28.54/19.07 tff(26929,plain,
% 28.54/19.07 (~v100(constB197)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26928, 26924])).
% 28.54/19.07 tff(26930,plain,
% 28.54/19.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB196, 1)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB196, 1)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, 1))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(26931,plain,
% 28.54/19.07 (((~nextState(constB196, constB197)) | (~v90(constB196, 1)) | v100(constB197) | v90(constB197, 1)) <=> ((~v90(constB196, 1)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, 1))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(26932,plain,
% 28.54/19.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB196, constB197)) | (~v90(constB196, 1)) | v100(constB197) | v90(constB197, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB196, 1)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, 1)))),
% 28.54/19.07 inference(monotonicity,[status(thm)],[26931])).
% 28.54/19.07 tff(26933,plain,
% 28.54/19.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB196, constB197)) | (~v90(constB196, 1)) | v100(constB197) | v90(constB197, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB196, 1)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, 1))),
% 28.54/19.07 inference(transitivity,[status(thm)],[26932, 26930])).
% 28.54/19.07 tff(26934,plain,
% 28.54/19.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB196, constB197)) | (~v90(constB196, 1)) | v100(constB197) | v90(constB197, 1))),
% 28.54/19.07 inference(quant_inst,[status(thm)],[])).
% 28.54/19.07 tff(26935,plain,
% 28.54/19.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB196, 1)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, 1)),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[26934, 26933])).
% 28.54/19.07 tff(26936,plain,
% 28.54/19.07 ((~v90(constB196, 1)) | v100(constB197) | v90(constB197, 1)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26935, 903, 26917])).
% 28.54/19.07 tff(26937,plain,
% 28.54/19.07 ((~v90(constB196, 1)) | v90(constB197, 1)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26936, 26929])).
% 28.54/19.07 tff(26938,plain,
% 28.54/19.07 (v90(constB197, 1)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26937, 26911])).
% 28.54/19.07 tff(26939,plain,
% 28.54/19.07 (^[VarCurr: state_type] : refl(((~v90(VarCurr, 1)) | v88(VarCurr, 1)) <=> ((~v90(VarCurr, 1)) | v88(VarCurr, 1)))),
% 28.54/19.07 inference(bind,[status(th)],[])).
% 28.54/19.07 tff(26940,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))),
% 28.54/19.07 inference(quant_intro,[status(thm)],[26939])).
% 28.54/19.07 tff(26941,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(26942,axiom,(![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_3')).
% 28.54/19.07 tff(26943,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[26942, 26941])).
% 28.54/19.07 tff(26944,plain,(
% 28.54/19.07 ![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))),
% 28.54/19.07 inference(skolemize,[status(sab)],[26943])).
% 28.54/19.07 tff(26945,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[26944, 26940])).
% 28.54/19.07 tff(26946,plain,
% 28.54/19.07 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB197, 1)) | v88(constB197, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB197, 1)) | v88(constB197, 1))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(26947,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB197, 1)) | v88(constB197, 1))),
% 28.54/19.07 inference(quant_inst,[status(thm)],[])).
% 28.54/19.07 tff(26948,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB197, 1)) | v88(constB197, 1)),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[26947, 26946])).
% 28.54/19.07 tff(26949,plain,
% 28.54/19.07 (v88(constB197, 1)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26948, 26945, 26938])).
% 28.54/19.07 tff(26950,plain,
% 28.54/19.07 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB195)) | (~v130(constB195, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB195)) | (~v130(constB195, 0)))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(26951,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB195)) | (~v130(constB195, 0)))),
% 28.54/19.07 inference(quant_inst,[status(thm)],[])).
% 28.54/19.07 tff(26952,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB195)) | (~v130(constB195, 0))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[26951, 26950])).
% 28.54/19.07 tff(26953,plain,
% 28.54/19.07 (~v130(constB195, 0)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26952, 919, 26791])).
% 28.54/19.07 tff(26954,plain,
% 28.54/19.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB195, 0)) | v26(constB195) | v130(constB195, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB195, 0)) | v26(constB195) | v130(constB195, 0))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(26955,plain,
% 28.54/19.07 ((v26(constB195) | v130(constB195, 0) | (~v127(constB195, 0))) <=> ((~v127(constB195, 0)) | v26(constB195) | v130(constB195, 0))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(26956,plain,
% 28.54/19.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB195) | v130(constB195, 0) | (~v127(constB195, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB195, 0)) | v26(constB195) | v130(constB195, 0)))),
% 28.54/19.07 inference(monotonicity,[status(thm)],[26955])).
% 28.54/19.07 tff(26957,plain,
% 28.54/19.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB195) | v130(constB195, 0) | (~v127(constB195, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB195, 0)) | v26(constB195) | v130(constB195, 0))),
% 28.54/19.07 inference(transitivity,[status(thm)],[26956, 26954])).
% 28.54/19.07 tff(26958,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB195) | v130(constB195, 0) | (~v127(constB195, 0)))),
% 28.54/19.07 inference(quant_inst,[status(thm)],[])).
% 28.54/19.07 tff(26959,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB195, 0)) | v26(constB195) | v130(constB195, 0)),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[26958, 26957])).
% 28.54/19.07 tff(26960,plain,
% 28.54/19.07 ((~v127(constB195, 0)) | v130(constB195, 0)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26959, 933, 26837])).
% 28.54/19.07 tff(26961,plain,
% 28.54/19.07 (~v127(constB195, 0)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26960, 26953])).
% 28.54/19.07 tff(26962,plain,
% 28.54/19.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB195, constB196)) | v127(constB195, 0) | (~v129(constB196, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB195, constB196)) | v127(constB195, 0) | (~v129(constB196, 0)))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(26963,plain,
% 28.54/19.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB195, constB196)) | v127(constB195, 0) | (~v129(constB196, 0)))),
% 28.54/19.07 inference(quant_inst,[status(thm)],[])).
% 28.54/19.07 tff(26964,plain,
% 28.54/19.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB195, constB196)) | v127(constB195, 0) | (~v129(constB196, 0))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[26963, 26962])).
% 28.54/19.07 tff(26965,plain,
% 28.54/19.07 (v127(constB195, 0) | (~v129(constB196, 0))),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26964, 951, 26855])).
% 28.54/19.07 tff(26966,plain,
% 28.54/19.07 (~v129(constB196, 0)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26965, 26961])).
% 28.54/19.07 tff(26967,plain,
% 28.54/19.07 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB196, 0)) | v129(constB196, 0) | (~v100(constB196)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB196, 0)) | v129(constB196, 0) | (~v100(constB196)))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(26968,plain,
% 28.54/19.07 (((~v90(constB196, 0)) | (~v100(constB196)) | v129(constB196, 0)) <=> ((~v90(constB196, 0)) | v129(constB196, 0) | (~v100(constB196)))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(26969,plain,
% 28.54/19.07 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB196, 0)) | (~v100(constB196)) | v129(constB196, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB196, 0)) | v129(constB196, 0) | (~v100(constB196))))),
% 28.54/19.07 inference(monotonicity,[status(thm)],[26968])).
% 28.54/19.07 tff(26970,plain,
% 28.54/19.07 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB196, 0)) | (~v100(constB196)) | v129(constB196, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB196, 0)) | v129(constB196, 0) | (~v100(constB196)))),
% 28.54/19.07 inference(transitivity,[status(thm)],[26969, 26967])).
% 28.54/19.07 tff(26971,plain,
% 28.54/19.07 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB196, 0)) | (~v100(constB196)) | v129(constB196, 0))),
% 28.54/19.07 inference(quant_inst,[status(thm)],[])).
% 28.54/19.07 tff(26972,plain,
% 28.54/19.07 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB196, 0)) | v129(constB196, 0) | (~v100(constB196))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[26971, 26970])).
% 28.54/19.07 tff(26973,plain,
% 28.54/19.07 ((~v90(constB196, 0)) | (~v100(constB196))),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26972, 966, 26966])).
% 28.54/19.07 tff(26974,plain,
% 28.54/19.07 (~v90(constB196, 0)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26973, 26889])).
% 28.54/19.07 tff(26975,plain,
% 28.54/19.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB196, 0) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB196, 0) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, 0)))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(26976,plain,
% 28.54/19.07 (((~nextState(constB196, constB197)) | v90(constB196, 0) | v100(constB197) | (~v90(constB197, 0))) <=> (v90(constB196, 0) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, 0)))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(26977,plain,
% 28.54/19.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB196, constB197)) | v90(constB196, 0) | v100(constB197) | (~v90(constB197, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB196, 0) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, 0))))),
% 28.54/19.07 inference(monotonicity,[status(thm)],[26976])).
% 28.54/19.07 tff(26978,plain,
% 28.54/19.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB196, constB197)) | v90(constB196, 0) | v100(constB197) | (~v90(constB197, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB196, 0) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, 0)))),
% 28.54/19.07 inference(transitivity,[status(thm)],[26977, 26975])).
% 28.54/19.07 tff(26979,plain,
% 28.54/19.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB196, constB197)) | v90(constB196, 0) | v100(constB197) | (~v90(constB197, 0)))),
% 28.54/19.07 inference(quant_inst,[status(thm)],[])).
% 28.54/19.07 tff(26980,plain,
% 28.54/19.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB196, 0) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, 0))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[26979, 26978])).
% 28.54/19.07 tff(26981,plain,
% 28.54/19.07 (v90(constB196, 0) | v100(constB197) | (~v90(constB197, 0))),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26980, 212, 26917])).
% 28.54/19.07 tff(26982,plain,
% 28.54/19.07 (v90(constB196, 0) | (~v90(constB197, 0))),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26981, 26929])).
% 28.54/19.07 tff(26983,plain,
% 28.54/19.07 (~v90(constB197, 0)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26982, 26974])).
% 28.54/19.07 tff(26984,plain,
% 28.54/19.07 (^[VarCurr: state_type] : refl(((~v88(VarCurr, 0)) | v90(VarCurr, 0)) <=> ((~v88(VarCurr, 0)) | v90(VarCurr, 0)))),
% 28.54/19.07 inference(bind,[status(th)],[])).
% 28.54/19.07 tff(26985,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))),
% 28.54/19.07 inference(quant_intro,[status(thm)],[26984])).
% 28.54/19.07 tff(26986,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(26987,axiom,(![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_2')).
% 28.54/19.07 tff(26988,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[26987, 26986])).
% 28.54/19.07 tff(26989,plain,(
% 28.54/19.07 ![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))),
% 28.54/19.07 inference(skolemize,[status(sab)],[26988])).
% 28.54/19.07 tff(26990,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[26989, 26985])).
% 28.54/19.07 tff(26991,plain,
% 28.54/19.07 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB197, 0)) | v90(constB197, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB197, 0)) | v90(constB197, 0))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(26992,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB197, 0)) | v90(constB197, 0))),
% 28.54/19.07 inference(quant_inst,[status(thm)],[])).
% 28.54/19.07 tff(26993,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB197, 0)) | v90(constB197, 0)),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[26992, 26991])).
% 28.54/19.07 tff(26994,plain,
% 28.54/19.07 (~v88(constB197, 0)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26993, 26990, 26983])).
% 28.54/19.07 tff(26995,plain,
% 28.54/19.07 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB195)) | (~v130(constB195, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB195)) | (~v130(constB195, 2)))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(26996,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB195)) | (~v130(constB195, 2)))),
% 28.54/19.07 inference(quant_inst,[status(thm)],[])).
% 28.54/19.07 tff(26997,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB195)) | (~v130(constB195, 2))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[26996, 26995])).
% 28.54/19.07 tff(26998,plain,
% 28.54/19.07 (~v130(constB195, 2)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26997, 785, 26791])).
% 28.54/19.07 tff(26999,plain,
% 28.54/19.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB195, 2)) | v26(constB195) | v130(constB195, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB195, 2)) | v26(constB195) | v130(constB195, 2))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(27000,plain,
% 28.54/19.07 ((v26(constB195) | v130(constB195, 2) | (~v127(constB195, 2))) <=> ((~v127(constB195, 2)) | v26(constB195) | v130(constB195, 2))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(27001,plain,
% 28.54/19.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB195) | v130(constB195, 2) | (~v127(constB195, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB195, 2)) | v26(constB195) | v130(constB195, 2)))),
% 28.54/19.07 inference(monotonicity,[status(thm)],[27000])).
% 28.54/19.07 tff(27002,plain,
% 28.54/19.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB195) | v130(constB195, 2) | (~v127(constB195, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB195, 2)) | v26(constB195) | v130(constB195, 2))),
% 28.54/19.07 inference(transitivity,[status(thm)],[27001, 26999])).
% 28.54/19.07 tff(27003,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB195) | v130(constB195, 2) | (~v127(constB195, 2)))),
% 28.54/19.07 inference(quant_inst,[status(thm)],[])).
% 28.54/19.07 tff(27004,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB195, 2)) | v26(constB195) | v130(constB195, 2)),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27003, 27002])).
% 28.54/19.07 tff(27005,plain,
% 28.54/19.07 ((~v127(constB195, 2)) | v130(constB195, 2)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[27004, 455, 26837])).
% 28.54/19.07 tff(27006,plain,
% 28.54/19.07 (~v127(constB195, 2)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[27005, 26998])).
% 28.54/19.07 tff(27007,plain,
% 28.54/19.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB195, constB196)) | v127(constB195, 2) | (~v129(constB196, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB195, constB196)) | v127(constB195, 2) | (~v129(constB196, 2)))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(27008,plain,
% 28.54/19.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB195, constB196)) | v127(constB195, 2) | (~v129(constB196, 2)))),
% 28.54/19.07 inference(quant_inst,[status(thm)],[])).
% 28.54/19.07 tff(27009,plain,
% 28.54/19.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB195, constB196)) | v127(constB195, 2) | (~v129(constB196, 2))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27008, 27007])).
% 28.54/19.07 tff(27010,plain,
% 28.54/19.07 (v127(constB195, 2) | (~v129(constB196, 2))),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[27009, 473, 26855])).
% 28.54/19.07 tff(27011,plain,
% 28.54/19.07 (~v129(constB196, 2)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[27010, 27006])).
% 28.54/19.07 tff(27012,plain,
% 28.54/19.07 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB196, 2)) | v129(constB196, 2) | (~v100(constB196)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB196, 2)) | v129(constB196, 2) | (~v100(constB196)))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(27013,plain,
% 28.54/19.07 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB196, 2)) | v129(constB196, 2) | (~v100(constB196)))),
% 28.54/19.07 inference(quant_inst,[status(thm)],[])).
% 28.54/19.07 tff(27014,plain,
% 28.54/19.07 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB196, 2)) | v129(constB196, 2) | (~v100(constB196))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27013, 27012])).
% 28.54/19.07 tff(27015,plain,
% 28.54/19.07 ((~v90(constB196, 2)) | (~v100(constB196))),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[27014, 488, 27011])).
% 28.54/19.07 tff(27016,plain,
% 28.54/19.07 (~v90(constB196, 2)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[27015, 26889])).
% 28.54/19.07 tff(27017,plain,
% 28.54/19.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB196, 2) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB196, 2) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, 2)))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(27018,plain,
% 28.54/19.07 (((~nextState(constB196, constB197)) | v90(constB196, 2) | v100(constB197) | (~v90(constB197, 2))) <=> (v90(constB196, 2) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, 2)))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(27019,plain,
% 28.54/19.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB196, constB197)) | v90(constB196, 2) | v100(constB197) | (~v90(constB197, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB196, 2) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, 2))))),
% 28.54/19.07 inference(monotonicity,[status(thm)],[27018])).
% 28.54/19.07 tff(27020,plain,
% 28.54/19.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB196, constB197)) | v90(constB196, 2) | v100(constB197) | (~v90(constB197, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB196, 2) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, 2)))),
% 28.54/19.07 inference(transitivity,[status(thm)],[27019, 27017])).
% 28.54/19.07 tff(27021,plain,
% 28.54/19.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB196, constB197)) | v90(constB196, 2) | v100(constB197) | (~v90(constB197, 2)))),
% 28.54/19.07 inference(quant_inst,[status(thm)],[])).
% 28.54/19.07 tff(27022,plain,
% 28.54/19.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB196, 2) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, 2))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27021, 27020])).
% 28.54/19.07 tff(27023,plain,
% 28.54/19.07 (v90(constB196, 2) | v100(constB197) | (~v90(constB197, 2))),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[27022, 170, 26917])).
% 28.54/19.07 tff(27024,plain,
% 28.54/19.07 (v90(constB196, 2) | (~v90(constB197, 2))),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[27023, 26929])).
% 28.54/19.07 tff(27025,plain,
% 28.54/19.07 (~v90(constB197, 2)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[27024, 27016])).
% 28.54/19.07 tff(27026,plain,
% 28.54/19.07 (^[VarCurr: state_type] : refl(((~v88(VarCurr, 2)) | v90(VarCurr, 2)) <=> ((~v88(VarCurr, 2)) | v90(VarCurr, 2)))),
% 28.54/19.07 inference(bind,[status(th)],[])).
% 28.54/19.07 tff(27027,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))),
% 28.54/19.07 inference(quant_intro,[status(thm)],[27026])).
% 28.54/19.07 tff(27028,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(27029,axiom,(![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_6')).
% 28.54/19.07 tff(27030,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27029, 27028])).
% 28.54/19.07 tff(27031,plain,(
% 28.54/19.07 ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))),
% 28.54/19.07 inference(skolemize,[status(sab)],[27030])).
% 28.54/19.07 tff(27032,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27031, 27027])).
% 28.54/19.07 tff(27033,plain,
% 28.54/19.07 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB197, 2)) | v90(constB197, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB197, 2)) | v90(constB197, 2))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(27034,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB197, 2)) | v90(constB197, 2))),
% 28.54/19.07 inference(quant_inst,[status(thm)],[])).
% 28.54/19.07 tff(27035,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB197, 2)) | v90(constB197, 2)),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27034, 27033])).
% 28.54/19.07 tff(27036,plain,
% 28.54/19.07 (~v88(constB197, 2)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[27035, 27032, 27025])).
% 28.54/19.07 tff(27037,assumption,(~v143(constB197)), introduced(assumption)).
% 28.54/19.07 tff(27038,plain,
% 28.54/19.07 (^[VarCurr: state_type] : refl((v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr)) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr)))),
% 28.54/19.07 inference(bind,[status(th)],[])).
% 28.54/19.07 tff(27039,plain,
% 28.54/19.07 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 28.54/19.07 inference(quant_intro,[status(thm)],[27038])).
% 28.54/19.07 tff(27040,plain,
% 28.54/19.07 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(27041,plain,
% 28.54/19.07 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v88(VarCurr, 0) | v88(VarCurr, 2)) | (~v88(VarCurr, 1))) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0))), ((((v88(VarCurr, 0) | v88(VarCurr, 2)) | (~v88(VarCurr, 1))) | v143(VarCurr)) <=> ((v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0)) | v143(VarCurr)))), rewrite(((v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0)) | v143(VarCurr)) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))), ((((v88(VarCurr, 0) | v88(VarCurr, 2)) | (~v88(VarCurr, 1))) | v143(VarCurr)) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))))),
% 28.54/19.07 inference(bind,[status(th)],[])).
% 28.54/19.07 tff(27042,plain,
% 28.54/19.07 (![VarCurr: state_type] : (((v88(VarCurr, 0) | v88(VarCurr, 2)) | (~v88(VarCurr, 1))) | v143(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 28.54/19.07 inference(quant_intro,[status(thm)],[27041])).
% 28.54/19.07 tff(27043,axiom,(![VarCurr: state_type] : (((v88(VarCurr, 0) | v88(VarCurr, 2)) | (~v88(VarCurr, 1))) | v143(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_12_1_1_1')).
% 28.54/19.07 tff(27044,plain,
% 28.54/19.07 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27043, 27042])).
% 28.54/19.07 tff(27045,plain,
% 28.54/19.07 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27044, 27040])).
% 28.54/19.07 tff(27046,plain,(
% 28.54/19.07 ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 28.54/19.07 inference(skolemize,[status(sab)],[27045])).
% 28.54/19.07 tff(27047,plain,
% 28.54/19.07 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27046, 27039])).
% 28.54/19.07 tff(27048,plain,
% 28.54/19.07 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB197, 0) | v88(constB197, 2) | (~v88(constB197, 1)) | v143(constB197))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB197, 0) | v88(constB197, 2) | (~v88(constB197, 1)) | v143(constB197))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(27049,plain,
% 28.54/19.07 ((v88(constB197, 2) | (~v88(constB197, 1)) | v88(constB197, 0) | v143(constB197)) <=> (v88(constB197, 0) | v88(constB197, 2) | (~v88(constB197, 1)) | v143(constB197))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(27050,plain,
% 28.54/19.07 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB197, 2) | (~v88(constB197, 1)) | v88(constB197, 0) | v143(constB197))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB197, 0) | v88(constB197, 2) | (~v88(constB197, 1)) | v143(constB197)))),
% 28.54/19.07 inference(monotonicity,[status(thm)],[27049])).
% 28.54/19.07 tff(27051,plain,
% 28.54/19.07 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB197, 2) | (~v88(constB197, 1)) | v88(constB197, 0) | v143(constB197))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB197, 0) | v88(constB197, 2) | (~v88(constB197, 1)) | v143(constB197))),
% 28.54/19.07 inference(transitivity,[status(thm)],[27050, 27048])).
% 28.54/19.07 tff(27052,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB197, 2) | (~v88(constB197, 1)) | v88(constB197, 0) | v143(constB197))),
% 28.54/19.07 inference(quant_inst,[status(thm)],[])).
% 28.54/19.07 tff(27053,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB197, 0) | v88(constB197, 2) | (~v88(constB197, 1)) | v143(constB197)),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27052, 27051])).
% 28.54/19.07 tff(27054,plain,
% 28.54/19.07 (v88(constB197, 0) | v88(constB197, 2) | (~v88(constB197, 1))),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[27053, 27047, 27037])).
% 28.54/19.07 tff(27055,plain,
% 28.54/19.07 ($false),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[27054, 27036, 26994, 26949])).
% 28.54/19.07 tff(27056,plain,((~v120(constB195)) | v143(constB197)), inference(lemma,lemma(discharge,[]))).
% 28.54/19.07 tff(27057,plain,
% 28.54/19.07 (v143(constB197)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[27056, 26790])).
% 28.54/19.07 tff(27058,plain,
% 28.54/19.07 (^[VarCurr: state_type] : refl(((~v143(VarCurr)) | v142(VarCurr)) <=> ((~v143(VarCurr)) | v142(VarCurr)))),
% 28.54/19.07 inference(bind,[status(th)],[])).
% 28.54/19.07 tff(27059,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 28.54/19.07 inference(quant_intro,[status(thm)],[27058])).
% 28.54/19.07 tff(27060,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(27061,axiom,(![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_2')).
% 28.54/19.07 tff(27062,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27061, 27060])).
% 28.54/19.07 tff(27063,plain,(
% 28.54/19.07 ![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 28.54/19.07 inference(skolemize,[status(sab)],[27062])).
% 28.54/19.07 tff(27064,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27063, 27059])).
% 28.54/19.07 tff(27065,plain,
% 28.54/19.07 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB197)) | v142(constB197))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB197)) | v142(constB197))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(27066,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB197)) | v142(constB197))),
% 28.54/19.07 inference(quant_inst,[status(thm)],[])).
% 28.54/19.07 tff(27067,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB197)) | v142(constB197)),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27066, 27065])).
% 28.54/19.07 tff(27068,plain,
% 28.54/19.07 (v142(constB197)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[27067, 27064, 27057])).
% 28.54/19.07 tff(27069,plain,
% 28.54/19.07 (^[VarCurr: state_type] : refl(((~v142(VarCurr)) | v165(VarCurr)) <=> ((~v142(VarCurr)) | v165(VarCurr)))),
% 28.54/19.07 inference(bind,[status(th)],[])).
% 28.54/19.07 tff(27070,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr)) <=> ![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))),
% 28.54/19.07 inference(quant_intro,[status(thm)],[27069])).
% 28.54/19.07 tff(27071,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr)) <=> ![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(27072,axiom,(![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38_1_1_2')).
% 28.54/19.07 tff(27073,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27072, 27071])).
% 28.54/19.07 tff(27074,plain,(
% 28.54/19.07 ![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))),
% 28.54/19.07 inference(skolemize,[status(sab)],[27073])).
% 28.54/19.07 tff(27075,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27074, 27070])).
% 28.54/19.07 tff(27076,plain,
% 28.54/19.07 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB197)) | v165(constB197))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB197)) | v165(constB197))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(27077,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB197)) | v165(constB197))),
% 28.54/19.07 inference(quant_inst,[status(thm)],[])).
% 28.54/19.07 tff(27078,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB197)) | v165(constB197)),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27077, 27076])).
% 28.54/19.07 tff(27079,plain,
% 28.54/19.07 (v165(constB197)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[27078, 27075, 27068])).
% 28.54/19.07 tff(27080,plain,
% 28.54/19.07 (^[VarCurr: state_type] : refl((v164(VarCurr) | (~v165(VarCurr))) <=> (v164(VarCurr) | (~v165(VarCurr))))),
% 28.54/19.07 inference(bind,[status(th)],[])).
% 28.54/19.07 tff(27081,plain,
% 28.54/19.07 (![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr))) <=> ![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))),
% 28.54/19.07 inference(quant_intro,[status(thm)],[27080])).
% 28.54/19.07 tff(27082,plain,
% 28.54/19.07 (![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr))) <=> ![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(27083,plain,
% 28.54/19.07 (^[VarCurr: state_type] : rewrite(((~v165(VarCurr)) | v164(VarCurr)) <=> (v164(VarCurr) | (~v165(VarCurr))))),
% 28.54/19.07 inference(bind,[status(th)],[])).
% 28.54/19.07 tff(27084,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v165(VarCurr)) | v164(VarCurr)) <=> ![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))),
% 28.54/19.07 inference(quant_intro,[status(thm)],[27083])).
% 28.54/19.07 tff(27085,axiom,(![VarCurr: state_type] : ((~v165(VarCurr)) | v164(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_39_1_1_1')).
% 28.54/19.07 tff(27086,plain,
% 28.54/19.07 (![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27085, 27084])).
% 28.54/19.07 tff(27087,plain,
% 28.54/19.07 (![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27086, 27082])).
% 28.54/19.07 tff(27088,plain,(
% 28.54/19.07 ![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))),
% 28.54/19.07 inference(skolemize,[status(sab)],[27087])).
% 28.54/19.07 tff(27089,plain,
% 28.54/19.07 (![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27088, 27081])).
% 28.54/19.07 tff(27090,plain,
% 28.54/19.07 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB197) | (~v165(constB197)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB197) | (~v165(constB197)))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(27091,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB197) | (~v165(constB197)))),
% 28.54/19.07 inference(quant_inst,[status(thm)],[])).
% 28.54/19.07 tff(27092,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB197) | (~v165(constB197))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27091, 27090])).
% 28.54/19.07 tff(27093,plain,
% 28.54/19.07 (v164(constB197)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[27092, 27089, 27079])).
% 28.54/19.07 tff(27094,plain,
% 28.54/19.07 (v118(constB195)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26797, 690, 26790])).
% 28.54/19.07 tff(27095,plain,
% 28.54/19.07 (v117(constB195)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26804, 258, 27094])).
% 28.54/19.07 tff(27096,plain,
% 28.54/19.07 (v116(constB195)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26811, 272, 27095])).
% 28.54/19.07 tff(27097,plain,
% 28.54/19.07 (v115(constB195)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26818, 286, 27096])).
% 28.54/19.07 tff(27098,plain,
% 28.54/19.07 (v114(constB195)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26825, 300, 27097])).
% 28.54/19.07 tff(27099,plain,
% 28.54/19.07 (v113(constB195)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26832, 314, 27098])).
% 28.54/19.07 tff(27100,plain,
% 28.54/19.07 (v112(constB195)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26844, 27099])).
% 28.54/19.07 tff(27101,plain,
% 28.54/19.07 (v108(constB195)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26851, 340, 27100])).
% 28.54/19.07 tff(27102,plain,
% 28.54/19.07 (v110(constB196)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26862, 27101])).
% 28.54/19.07 tff(27103,plain,
% 28.54/19.07 (v100(constB196)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26888, 27102])).
% 28.54/19.07 tff(27104,plain,
% 28.54/19.07 (v130(constB195, 1)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26892, 841, 26790])).
% 28.54/19.07 tff(27105,plain,
% 28.54/19.07 (v127(constB195, 1)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26897, 27104])).
% 28.54/19.07 tff(27106,plain,
% 28.54/19.07 (v129(constB196, 1)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26902, 27105])).
% 28.54/19.07 tff(27107,plain,
% 28.54/19.07 (v90(constB196, 1) | (~v100(constB196))),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26909, 885, 27106])).
% 28.54/19.07 tff(27108,plain,
% 28.54/19.07 (v90(constB196, 1)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[27107, 27103])).
% 28.54/19.07 tff(27109,plain,
% 28.54/19.07 (v90(constB197, 1)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26937, 27108])).
% 28.54/19.07 tff(27110,plain,
% 28.54/19.07 (v88(constB197, 1)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[26948, 26945, 27109])).
% 28.54/19.07 tff(27111,plain,
% 28.54/19.07 (^[VarCurr: state_type] : refl(((~v139(VarCurr)) | (~v88(VarCurr, 1))) <=> ((~v139(VarCurr)) | (~v88(VarCurr, 1))))),
% 28.54/19.07 inference(bind,[status(th)],[])).
% 28.54/19.07 tff(27112,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))),
% 28.54/19.07 inference(quant_intro,[status(thm)],[27111])).
% 28.54/19.07 tff(27113,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(27114,axiom,(![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_3')).
% 28.54/19.07 tff(27115,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27114, 27113])).
% 28.54/19.07 tff(27116,plain,(
% 28.54/19.07 ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))),
% 28.54/19.07 inference(skolemize,[status(sab)],[27115])).
% 28.54/19.07 tff(27117,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27116, 27112])).
% 28.54/19.07 tff(27118,plain,
% 28.54/19.07 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB197)) | (~v88(constB197, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB197)) | (~v88(constB197, 1)))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(27119,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB197)) | (~v88(constB197, 1)))),
% 28.54/19.07 inference(quant_inst,[status(thm)],[])).
% 28.54/19.07 tff(27120,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB197)) | (~v88(constB197, 1))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27119, 27118])).
% 28.54/19.07 tff(27121,plain,
% 28.54/19.07 (~v139(constB197)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[27120, 27117, 27110])).
% 28.54/19.07 tff(27122,plain,
% 28.54/19.07 (^[VarCurr: state_type] : refl(((~v140(VarCurr)) | (~v88(VarCurr, 1))) <=> ((~v140(VarCurr)) | (~v88(VarCurr, 1))))),
% 28.54/19.07 inference(bind,[status(th)],[])).
% 28.54/19.07 tff(27123,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))),
% 28.54/19.07 inference(quant_intro,[status(thm)],[27122])).
% 28.54/19.07 tff(27124,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(27125,axiom,(![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_4')).
% 28.54/19.07 tff(27126,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27125, 27124])).
% 28.54/19.07 tff(27127,plain,(
% 28.54/19.07 ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))),
% 28.54/19.07 inference(skolemize,[status(sab)],[27126])).
% 28.54/19.07 tff(27128,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27127, 27123])).
% 28.54/19.07 tff(27129,plain,
% 28.54/19.07 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB197)) | (~v88(constB197, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB197)) | (~v88(constB197, 1)))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(27130,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB197)) | (~v88(constB197, 1)))),
% 28.54/19.07 inference(quant_inst,[status(thm)],[])).
% 28.54/19.07 tff(27131,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB197)) | (~v88(constB197, 1))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27130, 27129])).
% 28.54/19.07 tff(27132,plain,
% 28.54/19.07 (~v140(constB197)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[27131, 27128, 27110])).
% 28.54/19.07 tff(27133,plain,
% 28.54/19.07 (^[VarCurr: state_type] : refl((v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr))) <=> (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr))))),
% 28.54/19.07 inference(bind,[status(th)],[])).
% 28.54/19.07 tff(27134,plain,
% 28.54/19.07 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))),
% 28.54/19.07 inference(quant_intro,[status(thm)],[27133])).
% 28.54/19.07 tff(27135,plain,
% 28.54/19.07 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(27136,plain,
% 28.54/19.07 (^[VarCurr: state_type] : rewrite(((v139(VarCurr) | v140(VarCurr)) | (~v168(VarCurr))) <=> (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr))))),
% 28.54/19.07 inference(bind,[status(th)],[])).
% 28.54/19.07 tff(27137,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((v139(VarCurr) | v140(VarCurr)) | (~v168(VarCurr))) <=> ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))),
% 28.54/19.07 inference(quant_intro,[status(thm)],[27136])).
% 28.54/19.07 tff(27138,axiom,(![VarCurr: state_type] : ((v139(VarCurr) | v140(VarCurr)) | (~v168(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2_1_1')).
% 28.54/19.07 tff(27139,plain,
% 28.54/19.07 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27138, 27137])).
% 28.54/19.07 tff(27140,plain,
% 28.54/19.07 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27139, 27135])).
% 28.54/19.07 tff(27141,plain,(
% 28.54/19.07 ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))),
% 28.54/19.07 inference(skolemize,[status(sab)],[27140])).
% 28.54/19.07 tff(27142,plain,
% 28.54/19.07 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27141, 27134])).
% 28.54/19.07 tff(27143,plain,
% 28.54/19.07 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB197) | v140(constB197) | (~v168(constB197)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB197) | v140(constB197) | (~v168(constB197)))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(27144,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB197) | v140(constB197) | (~v168(constB197)))),
% 28.54/19.07 inference(quant_inst,[status(thm)],[])).
% 28.54/19.07 tff(27145,plain,
% 28.54/19.07 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB197) | v140(constB197) | (~v168(constB197))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27144, 27143])).
% 28.54/19.07 tff(27146,plain,
% 28.54/19.07 (~v168(constB197)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[27145, 27142, 27132, 27121])).
% 28.54/19.07 tff(27147,plain,
% 28.54/19.07 (^[VarNext: state_type] : refl(((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext))) <=> ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext))))),
% 28.54/19.07 inference(bind,[status(th)],[])).
% 28.54/19.07 tff(27148,plain,
% 28.54/19.07 (![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext))) <=> ![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))),
% 28.54/19.07 inference(quant_intro,[status(thm)],[27147])).
% 28.54/19.07 tff(27149,plain,
% 28.54/19.07 (![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext))) <=> ![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(27150,plain,
% 28.54/19.07 (^[VarNext: state_type] : trans(monotonicity(rewrite(((~v164(VarNext)) | (~v161(VarNext))) <=> ((~v164(VarNext)) | (~v161(VarNext)))), ((((~v164(VarNext)) | (~v161(VarNext))) | v168(VarNext)) <=> (((~v164(VarNext)) | (~v161(VarNext))) | v168(VarNext)))), rewrite((((~v164(VarNext)) | (~v161(VarNext))) | v168(VarNext)) <=> ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))), ((((~v164(VarNext)) | (~v161(VarNext))) | v168(VarNext)) <=> ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))))),
% 28.54/19.07 inference(bind,[status(th)],[])).
% 28.54/19.07 tff(27151,plain,
% 28.54/19.07 (![VarNext: state_type] : (((~v164(VarNext)) | (~v161(VarNext))) | v168(VarNext)) <=> ![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))),
% 28.54/19.07 inference(quant_intro,[status(thm)],[27150])).
% 28.54/19.07 tff(27152,axiom,(![VarNext: state_type] : (((~v164(VarNext)) | (~v161(VarNext))) | v168(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_5_2')).
% 28.54/19.07 tff(27153,plain,
% 28.54/19.07 (![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27152, 27151])).
% 28.54/19.07 tff(27154,plain,
% 28.54/19.07 (![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27153, 27149])).
% 28.54/19.07 tff(27155,plain,(
% 28.54/19.07 ![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))),
% 28.54/19.07 inference(skolemize,[status(sab)],[27154])).
% 28.54/19.07 tff(27156,plain,
% 28.54/19.07 (![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27155, 27148])).
% 28.54/19.07 tff(27157,plain,
% 28.54/19.07 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB197)) | (~v164(constB197)) | v168(constB197))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB197)) | (~v164(constB197)) | v168(constB197))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(27158,plain,
% 28.54/19.07 (((~v164(constB197)) | v168(constB197) | (~v161(constB197))) <=> ((~v161(constB197)) | (~v164(constB197)) | v168(constB197))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(27159,plain,
% 28.54/19.07 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB197)) | v168(constB197) | (~v161(constB197)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB197)) | (~v164(constB197)) | v168(constB197)))),
% 28.54/19.07 inference(monotonicity,[status(thm)],[27158])).
% 28.54/19.07 tff(27160,plain,
% 28.54/19.07 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB197)) | v168(constB197) | (~v161(constB197)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB197)) | (~v164(constB197)) | v168(constB197))),
% 28.54/19.07 inference(transitivity,[status(thm)],[27159, 27157])).
% 28.54/19.07 tff(27161,plain,
% 28.54/19.07 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB197)) | v168(constB197) | (~v161(constB197)))),
% 28.54/19.07 inference(quant_inst,[status(thm)],[])).
% 28.54/19.07 tff(27162,plain,
% 28.54/19.07 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB197)) | (~v164(constB197)) | v168(constB197)),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27161, 27160])).
% 28.54/19.07 tff(27163,plain,
% 28.54/19.07 ((~v161(constB197)) | (~v164(constB197))),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[27162, 27156, 27146])).
% 28.54/19.07 tff(27164,plain,
% 28.54/19.07 (~v161(constB197)),
% 28.54/19.07 inference(unit_resolution,[status(thm)],[27163, 27093])).
% 28.54/19.07 tff(27165,plain,
% 28.54/19.07 (^[VarCurr: state_type] : refl((v161(VarCurr) | (~v187(VarCurr))) <=> (v161(VarCurr) | (~v187(VarCurr))))),
% 28.54/19.07 inference(bind,[status(th)],[])).
% 28.54/19.07 tff(27166,plain,
% 28.54/19.07 (![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr))) <=> ![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))),
% 28.54/19.07 inference(quant_intro,[status(thm)],[27165])).
% 28.54/19.07 tff(27167,plain,
% 28.54/19.07 (![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr))) <=> ![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))),
% 28.54/19.07 inference(rewrite,[status(thm)],[])).
% 28.54/19.07 tff(27168,plain,
% 28.54/19.07 (^[VarCurr: state_type] : rewrite(((~v187(VarCurr)) | v161(VarCurr)) <=> (v161(VarCurr) | (~v187(VarCurr))))),
% 28.54/19.07 inference(bind,[status(th)],[])).
% 28.54/19.07 tff(27169,plain,
% 28.54/19.07 (![VarCurr: state_type] : ((~v187(VarCurr)) | v161(VarCurr)) <=> ![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))),
% 28.54/19.07 inference(quant_intro,[status(thm)],[27168])).
% 28.54/19.07 tff(27170,axiom,(![VarCurr: state_type] : ((~v187(VarCurr)) | v161(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_45_1_1_3')).
% 28.54/19.07 tff(27171,plain,
% 28.54/19.07 (![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27170, 27169])).
% 28.54/19.07 tff(27172,plain,
% 28.54/19.07 (![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27171, 27167])).
% 28.54/19.07 tff(27173,plain,(
% 28.54/19.07 ![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))),
% 28.54/19.07 inference(skolemize,[status(sab)],[27172])).
% 28.54/19.07 tff(27174,plain,
% 28.54/19.07 (![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))),
% 28.54/19.07 inference(modus_ponens,[status(thm)],[27173, 27166])).
% 28.54/19.07 tff(27175,plain,
% 28.54/19.07 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB197) | (~v187(constB197)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB197) | (~v187(constB197)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27176,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB197) | (~v187(constB197)))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27177,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB197) | (~v187(constB197))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27176, 27175])).
% 28.54/19.08 tff(27178,plain,
% 28.54/19.08 (~v187(constB197)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27177, 27174, 27164])).
% 28.54/19.08 tff(27179,plain,
% 28.54/19.08 (^[VarCurr: state_type] : refl((v187(VarCurr) | (~v185(VarCurr))) <=> (v187(VarCurr) | (~v185(VarCurr))))),
% 28.54/19.08 inference(bind,[status(th)],[])).
% 28.54/19.08 tff(27180,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr))) <=> ![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))),
% 28.54/19.08 inference(quant_intro,[status(thm)],[27179])).
% 28.54/19.08 tff(27181,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr))) <=> ![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27182,plain,
% 28.54/19.08 (^[VarCurr: state_type] : rewrite(((~v185(VarCurr)) | v187(VarCurr)) <=> (v187(VarCurr) | (~v185(VarCurr))))),
% 28.54/19.08 inference(bind,[status(th)],[])).
% 28.54/19.08 tff(27183,plain,
% 28.54/19.08 (![VarCurr: state_type] : ((~v185(VarCurr)) | v187(VarCurr)) <=> ![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))),
% 28.54/19.08 inference(quant_intro,[status(thm)],[27182])).
% 28.54/19.08 tff(27184,axiom,(![VarCurr: state_type] : ((~v185(VarCurr)) | v187(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_46_1_1_2')).
% 28.54/19.08 tff(27185,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27184, 27183])).
% 28.54/19.08 tff(27186,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27185, 27181])).
% 28.54/19.08 tff(27187,plain,(
% 28.54/19.08 ![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))),
% 28.54/19.08 inference(skolemize,[status(sab)],[27186])).
% 28.54/19.08 tff(27188,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27187, 27180])).
% 28.54/19.08 tff(27189,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB197) | (~v185(constB197)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB197) | (~v185(constB197)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27190,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB197) | (~v185(constB197)))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27191,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB197) | (~v185(constB197))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27190, 27189])).
% 28.54/19.08 tff(27192,plain,
% 28.54/19.08 (~v185(constB197)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27191, 27188, 27178])).
% 28.54/19.08 tff(27193,assumption,(v18(constB198)), introduced(assumption)).
% 28.54/19.08 tff(27194,plain,
% 28.54/19.08 (^[VarCurr: state_type] : refl((~v18(VarCurr)) <=> (~v18(VarCurr)))),
% 28.54/19.08 inference(bind,[status(th)],[])).
% 28.54/19.08 tff(27195,plain,
% 28.54/19.08 (![VarCurr: state_type] : (~v18(VarCurr)) <=> ![VarCurr: state_type] : (~v18(VarCurr))),
% 28.54/19.08 inference(quant_intro,[status(thm)],[27194])).
% 28.54/19.08 tff(27196,plain,
% 28.54/19.08 (![VarCurr: state_type] : (~v18(VarCurr)) <=> ![VarCurr: state_type] : (~v18(VarCurr))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27197,axiom,(![VarCurr: state_type] : (~v18(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addGlobalAssumption_3_1_1')).
% 28.54/19.08 tff(27198,plain,
% 28.54/19.08 (![VarCurr: state_type] : (~v18(VarCurr))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27197, 27196])).
% 28.54/19.08 tff(27199,plain,(
% 28.54/19.08 ![VarCurr: state_type] : (~v18(VarCurr))),
% 28.54/19.08 inference(skolemize,[status(sab)],[27198])).
% 28.54/19.08 tff(27200,plain,
% 28.54/19.08 (![VarCurr: state_type] : (~v18(VarCurr))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27199, 27195])).
% 28.54/19.08 tff(27201,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB198))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27202,plain,
% 28.54/19.08 ($false),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27201, 27200, 27193])).
% 28.54/19.08 tff(27203,plain,(~v18(constB198)), inference(lemma,lemma(discharge,[]))).
% 28.54/19.08 tff(27204,plain,
% 28.54/19.08 (v1(constB198) <=> v1(constB198)),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27205,axiom,(v1(constB198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_198_1')).
% 28.54/19.08 tff(27206,plain,
% 28.54/19.08 (v1(constB198)),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27205, 27204])).
% 28.54/19.08 tff(27207,plain,
% 28.54/19.08 (^[VarCurr: state_type] : refl((v22(VarCurr) | (~v1(VarCurr))) <=> (v22(VarCurr) | (~v1(VarCurr))))),
% 28.54/19.08 inference(bind,[status(th)],[])).
% 28.54/19.08 tff(27208,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 28.54/19.08 inference(quant_intro,[status(thm)],[27207])).
% 28.54/19.08 tff(27209,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27210,plain,
% 28.54/19.08 (^[VarCurr: state_type] : rewrite(((~v1(VarCurr)) | v22(VarCurr)) <=> (v22(VarCurr) | (~v1(VarCurr))))),
% 28.54/19.08 inference(bind,[status(th)],[])).
% 28.54/19.08 tff(27211,plain,
% 28.54/19.08 (![VarCurr: state_type] : ((~v1(VarCurr)) | v22(VarCurr)) <=> ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 28.54/19.08 inference(quant_intro,[status(thm)],[27210])).
% 28.54/19.08 tff(27212,axiom,(![VarCurr: state_type] : ((~v1(VarCurr)) | v22(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_1_1_1_1_1')).
% 28.54/19.08 tff(27213,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27212, 27211])).
% 28.54/19.08 tff(27214,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27213, 27209])).
% 28.54/19.08 tff(27215,plain,(
% 28.54/19.08 ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 28.54/19.08 inference(skolemize,[status(sab)],[27214])).
% 28.54/19.08 tff(27216,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27215, 27208])).
% 28.54/19.08 tff(27217,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB198) | (~v1(constB198)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB198) | (~v1(constB198)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27218,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB198) | (~v1(constB198)))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27219,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB198) | (~v1(constB198))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27218, 27217])).
% 28.54/19.08 tff(27220,plain,
% 28.54/19.08 (v22(constB198)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27219, 27216, 27206])).
% 28.54/19.08 tff(27221,plain,
% 28.54/19.08 (^[VarCurr: state_type] : refl((v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))) <=> (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))))),
% 28.54/19.08 inference(bind,[status(th)],[])).
% 28.54/19.08 tff(27222,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))) <=> ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 28.54/19.08 inference(quant_intro,[status(thm)],[27221])).
% 28.54/19.08 tff(27223,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))) <=> ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27224,plain,
% 28.54/19.08 (^[VarCurr: state_type] : rewrite((((~v19(VarCurr)) | (~v22(VarCurr))) | v18(VarCurr)) <=> (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))))),
% 28.54/19.08 inference(bind,[status(th)],[])).
% 28.54/19.08 tff(27225,plain,
% 28.54/19.08 (![VarCurr: state_type] : (((~v19(VarCurr)) | (~v22(VarCurr))) | v18(VarCurr)) <=> ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 28.54/19.08 inference(quant_intro,[status(thm)],[27224])).
% 28.54/19.08 tff(27226,axiom,(![VarCurr: state_type] : (((~v19(VarCurr)) | (~v22(VarCurr))) | v18(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_2_1_1_1')).
% 28.54/19.08 tff(27227,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27226, 27225])).
% 28.54/19.08 tff(27228,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27227, 27223])).
% 28.54/19.08 tff(27229,plain,(
% 28.54/19.08 ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 28.54/19.08 inference(skolemize,[status(sab)],[27228])).
% 28.54/19.08 tff(27230,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27229, 27222])).
% 28.54/19.08 tff(27231,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB198) | (~v22(constB198)) | (~v19(constB198)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB198) | (~v22(constB198)) | (~v19(constB198)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27232,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB198) | (~v22(constB198)) | (~v19(constB198)))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27233,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB198) | (~v22(constB198)) | (~v19(constB198))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27232, 27231])).
% 28.54/19.08 tff(27234,plain,
% 28.54/19.08 (v18(constB198) | (~v19(constB198))),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27233, 27230, 27220])).
% 28.54/19.08 tff(27235,plain,
% 28.54/19.08 (~v19(constB198)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27234, 27203])).
% 28.54/19.08 tff(27236,plain,
% 28.54/19.08 (^[VarCurr: state_type] : refl((v13(VarCurr) | v19(VarCurr)) <=> (v13(VarCurr) | v19(VarCurr)))),
% 28.54/19.08 inference(bind,[status(th)],[])).
% 28.54/19.08 tff(27237,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 28.54/19.08 inference(quant_intro,[status(thm)],[27236])).
% 28.54/19.08 tff(27238,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27239,axiom,(![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_51_1_1_2')).
% 28.54/19.08 tff(27240,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27239, 27238])).
% 28.54/19.08 tff(27241,plain,(
% 28.54/19.08 ![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 28.54/19.08 inference(skolemize,[status(sab)],[27240])).
% 28.54/19.08 tff(27242,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27241, 27237])).
% 28.54/19.08 tff(27243,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB198) | v19(constB198))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB198) | v19(constB198))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27244,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB198) | v19(constB198))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27245,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB198) | v19(constB198)),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27244, 27243])).
% 28.54/19.08 tff(27246,plain,
% 28.54/19.08 (v13(constB198)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27245, 27242, 27235])).
% 28.54/19.08 tff(27247,plain,
% 28.54/19.08 (nextState(constB197, constB198) <=> nextState(constB197, constB198)),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27248,axiom,(nextState(constB197, constB198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_197_1')).
% 28.54/19.08 tff(27249,plain,
% 28.54/19.08 (nextState(constB197, constB198)),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27248, 27247])).
% 28.54/19.08 tff(27250,plain,
% 28.54/19.08 (^[VarNext: state_type, VarCurr: state_type] : refl((v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))))),
% 28.54/19.08 inference(bind,[status(th)],[])).
% 28.54/19.08 tff(27251,plain,
% 28.54/19.08 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 28.54/19.08 inference(quant_intro,[status(thm)],[27250])).
% 28.54/19.08 tff(27252,plain,
% 28.54/19.08 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27253,plain,
% 28.54/19.08 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) <=> ((~v13(VarNext)) | (~nextState(VarCurr, VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) | v9(VarCurr)) <=> (((~v13(VarNext)) | (~nextState(VarCurr, VarNext))) | v9(VarCurr)))), rewrite((((~v13(VarNext)) | (~nextState(VarCurr, VarNext))) | v9(VarCurr)) <=> (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) | v9(VarCurr)) <=> (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))))),
% 28.54/19.08 inference(bind,[status(th)],[])).
% 28.54/19.08 tff(27254,plain,
% 28.54/19.08 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) | v9(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 28.54/19.08 inference(quant_intro,[status(thm)],[27253])).
% 28.54/19.08 tff(27255,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) | v9(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_12_2')).
% 28.54/19.08 tff(27256,plain,
% 28.54/19.08 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27255, 27254])).
% 28.54/19.08 tff(27257,plain,
% 28.54/19.08 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27256, 27252])).
% 28.54/19.08 tff(27258,plain,(
% 28.54/19.08 ![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 28.54/19.08 inference(skolemize,[status(sab)],[27257])).
% 28.54/19.08 tff(27259,plain,
% 28.54/19.08 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27258, 27251])).
% 28.54/19.08 tff(27260,plain,
% 28.54/19.08 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB197) | (~v13(constB198)) | (~nextState(constB197, constB198)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB197) | (~v13(constB198)) | (~nextState(constB197, constB198)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27261,plain,
% 28.54/19.08 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB197) | (~v13(constB198)) | (~nextState(constB197, constB198)))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27262,plain,
% 28.54/19.08 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB197) | (~v13(constB198)) | (~nextState(constB197, constB198))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27261, 27260])).
% 28.54/19.08 tff(27263,plain,
% 28.54/19.08 (v9(constB197) | (~v13(constB198))),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27262, 27259, 27249])).
% 28.54/19.08 tff(27264,plain,
% 28.54/19.08 (v9(constB197)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27263, 27246])).
% 28.54/19.08 tff(27265,plain,
% 28.54/19.08 (^[VarCurr: state_type] : refl((v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr)))),
% 28.54/19.08 inference(bind,[status(th)],[])).
% 28.54/19.08 tff(27266,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 28.54/19.08 inference(quant_intro,[status(thm)],[27265])).
% 28.54/19.08 tff(27267,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27268,plain,
% 28.54/19.08 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v9(VarCurr)) | v1(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)))), ((((~v9(VarCurr)) | v1(VarCurr)) | v184(VarCurr)) <=> ((v1(VarCurr) | (~v9(VarCurr))) | v184(VarCurr)))), rewrite(((v1(VarCurr) | (~v9(VarCurr))) | v184(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))), ((((~v9(VarCurr)) | v1(VarCurr)) | v184(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))))),
% 28.54/19.08 inference(bind,[status(th)],[])).
% 28.54/19.08 tff(27269,plain,
% 28.54/19.08 (![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v184(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 28.54/19.08 inference(quant_intro,[status(thm)],[27268])).
% 28.54/19.08 tff(27270,axiom,(![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v184(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_42_1_1_1')).
% 28.54/19.08 tff(27271,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27270, 27269])).
% 28.54/19.08 tff(27272,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27271, 27267])).
% 28.54/19.08 tff(27273,plain,(
% 28.54/19.08 ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 28.54/19.08 inference(skolemize,[status(sab)],[27272])).
% 28.54/19.08 tff(27274,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27273, 27266])).
% 28.54/19.08 tff(27275,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB197) | (~v9(constB197)) | v184(constB197))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB197) | (~v9(constB197)) | v184(constB197))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27276,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB197) | (~v9(constB197)) | v184(constB197))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27277,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB197) | (~v9(constB197)) | v184(constB197)),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27276, 27275])).
% 28.54/19.08 tff(27278,plain,
% 28.54/19.08 ((~v9(constB197)) | v184(constB197)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27277, 27274, 26914])).
% 28.54/19.08 tff(27279,plain,
% 28.54/19.08 (v184(constB197)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27278, 27264])).
% 28.54/19.08 tff(27280,plain,
% 28.54/19.08 (^[VarCurr: state_type] : refl(((~v184(VarCurr)) | v183(VarCurr)) <=> ((~v184(VarCurr)) | v183(VarCurr)))),
% 28.54/19.08 inference(bind,[status(th)],[])).
% 28.54/19.08 tff(27281,plain,
% 28.54/19.08 (![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr)) <=> ![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))),
% 28.54/19.08 inference(quant_intro,[status(thm)],[27280])).
% 28.54/19.08 tff(27282,plain,
% 28.54/19.08 (![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr)) <=> ![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27283,axiom,(![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43_1_1_1')).
% 28.54/19.08 tff(27284,plain,
% 28.54/19.08 (![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27283, 27282])).
% 28.54/19.08 tff(27285,plain,(
% 28.54/19.08 ![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))),
% 28.54/19.08 inference(skolemize,[status(sab)],[27284])).
% 28.54/19.08 tff(27286,plain,
% 28.54/19.08 (![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27285, 27281])).
% 28.54/19.08 tff(27287,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB197) | (~v184(constB197)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB197) | (~v184(constB197)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27288,plain,
% 28.54/19.08 (((~v184(constB197)) | v183(constB197)) <=> (v183(constB197) | (~v184(constB197)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27289,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB197)) | v183(constB197))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB197) | (~v184(constB197))))),
% 28.54/19.08 inference(monotonicity,[status(thm)],[27288])).
% 28.54/19.08 tff(27290,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB197)) | v183(constB197))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB197) | (~v184(constB197)))),
% 28.54/19.08 inference(transitivity,[status(thm)],[27289, 27287])).
% 28.54/19.08 tff(27291,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB197)) | v183(constB197))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27292,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB197) | (~v184(constB197))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27291, 27290])).
% 28.54/19.08 tff(27293,plain,
% 28.54/19.08 (v183(constB197)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27292, 27286, 27279])).
% 28.54/19.08 tff(27294,plain,
% 28.54/19.08 (^[VarCurr: state_type] : refl(((~v181(VarCurr)) | (~v183(VarCurr))) <=> ((~v181(VarCurr)) | (~v183(VarCurr))))),
% 28.54/19.08 inference(bind,[status(th)],[])).
% 28.54/19.08 tff(27295,plain,
% 28.54/19.08 (![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr))) <=> ![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))),
% 28.54/19.08 inference(quant_intro,[status(thm)],[27294])).
% 28.54/19.08 tff(27296,plain,
% 28.54/19.08 (![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr))) <=> ![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27297,axiom,(![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_44_1_1_3')).
% 28.54/19.08 tff(27298,plain,
% 28.54/19.08 (![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27297, 27296])).
% 28.54/19.08 tff(27299,plain,(
% 28.54/19.08 ![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))),
% 28.54/19.08 inference(skolemize,[status(sab)],[27298])).
% 28.54/19.08 tff(27300,plain,
% 28.54/19.08 (![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27299, 27295])).
% 28.54/19.08 tff(27301,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB197)) | (~v183(constB197)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB197)) | (~v183(constB197)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27302,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB197)) | (~v183(constB197)))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27303,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB197)) | (~v183(constB197))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27302, 27301])).
% 28.54/19.08 tff(27304,plain,
% 28.54/19.08 (~v181(constB197)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27303, 27300, 27293])).
% 28.54/19.08 tff(27305,plain,
% 28.54/19.08 (^[VarCurr: state_type] : refl((v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr))) <=> (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr))))),
% 28.54/19.08 inference(bind,[status(th)],[])).
% 28.54/19.08 tff(27306,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr))) <=> ![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 28.54/19.08 inference(quant_intro,[status(thm)],[27305])).
% 28.54/19.08 tff(27307,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr))) <=> ![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27308,plain,
% 28.54/19.08 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v178(VarCurr)) | v181(VarCurr)) <=> (v181(VarCurr) | (~v178(VarCurr)))), ((((~v178(VarCurr)) | v181(VarCurr)) | v185(VarCurr)) <=> ((v181(VarCurr) | (~v178(VarCurr))) | v185(VarCurr)))), rewrite(((v181(VarCurr) | (~v178(VarCurr))) | v185(VarCurr)) <=> (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))), ((((~v178(VarCurr)) | v181(VarCurr)) | v185(VarCurr)) <=> (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))))),
% 28.54/19.08 inference(bind,[status(th)],[])).
% 28.54/19.08 tff(27309,plain,
% 28.54/19.08 (![VarCurr: state_type] : (((~v178(VarCurr)) | v181(VarCurr)) | v185(VarCurr)) <=> ![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 28.54/19.08 inference(quant_intro,[status(thm)],[27308])).
% 28.54/19.08 tff(27310,axiom,(![VarCurr: state_type] : (((~v178(VarCurr)) | v181(VarCurr)) | v185(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_47_1_3')).
% 28.54/19.08 tff(27311,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27310, 27309])).
% 28.54/19.08 tff(27312,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27311, 27307])).
% 28.54/19.08 tff(27313,plain,(
% 28.54/19.08 ![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 28.54/19.08 inference(skolemize,[status(sab)],[27312])).
% 28.54/19.08 tff(27314,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27313, 27306])).
% 28.54/19.08 tff(27315,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB197) | v185(constB197) | (~v178(constB197)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB197) | v185(constB197) | (~v178(constB197)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27316,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB197) | v185(constB197) | (~v178(constB197)))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27317,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB197) | v185(constB197) | (~v178(constB197))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27316, 27315])).
% 28.54/19.08 tff(27318,plain,
% 28.54/19.08 (v185(constB197) | (~v178(constB197))),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27317, 27314, 27304])).
% 28.54/19.08 tff(27319,plain,
% 28.54/19.08 (~v178(constB197)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27318, 27192])).
% 28.54/19.08 tff(27320,plain,
% 28.54/19.08 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext))))),
% 28.54/19.08 inference(bind,[status(th)],[])).
% 28.54/19.08 tff(27321,plain,
% 28.54/19.08 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 28.54/19.08 inference(quant_intro,[status(thm)],[27320])).
% 28.54/19.08 tff(27322,plain,
% 28.54/19.08 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27323,plain,
% 28.54/19.08 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v178(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v178(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v178(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v178(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))))),
% 28.54/19.08 inference(bind,[status(th)],[])).
% 28.54/19.08 tff(27324,plain,
% 28.54/19.08 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v178(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 28.54/19.08 inference(quant_intro,[status(thm)],[27323])).
% 28.54/19.08 tff(27325,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v178(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_11_1_2')).
% 28.54/19.08 tff(27326,plain,
% 28.54/19.08 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27325, 27324])).
% 28.54/19.08 tff(27327,plain,
% 28.54/19.08 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27326, 27322])).
% 28.54/19.08 tff(27328,plain,(
% 28.54/19.08 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 28.54/19.08 inference(skolemize,[status(sab)],[27327])).
% 28.54/19.08 tff(27329,plain,
% 28.54/19.08 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27328, 27321])).
% 28.54/19.08 tff(27330,plain,
% 28.54/19.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB197, constB198)) | v178(constB197) | (~v180(constB198)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB197, constB198)) | v178(constB197) | (~v180(constB198)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27331,plain,
% 28.54/19.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB197, constB198)) | v178(constB197) | (~v180(constB198)))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27332,plain,
% 28.54/19.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB197, constB198)) | v178(constB197) | (~v180(constB198))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27331, 27330])).
% 28.54/19.08 tff(27333,plain,
% 28.54/19.08 (v178(constB197) | (~v180(constB198))),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27332, 27329, 27249])).
% 28.54/19.08 tff(27334,plain,
% 28.54/19.08 (~v180(constB198)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27333, 27319])).
% 28.54/19.08 tff(27335,plain,
% 28.54/19.08 (^[VarCurr: state_type] : refl((v180(VarCurr) | (~v181(VarCurr))) <=> (v180(VarCurr) | (~v181(VarCurr))))),
% 28.54/19.08 inference(bind,[status(th)],[])).
% 28.54/19.08 tff(27336,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr))) <=> ![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))),
% 28.54/19.08 inference(quant_intro,[status(thm)],[27335])).
% 28.54/19.08 tff(27337,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr))) <=> ![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27338,plain,
% 28.54/19.08 (^[VarCurr: state_type] : rewrite(((~v181(VarCurr)) | v180(VarCurr)) <=> (v180(VarCurr) | (~v181(VarCurr))))),
% 28.54/19.08 inference(bind,[status(th)],[])).
% 28.54/19.08 tff(27339,plain,
% 28.54/19.08 (![VarCurr: state_type] : ((~v181(VarCurr)) | v180(VarCurr)) <=> ![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))),
% 28.54/19.08 inference(quant_intro,[status(thm)],[27338])).
% 28.54/19.08 tff(27340,axiom,(![VarCurr: state_type] : ((~v181(VarCurr)) | v180(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_44_1_1_2')).
% 28.54/19.08 tff(27341,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27340, 27339])).
% 28.54/19.08 tff(27342,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27341, 27337])).
% 28.54/19.08 tff(27343,plain,(
% 28.54/19.08 ![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))),
% 28.54/19.08 inference(skolemize,[status(sab)],[27342])).
% 28.54/19.08 tff(27344,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27343, 27336])).
% 28.54/19.08 tff(27345,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB198) | (~v181(constB198)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB198) | (~v181(constB198)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27346,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB198) | (~v181(constB198)))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27347,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB198) | (~v181(constB198))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27346, 27345])).
% 28.54/19.08 tff(27348,plain,
% 28.54/19.08 (~v181(constB198)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27347, 27344, 27334])).
% 28.54/19.08 tff(27349,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB198)) | (~v184(constB198)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB198)) | (~v184(constB198)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27350,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB198)) | (~v184(constB198)))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27351,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB198)) | (~v184(constB198))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27350, 27349])).
% 28.54/19.08 tff(27352,plain,
% 28.54/19.08 (~v184(constB198)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27351, 59, 27206])).
% 28.54/19.08 tff(27353,plain,
% 28.54/19.08 (^[VarCurr: state_type] : refl((v184(VarCurr) | (~v187(VarCurr))) <=> (v184(VarCurr) | (~v187(VarCurr))))),
% 28.54/19.08 inference(bind,[status(th)],[])).
% 28.54/19.08 tff(27354,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))),
% 28.54/19.08 inference(quant_intro,[status(thm)],[27353])).
% 28.54/19.08 tff(27355,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27356,plain,
% 28.54/19.08 (^[VarCurr: state_type] : rewrite(((~v187(VarCurr)) | v184(VarCurr)) <=> (v184(VarCurr) | (~v187(VarCurr))))),
% 28.54/19.08 inference(bind,[status(th)],[])).
% 28.54/19.08 tff(27357,plain,
% 28.54/19.08 (![VarCurr: state_type] : ((~v187(VarCurr)) | v184(VarCurr)) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))),
% 28.54/19.08 inference(quant_intro,[status(thm)],[27356])).
% 28.54/19.08 tff(27358,axiom,(![VarCurr: state_type] : ((~v187(VarCurr)) | v184(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_45_1_1_2')).
% 28.54/19.08 tff(27359,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27358, 27357])).
% 28.54/19.08 tff(27360,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27359, 27355])).
% 28.54/19.08 tff(27361,plain,(
% 28.54/19.08 ![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))),
% 28.54/19.08 inference(skolemize,[status(sab)],[27360])).
% 28.54/19.08 tff(27362,plain,
% 28.54/19.08 (![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27361, 27354])).
% 28.54/19.08 tff(27363,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB198) | (~v187(constB198)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB198) | (~v187(constB198)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27364,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB198) | (~v187(constB198)))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27365,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB198) | (~v187(constB198))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27364, 27363])).
% 28.54/19.08 tff(27366,plain,
% 28.54/19.08 (~v187(constB198)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27365, 27362, 27352])).
% 28.54/19.08 tff(27367,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB198) | (~v185(constB198)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB198) | (~v185(constB198)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27368,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB198) | (~v185(constB198)))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27369,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB198) | (~v185(constB198))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27368, 27367])).
% 28.54/19.08 tff(27370,plain,
% 28.54/19.08 (~v185(constB198)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27369, 27188, 27366])).
% 28.54/19.08 tff(27371,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB198) | v185(constB198) | (~v178(constB198)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB198) | v185(constB198) | (~v178(constB198)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27372,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB198) | v185(constB198) | (~v178(constB198)))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27373,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB198) | v185(constB198) | (~v178(constB198))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27372, 27371])).
% 28.54/19.08 tff(27374,plain,
% 28.54/19.08 (v181(constB198) | (~v178(constB198))),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27373, 27314, 27370])).
% 28.54/19.08 tff(27375,plain,
% 28.54/19.08 (~v178(constB198)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27374, 27348])).
% 28.54/19.08 tff(27376,plain,
% 28.54/19.08 (nextState(constB198, constB199) <=> nextState(constB198, constB199)),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27377,axiom,(nextState(constB198, constB199)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_198_1')).
% 28.54/19.08 tff(27378,plain,
% 28.54/19.08 (nextState(constB198, constB199)),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27377, 27376])).
% 28.54/19.08 tff(27379,plain,
% 28.54/19.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB198, constB199)) | v178(constB198) | (~v180(constB199)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB198, constB199)) | v178(constB198) | (~v180(constB199)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27380,plain,
% 28.54/19.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB198, constB199)) | v178(constB198) | (~v180(constB199)))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27381,plain,
% 28.54/19.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB198, constB199)) | v178(constB198) | (~v180(constB199))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27380, 27379])).
% 28.54/19.08 tff(27382,plain,
% 28.54/19.08 (v178(constB198) | (~v180(constB199))),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27381, 27329, 27378])).
% 28.54/19.08 tff(27383,plain,
% 28.54/19.08 (~v180(constB199)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27382, 27375])).
% 28.54/19.08 tff(27384,plain,
% 28.54/19.08 ($false),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27383, 87])).
% 28.54/19.08 tff(27385,plain,(~(constB199 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.54/19.08 tff(27386,assumption,(constB7 = sK_VarCurr), introduced(assumption)).
% 28.54/19.08 tff(27387,plain,
% 28.54/19.08 (v180(constB7) <=> v180(sK_VarCurr)),
% 28.54/19.08 inference(monotonicity,[status(thm)],[27386])).
% 28.54/19.08 tff(27388,plain,
% 28.54/19.08 (v180(sK_VarCurr) <=> v180(constB7)),
% 28.54/19.08 inference(symmetry,[status(thm)],[27387])).
% 28.54/19.08 tff(27389,plain,
% 28.54/19.08 (v180(constB7)),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[86, 27388])).
% 28.54/19.08 tff(27390,assumption,(v18(constB6)), introduced(assumption)).
% 28.54/19.08 tff(27391,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB6))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27392,plain,
% 28.54/19.08 ($false),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27391, 27200, 27390])).
% 28.54/19.08 tff(27393,plain,(~v18(constB6)), inference(lemma,lemma(discharge,[]))).
% 28.54/19.08 tff(27394,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB6) | (~v1(constB6)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB6) | (~v1(constB6)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27395,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB6) | (~v1(constB6)))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27396,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB6) | (~v1(constB6))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27395, 27394])).
% 28.54/19.08 tff(27397,plain,
% 28.54/19.08 (v22(constB6)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27396, 27216, 1078])).
% 28.54/19.08 tff(27398,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB6) | (~v22(constB6)) | (~v19(constB6)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB6) | (~v22(constB6)) | (~v19(constB6)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27399,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB6) | (~v22(constB6)) | (~v19(constB6)))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27400,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB6) | (~v22(constB6)) | (~v19(constB6))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27399, 27398])).
% 28.54/19.08 tff(27401,plain,
% 28.54/19.08 (v18(constB6) | (~v19(constB6))),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27400, 27230, 27397])).
% 28.54/19.08 tff(27402,plain,
% 28.54/19.08 (~v19(constB6)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27401, 27393])).
% 28.54/19.08 tff(27403,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB6) | v19(constB6))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB6) | v19(constB6))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27404,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB6) | v19(constB6))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27405,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB6) | v19(constB6)),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27404, 27403])).
% 28.54/19.08 tff(27406,plain,
% 28.54/19.08 (v13(constB6)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27405, 27242, 27402])).
% 28.54/19.08 tff(27407,plain,
% 28.54/19.08 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB5) | (~v13(constB6)) | (~nextState(constB5, constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB5) | (~v13(constB6)) | (~nextState(constB5, constB6)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27408,plain,
% 28.54/19.08 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB5) | (~v13(constB6)) | (~nextState(constB5, constB6)))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27409,plain,
% 28.54/19.08 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB5) | (~v13(constB6)) | (~nextState(constB5, constB6))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27408, 27407])).
% 28.54/19.08 tff(27410,plain,
% 28.54/19.08 (v9(constB5) | (~v13(constB6))),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27409, 27259, 1058])).
% 28.54/19.08 tff(27411,plain,
% 28.54/19.08 (v9(constB5)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27410, 27406])).
% 28.54/19.08 tff(27412,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB5) | (~v9(constB5)) | v184(constB5))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB5) | (~v9(constB5)) | v184(constB5))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27413,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB5) | (~v9(constB5)) | v184(constB5))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27414,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB5) | (~v9(constB5)) | v184(constB5)),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27413, 27412])).
% 28.54/19.08 tff(27415,plain,
% 28.54/19.08 ((~v9(constB5)) | v184(constB5)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27414, 27274, 810])).
% 28.54/19.08 tff(27416,plain,
% 28.54/19.08 (v184(constB5)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27415, 27411])).
% 28.54/19.08 tff(27417,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB5)) | v183(constB5))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB5)) | v183(constB5))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27418,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB5)) | v183(constB5))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27419,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB5)) | v183(constB5)),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27418, 27417])).
% 28.54/19.08 tff(27420,plain,
% 28.54/19.08 (v183(constB5)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27419, 27286, 27416])).
% 28.54/19.08 tff(27421,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB5)) | (~v183(constB5)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB5)) | (~v183(constB5)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27422,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB5)) | (~v183(constB5)))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27423,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB5)) | (~v183(constB5))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27422, 27421])).
% 28.54/19.08 tff(27424,plain,
% 28.54/19.08 (~v181(constB5)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27423, 27300, 27420])).
% 28.54/19.08 tff(27425,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB5, 2)) | v90(constB5, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB5, 2)) | v90(constB5, 2))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27426,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB5, 2)) | v90(constB5, 2))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27427,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB5, 2)) | v90(constB5, 2)),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27426, 27425])).
% 28.54/19.08 tff(27428,plain,
% 28.54/19.08 (~v88(constB5, 2)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27427, 27032, 834])).
% 28.54/19.08 tff(27429,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB5, 0)) | v90(constB5, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB5, 0)) | v90(constB5, 0))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27430,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB5, 0)) | v90(constB5, 0))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27431,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB5, 0)) | v90(constB5, 0)),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27430, 27429])).
% 28.54/19.08 tff(27432,plain,
% 28.54/19.08 (~v88(constB5, 0)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27431, 26990, 983])).
% 28.54/19.08 tff(27433,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB5, 1)) | v88(constB5, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB5, 1)) | v88(constB5, 1))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27434,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB5, 1)) | v88(constB5, 1))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27435,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB5, 1)) | v88(constB5, 1)),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27434, 27433])).
% 28.54/19.08 tff(27436,plain,
% 28.54/19.08 (v88(constB5, 1)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27435, 26945, 912])).
% 28.54/19.08 tff(27437,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB5, 0) | v88(constB5, 2) | (~v88(constB5, 1)) | v143(constB5))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB5, 0) | v88(constB5, 2) | (~v88(constB5, 1)) | v143(constB5))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27438,plain,
% 28.54/19.08 ((v88(constB5, 2) | (~v88(constB5, 1)) | v88(constB5, 0) | v143(constB5)) <=> (v88(constB5, 0) | v88(constB5, 2) | (~v88(constB5, 1)) | v143(constB5))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27439,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB5, 2) | (~v88(constB5, 1)) | v88(constB5, 0) | v143(constB5))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB5, 0) | v88(constB5, 2) | (~v88(constB5, 1)) | v143(constB5)))),
% 28.54/19.08 inference(monotonicity,[status(thm)],[27438])).
% 28.54/19.08 tff(27440,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB5, 2) | (~v88(constB5, 1)) | v88(constB5, 0) | v143(constB5))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB5, 0) | v88(constB5, 2) | (~v88(constB5, 1)) | v143(constB5))),
% 28.54/19.08 inference(transitivity,[status(thm)],[27439, 27437])).
% 28.54/19.08 tff(27441,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB5, 2) | (~v88(constB5, 1)) | v88(constB5, 0) | v143(constB5))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27442,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB5, 0) | v88(constB5, 2) | (~v88(constB5, 1)) | v143(constB5)),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27441, 27440])).
% 28.54/19.08 tff(27443,plain,
% 28.54/19.08 (v143(constB5)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27442, 27047, 27436, 27432, 27428])).
% 28.54/19.08 tff(27444,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB5)) | v142(constB5))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB5)) | v142(constB5))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27445,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB5)) | v142(constB5))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27446,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB5)) | v142(constB5)),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27445, 27444])).
% 28.54/19.08 tff(27447,plain,
% 28.54/19.08 (v142(constB5)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27446, 27064, 27443])).
% 28.54/19.08 tff(27448,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (v165(constB5) | (~v142(constB5)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | v165(constB5) | (~v142(constB5)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27449,plain,
% 28.54/19.08 (((~v142(constB5)) | v165(constB5)) <=> (v165(constB5) | (~v142(constB5)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27450,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB5)) | v165(constB5))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (v165(constB5) | (~v142(constB5))))),
% 28.54/19.08 inference(monotonicity,[status(thm)],[27449])).
% 28.54/19.08 tff(27451,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB5)) | v165(constB5))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | v165(constB5) | (~v142(constB5)))),
% 28.54/19.08 inference(transitivity,[status(thm)],[27450, 27448])).
% 28.54/19.08 tff(27452,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB5)) | v165(constB5))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27453,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | v165(constB5) | (~v142(constB5))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27452, 27451])).
% 28.54/19.08 tff(27454,plain,
% 28.54/19.08 (v165(constB5)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27453, 27075, 27447])).
% 28.54/19.08 tff(27455,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB5) | (~v165(constB5)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB5) | (~v165(constB5)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27456,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB5) | (~v165(constB5)))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27457,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB5) | (~v165(constB5))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27456, 27455])).
% 28.54/19.08 tff(27458,plain,
% 28.54/19.08 (v164(constB5)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27457, 27089, 27454])).
% 28.54/19.08 tff(27459,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB5)) | (~v88(constB5, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB5)) | (~v88(constB5, 1)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27460,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB5)) | (~v88(constB5, 1)))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27461,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB5)) | (~v88(constB5, 1))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27460, 27459])).
% 28.54/19.08 tff(27462,plain,
% 28.54/19.08 (~v139(constB5)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27461, 27117, 27436])).
% 28.54/19.08 tff(27463,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB5)) | (~v88(constB5, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB5)) | (~v88(constB5, 1)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27464,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB5)) | (~v88(constB5, 1)))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27465,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB5)) | (~v88(constB5, 1))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27464, 27463])).
% 28.54/19.08 tff(27466,plain,
% 28.54/19.08 (~v140(constB5)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27465, 27128, 27436])).
% 28.54/19.08 tff(27467,plain,
% 28.54/19.08 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB5) | v140(constB5) | (~v168(constB5)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB5) | v140(constB5) | (~v168(constB5)))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27468,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB5) | v140(constB5) | (~v168(constB5)))),
% 28.54/19.08 inference(quant_inst,[status(thm)],[])).
% 28.54/19.08 tff(27469,plain,
% 28.54/19.08 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB5) | v140(constB5) | (~v168(constB5))),
% 28.54/19.08 inference(modus_ponens,[status(thm)],[27468, 27467])).
% 28.54/19.08 tff(27470,plain,
% 28.54/19.08 (~v168(constB5)),
% 28.54/19.08 inference(unit_resolution,[status(thm)],[27469, 27142, 27466, 27462])).
% 28.54/19.08 tff(27471,plain,
% 28.54/19.08 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB5)) | (~v164(constB5)) | v168(constB5))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB5)) | (~v164(constB5)) | v168(constB5))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27472,plain,
% 28.54/19.08 (((~v164(constB5)) | v168(constB5) | (~v161(constB5))) <=> ((~v161(constB5)) | (~v164(constB5)) | v168(constB5))),
% 28.54/19.08 inference(rewrite,[status(thm)],[])).
% 28.54/19.08 tff(27473,plain,
% 28.54/19.08 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB5)) | v168(constB5) | (~v161(constB5)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB5)) | (~v164(constB5)) | v168(constB5)))),
% 28.54/19.09 inference(monotonicity,[status(thm)],[27472])).
% 28.54/19.09 tff(27474,plain,
% 28.54/19.09 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB5)) | v168(constB5) | (~v161(constB5)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB5)) | (~v164(constB5)) | v168(constB5))),
% 28.54/19.09 inference(transitivity,[status(thm)],[27473, 27471])).
% 28.54/19.09 tff(27475,plain,
% 28.54/19.09 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB5)) | v168(constB5) | (~v161(constB5)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27476,plain,
% 28.54/19.09 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB5)) | (~v164(constB5)) | v168(constB5)),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27475, 27474])).
% 28.54/19.09 tff(27477,plain,
% 28.54/19.09 ((~v161(constB5)) | (~v164(constB5))),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27476, 27156, 27470])).
% 28.54/19.09 tff(27478,plain,
% 28.54/19.09 (~v161(constB5)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27477, 27458])).
% 28.54/19.09 tff(27479,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB5) | (~v187(constB5)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB5) | (~v187(constB5)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27480,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB5) | (~v187(constB5)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27481,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB5) | (~v187(constB5))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27480, 27479])).
% 28.54/19.09 tff(27482,plain,
% 28.54/19.09 (~v187(constB5)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27481, 27174, 27478])).
% 28.54/19.09 tff(27483,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB5) | (~v185(constB5)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB5) | (~v185(constB5)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27484,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB5) | (~v185(constB5)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27485,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB5) | (~v185(constB5))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27484, 27483])).
% 28.54/19.09 tff(27486,plain,
% 28.54/19.09 (~v185(constB5)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27485, 27188, 27482])).
% 28.54/19.09 tff(27487,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB5) | v185(constB5) | (~v178(constB5)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB5) | v185(constB5) | (~v178(constB5)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27488,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB5) | v185(constB5) | (~v178(constB5)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27489,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB5) | v185(constB5) | (~v178(constB5))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27488, 27487])).
% 28.54/19.09 tff(27490,plain,
% 28.54/19.09 (v181(constB5) | (~v178(constB5))),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27489, 27314, 27486])).
% 28.54/19.09 tff(27491,plain,
% 28.54/19.09 (~v178(constB5)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27490, 27424])).
% 28.54/19.09 tff(27492,plain,
% 28.54/19.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB5, constB6)) | v178(constB5) | (~v180(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB5, constB6)) | v178(constB5) | (~v180(constB6)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27493,plain,
% 28.54/19.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB5, constB6)) | v178(constB5) | (~v180(constB6)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27494,plain,
% 28.54/19.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB5, constB6)) | v178(constB5) | (~v180(constB6))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27493, 27492])).
% 28.54/19.09 tff(27495,plain,
% 28.54/19.09 (v178(constB5) | (~v180(constB6))),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27494, 27329, 1058])).
% 28.54/19.09 tff(27496,plain,
% 28.54/19.09 (~v180(constB6)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27495, 27491])).
% 28.54/19.09 tff(27497,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB6) | (~v181(constB6)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB6) | (~v181(constB6)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27498,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB6) | (~v181(constB6)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27499,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB6) | (~v181(constB6))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27498, 27497])).
% 28.54/19.09 tff(27500,plain,
% 28.54/19.09 (~v181(constB6)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27499, 27344, 27496])).
% 28.54/19.09 tff(27501,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB6)) | (~v184(constB6)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB6)) | (~v184(constB6)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27502,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB6)) | (~v184(constB6)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27503,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB6)) | (~v184(constB6))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27502, 27501])).
% 28.54/19.09 tff(27504,plain,
% 28.54/19.09 (~v184(constB6)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27503, 59, 1078])).
% 28.54/19.09 tff(27505,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB6) | (~v187(constB6)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB6) | (~v187(constB6)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27506,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB6) | (~v187(constB6)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27507,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB6) | (~v187(constB6))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27506, 27505])).
% 28.54/19.09 tff(27508,plain,
% 28.54/19.09 (~v187(constB6)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27507, 27362, 27504])).
% 28.54/19.09 tff(27509,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB6) | (~v185(constB6)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB6) | (~v185(constB6)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27510,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB6) | (~v185(constB6)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27511,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB6) | (~v185(constB6))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27510, 27509])).
% 28.54/19.09 tff(27512,plain,
% 28.54/19.09 (~v185(constB6)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27511, 27188, 27508])).
% 28.54/19.09 tff(27513,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB6) | v185(constB6) | (~v178(constB6)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB6) | v185(constB6) | (~v178(constB6)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27514,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB6) | v185(constB6) | (~v178(constB6)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27515,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB6) | v185(constB6) | (~v178(constB6))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27514, 27513])).
% 28.54/19.09 tff(27516,plain,
% 28.54/19.09 (v181(constB6) | (~v178(constB6))),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27515, 27314, 27512])).
% 28.54/19.09 tff(27517,plain,
% 28.54/19.09 (~v178(constB6)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27516, 27500])).
% 28.54/19.09 tff(27518,plain,
% 28.54/19.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB6, constB7)) | v178(constB6) | (~v180(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB6, constB7)) | v178(constB6) | (~v180(constB7)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27519,plain,
% 28.54/19.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB6, constB7)) | v178(constB6) | (~v180(constB7)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27520,plain,
% 28.54/19.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB6, constB7)) | v178(constB6) | (~v180(constB7))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27519, 27518])).
% 28.54/19.09 tff(27521,plain,
% 28.54/19.09 (v178(constB6) | (~v180(constB7))),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27520, 27329, 1127])).
% 28.54/19.09 tff(27522,plain,
% 28.54/19.09 (~v180(constB7)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27521, 27517])).
% 28.54/19.09 tff(27523,plain,
% 28.54/19.09 ($false),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27522, 27389])).
% 28.54/19.09 tff(27524,plain,(~(constB7 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.54/19.09 tff(27525,assumption,(constB54 = sK_VarCurr), introduced(assumption)).
% 28.54/19.09 tff(27526,plain,
% 28.54/19.09 (v1(constB54) <=> v1(sK_VarCurr)),
% 28.54/19.09 inference(monotonicity,[status(thm)],[27525])).
% 28.54/19.09 tff(27527,plain,
% 28.54/19.09 (v1(sK_VarCurr) <=> v1(constB54)),
% 28.54/19.09 inference(symmetry,[status(thm)],[27526])).
% 28.54/19.09 tff(27528,plain,
% 28.54/19.09 ((~v1(sK_VarCurr)) <=> (~v1(constB54))),
% 28.54/19.09 inference(monotonicity,[status(thm)],[27527])).
% 28.54/19.09 tff(27529,plain,
% 28.54/19.09 (~v1(constB54)),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[63, 27528])).
% 28.54/19.09 tff(27530,plain,
% 28.54/19.09 ($false),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[7812, 27529])).
% 28.54/19.09 tff(27531,plain,(~(constB54 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.54/19.09 tff(27532,assumption,(v18(constB18)), introduced(assumption)).
% 28.54/19.09 tff(27533,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB18))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27534,plain,
% 28.54/19.09 ($false),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27533, 27200, 27532])).
% 28.54/19.09 tff(27535,plain,(~v18(constB18)), inference(lemma,lemma(discharge,[]))).
% 28.54/19.09 tff(27536,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB18) | (~v1(constB18)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB18) | (~v1(constB18)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27537,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB18) | (~v1(constB18)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27538,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB18) | (~v1(constB18))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27537, 27536])).
% 28.54/19.09 tff(27539,plain,
% 28.54/19.09 (v22(constB18)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27538, 27216, 2574])).
% 28.54/19.09 tff(27540,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB18) | (~v22(constB18)) | (~v19(constB18)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB18) | (~v22(constB18)) | (~v19(constB18)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27541,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB18) | (~v22(constB18)) | (~v19(constB18)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27542,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB18) | (~v22(constB18)) | (~v19(constB18))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27541, 27540])).
% 28.54/19.09 tff(27543,plain,
% 28.54/19.09 (v18(constB18) | (~v19(constB18))),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27542, 27230, 27539])).
% 28.54/19.09 tff(27544,plain,
% 28.54/19.09 (~v19(constB18)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27543, 27535])).
% 28.54/19.09 tff(27545,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB18) | v19(constB18))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB18) | v19(constB18))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27546,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB18) | v19(constB18))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27547,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB18) | v19(constB18)),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27546, 27545])).
% 28.54/19.09 tff(27548,plain,
% 28.54/19.09 (v13(constB18)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27547, 27242, 27544])).
% 28.54/19.09 tff(27549,plain,
% 28.54/19.09 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB17) | (~v13(constB18)) | (~nextState(constB17, constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB17) | (~v13(constB18)) | (~nextState(constB17, constB18)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27550,plain,
% 28.54/19.09 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB17) | (~v13(constB18)) | (~nextState(constB17, constB18)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27551,plain,
% 28.54/19.09 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB17) | (~v13(constB18)) | (~nextState(constB17, constB18))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27550, 27549])).
% 28.54/19.09 tff(27552,plain,
% 28.54/19.09 (v9(constB17) | (~v13(constB18))),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27551, 27259, 2554])).
% 28.54/19.09 tff(27553,plain,
% 28.54/19.09 (v9(constB17)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27552, 27548])).
% 28.54/19.09 tff(27554,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB17) | (~v9(constB17)) | v184(constB17))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB17) | (~v9(constB17)) | v184(constB17))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27555,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB17) | (~v9(constB17)) | v184(constB17))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27556,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB17) | (~v9(constB17)) | v184(constB17)),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27555, 27554])).
% 28.54/19.09 tff(27557,plain,
% 28.54/19.09 ((~v9(constB17)) | v184(constB17)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27556, 27274, 2413])).
% 28.54/19.09 tff(27558,plain,
% 28.54/19.09 (v184(constB17)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27557, 27553])).
% 28.54/19.09 tff(27559,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB17)) | v183(constB17))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB17)) | v183(constB17))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27560,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB17)) | v183(constB17))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27561,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB17)) | v183(constB17)),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27560, 27559])).
% 28.54/19.09 tff(27562,plain,
% 28.54/19.09 (v183(constB17)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27561, 27286, 27558])).
% 28.54/19.09 tff(27563,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB17)) | (~v183(constB17)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB17)) | (~v183(constB17)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27564,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB17)) | (~v183(constB17)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27565,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB17)) | (~v183(constB17))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27564, 27563])).
% 28.54/19.09 tff(27566,plain,
% 28.54/19.09 (~v181(constB17)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27565, 27300, 27562])).
% 28.54/19.09 tff(27567,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB17, 2)) | v90(constB17, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB17, 2)) | v90(constB17, 2))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27568,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB17, 2)) | v90(constB17, 2))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27569,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB17, 2)) | v90(constB17, 2)),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27568, 27567])).
% 28.54/19.09 tff(27570,plain,
% 28.54/19.09 (~v88(constB17, 2)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27569, 27032, 2437])).
% 28.54/19.09 tff(27571,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB17, 0)) | v90(constB17, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB17, 0)) | v90(constB17, 0))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27572,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB17, 0)) | v90(constB17, 0))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27573,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB17, 0)) | v90(constB17, 0)),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27572, 27571])).
% 28.54/19.09 tff(27574,plain,
% 28.54/19.09 (~v88(constB17, 0)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27573, 26990, 2502])).
% 28.54/19.09 tff(27575,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB17, 1)) | v88(constB17, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB17, 1)) | v88(constB17, 1))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27576,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB17, 1)) | v88(constB17, 1))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27577,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB17, 1)) | v88(constB17, 1)),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27576, 27575])).
% 28.54/19.09 tff(27578,plain,
% 28.54/19.09 (v88(constB17, 1)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27577, 26945, 2468])).
% 28.54/19.09 tff(27579,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | ((~v88(constB17, 1)) | v88(constB17, 0) | v88(constB17, 2) | v143(constB17))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB17, 1)) | v88(constB17, 0) | v88(constB17, 2) | v143(constB17))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27580,plain,
% 28.54/19.09 ((v88(constB17, 2) | (~v88(constB17, 1)) | v88(constB17, 0) | v143(constB17)) <=> ((~v88(constB17, 1)) | v88(constB17, 0) | v88(constB17, 2) | v143(constB17))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27581,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB17, 2) | (~v88(constB17, 1)) | v88(constB17, 0) | v143(constB17))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | ((~v88(constB17, 1)) | v88(constB17, 0) | v88(constB17, 2) | v143(constB17)))),
% 28.54/19.09 inference(monotonicity,[status(thm)],[27580])).
% 28.54/19.09 tff(27582,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB17, 2) | (~v88(constB17, 1)) | v88(constB17, 0) | v143(constB17))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB17, 1)) | v88(constB17, 0) | v88(constB17, 2) | v143(constB17))),
% 28.54/19.09 inference(transitivity,[status(thm)],[27581, 27579])).
% 28.54/19.09 tff(27583,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB17, 2) | (~v88(constB17, 1)) | v88(constB17, 0) | v143(constB17))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27584,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB17, 1)) | v88(constB17, 0) | v88(constB17, 2) | v143(constB17)),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27583, 27582])).
% 28.54/19.09 tff(27585,plain,
% 28.54/19.09 (v143(constB17)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27584, 27047, 27578, 27574, 27570])).
% 28.54/19.09 tff(27586,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB17)) | v142(constB17))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB17)) | v142(constB17))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27587,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB17)) | v142(constB17))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27588,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB17)) | v142(constB17)),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27587, 27586])).
% 28.54/19.09 tff(27589,plain,
% 28.54/19.09 (v142(constB17)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27588, 27064, 27585])).
% 28.54/19.09 tff(27590,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB17)) | v165(constB17))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB17)) | v165(constB17))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27591,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB17)) | v165(constB17))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27592,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB17)) | v165(constB17)),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27591, 27590])).
% 28.54/19.09 tff(27593,plain,
% 28.54/19.09 (v165(constB17)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27592, 27075, 27589])).
% 28.54/19.09 tff(27594,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB17) | (~v165(constB17)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB17) | (~v165(constB17)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27595,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB17) | (~v165(constB17)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27596,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB17) | (~v165(constB17))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27595, 27594])).
% 28.54/19.09 tff(27597,plain,
% 28.54/19.09 (v164(constB17)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27596, 27089, 27593])).
% 28.54/19.09 tff(27598,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB17)) | (~v88(constB17, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB17)) | (~v88(constB17, 1)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27599,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB17)) | (~v88(constB17, 1)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27600,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB17)) | (~v88(constB17, 1))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27599, 27598])).
% 28.54/19.09 tff(27601,plain,
% 28.54/19.09 (~v139(constB17)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27600, 27117, 27578])).
% 28.54/19.09 tff(27602,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB17)) | (~v88(constB17, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB17)) | (~v88(constB17, 1)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27603,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB17)) | (~v88(constB17, 1)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27604,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB17)) | (~v88(constB17, 1))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27603, 27602])).
% 28.54/19.09 tff(27605,plain,
% 28.54/19.09 (~v140(constB17)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27604, 27128, 27578])).
% 28.54/19.09 tff(27606,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB17) | v140(constB17) | (~v168(constB17)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB17) | v140(constB17) | (~v168(constB17)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27607,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB17) | v140(constB17) | (~v168(constB17)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27608,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB17) | v140(constB17) | (~v168(constB17))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27607, 27606])).
% 28.54/19.09 tff(27609,plain,
% 28.54/19.09 (~v168(constB17)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27608, 27142, 27605, 27601])).
% 28.54/19.09 tff(27610,plain,
% 28.54/19.09 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB17)) | (~v164(constB17)) | v168(constB17))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB17)) | (~v164(constB17)) | v168(constB17))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27611,plain,
% 28.54/19.09 (((~v164(constB17)) | v168(constB17) | (~v161(constB17))) <=> ((~v161(constB17)) | (~v164(constB17)) | v168(constB17))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27612,plain,
% 28.54/19.09 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB17)) | v168(constB17) | (~v161(constB17)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB17)) | (~v164(constB17)) | v168(constB17)))),
% 28.54/19.09 inference(monotonicity,[status(thm)],[27611])).
% 28.54/19.09 tff(27613,plain,
% 28.54/19.09 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB17)) | v168(constB17) | (~v161(constB17)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB17)) | (~v164(constB17)) | v168(constB17))),
% 28.54/19.09 inference(transitivity,[status(thm)],[27612, 27610])).
% 28.54/19.09 tff(27614,plain,
% 28.54/19.09 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB17)) | v168(constB17) | (~v161(constB17)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27615,plain,
% 28.54/19.09 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB17)) | (~v164(constB17)) | v168(constB17)),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27614, 27613])).
% 28.54/19.09 tff(27616,plain,
% 28.54/19.09 ((~v161(constB17)) | (~v164(constB17))),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27615, 27156, 27609])).
% 28.54/19.09 tff(27617,plain,
% 28.54/19.09 (~v161(constB17)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27616, 27597])).
% 28.54/19.09 tff(27618,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB17) | (~v187(constB17)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB17) | (~v187(constB17)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27619,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB17) | (~v187(constB17)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27620,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB17) | (~v187(constB17))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27619, 27618])).
% 28.54/19.09 tff(27621,plain,
% 28.54/19.09 (~v187(constB17)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27620, 27174, 27617])).
% 28.54/19.09 tff(27622,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB17) | (~v185(constB17)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB17) | (~v185(constB17)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27623,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB17) | (~v185(constB17)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27624,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB17) | (~v185(constB17))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27623, 27622])).
% 28.54/19.09 tff(27625,plain,
% 28.54/19.09 (~v185(constB17)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27624, 27188, 27621])).
% 28.54/19.09 tff(27626,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB17) | v185(constB17) | (~v178(constB17)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB17) | v185(constB17) | (~v178(constB17)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27627,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB17) | v185(constB17) | (~v178(constB17)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27628,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB17) | v185(constB17) | (~v178(constB17))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27627, 27626])).
% 28.54/19.09 tff(27629,plain,
% 28.54/19.09 (v181(constB17) | (~v178(constB17))),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27628, 27314, 27625])).
% 28.54/19.09 tff(27630,plain,
% 28.54/19.09 (~v178(constB17)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27629, 27566])).
% 28.54/19.09 tff(27631,plain,
% 28.54/19.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB17, constB18)) | v178(constB17) | (~v180(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB17, constB18)) | v178(constB17) | (~v180(constB18)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27632,plain,
% 28.54/19.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB17, constB18)) | v178(constB17) | (~v180(constB18)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27633,plain,
% 28.54/19.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB17, constB18)) | v178(constB17) | (~v180(constB18))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27632, 27631])).
% 28.54/19.09 tff(27634,plain,
% 28.54/19.09 (v178(constB17) | (~v180(constB18))),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27633, 27329, 2554])).
% 28.54/19.09 tff(27635,plain,
% 28.54/19.09 (~v180(constB18)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27634, 27630])).
% 28.54/19.09 tff(27636,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB18) | (~v181(constB18)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB18) | (~v181(constB18)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27637,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB18) | (~v181(constB18)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27638,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB18) | (~v181(constB18))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27637, 27636])).
% 28.54/19.09 tff(27639,plain,
% 28.54/19.09 (~v181(constB18)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27638, 27344, 27635])).
% 28.54/19.09 tff(27640,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB18)) | (~v184(constB18)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB18)) | (~v184(constB18)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27641,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB18)) | (~v184(constB18)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27642,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB18)) | (~v184(constB18))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27641, 27640])).
% 28.54/19.09 tff(27643,plain,
% 28.54/19.09 (~v184(constB18)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27642, 59, 2574])).
% 28.54/19.09 tff(27644,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB18) | (~v187(constB18)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB18) | (~v187(constB18)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27645,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB18) | (~v187(constB18)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27646,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB18) | (~v187(constB18))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27645, 27644])).
% 28.54/19.09 tff(27647,plain,
% 28.54/19.09 (~v187(constB18)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27646, 27362, 27643])).
% 28.54/19.09 tff(27648,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB18) | (~v185(constB18)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB18) | (~v185(constB18)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27649,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB18) | (~v185(constB18)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27650,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB18) | (~v185(constB18))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27649, 27648])).
% 28.54/19.09 tff(27651,plain,
% 28.54/19.09 (~v185(constB18)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27650, 27188, 27647])).
% 28.54/19.09 tff(27652,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB18) | v185(constB18) | (~v178(constB18)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB18) | v185(constB18) | (~v178(constB18)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27653,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB18) | v185(constB18) | (~v178(constB18)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27654,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB18) | v185(constB18) | (~v178(constB18))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27653, 27652])).
% 28.54/19.09 tff(27655,plain,
% 28.54/19.09 (v181(constB18) | (~v178(constB18))),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27654, 27314, 27651])).
% 28.54/19.09 tff(27656,plain,
% 28.54/19.09 (~v178(constB18)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27655, 27639])).
% 28.54/19.09 tff(27657,plain,
% 28.54/19.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB18, constB19)) | v178(constB18) | (~v180(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB18, constB19)) | v178(constB18) | (~v180(constB19)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27658,plain,
% 28.54/19.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB18, constB19)) | v178(constB18) | (~v180(constB19)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27659,plain,
% 28.54/19.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB18, constB19)) | v178(constB18) | (~v180(constB19))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27658, 27657])).
% 28.54/19.09 tff(27660,plain,
% 28.54/19.09 (v178(constB18) | (~v180(constB19))),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27659, 27329, 2616])).
% 28.54/19.09 tff(27661,plain,
% 28.54/19.09 (~v180(constB19)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27660, 27656])).
% 28.54/19.09 tff(27662,assumption,(constB19 = sK_VarCurr), introduced(assumption)).
% 28.54/19.09 tff(27663,plain,
% 28.54/19.09 (v180(constB19) <=> v180(sK_VarCurr)),
% 28.54/19.09 inference(monotonicity,[status(thm)],[27662])).
% 28.54/19.09 tff(27664,plain,
% 28.54/19.09 (v180(sK_VarCurr) <=> v180(constB19)),
% 28.54/19.09 inference(symmetry,[status(thm)],[27663])).
% 28.54/19.09 tff(27665,plain,
% 28.54/19.09 (v180(constB19)),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[86, 27664])).
% 28.54/19.09 tff(27666,assumption,(~v180(constB19)), introduced(assumption)).
% 28.54/19.09 tff(27667,plain,
% 28.54/19.09 ($false),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27666, 27665])).
% 28.54/19.09 tff(27668,plain,((~(constB19 = sK_VarCurr)) | v180(constB19)), inference(lemma,lemma(discharge,[]))).
% 28.54/19.09 tff(27669,plain,
% 28.54/19.09 (~(constB19 = sK_VarCurr)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27668, 27661])).
% 28.54/19.09 tff(27670,assumption,(constB71 = sK_VarCurr), introduced(assumption)).
% 28.54/19.09 tff(27671,plain,
% 28.54/19.09 (v180(constB71) <=> v180(sK_VarCurr)),
% 28.54/19.09 inference(monotonicity,[status(thm)],[27670])).
% 28.54/19.09 tff(27672,plain,
% 28.54/19.09 (v180(sK_VarCurr) <=> v180(constB71)),
% 28.54/19.09 inference(symmetry,[status(thm)],[27671])).
% 28.54/19.09 tff(27673,plain,
% 28.54/19.09 (v180(constB71)),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[86, 27672])).
% 28.54/19.09 tff(27674,plain,
% 28.54/19.09 (^[VarCurr: state_type] : refl(((~v90(VarCurr, 2)) | v88(VarCurr, 2)) <=> ((~v90(VarCurr, 2)) | v88(VarCurr, 2)))),
% 28.54/19.09 inference(bind,[status(th)],[])).
% 28.54/19.09 tff(27675,plain,
% 28.54/19.09 (![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))),
% 28.54/19.09 inference(quant_intro,[status(thm)],[27674])).
% 28.54/19.09 tff(27676,plain,
% 28.54/19.09 (![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27677,axiom,(![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_5')).
% 28.54/19.09 tff(27678,plain,
% 28.54/19.09 (![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27677, 27676])).
% 28.54/19.09 tff(27679,plain,(
% 28.54/19.09 ![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))),
% 28.54/19.09 inference(skolemize,[status(sab)],[27678])).
% 28.54/19.09 tff(27680,plain,
% 28.54/19.09 (![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27679, 27675])).
% 28.54/19.09 tff(27681,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB69, 2)) | v88(constB69, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB69, 2)) | v88(constB69, 2))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27682,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB69, 2)) | v88(constB69, 2))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27683,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB69, 2)) | v88(constB69, 2)),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27682, 27681])).
% 28.54/19.09 tff(27684,plain,
% 28.54/19.09 (v88(constB69, 2)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27683, 27680, 9467])).
% 28.54/19.09 tff(27685,plain,
% 28.54/19.09 (^[VarCurr: state_type] : refl(((~v139(VarCurr)) | (~v88(VarCurr, 2))) <=> ((~v139(VarCurr)) | (~v88(VarCurr, 2))))),
% 28.54/19.09 inference(bind,[status(th)],[])).
% 28.54/19.09 tff(27686,plain,
% 28.54/19.09 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))),
% 28.54/19.09 inference(quant_intro,[status(thm)],[27685])).
% 28.54/19.09 tff(27687,plain,
% 28.54/19.09 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27688,axiom,(![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_2')).
% 28.54/19.09 tff(27689,plain,
% 28.54/19.09 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27688, 27687])).
% 28.54/19.09 tff(27690,plain,(
% 28.54/19.09 ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))),
% 28.54/19.09 inference(skolemize,[status(sab)],[27689])).
% 28.54/19.09 tff(27691,plain,
% 28.54/19.09 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27690, 27686])).
% 28.54/19.09 tff(27692,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB69)) | (~v88(constB69, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB69)) | (~v88(constB69, 2)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27693,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB69)) | (~v88(constB69, 2)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27694,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB69)) | (~v88(constB69, 2))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27693, 27692])).
% 28.54/19.09 tff(27695,plain,
% 28.54/19.09 (~v139(constB69)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27694, 27691, 27684])).
% 28.54/19.09 tff(27696,plain,
% 28.54/19.09 (^[VarCurr: state_type] : refl(((~v140(VarCurr)) | (~v88(VarCurr, 2))) <=> ((~v140(VarCurr)) | (~v88(VarCurr, 2))))),
% 28.54/19.09 inference(bind,[status(th)],[])).
% 28.54/19.09 tff(27697,plain,
% 28.54/19.09 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))),
% 28.54/19.09 inference(quant_intro,[status(thm)],[27696])).
% 28.54/19.09 tff(27698,plain,
% 28.54/19.09 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27699,axiom,(![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_3')).
% 28.54/19.09 tff(27700,plain,
% 28.54/19.09 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27699, 27698])).
% 28.54/19.09 tff(27701,plain,(
% 28.54/19.09 ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))),
% 28.54/19.09 inference(skolemize,[status(sab)],[27700])).
% 28.54/19.09 tff(27702,plain,
% 28.54/19.09 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27701, 27697])).
% 28.54/19.09 tff(27703,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB69)) | (~v88(constB69, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB69)) | (~v88(constB69, 2)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27704,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB69)) | (~v88(constB69, 2)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27705,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB69)) | (~v88(constB69, 2))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27704, 27703])).
% 28.54/19.09 tff(27706,plain,
% 28.54/19.09 (~v140(constB69)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27705, 27702, 27684])).
% 28.54/19.09 tff(27707,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB69) | v140(constB69) | (~v168(constB69)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB69) | v140(constB69) | (~v168(constB69)))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27708,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB69) | v140(constB69) | (~v168(constB69)))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27709,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB69) | v140(constB69) | (~v168(constB69))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27708, 27707])).
% 28.54/19.09 tff(27710,plain,
% 28.54/19.09 (~v168(constB69)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27709, 27142, 27706, 27695])).
% 28.54/19.09 tff(27711,plain,
% 28.54/19.09 (^[VarCurr: state_type] : refl(((~v88(VarCurr, 1)) | v90(VarCurr, 1)) <=> ((~v88(VarCurr, 1)) | v90(VarCurr, 1)))),
% 28.54/19.09 inference(bind,[status(th)],[])).
% 28.54/19.09 tff(27712,plain,
% 28.54/19.09 (![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))),
% 28.54/19.09 inference(quant_intro,[status(thm)],[27711])).
% 28.54/19.09 tff(27713,plain,
% 28.54/19.09 (![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27714,axiom,(![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_4')).
% 28.54/19.09 tff(27715,plain,
% 28.54/19.09 (![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27714, 27713])).
% 28.54/19.09 tff(27716,plain,(
% 28.54/19.09 ![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))),
% 28.54/19.09 inference(skolemize,[status(sab)],[27715])).
% 28.54/19.09 tff(27717,plain,
% 28.54/19.09 (![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27716, 27712])).
% 28.54/19.09 tff(27718,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB69, 1)) | v90(constB69, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB69, 1)) | v90(constB69, 1))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27719,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB69, 1)) | v90(constB69, 1))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27720,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB69, 1)) | v90(constB69, 1)),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27719, 27718])).
% 28.54/19.09 tff(27721,plain,
% 28.54/19.09 (~v88(constB69, 1)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27720, 27717, 9501])).
% 28.54/19.09 tff(27722,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB69, 0)) | v90(constB69, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB69, 0)) | v90(constB69, 0))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27723,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB69, 0)) | v90(constB69, 0))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27724,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB69, 0)) | v90(constB69, 0)),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27723, 27722])).
% 28.54/19.09 tff(27725,plain,
% 28.54/19.09 (~v88(constB69, 0)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27724, 26990, 9535])).
% 28.54/19.09 tff(27726,plain,
% 28.54/19.09 (^[VarCurr: state_type] : refl(((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr)) <=> ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr)))),
% 28.54/19.09 inference(bind,[status(th)],[])).
% 28.54/19.09 tff(27727,plain,
% 28.54/19.09 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))),
% 28.54/19.09 inference(quant_intro,[status(thm)],[27726])).
% 28.54/19.09 tff(27728,plain,
% 28.54/19.09 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27729,plain,
% 28.54/19.09 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v88(VarCurr, 0) | v88(VarCurr, 1)) | (~v88(VarCurr, 2))) <=> ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0))), ((((v88(VarCurr, 0) | v88(VarCurr, 1)) | (~v88(VarCurr, 2))) | v146(VarCurr)) <=> (((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0)) | v146(VarCurr)))), rewrite((((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0)) | v146(VarCurr)) <=> ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))), ((((v88(VarCurr, 0) | v88(VarCurr, 1)) | (~v88(VarCurr, 2))) | v146(VarCurr)) <=> ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))))),
% 28.54/19.09 inference(bind,[status(th)],[])).
% 28.54/19.09 tff(27730,plain,
% 28.54/19.09 (![VarCurr: state_type] : (((v88(VarCurr, 0) | v88(VarCurr, 1)) | (~v88(VarCurr, 2))) | v146(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))),
% 28.54/19.09 inference(quant_intro,[status(thm)],[27729])).
% 28.54/19.09 tff(27731,axiom,(![VarCurr: state_type] : (((v88(VarCurr, 0) | v88(VarCurr, 1)) | (~v88(VarCurr, 2))) | v146(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_14_1_1_1')).
% 28.54/19.09 tff(27732,plain,
% 28.54/19.09 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27731, 27730])).
% 28.54/19.09 tff(27733,plain,
% 28.54/19.09 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27732, 27728])).
% 28.54/19.09 tff(27734,plain,(
% 28.54/19.09 ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))),
% 28.54/19.09 inference(skolemize,[status(sab)],[27733])).
% 28.54/19.09 tff(27735,plain,
% 28.54/19.09 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27734, 27727])).
% 28.54/19.09 tff(27736,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB69, 0) | (~v88(constB69, 2)) | v88(constB69, 1) | v146(constB69))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB69, 0) | (~v88(constB69, 2)) | v88(constB69, 1) | v146(constB69))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27737,plain,
% 28.54/19.09 (((~v88(constB69, 2)) | v88(constB69, 1) | v88(constB69, 0) | v146(constB69)) <=> (v88(constB69, 0) | (~v88(constB69, 2)) | v88(constB69, 1) | v146(constB69))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27738,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB69, 2)) | v88(constB69, 1) | v88(constB69, 0) | v146(constB69))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB69, 0) | (~v88(constB69, 2)) | v88(constB69, 1) | v146(constB69)))),
% 28.54/19.09 inference(monotonicity,[status(thm)],[27737])).
% 28.54/19.09 tff(27739,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB69, 2)) | v88(constB69, 1) | v88(constB69, 0) | v146(constB69))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB69, 0) | (~v88(constB69, 2)) | v88(constB69, 1) | v146(constB69))),
% 28.54/19.09 inference(transitivity,[status(thm)],[27738, 27736])).
% 28.54/19.09 tff(27740,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB69, 2)) | v88(constB69, 1) | v88(constB69, 0) | v146(constB69))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27741,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB69, 0) | (~v88(constB69, 2)) | v88(constB69, 1) | v146(constB69)),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27740, 27739])).
% 28.54/19.09 tff(27742,plain,
% 28.54/19.09 (v146(constB69)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27741, 27735, 27684, 27725, 27721])).
% 28.54/19.09 tff(27743,plain,
% 28.54/19.09 (^[VarCurr: state_type] : refl(((~v146(VarCurr)) | v145(VarCurr)) <=> ((~v146(VarCurr)) | v145(VarCurr)))),
% 28.54/19.09 inference(bind,[status(th)],[])).
% 28.54/19.09 tff(27744,plain,
% 28.54/19.09 (![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr)) <=> ![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))),
% 28.54/19.09 inference(quant_intro,[status(thm)],[27743])).
% 28.54/19.09 tff(27745,plain,
% 28.54/19.09 (![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr)) <=> ![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27746,axiom,(![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_32_1_2')).
% 28.54/19.09 tff(27747,plain,
% 28.54/19.09 (![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27746, 27745])).
% 28.54/19.09 tff(27748,plain,(
% 28.54/19.09 ![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))),
% 28.54/19.09 inference(skolemize,[status(sab)],[27747])).
% 28.54/19.09 tff(27749,plain,
% 28.54/19.09 (![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27748, 27744])).
% 28.54/19.09 tff(27750,plain,
% 28.54/19.09 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB69)) | v145(constB69))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB69)) | v145(constB69))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27751,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB69)) | v145(constB69))),
% 28.54/19.09 inference(quant_inst,[status(thm)],[])).
% 28.54/19.09 tff(27752,plain,
% 28.54/19.09 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB69)) | v145(constB69)),
% 28.54/19.09 inference(modus_ponens,[status(thm)],[27751, 27750])).
% 28.54/19.09 tff(27753,plain,
% 28.54/19.09 (v145(constB69)),
% 28.54/19.09 inference(unit_resolution,[status(thm)],[27752, 27749, 27742])).
% 28.54/19.09 tff(27754,plain,
% 28.54/19.09 (^[VarCurr: state_type] : refl(((~v145(VarCurr)) | v164(VarCurr)) <=> ((~v145(VarCurr)) | v164(VarCurr)))),
% 28.54/19.09 inference(bind,[status(th)],[])).
% 28.54/19.09 tff(27755,plain,
% 28.54/19.09 (![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr)) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))),
% 28.54/19.09 inference(quant_intro,[status(thm)],[27754])).
% 28.54/19.09 tff(27756,plain,
% 28.54/19.09 (![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr)) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))),
% 28.54/19.09 inference(rewrite,[status(thm)],[])).
% 28.54/19.09 tff(27757,axiom,(![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_39_1_1_2')).
% 28.54/19.10 tff(27758,plain,
% 28.54/19.10 (![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27757, 27756])).
% 28.54/19.10 tff(27759,plain,(
% 28.54/19.10 ![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))),
% 28.54/19.10 inference(skolemize,[status(sab)],[27758])).
% 28.54/19.10 tff(27760,plain,
% 28.54/19.10 (![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27759, 27755])).
% 28.54/19.10 tff(27761,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB69) | (~v145(constB69)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB69) | (~v145(constB69)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27762,plain,
% 28.54/19.10 (((~v145(constB69)) | v164(constB69)) <=> (v164(constB69) | (~v145(constB69)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27763,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB69)) | v164(constB69))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB69) | (~v145(constB69))))),
% 28.54/19.10 inference(monotonicity,[status(thm)],[27762])).
% 28.54/19.10 tff(27764,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB69)) | v164(constB69))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB69) | (~v145(constB69)))),
% 28.54/19.10 inference(transitivity,[status(thm)],[27763, 27761])).
% 28.54/19.10 tff(27765,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB69)) | v164(constB69))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27766,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB69) | (~v145(constB69))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27765, 27764])).
% 28.54/19.10 tff(27767,plain,
% 28.54/19.10 (v164(constB69)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27766, 27760, 27753])).
% 28.54/19.10 tff(27768,plain,
% 28.54/19.10 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB69)) | (~v164(constB69)) | v168(constB69))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB69)) | (~v164(constB69)) | v168(constB69))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27769,plain,
% 28.54/19.10 (((~v164(constB69)) | v168(constB69) | (~v161(constB69))) <=> ((~v161(constB69)) | (~v164(constB69)) | v168(constB69))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27770,plain,
% 28.54/19.10 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB69)) | v168(constB69) | (~v161(constB69)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB69)) | (~v164(constB69)) | v168(constB69)))),
% 28.54/19.10 inference(monotonicity,[status(thm)],[27769])).
% 28.54/19.10 tff(27771,plain,
% 28.54/19.10 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB69)) | v168(constB69) | (~v161(constB69)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB69)) | (~v164(constB69)) | v168(constB69))),
% 28.54/19.10 inference(transitivity,[status(thm)],[27770, 27768])).
% 28.54/19.10 tff(27772,plain,
% 28.54/19.10 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB69)) | v168(constB69) | (~v161(constB69)))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27773,plain,
% 28.54/19.10 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB69)) | (~v164(constB69)) | v168(constB69)),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27772, 27771])).
% 28.54/19.10 tff(27774,plain,
% 28.54/19.10 (~v161(constB69)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27773, 27156, 27767, 27710])).
% 28.54/19.10 tff(27775,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB69) | (~v187(constB69)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB69) | (~v187(constB69)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27776,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB69) | (~v187(constB69)))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27777,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB69) | (~v187(constB69))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27776, 27775])).
% 28.54/19.10 tff(27778,plain,
% 28.54/19.10 (~v187(constB69)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27777, 27174, 27774])).
% 28.54/19.10 tff(27779,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB69) | (~v185(constB69)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB69) | (~v185(constB69)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27780,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB69) | (~v185(constB69)))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27781,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB69) | (~v185(constB69))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27780, 27779])).
% 28.54/19.10 tff(27782,plain,
% 28.54/19.10 (~v185(constB69)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27781, 27188, 27778])).
% 28.54/19.10 tff(27783,assumption,(v18(constB70)), introduced(assumption)).
% 28.54/19.10 tff(27784,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB70))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27785,plain,
% 28.54/19.10 ($false),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27784, 27200, 27783])).
% 28.54/19.10 tff(27786,plain,(~v18(constB70)), inference(lemma,lemma(discharge,[]))).
% 28.54/19.10 tff(27787,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB70) | (~v1(constB70)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB70) | (~v1(constB70)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27788,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB70) | (~v1(constB70)))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27789,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB70) | (~v1(constB70))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27788, 27787])).
% 28.54/19.10 tff(27790,plain,
% 28.54/19.10 (v22(constB70)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27789, 27216, 9593])).
% 28.54/19.10 tff(27791,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB70) | (~v22(constB70)) | (~v19(constB70)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB70) | (~v22(constB70)) | (~v19(constB70)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27792,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB70) | (~v22(constB70)) | (~v19(constB70)))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27793,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB70) | (~v22(constB70)) | (~v19(constB70))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27792, 27791])).
% 28.54/19.10 tff(27794,plain,
% 28.54/19.10 (v18(constB70) | (~v19(constB70))),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27793, 27230, 27790])).
% 28.54/19.10 tff(27795,plain,
% 28.54/19.10 (~v19(constB70)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27794, 27786])).
% 28.54/19.10 tff(27796,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB70) | v19(constB70))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB70) | v19(constB70))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27797,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB70) | v19(constB70))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27798,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB70) | v19(constB70)),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27797, 27796])).
% 28.54/19.10 tff(27799,plain,
% 28.54/19.10 (v13(constB70)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27798, 27242, 27795])).
% 28.54/19.10 tff(27800,plain,
% 28.54/19.10 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB69) | (~v13(constB70)) | (~nextState(constB69, constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB69) | (~v13(constB70)) | (~nextState(constB69, constB70)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27801,plain,
% 28.54/19.10 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB69) | (~v13(constB70)) | (~nextState(constB69, constB70)))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27802,plain,
% 28.54/19.10 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB69) | (~v13(constB70)) | (~nextState(constB69, constB70))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27801, 27800])).
% 28.54/19.10 tff(27803,plain,
% 28.54/19.10 (v9(constB69) | (~v13(constB70))),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27802, 27259, 9573])).
% 28.54/19.10 tff(27804,plain,
% 28.54/19.10 (v9(constB69)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27803, 27799])).
% 28.54/19.10 tff(27805,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB69) | (~v9(constB69)) | v184(constB69))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB69) | (~v9(constB69)) | v184(constB69))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27806,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB69) | (~v9(constB69)) | v184(constB69))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27807,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB69) | (~v9(constB69)) | v184(constB69)),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27806, 27805])).
% 28.54/19.10 tff(27808,plain,
% 28.54/19.10 ((~v9(constB69)) | v184(constB69)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27807, 27274, 9443])).
% 28.54/19.10 tff(27809,plain,
% 28.54/19.10 (v184(constB69)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27808, 27804])).
% 28.54/19.10 tff(27810,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB69)) | v183(constB69))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB69)) | v183(constB69))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27811,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB69)) | v183(constB69))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27812,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB69)) | v183(constB69)),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27811, 27810])).
% 28.54/19.10 tff(27813,plain,
% 28.54/19.10 (v183(constB69)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27812, 27286, 27809])).
% 28.54/19.10 tff(27814,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB69)) | (~v183(constB69)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB69)) | (~v183(constB69)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27815,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB69)) | (~v183(constB69)))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27816,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB69)) | (~v183(constB69))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27815, 27814])).
% 28.54/19.10 tff(27817,plain,
% 28.54/19.10 (~v181(constB69)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27816, 27300, 27813])).
% 28.54/19.10 tff(27818,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB69) | v185(constB69) | (~v178(constB69)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB69) | v185(constB69) | (~v178(constB69)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27819,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB69) | v185(constB69) | (~v178(constB69)))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27820,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB69) | v185(constB69) | (~v178(constB69))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27819, 27818])).
% 28.54/19.10 tff(27821,plain,
% 28.54/19.10 (v185(constB69) | (~v178(constB69))),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27820, 27314, 27817])).
% 28.54/19.10 tff(27822,plain,
% 28.54/19.10 (~v178(constB69)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27821, 27782])).
% 28.54/19.10 tff(27823,plain,
% 28.54/19.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB69, constB70)) | v178(constB69) | (~v180(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB69, constB70)) | v178(constB69) | (~v180(constB70)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27824,plain,
% 28.54/19.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB69, constB70)) | v178(constB69) | (~v180(constB70)))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27825,plain,
% 28.54/19.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB69, constB70)) | v178(constB69) | (~v180(constB70))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27824, 27823])).
% 28.54/19.10 tff(27826,plain,
% 28.54/19.10 (v178(constB69) | (~v180(constB70))),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27825, 27329, 9573])).
% 28.54/19.10 tff(27827,plain,
% 28.54/19.10 (~v180(constB70)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27826, 27822])).
% 28.54/19.10 tff(27828,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB70) | (~v181(constB70)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB70) | (~v181(constB70)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27829,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB70) | (~v181(constB70)))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27830,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB70) | (~v181(constB70))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27829, 27828])).
% 28.54/19.10 tff(27831,plain,
% 28.54/19.10 (~v181(constB70)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27830, 27344, 27827])).
% 28.54/19.10 tff(27832,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB70)) | (~v184(constB70)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB70)) | (~v184(constB70)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27833,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB70)) | (~v184(constB70)))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27834,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB70)) | (~v184(constB70))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27833, 27832])).
% 28.54/19.10 tff(27835,plain,
% 28.54/19.10 (~v184(constB70)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27834, 59, 9593])).
% 28.54/19.10 tff(27836,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB70) | (~v187(constB70)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB70) | (~v187(constB70)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27837,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB70) | (~v187(constB70)))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27838,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB70) | (~v187(constB70))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27837, 27836])).
% 28.54/19.10 tff(27839,plain,
% 28.54/19.10 (~v187(constB70)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27838, 27362, 27835])).
% 28.54/19.10 tff(27840,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB70) | (~v185(constB70)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB70) | (~v185(constB70)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27841,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB70) | (~v185(constB70)))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27842,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB70) | (~v185(constB70))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27841, 27840])).
% 28.54/19.10 tff(27843,plain,
% 28.54/19.10 (~v185(constB70)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27842, 27188, 27839])).
% 28.54/19.10 tff(27844,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB70) | v185(constB70) | (~v178(constB70)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB70) | v185(constB70) | (~v178(constB70)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27845,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB70) | v185(constB70) | (~v178(constB70)))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27846,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB70) | v185(constB70) | (~v178(constB70))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27845, 27844])).
% 28.54/19.10 tff(27847,plain,
% 28.54/19.10 (v181(constB70) | (~v178(constB70))),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27846, 27314, 27843])).
% 28.54/19.10 tff(27848,plain,
% 28.54/19.10 (~v178(constB70)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27847, 27831])).
% 28.54/19.10 tff(27849,plain,
% 28.54/19.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB70, constB71)) | v178(constB70) | (~v180(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB70, constB71)) | v178(constB70) | (~v180(constB71)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27850,plain,
% 28.54/19.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB70, constB71)) | v178(constB70) | (~v180(constB71)))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27851,plain,
% 28.54/19.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB70, constB71)) | v178(constB70) | (~v180(constB71))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27850, 27849])).
% 28.54/19.10 tff(27852,plain,
% 28.54/19.10 (v178(constB70) | (~v180(constB71))),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27851, 27329, 9635])).
% 28.54/19.10 tff(27853,plain,
% 28.54/19.10 (~v180(constB71)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27852, 27848])).
% 28.54/19.10 tff(27854,plain,
% 28.54/19.10 ($false),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27853, 27673])).
% 28.54/19.10 tff(27855,plain,(~(constB71 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.54/19.10 tff(27856,assumption,(constB97 = sK_VarCurr), introduced(assumption)).
% 28.54/19.10 tff(27857,plain,
% 28.54/19.10 (v180(constB97) <=> v180(sK_VarCurr)),
% 28.54/19.10 inference(monotonicity,[status(thm)],[27856])).
% 28.54/19.10 tff(27858,plain,
% 28.54/19.10 (v180(sK_VarCurr) <=> v180(constB97)),
% 28.54/19.10 inference(symmetry,[status(thm)],[27857])).
% 28.54/19.10 tff(27859,plain,
% 28.54/19.10 (v180(constB97)),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[86, 27858])).
% 28.54/19.10 tff(27860,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB95, 2)) | v88(constB95, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB95, 2)) | v88(constB95, 2))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27861,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB95, 2)) | v88(constB95, 2))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27862,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB95, 2)) | v88(constB95, 2)),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27861, 27860])).
% 28.54/19.10 tff(27863,plain,
% 28.54/19.10 (v88(constB95, 2)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27862, 27680, 12420])).
% 28.54/19.10 tff(27864,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB95)) | (~v88(constB95, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB95)) | (~v88(constB95, 2)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27865,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB95)) | (~v88(constB95, 2)))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27866,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB95)) | (~v88(constB95, 2))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27865, 27864])).
% 28.54/19.10 tff(27867,plain,
% 28.54/19.10 (~v140(constB95)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27866, 27702, 27863])).
% 28.54/19.10 tff(27868,plain,
% 28.54/19.10 (^[VarCurr: state_type] : refl(((~v90(VarCurr, 0)) | v88(VarCurr, 0)) <=> ((~v90(VarCurr, 0)) | v88(VarCurr, 0)))),
% 28.54/19.10 inference(bind,[status(th)],[])).
% 28.54/19.10 tff(27869,plain,
% 28.54/19.10 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))),
% 28.54/19.10 inference(quant_intro,[status(thm)],[27868])).
% 28.54/19.10 tff(27870,plain,
% 28.54/19.10 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27871,axiom,(![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8_1_1')).
% 28.54/19.10 tff(27872,plain,
% 28.54/19.10 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27871, 27870])).
% 28.54/19.10 tff(27873,plain,(
% 28.54/19.10 ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))),
% 28.54/19.10 inference(skolemize,[status(sab)],[27872])).
% 28.54/19.10 tff(27874,plain,
% 28.54/19.10 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27873, 27869])).
% 28.54/19.10 tff(27875,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB95, 0)) | v88(constB95, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB95, 0)) | v88(constB95, 0))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27876,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB95, 0)) | v88(constB95, 0))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27877,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB95, 0)) | v88(constB95, 0)),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27876, 27875])).
% 28.54/19.10 tff(27878,plain,
% 28.54/19.10 (v88(constB95, 0)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27877, 27874, 12485])).
% 28.54/19.10 tff(27879,plain,
% 28.54/19.10 (^[VarCurr: state_type] : refl(((~v139(VarCurr)) | (~v88(VarCurr, 0))) <=> ((~v139(VarCurr)) | (~v88(VarCurr, 0))))),
% 28.54/19.10 inference(bind,[status(th)],[])).
% 28.54/19.10 tff(27880,plain,
% 28.54/19.10 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))),
% 28.54/19.10 inference(quant_intro,[status(thm)],[27879])).
% 28.54/19.10 tff(27881,plain,
% 28.54/19.10 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27882,axiom,(![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_4')).
% 28.54/19.10 tff(27883,plain,
% 28.54/19.10 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27882, 27881])).
% 28.54/19.10 tff(27884,plain,(
% 28.54/19.10 ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))),
% 28.54/19.10 inference(skolemize,[status(sab)],[27883])).
% 28.54/19.10 tff(27885,plain,
% 28.54/19.10 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27884, 27880])).
% 28.54/19.10 tff(27886,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB95)) | (~v88(constB95, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB95)) | (~v88(constB95, 0)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27887,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB95)) | (~v88(constB95, 0)))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27888,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB95)) | (~v88(constB95, 0))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27887, 27886])).
% 28.54/19.10 tff(27889,plain,
% 28.54/19.10 (~v139(constB95)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27888, 27885, 27878])).
% 28.54/19.10 tff(27890,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB95) | v140(constB95) | (~v168(constB95)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB95) | v140(constB95) | (~v168(constB95)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27891,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB95) | v140(constB95) | (~v168(constB95)))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27892,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB95) | v140(constB95) | (~v168(constB95))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27891, 27890])).
% 28.54/19.10 tff(27893,plain,
% 28.54/19.10 (~v168(constB95)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27892, 27142, 27889, 27867])).
% 28.54/19.10 tff(27894,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB95, 1)) | v90(constB95, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB95, 1)) | v90(constB95, 1))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27895,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB95, 1)) | v90(constB95, 1))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27896,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB95, 1)) | v90(constB95, 1)),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27895, 27894])).
% 28.54/19.10 tff(27897,plain,
% 28.54/19.10 (~v88(constB95, 1)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27896, 27717, 12454])).
% 28.54/19.10 tff(27898,plain,
% 28.54/19.10 (^[VarCurr: state_type] : refl(((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr)) <=> ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr)))),
% 28.54/19.10 inference(bind,[status(th)],[])).
% 28.54/19.10 tff(27899,plain,
% 28.54/19.10 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))),
% 28.54/19.10 inference(quant_intro,[status(thm)],[27898])).
% 28.54/19.10 tff(27900,plain,
% 28.54/19.10 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27901,plain,
% 28.54/19.10 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v88(VarCurr, 1) | (~v88(VarCurr, 0))) <=> (v88(VarCurr, 1) | (~v88(VarCurr, 0)))), (((v88(VarCurr, 1) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 2))) <=> ((v88(VarCurr, 1) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 2))))), rewrite(((v88(VarCurr, 1) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 2))) <=> ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)))), (((v88(VarCurr, 1) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 2))) <=> ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0))))), ((((v88(VarCurr, 1) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 2))) | v147(VarCurr)) <=> (((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0))) | v147(VarCurr)))), rewrite((((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0))) | v147(VarCurr)) <=> ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))), ((((v88(VarCurr, 1) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 2))) | v147(VarCurr)) <=> ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))))),
% 28.54/19.10 inference(bind,[status(th)],[])).
% 28.54/19.10 tff(27902,plain,
% 28.54/19.10 (![VarCurr: state_type] : (((v88(VarCurr, 1) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 2))) | v147(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))),
% 28.54/19.10 inference(quant_intro,[status(thm)],[27901])).
% 28.54/19.10 tff(27903,axiom,(![VarCurr: state_type] : (((v88(VarCurr, 1) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 2))) | v147(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_15_1_1_1')).
% 28.54/19.10 tff(27904,plain,
% 28.54/19.10 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27903, 27902])).
% 28.54/19.10 tff(27905,plain,
% 28.54/19.10 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27904, 27900])).
% 28.54/19.10 tff(27906,plain,(
% 28.54/19.10 ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))),
% 28.54/19.10 inference(skolemize,[status(sab)],[27905])).
% 28.54/19.10 tff(27907,plain,
% 28.54/19.10 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27906, 27899])).
% 28.54/19.10 tff(27908,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB95, 0)) | v147(constB95) | (~v88(constB95, 2)) | v88(constB95, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB95, 0)) | v147(constB95) | (~v88(constB95, 2)) | v88(constB95, 1))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27909,plain,
% 28.54/19.10 (((~v88(constB95, 2)) | v88(constB95, 1) | (~v88(constB95, 0)) | v147(constB95)) <=> ((~v88(constB95, 0)) | v147(constB95) | (~v88(constB95, 2)) | v88(constB95, 1))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27910,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB95, 2)) | v88(constB95, 1) | (~v88(constB95, 0)) | v147(constB95))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB95, 0)) | v147(constB95) | (~v88(constB95, 2)) | v88(constB95, 1)))),
% 28.54/19.10 inference(monotonicity,[status(thm)],[27909])).
% 28.54/19.10 tff(27911,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB95, 2)) | v88(constB95, 1) | (~v88(constB95, 0)) | v147(constB95))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB95, 0)) | v147(constB95) | (~v88(constB95, 2)) | v88(constB95, 1))),
% 28.54/19.10 inference(transitivity,[status(thm)],[27910, 27908])).
% 28.54/19.10 tff(27912,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB95, 2)) | v88(constB95, 1) | (~v88(constB95, 0)) | v147(constB95))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27913,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB95, 0)) | v147(constB95) | (~v88(constB95, 2)) | v88(constB95, 1)),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27912, 27911])).
% 28.54/19.10 tff(27914,plain,
% 28.54/19.10 (v147(constB95)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27913, 27907, 27878, 27863, 27897])).
% 28.54/19.10 tff(27915,plain,
% 28.54/19.10 (^[VarCurr: state_type] : refl(((~v147(VarCurr)) | v145(VarCurr)) <=> ((~v147(VarCurr)) | v145(VarCurr)))),
% 28.54/19.10 inference(bind,[status(th)],[])).
% 28.54/19.10 tff(27916,plain,
% 28.54/19.10 (![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr)) <=> ![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))),
% 28.54/19.10 inference(quant_intro,[status(thm)],[27915])).
% 28.54/19.10 tff(27917,plain,
% 28.54/19.10 (![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr)) <=> ![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27918,axiom,(![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_32_1_1')).
% 28.54/19.10 tff(27919,plain,
% 28.54/19.10 (![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27918, 27917])).
% 28.54/19.10 tff(27920,plain,(
% 28.54/19.10 ![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))),
% 28.54/19.10 inference(skolemize,[status(sab)],[27919])).
% 28.54/19.10 tff(27921,plain,
% 28.54/19.10 (![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27920, 27916])).
% 28.54/19.10 tff(27922,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB95)) | v145(constB95))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB95)) | v145(constB95))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27923,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB95)) | v145(constB95))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27924,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB95)) | v145(constB95)),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27923, 27922])).
% 28.54/19.10 tff(27925,plain,
% 28.54/19.10 (v145(constB95)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27924, 27921, 27914])).
% 28.54/19.10 tff(27926,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB95) | (~v145(constB95)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB95) | (~v145(constB95)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27927,plain,
% 28.54/19.10 (((~v145(constB95)) | v164(constB95)) <=> (v164(constB95) | (~v145(constB95)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27928,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB95)) | v164(constB95))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB95) | (~v145(constB95))))),
% 28.54/19.10 inference(monotonicity,[status(thm)],[27927])).
% 28.54/19.10 tff(27929,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB95)) | v164(constB95))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB95) | (~v145(constB95)))),
% 28.54/19.10 inference(transitivity,[status(thm)],[27928, 27926])).
% 28.54/19.10 tff(27930,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB95)) | v164(constB95))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27931,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB95) | (~v145(constB95))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27930, 27929])).
% 28.54/19.10 tff(27932,plain,
% 28.54/19.10 (v164(constB95)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27931, 27760, 27925])).
% 28.54/19.10 tff(27933,plain,
% 28.54/19.10 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB95)) | v168(constB95) | (~v164(constB95)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB95)) | v168(constB95) | (~v164(constB95)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27934,plain,
% 28.54/19.10 (((~v164(constB95)) | v168(constB95) | (~v161(constB95))) <=> ((~v161(constB95)) | v168(constB95) | (~v164(constB95)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27935,plain,
% 28.54/19.10 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB95)) | v168(constB95) | (~v161(constB95)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB95)) | v168(constB95) | (~v164(constB95))))),
% 28.54/19.10 inference(monotonicity,[status(thm)],[27934])).
% 28.54/19.10 tff(27936,plain,
% 28.54/19.10 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB95)) | v168(constB95) | (~v161(constB95)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB95)) | v168(constB95) | (~v164(constB95)))),
% 28.54/19.10 inference(transitivity,[status(thm)],[27935, 27933])).
% 28.54/19.10 tff(27937,plain,
% 28.54/19.10 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB95)) | v168(constB95) | (~v161(constB95)))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27938,plain,
% 28.54/19.10 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB95)) | v168(constB95) | (~v164(constB95))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27937, 27936])).
% 28.54/19.10 tff(27939,plain,
% 28.54/19.10 (~v161(constB95)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27938, 27156, 27932, 27893])).
% 28.54/19.10 tff(27940,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB95) | (~v187(constB95)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB95) | (~v187(constB95)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27941,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB95) | (~v187(constB95)))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27942,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB95) | (~v187(constB95))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27941, 27940])).
% 28.54/19.10 tff(27943,plain,
% 28.54/19.10 (~v187(constB95)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27942, 27174, 27939])).
% 28.54/19.10 tff(27944,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB95) | (~v185(constB95)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB95) | (~v185(constB95)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27945,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB95) | (~v185(constB95)))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27946,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB95) | (~v185(constB95))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27945, 27944])).
% 28.54/19.10 tff(27947,plain,
% 28.54/19.10 (~v185(constB95)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27946, 27188, 27943])).
% 28.54/19.10 tff(27948,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB93, 2)) | v88(constB93, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB93, 2)) | v88(constB93, 2))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27949,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB93, 2)) | v88(constB93, 2))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27950,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB93, 2)) | v88(constB93, 2)),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27949, 27948])).
% 28.54/19.10 tff(27951,plain,
% 28.54/19.10 (v88(constB93, 2)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27950, 27680, 12225])).
% 28.54/19.10 tff(27952,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB93)) | (~v88(constB93, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB93)) | (~v88(constB93, 2)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27953,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB93)) | (~v88(constB93, 2)))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27954,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB93)) | (~v88(constB93, 2))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27953, 27952])).
% 28.54/19.10 tff(27955,plain,
% 28.54/19.10 (~v139(constB93)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27954, 27691, 27951])).
% 28.54/19.10 tff(27956,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB93)) | (~v88(constB93, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB93)) | (~v88(constB93, 2)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27957,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB93)) | (~v88(constB93, 2)))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27958,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB93)) | (~v88(constB93, 2))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27957, 27956])).
% 28.54/19.10 tff(27959,plain,
% 28.54/19.10 (~v140(constB93)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27958, 27702, 27951])).
% 28.54/19.10 tff(27960,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB93) | v140(constB93) | (~v168(constB93)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB93) | v140(constB93) | (~v168(constB93)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27961,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB93) | v140(constB93) | (~v168(constB93)))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27962,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB93) | v140(constB93) | (~v168(constB93))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27961, 27960])).
% 28.54/19.10 tff(27963,plain,
% 28.54/19.10 (~v168(constB93)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27962, 27142, 27959, 27955])).
% 28.54/19.10 tff(27964,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB93, 1)) | v90(constB93, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB93, 1)) | v90(constB93, 1))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27965,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB93, 1)) | v90(constB93, 1))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27966,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB93, 1)) | v90(constB93, 1)),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27965, 27964])).
% 28.54/19.10 tff(27967,plain,
% 28.54/19.10 (~v88(constB93, 1)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27966, 27717, 12259])).
% 28.54/19.10 tff(27968,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB93, 0)) | v90(constB93, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB93, 0)) | v90(constB93, 0))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27969,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB93, 0)) | v90(constB93, 0))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27970,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB93, 0)) | v90(constB93, 0)),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27969, 27968])).
% 28.54/19.10 tff(27971,plain,
% 28.54/19.10 (~v88(constB93, 0)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27970, 26990, 12293])).
% 28.54/19.10 tff(27972,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB93, 0) | v88(constB93, 1) | (~v88(constB93, 2)) | v146(constB93))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB93, 0) | v88(constB93, 1) | (~v88(constB93, 2)) | v146(constB93))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27973,plain,
% 28.54/19.10 (((~v88(constB93, 2)) | v88(constB93, 1) | v88(constB93, 0) | v146(constB93)) <=> (v88(constB93, 0) | v88(constB93, 1) | (~v88(constB93, 2)) | v146(constB93))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27974,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB93, 2)) | v88(constB93, 1) | v88(constB93, 0) | v146(constB93))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB93, 0) | v88(constB93, 1) | (~v88(constB93, 2)) | v146(constB93)))),
% 28.54/19.10 inference(monotonicity,[status(thm)],[27973])).
% 28.54/19.10 tff(27975,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB93, 2)) | v88(constB93, 1) | v88(constB93, 0) | v146(constB93))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB93, 0) | v88(constB93, 1) | (~v88(constB93, 2)) | v146(constB93))),
% 28.54/19.10 inference(transitivity,[status(thm)],[27974, 27972])).
% 28.54/19.10 tff(27976,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB93, 2)) | v88(constB93, 1) | v88(constB93, 0) | v146(constB93))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27977,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB93, 0) | v88(constB93, 1) | (~v88(constB93, 2)) | v146(constB93)),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27976, 27975])).
% 28.54/19.10 tff(27978,plain,
% 28.54/19.10 (v146(constB93)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27977, 27735, 27951, 27971, 27967])).
% 28.54/19.10 tff(27979,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB93)) | v145(constB93))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB93)) | v145(constB93))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27980,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB93)) | v145(constB93))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27981,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB93)) | v145(constB93)),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27980, 27979])).
% 28.54/19.10 tff(27982,plain,
% 28.54/19.10 (v145(constB93)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27981, 27749, 27978])).
% 28.54/19.10 tff(27983,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB93) | (~v145(constB93)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB93) | (~v145(constB93)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27984,plain,
% 28.54/19.10 (((~v145(constB93)) | v164(constB93)) <=> (v164(constB93) | (~v145(constB93)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27985,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB93)) | v164(constB93))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB93) | (~v145(constB93))))),
% 28.54/19.10 inference(monotonicity,[status(thm)],[27984])).
% 28.54/19.10 tff(27986,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB93)) | v164(constB93))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB93) | (~v145(constB93)))),
% 28.54/19.10 inference(transitivity,[status(thm)],[27985, 27983])).
% 28.54/19.10 tff(27987,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB93)) | v164(constB93))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27988,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB93) | (~v145(constB93))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27987, 27986])).
% 28.54/19.10 tff(27989,plain,
% 28.54/19.10 (v164(constB93)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27988, 27760, 27982])).
% 28.54/19.10 tff(27990,plain,
% 28.54/19.10 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB93)) | (~v164(constB93)) | v168(constB93))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB93)) | (~v164(constB93)) | v168(constB93))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27991,plain,
% 28.54/19.10 (((~v164(constB93)) | v168(constB93) | (~v161(constB93))) <=> ((~v161(constB93)) | (~v164(constB93)) | v168(constB93))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27992,plain,
% 28.54/19.10 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB93)) | v168(constB93) | (~v161(constB93)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB93)) | (~v164(constB93)) | v168(constB93)))),
% 28.54/19.10 inference(monotonicity,[status(thm)],[27991])).
% 28.54/19.10 tff(27993,plain,
% 28.54/19.10 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB93)) | v168(constB93) | (~v161(constB93)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB93)) | (~v164(constB93)) | v168(constB93))),
% 28.54/19.10 inference(transitivity,[status(thm)],[27992, 27990])).
% 28.54/19.10 tff(27994,plain,
% 28.54/19.10 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB93)) | v168(constB93) | (~v161(constB93)))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27995,plain,
% 28.54/19.10 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB93)) | (~v164(constB93)) | v168(constB93)),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27994, 27993])).
% 28.54/19.10 tff(27996,plain,
% 28.54/19.10 (~v161(constB93)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27995, 27156, 27989, 27963])).
% 28.54/19.10 tff(27997,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB93) | (~v187(constB93)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB93) | (~v187(constB93)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(27998,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB93) | (~v187(constB93)))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(27999,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB93) | (~v187(constB93))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[27998, 27997])).
% 28.54/19.10 tff(28000,plain,
% 28.54/19.10 (~v187(constB93)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[27999, 27174, 27996])).
% 28.54/19.10 tff(28001,plain,
% 28.54/19.10 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB93) | (~v185(constB93)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB93) | (~v185(constB93)))),
% 28.54/19.10 inference(rewrite,[status(thm)],[])).
% 28.54/19.10 tff(28002,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB93) | (~v185(constB93)))),
% 28.54/19.10 inference(quant_inst,[status(thm)],[])).
% 28.54/19.10 tff(28003,plain,
% 28.54/19.10 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB93) | (~v185(constB93))),
% 28.54/19.10 inference(modus_ponens,[status(thm)],[28002, 28001])).
% 28.54/19.10 tff(28004,plain,
% 28.54/19.10 (~v185(constB93)),
% 28.54/19.10 inference(unit_resolution,[status(thm)],[28003, 27188, 28000])).
% 28.54/19.11 tff(28005,assumption,(v18(constB94)), introduced(assumption)).
% 28.54/19.11 tff(28006,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB94))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28007,plain,
% 28.54/19.11 ($false),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28006, 27200, 28005])).
% 28.54/19.11 tff(28008,plain,(~v18(constB94)), inference(lemma,lemma(discharge,[]))).
% 28.54/19.11 tff(28009,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB94) | (~v1(constB94)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB94) | (~v1(constB94)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28010,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB94) | (~v1(constB94)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28011,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB94) | (~v1(constB94))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28010, 28009])).
% 28.54/19.11 tff(28012,plain,
% 28.54/19.11 (v22(constB94)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28011, 27216, 12357])).
% 28.54/19.11 tff(28013,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB94) | (~v22(constB94)) | (~v19(constB94)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB94) | (~v22(constB94)) | (~v19(constB94)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28014,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB94) | (~v22(constB94)) | (~v19(constB94)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28015,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB94) | (~v22(constB94)) | (~v19(constB94))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28014, 28013])).
% 28.54/19.11 tff(28016,plain,
% 28.54/19.11 (v18(constB94) | (~v19(constB94))),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28015, 27230, 28012])).
% 28.54/19.11 tff(28017,plain,
% 28.54/19.11 (~v19(constB94)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28016, 28008])).
% 28.54/19.11 tff(28018,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB94) | v19(constB94))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB94) | v19(constB94))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28019,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB94) | v19(constB94))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28020,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB94) | v19(constB94)),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28019, 28018])).
% 28.54/19.11 tff(28021,plain,
% 28.54/19.11 (v13(constB94)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28020, 27242, 28017])).
% 28.54/19.11 tff(28022,plain,
% 28.54/19.11 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB93) | (~v13(constB94)) | (~nextState(constB93, constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB93) | (~v13(constB94)) | (~nextState(constB93, constB94)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28023,plain,
% 28.54/19.11 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB93) | (~v13(constB94)) | (~nextState(constB93, constB94)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28024,plain,
% 28.54/19.11 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB93) | (~v13(constB94)) | (~nextState(constB93, constB94))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28023, 28022])).
% 28.54/19.11 tff(28025,plain,
% 28.54/19.11 (v9(constB93) | (~v13(constB94))),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28024, 27259, 12337])).
% 28.54/19.11 tff(28026,plain,
% 28.54/19.11 (v9(constB93)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28025, 28021])).
% 28.54/19.11 tff(28027,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB93) | (~v9(constB93)) | v184(constB93))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB93) | (~v9(constB93)) | v184(constB93))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28028,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB93) | (~v9(constB93)) | v184(constB93))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28029,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB93) | (~v9(constB93)) | v184(constB93)),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28028, 28027])).
% 28.54/19.11 tff(28030,plain,
% 28.54/19.11 ((~v9(constB93)) | v184(constB93)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28029, 27274, 12201])).
% 28.54/19.11 tff(28031,plain,
% 28.54/19.11 (v184(constB93)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28030, 28026])).
% 28.54/19.11 tff(28032,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB93) | (~v184(constB93)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB93) | (~v184(constB93)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28033,plain,
% 28.54/19.11 (((~v184(constB93)) | v183(constB93)) <=> (v183(constB93) | (~v184(constB93)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28034,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB93)) | v183(constB93))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB93) | (~v184(constB93))))),
% 28.54/19.11 inference(monotonicity,[status(thm)],[28033])).
% 28.54/19.11 tff(28035,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB93)) | v183(constB93))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB93) | (~v184(constB93)))),
% 28.54/19.11 inference(transitivity,[status(thm)],[28034, 28032])).
% 28.54/19.11 tff(28036,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB93)) | v183(constB93))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28037,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB93) | (~v184(constB93))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28036, 28035])).
% 28.54/19.11 tff(28038,plain,
% 28.54/19.11 (v183(constB93)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28037, 27286, 28031])).
% 28.54/19.11 tff(28039,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB93)) | (~v183(constB93)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB93)) | (~v183(constB93)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28040,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB93)) | (~v183(constB93)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28041,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB93)) | (~v183(constB93))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28040, 28039])).
% 28.54/19.11 tff(28042,plain,
% 28.54/19.11 (~v181(constB93)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28041, 27300, 28038])).
% 28.54/19.11 tff(28043,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB93) | v185(constB93) | (~v178(constB93)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB93) | v185(constB93) | (~v178(constB93)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28044,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB93) | v185(constB93) | (~v178(constB93)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28045,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB93) | v185(constB93) | (~v178(constB93))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28044, 28043])).
% 28.54/19.11 tff(28046,plain,
% 28.54/19.11 (v185(constB93) | (~v178(constB93))),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28045, 27314, 28042])).
% 28.54/19.11 tff(28047,plain,
% 28.54/19.11 (~v178(constB93)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28046, 28004])).
% 28.54/19.11 tff(28048,plain,
% 28.54/19.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB93, constB94)) | v178(constB93) | (~v180(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB93, constB94)) | v178(constB93) | (~v180(constB94)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28049,plain,
% 28.54/19.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB93, constB94)) | v178(constB93) | (~v180(constB94)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28050,plain,
% 28.54/19.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB93, constB94)) | v178(constB93) | (~v180(constB94))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28049, 28048])).
% 28.54/19.11 tff(28051,plain,
% 28.54/19.11 (v178(constB93) | (~v180(constB94))),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28050, 27329, 12337])).
% 28.54/19.11 tff(28052,plain,
% 28.54/19.11 (~v180(constB94)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28051, 28047])).
% 28.54/19.11 tff(28053,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB94) | (~v181(constB94)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB94) | (~v181(constB94)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28054,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB94) | (~v181(constB94)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28055,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB94) | (~v181(constB94))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28054, 28053])).
% 28.54/19.11 tff(28056,plain,
% 28.54/19.11 (~v181(constB94)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28055, 27344, 28052])).
% 28.54/19.11 tff(28057,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB94)) | (~v184(constB94)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB94)) | (~v184(constB94)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28058,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB94)) | (~v184(constB94)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28059,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB94)) | (~v184(constB94))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28058, 28057])).
% 28.54/19.11 tff(28060,plain,
% 28.54/19.11 (~v184(constB94)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28059, 59, 12357])).
% 28.54/19.11 tff(28061,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB94) | (~v187(constB94)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB94) | (~v187(constB94)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28062,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB94) | (~v187(constB94)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28063,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB94) | (~v187(constB94))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28062, 28061])).
% 28.54/19.11 tff(28064,plain,
% 28.54/19.11 (~v187(constB94)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28063, 27362, 28060])).
% 28.54/19.11 tff(28065,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB94) | (~v185(constB94)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB94) | (~v185(constB94)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28066,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB94) | (~v185(constB94)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28067,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB94) | (~v185(constB94))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28066, 28065])).
% 28.54/19.11 tff(28068,plain,
% 28.54/19.11 (~v185(constB94)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28067, 27188, 28064])).
% 28.54/19.11 tff(28069,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB94) | v185(constB94) | (~v178(constB94)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB94) | v185(constB94) | (~v178(constB94)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28070,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB94) | v185(constB94) | (~v178(constB94)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28071,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB94) | v185(constB94) | (~v178(constB94))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28070, 28069])).
% 28.54/19.11 tff(28072,plain,
% 28.54/19.11 (v181(constB94) | (~v178(constB94))),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28071, 27314, 28068])).
% 28.54/19.11 tff(28073,plain,
% 28.54/19.11 (~v178(constB94)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28072, 28056])).
% 28.54/19.11 tff(28074,plain,
% 28.54/19.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB94, constB95)) | v178(constB94) | (~v180(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB94, constB95)) | v178(constB94) | (~v180(constB95)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28075,plain,
% 28.54/19.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB94, constB95)) | v178(constB94) | (~v180(constB95)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28076,plain,
% 28.54/19.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB94, constB95)) | v178(constB94) | (~v180(constB95))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28075, 28074])).
% 28.54/19.11 tff(28077,plain,
% 28.54/19.11 (v178(constB94) | (~v180(constB95))),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28076, 27329, 12399])).
% 28.54/19.11 tff(28078,plain,
% 28.54/19.11 (~v180(constB95)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28077, 28073])).
% 28.54/19.11 tff(28079,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB95) | (~v181(constB95)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB95) | (~v181(constB95)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28080,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB95) | (~v181(constB95)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28081,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB95) | (~v181(constB95))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28080, 28079])).
% 28.54/19.11 tff(28082,plain,
% 28.54/19.11 (~v181(constB95)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28081, 27344, 28078])).
% 28.54/19.11 tff(28083,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB95) | v185(constB95) | (~v178(constB95)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB95) | v185(constB95) | (~v178(constB95)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28084,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB95) | v185(constB95) | (~v178(constB95)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28085,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB95) | v185(constB95) | (~v178(constB95))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28084, 28083])).
% 28.54/19.11 tff(28086,plain,
% 28.54/19.11 (v185(constB95) | (~v178(constB95))),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28085, 27314, 28082])).
% 28.54/19.11 tff(28087,plain,
% 28.54/19.11 (~v178(constB95)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28086, 27947])).
% 28.54/19.11 tff(28088,plain,
% 28.54/19.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB95, constB96)) | v178(constB95) | (~v180(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB95, constB96)) | v178(constB95) | (~v180(constB96)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28089,plain,
% 28.54/19.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB95, constB96)) | v178(constB95) | (~v180(constB96)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28090,plain,
% 28.54/19.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB95, constB96)) | v178(constB95) | (~v180(constB96))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28089, 28088])).
% 28.54/19.11 tff(28091,plain,
% 28.54/19.11 (v178(constB95) | (~v180(constB96))),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28090, 27329, 12526])).
% 28.54/19.11 tff(28092,plain,
% 28.54/19.11 (~v180(constB96)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28091, 28087])).
% 28.54/19.11 tff(28093,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB96) | (~v181(constB96)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB96) | (~v181(constB96)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28094,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB96) | (~v181(constB96)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28095,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB96) | (~v181(constB96))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28094, 28093])).
% 28.54/19.11 tff(28096,plain,
% 28.54/19.11 (~v181(constB96)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28095, 27344, 28092])).
% 28.54/19.11 tff(28097,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB96)) | (~v184(constB96)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB96)) | (~v184(constB96)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28098,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB96)) | (~v184(constB96)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28099,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB96)) | (~v184(constB96))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28098, 28097])).
% 28.54/19.11 tff(28100,plain,
% 28.54/19.11 (~v184(constB96)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28099, 59, 12546])).
% 28.54/19.11 tff(28101,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB96) | (~v187(constB96)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB96) | (~v187(constB96)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28102,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB96) | (~v187(constB96)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28103,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB96) | (~v187(constB96))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28102, 28101])).
% 28.54/19.11 tff(28104,plain,
% 28.54/19.11 (~v187(constB96)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28103, 27362, 28100])).
% 28.54/19.11 tff(28105,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB96) | (~v185(constB96)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB96) | (~v185(constB96)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28106,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB96) | (~v185(constB96)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28107,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB96) | (~v185(constB96))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28106, 28105])).
% 28.54/19.11 tff(28108,plain,
% 28.54/19.11 (~v185(constB96)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28107, 27188, 28104])).
% 28.54/19.11 tff(28109,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB96) | v185(constB96) | (~v178(constB96)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB96) | v185(constB96) | (~v178(constB96)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28110,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB96) | v185(constB96) | (~v178(constB96)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28111,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB96) | v185(constB96) | (~v178(constB96))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28110, 28109])).
% 28.54/19.11 tff(28112,plain,
% 28.54/19.11 (v181(constB96) | (~v178(constB96))),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28111, 27314, 28108])).
% 28.54/19.11 tff(28113,plain,
% 28.54/19.11 (~v178(constB96)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28112, 28096])).
% 28.54/19.11 tff(28114,plain,
% 28.54/19.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB96, constB97)) | v178(constB96) | (~v180(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB96, constB97)) | v178(constB96) | (~v180(constB97)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28115,plain,
% 28.54/19.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB96, constB97)) | v178(constB96) | (~v180(constB97)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28116,plain,
% 28.54/19.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB96, constB97)) | v178(constB96) | (~v180(constB97))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28115, 28114])).
% 28.54/19.11 tff(28117,plain,
% 28.54/19.11 (v178(constB96) | (~v180(constB97))),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28116, 27329, 12592])).
% 28.54/19.11 tff(28118,plain,
% 28.54/19.11 (~v180(constB97)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28117, 28113])).
% 28.54/19.11 tff(28119,plain,
% 28.54/19.11 ($false),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28118, 27859])).
% 28.54/19.11 tff(28120,plain,(~(constB97 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.54/19.11 tff(28121,assumption,(constB162 = sK_VarCurr), introduced(assumption)).
% 28.54/19.11 tff(28122,plain,
% 28.54/19.11 (v1(constB162) <=> v1(sK_VarCurr)),
% 28.54/19.11 inference(monotonicity,[status(thm)],[28121])).
% 28.54/19.11 tff(28123,plain,
% 28.54/19.11 (v1(sK_VarCurr) <=> v1(constB162)),
% 28.54/19.11 inference(symmetry,[status(thm)],[28122])).
% 28.54/19.11 tff(28124,plain,
% 28.54/19.11 ((~v1(sK_VarCurr)) <=> (~v1(constB162))),
% 28.54/19.11 inference(monotonicity,[status(thm)],[28123])).
% 28.54/19.11 tff(28125,plain,
% 28.54/19.11 (~v1(constB162)),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[63, 28124])).
% 28.54/19.11 tff(28126,plain,
% 28.54/19.11 ($false),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[23110, 28125])).
% 28.54/19.11 tff(28127,plain,(~(constB162 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.54/19.11 tff(28128,assumption,(constB186 = sK_VarCurr), introduced(assumption)).
% 28.54/19.11 tff(28129,plain,
% 28.54/19.11 (v1(constB186) <=> v1(sK_VarCurr)),
% 28.54/19.11 inference(monotonicity,[status(thm)],[28128])).
% 28.54/19.11 tff(28130,plain,
% 28.54/19.11 (v1(sK_VarCurr) <=> v1(constB186)),
% 28.54/19.11 inference(symmetry,[status(thm)],[28129])).
% 28.54/19.11 tff(28131,plain,
% 28.54/19.11 ((~v1(sK_VarCurr)) <=> (~v1(constB186))),
% 28.54/19.11 inference(monotonicity,[status(thm)],[28130])).
% 28.54/19.11 tff(28132,plain,
% 28.54/19.11 (~v1(constB186)),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[63, 28131])).
% 28.54/19.11 tff(28133,plain,
% 28.54/19.11 ($false),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[25830, 28132])).
% 28.54/19.11 tff(28134,plain,(~(constB186 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.54/19.11 tff(28135,assumption,(constB78 = sK_VarCurr), introduced(assumption)).
% 28.54/19.11 tff(28136,plain,
% 28.54/19.11 (v1(constB78) <=> v1(sK_VarCurr)),
% 28.54/19.11 inference(monotonicity,[status(thm)],[28135])).
% 28.54/19.11 tff(28137,plain,
% 28.54/19.11 (v1(sK_VarCurr) <=> v1(constB78)),
% 28.54/19.11 inference(symmetry,[status(thm)],[28136])).
% 28.54/19.11 tff(28138,plain,
% 28.54/19.11 ((~v1(sK_VarCurr)) <=> (~v1(constB78))),
% 28.54/19.11 inference(monotonicity,[status(thm)],[28137])).
% 28.54/19.11 tff(28139,plain,
% 28.54/19.11 (~v1(constB78)),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[63, 28138])).
% 28.54/19.11 tff(28140,plain,
% 28.54/19.11 ($false),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[10392, 28139])).
% 28.54/19.11 tff(28141,plain,(~(constB78 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.54/19.11 tff(28142,assumption,(constB31 = sK_VarCurr), introduced(assumption)).
% 28.54/19.11 tff(28143,plain,
% 28.54/19.11 (v180(constB31) <=> v180(sK_VarCurr)),
% 28.54/19.11 inference(monotonicity,[status(thm)],[28142])).
% 28.54/19.11 tff(28144,plain,
% 28.54/19.11 (v180(sK_VarCurr) <=> v180(constB31)),
% 28.54/19.11 inference(symmetry,[status(thm)],[28143])).
% 28.54/19.11 tff(28145,plain,
% 28.54/19.11 (v180(constB31)),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[86, 28144])).
% 28.54/19.11 tff(28146,assumption,(v18(constB30)), introduced(assumption)).
% 28.54/19.11 tff(28147,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB30))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28148,plain,
% 28.54/19.11 ($false),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28147, 27200, 28146])).
% 28.54/19.11 tff(28149,plain,(~v18(constB30)), inference(lemma,lemma(discharge,[]))).
% 28.54/19.11 tff(28150,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB30) | (~v1(constB30)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB30) | (~v1(constB30)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28151,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB30) | (~v1(constB30)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28152,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB30) | (~v1(constB30))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28151, 28150])).
% 28.54/19.11 tff(28153,plain,
% 28.54/19.11 (v22(constB30)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28152, 27216, 4137])).
% 28.54/19.11 tff(28154,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB30) | (~v22(constB30)) | (~v19(constB30)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB30) | (~v22(constB30)) | (~v19(constB30)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28155,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB30) | (~v22(constB30)) | (~v19(constB30)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28156,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB30) | (~v22(constB30)) | (~v19(constB30))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28155, 28154])).
% 28.54/19.11 tff(28157,plain,
% 28.54/19.11 (v18(constB30) | (~v19(constB30))),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28156, 27230, 28153])).
% 28.54/19.11 tff(28158,plain,
% 28.54/19.11 (~v19(constB30)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28157, 28149])).
% 28.54/19.11 tff(28159,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB30) | v19(constB30))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB30) | v19(constB30))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28160,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB30) | v19(constB30))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28161,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB30) | v19(constB30)),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28160, 28159])).
% 28.54/19.11 tff(28162,plain,
% 28.54/19.11 (v13(constB30)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28161, 27242, 28158])).
% 28.54/19.11 tff(28163,plain,
% 28.54/19.11 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB29) | (~v13(constB30)) | (~nextState(constB29, constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB29) | (~v13(constB30)) | (~nextState(constB29, constB30)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28164,plain,
% 28.54/19.11 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB29) | (~v13(constB30)) | (~nextState(constB29, constB30)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28165,plain,
% 28.54/19.11 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB29) | (~v13(constB30)) | (~nextState(constB29, constB30))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28164, 28163])).
% 28.54/19.11 tff(28166,plain,
% 28.54/19.11 (v9(constB29) | (~v13(constB30))),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28165, 27259, 4117])).
% 28.54/19.11 tff(28167,plain,
% 28.54/19.11 (v9(constB29)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28166, 28162])).
% 28.54/19.11 tff(28168,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB29) | (~v9(constB29)) | v184(constB29))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB29) | (~v9(constB29)) | v184(constB29))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28169,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB29) | (~v9(constB29)) | v184(constB29))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28170,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB29) | (~v9(constB29)) | v184(constB29)),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28169, 28168])).
% 28.54/19.11 tff(28171,plain,
% 28.54/19.11 ((~v9(constB29)) | v184(constB29)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28170, 27274, 3726])).
% 28.54/19.11 tff(28172,plain,
% 28.54/19.11 (v184(constB29)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28171, 28167])).
% 28.54/19.11 tff(28173,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB29) | (~v184(constB29)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB29) | (~v184(constB29)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28174,plain,
% 28.54/19.11 (((~v184(constB29)) | v183(constB29)) <=> (v183(constB29) | (~v184(constB29)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28175,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB29)) | v183(constB29))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB29) | (~v184(constB29))))),
% 28.54/19.11 inference(monotonicity,[status(thm)],[28174])).
% 28.54/19.11 tff(28176,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB29)) | v183(constB29))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB29) | (~v184(constB29)))),
% 28.54/19.11 inference(transitivity,[status(thm)],[28175, 28173])).
% 28.54/19.11 tff(28177,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB29)) | v183(constB29))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28178,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB29) | (~v184(constB29))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28177, 28176])).
% 28.54/19.11 tff(28179,plain,
% 28.54/19.11 (v183(constB29)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28178, 27286, 28172])).
% 28.54/19.11 tff(28180,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB29)) | (~v183(constB29)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB29)) | (~v183(constB29)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28181,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB29)) | (~v183(constB29)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28182,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB29)) | (~v183(constB29))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28181, 28180])).
% 28.54/19.11 tff(28183,plain,
% 28.54/19.11 (~v181(constB29)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28182, 27300, 28179])).
% 28.54/19.11 tff(28184,plain,
% 28.54/19.11 (~v130(constB27, 2)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[4048, 785, 3581])).
% 28.54/19.11 tff(28185,plain,
% 28.54/19.11 (~v127(constB27, 2)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[4040, 28184])).
% 28.54/19.11 tff(28186,plain,
% 28.54/19.11 (~v129(constB28, 2)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[4032, 28185])).
% 28.54/19.11 tff(28187,plain,
% 28.54/19.11 ((~v90(constB28, 2)) | (~v100(constB28))),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[4026, 488, 28186])).
% 28.54/19.11 tff(28188,plain,
% 28.54/19.11 (~v90(constB28, 2)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28187, 3673])).
% 28.54/19.11 tff(28189,plain,
% 28.54/19.11 (~v90(constB29, 2)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[3778, 28188])).
% 28.54/19.11 tff(28190,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB29, 2)) | v90(constB29, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB29, 2)) | v90(constB29, 2))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28191,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB29, 2)) | v90(constB29, 2))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28192,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB29, 2)) | v90(constB29, 2)),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28191, 28190])).
% 28.54/19.11 tff(28193,plain,
% 28.54/19.11 (~v88(constB29, 2)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28192, 27032, 28189])).
% 28.54/19.11 tff(28194,plain,
% 28.54/19.11 (~v90(constB29, 0)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[3749, 3698])).
% 28.54/19.11 tff(28195,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB29, 0)) | v90(constB29, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB29, 0)) | v90(constB29, 0))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28196,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB29, 0)) | v90(constB29, 0))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28197,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB29, 0)) | v90(constB29, 0)),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28196, 28195])).
% 28.54/19.11 tff(28198,plain,
% 28.54/19.11 (~v88(constB29, 0)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28197, 26990, 28194])).
% 28.54/19.11 tff(28199,plain,
% 28.54/19.11 (v90(constB29, 1)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[3830, 3720])).
% 28.54/19.11 tff(28200,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB29, 1)) | v88(constB29, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB29, 1)) | v88(constB29, 1))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28201,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB29, 1)) | v88(constB29, 1))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28202,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB29, 1)) | v88(constB29, 1)),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28201, 28200])).
% 28.54/19.11 tff(28203,plain,
% 28.54/19.11 (v88(constB29, 1)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28202, 26945, 28199])).
% 28.54/19.11 tff(28204,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB29, 2) | (~v88(constB29, 1)) | v88(constB29, 0) | v143(constB29))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB29, 2) | (~v88(constB29, 1)) | v88(constB29, 0) | v143(constB29))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28205,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB29, 2) | (~v88(constB29, 1)) | v88(constB29, 0) | v143(constB29))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28206,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB29, 2) | (~v88(constB29, 1)) | v88(constB29, 0) | v143(constB29)),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28205, 28204])).
% 28.54/19.11 tff(28207,plain,
% 28.54/19.11 (v143(constB29)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28206, 27047, 28203, 28198, 28193])).
% 28.54/19.11 tff(28208,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB29) | (~v143(constB29)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB29) | (~v143(constB29)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28209,plain,
% 28.54/19.11 (((~v143(constB29)) | v142(constB29)) <=> (v142(constB29) | (~v143(constB29)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28210,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB29)) | v142(constB29))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB29) | (~v143(constB29))))),
% 28.54/19.11 inference(monotonicity,[status(thm)],[28209])).
% 28.54/19.11 tff(28211,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB29)) | v142(constB29))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB29) | (~v143(constB29)))),
% 28.54/19.11 inference(transitivity,[status(thm)],[28210, 28208])).
% 28.54/19.11 tff(28212,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB29)) | v142(constB29))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28213,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB29) | (~v143(constB29))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28212, 28211])).
% 28.54/19.11 tff(28214,plain,
% 28.54/19.11 (v142(constB29)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28213, 27064, 28207])).
% 28.54/19.11 tff(28215,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB29)) | v165(constB29))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB29)) | v165(constB29))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28216,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB29)) | v165(constB29))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28217,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB29)) | v165(constB29)),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28216, 28215])).
% 28.54/19.11 tff(28218,plain,
% 28.54/19.11 (v165(constB29)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28217, 27075, 28214])).
% 28.54/19.11 tff(28219,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB29) | (~v165(constB29)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB29) | (~v165(constB29)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28220,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB29) | (~v165(constB29)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28221,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB29) | (~v165(constB29))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28220, 28219])).
% 28.54/19.11 tff(28222,plain,
% 28.54/19.11 (v164(constB29)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28221, 27089, 28218])).
% 28.54/19.11 tff(28223,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB29)) | (~v88(constB29, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB29)) | (~v88(constB29, 1)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28224,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB29)) | (~v88(constB29, 1)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28225,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB29)) | (~v88(constB29, 1))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28224, 28223])).
% 28.54/19.11 tff(28226,plain,
% 28.54/19.11 (~v139(constB29)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28225, 27117, 28203])).
% 28.54/19.11 tff(28227,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB29)) | (~v88(constB29, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB29)) | (~v88(constB29, 1)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28228,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB29)) | (~v88(constB29, 1)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28229,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB29)) | (~v88(constB29, 1))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28228, 28227])).
% 28.54/19.11 tff(28230,plain,
% 28.54/19.11 (~v140(constB29)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28229, 27128, 28203])).
% 28.54/19.11 tff(28231,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB29) | v140(constB29) | (~v168(constB29)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB29) | v140(constB29) | (~v168(constB29)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28232,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB29) | v140(constB29) | (~v168(constB29)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28233,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB29) | v140(constB29) | (~v168(constB29))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28232, 28231])).
% 28.54/19.11 tff(28234,plain,
% 28.54/19.11 (~v168(constB29)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28233, 27142, 28230, 28226])).
% 28.54/19.11 tff(28235,plain,
% 28.54/19.11 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB29)) | (~v164(constB29)) | v168(constB29))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB29)) | (~v164(constB29)) | v168(constB29))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28236,plain,
% 28.54/19.11 (((~v164(constB29)) | v168(constB29) | (~v161(constB29))) <=> ((~v161(constB29)) | (~v164(constB29)) | v168(constB29))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28237,plain,
% 28.54/19.11 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB29)) | v168(constB29) | (~v161(constB29)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB29)) | (~v164(constB29)) | v168(constB29)))),
% 28.54/19.11 inference(monotonicity,[status(thm)],[28236])).
% 28.54/19.11 tff(28238,plain,
% 28.54/19.11 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB29)) | v168(constB29) | (~v161(constB29)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB29)) | (~v164(constB29)) | v168(constB29))),
% 28.54/19.11 inference(transitivity,[status(thm)],[28237, 28235])).
% 28.54/19.11 tff(28239,plain,
% 28.54/19.11 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB29)) | v168(constB29) | (~v161(constB29)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28240,plain,
% 28.54/19.11 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB29)) | (~v164(constB29)) | v168(constB29)),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28239, 28238])).
% 28.54/19.11 tff(28241,plain,
% 28.54/19.11 ((~v161(constB29)) | (~v164(constB29))),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28240, 27156, 28234])).
% 28.54/19.11 tff(28242,plain,
% 28.54/19.11 (~v161(constB29)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28241, 28222])).
% 28.54/19.11 tff(28243,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB29) | (~v187(constB29)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB29) | (~v187(constB29)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28244,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB29) | (~v187(constB29)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28245,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB29) | (~v187(constB29))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28244, 28243])).
% 28.54/19.11 tff(28246,plain,
% 28.54/19.11 (~v187(constB29)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28245, 27174, 28242])).
% 28.54/19.11 tff(28247,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB29) | (~v185(constB29)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB29) | (~v185(constB29)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28248,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB29) | (~v185(constB29)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28249,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB29) | (~v185(constB29))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28248, 28247])).
% 28.54/19.11 tff(28250,plain,
% 28.54/19.11 (~v185(constB29)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28249, 27188, 28246])).
% 28.54/19.11 tff(28251,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB29) | v185(constB29) | (~v178(constB29)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB29) | v185(constB29) | (~v178(constB29)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28252,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB29) | v185(constB29) | (~v178(constB29)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28253,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB29) | v185(constB29) | (~v178(constB29))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28252, 28251])).
% 28.54/19.11 tff(28254,plain,
% 28.54/19.11 (v181(constB29) | (~v178(constB29))),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28253, 27314, 28250])).
% 28.54/19.11 tff(28255,plain,
% 28.54/19.11 (~v178(constB29)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28254, 28183])).
% 28.54/19.11 tff(28256,plain,
% 28.54/19.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB29, constB30)) | v178(constB29) | (~v180(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB29, constB30)) | v178(constB29) | (~v180(constB30)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28257,plain,
% 28.54/19.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB29, constB30)) | v178(constB29) | (~v180(constB30)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28258,plain,
% 28.54/19.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB29, constB30)) | v178(constB29) | (~v180(constB30))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28257, 28256])).
% 28.54/19.11 tff(28259,plain,
% 28.54/19.11 (v178(constB29) | (~v180(constB30))),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28258, 27329, 4117])).
% 28.54/19.11 tff(28260,plain,
% 28.54/19.11 (~v180(constB30)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28259, 28255])).
% 28.54/19.11 tff(28261,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB30) | (~v181(constB30)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB30) | (~v181(constB30)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28262,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB30) | (~v181(constB30)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28263,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB30) | (~v181(constB30))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28262, 28261])).
% 28.54/19.11 tff(28264,plain,
% 28.54/19.11 (~v181(constB30)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28263, 27344, 28260])).
% 28.54/19.11 tff(28265,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB30)) | (~v184(constB30)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB30)) | (~v184(constB30)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28266,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB30)) | (~v184(constB30)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28267,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB30)) | (~v184(constB30))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28266, 28265])).
% 28.54/19.11 tff(28268,plain,
% 28.54/19.11 (~v184(constB30)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28267, 59, 4137])).
% 28.54/19.11 tff(28269,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB30) | (~v187(constB30)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB30) | (~v187(constB30)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28270,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB30) | (~v187(constB30)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28271,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB30) | (~v187(constB30))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28270, 28269])).
% 28.54/19.11 tff(28272,plain,
% 28.54/19.11 (~v187(constB30)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28271, 27362, 28268])).
% 28.54/19.11 tff(28273,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB30) | (~v185(constB30)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB30) | (~v185(constB30)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28274,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB30) | (~v185(constB30)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28275,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB30) | (~v185(constB30))),
% 28.54/19.11 inference(modus_ponens,[status(thm)],[28274, 28273])).
% 28.54/19.11 tff(28276,plain,
% 28.54/19.11 (~v185(constB30)),
% 28.54/19.11 inference(unit_resolution,[status(thm)],[28275, 27188, 28272])).
% 28.54/19.11 tff(28277,plain,
% 28.54/19.11 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB30) | v185(constB30) | (~v178(constB30)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB30) | v185(constB30) | (~v178(constB30)))),
% 28.54/19.11 inference(rewrite,[status(thm)],[])).
% 28.54/19.11 tff(28278,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB30) | v185(constB30) | (~v178(constB30)))),
% 28.54/19.11 inference(quant_inst,[status(thm)],[])).
% 28.54/19.11 tff(28279,plain,
% 28.54/19.11 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB30) | v185(constB30) | (~v178(constB30))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28278, 28277])).
% 28.54/19.12 tff(28280,plain,
% 28.54/19.12 (v181(constB30) | (~v178(constB30))),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28279, 27314, 28276])).
% 28.54/19.12 tff(28281,plain,
% 28.54/19.12 (~v178(constB30)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28280, 28264])).
% 28.54/19.12 tff(28282,plain,
% 28.54/19.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB30, constB31)) | v178(constB30) | (~v180(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB30, constB31)) | v178(constB30) | (~v180(constB31)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28283,plain,
% 28.54/19.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB30, constB31)) | v178(constB30) | (~v180(constB31)))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28284,plain,
% 28.54/19.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB30, constB31)) | v178(constB30) | (~v180(constB31))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28283, 28282])).
% 28.54/19.12 tff(28285,plain,
% 28.54/19.12 (v178(constB30) | (~v180(constB31))),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28284, 27329, 4181])).
% 28.54/19.12 tff(28286,plain,
% 28.54/19.12 (~v180(constB31)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28285, 28281])).
% 28.54/19.12 tff(28287,plain,
% 28.54/19.12 ($false),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28286, 28145])).
% 28.54/19.12 tff(28288,plain,(~(constB31 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.54/19.12 tff(28289,assumption,(constB85 = sK_VarCurr), introduced(assumption)).
% 28.54/19.12 tff(28290,plain,
% 28.54/19.12 (v180(constB85) <=> v180(sK_VarCurr)),
% 28.54/19.12 inference(monotonicity,[status(thm)],[28289])).
% 28.54/19.12 tff(28291,plain,
% 28.54/19.12 (v180(sK_VarCurr) <=> v180(constB85)),
% 28.54/19.12 inference(symmetry,[status(thm)],[28290])).
% 28.54/19.12 tff(28292,plain,
% 28.54/19.12 (v180(constB85)),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[86, 28291])).
% 28.54/19.12 tff(28293,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB83, 2)) | v88(constB83, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB83, 2)) | v88(constB83, 2))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28294,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB83, 2)) | v88(constB83, 2))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28295,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB83, 2)) | v88(constB83, 2)),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28294, 28293])).
% 28.54/19.12 tff(28296,plain,
% 28.54/19.12 (v88(constB83, 2)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28295, 27680, 10835])).
% 28.54/19.12 tff(28297,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB83)) | (~v88(constB83, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB83)) | (~v88(constB83, 2)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28298,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB83)) | (~v88(constB83, 2)))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28299,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB83)) | (~v88(constB83, 2))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28298, 28297])).
% 28.54/19.12 tff(28300,plain,
% 28.54/19.12 (~v140(constB83)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28299, 27702, 28296])).
% 28.54/19.12 tff(28301,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB83, 0)) | v88(constB83, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB83, 0)) | v88(constB83, 0))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28302,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB83, 0)) | v88(constB83, 0))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28303,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB83, 0)) | v88(constB83, 0)),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28302, 28301])).
% 28.54/19.12 tff(28304,plain,
% 28.54/19.12 (v88(constB83, 0)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28303, 27874, 10900])).
% 28.54/19.12 tff(28305,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB83)) | (~v88(constB83, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB83)) | (~v88(constB83, 0)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28306,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB83)) | (~v88(constB83, 0)))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28307,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB83)) | (~v88(constB83, 0))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28306, 28305])).
% 28.54/19.12 tff(28308,plain,
% 28.54/19.12 (~v139(constB83)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28307, 27885, 28304])).
% 28.54/19.12 tff(28309,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB83) | v140(constB83) | (~v168(constB83)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB83) | v140(constB83) | (~v168(constB83)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28310,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB83) | v140(constB83) | (~v168(constB83)))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28311,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB83) | v140(constB83) | (~v168(constB83))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28310, 28309])).
% 28.54/19.12 tff(28312,plain,
% 28.54/19.12 (~v168(constB83)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28311, 27142, 28308, 28300])).
% 28.54/19.12 tff(28313,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB83, 1)) | v90(constB83, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB83, 1)) | v90(constB83, 1))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28314,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB83, 1)) | v90(constB83, 1))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28315,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB83, 1)) | v90(constB83, 1)),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28314, 28313])).
% 28.54/19.12 tff(28316,plain,
% 28.54/19.12 (~v88(constB83, 1)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28315, 27717, 10869])).
% 28.54/19.12 tff(28317,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB83, 0)) | v147(constB83) | (~v88(constB83, 2)) | v88(constB83, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB83, 0)) | v147(constB83) | (~v88(constB83, 2)) | v88(constB83, 1))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28318,plain,
% 28.54/19.12 (((~v88(constB83, 2)) | v88(constB83, 1) | (~v88(constB83, 0)) | v147(constB83)) <=> ((~v88(constB83, 0)) | v147(constB83) | (~v88(constB83, 2)) | v88(constB83, 1))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28319,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB83, 2)) | v88(constB83, 1) | (~v88(constB83, 0)) | v147(constB83))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB83, 0)) | v147(constB83) | (~v88(constB83, 2)) | v88(constB83, 1)))),
% 28.54/19.12 inference(monotonicity,[status(thm)],[28318])).
% 28.54/19.12 tff(28320,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB83, 2)) | v88(constB83, 1) | (~v88(constB83, 0)) | v147(constB83))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB83, 0)) | v147(constB83) | (~v88(constB83, 2)) | v88(constB83, 1))),
% 28.54/19.12 inference(transitivity,[status(thm)],[28319, 28317])).
% 28.54/19.12 tff(28321,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB83, 2)) | v88(constB83, 1) | (~v88(constB83, 0)) | v147(constB83))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28322,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB83, 0)) | v147(constB83) | (~v88(constB83, 2)) | v88(constB83, 1)),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28321, 28320])).
% 28.54/19.12 tff(28323,plain,
% 28.54/19.12 (v147(constB83)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28322, 27907, 28304, 28296, 28316])).
% 28.54/19.12 tff(28324,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB83)) | v145(constB83))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB83)) | v145(constB83))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28325,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB83)) | v145(constB83))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28326,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB83)) | v145(constB83)),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28325, 28324])).
% 28.54/19.12 tff(28327,plain,
% 28.54/19.12 (v145(constB83)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28326, 27921, 28323])).
% 28.54/19.12 tff(28328,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB83) | (~v145(constB83)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB83) | (~v145(constB83)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28329,plain,
% 28.54/19.12 (((~v145(constB83)) | v164(constB83)) <=> (v164(constB83) | (~v145(constB83)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28330,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB83)) | v164(constB83))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB83) | (~v145(constB83))))),
% 28.54/19.12 inference(monotonicity,[status(thm)],[28329])).
% 28.54/19.12 tff(28331,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB83)) | v164(constB83))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB83) | (~v145(constB83)))),
% 28.54/19.12 inference(transitivity,[status(thm)],[28330, 28328])).
% 28.54/19.12 tff(28332,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB83)) | v164(constB83))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28333,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB83) | (~v145(constB83))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28332, 28331])).
% 28.54/19.12 tff(28334,plain,
% 28.54/19.12 (v164(constB83)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28333, 27760, 28327])).
% 28.54/19.12 tff(28335,plain,
% 28.54/19.12 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB83)) | (~v164(constB83)) | v168(constB83))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB83)) | (~v164(constB83)) | v168(constB83))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28336,plain,
% 28.54/19.12 (((~v164(constB83)) | v168(constB83) | (~v161(constB83))) <=> ((~v161(constB83)) | (~v164(constB83)) | v168(constB83))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28337,plain,
% 28.54/19.12 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB83)) | v168(constB83) | (~v161(constB83)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB83)) | (~v164(constB83)) | v168(constB83)))),
% 28.54/19.12 inference(monotonicity,[status(thm)],[28336])).
% 28.54/19.12 tff(28338,plain,
% 28.54/19.12 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB83)) | v168(constB83) | (~v161(constB83)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB83)) | (~v164(constB83)) | v168(constB83))),
% 28.54/19.12 inference(transitivity,[status(thm)],[28337, 28335])).
% 28.54/19.12 tff(28339,plain,
% 28.54/19.12 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB83)) | v168(constB83) | (~v161(constB83)))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28340,plain,
% 28.54/19.12 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB83)) | (~v164(constB83)) | v168(constB83)),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28339, 28338])).
% 28.54/19.12 tff(28341,plain,
% 28.54/19.12 (~v161(constB83)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28340, 27156, 28334, 28312])).
% 28.54/19.12 tff(28342,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB83) | (~v187(constB83)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB83) | (~v187(constB83)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28343,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB83) | (~v187(constB83)))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28344,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB83) | (~v187(constB83))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28343, 28342])).
% 28.54/19.12 tff(28345,plain,
% 28.54/19.12 (~v187(constB83)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28344, 27174, 28341])).
% 28.54/19.12 tff(28346,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB83) | (~v185(constB83)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB83) | (~v185(constB83)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28347,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB83) | (~v185(constB83)))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28348,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB83) | (~v185(constB83))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28347, 28346])).
% 28.54/19.12 tff(28349,plain,
% 28.54/19.12 (~v185(constB83)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28348, 27188, 28345])).
% 28.54/19.12 tff(28350,assumption,(v18(constB84)), introduced(assumption)).
% 28.54/19.12 tff(28351,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB84))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28352,plain,
% 28.54/19.12 ($false),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28351, 27200, 28350])).
% 28.54/19.12 tff(28353,plain,(~v18(constB84)), inference(lemma,lemma(discharge,[]))).
% 28.54/19.12 tff(28354,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB84) | (~v1(constB84)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB84) | (~v1(constB84)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28355,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB84) | (~v1(constB84)))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28356,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB84) | (~v1(constB84))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28355, 28354])).
% 28.54/19.12 tff(28357,plain,
% 28.54/19.12 (v22(constB84)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28356, 27216, 10951])).
% 28.54/19.12 tff(28358,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB84) | (~v22(constB84)) | (~v19(constB84)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB84) | (~v22(constB84)) | (~v19(constB84)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28359,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB84) | (~v22(constB84)) | (~v19(constB84)))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28360,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB84) | (~v22(constB84)) | (~v19(constB84))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28359, 28358])).
% 28.54/19.12 tff(28361,plain,
% 28.54/19.12 (v18(constB84) | (~v19(constB84))),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28360, 27230, 28357])).
% 28.54/19.12 tff(28362,plain,
% 28.54/19.12 (~v19(constB84)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28361, 28353])).
% 28.54/19.12 tff(28363,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB84) | v19(constB84))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB84) | v19(constB84))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28364,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB84) | v19(constB84))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28365,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB84) | v19(constB84)),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28364, 28363])).
% 28.54/19.12 tff(28366,plain,
% 28.54/19.12 (v13(constB84)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28365, 27242, 28362])).
% 28.54/19.12 tff(28367,plain,
% 28.54/19.12 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB83) | (~v13(constB84)) | (~nextState(constB83, constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB83) | (~v13(constB84)) | (~nextState(constB83, constB84)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28368,plain,
% 28.54/19.12 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB83) | (~v13(constB84)) | (~nextState(constB83, constB84)))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28369,plain,
% 28.54/19.12 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB83) | (~v13(constB84)) | (~nextState(constB83, constB84))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28368, 28367])).
% 28.54/19.12 tff(28370,plain,
% 28.54/19.12 (v9(constB83) | (~v13(constB84))),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28369, 27259, 10931])).
% 28.54/19.12 tff(28371,plain,
% 28.54/19.12 (v9(constB83)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28370, 28366])).
% 28.54/19.12 tff(28372,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB83) | (~v9(constB83)) | v184(constB83))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB83) | (~v9(constB83)) | v184(constB83))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28373,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB83) | (~v9(constB83)) | v184(constB83))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28374,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB83) | (~v9(constB83)) | v184(constB83)),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28373, 28372])).
% 28.54/19.12 tff(28375,plain,
% 28.54/19.12 ((~v9(constB83)) | v184(constB83)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28374, 27274, 10811])).
% 28.54/19.12 tff(28376,plain,
% 28.54/19.12 (v184(constB83)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28375, 28371])).
% 28.54/19.12 tff(28377,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB83) | (~v184(constB83)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB83) | (~v184(constB83)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28378,plain,
% 28.54/19.12 (((~v184(constB83)) | v183(constB83)) <=> (v183(constB83) | (~v184(constB83)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28379,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB83)) | v183(constB83))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB83) | (~v184(constB83))))),
% 28.54/19.12 inference(monotonicity,[status(thm)],[28378])).
% 28.54/19.12 tff(28380,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB83)) | v183(constB83))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB83) | (~v184(constB83)))),
% 28.54/19.12 inference(transitivity,[status(thm)],[28379, 28377])).
% 28.54/19.12 tff(28381,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB83)) | v183(constB83))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28382,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB83) | (~v184(constB83))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28381, 28380])).
% 28.54/19.12 tff(28383,plain,
% 28.54/19.12 (v183(constB83)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28382, 27286, 28376])).
% 28.54/19.12 tff(28384,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB83)) | (~v183(constB83)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB83)) | (~v183(constB83)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28385,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB83)) | (~v183(constB83)))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28386,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB83)) | (~v183(constB83))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28385, 28384])).
% 28.54/19.12 tff(28387,plain,
% 28.54/19.12 (~v181(constB83)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28386, 27300, 28383])).
% 28.54/19.12 tff(28388,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB83) | v185(constB83) | (~v178(constB83)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB83) | v185(constB83) | (~v178(constB83)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28389,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB83) | v185(constB83) | (~v178(constB83)))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28390,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB83) | v185(constB83) | (~v178(constB83))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28389, 28388])).
% 28.54/19.12 tff(28391,plain,
% 28.54/19.12 (v185(constB83) | (~v178(constB83))),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28390, 27314, 28387])).
% 28.54/19.12 tff(28392,plain,
% 28.54/19.12 (~v178(constB83)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28391, 28349])).
% 28.54/19.12 tff(28393,plain,
% 28.54/19.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB83, constB84)) | v178(constB83) | (~v180(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB83, constB84)) | v178(constB83) | (~v180(constB84)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28394,plain,
% 28.54/19.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB83, constB84)) | v178(constB83) | (~v180(constB84)))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28395,plain,
% 28.54/19.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB83, constB84)) | v178(constB83) | (~v180(constB84))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28394, 28393])).
% 28.54/19.12 tff(28396,plain,
% 28.54/19.12 (v178(constB83) | (~v180(constB84))),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28395, 27329, 10931])).
% 28.54/19.12 tff(28397,plain,
% 28.54/19.12 (~v180(constB84)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28396, 28392])).
% 28.54/19.12 tff(28398,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB84) | (~v181(constB84)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB84) | (~v181(constB84)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28399,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB84) | (~v181(constB84)))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28400,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB84) | (~v181(constB84))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28399, 28398])).
% 28.54/19.12 tff(28401,plain,
% 28.54/19.12 (~v181(constB84)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28400, 27344, 28397])).
% 28.54/19.12 tff(28402,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB84)) | (~v184(constB84)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB84)) | (~v184(constB84)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28403,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB84)) | (~v184(constB84)))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28404,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB84)) | (~v184(constB84))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28403, 28402])).
% 28.54/19.12 tff(28405,plain,
% 28.54/19.12 (~v184(constB84)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28404, 59, 10951])).
% 28.54/19.12 tff(28406,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB84) | (~v187(constB84)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB84) | (~v187(constB84)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28407,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB84) | (~v187(constB84)))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28408,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB84) | (~v187(constB84))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28407, 28406])).
% 28.54/19.12 tff(28409,plain,
% 28.54/19.12 (~v187(constB84)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28408, 27362, 28405])).
% 28.54/19.12 tff(28410,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB84) | (~v185(constB84)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB84) | (~v185(constB84)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28411,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB84) | (~v185(constB84)))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28412,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB84) | (~v185(constB84))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28411, 28410])).
% 28.54/19.12 tff(28413,plain,
% 28.54/19.12 (~v185(constB84)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28412, 27188, 28409])).
% 28.54/19.12 tff(28414,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB84) | v185(constB84) | (~v178(constB84)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB84) | v185(constB84) | (~v178(constB84)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28415,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB84) | v185(constB84) | (~v178(constB84)))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28416,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB84) | v185(constB84) | (~v178(constB84))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28415, 28414])).
% 28.54/19.12 tff(28417,plain,
% 28.54/19.12 (v181(constB84) | (~v178(constB84))),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28416, 27314, 28413])).
% 28.54/19.12 tff(28418,plain,
% 28.54/19.12 (~v178(constB84)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28417, 28401])).
% 28.54/19.12 tff(28419,plain,
% 28.54/19.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB84, constB85)) | v178(constB84) | (~v180(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB84, constB85)) | v178(constB84) | (~v180(constB85)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28420,plain,
% 28.54/19.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB84, constB85)) | v178(constB84) | (~v180(constB85)))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28421,plain,
% 28.54/19.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB84, constB85)) | v178(constB84) | (~v180(constB85))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28420, 28419])).
% 28.54/19.12 tff(28422,plain,
% 28.54/19.12 (v178(constB84) | (~v180(constB85))),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28421, 27329, 10993])).
% 28.54/19.12 tff(28423,plain,
% 28.54/19.12 (~v180(constB85)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28422, 28418])).
% 28.54/19.12 tff(28424,plain,
% 28.54/19.12 ($false),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28423, 28292])).
% 28.54/19.12 tff(28425,plain,(~(constB85 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.54/19.12 tff(28426,assumption,(constB12 = sK_VarCurr), introduced(assumption)).
% 28.54/19.12 tff(28427,plain,
% 28.54/19.12 (v1(constB12) <=> v1(sK_VarCurr)),
% 28.54/19.12 inference(monotonicity,[status(thm)],[28426])).
% 28.54/19.12 tff(28428,plain,
% 28.54/19.12 (v1(sK_VarCurr) <=> v1(constB12)),
% 28.54/19.12 inference(symmetry,[status(thm)],[28427])).
% 28.54/19.12 tff(28429,plain,
% 28.54/19.12 ((~v1(sK_VarCurr)) <=> (~v1(constB12))),
% 28.54/19.12 inference(monotonicity,[status(thm)],[28428])).
% 28.54/19.12 tff(28430,plain,
% 28.54/19.12 (~v1(constB12)),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[63, 28429])).
% 28.54/19.12 tff(28431,plain,
% 28.54/19.12 ($false),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[1852, 28430])).
% 28.54/19.12 tff(28432,plain,(~(constB12 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.54/19.12 tff(28433,assumption,(constB159 = sK_VarCurr), introduced(assumption)).
% 28.54/19.12 tff(28434,plain,
% 28.54/19.12 (v180(constB159) <=> v180(sK_VarCurr)),
% 28.54/19.12 inference(monotonicity,[status(thm)],[28433])).
% 28.54/19.12 tff(28435,plain,
% 28.54/19.12 (v180(sK_VarCurr) <=> v180(constB159)),
% 28.54/19.12 inference(symmetry,[status(thm)],[28434])).
% 28.54/19.12 tff(28436,plain,
% 28.54/19.12 (v180(constB159)),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[86, 28435])).
% 28.54/19.12 tff(28437,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB157, 0)) | v90(constB157, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB157, 0)) | v90(constB157, 0))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28438,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB157, 0)) | v90(constB157, 0))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28439,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB157, 0)) | v90(constB157, 0)),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28438, 28437])).
% 28.54/19.12 tff(28440,plain,
% 28.54/19.12 (~v88(constB157, 0)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28439, 26990, 22542])).
% 28.54/19.12 tff(28441,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB157, 2)) | v88(constB157, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB157, 2)) | v88(constB157, 2))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28442,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB157, 2)) | v88(constB157, 2))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28443,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB157, 2)) | v88(constB157, 2)),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28442, 28441])).
% 28.54/19.12 tff(28444,plain,
% 28.54/19.12 (v88(constB157, 2)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28443, 27680, 22477])).
% 28.54/19.12 tff(28445,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB157, 1)) | v88(constB157, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB157, 1)) | v88(constB157, 1))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28446,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB157, 1)) | v88(constB157, 1))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28447,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB157, 1)) | v88(constB157, 1)),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28446, 28445])).
% 28.54/19.12 tff(28448,plain,
% 28.54/19.12 (v88(constB157, 1)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28447, 26945, 22508])).
% 28.54/19.12 tff(28449,plain,
% 28.54/19.12 (^[VarCurr: state_type] : refl(((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr)) <=> ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr)))),
% 28.54/19.12 inference(bind,[status(th)],[])).
% 28.54/19.12 tff(28450,plain,
% 28.54/19.12 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 28.54/19.12 inference(quant_intro,[status(thm)],[28449])).
% 28.54/19.12 tff(28451,plain,
% 28.54/19.12 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28452,plain,
% 28.54/19.12 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v88(VarCurr, 0) | (~v88(VarCurr, 1))) <=> ((~v88(VarCurr, 1)) | v88(VarCurr, 0))), (((v88(VarCurr, 0) | (~v88(VarCurr, 1))) | (~v88(VarCurr, 2))) <=> (((~v88(VarCurr, 1)) | v88(VarCurr, 0)) | (~v88(VarCurr, 2))))), rewrite((((~v88(VarCurr, 1)) | v88(VarCurr, 0)) | (~v88(VarCurr, 2))) <=> ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0))), (((v88(VarCurr, 0) | (~v88(VarCurr, 1))) | (~v88(VarCurr, 2))) <=> ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0)))), ((((v88(VarCurr, 0) | (~v88(VarCurr, 1))) | (~v88(VarCurr, 2))) | v144(VarCurr)) <=> (((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0)) | v144(VarCurr)))), rewrite((((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0)) | v144(VarCurr)) <=> ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))), ((((v88(VarCurr, 0) | (~v88(VarCurr, 1))) | (~v88(VarCurr, 2))) | v144(VarCurr)) <=> ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))))),
% 28.54/19.12 inference(bind,[status(th)],[])).
% 28.54/19.12 tff(28453,plain,
% 28.54/19.12 (![VarCurr: state_type] : (((v88(VarCurr, 0) | (~v88(VarCurr, 1))) | (~v88(VarCurr, 2))) | v144(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 28.54/19.12 inference(quant_intro,[status(thm)],[28452])).
% 28.54/19.12 tff(28454,axiom,(![VarCurr: state_type] : (((v88(VarCurr, 0) | (~v88(VarCurr, 1))) | (~v88(VarCurr, 2))) | v144(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_13_1_1_1')).
% 28.54/19.12 tff(28455,plain,
% 28.54/19.12 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28454, 28453])).
% 28.54/19.12 tff(28456,plain,
% 28.54/19.12 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28455, 28451])).
% 28.54/19.12 tff(28457,plain,(
% 28.54/19.12 ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 28.54/19.12 inference(skolemize,[status(sab)],[28456])).
% 28.54/19.12 tff(28458,plain,
% 28.54/19.12 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28457, 28450])).
% 28.54/19.12 tff(28459,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB157, 0) | (~v88(constB157, 2)) | (~v88(constB157, 1)) | v144(constB157))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB157, 0) | (~v88(constB157, 2)) | (~v88(constB157, 1)) | v144(constB157))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28460,plain,
% 28.54/19.12 (((~v88(constB157, 2)) | (~v88(constB157, 1)) | v88(constB157, 0) | v144(constB157)) <=> (v88(constB157, 0) | (~v88(constB157, 2)) | (~v88(constB157, 1)) | v144(constB157))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28461,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB157, 2)) | (~v88(constB157, 1)) | v88(constB157, 0) | v144(constB157))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB157, 0) | (~v88(constB157, 2)) | (~v88(constB157, 1)) | v144(constB157)))),
% 28.54/19.12 inference(monotonicity,[status(thm)],[28460])).
% 28.54/19.12 tff(28462,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB157, 2)) | (~v88(constB157, 1)) | v88(constB157, 0) | v144(constB157))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB157, 0) | (~v88(constB157, 2)) | (~v88(constB157, 1)) | v144(constB157))),
% 28.54/19.12 inference(transitivity,[status(thm)],[28461, 28459])).
% 28.54/19.12 tff(28463,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB157, 2)) | (~v88(constB157, 1)) | v88(constB157, 0) | v144(constB157))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28464,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB157, 0) | (~v88(constB157, 2)) | (~v88(constB157, 1)) | v144(constB157)),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28463, 28462])).
% 28.54/19.12 tff(28465,plain,
% 28.54/19.12 (v144(constB157)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28464, 28458, 28448, 28444, 28440])).
% 28.54/19.12 tff(28466,plain,
% 28.54/19.12 (^[VarCurr: state_type] : refl(((~v144(VarCurr)) | v142(VarCurr)) <=> ((~v144(VarCurr)) | v142(VarCurr)))),
% 28.54/19.12 inference(bind,[status(th)],[])).
% 28.54/19.12 tff(28467,plain,
% 28.54/19.12 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 28.54/19.12 inference(quant_intro,[status(thm)],[28466])).
% 28.54/19.12 tff(28468,plain,
% 28.54/19.12 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28469,axiom,(![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_1')).
% 28.54/19.12 tff(28470,plain,
% 28.54/19.12 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28469, 28468])).
% 28.54/19.12 tff(28471,plain,(
% 28.54/19.12 ![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 28.54/19.12 inference(skolemize,[status(sab)],[28470])).
% 28.54/19.12 tff(28472,plain,
% 28.54/19.12 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28471, 28467])).
% 28.54/19.12 tff(28473,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (v142(constB157) | (~v144(constB157)))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | v142(constB157) | (~v144(constB157)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28474,plain,
% 28.54/19.12 (((~v144(constB157)) | v142(constB157)) <=> (v142(constB157) | (~v144(constB157)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28475,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB157)) | v142(constB157))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (v142(constB157) | (~v144(constB157))))),
% 28.54/19.12 inference(monotonicity,[status(thm)],[28474])).
% 28.54/19.12 tff(28476,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB157)) | v142(constB157))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | v142(constB157) | (~v144(constB157)))),
% 28.54/19.12 inference(transitivity,[status(thm)],[28475, 28473])).
% 28.54/19.12 tff(28477,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB157)) | v142(constB157))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28478,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | v142(constB157) | (~v144(constB157))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28477, 28476])).
% 28.54/19.12 tff(28479,plain,
% 28.54/19.12 (v142(constB157)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28478, 28472, 28465])).
% 28.54/19.12 tff(28480,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (v165(constB157) | (~v142(constB157)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | v165(constB157) | (~v142(constB157)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28481,plain,
% 28.54/19.12 (((~v142(constB157)) | v165(constB157)) <=> (v165(constB157) | (~v142(constB157)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28482,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB157)) | v165(constB157))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (v165(constB157) | (~v142(constB157))))),
% 28.54/19.12 inference(monotonicity,[status(thm)],[28481])).
% 28.54/19.12 tff(28483,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB157)) | v165(constB157))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | v165(constB157) | (~v142(constB157)))),
% 28.54/19.12 inference(transitivity,[status(thm)],[28482, 28480])).
% 28.54/19.12 tff(28484,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB157)) | v165(constB157))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28485,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | v165(constB157) | (~v142(constB157))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28484, 28483])).
% 28.54/19.12 tff(28486,plain,
% 28.54/19.12 (v165(constB157)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28485, 27075, 28479])).
% 28.54/19.12 tff(28487,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB157) | (~v165(constB157)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB157) | (~v165(constB157)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28488,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB157) | (~v165(constB157)))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28489,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB157) | (~v165(constB157))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28488, 28487])).
% 28.54/19.12 tff(28490,plain,
% 28.54/19.12 (v164(constB157)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28489, 27089, 28486])).
% 28.54/19.12 tff(28491,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB157)) | (~v88(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB157)) | (~v88(constB157, 1)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28492,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB157)) | (~v88(constB157, 1)))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28493,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB157)) | (~v88(constB157, 1))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28492, 28491])).
% 28.54/19.12 tff(28494,plain,
% 28.54/19.12 (~v139(constB157)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28493, 27117, 28448])).
% 28.54/19.12 tff(28495,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB157)) | (~v88(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB157)) | (~v88(constB157, 1)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28496,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB157)) | (~v88(constB157, 1)))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28497,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB157)) | (~v88(constB157, 1))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28496, 28495])).
% 28.54/19.12 tff(28498,plain,
% 28.54/19.12 (~v140(constB157)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28497, 27128, 28448])).
% 28.54/19.12 tff(28499,plain,
% 28.54/19.12 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB157) | v140(constB157) | (~v168(constB157)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB157) | v140(constB157) | (~v168(constB157)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28500,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB157) | v140(constB157) | (~v168(constB157)))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28501,plain,
% 28.54/19.12 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB157) | v140(constB157) | (~v168(constB157))),
% 28.54/19.12 inference(modus_ponens,[status(thm)],[28500, 28499])).
% 28.54/19.12 tff(28502,plain,
% 28.54/19.12 (~v168(constB157)),
% 28.54/19.12 inference(unit_resolution,[status(thm)],[28501, 27142, 28498, 28494])).
% 28.54/19.12 tff(28503,plain,
% 28.54/19.12 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB157)) | v168(constB157) | (~v164(constB157)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB157)) | v168(constB157) | (~v164(constB157)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28504,plain,
% 28.54/19.12 (((~v164(constB157)) | v168(constB157) | (~v161(constB157))) <=> ((~v161(constB157)) | v168(constB157) | (~v164(constB157)))),
% 28.54/19.12 inference(rewrite,[status(thm)],[])).
% 28.54/19.12 tff(28505,plain,
% 28.54/19.12 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB157)) | v168(constB157) | (~v161(constB157)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB157)) | v168(constB157) | (~v164(constB157))))),
% 28.54/19.12 inference(monotonicity,[status(thm)],[28504])).
% 28.54/19.12 tff(28506,plain,
% 28.54/19.12 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB157)) | v168(constB157) | (~v161(constB157)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB157)) | v168(constB157) | (~v164(constB157)))),
% 28.54/19.12 inference(transitivity,[status(thm)],[28505, 28503])).
% 28.54/19.12 tff(28507,plain,
% 28.54/19.12 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB157)) | v168(constB157) | (~v161(constB157)))),
% 28.54/19.12 inference(quant_inst,[status(thm)],[])).
% 28.54/19.12 tff(28508,plain,
% 28.54/19.12 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB157)) | v168(constB157) | (~v164(constB157))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28507, 28506])).
% 28.54/19.13 tff(28509,plain,
% 28.54/19.13 ((~v161(constB157)) | (~v164(constB157))),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28508, 27156, 28502])).
% 28.54/19.13 tff(28510,plain,
% 28.54/19.13 (~v161(constB157)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28509, 28490])).
% 28.54/19.13 tff(28511,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB157) | (~v187(constB157)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB157) | (~v187(constB157)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28512,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB157) | (~v187(constB157)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28513,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB157) | (~v187(constB157))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28512, 28511])).
% 28.54/19.13 tff(28514,plain,
% 28.54/19.13 (~v187(constB157)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28513, 27174, 28510])).
% 28.54/19.13 tff(28515,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB157) | (~v185(constB157)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB157) | (~v185(constB157)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28516,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB157) | (~v185(constB157)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28517,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB157) | (~v185(constB157))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28516, 28515])).
% 28.54/19.13 tff(28518,plain,
% 28.54/19.13 (~v185(constB157)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28517, 27188, 28514])).
% 28.54/19.13 tff(28519,assumption,(v18(constB158)), introduced(assumption)).
% 28.54/19.13 tff(28520,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB158))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28521,plain,
% 28.54/19.13 ($false),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28520, 27200, 28519])).
% 28.54/19.13 tff(28522,plain,(~v18(constB158)), inference(lemma,lemma(discharge,[]))).
% 28.54/19.13 tff(28523,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB158) | (~v1(constB158)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB158) | (~v1(constB158)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28524,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB158) | (~v1(constB158)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28525,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB158) | (~v1(constB158))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28524, 28523])).
% 28.54/19.13 tff(28526,plain,
% 28.54/19.13 (v22(constB158)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28525, 27216, 22595])).
% 28.54/19.13 tff(28527,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB158) | (~v22(constB158)) | (~v19(constB158)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB158) | (~v22(constB158)) | (~v19(constB158)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28528,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB158) | (~v22(constB158)) | (~v19(constB158)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28529,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB158) | (~v22(constB158)) | (~v19(constB158))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28528, 28527])).
% 28.54/19.13 tff(28530,plain,
% 28.54/19.13 (v18(constB158) | (~v19(constB158))),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28529, 27230, 28526])).
% 28.54/19.13 tff(28531,plain,
% 28.54/19.13 (~v19(constB158)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28530, 28522])).
% 28.54/19.13 tff(28532,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB158) | v19(constB158))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB158) | v19(constB158))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28533,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB158) | v19(constB158))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28534,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB158) | v19(constB158)),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28533, 28532])).
% 28.54/19.13 tff(28535,plain,
% 28.54/19.13 (v13(constB158)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28534, 27242, 28531])).
% 28.54/19.13 tff(28536,plain,
% 28.54/19.13 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB157) | (~v13(constB158)) | (~nextState(constB157, constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB157) | (~v13(constB158)) | (~nextState(constB157, constB158)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28537,plain,
% 28.54/19.13 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB157) | (~v13(constB158)) | (~nextState(constB157, constB158)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28538,plain,
% 28.54/19.13 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB157) | (~v13(constB158)) | (~nextState(constB157, constB158))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28537, 28536])).
% 28.54/19.13 tff(28539,plain,
% 28.54/19.13 (v9(constB157) | (~v13(constB158))),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28538, 27259, 22575])).
% 28.54/19.13 tff(28540,plain,
% 28.54/19.13 (v9(constB157)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28539, 28535])).
% 28.54/19.13 tff(28541,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB157) | (~v9(constB157)) | v184(constB157))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB157) | (~v9(constB157)) | v184(constB157))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28542,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB157) | (~v9(constB157)) | v184(constB157))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28543,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB157) | (~v9(constB157)) | v184(constB157)),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28542, 28541])).
% 28.54/19.13 tff(28544,plain,
% 28.54/19.13 ((~v9(constB157)) | v184(constB157)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28543, 27274, 22453])).
% 28.54/19.13 tff(28545,plain,
% 28.54/19.13 (v184(constB157)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28544, 28540])).
% 28.54/19.13 tff(28546,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB157) | (~v184(constB157)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB157) | (~v184(constB157)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28547,plain,
% 28.54/19.13 (((~v184(constB157)) | v183(constB157)) <=> (v183(constB157) | (~v184(constB157)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28548,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB157)) | v183(constB157))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB157) | (~v184(constB157))))),
% 28.54/19.13 inference(monotonicity,[status(thm)],[28547])).
% 28.54/19.13 tff(28549,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB157)) | v183(constB157))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB157) | (~v184(constB157)))),
% 28.54/19.13 inference(transitivity,[status(thm)],[28548, 28546])).
% 28.54/19.13 tff(28550,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB157)) | v183(constB157))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28551,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB157) | (~v184(constB157))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28550, 28549])).
% 28.54/19.13 tff(28552,plain,
% 28.54/19.13 (v183(constB157)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28551, 27286, 28545])).
% 28.54/19.13 tff(28553,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB157)) | (~v183(constB157)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB157)) | (~v183(constB157)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28554,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB157)) | (~v183(constB157)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28555,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB157)) | (~v183(constB157))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28554, 28553])).
% 28.54/19.13 tff(28556,plain,
% 28.54/19.13 (~v181(constB157)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28555, 27300, 28552])).
% 28.54/19.13 tff(28557,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB157) | v185(constB157) | (~v178(constB157)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB157) | v185(constB157) | (~v178(constB157)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28558,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB157) | v185(constB157) | (~v178(constB157)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28559,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB157) | v185(constB157) | (~v178(constB157))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28558, 28557])).
% 28.54/19.13 tff(28560,plain,
% 28.54/19.13 (v185(constB157) | (~v178(constB157))),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28559, 27314, 28556])).
% 28.54/19.13 tff(28561,plain,
% 28.54/19.13 (~v178(constB157)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28560, 28518])).
% 28.54/19.13 tff(28562,plain,
% 28.54/19.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB157, constB158)) | v178(constB157) | (~v180(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB157, constB158)) | v178(constB157) | (~v180(constB158)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28563,plain,
% 28.54/19.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB157, constB158)) | v178(constB157) | (~v180(constB158)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28564,plain,
% 28.54/19.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB157, constB158)) | v178(constB157) | (~v180(constB158))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28563, 28562])).
% 28.54/19.13 tff(28565,plain,
% 28.54/19.13 (v178(constB157) | (~v180(constB158))),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28564, 27329, 22575])).
% 28.54/19.13 tff(28566,plain,
% 28.54/19.13 (~v180(constB158)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28565, 28561])).
% 28.54/19.13 tff(28567,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB158) | (~v181(constB158)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB158) | (~v181(constB158)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28568,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB158) | (~v181(constB158)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28569,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB158) | (~v181(constB158))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28568, 28567])).
% 28.54/19.13 tff(28570,plain,
% 28.54/19.13 (~v181(constB158)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28569, 27344, 28566])).
% 28.54/19.13 tff(28571,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB158)) | (~v184(constB158)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB158)) | (~v184(constB158)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28572,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB158)) | (~v184(constB158)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28573,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB158)) | (~v184(constB158))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28572, 28571])).
% 28.54/19.13 tff(28574,plain,
% 28.54/19.13 (~v184(constB158)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28573, 59, 22595])).
% 28.54/19.13 tff(28575,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB158) | (~v187(constB158)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB158) | (~v187(constB158)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28576,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB158) | (~v187(constB158)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28577,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB158) | (~v187(constB158))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28576, 28575])).
% 28.54/19.13 tff(28578,plain,
% 28.54/19.13 (~v187(constB158)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28577, 27362, 28574])).
% 28.54/19.13 tff(28579,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB158) | (~v185(constB158)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB158) | (~v185(constB158)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28580,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB158) | (~v185(constB158)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28581,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB158) | (~v185(constB158))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28580, 28579])).
% 28.54/19.13 tff(28582,plain,
% 28.54/19.13 (~v185(constB158)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28581, 27188, 28578])).
% 28.54/19.13 tff(28583,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB158) | v185(constB158) | (~v178(constB158)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB158) | v185(constB158) | (~v178(constB158)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28584,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB158) | v185(constB158) | (~v178(constB158)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28585,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB158) | v185(constB158) | (~v178(constB158))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28584, 28583])).
% 28.54/19.13 tff(28586,plain,
% 28.54/19.13 (v181(constB158) | (~v178(constB158))),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28585, 27314, 28582])).
% 28.54/19.13 tff(28587,plain,
% 28.54/19.13 (~v178(constB158)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28586, 28570])).
% 28.54/19.13 tff(28588,plain,
% 28.54/19.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB158, constB159)) | v178(constB158) | (~v180(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB158, constB159)) | v178(constB158) | (~v180(constB159)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28589,plain,
% 28.54/19.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB158, constB159)) | v178(constB158) | (~v180(constB159)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28590,plain,
% 28.54/19.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB158, constB159)) | v178(constB158) | (~v180(constB159))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28589, 28588])).
% 28.54/19.13 tff(28591,plain,
% 28.54/19.13 (v178(constB158) | (~v180(constB159))),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28590, 27329, 22661])).
% 28.54/19.13 tff(28592,plain,
% 28.54/19.13 (~v180(constB159)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28591, 28587])).
% 28.54/19.13 tff(28593,plain,
% 28.54/19.13 ($false),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28592, 28436])).
% 28.54/19.13 tff(28594,plain,(~(constB159 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.54/19.13 tff(28595,assumption,(constB57 = sK_VarCurr), introduced(assumption)).
% 28.54/19.13 tff(28596,plain,
% 28.54/19.13 (v180(constB57) <=> v180(sK_VarCurr)),
% 28.54/19.13 inference(monotonicity,[status(thm)],[28595])).
% 28.54/19.13 tff(28597,plain,
% 28.54/19.13 (v180(sK_VarCurr) <=> v180(constB57)),
% 28.54/19.13 inference(symmetry,[status(thm)],[28596])).
% 28.54/19.13 tff(28598,plain,
% 28.54/19.13 (v180(constB57)),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[86, 28597])).
% 28.54/19.13 tff(28599,assumption,(v18(constB54)), introduced(assumption)).
% 28.54/19.13 tff(28600,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB54))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28601,plain,
% 28.54/19.13 ($false),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28600, 27200, 28599])).
% 28.54/19.13 tff(28602,plain,(~v18(constB54)), inference(lemma,lemma(discharge,[]))).
% 28.54/19.13 tff(28603,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB54) | (~v1(constB54)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB54) | (~v1(constB54)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28604,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB54) | (~v1(constB54)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28605,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB54) | (~v1(constB54))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28604, 28603])).
% 28.54/19.13 tff(28606,plain,
% 28.54/19.13 (v22(constB54)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28605, 27216, 7812])).
% 28.54/19.13 tff(28607,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB54) | (~v22(constB54)) | (~v19(constB54)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB54) | (~v22(constB54)) | (~v19(constB54)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28608,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB54) | (~v22(constB54)) | (~v19(constB54)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28609,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB54) | (~v22(constB54)) | (~v19(constB54))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28608, 28607])).
% 28.54/19.13 tff(28610,plain,
% 28.54/19.13 (v18(constB54) | (~v19(constB54))),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28609, 27230, 28606])).
% 28.54/19.13 tff(28611,plain,
% 28.54/19.13 (~v19(constB54)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28610, 28602])).
% 28.54/19.13 tff(28612,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB54) | v19(constB54))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB54) | v19(constB54))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28613,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB54) | v19(constB54))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28614,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB54) | v19(constB54)),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28613, 28612])).
% 28.54/19.13 tff(28615,plain,
% 28.54/19.13 (v13(constB54)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28614, 27242, 28611])).
% 28.54/19.13 tff(28616,plain,
% 28.54/19.13 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB53) | (~v13(constB54)) | (~nextState(constB53, constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB53) | (~v13(constB54)) | (~nextState(constB53, constB54)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28617,plain,
% 28.54/19.13 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB53) | (~v13(constB54)) | (~nextState(constB53, constB54)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28618,plain,
% 28.54/19.13 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB53) | (~v13(constB54)) | (~nextState(constB53, constB54))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28617, 28616])).
% 28.54/19.13 tff(28619,plain,
% 28.54/19.13 (v9(constB53) | (~v13(constB54))),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28618, 27259, 7792])).
% 28.54/19.13 tff(28620,plain,
% 28.54/19.13 (v9(constB53)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28619, 28615])).
% 28.54/19.13 tff(28621,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB53) | (~v9(constB53)) | v184(constB53))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB53) | (~v9(constB53)) | v184(constB53))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28622,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB53) | (~v9(constB53)) | v184(constB53))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28623,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB53) | (~v9(constB53)) | v184(constB53)),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28622, 28621])).
% 28.54/19.13 tff(28624,plain,
% 28.54/19.13 ((~v9(constB53)) | v184(constB53)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28623, 27274, 7651])).
% 28.54/19.13 tff(28625,plain,
% 28.54/19.13 (v184(constB53)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28624, 28620])).
% 28.54/19.13 tff(28626,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB53)) | v183(constB53))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB53)) | v183(constB53))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28627,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB53)) | v183(constB53))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28628,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB53)) | v183(constB53)),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28627, 28626])).
% 28.54/19.13 tff(28629,plain,
% 28.54/19.13 (v183(constB53)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28628, 27286, 28625])).
% 28.54/19.13 tff(28630,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB53)) | (~v183(constB53)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB53)) | (~v183(constB53)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28631,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB53)) | (~v183(constB53)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28632,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB53)) | (~v183(constB53))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28631, 28630])).
% 28.54/19.13 tff(28633,plain,
% 28.54/19.13 (~v181(constB53)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28632, 27300, 28629])).
% 28.54/19.13 tff(28634,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB53, 2)) | v90(constB53, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB53, 2)) | v90(constB53, 2))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28635,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB53, 2)) | v90(constB53, 2))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28636,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB53, 2)) | v90(constB53, 2)),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28635, 28634])).
% 28.54/19.13 tff(28637,plain,
% 28.54/19.13 (~v88(constB53, 2)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28636, 27032, 7675])).
% 28.54/19.13 tff(28638,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB53, 0)) | v90(constB53, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB53, 0)) | v90(constB53, 0))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28639,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB53, 0)) | v90(constB53, 0))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28640,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB53, 0)) | v90(constB53, 0)),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28639, 28638])).
% 28.54/19.13 tff(28641,plain,
% 28.54/19.13 (~v88(constB53, 0)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28640, 26990, 7740])).
% 28.54/19.13 tff(28642,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB53, 1)) | v88(constB53, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB53, 1)) | v88(constB53, 1))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28643,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB53, 1)) | v88(constB53, 1))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28644,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB53, 1)) | v88(constB53, 1)),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28643, 28642])).
% 28.54/19.13 tff(28645,plain,
% 28.54/19.13 (v88(constB53, 1)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28644, 26945, 7706])).
% 28.54/19.13 tff(28646,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | ((~v88(constB53, 1)) | v88(constB53, 2) | v143(constB53) | v88(constB53, 0))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB53, 1)) | v88(constB53, 2) | v143(constB53) | v88(constB53, 0))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28647,plain,
% 28.54/19.13 ((v88(constB53, 2) | (~v88(constB53, 1)) | v88(constB53, 0) | v143(constB53)) <=> ((~v88(constB53, 1)) | v88(constB53, 2) | v143(constB53) | v88(constB53, 0))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28648,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB53, 2) | (~v88(constB53, 1)) | v88(constB53, 0) | v143(constB53))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | ((~v88(constB53, 1)) | v88(constB53, 2) | v143(constB53) | v88(constB53, 0)))),
% 28.54/19.13 inference(monotonicity,[status(thm)],[28647])).
% 28.54/19.13 tff(28649,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB53, 2) | (~v88(constB53, 1)) | v88(constB53, 0) | v143(constB53))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB53, 1)) | v88(constB53, 2) | v143(constB53) | v88(constB53, 0))),
% 28.54/19.13 inference(transitivity,[status(thm)],[28648, 28646])).
% 28.54/19.13 tff(28650,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB53, 2) | (~v88(constB53, 1)) | v88(constB53, 0) | v143(constB53))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28651,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB53, 1)) | v88(constB53, 2) | v143(constB53) | v88(constB53, 0)),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28650, 28649])).
% 28.54/19.13 tff(28652,plain,
% 28.54/19.13 (v143(constB53)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28651, 27047, 28645, 28641, 28637])).
% 28.54/19.13 tff(28653,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB53)) | v142(constB53))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB53)) | v142(constB53))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28654,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB53)) | v142(constB53))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28655,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB53)) | v142(constB53)),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28654, 28653])).
% 28.54/19.13 tff(28656,plain,
% 28.54/19.13 (v142(constB53)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28655, 27064, 28652])).
% 28.54/19.13 tff(28657,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (v165(constB53) | (~v142(constB53)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | v165(constB53) | (~v142(constB53)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28658,plain,
% 28.54/19.13 (((~v142(constB53)) | v165(constB53)) <=> (v165(constB53) | (~v142(constB53)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28659,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB53)) | v165(constB53))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (v165(constB53) | (~v142(constB53))))),
% 28.54/19.13 inference(monotonicity,[status(thm)],[28658])).
% 28.54/19.13 tff(28660,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB53)) | v165(constB53))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | v165(constB53) | (~v142(constB53)))),
% 28.54/19.13 inference(transitivity,[status(thm)],[28659, 28657])).
% 28.54/19.13 tff(28661,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB53)) | v165(constB53))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28662,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | v165(constB53) | (~v142(constB53))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28661, 28660])).
% 28.54/19.13 tff(28663,plain,
% 28.54/19.13 (v165(constB53)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28662, 27075, 28656])).
% 28.54/19.13 tff(28664,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB53) | (~v165(constB53)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB53) | (~v165(constB53)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28665,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB53) | (~v165(constB53)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28666,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB53) | (~v165(constB53))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28665, 28664])).
% 28.54/19.13 tff(28667,plain,
% 28.54/19.13 (v164(constB53)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28666, 27089, 28663])).
% 28.54/19.13 tff(28668,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB53)) | (~v88(constB53, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB53)) | (~v88(constB53, 1)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28669,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB53)) | (~v88(constB53, 1)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28670,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB53)) | (~v88(constB53, 1))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28669, 28668])).
% 28.54/19.13 tff(28671,plain,
% 28.54/19.13 (~v139(constB53)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28670, 27117, 28645])).
% 28.54/19.13 tff(28672,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB53)) | (~v88(constB53, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB53)) | (~v88(constB53, 1)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28673,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB53)) | (~v88(constB53, 1)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28674,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB53)) | (~v88(constB53, 1))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28673, 28672])).
% 28.54/19.13 tff(28675,plain,
% 28.54/19.13 (~v140(constB53)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28674, 27128, 28645])).
% 28.54/19.13 tff(28676,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB53) | v140(constB53) | (~v168(constB53)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB53) | v140(constB53) | (~v168(constB53)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28677,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB53) | v140(constB53) | (~v168(constB53)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28678,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB53) | v140(constB53) | (~v168(constB53))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28677, 28676])).
% 28.54/19.13 tff(28679,plain,
% 28.54/19.13 (~v168(constB53)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28678, 27142, 28675, 28671])).
% 28.54/19.13 tff(28680,plain,
% 28.54/19.13 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB53)) | (~v164(constB53)) | v168(constB53))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB53)) | (~v164(constB53)) | v168(constB53))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28681,plain,
% 28.54/19.13 (((~v164(constB53)) | v168(constB53) | (~v161(constB53))) <=> ((~v161(constB53)) | (~v164(constB53)) | v168(constB53))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28682,plain,
% 28.54/19.13 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB53)) | v168(constB53) | (~v161(constB53)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB53)) | (~v164(constB53)) | v168(constB53)))),
% 28.54/19.13 inference(monotonicity,[status(thm)],[28681])).
% 28.54/19.13 tff(28683,plain,
% 28.54/19.13 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB53)) | v168(constB53) | (~v161(constB53)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB53)) | (~v164(constB53)) | v168(constB53))),
% 28.54/19.13 inference(transitivity,[status(thm)],[28682, 28680])).
% 28.54/19.13 tff(28684,plain,
% 28.54/19.13 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB53)) | v168(constB53) | (~v161(constB53)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28685,plain,
% 28.54/19.13 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB53)) | (~v164(constB53)) | v168(constB53)),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28684, 28683])).
% 28.54/19.13 tff(28686,plain,
% 28.54/19.13 ((~v161(constB53)) | (~v164(constB53))),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28685, 27156, 28679])).
% 28.54/19.13 tff(28687,plain,
% 28.54/19.13 (~v161(constB53)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28686, 28667])).
% 28.54/19.13 tff(28688,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB53) | (~v187(constB53)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB53) | (~v187(constB53)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28689,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB53) | (~v187(constB53)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28690,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB53) | (~v187(constB53))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28689, 28688])).
% 28.54/19.13 tff(28691,plain,
% 28.54/19.13 (~v187(constB53)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28690, 27174, 28687])).
% 28.54/19.13 tff(28692,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB53) | (~v185(constB53)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB53) | (~v185(constB53)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28693,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB53) | (~v185(constB53)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28694,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB53) | (~v185(constB53))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28693, 28692])).
% 28.54/19.13 tff(28695,plain,
% 28.54/19.13 (~v185(constB53)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28694, 27188, 28691])).
% 28.54/19.13 tff(28696,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB53) | v185(constB53) | (~v178(constB53)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB53) | v185(constB53) | (~v178(constB53)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28697,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB53) | v185(constB53) | (~v178(constB53)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28698,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB53) | v185(constB53) | (~v178(constB53))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28697, 28696])).
% 28.54/19.13 tff(28699,plain,
% 28.54/19.13 (v181(constB53) | (~v178(constB53))),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28698, 27314, 28695])).
% 28.54/19.13 tff(28700,plain,
% 28.54/19.13 (~v178(constB53)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28699, 28633])).
% 28.54/19.13 tff(28701,plain,
% 28.54/19.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB53, constB54)) | v178(constB53) | (~v180(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB53, constB54)) | v178(constB53) | (~v180(constB54)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28702,plain,
% 28.54/19.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB53, constB54)) | v178(constB53) | (~v180(constB54)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28703,plain,
% 28.54/19.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB53, constB54)) | v178(constB53) | (~v180(constB54))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28702, 28701])).
% 28.54/19.13 tff(28704,plain,
% 28.54/19.13 (v178(constB53) | (~v180(constB54))),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28703, 27329, 7792])).
% 28.54/19.13 tff(28705,plain,
% 28.54/19.13 (~v180(constB54)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28704, 28700])).
% 28.54/19.13 tff(28706,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB54) | (~v181(constB54)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB54) | (~v181(constB54)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28707,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB54) | (~v181(constB54)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28708,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB54) | (~v181(constB54))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28707, 28706])).
% 28.54/19.13 tff(28709,plain,
% 28.54/19.13 (~v181(constB54)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28708, 27344, 28705])).
% 28.54/19.13 tff(28710,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB54)) | (~v184(constB54)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB54)) | (~v184(constB54)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28711,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB54)) | (~v184(constB54)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28712,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB54)) | (~v184(constB54))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28711, 28710])).
% 28.54/19.13 tff(28713,plain,
% 28.54/19.13 (~v184(constB54)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28712, 59, 7812])).
% 28.54/19.13 tff(28714,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB54) | (~v187(constB54)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB54) | (~v187(constB54)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28715,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB54) | (~v187(constB54)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28716,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB54) | (~v187(constB54))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28715, 28714])).
% 28.54/19.13 tff(28717,plain,
% 28.54/19.13 (~v187(constB54)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28716, 27362, 28713])).
% 28.54/19.13 tff(28718,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB54) | (~v185(constB54)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB54) | (~v185(constB54)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28719,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB54) | (~v185(constB54)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28720,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB54) | (~v185(constB54))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28719, 28718])).
% 28.54/19.13 tff(28721,plain,
% 28.54/19.13 (~v185(constB54)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28720, 27188, 28717])).
% 28.54/19.13 tff(28722,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB54) | v185(constB54) | (~v178(constB54)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB54) | v185(constB54) | (~v178(constB54)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28723,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB54) | v185(constB54) | (~v178(constB54)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28724,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB54) | v185(constB54) | (~v178(constB54))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28723, 28722])).
% 28.54/19.13 tff(28725,plain,
% 28.54/19.13 (v181(constB54) | (~v178(constB54))),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28724, 27314, 28721])).
% 28.54/19.13 tff(28726,plain,
% 28.54/19.13 (~v178(constB54)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28725, 28709])).
% 28.54/19.13 tff(28727,plain,
% 28.54/19.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB54, constB55)) | v178(constB54) | (~v180(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB54, constB55)) | v178(constB54) | (~v180(constB55)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28728,plain,
% 28.54/19.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB54, constB55)) | v178(constB54) | (~v180(constB55)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28729,plain,
% 28.54/19.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB54, constB55)) | v178(constB54) | (~v180(constB55))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28728, 28727])).
% 28.54/19.13 tff(28730,plain,
% 28.54/19.13 (v178(constB54) | (~v180(constB55))),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28729, 27329, 7854])).
% 28.54/19.13 tff(28731,plain,
% 28.54/19.13 (~v180(constB55)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28730, 28726])).
% 28.54/19.13 tff(28732,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB55) | (~v181(constB55)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB55) | (~v181(constB55)))),
% 28.54/19.13 inference(rewrite,[status(thm)],[])).
% 28.54/19.13 tff(28733,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB55) | (~v181(constB55)))),
% 28.54/19.13 inference(quant_inst,[status(thm)],[])).
% 28.54/19.13 tff(28734,plain,
% 28.54/19.13 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB55) | (~v181(constB55))),
% 28.54/19.13 inference(modus_ponens,[status(thm)],[28733, 28732])).
% 28.54/19.13 tff(28735,plain,
% 28.54/19.13 (~v181(constB55)),
% 28.54/19.13 inference(unit_resolution,[status(thm)],[28734, 27344, 28731])).
% 28.54/19.13 tff(28736,plain,
% 28.54/19.13 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB55, 2)) | v90(constB55, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB55, 2)) | v90(constB55, 2))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28737,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB55, 2)) | v90(constB55, 2))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28738,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB55, 2)) | v90(constB55, 2)),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28737, 28736])).
% 28.62/19.14 tff(28739,plain,
% 28.62/19.14 (~v88(constB55, 2)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28738, 27032, 7875])).
% 28.62/19.14 tff(28740,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB55, 1)) | v88(constB55, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB55, 1)) | v88(constB55, 1))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28741,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB55, 1)) | v88(constB55, 1))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28742,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB55, 1)) | v88(constB55, 1)),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28741, 28740])).
% 28.62/19.14 tff(28743,plain,
% 28.62/19.14 (v88(constB55, 1)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28742, 26945, 7906])).
% 28.62/19.14 tff(28744,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB55, 0)) | v88(constB55, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB55, 0)) | v88(constB55, 0))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28745,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB55, 0)) | v88(constB55, 0))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28746,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB55, 0)) | v88(constB55, 0)),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28745, 28744])).
% 28.62/19.14 tff(28747,plain,
% 28.62/19.14 (v88(constB55, 0)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28746, 27874, 7937])).
% 28.62/19.14 tff(28748,plain,
% 28.62/19.14 (^[VarCurr: state_type] : refl((v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr)) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr)))),
% 28.62/19.14 inference(bind,[status(th)],[])).
% 28.62/19.14 tff(28749,plain,
% 28.62/19.14 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))),
% 28.62/19.14 inference(quant_intro,[status(thm)],[28748])).
% 28.62/19.14 tff(28750,plain,
% 28.62/19.14 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28751,plain,
% 28.62/19.14 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v88(VarCurr, 2) | (~v88(VarCurr, 0))) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 0)))), (((v88(VarCurr, 2) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 1))) <=> ((v88(VarCurr, 2) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 1))))), rewrite(((v88(VarCurr, 2) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 1))) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))), (((v88(VarCurr, 2) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 1))) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0))))), ((((v88(VarCurr, 2) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 1))) | v141(VarCurr)) <=> ((v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0))) | v141(VarCurr)))), rewrite(((v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0))) | v141(VarCurr)) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))), ((((v88(VarCurr, 2) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 1))) | v141(VarCurr)) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))))),
% 28.62/19.14 inference(bind,[status(th)],[])).
% 28.62/19.14 tff(28752,plain,
% 28.62/19.14 (![VarCurr: state_type] : (((v88(VarCurr, 2) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 1))) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))),
% 28.62/19.14 inference(quant_intro,[status(thm)],[28751])).
% 28.62/19.14 tff(28753,axiom,(![VarCurr: state_type] : (((v88(VarCurr, 2) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 1))) | v141(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_1_1')).
% 28.62/19.14 tff(28754,plain,
% 28.62/19.14 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28753, 28752])).
% 28.62/19.14 tff(28755,plain,
% 28.62/19.14 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28754, 28750])).
% 28.62/19.14 tff(28756,plain,(
% 28.62/19.14 ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))),
% 28.62/19.14 inference(skolemize,[status(sab)],[28755])).
% 28.62/19.14 tff(28757,plain,
% 28.62/19.14 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28756, 28749])).
% 28.62/19.14 tff(28758,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB55, 0)) | v88(constB55, 2) | (~v88(constB55, 1)) | v141(constB55))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB55, 0)) | v88(constB55, 2) | (~v88(constB55, 1)) | v141(constB55))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28759,plain,
% 28.62/19.14 ((v88(constB55, 2) | (~v88(constB55, 1)) | (~v88(constB55, 0)) | v141(constB55)) <=> ((~v88(constB55, 0)) | v88(constB55, 2) | (~v88(constB55, 1)) | v141(constB55))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28760,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB55, 2) | (~v88(constB55, 1)) | (~v88(constB55, 0)) | v141(constB55))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB55, 0)) | v88(constB55, 2) | (~v88(constB55, 1)) | v141(constB55)))),
% 28.62/19.14 inference(monotonicity,[status(thm)],[28759])).
% 28.62/19.14 tff(28761,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB55, 2) | (~v88(constB55, 1)) | (~v88(constB55, 0)) | v141(constB55))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB55, 0)) | v88(constB55, 2) | (~v88(constB55, 1)) | v141(constB55))),
% 28.62/19.14 inference(transitivity,[status(thm)],[28760, 28758])).
% 28.62/19.14 tff(28762,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB55, 2) | (~v88(constB55, 1)) | (~v88(constB55, 0)) | v141(constB55))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28763,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB55, 0)) | v88(constB55, 2) | (~v88(constB55, 1)) | v141(constB55)),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28762, 28761])).
% 28.62/19.14 tff(28764,plain,
% 28.62/19.14 (v141(constB55)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28763, 28757, 28747, 28743, 28739])).
% 28.62/19.14 tff(28765,plain,
% 28.62/19.14 (^[VarCurr: state_type] : refl(((~v141(VarCurr)) | v166(VarCurr)) <=> ((~v141(VarCurr)) | v166(VarCurr)))),
% 28.62/19.14 inference(bind,[status(th)],[])).
% 28.62/19.14 tff(28766,plain,
% 28.62/19.14 (![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr)) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))),
% 28.62/19.14 inference(quant_intro,[status(thm)],[28765])).
% 28.62/19.14 tff(28767,plain,
% 28.62/19.14 (![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr)) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28768,axiom,(![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_37_1_1_2')).
% 28.62/19.14 tff(28769,plain,
% 28.62/19.14 (![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28768, 28767])).
% 28.62/19.14 tff(28770,plain,(
% 28.62/19.14 ![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))),
% 28.62/19.14 inference(skolemize,[status(sab)],[28769])).
% 28.62/19.14 tff(28771,plain,
% 28.62/19.14 (![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28770, 28766])).
% 28.62/19.14 tff(28772,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB55)) | v166(constB55))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | (~v141(constB55)) | v166(constB55))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28773,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB55)) | v166(constB55))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28774,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | (~v141(constB55)) | v166(constB55)),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28773, 28772])).
% 28.62/19.14 tff(28775,plain,
% 28.62/19.14 (v166(constB55)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28774, 28771, 28764])).
% 28.62/19.14 tff(28776,plain,
% 28.62/19.14 (^[VarCurr: state_type] : refl(((~v166(VarCurr)) | v165(VarCurr)) <=> ((~v166(VarCurr)) | v165(VarCurr)))),
% 28.62/19.14 inference(bind,[status(th)],[])).
% 28.62/19.14 tff(28777,plain,
% 28.62/19.14 (![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr)) <=> ![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))),
% 28.62/19.14 inference(quant_intro,[status(thm)],[28776])).
% 28.62/19.14 tff(28778,plain,
% 28.62/19.14 (![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr)) <=> ![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28779,axiom,(![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38_1_1_1')).
% 28.62/19.14 tff(28780,plain,
% 28.62/19.14 (![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28779, 28778])).
% 28.62/19.14 tff(28781,plain,(
% 28.62/19.14 ![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))),
% 28.62/19.14 inference(skolemize,[status(sab)],[28780])).
% 28.62/19.14 tff(28782,plain,
% 28.62/19.14 (![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28781, 28777])).
% 28.62/19.14 tff(28783,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB55)) | v165(constB55))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (~v166(constB55)) | v165(constB55))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28784,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB55)) | v165(constB55))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28785,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (~v166(constB55)) | v165(constB55)),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28784, 28783])).
% 28.62/19.14 tff(28786,plain,
% 28.62/19.14 (v165(constB55)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28785, 28782, 28775])).
% 28.62/19.14 tff(28787,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB55) | (~v165(constB55)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB55) | (~v165(constB55)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28788,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB55) | (~v165(constB55)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28789,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB55) | (~v165(constB55))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28788, 28787])).
% 28.62/19.14 tff(28790,plain,
% 28.62/19.14 (v164(constB55)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28789, 27089, 28786])).
% 28.62/19.14 tff(28791,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB55)) | (~v88(constB55, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB55)) | (~v88(constB55, 1)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28792,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB55)) | (~v88(constB55, 1)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28793,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB55)) | (~v88(constB55, 1))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28792, 28791])).
% 28.62/19.14 tff(28794,plain,
% 28.62/19.14 (~v140(constB55)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28793, 27128, 28743])).
% 28.62/19.14 tff(28795,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB55)) | (~v88(constB55, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB55)) | (~v88(constB55, 0)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28796,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB55)) | (~v88(constB55, 0)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28797,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB55)) | (~v88(constB55, 0))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28796, 28795])).
% 28.62/19.14 tff(28798,plain,
% 28.62/19.14 (~v139(constB55)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28797, 27885, 28747])).
% 28.62/19.14 tff(28799,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB55) | v140(constB55) | (~v168(constB55)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB55) | v140(constB55) | (~v168(constB55)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28800,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB55) | v140(constB55) | (~v168(constB55)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28801,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB55) | v140(constB55) | (~v168(constB55))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28800, 28799])).
% 28.62/19.14 tff(28802,plain,
% 28.62/19.14 (~v168(constB55)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28801, 27142, 28798, 28794])).
% 28.62/19.14 tff(28803,plain,
% 28.62/19.14 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB55)) | v168(constB55) | (~v164(constB55)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB55)) | v168(constB55) | (~v164(constB55)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28804,plain,
% 28.62/19.14 (((~v164(constB55)) | v168(constB55) | (~v161(constB55))) <=> ((~v161(constB55)) | v168(constB55) | (~v164(constB55)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28805,plain,
% 28.62/19.14 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB55)) | v168(constB55) | (~v161(constB55)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB55)) | v168(constB55) | (~v164(constB55))))),
% 28.62/19.14 inference(monotonicity,[status(thm)],[28804])).
% 28.62/19.14 tff(28806,plain,
% 28.62/19.14 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB55)) | v168(constB55) | (~v161(constB55)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB55)) | v168(constB55) | (~v164(constB55)))),
% 28.62/19.14 inference(transitivity,[status(thm)],[28805, 28803])).
% 28.62/19.14 tff(28807,plain,
% 28.62/19.14 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB55)) | v168(constB55) | (~v161(constB55)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28808,plain,
% 28.62/19.14 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB55)) | v168(constB55) | (~v164(constB55))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28807, 28806])).
% 28.62/19.14 tff(28809,plain,
% 28.62/19.14 ((~v161(constB55)) | (~v164(constB55))),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28808, 27156, 28802])).
% 28.62/19.14 tff(28810,plain,
% 28.62/19.14 (~v161(constB55)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28809, 28790])).
% 28.62/19.14 tff(28811,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB55) | (~v187(constB55)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB55) | (~v187(constB55)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28812,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB55) | (~v187(constB55)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28813,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB55) | (~v187(constB55))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28812, 28811])).
% 28.62/19.14 tff(28814,plain,
% 28.62/19.14 (~v187(constB55)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28813, 27174, 28810])).
% 28.62/19.14 tff(28815,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB55) | (~v185(constB55)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB55) | (~v185(constB55)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28816,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB55) | (~v185(constB55)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28817,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB55) | (~v185(constB55))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28816, 28815])).
% 28.62/19.14 tff(28818,plain,
% 28.62/19.14 (~v185(constB55)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28817, 27188, 28814])).
% 28.62/19.14 tff(28819,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB55) | v185(constB55) | (~v178(constB55)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB55) | v185(constB55) | (~v178(constB55)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28820,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB55) | v185(constB55) | (~v178(constB55)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28821,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB55) | v185(constB55) | (~v178(constB55))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28820, 28819])).
% 28.62/19.14 tff(28822,plain,
% 28.62/19.14 (v181(constB55) | (~v178(constB55))),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28821, 27314, 28818])).
% 28.62/19.14 tff(28823,plain,
% 28.62/19.14 (~v178(constB55)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28822, 28735])).
% 28.62/19.14 tff(28824,plain,
% 28.62/19.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB55, constB56)) | v178(constB55) | (~v180(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB55, constB56)) | v178(constB55) | (~v180(constB56)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28825,plain,
% 28.62/19.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB55, constB56)) | v178(constB55) | (~v180(constB56)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28826,plain,
% 28.62/19.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB55, constB56)) | v178(constB55) | (~v180(constB56))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28825, 28824])).
% 28.62/19.14 tff(28827,plain,
% 28.62/19.14 (v178(constB55) | (~v180(constB56))),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28826, 27329, 7992])).
% 28.62/19.14 tff(28828,plain,
% 28.62/19.14 (~v180(constB56)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28827, 28823])).
% 28.62/19.14 tff(28829,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB56) | (~v181(constB56)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB56) | (~v181(constB56)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28830,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB56) | (~v181(constB56)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28831,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB56) | (~v181(constB56))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28830, 28829])).
% 28.62/19.14 tff(28832,plain,
% 28.62/19.14 (~v181(constB56)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28831, 27344, 28828])).
% 28.62/19.14 tff(28833,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB56)) | (~v184(constB56)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB56)) | (~v184(constB56)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28834,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB56)) | (~v184(constB56)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28835,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB56)) | (~v184(constB56))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28834, 28833])).
% 28.62/19.14 tff(28836,plain,
% 28.62/19.14 (~v184(constB56)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28835, 59, 8012])).
% 28.62/19.14 tff(28837,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB56) | (~v187(constB56)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB56) | (~v187(constB56)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28838,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB56) | (~v187(constB56)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28839,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB56) | (~v187(constB56))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28838, 28837])).
% 28.62/19.14 tff(28840,plain,
% 28.62/19.14 (~v187(constB56)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28839, 27362, 28836])).
% 28.62/19.14 tff(28841,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB56) | (~v185(constB56)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB56) | (~v185(constB56)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28842,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB56) | (~v185(constB56)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28843,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB56) | (~v185(constB56))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28842, 28841])).
% 28.62/19.14 tff(28844,plain,
% 28.62/19.14 (~v185(constB56)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28843, 27188, 28840])).
% 28.62/19.14 tff(28845,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB56) | v185(constB56) | (~v178(constB56)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB56) | v185(constB56) | (~v178(constB56)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28846,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB56) | v185(constB56) | (~v178(constB56)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28847,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB56) | v185(constB56) | (~v178(constB56))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28846, 28845])).
% 28.62/19.14 tff(28848,plain,
% 28.62/19.14 (v181(constB56) | (~v178(constB56))),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28847, 27314, 28844])).
% 28.62/19.14 tff(28849,plain,
% 28.62/19.14 (~v178(constB56)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28848, 28832])).
% 28.62/19.14 tff(28850,plain,
% 28.62/19.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB56, constB57)) | v178(constB56) | (~v180(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB56, constB57)) | v178(constB56) | (~v180(constB57)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28851,plain,
% 28.62/19.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB56, constB57)) | v178(constB56) | (~v180(constB57)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28852,plain,
% 28.62/19.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB56, constB57)) | v178(constB56) | (~v180(constB57))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28851, 28850])).
% 28.62/19.14 tff(28853,plain,
% 28.62/19.14 (v178(constB56) | (~v180(constB57))),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28852, 27329, 8058])).
% 28.62/19.14 tff(28854,plain,
% 28.62/19.14 (~v180(constB57)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28853, 28849])).
% 28.62/19.14 tff(28855,plain,
% 28.62/19.14 ($false),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28854, 28598])).
% 28.62/19.14 tff(28856,plain,(~(constB57 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.62/19.14 tff(28857,assumption,(constB147 = sK_VarCurr), introduced(assumption)).
% 28.62/19.14 tff(28858,plain,
% 28.62/19.14 (v180(constB147) <=> v180(sK_VarCurr)),
% 28.62/19.14 inference(monotonicity,[status(thm)],[28857])).
% 28.62/19.14 tff(28859,plain,
% 28.62/19.14 (v180(sK_VarCurr) <=> v180(constB147)),
% 28.62/19.14 inference(symmetry,[status(thm)],[28858])).
% 28.62/19.14 tff(28860,plain,
% 28.62/19.14 (v180(constB147)),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[86, 28859])).
% 28.62/19.14 tff(28861,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB145, 0)) | v90(constB145, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB145, 0)) | v90(constB145, 0))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28862,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB145, 0)) | v90(constB145, 0))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28863,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB145, 0)) | v90(constB145, 0)),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28862, 28861])).
% 28.62/19.14 tff(28864,plain,
% 28.62/19.14 (~v88(constB145, 0)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28863, 26990, 21323])).
% 28.62/19.14 tff(28865,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB145, 2)) | v88(constB145, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB145, 2)) | v88(constB145, 2))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28866,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB145, 2)) | v88(constB145, 2))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28867,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB145, 2)) | v88(constB145, 2)),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28866, 28865])).
% 28.62/19.14 tff(28868,plain,
% 28.62/19.14 (v88(constB145, 2)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28867, 27680, 21258])).
% 28.62/19.14 tff(28869,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB145, 1)) | v88(constB145, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB145, 1)) | v88(constB145, 1))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28870,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB145, 1)) | v88(constB145, 1))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28871,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB145, 1)) | v88(constB145, 1)),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28870, 28869])).
% 28.62/19.14 tff(28872,plain,
% 28.62/19.14 (v88(constB145, 1)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28871, 26945, 21289])).
% 28.62/19.14 tff(28873,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB145, 0) | (~v88(constB145, 2)) | (~v88(constB145, 1)) | v144(constB145))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB145, 0) | (~v88(constB145, 2)) | (~v88(constB145, 1)) | v144(constB145))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28874,plain,
% 28.62/19.14 (((~v88(constB145, 2)) | (~v88(constB145, 1)) | v88(constB145, 0) | v144(constB145)) <=> (v88(constB145, 0) | (~v88(constB145, 2)) | (~v88(constB145, 1)) | v144(constB145))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28875,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB145, 2)) | (~v88(constB145, 1)) | v88(constB145, 0) | v144(constB145))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB145, 0) | (~v88(constB145, 2)) | (~v88(constB145, 1)) | v144(constB145)))),
% 28.62/19.14 inference(monotonicity,[status(thm)],[28874])).
% 28.62/19.14 tff(28876,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB145, 2)) | (~v88(constB145, 1)) | v88(constB145, 0) | v144(constB145))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB145, 0) | (~v88(constB145, 2)) | (~v88(constB145, 1)) | v144(constB145))),
% 28.62/19.14 inference(transitivity,[status(thm)],[28875, 28873])).
% 28.62/19.14 tff(28877,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB145, 2)) | (~v88(constB145, 1)) | v88(constB145, 0) | v144(constB145))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28878,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB145, 0) | (~v88(constB145, 2)) | (~v88(constB145, 1)) | v144(constB145)),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28877, 28876])).
% 28.62/19.14 tff(28879,plain,
% 28.62/19.14 (v144(constB145)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28878, 28458, 28872, 28868, 28864])).
% 28.62/19.14 tff(28880,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB145)) | v142(constB145))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB145)) | v142(constB145))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28881,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB145)) | v142(constB145))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28882,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB145)) | v142(constB145)),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28881, 28880])).
% 28.62/19.14 tff(28883,plain,
% 28.62/19.14 (v142(constB145)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28882, 28472, 28879])).
% 28.62/19.14 tff(28884,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB145)) | v165(constB145))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB145)) | v165(constB145))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28885,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB145)) | v165(constB145))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28886,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB145)) | v165(constB145)),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28885, 28884])).
% 28.62/19.14 tff(28887,plain,
% 28.62/19.14 (v165(constB145)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28886, 27075, 28883])).
% 28.62/19.14 tff(28888,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB145) | (~v165(constB145)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB145) | (~v165(constB145)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28889,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB145) | (~v165(constB145)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28890,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB145) | (~v165(constB145))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28889, 28888])).
% 28.62/19.14 tff(28891,plain,
% 28.62/19.14 (v164(constB145)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28890, 27089, 28887])).
% 28.62/19.14 tff(28892,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB145)) | (~v88(constB145, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB145)) | (~v88(constB145, 1)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28893,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB145)) | (~v88(constB145, 1)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28894,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB145)) | (~v88(constB145, 1))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28893, 28892])).
% 28.62/19.14 tff(28895,plain,
% 28.62/19.14 (~v139(constB145)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28894, 27117, 28872])).
% 28.62/19.14 tff(28896,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB145)) | (~v88(constB145, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB145)) | (~v88(constB145, 1)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28897,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB145)) | (~v88(constB145, 1)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28898,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB145)) | (~v88(constB145, 1))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28897, 28896])).
% 28.62/19.14 tff(28899,plain,
% 28.62/19.14 (~v140(constB145)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28898, 27128, 28872])).
% 28.62/19.14 tff(28900,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB145) | v140(constB145) | (~v168(constB145)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB145) | v140(constB145) | (~v168(constB145)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28901,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB145) | v140(constB145) | (~v168(constB145)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28902,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB145) | v140(constB145) | (~v168(constB145))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28901, 28900])).
% 28.62/19.14 tff(28903,plain,
% 28.62/19.14 (~v168(constB145)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28902, 27142, 28899, 28895])).
% 28.62/19.14 tff(28904,plain,
% 28.62/19.14 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB145)) | (~v164(constB145)) | v168(constB145))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB145)) | (~v164(constB145)) | v168(constB145))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28905,plain,
% 28.62/19.14 (((~v164(constB145)) | v168(constB145) | (~v161(constB145))) <=> ((~v161(constB145)) | (~v164(constB145)) | v168(constB145))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28906,plain,
% 28.62/19.14 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB145)) | v168(constB145) | (~v161(constB145)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB145)) | (~v164(constB145)) | v168(constB145)))),
% 28.62/19.14 inference(monotonicity,[status(thm)],[28905])).
% 28.62/19.14 tff(28907,plain,
% 28.62/19.14 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB145)) | v168(constB145) | (~v161(constB145)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB145)) | (~v164(constB145)) | v168(constB145))),
% 28.62/19.14 inference(transitivity,[status(thm)],[28906, 28904])).
% 28.62/19.14 tff(28908,plain,
% 28.62/19.14 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB145)) | v168(constB145) | (~v161(constB145)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28909,plain,
% 28.62/19.14 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB145)) | (~v164(constB145)) | v168(constB145)),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28908, 28907])).
% 28.62/19.14 tff(28910,plain,
% 28.62/19.14 ((~v161(constB145)) | (~v164(constB145))),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28909, 27156, 28903])).
% 28.62/19.14 tff(28911,plain,
% 28.62/19.14 (~v161(constB145)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28910, 28891])).
% 28.62/19.14 tff(28912,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB145) | (~v187(constB145)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB145) | (~v187(constB145)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28913,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB145) | (~v187(constB145)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28914,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB145) | (~v187(constB145))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28913, 28912])).
% 28.62/19.14 tff(28915,plain,
% 28.62/19.14 (~v187(constB145)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28914, 27174, 28911])).
% 28.62/19.14 tff(28916,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB145) | (~v185(constB145)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB145) | (~v185(constB145)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28917,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB145) | (~v185(constB145)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28918,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB145) | (~v185(constB145))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28917, 28916])).
% 28.62/19.14 tff(28919,plain,
% 28.62/19.14 (~v185(constB145)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28918, 27188, 28915])).
% 28.62/19.14 tff(28920,assumption,(v18(constB146)), introduced(assumption)).
% 28.62/19.14 tff(28921,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB146))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28922,plain,
% 28.62/19.14 ($false),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28921, 27200, 28920])).
% 28.62/19.14 tff(28923,plain,(~v18(constB146)), inference(lemma,lemma(discharge,[]))).
% 28.62/19.14 tff(28924,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB146) | (~v1(constB146)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB146) | (~v1(constB146)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28925,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB146) | (~v1(constB146)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28926,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB146) | (~v1(constB146))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28925, 28924])).
% 28.62/19.14 tff(28927,plain,
% 28.62/19.14 (v22(constB146)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28926, 27216, 21376])).
% 28.62/19.14 tff(28928,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB146) | (~v22(constB146)) | (~v19(constB146)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB146) | (~v22(constB146)) | (~v19(constB146)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28929,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB146) | (~v22(constB146)) | (~v19(constB146)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28930,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB146) | (~v22(constB146)) | (~v19(constB146))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28929, 28928])).
% 28.62/19.14 tff(28931,plain,
% 28.62/19.14 (v18(constB146) | (~v19(constB146))),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28930, 27230, 28927])).
% 28.62/19.14 tff(28932,plain,
% 28.62/19.14 (~v19(constB146)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28931, 28923])).
% 28.62/19.14 tff(28933,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB146) | v19(constB146))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB146) | v19(constB146))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28934,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB146) | v19(constB146))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28935,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB146) | v19(constB146)),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28934, 28933])).
% 28.62/19.14 tff(28936,plain,
% 28.62/19.14 (v13(constB146)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28935, 27242, 28932])).
% 28.62/19.14 tff(28937,plain,
% 28.62/19.14 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB145) | (~v13(constB146)) | (~nextState(constB145, constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB145) | (~v13(constB146)) | (~nextState(constB145, constB146)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28938,plain,
% 28.62/19.14 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB145) | (~v13(constB146)) | (~nextState(constB145, constB146)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28939,plain,
% 28.62/19.14 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB145) | (~v13(constB146)) | (~nextState(constB145, constB146))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28938, 28937])).
% 28.62/19.14 tff(28940,plain,
% 28.62/19.14 (v9(constB145) | (~v13(constB146))),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28939, 27259, 21356])).
% 28.62/19.14 tff(28941,plain,
% 28.62/19.14 (v9(constB145)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28940, 28936])).
% 28.62/19.14 tff(28942,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB145) | (~v9(constB145)) | v184(constB145))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB145) | (~v9(constB145)) | v184(constB145))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28943,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB145) | (~v9(constB145)) | v184(constB145))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28944,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB145) | (~v9(constB145)) | v184(constB145)),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28943, 28942])).
% 28.62/19.14 tff(28945,plain,
% 28.62/19.14 ((~v9(constB145)) | v184(constB145)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28944, 27274, 21234])).
% 28.62/19.14 tff(28946,plain,
% 28.62/19.14 (v184(constB145)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28945, 28941])).
% 28.62/19.14 tff(28947,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB145)) | v183(constB145))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB145)) | v183(constB145))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28948,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB145)) | v183(constB145))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28949,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB145)) | v183(constB145)),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28948, 28947])).
% 28.62/19.14 tff(28950,plain,
% 28.62/19.14 (v183(constB145)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28949, 27286, 28946])).
% 28.62/19.14 tff(28951,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB145)) | (~v183(constB145)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB145)) | (~v183(constB145)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28952,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB145)) | (~v183(constB145)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28953,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB145)) | (~v183(constB145))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28952, 28951])).
% 28.62/19.14 tff(28954,plain,
% 28.62/19.14 (~v181(constB145)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28953, 27300, 28950])).
% 28.62/19.14 tff(28955,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB145) | v185(constB145) | (~v178(constB145)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB145) | v185(constB145) | (~v178(constB145)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28956,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB145) | v185(constB145) | (~v178(constB145)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28957,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB145) | v185(constB145) | (~v178(constB145))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28956, 28955])).
% 28.62/19.14 tff(28958,plain,
% 28.62/19.14 (v185(constB145) | (~v178(constB145))),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28957, 27314, 28954])).
% 28.62/19.14 tff(28959,plain,
% 28.62/19.14 (~v178(constB145)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28958, 28919])).
% 28.62/19.14 tff(28960,plain,
% 28.62/19.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB145, constB146)) | v178(constB145) | (~v180(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB145, constB146)) | v178(constB145) | (~v180(constB146)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28961,plain,
% 28.62/19.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB145, constB146)) | v178(constB145) | (~v180(constB146)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28962,plain,
% 28.62/19.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB145, constB146)) | v178(constB145) | (~v180(constB146))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28961, 28960])).
% 28.62/19.14 tff(28963,plain,
% 28.62/19.14 (v178(constB145) | (~v180(constB146))),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28962, 27329, 21356])).
% 28.62/19.14 tff(28964,plain,
% 28.62/19.14 (~v180(constB146)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28963, 28959])).
% 28.62/19.14 tff(28965,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB146) | (~v181(constB146)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB146) | (~v181(constB146)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28966,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB146) | (~v181(constB146)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28967,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB146) | (~v181(constB146))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28966, 28965])).
% 28.62/19.14 tff(28968,plain,
% 28.62/19.14 (~v181(constB146)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28967, 27344, 28964])).
% 28.62/19.14 tff(28969,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB146)) | (~v184(constB146)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB146)) | (~v184(constB146)))),
% 28.62/19.14 inference(rewrite,[status(thm)],[])).
% 28.62/19.14 tff(28970,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB146)) | (~v184(constB146)))),
% 28.62/19.14 inference(quant_inst,[status(thm)],[])).
% 28.62/19.14 tff(28971,plain,
% 28.62/19.14 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB146)) | (~v184(constB146))),
% 28.62/19.14 inference(modus_ponens,[status(thm)],[28970, 28969])).
% 28.62/19.14 tff(28972,plain,
% 28.62/19.14 (~v184(constB146)),
% 28.62/19.14 inference(unit_resolution,[status(thm)],[28971, 59, 21376])).
% 28.62/19.14 tff(28973,plain,
% 28.62/19.14 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB146) | (~v187(constB146)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB146) | (~v187(constB146)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(28974,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB146) | (~v187(constB146)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(28975,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB146) | (~v187(constB146))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[28974, 28973])).
% 28.62/19.15 tff(28976,plain,
% 28.62/19.15 (~v187(constB146)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[28975, 27362, 28972])).
% 28.62/19.15 tff(28977,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB146) | (~v185(constB146)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB146) | (~v185(constB146)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(28978,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB146) | (~v185(constB146)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(28979,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB146) | (~v185(constB146))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[28978, 28977])).
% 28.62/19.15 tff(28980,plain,
% 28.62/19.15 (~v185(constB146)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[28979, 27188, 28976])).
% 28.62/19.15 tff(28981,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB146) | v185(constB146) | (~v178(constB146)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB146) | v185(constB146) | (~v178(constB146)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(28982,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB146) | v185(constB146) | (~v178(constB146)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(28983,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB146) | v185(constB146) | (~v178(constB146))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[28982, 28981])).
% 28.62/19.15 tff(28984,plain,
% 28.62/19.15 (v181(constB146) | (~v178(constB146))),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[28983, 27314, 28980])).
% 28.62/19.15 tff(28985,plain,
% 28.62/19.15 (~v178(constB146)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[28984, 28968])).
% 28.62/19.15 tff(28986,plain,
% 28.62/19.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB146, constB147)) | v178(constB146) | (~v180(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB146, constB147)) | v178(constB146) | (~v180(constB147)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(28987,plain,
% 28.62/19.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB146, constB147)) | v178(constB146) | (~v180(constB147)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(28988,plain,
% 28.62/19.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB146, constB147)) | v178(constB146) | (~v180(constB147))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[28987, 28986])).
% 28.62/19.15 tff(28989,plain,
% 28.62/19.15 (v178(constB146) | (~v180(constB147))),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[28988, 27329, 21442])).
% 28.62/19.15 tff(28990,plain,
% 28.62/19.15 (~v180(constB147)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[28989, 28985])).
% 28.62/19.15 tff(28991,plain,
% 28.62/19.15 ($false),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[28990, 28860])).
% 28.62/19.15 tff(28992,plain,(~(constB147 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.62/19.15 tff(28993,assumption,(constB13 = sK_VarCurr), introduced(assumption)).
% 28.62/19.15 tff(28994,plain,
% 28.62/19.15 (v180(constB13) <=> v180(sK_VarCurr)),
% 28.62/19.15 inference(monotonicity,[status(thm)],[28993])).
% 28.62/19.15 tff(28995,plain,
% 28.62/19.15 (v180(sK_VarCurr) <=> v180(constB13)),
% 28.62/19.15 inference(symmetry,[status(thm)],[28994])).
% 28.62/19.15 tff(28996,plain,
% 28.62/19.15 (v180(constB13)),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[86, 28995])).
% 28.62/19.15 tff(28997,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB11, 2)) | v88(constB11, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB11, 2)) | v88(constB11, 2))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(28998,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB11, 2)) | v88(constB11, 2))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(28999,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB11, 2)) | v88(constB11, 2)),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[28998, 28997])).
% 28.62/19.15 tff(29000,plain,
% 28.62/19.15 (v88(constB11, 2)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[28999, 27680, 1705])).
% 28.62/19.15 tff(29001,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB11)) | (~v88(constB11, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB11)) | (~v88(constB11, 2)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29002,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB11)) | (~v88(constB11, 2)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29003,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB11)) | (~v88(constB11, 2))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29002, 29001])).
% 28.62/19.15 tff(29004,plain,
% 28.62/19.15 (~v140(constB11)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29003, 27702, 29000])).
% 28.62/19.15 tff(29005,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB11, 0)) | v88(constB11, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB11, 0)) | v88(constB11, 0))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29006,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB11, 0)) | v88(constB11, 0))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29007,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB11, 0)) | v88(constB11, 0)),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29006, 29005])).
% 28.62/19.15 tff(29008,plain,
% 28.62/19.15 (v88(constB11, 0)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29007, 27874, 1784])).
% 28.62/19.15 tff(29009,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB11)) | (~v88(constB11, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB11)) | (~v88(constB11, 0)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29010,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB11)) | (~v88(constB11, 0)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29011,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB11)) | (~v88(constB11, 0))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29010, 29009])).
% 28.62/19.15 tff(29012,plain,
% 28.62/19.15 (~v139(constB11)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29011, 27885, 29008])).
% 28.62/19.15 tff(29013,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB11) | v140(constB11) | (~v168(constB11)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB11) | v140(constB11) | (~v168(constB11)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29014,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB11) | v140(constB11) | (~v168(constB11)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29015,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB11) | v140(constB11) | (~v168(constB11))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29014, 29013])).
% 28.62/19.15 tff(29016,plain,
% 28.62/19.15 (~v168(constB11)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29015, 27142, 29012, 29004])).
% 28.62/19.15 tff(29017,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB11, 1)) | v90(constB11, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB11, 1)) | v90(constB11, 1))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29018,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB11, 1)) | v90(constB11, 1))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29019,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB11, 1)) | v90(constB11, 1)),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29018, 29017])).
% 28.62/19.15 tff(29020,plain,
% 28.62/19.15 (~v88(constB11, 1)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29019, 27717, 1746])).
% 28.62/19.15 tff(29021,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (v88(constB11, 1) | (~v88(constB11, 2)) | (~v88(constB11, 0)) | v147(constB11))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB11, 1) | (~v88(constB11, 2)) | (~v88(constB11, 0)) | v147(constB11))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29022,plain,
% 28.62/19.15 (((~v88(constB11, 2)) | v88(constB11, 1) | (~v88(constB11, 0)) | v147(constB11)) <=> (v88(constB11, 1) | (~v88(constB11, 2)) | (~v88(constB11, 0)) | v147(constB11))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29023,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB11, 2)) | v88(constB11, 1) | (~v88(constB11, 0)) | v147(constB11))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (v88(constB11, 1) | (~v88(constB11, 2)) | (~v88(constB11, 0)) | v147(constB11)))),
% 28.62/19.15 inference(monotonicity,[status(thm)],[29022])).
% 28.62/19.15 tff(29024,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB11, 2)) | v88(constB11, 1) | (~v88(constB11, 0)) | v147(constB11))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB11, 1) | (~v88(constB11, 2)) | (~v88(constB11, 0)) | v147(constB11))),
% 28.62/19.15 inference(transitivity,[status(thm)],[29023, 29021])).
% 28.62/19.15 tff(29025,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB11, 2)) | v88(constB11, 1) | (~v88(constB11, 0)) | v147(constB11))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29026,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB11, 1) | (~v88(constB11, 2)) | (~v88(constB11, 0)) | v147(constB11)),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29025, 29024])).
% 28.62/19.15 tff(29027,plain,
% 28.62/19.15 (v147(constB11)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29026, 27907, 29008, 29000, 29020])).
% 28.62/19.15 tff(29028,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB11)) | v145(constB11))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB11)) | v145(constB11))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29029,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB11)) | v145(constB11))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29030,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB11)) | v145(constB11)),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29029, 29028])).
% 28.62/19.15 tff(29031,plain,
% 28.62/19.15 (v145(constB11)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29030, 27921, 29027])).
% 28.62/19.15 tff(29032,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB11) | (~v145(constB11)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB11) | (~v145(constB11)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29033,plain,
% 28.62/19.15 (((~v145(constB11)) | v164(constB11)) <=> (v164(constB11) | (~v145(constB11)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29034,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB11)) | v164(constB11))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB11) | (~v145(constB11))))),
% 28.62/19.15 inference(monotonicity,[status(thm)],[29033])).
% 28.62/19.15 tff(29035,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB11)) | v164(constB11))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB11) | (~v145(constB11)))),
% 28.62/19.15 inference(transitivity,[status(thm)],[29034, 29032])).
% 28.62/19.15 tff(29036,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB11)) | v164(constB11))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29037,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB11) | (~v145(constB11))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29036, 29035])).
% 28.62/19.15 tff(29038,plain,
% 28.62/19.15 (v164(constB11)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29037, 27760, 29031])).
% 28.62/19.15 tff(29039,plain,
% 28.62/19.15 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB11)) | (~v164(constB11)) | v168(constB11))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB11)) | (~v164(constB11)) | v168(constB11))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29040,plain,
% 28.62/19.15 (((~v164(constB11)) | v168(constB11) | (~v161(constB11))) <=> ((~v161(constB11)) | (~v164(constB11)) | v168(constB11))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29041,plain,
% 28.62/19.15 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB11)) | v168(constB11) | (~v161(constB11)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB11)) | (~v164(constB11)) | v168(constB11)))),
% 28.62/19.15 inference(monotonicity,[status(thm)],[29040])).
% 28.62/19.15 tff(29042,plain,
% 28.62/19.15 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB11)) | v168(constB11) | (~v161(constB11)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB11)) | (~v164(constB11)) | v168(constB11))),
% 28.62/19.15 inference(transitivity,[status(thm)],[29041, 29039])).
% 28.62/19.15 tff(29043,plain,
% 28.62/19.15 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB11)) | v168(constB11) | (~v161(constB11)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29044,plain,
% 28.62/19.15 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB11)) | (~v164(constB11)) | v168(constB11)),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29043, 29042])).
% 28.62/19.15 tff(29045,plain,
% 28.62/19.15 (~v161(constB11)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29044, 27156, 29038, 29016])).
% 28.62/19.15 tff(29046,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB11) | (~v187(constB11)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB11) | (~v187(constB11)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29047,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB11) | (~v187(constB11)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29048,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB11) | (~v187(constB11))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29047, 29046])).
% 28.62/19.15 tff(29049,plain,
% 28.62/19.15 (~v187(constB11)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29048, 27174, 29045])).
% 28.62/19.15 tff(29050,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB11) | (~v185(constB11)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB11) | (~v185(constB11)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29051,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB11) | (~v185(constB11)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29052,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB11) | (~v185(constB11))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29051, 29050])).
% 28.62/19.15 tff(29053,plain,
% 28.62/19.15 (~v185(constB11)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29052, 27188, 29049])).
% 28.62/19.15 tff(29054,plain,
% 28.62/19.15 (v127(constB7, 2)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[1502, 114])).
% 28.62/19.15 tff(29055,plain,
% 28.62/19.15 (v129(constB8, 2)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[1517, 29054])).
% 28.62/19.15 tff(29056,plain,
% 28.62/19.15 (v90(constB8, 2) | (~v100(constB8))),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[1534, 1528, 29055])).
% 28.62/19.15 tff(29057,plain,
% 28.62/19.15 (v90(constB8, 2)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29056, 1343])).
% 28.62/19.15 tff(29058,plain,
% 28.62/19.15 (v90(constB9, 2)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[1554, 29057])).
% 28.62/19.15 tff(29059,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB9, 2)) | v88(constB9, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB9, 2)) | v88(constB9, 2))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29060,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB9, 2)) | v88(constB9, 2))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29061,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB9, 2)) | v88(constB9, 2)),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29060, 29059])).
% 28.62/19.15 tff(29062,plain,
% 28.62/19.15 (v88(constB9, 2)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29061, 27680, 29058])).
% 28.62/19.15 tff(29063,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB9)) | (~v88(constB9, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB9)) | (~v88(constB9, 2)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29064,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB9)) | (~v88(constB9, 2)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29065,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB9)) | (~v88(constB9, 2))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29064, 29063])).
% 28.62/19.15 tff(29066,plain,
% 28.62/19.15 (~v139(constB9)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29065, 27691, 29062])).
% 28.62/19.15 tff(29067,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB9)) | (~v88(constB9, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB9)) | (~v88(constB9, 2)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29068,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB9)) | (~v88(constB9, 2)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29069,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB9)) | (~v88(constB9, 2))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29068, 29067])).
% 28.62/19.15 tff(29070,plain,
% 28.62/19.15 (~v140(constB9)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29069, 27702, 29062])).
% 28.62/19.15 tff(29071,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB9) | v140(constB9) | (~v168(constB9)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB9) | v140(constB9) | (~v168(constB9)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29072,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB9) | v140(constB9) | (~v168(constB9)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29073,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB9) | v140(constB9) | (~v168(constB9))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29072, 29071])).
% 28.62/19.15 tff(29074,plain,
% 28.62/19.15 (~v168(constB9)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29073, 27142, 29070, 29066])).
% 28.62/19.15 tff(29075,plain,
% 28.62/19.15 (~v127(constB7, 1)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[1435, 114])).
% 28.62/19.15 tff(29076,plain,
% 28.62/19.15 (~v129(constB8, 1)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[1440, 29075])).
% 28.62/19.15 tff(29077,plain,
% 28.62/19.15 ((~v90(constB8, 1)) | (~v100(constB8))),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[1466, 574, 29076])).
% 28.62/19.15 tff(29078,plain,
% 28.62/19.15 (~v90(constB8, 1)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29077, 1343])).
% 28.62/19.15 tff(29079,plain,
% 28.62/19.15 (~v90(constB9, 1)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[1476, 29078])).
% 28.62/19.15 tff(29080,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB9, 1)) | v90(constB9, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB9, 1)) | v90(constB9, 1))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29081,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB9, 1)) | v90(constB9, 1))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29082,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB9, 1)) | v90(constB9, 1)),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29081, 29080])).
% 28.62/19.15 tff(29083,plain,
% 28.62/19.15 (~v88(constB9, 1)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29082, 27717, 29079])).
% 28.62/19.15 tff(29084,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB9, 0)) | v90(constB9, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB9, 0)) | v90(constB9, 0))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29085,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB9, 0)) | v90(constB9, 0))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29086,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB9, 0)) | v90(constB9, 0)),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29085, 29084])).
% 28.62/19.15 tff(29087,plain,
% 28.62/19.15 (~v88(constB9, 0)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29086, 26990, 1415])).
% 28.62/19.15 tff(29088,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB9, 0) | (~v88(constB9, 2)) | v88(constB9, 1) | v146(constB9))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB9, 0) | (~v88(constB9, 2)) | v88(constB9, 1) | v146(constB9))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29089,plain,
% 28.62/19.15 (((~v88(constB9, 2)) | v88(constB9, 1) | v88(constB9, 0) | v146(constB9)) <=> (v88(constB9, 0) | (~v88(constB9, 2)) | v88(constB9, 1) | v146(constB9))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29090,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB9, 2)) | v88(constB9, 1) | v88(constB9, 0) | v146(constB9))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB9, 0) | (~v88(constB9, 2)) | v88(constB9, 1) | v146(constB9)))),
% 28.62/19.15 inference(monotonicity,[status(thm)],[29089])).
% 28.62/19.15 tff(29091,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB9, 2)) | v88(constB9, 1) | v88(constB9, 0) | v146(constB9))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB9, 0) | (~v88(constB9, 2)) | v88(constB9, 1) | v146(constB9))),
% 28.62/19.15 inference(transitivity,[status(thm)],[29090, 29088])).
% 28.62/19.15 tff(29092,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB9, 2)) | v88(constB9, 1) | v88(constB9, 0) | v146(constB9))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29093,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB9, 0) | (~v88(constB9, 2)) | v88(constB9, 1) | v146(constB9)),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29092, 29091])).
% 28.62/19.15 tff(29094,plain,
% 28.62/19.15 (v146(constB9)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29093, 27735, 29062, 29087, 29083])).
% 28.62/19.15 tff(29095,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB9) | (~v146(constB9)))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB9) | (~v146(constB9)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29096,plain,
% 28.62/19.15 (((~v146(constB9)) | v145(constB9)) <=> (v145(constB9) | (~v146(constB9)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29097,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB9)) | v145(constB9))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB9) | (~v146(constB9))))),
% 28.62/19.15 inference(monotonicity,[status(thm)],[29096])).
% 28.62/19.15 tff(29098,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB9)) | v145(constB9))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB9) | (~v146(constB9)))),
% 28.62/19.15 inference(transitivity,[status(thm)],[29097, 29095])).
% 28.62/19.15 tff(29099,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB9)) | v145(constB9))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29100,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB9) | (~v146(constB9))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29099, 29098])).
% 28.62/19.15 tff(29101,plain,
% 28.62/19.15 (v145(constB9)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29100, 27749, 29094])).
% 28.62/19.15 tff(29102,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB9) | (~v145(constB9)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB9) | (~v145(constB9)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29103,plain,
% 28.62/19.15 (((~v145(constB9)) | v164(constB9)) <=> (v164(constB9) | (~v145(constB9)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29104,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB9)) | v164(constB9))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB9) | (~v145(constB9))))),
% 28.62/19.15 inference(monotonicity,[status(thm)],[29103])).
% 28.62/19.15 tff(29105,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB9)) | v164(constB9))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB9) | (~v145(constB9)))),
% 28.62/19.15 inference(transitivity,[status(thm)],[29104, 29102])).
% 28.62/19.15 tff(29106,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB9)) | v164(constB9))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29107,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB9) | (~v145(constB9))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29106, 29105])).
% 28.62/19.15 tff(29108,plain,
% 28.62/19.15 (v164(constB9)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29107, 27760, 29101])).
% 28.62/19.15 tff(29109,plain,
% 28.62/19.15 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB9)) | v168(constB9) | (~v164(constB9)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB9)) | v168(constB9) | (~v164(constB9)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29110,plain,
% 28.62/19.15 (((~v164(constB9)) | v168(constB9) | (~v161(constB9))) <=> ((~v161(constB9)) | v168(constB9) | (~v164(constB9)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29111,plain,
% 28.62/19.15 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB9)) | v168(constB9) | (~v161(constB9)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB9)) | v168(constB9) | (~v164(constB9))))),
% 28.62/19.15 inference(monotonicity,[status(thm)],[29110])).
% 28.62/19.15 tff(29112,plain,
% 28.62/19.15 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB9)) | v168(constB9) | (~v161(constB9)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB9)) | v168(constB9) | (~v164(constB9)))),
% 28.62/19.15 inference(transitivity,[status(thm)],[29111, 29109])).
% 28.62/19.15 tff(29113,plain,
% 28.62/19.15 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB9)) | v168(constB9) | (~v161(constB9)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29114,plain,
% 28.62/19.15 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB9)) | v168(constB9) | (~v164(constB9))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29113, 29112])).
% 28.62/19.15 tff(29115,plain,
% 28.62/19.15 (~v161(constB9)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29114, 27156, 29108, 29074])).
% 28.62/19.15 tff(29116,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB9) | (~v187(constB9)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB9) | (~v187(constB9)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29117,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB9) | (~v187(constB9)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29118,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB9) | (~v187(constB9))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29117, 29116])).
% 28.62/19.15 tff(29119,plain,
% 28.62/19.15 (~v187(constB9)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29118, 27174, 29115])).
% 28.62/19.15 tff(29120,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB9) | (~v185(constB9)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB9) | (~v185(constB9)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29121,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB9) | (~v185(constB9)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29122,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB9) | (~v185(constB9))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29121, 29120])).
% 28.62/19.15 tff(29123,plain,
% 28.62/19.15 (~v185(constB9)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29122, 27188, 29119])).
% 28.62/19.15 tff(29124,assumption,(v18(constB10)), introduced(assumption)).
% 28.62/19.15 tff(29125,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB10))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29126,plain,
% 28.62/19.15 ($false),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29125, 27200, 29124])).
% 28.62/19.15 tff(29127,plain,(~v18(constB10)), inference(lemma,lemma(discharge,[]))).
% 28.62/19.15 tff(29128,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB10) | (~v1(constB10)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB10) | (~v1(constB10)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29129,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB10) | (~v1(constB10)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29130,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB10) | (~v1(constB10))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29129, 29128])).
% 28.62/19.15 tff(29131,plain,
% 28.62/19.15 (v22(constB10)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29130, 27216, 1635])).
% 28.62/19.15 tff(29132,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB10) | (~v22(constB10)) | (~v19(constB10)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB10) | (~v22(constB10)) | (~v19(constB10)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29133,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB10) | (~v22(constB10)) | (~v19(constB10)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29134,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB10) | (~v22(constB10)) | (~v19(constB10))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29133, 29132])).
% 28.62/19.15 tff(29135,plain,
% 28.62/19.15 (v18(constB10) | (~v19(constB10))),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29134, 27230, 29131])).
% 28.62/19.15 tff(29136,plain,
% 28.62/19.15 (~v19(constB10)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29135, 29127])).
% 28.62/19.15 tff(29137,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB10) | v19(constB10))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB10) | v19(constB10))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29138,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB10) | v19(constB10))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29139,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB10) | v19(constB10)),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29138, 29137])).
% 28.62/19.15 tff(29140,plain,
% 28.62/19.15 (v13(constB10)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29139, 27242, 29136])).
% 28.62/19.15 tff(29141,plain,
% 28.62/19.15 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB9) | (~v13(constB10)) | (~nextState(constB9, constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB9) | (~v13(constB10)) | (~nextState(constB9, constB10)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29142,plain,
% 28.62/19.15 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB9) | (~v13(constB10)) | (~nextState(constB9, constB10)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29143,plain,
% 28.62/19.15 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB9) | (~v13(constB10)) | (~nextState(constB9, constB10))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29142, 29141])).
% 28.62/19.15 tff(29144,plain,
% 28.62/19.15 (v9(constB9) | (~v13(constB10))),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29143, 27259, 1615])).
% 28.62/19.15 tff(29145,plain,
% 28.62/19.15 (v9(constB9)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29144, 29140])).
% 28.62/19.15 tff(29146,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB9) | (~v9(constB9)) | v184(constB9))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB9) | (~v9(constB9)) | v184(constB9))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29147,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB9) | (~v9(constB9)) | v184(constB9))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29148,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB9) | (~v9(constB9)) | v184(constB9)),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29147, 29146])).
% 28.62/19.15 tff(29149,plain,
% 28.62/19.15 ((~v9(constB9)) | v184(constB9)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29148, 27274, 1391])).
% 28.62/19.15 tff(29150,plain,
% 28.62/19.15 (v184(constB9)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29149, 29145])).
% 28.62/19.15 tff(29151,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB9)) | v183(constB9))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB9)) | v183(constB9))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29152,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB9)) | v183(constB9))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29153,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB9)) | v183(constB9)),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29152, 29151])).
% 28.62/19.15 tff(29154,plain,
% 28.62/19.15 (v183(constB9)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29153, 27286, 29150])).
% 28.62/19.15 tff(29155,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB9)) | (~v183(constB9)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB9)) | (~v183(constB9)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29156,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB9)) | (~v183(constB9)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29157,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB9)) | (~v183(constB9))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29156, 29155])).
% 28.62/19.15 tff(29158,plain,
% 28.62/19.15 (~v181(constB9)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29157, 27300, 29154])).
% 28.62/19.15 tff(29159,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB9) | v185(constB9) | (~v178(constB9)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB9) | v185(constB9) | (~v178(constB9)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29160,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB9) | v185(constB9) | (~v178(constB9)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29161,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB9) | v185(constB9) | (~v178(constB9))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29160, 29159])).
% 28.62/19.15 tff(29162,plain,
% 28.62/19.15 (v185(constB9) | (~v178(constB9))),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29161, 27314, 29158])).
% 28.62/19.15 tff(29163,plain,
% 28.62/19.15 (~v178(constB9)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29162, 29123])).
% 28.62/19.15 tff(29164,plain,
% 28.62/19.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB9, constB10)) | v178(constB9) | (~v180(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB9, constB10)) | v178(constB9) | (~v180(constB10)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29165,plain,
% 28.62/19.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB9, constB10)) | v178(constB9) | (~v180(constB10)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29166,plain,
% 28.62/19.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB9, constB10)) | v178(constB9) | (~v180(constB10))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29165, 29164])).
% 28.62/19.15 tff(29167,plain,
% 28.62/19.15 (v178(constB9) | (~v180(constB10))),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29166, 27329, 1615])).
% 28.62/19.15 tff(29168,plain,
% 28.62/19.15 (~v180(constB10)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29167, 29163])).
% 28.62/19.15 tff(29169,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB10) | (~v181(constB10)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB10) | (~v181(constB10)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29170,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB10) | (~v181(constB10)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29171,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB10) | (~v181(constB10))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29170, 29169])).
% 28.62/19.15 tff(29172,plain,
% 28.62/19.15 (~v181(constB10)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29171, 27344, 29168])).
% 28.62/19.15 tff(29173,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB10)) | (~v184(constB10)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB10)) | (~v184(constB10)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29174,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB10)) | (~v184(constB10)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29175,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB10)) | (~v184(constB10))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29174, 29173])).
% 28.62/19.15 tff(29176,plain,
% 28.62/19.15 (~v184(constB10)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29175, 59, 1635])).
% 28.62/19.15 tff(29177,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB10) | (~v187(constB10)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB10) | (~v187(constB10)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29178,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB10) | (~v187(constB10)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29179,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB10) | (~v187(constB10))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29178, 29177])).
% 28.62/19.15 tff(29180,plain,
% 28.62/19.15 (~v187(constB10)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29179, 27362, 29176])).
% 28.62/19.15 tff(29181,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB10) | (~v185(constB10)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB10) | (~v185(constB10)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29182,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB10) | (~v185(constB10)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29183,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB10) | (~v185(constB10))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29182, 29181])).
% 28.62/19.15 tff(29184,plain,
% 28.62/19.15 (~v185(constB10)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29183, 27188, 29180])).
% 28.62/19.15 tff(29185,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB10) | v185(constB10) | (~v178(constB10)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB10) | v185(constB10) | (~v178(constB10)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29186,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB10) | v185(constB10) | (~v178(constB10)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29187,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB10) | v185(constB10) | (~v178(constB10))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29186, 29185])).
% 28.62/19.15 tff(29188,plain,
% 28.62/19.15 (v181(constB10) | (~v178(constB10))),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29187, 27314, 29184])).
% 28.62/19.15 tff(29189,plain,
% 28.62/19.15 (~v178(constB10)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29188, 29172])).
% 28.62/19.15 tff(29190,plain,
% 28.62/19.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB10, constB11)) | v178(constB10) | (~v180(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB10, constB11)) | v178(constB10) | (~v180(constB11)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29191,plain,
% 28.62/19.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB10, constB11)) | v178(constB10) | (~v180(constB11)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29192,plain,
% 28.62/19.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB10, constB11)) | v178(constB10) | (~v180(constB11))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29191, 29190])).
% 28.62/19.15 tff(29193,plain,
% 28.62/19.15 (v178(constB10) | (~v180(constB11))),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29192, 27329, 1684])).
% 28.62/19.15 tff(29194,plain,
% 28.62/19.15 (~v180(constB11)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29193, 29189])).
% 28.62/19.15 tff(29195,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB11) | (~v181(constB11)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB11) | (~v181(constB11)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29196,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB11) | (~v181(constB11)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29197,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB11) | (~v181(constB11))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29196, 29195])).
% 28.62/19.15 tff(29198,plain,
% 28.62/19.15 (~v181(constB11)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29197, 27344, 29194])).
% 28.62/19.15 tff(29199,plain,
% 28.62/19.15 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB11) | v185(constB11) | (~v178(constB11)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB11) | v185(constB11) | (~v178(constB11)))),
% 28.62/19.15 inference(rewrite,[status(thm)],[])).
% 28.62/19.15 tff(29200,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB11) | v185(constB11) | (~v178(constB11)))),
% 28.62/19.15 inference(quant_inst,[status(thm)],[])).
% 28.62/19.15 tff(29201,plain,
% 28.62/19.15 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB11) | v185(constB11) | (~v178(constB11))),
% 28.62/19.15 inference(modus_ponens,[status(thm)],[29200, 29199])).
% 28.62/19.15 tff(29202,plain,
% 28.62/19.15 (v185(constB11) | (~v178(constB11))),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29201, 27314, 29198])).
% 28.62/19.15 tff(29203,plain,
% 28.62/19.15 (~v178(constB11)),
% 28.62/19.15 inference(unit_resolution,[status(thm)],[29202, 29053])).
% 28.62/19.15 tff(29204,plain,
% 28.62/19.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB11, constB12)) | v178(constB11) | (~v180(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB11, constB12)) | v178(constB11) | (~v180(constB12)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29205,plain,
% 28.62/19.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB11, constB12)) | v178(constB11) | (~v180(constB12)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29206,plain,
% 28.62/19.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB11, constB12)) | v178(constB11) | (~v180(constB12))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29205, 29204])).
% 28.62/19.16 tff(29207,plain,
% 28.62/19.16 (v178(constB11) | (~v180(constB12))),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29206, 27329, 1832])).
% 28.62/19.16 tff(29208,plain,
% 28.62/19.16 (~v180(constB12)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29207, 29203])).
% 28.62/19.16 tff(29209,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB12) | (~v181(constB12)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB12) | (~v181(constB12)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29210,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB12) | (~v181(constB12)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29211,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB12) | (~v181(constB12))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29210, 29209])).
% 28.62/19.16 tff(29212,plain,
% 28.62/19.16 (~v181(constB12)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29211, 27344, 29208])).
% 28.62/19.16 tff(29213,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB12)) | (~v184(constB12)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB12)) | (~v184(constB12)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29214,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB12)) | (~v184(constB12)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29215,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB12)) | (~v184(constB12))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29214, 29213])).
% 28.62/19.16 tff(29216,plain,
% 28.62/19.16 (~v184(constB12)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29215, 59, 1852])).
% 28.62/19.16 tff(29217,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB12) | (~v187(constB12)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB12) | (~v187(constB12)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29218,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB12) | (~v187(constB12)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29219,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB12) | (~v187(constB12))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29218, 29217])).
% 28.62/19.16 tff(29220,plain,
% 28.62/19.16 (~v187(constB12)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29219, 27362, 29216])).
% 28.62/19.16 tff(29221,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB12) | (~v185(constB12)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB12) | (~v185(constB12)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29222,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB12) | (~v185(constB12)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29223,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB12) | (~v185(constB12))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29222, 29221])).
% 28.62/19.16 tff(29224,plain,
% 28.62/19.16 (~v185(constB12)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29223, 27188, 29220])).
% 28.62/19.16 tff(29225,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB12) | v185(constB12) | (~v178(constB12)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB12) | v185(constB12) | (~v178(constB12)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29226,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB12) | v185(constB12) | (~v178(constB12)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29227,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB12) | v185(constB12) | (~v178(constB12))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29226, 29225])).
% 28.62/19.16 tff(29228,plain,
% 28.62/19.16 (v181(constB12) | (~v178(constB12))),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29227, 27314, 29224])).
% 28.62/19.16 tff(29229,plain,
% 28.62/19.16 (~v178(constB12)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29228, 29212])).
% 28.62/19.16 tff(29230,plain,
% 28.62/19.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB12, constB13)) | v178(constB12) | (~v180(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB12, constB13)) | v178(constB12) | (~v180(constB13)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29231,plain,
% 28.62/19.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB12, constB13)) | v178(constB12) | (~v180(constB13)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29232,plain,
% 28.62/19.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB12, constB13)) | v178(constB12) | (~v180(constB13))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29231, 29230])).
% 28.62/19.16 tff(29233,plain,
% 28.62/19.16 (v178(constB12) | (~v180(constB13))),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29232, 27329, 1901])).
% 28.62/19.16 tff(29234,plain,
% 28.62/19.16 (~v180(constB13)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29233, 29229])).
% 28.62/19.16 tff(29235,plain,
% 28.62/19.16 ($false),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29234, 28996])).
% 28.62/19.16 tff(29236,plain,(~(constB13 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.62/19.16 tff(29237,assumption,(constB22 = sK_VarCurr), introduced(assumption)).
% 28.62/19.16 tff(29238,plain,
% 28.62/19.16 (v1(constB22) <=> v1(sK_VarCurr)),
% 28.62/19.16 inference(monotonicity,[status(thm)],[29237])).
% 28.62/19.16 tff(29239,plain,
% 28.62/19.16 (v1(sK_VarCurr) <=> v1(constB22)),
% 28.62/19.16 inference(symmetry,[status(thm)],[29238])).
% 28.62/19.16 tff(29240,plain,
% 28.62/19.16 ((~v1(sK_VarCurr)) <=> (~v1(constB22))),
% 28.62/19.16 inference(monotonicity,[status(thm)],[29239])).
% 28.62/19.16 tff(29241,plain,
% 28.62/19.16 (~v1(constB22)),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[63, 29240])).
% 28.62/19.16 tff(29242,plain,
% 28.62/19.16 ($false),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[2970, 29241])).
% 28.62/19.16 tff(29243,plain,(~(constB22 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.62/19.16 tff(29244,assumption,(constB51 = sK_VarCurr), introduced(assumption)).
% 28.62/19.16 tff(29245,plain,
% 28.62/19.16 (v180(constB51) <=> v180(sK_VarCurr)),
% 28.62/19.16 inference(monotonicity,[status(thm)],[29244])).
% 28.62/19.16 tff(29246,plain,
% 28.62/19.16 (v180(sK_VarCurr) <=> v180(constB51)),
% 28.62/19.16 inference(symmetry,[status(thm)],[29245])).
% 28.62/19.16 tff(29247,plain,
% 28.62/19.16 (v180(constB51)),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[86, 29246])).
% 28.62/19.16 tff(29248,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB49, 0)) | v90(constB49, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB49, 0)) | v90(constB49, 0))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29249,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB49, 0)) | v90(constB49, 0))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29250,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB49, 0)) | v90(constB49, 0)),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29249, 29248])).
% 28.62/19.16 tff(29251,plain,
% 28.62/19.16 (~v88(constB49, 0)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29250, 26990, 7362])).
% 28.62/19.16 tff(29252,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB49, 2)) | v88(constB49, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB49, 2)) | v88(constB49, 2))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29253,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB49, 2)) | v88(constB49, 2))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29254,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB49, 2)) | v88(constB49, 2)),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29253, 29252])).
% 28.62/19.16 tff(29255,plain,
% 28.62/19.16 (v88(constB49, 2)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29254, 27680, 7249])).
% 28.62/19.16 tff(29256,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB49, 1)) | v88(constB49, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB49, 1)) | v88(constB49, 1))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29257,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB49, 1)) | v88(constB49, 1))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29258,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB49, 1)) | v88(constB49, 1)),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29257, 29256])).
% 28.62/19.16 tff(29259,plain,
% 28.62/19.16 (v88(constB49, 1)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29258, 26945, 7288])).
% 28.62/19.16 tff(29260,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB49, 2)) | v144(constB49) | v88(constB49, 0) | (~v88(constB49, 1)))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB49, 2)) | v144(constB49) | v88(constB49, 0) | (~v88(constB49, 1)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29261,plain,
% 28.62/19.16 (((~v88(constB49, 2)) | (~v88(constB49, 1)) | v88(constB49, 0) | v144(constB49)) <=> ((~v88(constB49, 2)) | v144(constB49) | v88(constB49, 0) | (~v88(constB49, 1)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29262,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB49, 2)) | (~v88(constB49, 1)) | v88(constB49, 0) | v144(constB49))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB49, 2)) | v144(constB49) | v88(constB49, 0) | (~v88(constB49, 1))))),
% 28.62/19.16 inference(monotonicity,[status(thm)],[29261])).
% 28.62/19.16 tff(29263,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB49, 2)) | (~v88(constB49, 1)) | v88(constB49, 0) | v144(constB49))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB49, 2)) | v144(constB49) | v88(constB49, 0) | (~v88(constB49, 1)))),
% 28.62/19.16 inference(transitivity,[status(thm)],[29262, 29260])).
% 28.62/19.16 tff(29264,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB49, 2)) | (~v88(constB49, 1)) | v88(constB49, 0) | v144(constB49))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29265,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB49, 2)) | v144(constB49) | v88(constB49, 0) | (~v88(constB49, 1))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29264, 29263])).
% 28.62/19.16 tff(29266,plain,
% 28.62/19.16 (v144(constB49)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29265, 28458, 29259, 29255, 29251])).
% 28.62/19.16 tff(29267,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB49)) | v142(constB49))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB49)) | v142(constB49))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29268,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB49)) | v142(constB49))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29269,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB49)) | v142(constB49)),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29268, 29267])).
% 28.62/19.16 tff(29270,plain,
% 28.62/19.16 (v142(constB49)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29269, 28472, 29266])).
% 28.62/19.16 tff(29271,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB49)) | v165(constB49))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB49)) | v165(constB49))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29272,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB49)) | v165(constB49))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29273,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB49)) | v165(constB49)),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29272, 29271])).
% 28.62/19.16 tff(29274,plain,
% 28.62/19.16 (v165(constB49)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29273, 27075, 29270])).
% 28.62/19.16 tff(29275,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB49) | (~v165(constB49)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB49) | (~v165(constB49)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29276,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB49) | (~v165(constB49)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29277,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB49) | (~v165(constB49))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29276, 29275])).
% 28.62/19.16 tff(29278,plain,
% 28.62/19.16 (v164(constB49)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29277, 27089, 29274])).
% 28.62/19.16 tff(29279,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB49)) | (~v88(constB49, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB49)) | (~v88(constB49, 1)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29280,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB49)) | (~v88(constB49, 1)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29281,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB49)) | (~v88(constB49, 1))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29280, 29279])).
% 28.62/19.16 tff(29282,plain,
% 28.62/19.16 (~v139(constB49)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29281, 27117, 29259])).
% 28.62/19.16 tff(29283,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB49)) | (~v88(constB49, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB49)) | (~v88(constB49, 1)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29284,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB49)) | (~v88(constB49, 1)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29285,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB49)) | (~v88(constB49, 1))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29284, 29283])).
% 28.62/19.16 tff(29286,plain,
% 28.62/19.16 (~v140(constB49)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29285, 27128, 29259])).
% 28.62/19.16 tff(29287,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB49) | v140(constB49) | (~v168(constB49)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB49) | v140(constB49) | (~v168(constB49)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29288,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB49) | v140(constB49) | (~v168(constB49)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29289,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB49) | v140(constB49) | (~v168(constB49))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29288, 29287])).
% 28.62/19.16 tff(29290,plain,
% 28.62/19.16 (~v168(constB49)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29289, 27142, 29286, 29282])).
% 28.62/19.16 tff(29291,plain,
% 28.62/19.16 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB49)) | v168(constB49) | (~v164(constB49)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB49)) | v168(constB49) | (~v164(constB49)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29292,plain,
% 28.62/19.16 (((~v164(constB49)) | v168(constB49) | (~v161(constB49))) <=> ((~v161(constB49)) | v168(constB49) | (~v164(constB49)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29293,plain,
% 28.62/19.16 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB49)) | v168(constB49) | (~v161(constB49)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB49)) | v168(constB49) | (~v164(constB49))))),
% 28.62/19.16 inference(monotonicity,[status(thm)],[29292])).
% 28.62/19.16 tff(29294,plain,
% 28.62/19.16 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB49)) | v168(constB49) | (~v161(constB49)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB49)) | v168(constB49) | (~v164(constB49)))),
% 28.62/19.16 inference(transitivity,[status(thm)],[29293, 29291])).
% 28.62/19.16 tff(29295,plain,
% 28.62/19.16 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB49)) | v168(constB49) | (~v161(constB49)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29296,plain,
% 28.62/19.16 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB49)) | v168(constB49) | (~v164(constB49))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29295, 29294])).
% 28.62/19.16 tff(29297,plain,
% 28.62/19.16 ((~v161(constB49)) | (~v164(constB49))),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29296, 27156, 29290])).
% 28.62/19.16 tff(29298,plain,
% 28.62/19.16 (~v161(constB49)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29297, 29278])).
% 28.62/19.16 tff(29299,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB49) | (~v187(constB49)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB49) | (~v187(constB49)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29300,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB49) | (~v187(constB49)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29301,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB49) | (~v187(constB49))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29300, 29299])).
% 28.62/19.16 tff(29302,plain,
% 28.62/19.16 (~v187(constB49)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29301, 27174, 29298])).
% 28.62/19.16 tff(29303,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB49) | (~v185(constB49)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB49) | (~v185(constB49)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29304,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB49) | (~v185(constB49)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29305,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB49) | (~v185(constB49))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29304, 29303])).
% 28.62/19.16 tff(29306,plain,
% 28.62/19.16 (~v185(constB49)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29305, 27188, 29302])).
% 28.62/19.16 tff(29307,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB47, 2)) | v88(constB47, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB47, 2)) | v88(constB47, 2))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29308,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB47, 2)) | v88(constB47, 2))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29309,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB47, 2)) | v88(constB47, 2)),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29308, 29307])).
% 28.62/19.16 tff(29310,plain,
% 28.62/19.16 (v88(constB47, 2)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29309, 27680, 7050])).
% 28.62/19.16 tff(29311,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB47)) | (~v88(constB47, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB47)) | (~v88(constB47, 2)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29312,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB47)) | (~v88(constB47, 2)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29313,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB47)) | (~v88(constB47, 2))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29312, 29311])).
% 28.62/19.16 tff(29314,plain,
% 28.62/19.16 (~v140(constB47)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29313, 27702, 29310])).
% 28.62/19.16 tff(29315,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB47, 0)) | v88(constB47, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB47, 0)) | v88(constB47, 0))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29316,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB47, 0)) | v88(constB47, 0))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29317,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB47, 0)) | v88(constB47, 0)),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29316, 29315])).
% 28.62/19.16 tff(29318,plain,
% 28.62/19.16 (v88(constB47, 0)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29317, 27874, 7115])).
% 28.62/19.16 tff(29319,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB47)) | (~v88(constB47, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB47)) | (~v88(constB47, 0)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29320,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB47)) | (~v88(constB47, 0)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29321,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB47)) | (~v88(constB47, 0))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29320, 29319])).
% 28.62/19.16 tff(29322,plain,
% 28.62/19.16 (~v139(constB47)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29321, 27885, 29318])).
% 28.62/19.16 tff(29323,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB47) | v140(constB47) | (~v168(constB47)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB47) | v140(constB47) | (~v168(constB47)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29324,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB47) | v140(constB47) | (~v168(constB47)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29325,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB47) | v140(constB47) | (~v168(constB47))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29324, 29323])).
% 28.62/19.16 tff(29326,plain,
% 28.62/19.16 (~v168(constB47)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29325, 27142, 29322, 29314])).
% 28.62/19.16 tff(29327,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB47, 1)) | v90(constB47, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB47, 1)) | v90(constB47, 1))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29328,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB47, 1)) | v90(constB47, 1))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29329,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB47, 1)) | v90(constB47, 1)),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29328, 29327])).
% 28.62/19.16 tff(29330,plain,
% 28.62/19.16 (~v88(constB47, 1)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29329, 27717, 7084])).
% 28.62/19.16 tff(29331,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB47, 0)) | v88(constB47, 1) | (~v88(constB47, 2)) | v147(constB47))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB47, 0)) | v88(constB47, 1) | (~v88(constB47, 2)) | v147(constB47))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29332,plain,
% 28.62/19.16 (((~v88(constB47, 2)) | v88(constB47, 1) | (~v88(constB47, 0)) | v147(constB47)) <=> ((~v88(constB47, 0)) | v88(constB47, 1) | (~v88(constB47, 2)) | v147(constB47))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29333,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB47, 2)) | v88(constB47, 1) | (~v88(constB47, 0)) | v147(constB47))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB47, 0)) | v88(constB47, 1) | (~v88(constB47, 2)) | v147(constB47)))),
% 28.62/19.16 inference(monotonicity,[status(thm)],[29332])).
% 28.62/19.16 tff(29334,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB47, 2)) | v88(constB47, 1) | (~v88(constB47, 0)) | v147(constB47))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB47, 0)) | v88(constB47, 1) | (~v88(constB47, 2)) | v147(constB47))),
% 28.62/19.16 inference(transitivity,[status(thm)],[29333, 29331])).
% 28.62/19.16 tff(29335,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB47, 2)) | v88(constB47, 1) | (~v88(constB47, 0)) | v147(constB47))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29336,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB47, 0)) | v88(constB47, 1) | (~v88(constB47, 2)) | v147(constB47)),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29335, 29334])).
% 28.62/19.16 tff(29337,plain,
% 28.62/19.16 (v147(constB47)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29336, 27907, 29318, 29310, 29330])).
% 28.62/19.16 tff(29338,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB47)) | v145(constB47))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB47)) | v145(constB47))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29339,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB47)) | v145(constB47))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29340,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB47)) | v145(constB47)),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29339, 29338])).
% 28.62/19.16 tff(29341,plain,
% 28.62/19.16 (v145(constB47)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29340, 27921, 29337])).
% 28.62/19.16 tff(29342,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB47) | (~v145(constB47)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB47) | (~v145(constB47)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29343,plain,
% 28.62/19.16 (((~v145(constB47)) | v164(constB47)) <=> (v164(constB47) | (~v145(constB47)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29344,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB47)) | v164(constB47))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB47) | (~v145(constB47))))),
% 28.62/19.16 inference(monotonicity,[status(thm)],[29343])).
% 28.62/19.16 tff(29345,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB47)) | v164(constB47))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB47) | (~v145(constB47)))),
% 28.62/19.16 inference(transitivity,[status(thm)],[29344, 29342])).
% 28.62/19.16 tff(29346,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB47)) | v164(constB47))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29347,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB47) | (~v145(constB47))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29346, 29345])).
% 28.62/19.16 tff(29348,plain,
% 28.62/19.16 (v164(constB47)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29347, 27760, 29341])).
% 28.62/19.16 tff(29349,plain,
% 28.62/19.16 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB47)) | v168(constB47) | (~v164(constB47)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB47)) | v168(constB47) | (~v164(constB47)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29350,plain,
% 28.62/19.16 (((~v164(constB47)) | v168(constB47) | (~v161(constB47))) <=> ((~v161(constB47)) | v168(constB47) | (~v164(constB47)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29351,plain,
% 28.62/19.16 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB47)) | v168(constB47) | (~v161(constB47)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB47)) | v168(constB47) | (~v164(constB47))))),
% 28.62/19.16 inference(monotonicity,[status(thm)],[29350])).
% 28.62/19.16 tff(29352,plain,
% 28.62/19.16 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB47)) | v168(constB47) | (~v161(constB47)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB47)) | v168(constB47) | (~v164(constB47)))),
% 28.62/19.16 inference(transitivity,[status(thm)],[29351, 29349])).
% 28.62/19.16 tff(29353,plain,
% 28.62/19.16 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB47)) | v168(constB47) | (~v161(constB47)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29354,plain,
% 28.62/19.16 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB47)) | v168(constB47) | (~v164(constB47))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29353, 29352])).
% 28.62/19.16 tff(29355,plain,
% 28.62/19.16 (~v161(constB47)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29354, 27156, 29348, 29326])).
% 28.62/19.16 tff(29356,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB47) | (~v187(constB47)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB47) | (~v187(constB47)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29357,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB47) | (~v187(constB47)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29358,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB47) | (~v187(constB47))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29357, 29356])).
% 28.62/19.16 tff(29359,plain,
% 28.62/19.16 (~v187(constB47)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29358, 27174, 29355])).
% 28.62/19.16 tff(29360,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB47) | (~v185(constB47)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB47) | (~v185(constB47)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29361,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB47) | (~v185(constB47)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29362,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB47) | (~v185(constB47))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29361, 29360])).
% 28.62/19.16 tff(29363,plain,
% 28.62/19.16 (~v185(constB47)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29362, 27188, 29359])).
% 28.62/19.16 tff(29364,assumption,(v18(constB48)), introduced(assumption)).
% 28.62/19.16 tff(29365,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB48))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29366,plain,
% 28.62/19.16 ($false),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29365, 27200, 29364])).
% 28.62/19.16 tff(29367,plain,(~v18(constB48)), inference(lemma,lemma(discharge,[]))).
% 28.62/19.16 tff(29368,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB48) | (~v1(constB48)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB48) | (~v1(constB48)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29369,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB48) | (~v1(constB48)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29370,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB48) | (~v1(constB48))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29369, 29368])).
% 28.62/19.16 tff(29371,plain,
% 28.62/19.16 (v22(constB48)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29370, 27216, 7182])).
% 28.62/19.16 tff(29372,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB48) | (~v22(constB48)) | (~v19(constB48)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB48) | (~v22(constB48)) | (~v19(constB48)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29373,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB48) | (~v22(constB48)) | (~v19(constB48)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29374,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB48) | (~v22(constB48)) | (~v19(constB48))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29373, 29372])).
% 28.62/19.16 tff(29375,plain,
% 28.62/19.16 (v18(constB48) | (~v19(constB48))),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29374, 27230, 29371])).
% 28.62/19.16 tff(29376,plain,
% 28.62/19.16 (~v19(constB48)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29375, 29367])).
% 28.62/19.16 tff(29377,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB48) | v19(constB48))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB48) | v19(constB48))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29378,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB48) | v19(constB48))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29379,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB48) | v19(constB48)),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29378, 29377])).
% 28.62/19.16 tff(29380,plain,
% 28.62/19.16 (v13(constB48)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29379, 27242, 29376])).
% 28.62/19.16 tff(29381,plain,
% 28.62/19.16 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB47) | (~v13(constB48)) | (~nextState(constB47, constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB47) | (~v13(constB48)) | (~nextState(constB47, constB48)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29382,plain,
% 28.62/19.16 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB47) | (~v13(constB48)) | (~nextState(constB47, constB48)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29383,plain,
% 28.62/19.16 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB47) | (~v13(constB48)) | (~nextState(constB47, constB48))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29382, 29381])).
% 28.62/19.16 tff(29384,plain,
% 28.62/19.16 (v9(constB47) | (~v13(constB48))),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29383, 27259, 7162])).
% 28.62/19.16 tff(29385,plain,
% 28.62/19.16 (v9(constB47)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29384, 29380])).
% 28.62/19.16 tff(29386,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB47) | (~v9(constB47)) | v184(constB47))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB47) | (~v9(constB47)) | v184(constB47))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29387,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB47) | (~v9(constB47)) | v184(constB47))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29388,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB47) | (~v9(constB47)) | v184(constB47)),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29387, 29386])).
% 28.62/19.16 tff(29389,plain,
% 28.62/19.16 ((~v9(constB47)) | v184(constB47)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29388, 27274, 7026])).
% 28.62/19.16 tff(29390,plain,
% 28.62/19.16 (v184(constB47)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29389, 29385])).
% 28.62/19.16 tff(29391,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB47) | (~v184(constB47)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB47) | (~v184(constB47)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29392,plain,
% 28.62/19.16 (((~v184(constB47)) | v183(constB47)) <=> (v183(constB47) | (~v184(constB47)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29393,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB47)) | v183(constB47))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB47) | (~v184(constB47))))),
% 28.62/19.16 inference(monotonicity,[status(thm)],[29392])).
% 28.62/19.16 tff(29394,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB47)) | v183(constB47))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB47) | (~v184(constB47)))),
% 28.62/19.16 inference(transitivity,[status(thm)],[29393, 29391])).
% 28.62/19.16 tff(29395,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB47)) | v183(constB47))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29396,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB47) | (~v184(constB47))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29395, 29394])).
% 28.62/19.16 tff(29397,plain,
% 28.62/19.16 (v183(constB47)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29396, 27286, 29390])).
% 28.62/19.16 tff(29398,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB47)) | (~v183(constB47)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB47)) | (~v183(constB47)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29399,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB47)) | (~v183(constB47)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29400,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB47)) | (~v183(constB47))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29399, 29398])).
% 28.62/19.16 tff(29401,plain,
% 28.62/19.16 (~v181(constB47)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29400, 27300, 29397])).
% 28.62/19.16 tff(29402,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB47) | v185(constB47) | (~v178(constB47)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB47) | v185(constB47) | (~v178(constB47)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29403,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB47) | v185(constB47) | (~v178(constB47)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29404,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB47) | v185(constB47) | (~v178(constB47))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29403, 29402])).
% 28.62/19.16 tff(29405,plain,
% 28.62/19.16 (v185(constB47) | (~v178(constB47))),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29404, 27314, 29401])).
% 28.62/19.16 tff(29406,plain,
% 28.62/19.16 (~v178(constB47)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29405, 29363])).
% 28.62/19.16 tff(29407,plain,
% 28.62/19.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB47, constB48)) | v178(constB47) | (~v180(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB47, constB48)) | v178(constB47) | (~v180(constB48)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29408,plain,
% 28.62/19.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB47, constB48)) | v178(constB47) | (~v180(constB48)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29409,plain,
% 28.62/19.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB47, constB48)) | v178(constB47) | (~v180(constB48))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29408, 29407])).
% 28.62/19.16 tff(29410,plain,
% 28.62/19.16 (v178(constB47) | (~v180(constB48))),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29409, 27329, 7162])).
% 28.62/19.16 tff(29411,plain,
% 28.62/19.16 (~v180(constB48)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29410, 29406])).
% 28.62/19.16 tff(29412,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB48) | (~v181(constB48)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB48) | (~v181(constB48)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29413,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB48) | (~v181(constB48)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29414,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB48) | (~v181(constB48))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29413, 29412])).
% 28.62/19.16 tff(29415,plain,
% 28.62/19.16 (~v181(constB48)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29414, 27344, 29411])).
% 28.62/19.16 tff(29416,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB48)) | (~v184(constB48)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB48)) | (~v184(constB48)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29417,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB48)) | (~v184(constB48)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29418,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB48)) | (~v184(constB48))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29417, 29416])).
% 28.62/19.16 tff(29419,plain,
% 28.62/19.16 (~v184(constB48)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29418, 59, 7182])).
% 28.62/19.16 tff(29420,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB48) | (~v187(constB48)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB48) | (~v187(constB48)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29421,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB48) | (~v187(constB48)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29422,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB48) | (~v187(constB48))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29421, 29420])).
% 28.62/19.16 tff(29423,plain,
% 28.62/19.16 (~v187(constB48)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29422, 27362, 29419])).
% 28.62/19.16 tff(29424,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB48) | (~v185(constB48)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB48) | (~v185(constB48)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29425,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB48) | (~v185(constB48)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29426,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB48) | (~v185(constB48))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29425, 29424])).
% 28.62/19.16 tff(29427,plain,
% 28.62/19.16 (~v185(constB48)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29426, 27188, 29423])).
% 28.62/19.16 tff(29428,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB48) | v185(constB48) | (~v178(constB48)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB48) | v185(constB48) | (~v178(constB48)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29429,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB48) | v185(constB48) | (~v178(constB48)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29430,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB48) | v185(constB48) | (~v178(constB48))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29429, 29428])).
% 28.62/19.16 tff(29431,plain,
% 28.62/19.16 (v181(constB48) | (~v178(constB48))),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29430, 27314, 29427])).
% 28.62/19.16 tff(29432,plain,
% 28.62/19.16 (~v178(constB48)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29431, 29415])).
% 28.62/19.16 tff(29433,plain,
% 28.62/19.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB48, constB49)) | v178(constB48) | (~v180(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB48, constB49)) | v178(constB48) | (~v180(constB49)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29434,plain,
% 28.62/19.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB48, constB49)) | v178(constB48) | (~v180(constB49)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29435,plain,
% 28.62/19.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB48, constB49)) | v178(constB48) | (~v180(constB49))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29434, 29433])).
% 28.62/19.16 tff(29436,plain,
% 28.62/19.16 (v178(constB48) | (~v180(constB49))),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29435, 27329, 7228])).
% 28.62/19.16 tff(29437,plain,
% 28.62/19.16 (~v180(constB49)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29436, 29432])).
% 28.62/19.16 tff(29438,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB49) | (~v181(constB49)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB49) | (~v181(constB49)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29439,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB49) | (~v181(constB49)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29440,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB49) | (~v181(constB49))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29439, 29438])).
% 28.62/19.16 tff(29441,plain,
% 28.62/19.16 (~v181(constB49)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29440, 27344, 29437])).
% 28.62/19.16 tff(29442,plain,
% 28.62/19.16 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB49) | v185(constB49) | (~v178(constB49)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB49) | v185(constB49) | (~v178(constB49)))),
% 28.62/19.16 inference(rewrite,[status(thm)],[])).
% 28.62/19.16 tff(29443,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB49) | v185(constB49) | (~v178(constB49)))),
% 28.62/19.16 inference(quant_inst,[status(thm)],[])).
% 28.62/19.16 tff(29444,plain,
% 28.62/19.16 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB49) | v185(constB49) | (~v178(constB49))),
% 28.62/19.16 inference(modus_ponens,[status(thm)],[29443, 29442])).
% 28.62/19.16 tff(29445,plain,
% 28.62/19.16 (v185(constB49) | (~v178(constB49))),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29444, 27314, 29441])).
% 28.62/19.16 tff(29446,plain,
% 28.62/19.16 (~v178(constB49)),
% 28.62/19.16 inference(unit_resolution,[status(thm)],[29445, 29306])).
% 28.62/19.16 tff(29447,plain,
% 28.62/19.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB49, constB50)) | v178(constB49) | (~v180(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB49, constB50)) | v178(constB49) | (~v180(constB50)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29448,plain,
% 28.62/19.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB49, constB50)) | v178(constB49) | (~v180(constB50)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29449,plain,
% 28.62/19.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB49, constB50)) | v178(constB49) | (~v180(constB50))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29448, 29447])).
% 28.62/19.17 tff(29450,plain,
% 28.62/19.17 (v178(constB49) | (~v180(constB50))),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29449, 27329, 7323])).
% 28.62/19.17 tff(29451,plain,
% 28.62/19.17 (~v180(constB50)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29450, 29446])).
% 28.62/19.17 tff(29452,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB50) | (~v181(constB50)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB50) | (~v181(constB50)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29453,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB50) | (~v181(constB50)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29454,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB50) | (~v181(constB50))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29453, 29452])).
% 28.62/19.17 tff(29455,plain,
% 28.62/19.17 (~v181(constB50)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29454, 27344, 29451])).
% 28.62/19.17 tff(29456,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB50)) | (~v184(constB50)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB50)) | (~v184(constB50)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29457,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB50)) | (~v184(constB50)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29458,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB50)) | (~v184(constB50))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29457, 29456])).
% 28.62/19.17 tff(29459,plain,
% 28.62/19.17 (~v184(constB50)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29458, 59, 7419])).
% 28.62/19.17 tff(29460,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB50) | (~v187(constB50)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB50) | (~v187(constB50)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29461,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB50) | (~v187(constB50)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29462,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB50) | (~v187(constB50))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29461, 29460])).
% 28.62/19.17 tff(29463,plain,
% 28.62/19.17 (~v187(constB50)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29462, 27362, 29459])).
% 28.62/19.17 tff(29464,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB50) | (~v185(constB50)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB50) | (~v185(constB50)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29465,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB50) | (~v185(constB50)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29466,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB50) | (~v185(constB50))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29465, 29464])).
% 28.62/19.17 tff(29467,plain,
% 28.62/19.17 (~v185(constB50)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29466, 27188, 29463])).
% 28.62/19.17 tff(29468,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB50) | v185(constB50) | (~v178(constB50)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB50) | v185(constB50) | (~v178(constB50)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29469,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB50) | v185(constB50) | (~v178(constB50)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29470,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB50) | v185(constB50) | (~v178(constB50))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29469, 29468])).
% 28.62/19.17 tff(29471,plain,
% 28.62/19.17 (v181(constB50) | (~v178(constB50))),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29470, 27314, 29467])).
% 28.62/19.17 tff(29472,plain,
% 28.62/19.17 (~v178(constB50)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29471, 29455])).
% 28.62/19.17 tff(29473,plain,
% 28.62/19.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB50, constB51)) | v178(constB50) | (~v180(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB50, constB51)) | v178(constB50) | (~v180(constB51)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29474,plain,
% 28.62/19.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB50, constB51)) | v178(constB50) | (~v180(constB51)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29475,plain,
% 28.62/19.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB50, constB51)) | v178(constB50) | (~v180(constB51))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29474, 29473])).
% 28.62/19.17 tff(29476,plain,
% 28.62/19.17 (v178(constB50) | (~v180(constB51))),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29475, 27329, 7443])).
% 28.62/19.17 tff(29477,plain,
% 28.62/19.17 (~v180(constB51)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29476, 29472])).
% 28.62/19.17 tff(29478,plain,
% 28.62/19.17 ($false),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29477, 29247])).
% 28.62/19.17 tff(29479,plain,(~(constB51 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.62/19.17 tff(29480,assumption,(constB185 = sK_VarCurr), introduced(assumption)).
% 28.62/19.17 tff(29481,plain,
% 28.62/19.17 (v86(constB185) <=> v86(sK_VarCurr)),
% 28.62/19.17 inference(monotonicity,[status(thm)],[29480])).
% 28.62/19.17 tff(29482,plain,
% 28.62/19.17 (v86(sK_VarCurr) <=> v86(constB185)),
% 28.62/19.17 inference(symmetry,[status(thm)],[29481])).
% 28.62/19.17 tff(29483,plain,
% 28.62/19.17 ((~v86(sK_VarCurr)) <=> (~v86(constB185))),
% 28.62/19.17 inference(monotonicity,[status(thm)],[29482])).
% 28.62/19.17 tff(29484,plain,
% 28.62/19.17 (^[VarCurr: state_type] : refl(((~v193(VarCurr)) | (~v86(VarCurr))) <=> ((~v193(VarCurr)) | (~v86(VarCurr))))),
% 28.62/19.17 inference(bind,[status(th)],[])).
% 28.62/19.17 tff(29485,plain,
% 28.62/19.17 (![VarCurr: state_type] : ((~v193(VarCurr)) | (~v86(VarCurr))) <=> ![VarCurr: state_type] : ((~v193(VarCurr)) | (~v86(VarCurr)))),
% 28.62/19.17 inference(quant_intro,[status(thm)],[29484])).
% 28.62/19.17 tff(29486,plain,
% 28.62/19.17 (![VarCurr: state_type] : ((~v193(VarCurr)) | (~v86(VarCurr))) <=> ![VarCurr: state_type] : ((~v193(VarCurr)) | (~v86(VarCurr)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29487,axiom,(![VarCurr: state_type] : ((~v193(VarCurr)) | (~v86(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_48_1_1_1_2')).
% 28.62/19.17 tff(29488,plain,
% 28.62/19.17 (![VarCurr: state_type] : ((~v193(VarCurr)) | (~v86(VarCurr)))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29487, 29486])).
% 28.62/19.17 tff(29489,plain,(
% 28.62/19.17 ![VarCurr: state_type] : ((~v193(VarCurr)) | (~v86(VarCurr)))),
% 28.62/19.17 inference(skolemize,[status(sab)],[29488])).
% 28.62/19.17 tff(29490,plain,
% 28.62/19.17 (![VarCurr: state_type] : ((~v193(VarCurr)) | (~v86(VarCurr)))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29489, 29485])).
% 28.62/19.17 tff(29491,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v86(VarCurr)))) | ((~v193(sK_VarCurr)) | (~v86(sK_VarCurr)))) <=> ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v86(VarCurr)))) | (~v193(sK_VarCurr)) | (~v86(sK_VarCurr)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29492,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v86(VarCurr)))) | ((~v193(sK_VarCurr)) | (~v86(sK_VarCurr)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29493,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v86(VarCurr)))) | (~v193(sK_VarCurr)) | (~v86(sK_VarCurr))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29492, 29491])).
% 28.62/19.17 tff(29494,plain,
% 28.62/19.17 (~v86(sK_VarCurr)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29493, 29490, 35])).
% 28.62/19.17 tff(29495,plain,
% 28.62/19.17 (~v86(constB185)),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29494, 29483])).
% 28.62/19.17 tff(29496,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB185, 2)) | v90(constB185, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB185, 2)) | v90(constB185, 2))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29497,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB185, 2)) | v90(constB185, 2))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29498,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB185, 2)) | v90(constB185, 2)),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29497, 29496])).
% 28.62/19.17 tff(29499,plain,
% 28.62/19.17 (~v88(constB185, 2)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29498, 27032, 25704])).
% 28.62/19.17 tff(29500,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB185, 0)) | v90(constB185, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB185, 0)) | v90(constB185, 0))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29501,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB185, 0)) | v90(constB185, 0))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29502,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB185, 0)) | v90(constB185, 0)),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29501, 29500])).
% 28.62/19.17 tff(29503,plain,
% 28.62/19.17 (~v88(constB185, 0)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29502, 26990, 25752])).
% 28.62/19.17 tff(29504,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB185, 1)) | v88(constB185, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB185, 1)) | v88(constB185, 1))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29505,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB185, 1)) | v88(constB185, 1))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29506,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB185, 1)) | v88(constB185, 1)),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29505, 29504])).
% 28.62/19.17 tff(29507,plain,
% 28.62/19.17 (v88(constB185, 1)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29506, 26945, 25718])).
% 28.62/19.17 tff(29508,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB185, 0) | v88(constB185, 2) | v143(constB185) | (~v88(constB185, 1)))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB185, 0) | v88(constB185, 2) | v143(constB185) | (~v88(constB185, 1)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29509,plain,
% 28.62/19.17 ((v88(constB185, 2) | (~v88(constB185, 1)) | v88(constB185, 0) | v143(constB185)) <=> (v88(constB185, 0) | v88(constB185, 2) | v143(constB185) | (~v88(constB185, 1)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29510,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB185, 2) | (~v88(constB185, 1)) | v88(constB185, 0) | v143(constB185))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB185, 0) | v88(constB185, 2) | v143(constB185) | (~v88(constB185, 1))))),
% 28.62/19.17 inference(monotonicity,[status(thm)],[29509])).
% 28.62/19.17 tff(29511,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB185, 2) | (~v88(constB185, 1)) | v88(constB185, 0) | v143(constB185))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB185, 0) | v88(constB185, 2) | v143(constB185) | (~v88(constB185, 1)))),
% 28.62/19.17 inference(transitivity,[status(thm)],[29510, 29508])).
% 28.62/19.17 tff(29512,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB185, 2) | (~v88(constB185, 1)) | v88(constB185, 0) | v143(constB185))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29513,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB185, 0) | v88(constB185, 2) | v143(constB185) | (~v88(constB185, 1))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29512, 29511])).
% 28.62/19.17 tff(29514,plain,
% 28.62/19.17 (v143(constB185)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29513, 27047, 29507, 29503, 29499])).
% 28.62/19.17 tff(29515,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB185) | (~v143(constB185)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB185) | (~v143(constB185)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29516,plain,
% 28.62/19.17 (((~v143(constB185)) | v142(constB185)) <=> (v142(constB185) | (~v143(constB185)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29517,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB185)) | v142(constB185))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB185) | (~v143(constB185))))),
% 28.62/19.17 inference(monotonicity,[status(thm)],[29516])).
% 28.62/19.17 tff(29518,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB185)) | v142(constB185))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB185) | (~v143(constB185)))),
% 28.62/19.17 inference(transitivity,[status(thm)],[29517, 29515])).
% 28.62/19.17 tff(29519,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB185)) | v142(constB185))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29520,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB185) | (~v143(constB185))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29519, 29518])).
% 28.62/19.17 tff(29521,plain,
% 28.62/19.17 (v142(constB185)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29520, 27064, 29514])).
% 28.62/19.17 tff(29522,plain,
% 28.62/19.17 (^[VarCurr: state_type] : refl(((~v142(VarCurr)) | v148(VarCurr)) <=> ((~v142(VarCurr)) | v148(VarCurr)))),
% 28.62/19.17 inference(bind,[status(th)],[])).
% 28.62/19.17 tff(29523,plain,
% 28.62/19.17 (![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr)) <=> ![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))),
% 28.62/19.17 inference(quant_intro,[status(thm)],[29522])).
% 28.62/19.17 tff(29524,plain,
% 28.62/19.17 (![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr)) <=> ![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29525,axiom,(![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2_1_1')).
% 28.62/19.17 tff(29526,plain,
% 28.62/19.17 (![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29525, 29524])).
% 28.62/19.17 tff(29527,plain,(
% 28.62/19.17 ![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))),
% 28.62/19.17 inference(skolemize,[status(sab)],[29526])).
% 28.62/19.17 tff(29528,plain,
% 28.62/19.17 (![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29527, 29523])).
% 28.62/19.17 tff(29529,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB185)) | v148(constB185))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB185)) | v148(constB185))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29530,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB185)) | v148(constB185))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29531,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB185)) | v148(constB185)),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29530, 29529])).
% 28.62/19.17 tff(29532,plain,
% 28.62/19.17 (v148(constB185)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29531, 29528, 29521])).
% 28.62/19.17 tff(29533,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB185)) | v165(constB185))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB185)) | v165(constB185))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29534,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB185)) | v165(constB185))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29535,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB185)) | v165(constB185)),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29534, 29533])).
% 28.62/19.17 tff(29536,plain,
% 28.62/19.17 (v165(constB185)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29535, 27075, 29521])).
% 28.62/19.17 tff(29537,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB185) | (~v165(constB185)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB185) | (~v165(constB185)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29538,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB185) | (~v165(constB185)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29539,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB185) | (~v165(constB185))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29538, 29537])).
% 28.62/19.17 tff(29540,plain,
% 28.62/19.17 (v164(constB185)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29539, 27089, 29536])).
% 28.62/19.17 tff(29541,plain,
% 28.62/19.17 (^[VarNext: state_type] : refl(((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext))) <=> ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext))))),
% 28.62/19.17 inference(bind,[status(th)],[])).
% 28.62/19.17 tff(29542,plain,
% 28.62/19.17 (![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext))) <=> ![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))),
% 28.62/19.17 inference(quant_intro,[status(thm)],[29541])).
% 28.62/19.17 tff(29543,plain,
% 28.62/19.17 (![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext))) <=> ![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29544,plain,
% 28.62/19.17 (^[VarNext: state_type] : trans(monotonicity(rewrite(((~v164(VarNext)) | (~v148(VarNext))) <=> ((~v148(VarNext)) | (~v164(VarNext)))), ((((~v164(VarNext)) | (~v148(VarNext))) | v86(VarNext)) <=> (((~v148(VarNext)) | (~v164(VarNext))) | v86(VarNext)))), rewrite((((~v148(VarNext)) | (~v164(VarNext))) | v86(VarNext)) <=> ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))), ((((~v164(VarNext)) | (~v148(VarNext))) | v86(VarNext)) <=> ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))))),
% 28.62/19.17 inference(bind,[status(th)],[])).
% 28.62/19.17 tff(29545,plain,
% 28.62/19.17 (![VarNext: state_type] : (((~v164(VarNext)) | (~v148(VarNext))) | v86(VarNext)) <=> ![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))),
% 28.62/19.17 inference(quant_intro,[status(thm)],[29544])).
% 28.62/19.17 tff(29546,axiom,(![VarNext: state_type] : (((~v164(VarNext)) | (~v148(VarNext))) | v86(VarNext))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_4_1_1')).
% 28.62/19.17 tff(29547,plain,
% 28.62/19.17 (![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29546, 29545])).
% 28.62/19.17 tff(29548,plain,
% 28.62/19.17 (![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29547, 29543])).
% 28.62/19.17 tff(29549,plain,(
% 28.62/19.17 ![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))),
% 28.62/19.17 inference(skolemize,[status(sab)],[29548])).
% 28.62/19.17 tff(29550,plain,
% 28.62/19.17 (![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29549, 29542])).
% 28.62/19.17 tff(29551,plain,
% 28.62/19.17 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | (v86(constB185) | (~v148(constB185)) | (~v164(constB185)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB185) | (~v148(constB185)) | (~v164(constB185)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29552,plain,
% 28.62/19.17 (((~v148(constB185)) | v86(constB185) | (~v164(constB185))) <=> (v86(constB185) | (~v148(constB185)) | (~v164(constB185)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29553,plain,
% 28.62/19.17 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB185)) | v86(constB185) | (~v164(constB185)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | (v86(constB185) | (~v148(constB185)) | (~v164(constB185))))),
% 28.62/19.17 inference(monotonicity,[status(thm)],[29552])).
% 28.62/19.17 tff(29554,plain,
% 28.62/19.17 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB185)) | v86(constB185) | (~v164(constB185)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB185) | (~v148(constB185)) | (~v164(constB185)))),
% 28.62/19.17 inference(transitivity,[status(thm)],[29553, 29551])).
% 28.62/19.17 tff(29555,plain,
% 28.62/19.17 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB185)) | v86(constB185) | (~v164(constB185)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29556,plain,
% 28.62/19.17 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB185) | (~v148(constB185)) | (~v164(constB185))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29555, 29554])).
% 28.62/19.17 tff(29557,plain,
% 28.62/19.17 (v86(constB185)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29556, 29550, 29540, 29532])).
% 28.62/19.17 tff(29558,plain,
% 28.62/19.17 ($false),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29557, 29495])).
% 28.62/19.17 tff(29559,plain,(~(constB185 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.62/19.17 tff(29560,assumption,(constB115 = sK_VarCurr), introduced(assumption)).
% 28.62/19.17 tff(29561,plain,
% 28.62/19.17 (v180(constB115) <=> v180(sK_VarCurr)),
% 28.62/19.17 inference(monotonicity,[status(thm)],[29560])).
% 28.62/19.17 tff(29562,plain,
% 28.62/19.17 (v180(sK_VarCurr) <=> v180(constB115)),
% 28.62/19.17 inference(symmetry,[status(thm)],[29561])).
% 28.62/19.17 tff(29563,plain,
% 28.62/19.17 (v180(constB115)),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[86, 29562])).
% 28.62/19.17 tff(29564,plain,
% 28.62/19.17 (~v90(constB113, 2)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[15173, 15110])).
% 28.62/19.17 tff(29565,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB113, 2)) | v90(constB113, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB113, 2)) | v90(constB113, 2))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29566,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB113, 2)) | v90(constB113, 2))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29567,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB113, 2)) | v90(constB113, 2)),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29566, 29565])).
% 28.62/19.17 tff(29568,plain,
% 28.62/19.17 (~v88(constB113, 2)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29567, 27032, 29564])).
% 28.62/19.17 tff(29569,plain,
% 28.62/19.17 (~v130(constB111, 0)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[15355, 919, 14586])).
% 28.62/19.17 tff(29570,plain,
% 28.62/19.17 (~v127(constB111, 0)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[15347, 29569])).
% 28.62/19.17 tff(29571,plain,
% 28.62/19.17 (~v129(constB112, 0)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[15339, 29570])).
% 28.62/19.17 tff(29572,plain,
% 28.62/19.17 ((~v90(constB112, 0)) | v129(constB112, 0)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[15333, 966, 15105])).
% 28.62/19.17 tff(29573,plain,
% 28.62/19.17 (~v90(constB112, 0)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29572, 29571])).
% 28.62/19.17 tff(29574,plain,
% 28.62/19.17 (~v90(constB113, 0)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[15098, 29573])).
% 28.62/19.17 tff(29575,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB113, 0)) | v90(constB113, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB113, 0)) | v90(constB113, 0))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29576,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB113, 0)) | v90(constB113, 0))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29577,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB113, 0)) | v90(constB113, 0)),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29576, 29575])).
% 28.62/19.17 tff(29578,plain,
% 28.62/19.17 (~v88(constB113, 0)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29577, 26990, 29574])).
% 28.62/19.17 tff(29579,plain,
% 28.62/19.17 (v130(constB111, 1)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[15248, 841, 14586])).
% 28.62/19.17 tff(29580,plain,
% 28.62/19.17 (v127(constB111, 1)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[15191, 29579])).
% 28.62/19.17 tff(29581,plain,
% 28.62/19.17 (v129(constB112, 1)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[15196, 29580])).
% 28.62/19.17 tff(29582,plain,
% 28.62/19.17 (v90(constB112, 1) | (~v129(constB112, 1))),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[15203, 885, 15105])).
% 28.62/19.17 tff(29583,plain,
% 28.62/19.17 (v90(constB112, 1)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29582, 29581])).
% 28.62/19.17 tff(29584,plain,
% 28.62/19.17 (v90(constB113, 1)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[15213, 29583])).
% 28.62/19.17 tff(29585,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB113, 1)) | v88(constB113, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB113, 1)) | v88(constB113, 1))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29586,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB113, 1)) | v88(constB113, 1))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29587,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB113, 1)) | v88(constB113, 1)),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29586, 29585])).
% 28.62/19.17 tff(29588,plain,
% 28.62/19.17 (v88(constB113, 1)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29587, 26945, 29584])).
% 28.62/19.17 tff(29589,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v143(constB113) | v88(constB113, 2) | v88(constB113, 0) | (~v88(constB113, 1)))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v143(constB113) | v88(constB113, 2) | v88(constB113, 0) | (~v88(constB113, 1)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29590,plain,
% 28.62/19.17 ((v88(constB113, 2) | (~v88(constB113, 1)) | v88(constB113, 0) | v143(constB113)) <=> (v143(constB113) | v88(constB113, 2) | v88(constB113, 0) | (~v88(constB113, 1)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29591,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB113, 2) | (~v88(constB113, 1)) | v88(constB113, 0) | v143(constB113))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v143(constB113) | v88(constB113, 2) | v88(constB113, 0) | (~v88(constB113, 1))))),
% 28.62/19.17 inference(monotonicity,[status(thm)],[29590])).
% 28.62/19.17 tff(29592,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB113, 2) | (~v88(constB113, 1)) | v88(constB113, 0) | v143(constB113))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v143(constB113) | v88(constB113, 2) | v88(constB113, 0) | (~v88(constB113, 1)))),
% 28.62/19.17 inference(transitivity,[status(thm)],[29591, 29589])).
% 28.62/19.17 tff(29593,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB113, 2) | (~v88(constB113, 1)) | v88(constB113, 0) | v143(constB113))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29594,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v143(constB113) | v88(constB113, 2) | v88(constB113, 0) | (~v88(constB113, 1))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29593, 29592])).
% 28.62/19.17 tff(29595,plain,
% 28.62/19.17 (v143(constB113)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29594, 27047, 29588, 29578, 29568])).
% 28.62/19.17 tff(29596,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB113) | (~v143(constB113)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB113) | (~v143(constB113)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29597,plain,
% 28.62/19.17 (((~v143(constB113)) | v142(constB113)) <=> (v142(constB113) | (~v143(constB113)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29598,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB113)) | v142(constB113))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB113) | (~v143(constB113))))),
% 28.62/19.17 inference(monotonicity,[status(thm)],[29597])).
% 28.62/19.17 tff(29599,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB113)) | v142(constB113))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB113) | (~v143(constB113)))),
% 28.62/19.17 inference(transitivity,[status(thm)],[29598, 29596])).
% 28.62/19.17 tff(29600,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB113)) | v142(constB113))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29601,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB113) | (~v143(constB113))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29600, 29599])).
% 28.62/19.17 tff(29602,plain,
% 28.62/19.17 (v142(constB113)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29601, 27064, 29595])).
% 28.62/19.17 tff(29603,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (v165(constB113) | (~v142(constB113)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | v165(constB113) | (~v142(constB113)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29604,plain,
% 28.62/19.17 (((~v142(constB113)) | v165(constB113)) <=> (v165(constB113) | (~v142(constB113)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29605,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB113)) | v165(constB113))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (v165(constB113) | (~v142(constB113))))),
% 28.62/19.17 inference(monotonicity,[status(thm)],[29604])).
% 28.62/19.17 tff(29606,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB113)) | v165(constB113))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | v165(constB113) | (~v142(constB113)))),
% 28.62/19.17 inference(transitivity,[status(thm)],[29605, 29603])).
% 28.62/19.17 tff(29607,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB113)) | v165(constB113))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29608,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | v165(constB113) | (~v142(constB113))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29607, 29606])).
% 28.62/19.17 tff(29609,plain,
% 28.62/19.17 (v165(constB113)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29608, 27075, 29602])).
% 28.62/19.17 tff(29610,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB113) | (~v165(constB113)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB113) | (~v165(constB113)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29611,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB113) | (~v165(constB113)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29612,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB113) | (~v165(constB113))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29611, 29610])).
% 28.62/19.17 tff(29613,plain,
% 28.62/19.17 (v164(constB113)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29612, 27089, 29609])).
% 28.62/19.17 tff(29614,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB113)) | (~v88(constB113, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB113)) | (~v88(constB113, 1)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29615,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB113)) | (~v88(constB113, 1)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29616,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB113)) | (~v88(constB113, 1))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29615, 29614])).
% 28.62/19.17 tff(29617,plain,
% 28.62/19.17 (~v139(constB113)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29616, 27117, 29588])).
% 28.62/19.17 tff(29618,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB113)) | (~v88(constB113, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB113)) | (~v88(constB113, 1)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29619,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB113)) | (~v88(constB113, 1)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29620,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB113)) | (~v88(constB113, 1))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29619, 29618])).
% 28.62/19.17 tff(29621,plain,
% 28.62/19.17 (~v140(constB113)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29620, 27128, 29588])).
% 28.62/19.17 tff(29622,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB113) | v140(constB113) | (~v168(constB113)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB113) | v140(constB113) | (~v168(constB113)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29623,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB113) | v140(constB113) | (~v168(constB113)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29624,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB113) | v140(constB113) | (~v168(constB113))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29623, 29622])).
% 28.62/19.17 tff(29625,plain,
% 28.62/19.17 (~v168(constB113)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29624, 27142, 29621, 29617])).
% 28.62/19.17 tff(29626,plain,
% 28.62/19.17 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB113)) | (~v164(constB113)) | v168(constB113))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB113)) | (~v164(constB113)) | v168(constB113))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29627,plain,
% 28.62/19.17 (((~v164(constB113)) | v168(constB113) | (~v161(constB113))) <=> ((~v161(constB113)) | (~v164(constB113)) | v168(constB113))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29628,plain,
% 28.62/19.17 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB113)) | v168(constB113) | (~v161(constB113)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB113)) | (~v164(constB113)) | v168(constB113)))),
% 28.62/19.17 inference(monotonicity,[status(thm)],[29627])).
% 28.62/19.17 tff(29629,plain,
% 28.62/19.17 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB113)) | v168(constB113) | (~v161(constB113)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB113)) | (~v164(constB113)) | v168(constB113))),
% 28.62/19.17 inference(transitivity,[status(thm)],[29628, 29626])).
% 28.62/19.17 tff(29630,plain,
% 28.62/19.17 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB113)) | v168(constB113) | (~v161(constB113)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29631,plain,
% 28.62/19.17 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB113)) | (~v164(constB113)) | v168(constB113)),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29630, 29629])).
% 28.62/19.17 tff(29632,plain,
% 28.62/19.17 ((~v161(constB113)) | (~v164(constB113))),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29631, 27156, 29625])).
% 28.62/19.17 tff(29633,plain,
% 28.62/19.17 (~v161(constB113)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29632, 29613])).
% 28.62/19.17 tff(29634,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB113) | (~v187(constB113)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB113) | (~v187(constB113)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29635,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB113) | (~v187(constB113)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29636,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB113) | (~v187(constB113))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29635, 29634])).
% 28.62/19.17 tff(29637,plain,
% 28.62/19.17 (~v187(constB113)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29636, 27174, 29633])).
% 28.62/19.17 tff(29638,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB113) | (~v185(constB113)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB113) | (~v185(constB113)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29639,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB113) | (~v185(constB113)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29640,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB113) | (~v185(constB113))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29639, 29638])).
% 28.62/19.17 tff(29641,plain,
% 28.62/19.17 (~v185(constB113)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29640, 27188, 29637])).
% 28.62/19.17 tff(29642,assumption,(v18(constB114)), introduced(assumption)).
% 28.62/19.17 tff(29643,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB114))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29644,plain,
% 28.62/19.17 ($false),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29643, 27200, 29642])).
% 28.62/19.17 tff(29645,plain,(~v18(constB114)), inference(lemma,lemma(discharge,[]))).
% 28.62/19.17 tff(29646,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB114) | (~v1(constB114)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB114) | (~v1(constB114)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29647,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB114) | (~v1(constB114)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29648,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB114) | (~v1(constB114))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29647, 29646])).
% 28.62/19.17 tff(29649,plain,
% 28.62/19.17 (v22(constB114)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29648, 27216, 15434])).
% 28.62/19.17 tff(29650,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB114) | (~v22(constB114)) | (~v19(constB114)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB114) | (~v22(constB114)) | (~v19(constB114)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29651,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB114) | (~v22(constB114)) | (~v19(constB114)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29652,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB114) | (~v22(constB114)) | (~v19(constB114))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29651, 29650])).
% 28.62/19.17 tff(29653,plain,
% 28.62/19.17 (v18(constB114) | (~v19(constB114))),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29652, 27230, 29649])).
% 28.62/19.17 tff(29654,plain,
% 28.62/19.17 (~v19(constB114)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29653, 29645])).
% 28.62/19.17 tff(29655,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB114) | v19(constB114))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB114) | v19(constB114))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29656,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB114) | v19(constB114))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29657,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB114) | v19(constB114)),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29656, 29655])).
% 28.62/19.17 tff(29658,plain,
% 28.62/19.17 (v13(constB114)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29657, 27242, 29654])).
% 28.62/19.17 tff(29659,plain,
% 28.62/19.17 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB113) | (~v13(constB114)) | (~nextState(constB113, constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB113) | (~v13(constB114)) | (~nextState(constB113, constB114)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29660,plain,
% 28.62/19.17 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB113) | (~v13(constB114)) | (~nextState(constB113, constB114)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29661,plain,
% 28.62/19.17 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB113) | (~v13(constB114)) | (~nextState(constB113, constB114))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29660, 29659])).
% 28.62/19.17 tff(29662,plain,
% 28.62/19.17 (v9(constB113) | (~v13(constB114))),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29661, 27259, 15414])).
% 28.62/19.17 tff(29663,plain,
% 28.62/19.17 (v9(constB113)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29662, 29658])).
% 28.62/19.17 tff(29664,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB113) | (~v9(constB113)) | v184(constB113))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB113) | (~v9(constB113)) | v184(constB113))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29665,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB113) | (~v9(constB113)) | v184(constB113))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29666,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB113) | (~v9(constB113)) | v184(constB113)),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29665, 29664])).
% 28.62/19.17 tff(29667,plain,
% 28.62/19.17 ((~v9(constB113)) | v184(constB113)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29666, 27274, 14992])).
% 28.62/19.17 tff(29668,plain,
% 28.62/19.17 (v184(constB113)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29667, 29663])).
% 28.62/19.17 tff(29669,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB113)) | v183(constB113))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB113)) | v183(constB113))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29670,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB113)) | v183(constB113))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29671,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB113)) | v183(constB113)),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29670, 29669])).
% 28.62/19.17 tff(29672,plain,
% 28.62/19.17 (v183(constB113)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29671, 27286, 29668])).
% 28.62/19.17 tff(29673,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB113)) | (~v183(constB113)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB113)) | (~v183(constB113)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29674,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB113)) | (~v183(constB113)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29675,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB113)) | (~v183(constB113))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29674, 29673])).
% 28.62/19.17 tff(29676,plain,
% 28.62/19.17 (~v181(constB113)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29675, 27300, 29672])).
% 28.62/19.17 tff(29677,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB113) | v185(constB113) | (~v178(constB113)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB113) | v185(constB113) | (~v178(constB113)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29678,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB113) | v185(constB113) | (~v178(constB113)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29679,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB113) | v185(constB113) | (~v178(constB113))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29678, 29677])).
% 28.62/19.17 tff(29680,plain,
% 28.62/19.17 (v185(constB113) | (~v178(constB113))),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29679, 27314, 29676])).
% 28.62/19.17 tff(29681,plain,
% 28.62/19.17 (~v178(constB113)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29680, 29641])).
% 28.62/19.17 tff(29682,plain,
% 28.62/19.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB113, constB114)) | v178(constB113) | (~v180(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB113, constB114)) | v178(constB113) | (~v180(constB114)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29683,plain,
% 28.62/19.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB113, constB114)) | v178(constB113) | (~v180(constB114)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29684,plain,
% 28.62/19.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB113, constB114)) | v178(constB113) | (~v180(constB114))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29683, 29682])).
% 28.62/19.17 tff(29685,plain,
% 28.62/19.17 (v178(constB113) | (~v180(constB114))),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29684, 27329, 15414])).
% 28.62/19.17 tff(29686,plain,
% 28.62/19.17 (~v180(constB114)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29685, 29681])).
% 28.62/19.17 tff(29687,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB114) | (~v181(constB114)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB114) | (~v181(constB114)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29688,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB114) | (~v181(constB114)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29689,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB114) | (~v181(constB114))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29688, 29687])).
% 28.62/19.17 tff(29690,plain,
% 28.62/19.17 (~v181(constB114)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29689, 27344, 29686])).
% 28.62/19.17 tff(29691,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB114)) | (~v184(constB114)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB114)) | (~v184(constB114)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29692,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB114)) | (~v184(constB114)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29693,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB114)) | (~v184(constB114))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29692, 29691])).
% 28.62/19.17 tff(29694,plain,
% 28.62/19.17 (~v184(constB114)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29693, 59, 15434])).
% 28.62/19.17 tff(29695,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB114) | (~v187(constB114)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB114) | (~v187(constB114)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29696,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB114) | (~v187(constB114)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29697,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB114) | (~v187(constB114))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29696, 29695])).
% 28.62/19.17 tff(29698,plain,
% 28.62/19.17 (~v187(constB114)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29697, 27362, 29694])).
% 28.62/19.17 tff(29699,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB114) | (~v185(constB114)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB114) | (~v185(constB114)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29700,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB114) | (~v185(constB114)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29701,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB114) | (~v185(constB114))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29700, 29699])).
% 28.62/19.17 tff(29702,plain,
% 28.62/19.17 (~v185(constB114)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29701, 27188, 29698])).
% 28.62/19.17 tff(29703,plain,
% 28.62/19.17 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB114) | v185(constB114) | (~v178(constB114)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB114) | v185(constB114) | (~v178(constB114)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29704,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB114) | v185(constB114) | (~v178(constB114)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29705,plain,
% 28.62/19.17 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB114) | v185(constB114) | (~v178(constB114))),
% 28.62/19.17 inference(modus_ponens,[status(thm)],[29704, 29703])).
% 28.62/19.17 tff(29706,plain,
% 28.62/19.17 (v181(constB114) | (~v178(constB114))),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29705, 27314, 29702])).
% 28.62/19.17 tff(29707,plain,
% 28.62/19.17 (~v178(constB114)),
% 28.62/19.17 inference(unit_resolution,[status(thm)],[29706, 29690])).
% 28.62/19.17 tff(29708,plain,
% 28.62/19.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB114, constB115)) | v178(constB114) | (~v180(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB114, constB115)) | v178(constB114) | (~v180(constB115)))),
% 28.62/19.17 inference(rewrite,[status(thm)],[])).
% 28.62/19.17 tff(29709,plain,
% 28.62/19.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB114, constB115)) | v178(constB114) | (~v180(constB115)))),
% 28.62/19.17 inference(quant_inst,[status(thm)],[])).
% 28.62/19.17 tff(29710,plain,
% 28.62/19.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB114, constB115)) | v178(constB114) | (~v180(constB115))),
% 28.62/19.18 inference(modus_ponens,[status(thm)],[29709, 29708])).
% 28.62/19.18 tff(29711,plain,
% 28.62/19.18 (v178(constB114) | (~v180(constB115))),
% 28.62/19.18 inference(unit_resolution,[status(thm)],[29710, 27329, 15476])).
% 28.62/19.18 tff(29712,plain,
% 28.62/19.18 (~v180(constB115)),
% 28.62/19.18 inference(unit_resolution,[status(thm)],[29711, 29707])).
% 28.62/19.18 tff(29713,plain,
% 28.62/19.18 ($false),
% 28.62/19.18 inference(unit_resolution,[status(thm)],[29712, 29563])).
% 28.62/19.18 tff(29714,plain,(~(constB115 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.62/19.18 tff(29715,assumption,(constB41 = sK_VarCurr), introduced(assumption)).
% 28.62/19.18 tff(29716,plain,
% 28.62/19.18 (v86(constB41) <=> v86(sK_VarCurr)),
% 28.62/19.18 inference(monotonicity,[status(thm)],[29715])).
% 28.62/19.18 tff(29717,plain,
% 28.62/19.18 (v86(sK_VarCurr) <=> v86(constB41)),
% 28.62/19.18 inference(symmetry,[status(thm)],[29716])).
% 28.62/19.18 tff(29718,plain,
% 28.62/19.18 ((~v86(sK_VarCurr)) <=> (~v86(constB41))),
% 28.62/19.18 inference(monotonicity,[status(thm)],[29717])).
% 28.62/19.18 tff(29719,plain,
% 28.62/19.18 (~v86(constB41)),
% 28.62/19.18 inference(modus_ponens,[status(thm)],[29494, 29718])).
% 28.62/19.18 tff(29720,plain,
% 28.62/19.18 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB41, 2)) | v90(constB41, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB41, 2)) | v90(constB41, 2))),
% 28.62/19.18 inference(rewrite,[status(thm)],[])).
% 28.62/19.18 tff(29721,plain,
% 28.62/19.18 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB41, 2)) | v90(constB41, 2))),
% 28.62/19.18 inference(quant_inst,[status(thm)],[])).
% 28.62/19.18 tff(29722,plain,
% 28.62/19.18 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB41, 2)) | v90(constB41, 2)),
% 28.62/19.18 inference(modus_ponens,[status(thm)],[29721, 29720])).
% 28.62/19.18 tff(29723,plain,
% 28.62/19.18 (~v88(constB41, 2)),
% 28.62/19.18 inference(unit_resolution,[status(thm)],[29722, 27032, 6441])).
% 28.62/19.18 tff(29724,plain,
% 28.62/19.18 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB41, 0)) | v90(constB41, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB41, 0)) | v90(constB41, 0))),
% 28.62/19.18 inference(rewrite,[status(thm)],[])).
% 28.62/19.18 tff(29725,plain,
% 28.62/19.18 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB41, 0)) | v90(constB41, 0))),
% 28.62/19.18 inference(quant_inst,[status(thm)],[])).
% 28.62/19.18 tff(29726,plain,
% 28.62/19.18 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB41, 0)) | v90(constB41, 0)),
% 28.62/19.18 inference(modus_ponens,[status(thm)],[29725, 29724])).
% 28.62/19.18 tff(29727,plain,
% 28.62/19.18 (~v88(constB41, 0)),
% 28.62/19.18 inference(unit_resolution,[status(thm)],[29726, 26990, 6506])).
% 28.62/19.18 tff(29728,plain,
% 28.62/19.18 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB41, 1)) | v88(constB41, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB41, 1)) | v88(constB41, 1))),
% 28.62/19.18 inference(rewrite,[status(thm)],[])).
% 28.62/19.18 tff(29729,plain,
% 28.62/19.18 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB41, 1)) | v88(constB41, 1))),
% 28.62/19.18 inference(quant_inst,[status(thm)],[])).
% 28.62/19.18 tff(29730,plain,
% 28.62/19.18 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB41, 1)) | v88(constB41, 1)),
% 28.62/19.18 inference(modus_ponens,[status(thm)],[29729, 29728])).
% 28.62/19.18 tff(29731,plain,
% 28.62/19.18 (v88(constB41, 1)),
% 28.62/19.18 inference(unit_resolution,[status(thm)],[29730, 26945, 6472])).
% 28.62/19.18 tff(29732,plain,
% 28.62/19.18 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | ((~v88(constB41, 1)) | v88(constB41, 2) | v88(constB41, 0) | v143(constB41))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB41, 1)) | v88(constB41, 2) | v88(constB41, 0) | v143(constB41))),
% 28.62/19.18 inference(rewrite,[status(thm)],[])).
% 28.62/19.18 tff(29733,plain,
% 28.62/19.18 ((v88(constB41, 2) | (~v88(constB41, 1)) | v88(constB41, 0) | v143(constB41)) <=> ((~v88(constB41, 1)) | v88(constB41, 2) | v88(constB41, 0) | v143(constB41))),
% 28.62/19.18 inference(rewrite,[status(thm)],[])).
% 28.62/19.18 tff(29734,plain,
% 28.62/19.18 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB41, 2) | (~v88(constB41, 1)) | v88(constB41, 0) | v143(constB41))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | ((~v88(constB41, 1)) | v88(constB41, 2) | v88(constB41, 0) | v143(constB41)))),
% 28.62/19.18 inference(monotonicity,[status(thm)],[29733])).
% 28.62/19.18 tff(29735,plain,
% 28.62/19.18 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB41, 2) | (~v88(constB41, 1)) | v88(constB41, 0) | v143(constB41))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB41, 1)) | v88(constB41, 2) | v88(constB41, 0) | v143(constB41))),
% 28.62/19.18 inference(transitivity,[status(thm)],[29734, 29732])).
% 28.62/19.18 tff(29736,plain,
% 28.62/19.18 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB41, 2) | (~v88(constB41, 1)) | v88(constB41, 0) | v143(constB41))),
% 28.62/19.18 inference(quant_inst,[status(thm)],[])).
% 28.62/19.18 tff(29737,plain,
% 28.62/19.18 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB41, 1)) | v88(constB41, 2) | v88(constB41, 0) | v143(constB41)),
% 28.62/19.18 inference(modus_ponens,[status(thm)],[29736, 29735])).
% 28.62/19.18 tff(29738,plain,
% 28.62/19.18 (v143(constB41)),
% 28.62/19.18 inference(unit_resolution,[status(thm)],[29737, 27047, 29731, 29727, 29723])).
% 28.62/19.18 tff(29739,plain,
% 28.62/19.18 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB41)) | v142(constB41))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB41)) | v142(constB41))),
% 28.62/19.18 inference(rewrite,[status(thm)],[])).
% 28.62/19.18 tff(29740,plain,
% 28.62/19.18 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB41)) | v142(constB41))),
% 28.62/19.18 inference(quant_inst,[status(thm)],[])).
% 28.62/19.18 tff(29741,plain,
% 28.62/19.18 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB41)) | v142(constB41)),
% 28.62/19.18 inference(modus_ponens,[status(thm)],[29740, 29739])).
% 28.66/19.18 tff(29742,plain,
% 28.66/19.18 (v142(constB41)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29741, 27064, 29738])).
% 28.66/19.18 tff(29743,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB41)) | v148(constB41))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB41)) | v148(constB41))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29744,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB41)) | v148(constB41))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29745,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB41)) | v148(constB41)),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29744, 29743])).
% 28.66/19.18 tff(29746,plain,
% 28.66/19.18 (v148(constB41)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29745, 29528, 29742])).
% 28.66/19.18 tff(29747,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB41)) | v165(constB41))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB41)) | v165(constB41))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29748,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB41)) | v165(constB41))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29749,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB41)) | v165(constB41)),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29748, 29747])).
% 28.66/19.18 tff(29750,plain,
% 28.66/19.18 (v165(constB41)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29749, 27075, 29742])).
% 28.66/19.18 tff(29751,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB41) | (~v165(constB41)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB41) | (~v165(constB41)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29752,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB41) | (~v165(constB41)))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29753,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB41) | (~v165(constB41))),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29752, 29751])).
% 28.66/19.18 tff(29754,plain,
% 28.66/19.18 (v164(constB41)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29753, 27089, 29750])).
% 28.66/19.18 tff(29755,plain,
% 28.66/19.18 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | (v86(constB41) | (~v148(constB41)) | (~v164(constB41)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB41) | (~v148(constB41)) | (~v164(constB41)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29756,plain,
% 28.66/19.18 (((~v148(constB41)) | v86(constB41) | (~v164(constB41))) <=> (v86(constB41) | (~v148(constB41)) | (~v164(constB41)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29757,plain,
% 28.66/19.18 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB41)) | v86(constB41) | (~v164(constB41)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | (v86(constB41) | (~v148(constB41)) | (~v164(constB41))))),
% 28.66/19.18 inference(monotonicity,[status(thm)],[29756])).
% 28.66/19.18 tff(29758,plain,
% 28.66/19.18 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB41)) | v86(constB41) | (~v164(constB41)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB41) | (~v148(constB41)) | (~v164(constB41)))),
% 28.66/19.18 inference(transitivity,[status(thm)],[29757, 29755])).
% 28.66/19.18 tff(29759,plain,
% 28.66/19.18 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB41)) | v86(constB41) | (~v164(constB41)))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29760,plain,
% 28.66/19.18 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB41) | (~v148(constB41)) | (~v164(constB41))),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29759, 29758])).
% 28.66/19.18 tff(29761,plain,
% 28.66/19.18 (v86(constB41)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29760, 29550, 29754, 29746])).
% 28.66/19.18 tff(29762,plain,
% 28.66/19.18 ($false),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29761, 29719])).
% 28.66/19.18 tff(29763,plain,(~(constB41 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.18 tff(29764,assumption,(constB49 = sK_VarCurr), introduced(assumption)).
% 28.66/19.18 tff(29765,plain,
% 28.66/19.18 (v180(constB49) <=> v180(sK_VarCurr)),
% 28.66/19.18 inference(monotonicity,[status(thm)],[29764])).
% 28.66/19.18 tff(29766,plain,
% 28.66/19.18 (v180(sK_VarCurr) <=> v180(constB49)),
% 28.66/19.18 inference(symmetry,[status(thm)],[29765])).
% 28.66/19.18 tff(29767,plain,
% 28.66/19.18 (v180(constB49)),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[86, 29766])).
% 28.66/19.18 tff(29768,plain,
% 28.66/19.18 ($false),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29437, 29767])).
% 28.66/19.18 tff(29769,plain,(~(constB49 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.18 tff(29770,assumption,(constB9 = sK_VarCurr), introduced(assumption)).
% 28.66/19.18 tff(29771,plain,
% 28.66/19.18 (v180(constB9) <=> v180(sK_VarCurr)),
% 28.66/19.18 inference(monotonicity,[status(thm)],[29770])).
% 28.66/19.18 tff(29772,plain,
% 28.66/19.18 (v180(sK_VarCurr) <=> v180(constB9)),
% 28.66/19.18 inference(symmetry,[status(thm)],[29771])).
% 28.66/19.18 tff(29773,plain,
% 28.66/19.18 (v180(constB9)),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[86, 29772])).
% 28.66/19.18 tff(29774,assumption,(v18(constB8)), introduced(assumption)).
% 28.66/19.18 tff(29775,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB8))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29776,plain,
% 28.66/19.18 ($false),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29775, 27200, 29774])).
% 28.66/19.18 tff(29777,plain,(~v18(constB8)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.18 tff(29778,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB8) | (~v1(constB8)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB8) | (~v1(constB8)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29779,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB8) | (~v1(constB8)))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29780,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB8) | (~v1(constB8))),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29779, 29778])).
% 28.66/19.18 tff(29781,plain,
% 28.66/19.18 (v22(constB8)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29780, 27216, 1329])).
% 28.66/19.18 tff(29782,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB8) | (~v22(constB8)) | (~v19(constB8)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB8) | (~v22(constB8)) | (~v19(constB8)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29783,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB8) | (~v22(constB8)) | (~v19(constB8)))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29784,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB8) | (~v22(constB8)) | (~v19(constB8))),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29783, 29782])).
% 28.66/19.18 tff(29785,plain,
% 28.66/19.18 (v18(constB8) | (~v19(constB8))),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29784, 27230, 29781])).
% 28.66/19.18 tff(29786,plain,
% 28.66/19.18 (~v19(constB8)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29785, 29777])).
% 28.66/19.18 tff(29787,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB8) | v19(constB8))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB8) | v19(constB8))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29788,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB8) | v19(constB8))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29789,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB8) | v19(constB8)),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29788, 29787])).
% 28.66/19.18 tff(29790,plain,
% 28.66/19.18 (v13(constB8)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29789, 27242, 29786])).
% 28.66/19.18 tff(29791,plain,
% 28.66/19.18 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB7) | (~v13(constB8)) | (~nextState(constB7, constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB7) | (~v13(constB8)) | (~nextState(constB7, constB8)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29792,plain,
% 28.66/19.18 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB7) | (~v13(constB8)) | (~nextState(constB7, constB8)))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29793,plain,
% 28.66/19.18 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB7) | (~v13(constB8)) | (~nextState(constB7, constB8))),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29792, 29791])).
% 28.66/19.18 tff(29794,plain,
% 28.66/19.18 (v9(constB7) | (~v13(constB8))),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29793, 27259, 1309])).
% 28.66/19.18 tff(29795,plain,
% 28.66/19.18 (v9(constB7)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29794, 29790])).
% 28.66/19.18 tff(29796,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB7) | (~v9(constB7)) | v184(constB7))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB7) | (~v9(constB7)) | v184(constB7))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29797,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB7) | (~v9(constB7)) | v184(constB7))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29798,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB7) | (~v9(constB7)) | v184(constB7)),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29797, 29796])).
% 28.66/19.18 tff(29799,plain,
% 28.66/19.18 ((~v9(constB7)) | v184(constB7)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29798, 27274, 1124])).
% 28.66/19.18 tff(29800,plain,
% 28.66/19.18 (v184(constB7)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29799, 29795])).
% 28.66/19.18 tff(29801,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB7) | (~v184(constB7)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB7) | (~v184(constB7)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29802,plain,
% 28.66/19.18 (((~v184(constB7)) | v183(constB7)) <=> (v183(constB7) | (~v184(constB7)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29803,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB7)) | v183(constB7))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB7) | (~v184(constB7))))),
% 28.66/19.18 inference(monotonicity,[status(thm)],[29802])).
% 28.66/19.18 tff(29804,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB7)) | v183(constB7))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB7) | (~v184(constB7)))),
% 28.66/19.18 inference(transitivity,[status(thm)],[29803, 29801])).
% 28.66/19.18 tff(29805,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB7)) | v183(constB7))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29806,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB7) | (~v184(constB7))),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29805, 29804])).
% 28.66/19.18 tff(29807,plain,
% 28.66/19.18 (v183(constB7)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29806, 27286, 29800])).
% 28.66/19.18 tff(29808,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB7)) | (~v183(constB7)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB7)) | (~v183(constB7)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29809,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB7)) | (~v183(constB7)))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29810,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB7)) | (~v183(constB7))),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29809, 29808])).
% 28.66/19.18 tff(29811,plain,
% 28.66/19.18 (~v181(constB7)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29810, 27300, 29807])).
% 28.66/19.18 tff(29812,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB7, 0)) | v88(constB7, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB7, 0)) | v88(constB7, 0))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29813,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB7, 0)) | v88(constB7, 0))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29814,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB7, 0)) | v88(constB7, 0)),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29813, 29812])).
% 28.66/19.18 tff(29815,plain,
% 28.66/19.18 (v88(constB7, 0)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29814, 27874, 1148])).
% 28.66/19.18 tff(29816,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB7, 2)) | v90(constB7, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB7, 2)) | v90(constB7, 2))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29817,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB7, 2)) | v90(constB7, 2))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29818,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB7, 2)) | v90(constB7, 2)),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29817, 29816])).
% 28.66/19.18 tff(29819,plain,
% 28.66/19.18 (~v88(constB7, 2)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29818, 27032, 1186])).
% 28.66/19.18 tff(29820,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB7, 1)) | v88(constB7, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB7, 1)) | v88(constB7, 1))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29821,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB7, 1)) | v88(constB7, 1))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29822,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB7, 1)) | v88(constB7, 1)),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29821, 29820])).
% 28.66/19.18 tff(29823,plain,
% 28.66/19.18 (v88(constB7, 1)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29822, 26945, 1250])).
% 28.66/19.18 tff(29824,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB7, 1)) | v88(constB7, 2) | (~v88(constB7, 0)) | v141(constB7))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB7, 1)) | v88(constB7, 2) | (~v88(constB7, 0)) | v141(constB7))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29825,plain,
% 28.66/19.18 ((v88(constB7, 2) | (~v88(constB7, 1)) | (~v88(constB7, 0)) | v141(constB7)) <=> ((~v88(constB7, 1)) | v88(constB7, 2) | (~v88(constB7, 0)) | v141(constB7))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29826,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB7, 2) | (~v88(constB7, 1)) | (~v88(constB7, 0)) | v141(constB7))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB7, 1)) | v88(constB7, 2) | (~v88(constB7, 0)) | v141(constB7)))),
% 28.66/19.18 inference(monotonicity,[status(thm)],[29825])).
% 28.66/19.18 tff(29827,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB7, 2) | (~v88(constB7, 1)) | (~v88(constB7, 0)) | v141(constB7))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB7, 1)) | v88(constB7, 2) | (~v88(constB7, 0)) | v141(constB7))),
% 28.66/19.18 inference(transitivity,[status(thm)],[29826, 29824])).
% 28.66/19.18 tff(29828,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB7, 2) | (~v88(constB7, 1)) | (~v88(constB7, 0)) | v141(constB7))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29829,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB7, 1)) | v88(constB7, 2) | (~v88(constB7, 0)) | v141(constB7)),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29828, 29827])).
% 28.66/19.18 tff(29830,plain,
% 28.66/19.18 (v88(constB7, 2) | (~v88(constB7, 0)) | v141(constB7)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29829, 28757, 29823])).
% 28.66/19.18 tff(29831,plain,
% 28.66/19.18 (v141(constB7)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29830, 29819, 29815])).
% 28.66/19.18 tff(29832,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB7)) | v166(constB7))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | (~v141(constB7)) | v166(constB7))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29833,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB7)) | v166(constB7))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29834,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | (~v141(constB7)) | v166(constB7)),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29833, 29832])).
% 28.66/19.18 tff(29835,plain,
% 28.66/19.18 (v166(constB7)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29834, 28771, 29831])).
% 28.66/19.18 tff(29836,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB7)) | v165(constB7))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (~v166(constB7)) | v165(constB7))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29837,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB7)) | v165(constB7))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29838,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (~v166(constB7)) | v165(constB7)),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29837, 29836])).
% 28.66/19.18 tff(29839,plain,
% 28.66/19.18 (v165(constB7)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29838, 28782, 29835])).
% 28.66/19.18 tff(29840,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB7) | (~v165(constB7)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB7) | (~v165(constB7)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29841,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB7) | (~v165(constB7)))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29842,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB7) | (~v165(constB7))),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29841, 29840])).
% 28.66/19.18 tff(29843,plain,
% 28.66/19.18 (v164(constB7)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29842, 27089, 29839])).
% 28.66/19.18 tff(29844,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB7)) | (~v88(constB7, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB7)) | (~v88(constB7, 1)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29845,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB7)) | (~v88(constB7, 1)))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29846,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB7)) | (~v88(constB7, 1))),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29845, 29844])).
% 28.66/19.18 tff(29847,plain,
% 28.66/19.18 (~v139(constB7)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29846, 27117, 29823])).
% 28.66/19.18 tff(29848,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB7)) | (~v88(constB7, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB7)) | (~v88(constB7, 1)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29849,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB7)) | (~v88(constB7, 1)))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29850,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB7)) | (~v88(constB7, 1))),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29849, 29848])).
% 28.66/19.18 tff(29851,plain,
% 28.66/19.18 (~v140(constB7)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29850, 27128, 29823])).
% 28.66/19.18 tff(29852,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB7) | v140(constB7) | (~v168(constB7)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB7) | v140(constB7) | (~v168(constB7)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29853,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB7) | v140(constB7) | (~v168(constB7)))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29854,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB7) | v140(constB7) | (~v168(constB7))),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29853, 29852])).
% 28.66/19.18 tff(29855,plain,
% 28.66/19.18 (~v168(constB7)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29854, 27142, 29851, 29847])).
% 28.66/19.18 tff(29856,plain,
% 28.66/19.18 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB7)) | v168(constB7) | (~v164(constB7)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB7)) | v168(constB7) | (~v164(constB7)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29857,plain,
% 28.66/19.18 (((~v164(constB7)) | v168(constB7) | (~v161(constB7))) <=> ((~v161(constB7)) | v168(constB7) | (~v164(constB7)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29858,plain,
% 28.66/19.18 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB7)) | v168(constB7) | (~v161(constB7)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB7)) | v168(constB7) | (~v164(constB7))))),
% 28.66/19.18 inference(monotonicity,[status(thm)],[29857])).
% 28.66/19.18 tff(29859,plain,
% 28.66/19.18 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB7)) | v168(constB7) | (~v161(constB7)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB7)) | v168(constB7) | (~v164(constB7)))),
% 28.66/19.18 inference(transitivity,[status(thm)],[29858, 29856])).
% 28.66/19.18 tff(29860,plain,
% 28.66/19.18 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB7)) | v168(constB7) | (~v161(constB7)))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29861,plain,
% 28.66/19.18 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB7)) | v168(constB7) | (~v164(constB7))),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29860, 29859])).
% 28.66/19.18 tff(29862,plain,
% 28.66/19.18 ((~v161(constB7)) | (~v164(constB7))),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29861, 27156, 29855])).
% 28.66/19.18 tff(29863,plain,
% 28.66/19.18 (~v161(constB7)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29862, 29843])).
% 28.66/19.18 tff(29864,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB7) | (~v187(constB7)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB7) | (~v187(constB7)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29865,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB7) | (~v187(constB7)))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29866,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB7) | (~v187(constB7))),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29865, 29864])).
% 28.66/19.18 tff(29867,plain,
% 28.66/19.18 (~v187(constB7)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29866, 27174, 29863])).
% 28.66/19.18 tff(29868,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB7) | (~v185(constB7)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB7) | (~v185(constB7)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29869,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB7) | (~v185(constB7)))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29870,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB7) | (~v185(constB7))),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29869, 29868])).
% 28.66/19.18 tff(29871,plain,
% 28.66/19.18 (~v185(constB7)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29870, 27188, 29867])).
% 28.66/19.18 tff(29872,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB7) | v185(constB7) | (~v178(constB7)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB7) | v185(constB7) | (~v178(constB7)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29873,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB7) | v185(constB7) | (~v178(constB7)))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29874,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB7) | v185(constB7) | (~v178(constB7))),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29873, 29872])).
% 28.66/19.18 tff(29875,plain,
% 28.66/19.18 (v181(constB7) | (~v178(constB7))),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29874, 27314, 29871])).
% 28.66/19.18 tff(29876,plain,
% 28.66/19.18 (~v178(constB7)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29875, 29811])).
% 28.66/19.18 tff(29877,plain,
% 28.66/19.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB7, constB8)) | v178(constB7) | (~v180(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB7, constB8)) | v178(constB7) | (~v180(constB8)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29878,plain,
% 28.66/19.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB7, constB8)) | v178(constB7) | (~v180(constB8)))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29879,plain,
% 28.66/19.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB7, constB8)) | v178(constB7) | (~v180(constB8))),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29878, 29877])).
% 28.66/19.18 tff(29880,plain,
% 28.66/19.18 (v178(constB7) | (~v180(constB8))),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29879, 27329, 1309])).
% 28.66/19.18 tff(29881,plain,
% 28.66/19.18 (~v180(constB8)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29880, 29876])).
% 28.66/19.18 tff(29882,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB8) | (~v181(constB8)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB8) | (~v181(constB8)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29883,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB8) | (~v181(constB8)))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29884,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB8) | (~v181(constB8))),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29883, 29882])).
% 28.66/19.18 tff(29885,plain,
% 28.66/19.18 (~v181(constB8)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29884, 27344, 29881])).
% 28.66/19.18 tff(29886,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB8)) | (~v184(constB8)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB8)) | (~v184(constB8)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29887,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB8)) | (~v184(constB8)))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29888,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB8)) | (~v184(constB8))),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29887, 29886])).
% 28.66/19.18 tff(29889,plain,
% 28.66/19.18 (~v184(constB8)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29888, 59, 1329])).
% 28.66/19.18 tff(29890,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB8) | (~v187(constB8)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB8) | (~v187(constB8)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29891,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB8) | (~v187(constB8)))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29892,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB8) | (~v187(constB8))),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29891, 29890])).
% 28.66/19.18 tff(29893,plain,
% 28.66/19.18 (~v187(constB8)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29892, 27362, 29889])).
% 28.66/19.18 tff(29894,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB8) | (~v185(constB8)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB8) | (~v185(constB8)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29895,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB8) | (~v185(constB8)))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29896,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB8) | (~v185(constB8))),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29895, 29894])).
% 28.66/19.18 tff(29897,plain,
% 28.66/19.18 (~v185(constB8)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29896, 27188, 29893])).
% 28.66/19.18 tff(29898,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB8) | v185(constB8) | (~v178(constB8)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB8) | v185(constB8) | (~v178(constB8)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29899,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB8) | v185(constB8) | (~v178(constB8)))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29900,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB8) | v185(constB8) | (~v178(constB8))),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29899, 29898])).
% 28.66/19.18 tff(29901,plain,
% 28.66/19.18 (v181(constB8) | (~v178(constB8))),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29900, 27314, 29897])).
% 28.66/19.18 tff(29902,plain,
% 28.66/19.18 (~v178(constB8)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29901, 29885])).
% 28.66/19.18 tff(29903,plain,
% 28.66/19.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB8, constB9)) | v178(constB8) | (~v180(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB8, constB9)) | v178(constB8) | (~v180(constB9)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29904,plain,
% 28.66/19.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB8, constB9)) | v178(constB8) | (~v180(constB9)))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29905,plain,
% 28.66/19.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB8, constB9)) | v178(constB8) | (~v180(constB9))),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29904, 29903])).
% 28.66/19.18 tff(29906,plain,
% 28.66/19.18 (v178(constB8) | (~v180(constB9))),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29905, 27329, 1394])).
% 28.66/19.18 tff(29907,plain,
% 28.66/19.18 (~v180(constB9)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29906, 29902])).
% 28.66/19.18 tff(29908,plain,
% 28.66/19.18 ($false),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29907, 29773])).
% 28.66/19.18 tff(29909,plain,(~(constB9 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.18 tff(29910,assumption,(constB177 = sK_VarCurr), introduced(assumption)).
% 28.66/19.18 tff(29911,plain,
% 28.66/19.18 (v180(constB177) <=> v180(sK_VarCurr)),
% 28.66/19.18 inference(monotonicity,[status(thm)],[29910])).
% 28.66/19.18 tff(29912,plain,
% 28.66/19.18 (v180(sK_VarCurr) <=> v180(constB177)),
% 28.66/19.18 inference(symmetry,[status(thm)],[29911])).
% 28.66/19.18 tff(29913,plain,
% 28.66/19.18 (v180(constB177)),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[86, 29912])).
% 28.66/19.18 tff(29914,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB175, 2)) | v90(constB175, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB175, 2)) | v90(constB175, 2))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29915,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB175, 2)) | v90(constB175, 2))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29916,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB175, 2)) | v90(constB175, 2)),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29915, 29914])).
% 28.66/19.18 tff(29917,plain,
% 28.66/19.18 (~v88(constB175, 2)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29916, 27032, 24358])).
% 28.66/19.18 tff(29918,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB175, 1)) | v88(constB175, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB175, 1)) | v88(constB175, 1))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29919,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB175, 1)) | v88(constB175, 1))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29920,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB175, 1)) | v88(constB175, 1)),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29919, 29918])).
% 28.66/19.18 tff(29921,plain,
% 28.66/19.18 (v88(constB175, 1)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29920, 26945, 24389])).
% 28.66/19.18 tff(29922,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB175, 0)) | v88(constB175, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB175, 0)) | v88(constB175, 0))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29923,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB175, 0)) | v88(constB175, 0))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29924,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB175, 0)) | v88(constB175, 0)),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29923, 29922])).
% 28.66/19.18 tff(29925,plain,
% 28.66/19.18 (v88(constB175, 0)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29924, 27874, 24420])).
% 28.66/19.18 tff(29926,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB175, 2) | (~v88(constB175, 1)) | (~v88(constB175, 0)) | v141(constB175))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB175, 2) | (~v88(constB175, 1)) | (~v88(constB175, 0)) | v141(constB175))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29927,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB175, 2) | (~v88(constB175, 1)) | (~v88(constB175, 0)) | v141(constB175))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29928,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB175, 2) | (~v88(constB175, 1)) | (~v88(constB175, 0)) | v141(constB175)),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29927, 29926])).
% 28.66/19.18 tff(29929,plain,
% 28.66/19.18 (v141(constB175)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29928, 28757, 29925, 29921, 29917])).
% 28.66/19.18 tff(29930,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB175)) | v166(constB175))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | (~v141(constB175)) | v166(constB175))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29931,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB175)) | v166(constB175))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29932,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | (~v141(constB175)) | v166(constB175)),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29931, 29930])).
% 28.66/19.18 tff(29933,plain,
% 28.66/19.18 (v166(constB175)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29932, 28771, 29929])).
% 28.66/19.18 tff(29934,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB175)) | v165(constB175))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (~v166(constB175)) | v165(constB175))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29935,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB175)) | v165(constB175))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29936,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (~v166(constB175)) | v165(constB175)),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29935, 29934])).
% 28.66/19.18 tff(29937,plain,
% 28.66/19.18 (v165(constB175)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29936, 28782, 29933])).
% 28.66/19.18 tff(29938,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB175) | (~v165(constB175)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB175) | (~v165(constB175)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29939,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB175) | (~v165(constB175)))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29940,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB175) | (~v165(constB175))),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29939, 29938])).
% 28.66/19.18 tff(29941,plain,
% 28.66/19.18 (v164(constB175)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29940, 27089, 29937])).
% 28.66/19.18 tff(29942,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB175)) | (~v88(constB175, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB175)) | (~v88(constB175, 1)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29943,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB175)) | (~v88(constB175, 1)))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29944,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB175)) | (~v88(constB175, 1))),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29943, 29942])).
% 28.66/19.18 tff(29945,plain,
% 28.66/19.18 (~v140(constB175)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29944, 27128, 29921])).
% 28.66/19.18 tff(29946,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB175)) | (~v88(constB175, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB175)) | (~v88(constB175, 0)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29947,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB175)) | (~v88(constB175, 0)))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29948,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB175)) | (~v88(constB175, 0))),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29947, 29946])).
% 28.66/19.18 tff(29949,plain,
% 28.66/19.18 (~v139(constB175)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29948, 27885, 29925])).
% 28.66/19.18 tff(29950,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB175) | v140(constB175) | (~v168(constB175)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB175) | v140(constB175) | (~v168(constB175)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29951,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB175) | v140(constB175) | (~v168(constB175)))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29952,plain,
% 28.66/19.18 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB175) | v140(constB175) | (~v168(constB175))),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29951, 29950])).
% 28.66/19.18 tff(29953,plain,
% 28.66/19.18 (~v168(constB175)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29952, 27142, 29949, 29945])).
% 28.66/19.18 tff(29954,plain,
% 28.66/19.18 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB175)) | v168(constB175) | (~v164(constB175)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB175)) | v168(constB175) | (~v164(constB175)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29955,plain,
% 28.66/19.18 (((~v164(constB175)) | v168(constB175) | (~v161(constB175))) <=> ((~v161(constB175)) | v168(constB175) | (~v164(constB175)))),
% 28.66/19.18 inference(rewrite,[status(thm)],[])).
% 28.66/19.18 tff(29956,plain,
% 28.66/19.18 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB175)) | v168(constB175) | (~v161(constB175)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB175)) | v168(constB175) | (~v164(constB175))))),
% 28.66/19.18 inference(monotonicity,[status(thm)],[29955])).
% 28.66/19.18 tff(29957,plain,
% 28.66/19.18 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB175)) | v168(constB175) | (~v161(constB175)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB175)) | v168(constB175) | (~v164(constB175)))),
% 28.66/19.18 inference(transitivity,[status(thm)],[29956, 29954])).
% 28.66/19.18 tff(29958,plain,
% 28.66/19.18 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB175)) | v168(constB175) | (~v161(constB175)))),
% 28.66/19.18 inference(quant_inst,[status(thm)],[])).
% 28.66/19.18 tff(29959,plain,
% 28.66/19.18 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB175)) | v168(constB175) | (~v164(constB175))),
% 28.66/19.18 inference(modus_ponens,[status(thm)],[29958, 29957])).
% 28.66/19.18 tff(29960,plain,
% 28.66/19.18 ((~v161(constB175)) | (~v164(constB175))),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29959, 27156, 29953])).
% 28.66/19.18 tff(29961,plain,
% 28.66/19.18 (~v161(constB175)),
% 28.66/19.18 inference(unit_resolution,[status(thm)],[29960, 29941])).
% 28.66/19.18 tff(29962,plain,
% 28.66/19.18 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB175) | (~v187(constB175)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB175) | (~v187(constB175)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(29963,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB175) | (~v187(constB175)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(29964,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB175) | (~v187(constB175))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[29963, 29962])).
% 28.66/19.19 tff(29965,plain,
% 28.66/19.19 (~v187(constB175)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[29964, 27174, 29961])).
% 28.66/19.19 tff(29966,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB175) | (~v185(constB175)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB175) | (~v185(constB175)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(29967,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB175) | (~v185(constB175)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(29968,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB175) | (~v185(constB175))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[29967, 29966])).
% 28.66/19.19 tff(29969,plain,
% 28.66/19.19 (~v185(constB175)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[29968, 27188, 29965])).
% 28.66/19.19 tff(29970,assumption,(v18(constB176)), introduced(assumption)).
% 28.66/19.19 tff(29971,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB176))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(29972,plain,
% 28.66/19.19 ($false),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[29971, 27200, 29970])).
% 28.66/19.19 tff(29973,plain,(~v18(constB176)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.19 tff(29974,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB176) | (~v1(constB176)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB176) | (~v1(constB176)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(29975,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB176) | (~v1(constB176)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(29976,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB176) | (~v1(constB176))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[29975, 29974])).
% 28.66/19.19 tff(29977,plain,
% 28.66/19.19 (v22(constB176)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[29976, 27216, 24485])).
% 28.66/19.19 tff(29978,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB176) | (~v22(constB176)) | (~v19(constB176)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB176) | (~v22(constB176)) | (~v19(constB176)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(29979,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB176) | (~v22(constB176)) | (~v19(constB176)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(29980,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB176) | (~v22(constB176)) | (~v19(constB176))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[29979, 29978])).
% 28.66/19.19 tff(29981,plain,
% 28.66/19.19 (v18(constB176) | (~v19(constB176))),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[29980, 27230, 29977])).
% 28.66/19.19 tff(29982,plain,
% 28.66/19.19 (~v19(constB176)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[29981, 29973])).
% 28.66/19.19 tff(29983,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB176) | v19(constB176))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB176) | v19(constB176))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(29984,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB176) | v19(constB176))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(29985,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB176) | v19(constB176)),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[29984, 29983])).
% 28.66/19.19 tff(29986,plain,
% 28.66/19.19 (v13(constB176)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[29985, 27242, 29982])).
% 28.66/19.19 tff(29987,plain,
% 28.66/19.19 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB175) | (~v13(constB176)) | (~nextState(constB175, constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB175) | (~v13(constB176)) | (~nextState(constB175, constB176)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(29988,plain,
% 28.66/19.19 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB175) | (~v13(constB176)) | (~nextState(constB175, constB176)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(29989,plain,
% 28.66/19.19 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB175) | (~v13(constB176)) | (~nextState(constB175, constB176))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[29988, 29987])).
% 28.66/19.19 tff(29990,plain,
% 28.66/19.19 (v9(constB175) | (~v13(constB176))),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[29989, 27259, 24465])).
% 28.66/19.19 tff(29991,plain,
% 28.66/19.19 (v9(constB175)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[29990, 29986])).
% 28.66/19.19 tff(29992,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB175) | (~v9(constB175)) | v184(constB175))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB175) | (~v9(constB175)) | v184(constB175))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(29993,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB175) | (~v9(constB175)) | v184(constB175))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(29994,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB175) | (~v9(constB175)) | v184(constB175)),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[29993, 29992])).
% 28.66/19.19 tff(29995,plain,
% 28.66/19.19 ((~v9(constB175)) | v184(constB175)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[29994, 27274, 24334])).
% 28.66/19.19 tff(29996,plain,
% 28.66/19.19 (v184(constB175)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[29995, 29991])).
% 28.66/19.19 tff(29997,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB175)) | v183(constB175))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB175)) | v183(constB175))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(29998,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB175)) | v183(constB175))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(29999,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB175)) | v183(constB175)),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[29998, 29997])).
% 28.66/19.19 tff(30000,plain,
% 28.66/19.19 (v183(constB175)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[29999, 27286, 29996])).
% 28.66/19.19 tff(30001,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB175)) | (~v183(constB175)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB175)) | (~v183(constB175)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30002,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB175)) | (~v183(constB175)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30003,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB175)) | (~v183(constB175))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30002, 30001])).
% 28.66/19.19 tff(30004,plain,
% 28.66/19.19 (~v181(constB175)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30003, 27300, 30000])).
% 28.66/19.19 tff(30005,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB175) | v185(constB175) | (~v178(constB175)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB175) | v185(constB175) | (~v178(constB175)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30006,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB175) | v185(constB175) | (~v178(constB175)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30007,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB175) | v185(constB175) | (~v178(constB175))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30006, 30005])).
% 28.66/19.19 tff(30008,plain,
% 28.66/19.19 (v185(constB175) | (~v178(constB175))),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30007, 27314, 30004])).
% 28.66/19.19 tff(30009,plain,
% 28.66/19.19 (~v178(constB175)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30008, 29969])).
% 28.66/19.19 tff(30010,plain,
% 28.66/19.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB175, constB176)) | v178(constB175) | (~v180(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB175, constB176)) | v178(constB175) | (~v180(constB176)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30011,plain,
% 28.66/19.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB175, constB176)) | v178(constB175) | (~v180(constB176)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30012,plain,
% 28.66/19.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB175, constB176)) | v178(constB175) | (~v180(constB176))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30011, 30010])).
% 28.66/19.19 tff(30013,plain,
% 28.66/19.19 (v178(constB175) | (~v180(constB176))),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30012, 27329, 24465])).
% 28.66/19.19 tff(30014,plain,
% 28.66/19.19 (~v180(constB176)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30013, 30009])).
% 28.66/19.19 tff(30015,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB176) | (~v181(constB176)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB176) | (~v181(constB176)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30016,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB176) | (~v181(constB176)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30017,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB176) | (~v181(constB176))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30016, 30015])).
% 28.66/19.19 tff(30018,plain,
% 28.66/19.19 (~v181(constB176)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30017, 27344, 30014])).
% 28.66/19.19 tff(30019,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB176)) | (~v184(constB176)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB176)) | (~v184(constB176)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30020,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB176)) | (~v184(constB176)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30021,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB176)) | (~v184(constB176))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30020, 30019])).
% 28.66/19.19 tff(30022,plain,
% 28.66/19.19 (~v184(constB176)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30021, 59, 24485])).
% 28.66/19.19 tff(30023,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB176) | (~v187(constB176)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB176) | (~v187(constB176)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30024,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB176) | (~v187(constB176)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30025,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB176) | (~v187(constB176))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30024, 30023])).
% 28.66/19.19 tff(30026,plain,
% 28.66/19.19 (~v187(constB176)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30025, 27362, 30022])).
% 28.66/19.19 tff(30027,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB176) | (~v185(constB176)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB176) | (~v185(constB176)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30028,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB176) | (~v185(constB176)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30029,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB176) | (~v185(constB176))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30028, 30027])).
% 28.66/19.19 tff(30030,plain,
% 28.66/19.19 (~v185(constB176)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30029, 27188, 30026])).
% 28.66/19.19 tff(30031,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB176) | v185(constB176) | (~v178(constB176)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB176) | v185(constB176) | (~v178(constB176)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30032,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB176) | v185(constB176) | (~v178(constB176)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30033,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB176) | v185(constB176) | (~v178(constB176))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30032, 30031])).
% 28.66/19.19 tff(30034,plain,
% 28.66/19.19 (v181(constB176) | (~v178(constB176))),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30033, 27314, 30030])).
% 28.66/19.19 tff(30035,plain,
% 28.66/19.19 (~v178(constB176)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30034, 30018])).
% 28.66/19.19 tff(30036,plain,
% 28.66/19.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB176, constB177)) | v178(constB176) | (~v180(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB176, constB177)) | v178(constB176) | (~v180(constB177)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30037,plain,
% 28.66/19.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB176, constB177)) | v178(constB176) | (~v180(constB177)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30038,plain,
% 28.66/19.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB176, constB177)) | v178(constB176) | (~v180(constB177))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30037, 30036])).
% 28.66/19.19 tff(30039,plain,
% 28.66/19.19 (v178(constB176) | (~v180(constB177))),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30038, 27329, 24527])).
% 28.66/19.19 tff(30040,plain,
% 28.66/19.19 (~v180(constB177)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30039, 30035])).
% 28.66/19.19 tff(30041,plain,
% 28.66/19.19 ($false),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30040, 29913])).
% 28.66/19.19 tff(30042,plain,(~(constB177 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.19 tff(30043,assumption,(constB166 = sK_VarCurr), introduced(assumption)).
% 28.66/19.19 tff(30044,plain,
% 28.66/19.19 (v1(constB166) <=> v1(sK_VarCurr)),
% 28.66/19.19 inference(monotonicity,[status(thm)],[30043])).
% 28.66/19.19 tff(30045,plain,
% 28.66/19.19 (v1(sK_VarCurr) <=> v1(constB166)),
% 28.66/19.19 inference(symmetry,[status(thm)],[30044])).
% 28.66/19.19 tff(30046,plain,
% 28.66/19.19 ((~v1(sK_VarCurr)) <=> (~v1(constB166))),
% 28.66/19.19 inference(monotonicity,[status(thm)],[30045])).
% 28.66/19.19 tff(30047,plain,
% 28.66/19.19 (~v1(constB166)),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[63, 30046])).
% 28.66/19.19 tff(30048,plain,
% 28.66/19.19 ($false),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[23498, 30047])).
% 28.66/19.19 tff(30049,plain,(~(constB166 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.19 tff(30050,assumption,(constB33 = sK_VarCurr), introduced(assumption)).
% 28.66/19.19 tff(30051,plain,
% 28.66/19.19 (v180(constB33) <=> v180(sK_VarCurr)),
% 28.66/19.19 inference(monotonicity,[status(thm)],[30050])).
% 28.66/19.19 tff(30052,plain,
% 28.66/19.19 (v180(sK_VarCurr) <=> v180(constB33)),
% 28.66/19.19 inference(symmetry,[status(thm)],[30051])).
% 28.66/19.19 tff(30053,plain,
% 28.66/19.19 (v180(constB33)),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[86, 30052])).
% 28.66/19.19 tff(30054,plain,
% 28.66/19.19 (~v130(constB29, 2)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[4155, 1155, 4060])).
% 28.66/19.19 tff(30055,plain,
% 28.66/19.19 (~v127(constB29, 2)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[4163, 30054])).
% 28.66/19.19 tff(30056,plain,
% 28.66/19.19 (~v129(constB30, 2)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[4168, 30055])).
% 28.66/19.19 tff(30057,plain,
% 28.66/19.19 ((~v90(constB30, 2)) | (~v100(constB30))),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[4173, 488, 30056])).
% 28.66/19.19 tff(30058,plain,
% 28.66/19.19 (~v90(constB30, 2)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30057, 4151])).
% 28.66/19.19 tff(30059,plain,
% 28.66/19.19 (~v90(constB31, 2)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[4201, 30058])).
% 28.66/19.19 tff(30060,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB31, 2)) | v90(constB31, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB31, 2)) | v90(constB31, 2))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30061,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB31, 2)) | v90(constB31, 2))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30062,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB31, 2)) | v90(constB31, 2)),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30061, 30060])).
% 28.66/19.19 tff(30063,plain,
% 28.66/19.19 (~v88(constB31, 2)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30062, 27032, 30059])).
% 28.66/19.19 tff(30064,plain,
% 28.66/19.19 (v130(constB29, 1)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[4236, 1235, 4060])).
% 28.66/19.19 tff(30065,plain,
% 28.66/19.19 (v127(constB29, 1)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[4241, 30064])).
% 28.66/19.19 tff(30066,plain,
% 28.66/19.19 (v129(constB30, 1)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[4246, 30065])).
% 28.66/19.19 tff(30067,plain,
% 28.66/19.19 (v90(constB30, 1) | (~v100(constB30))),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[4253, 885, 30066])).
% 28.66/19.19 tff(30068,plain,
% 28.66/19.19 (v90(constB30, 1)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30067, 4151])).
% 28.66/19.19 tff(30069,plain,
% 28.66/19.19 (v90(constB31, 1)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[4263, 30068])).
% 28.66/19.19 tff(30070,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB31, 1)) | v88(constB31, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB31, 1)) | v88(constB31, 1))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30071,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB31, 1)) | v88(constB31, 1))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30072,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB31, 1)) | v88(constB31, 1)),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30071, 30070])).
% 28.66/19.19 tff(30073,plain,
% 28.66/19.19 (v88(constB31, 1)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30072, 26945, 30069])).
% 28.66/19.19 tff(30074,plain,
% 28.66/19.19 (v130(constB29, 0)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[4205, 1099, 4060])).
% 28.66/19.19 tff(30075,plain,
% 28.66/19.19 (v127(constB29, 0)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[4210, 30074])).
% 28.66/19.19 tff(30076,plain,
% 28.66/19.19 (v129(constB30, 0)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[4215, 30075])).
% 28.66/19.19 tff(30077,plain,
% 28.66/19.19 (v90(constB30, 0) | (~v100(constB30))),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[4222, 642, 30076])).
% 28.66/19.19 tff(30078,plain,
% 28.66/19.19 (v90(constB30, 0)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30077, 4151])).
% 28.66/19.19 tff(30079,plain,
% 28.66/19.19 (v90(constB31, 0)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[4232, 30078])).
% 28.66/19.19 tff(30080,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB31, 0)) | v88(constB31, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB31, 0)) | v88(constB31, 0))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30081,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB31, 0)) | v88(constB31, 0))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30082,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB31, 0)) | v88(constB31, 0)),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30081, 30080])).
% 28.66/19.19 tff(30083,plain,
% 28.66/19.19 (v88(constB31, 0)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30082, 27874, 30079])).
% 28.66/19.19 tff(30084,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB31, 2) | (~v88(constB31, 1)) | (~v88(constB31, 0)) | v141(constB31))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB31, 2) | (~v88(constB31, 1)) | (~v88(constB31, 0)) | v141(constB31))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30085,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB31, 2) | (~v88(constB31, 1)) | (~v88(constB31, 0)) | v141(constB31))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30086,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB31, 2) | (~v88(constB31, 1)) | (~v88(constB31, 0)) | v141(constB31)),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30085, 30084])).
% 28.66/19.19 tff(30087,plain,
% 28.66/19.19 (v141(constB31)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30086, 28757, 30083, 30073, 30063])).
% 28.66/19.19 tff(30088,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB31)) | v166(constB31))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | (~v141(constB31)) | v166(constB31))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30089,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB31)) | v166(constB31))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30090,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | (~v141(constB31)) | v166(constB31)),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30089, 30088])).
% 28.66/19.19 tff(30091,plain,
% 28.66/19.19 (v166(constB31)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30090, 28771, 30087])).
% 28.66/19.19 tff(30092,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB31) | (~v166(constB31)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB31) | (~v166(constB31)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30093,plain,
% 28.66/19.19 (((~v166(constB31)) | v165(constB31)) <=> (v165(constB31) | (~v166(constB31)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30094,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB31)) | v165(constB31))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB31) | (~v166(constB31))))),
% 28.66/19.19 inference(monotonicity,[status(thm)],[30093])).
% 28.66/19.19 tff(30095,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB31)) | v165(constB31))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB31) | (~v166(constB31)))),
% 28.66/19.19 inference(transitivity,[status(thm)],[30094, 30092])).
% 28.66/19.19 tff(30096,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB31)) | v165(constB31))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30097,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB31) | (~v166(constB31))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30096, 30095])).
% 28.66/19.19 tff(30098,plain,
% 28.66/19.19 (v165(constB31)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30097, 28782, 30091])).
% 28.66/19.19 tff(30099,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB31) | (~v165(constB31)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB31) | (~v165(constB31)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30100,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB31) | (~v165(constB31)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30101,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB31) | (~v165(constB31))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30100, 30099])).
% 28.66/19.19 tff(30102,plain,
% 28.66/19.19 (v164(constB31)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30101, 27089, 30098])).
% 28.66/19.19 tff(30103,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB31)) | (~v88(constB31, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB31)) | (~v88(constB31, 1)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30104,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB31)) | (~v88(constB31, 1)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30105,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB31)) | (~v88(constB31, 1))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30104, 30103])).
% 28.66/19.19 tff(30106,plain,
% 28.66/19.19 (~v140(constB31)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30105, 27128, 30073])).
% 28.66/19.19 tff(30107,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB31)) | (~v88(constB31, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB31)) | (~v88(constB31, 0)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30108,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB31)) | (~v88(constB31, 0)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30109,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB31)) | (~v88(constB31, 0))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30108, 30107])).
% 28.66/19.19 tff(30110,plain,
% 28.66/19.19 (~v139(constB31)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30109, 27885, 30083])).
% 28.66/19.19 tff(30111,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB31) | v140(constB31) | (~v168(constB31)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB31) | v140(constB31) | (~v168(constB31)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30112,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB31) | v140(constB31) | (~v168(constB31)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30113,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB31) | v140(constB31) | (~v168(constB31))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30112, 30111])).
% 28.66/19.19 tff(30114,plain,
% 28.66/19.19 (~v168(constB31)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30113, 27142, 30110, 30106])).
% 28.66/19.19 tff(30115,plain,
% 28.66/19.19 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB31)) | (~v164(constB31)) | v168(constB31))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB31)) | (~v164(constB31)) | v168(constB31))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30116,plain,
% 28.66/19.19 (((~v164(constB31)) | v168(constB31) | (~v161(constB31))) <=> ((~v161(constB31)) | (~v164(constB31)) | v168(constB31))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30117,plain,
% 28.66/19.19 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB31)) | v168(constB31) | (~v161(constB31)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB31)) | (~v164(constB31)) | v168(constB31)))),
% 28.66/19.19 inference(monotonicity,[status(thm)],[30116])).
% 28.66/19.19 tff(30118,plain,
% 28.66/19.19 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB31)) | v168(constB31) | (~v161(constB31)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB31)) | (~v164(constB31)) | v168(constB31))),
% 28.66/19.19 inference(transitivity,[status(thm)],[30117, 30115])).
% 28.66/19.19 tff(30119,plain,
% 28.66/19.19 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB31)) | v168(constB31) | (~v161(constB31)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30120,plain,
% 28.66/19.19 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB31)) | (~v164(constB31)) | v168(constB31)),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30119, 30118])).
% 28.66/19.19 tff(30121,plain,
% 28.66/19.19 ((~v161(constB31)) | (~v164(constB31))),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30120, 27156, 30114])).
% 28.66/19.19 tff(30122,plain,
% 28.66/19.19 (~v161(constB31)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30121, 30102])).
% 28.66/19.19 tff(30123,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB31) | (~v187(constB31)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB31) | (~v187(constB31)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30124,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB31) | (~v187(constB31)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30125,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB31) | (~v187(constB31))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30124, 30123])).
% 28.66/19.19 tff(30126,plain,
% 28.66/19.19 (~v187(constB31)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30125, 27174, 30122])).
% 28.66/19.19 tff(30127,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB31) | (~v185(constB31)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB31) | (~v185(constB31)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30128,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB31) | (~v185(constB31)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30129,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB31) | (~v185(constB31))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30128, 30127])).
% 28.66/19.19 tff(30130,plain,
% 28.66/19.19 (~v185(constB31)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30129, 27188, 30126])).
% 28.66/19.19 tff(30131,assumption,(v18(constB32)), introduced(assumption)).
% 28.66/19.19 tff(30132,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB32))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30133,plain,
% 28.66/19.19 ($false),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30132, 27200, 30131])).
% 28.66/19.19 tff(30134,plain,(~v18(constB32)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.19 tff(30135,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB32) | (~v1(constB32)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB32) | (~v1(constB32)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30136,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB32) | (~v1(constB32)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30137,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB32) | (~v1(constB32))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30136, 30135])).
% 28.66/19.19 tff(30138,plain,
% 28.66/19.19 (v22(constB32)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30137, 27216, 4369])).
% 28.66/19.19 tff(30139,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB32) | (~v22(constB32)) | (~v19(constB32)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB32) | (~v22(constB32)) | (~v19(constB32)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30140,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB32) | (~v22(constB32)) | (~v19(constB32)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30141,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB32) | (~v22(constB32)) | (~v19(constB32))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30140, 30139])).
% 28.66/19.19 tff(30142,plain,
% 28.66/19.19 (v18(constB32) | (~v19(constB32))),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30141, 27230, 30138])).
% 28.66/19.19 tff(30143,plain,
% 28.66/19.19 (~v19(constB32)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30142, 30134])).
% 28.66/19.19 tff(30144,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB32) | v19(constB32))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB32) | v19(constB32))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30145,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB32) | v19(constB32))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30146,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB32) | v19(constB32)),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30145, 30144])).
% 28.66/19.19 tff(30147,plain,
% 28.66/19.19 (v13(constB32)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30146, 27242, 30143])).
% 28.66/19.19 tff(30148,plain,
% 28.66/19.19 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB31) | (~v13(constB32)) | (~nextState(constB31, constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB31) | (~v13(constB32)) | (~nextState(constB31, constB32)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30149,plain,
% 28.66/19.19 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB31) | (~v13(constB32)) | (~nextState(constB31, constB32)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30150,plain,
% 28.66/19.19 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB31) | (~v13(constB32)) | (~nextState(constB31, constB32))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30149, 30148])).
% 28.66/19.19 tff(30151,plain,
% 28.66/19.19 (v9(constB31) | (~v13(constB32))),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30150, 27259, 4291])).
% 28.66/19.19 tff(30152,plain,
% 28.66/19.19 (v9(constB31)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30151, 30147])).
% 28.66/19.19 tff(30153,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB31) | (~v9(constB31)) | v184(constB31))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB31) | (~v9(constB31)) | v184(constB31))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30154,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB31) | (~v9(constB31)) | v184(constB31))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30155,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB31) | (~v9(constB31)) | v184(constB31)),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30154, 30153])).
% 28.66/19.19 tff(30156,plain,
% 28.66/19.19 ((~v9(constB31)) | v184(constB31)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30155, 27274, 4178])).
% 28.66/19.19 tff(30157,plain,
% 28.66/19.19 (v184(constB31)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30156, 30152])).
% 28.66/19.19 tff(30158,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB31) | (~v184(constB31)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB31) | (~v184(constB31)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30159,plain,
% 28.66/19.19 (((~v184(constB31)) | v183(constB31)) <=> (v183(constB31) | (~v184(constB31)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30160,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB31)) | v183(constB31))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB31) | (~v184(constB31))))),
% 28.66/19.19 inference(monotonicity,[status(thm)],[30159])).
% 28.66/19.19 tff(30161,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB31)) | v183(constB31))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB31) | (~v184(constB31)))),
% 28.66/19.19 inference(transitivity,[status(thm)],[30160, 30158])).
% 28.66/19.19 tff(30162,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB31)) | v183(constB31))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30163,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB31) | (~v184(constB31))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30162, 30161])).
% 28.66/19.19 tff(30164,plain,
% 28.66/19.19 (v183(constB31)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30163, 27286, 30157])).
% 28.66/19.19 tff(30165,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB31)) | (~v183(constB31)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB31)) | (~v183(constB31)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30166,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB31)) | (~v183(constB31)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30167,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB31)) | (~v183(constB31))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30166, 30165])).
% 28.66/19.19 tff(30168,plain,
% 28.66/19.19 (~v181(constB31)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30167, 27300, 30164])).
% 28.66/19.19 tff(30169,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB31) | v185(constB31) | (~v178(constB31)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB31) | v185(constB31) | (~v178(constB31)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30170,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB31) | v185(constB31) | (~v178(constB31)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30171,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB31) | v185(constB31) | (~v178(constB31))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30170, 30169])).
% 28.66/19.19 tff(30172,plain,
% 28.66/19.19 (v185(constB31) | (~v178(constB31))),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30171, 27314, 30168])).
% 28.66/19.19 tff(30173,plain,
% 28.66/19.19 (~v178(constB31)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30172, 30130])).
% 28.66/19.19 tff(30174,plain,
% 28.66/19.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB31, constB32)) | v178(constB31) | (~v180(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB31, constB32)) | v178(constB31) | (~v180(constB32)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30175,plain,
% 28.66/19.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB31, constB32)) | v178(constB31) | (~v180(constB32)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30176,plain,
% 28.66/19.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB31, constB32)) | v178(constB31) | (~v180(constB32))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30175, 30174])).
% 28.66/19.19 tff(30177,plain,
% 28.66/19.19 (v178(constB31) | (~v180(constB32))),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30176, 27329, 4291])).
% 28.66/19.19 tff(30178,plain,
% 28.66/19.19 (~v180(constB32)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30177, 30173])).
% 28.66/19.19 tff(30179,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB32) | (~v181(constB32)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB32) | (~v181(constB32)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30180,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB32) | (~v181(constB32)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30181,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB32) | (~v181(constB32))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30180, 30179])).
% 28.66/19.19 tff(30182,plain,
% 28.66/19.19 (~v181(constB32)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30181, 27344, 30178])).
% 28.66/19.19 tff(30183,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB32)) | (~v184(constB32)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB32)) | (~v184(constB32)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30184,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB32)) | (~v184(constB32)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30185,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB32)) | (~v184(constB32))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30184, 30183])).
% 28.66/19.19 tff(30186,plain,
% 28.66/19.19 (~v184(constB32)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30185, 59, 4369])).
% 28.66/19.19 tff(30187,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB32) | (~v187(constB32)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB32) | (~v187(constB32)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30188,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB32) | (~v187(constB32)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30189,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB32) | (~v187(constB32))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30188, 30187])).
% 28.66/19.19 tff(30190,plain,
% 28.66/19.19 (~v187(constB32)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30189, 27362, 30186])).
% 28.66/19.19 tff(30191,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB32) | (~v185(constB32)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB32) | (~v185(constB32)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30192,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB32) | (~v185(constB32)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30193,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB32) | (~v185(constB32))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30192, 30191])).
% 28.66/19.19 tff(30194,plain,
% 28.66/19.19 (~v185(constB32)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30193, 27188, 30190])).
% 28.66/19.19 tff(30195,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB32) | v185(constB32) | (~v178(constB32)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB32) | v185(constB32) | (~v178(constB32)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30196,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB32) | v185(constB32) | (~v178(constB32)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30197,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB32) | v185(constB32) | (~v178(constB32))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30196, 30195])).
% 28.66/19.19 tff(30198,plain,
% 28.66/19.19 (v181(constB32) | (~v178(constB32))),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30197, 27314, 30194])).
% 28.66/19.19 tff(30199,plain,
% 28.66/19.19 (~v178(constB32)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30198, 30182])).
% 28.66/19.19 tff(30200,plain,
% 28.66/19.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB32, constB33)) | v178(constB32) | (~v180(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB32, constB33)) | v178(constB32) | (~v180(constB33)))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30201,plain,
% 28.66/19.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB32, constB33)) | v178(constB32) | (~v180(constB33)))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30202,plain,
% 28.66/19.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB32, constB33)) | v178(constB32) | (~v180(constB33))),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30201, 30200])).
% 28.66/19.19 tff(30203,plain,
% 28.66/19.19 (v178(constB32) | (~v180(constB33))),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30202, 27329, 5654])).
% 28.66/19.19 tff(30204,plain,
% 28.66/19.19 (~v180(constB33)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30203, 30199])).
% 28.66/19.19 tff(30205,plain,
% 28.66/19.19 ($false),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30204, 30053])).
% 28.66/19.19 tff(30206,plain,(~(constB33 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.19 tff(30207,assumption,(constB39 = sK_VarCurr), introduced(assumption)).
% 28.66/19.19 tff(30208,plain,
% 28.66/19.19 (v180(constB39) <=> v180(sK_VarCurr)),
% 28.66/19.19 inference(monotonicity,[status(thm)],[30207])).
% 28.66/19.19 tff(30209,plain,
% 28.66/19.19 (v180(sK_VarCurr) <=> v180(constB39)),
% 28.66/19.19 inference(symmetry,[status(thm)],[30208])).
% 28.66/19.19 tff(30210,plain,
% 28.66/19.19 (v180(constB39)),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[86, 30209])).
% 28.66/19.19 tff(30211,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB37, 0)) | v90(constB37, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB37, 0)) | v90(constB37, 0))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30212,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB37, 0)) | v90(constB37, 0))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30213,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB37, 0)) | v90(constB37, 0)),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30212, 30211])).
% 28.66/19.19 tff(30214,plain,
% 28.66/19.19 (~v88(constB37, 0)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30213, 26990, 6094])).
% 28.66/19.19 tff(30215,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB37, 2)) | v88(constB37, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB37, 2)) | v88(constB37, 2))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30216,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB37, 2)) | v88(constB37, 2))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30217,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB37, 2)) | v88(constB37, 2)),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30216, 30215])).
% 28.66/19.19 tff(30218,plain,
% 28.66/19.19 (v88(constB37, 2)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30217, 27680, 6029])).
% 28.66/19.19 tff(30219,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB37, 1)) | v88(constB37, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB37, 1)) | v88(constB37, 1))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30220,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB37, 1)) | v88(constB37, 1))),
% 28.66/19.19 inference(quant_inst,[status(thm)],[])).
% 28.66/19.19 tff(30221,plain,
% 28.66/19.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB37, 1)) | v88(constB37, 1)),
% 28.66/19.19 inference(modus_ponens,[status(thm)],[30220, 30219])).
% 28.66/19.19 tff(30222,plain,
% 28.66/19.19 (v88(constB37, 1)),
% 28.66/19.19 inference(unit_resolution,[status(thm)],[30221, 26945, 6060])).
% 28.66/19.19 tff(30223,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB37, 0) | (~v88(constB37, 2)) | (~v88(constB37, 1)) | v144(constB37))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB37, 0) | (~v88(constB37, 2)) | (~v88(constB37, 1)) | v144(constB37))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30224,plain,
% 28.66/19.19 (((~v88(constB37, 2)) | (~v88(constB37, 1)) | v88(constB37, 0) | v144(constB37)) <=> (v88(constB37, 0) | (~v88(constB37, 2)) | (~v88(constB37, 1)) | v144(constB37))),
% 28.66/19.19 inference(rewrite,[status(thm)],[])).
% 28.66/19.19 tff(30225,plain,
% 28.66/19.19 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB37, 2)) | (~v88(constB37, 1)) | v88(constB37, 0) | v144(constB37))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB37, 0) | (~v88(constB37, 2)) | (~v88(constB37, 1)) | v144(constB37)))),
% 28.66/19.19 inference(monotonicity,[status(thm)],[30224])).
% 28.66/19.20 tff(30226,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB37, 2)) | (~v88(constB37, 1)) | v88(constB37, 0) | v144(constB37))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB37, 0) | (~v88(constB37, 2)) | (~v88(constB37, 1)) | v144(constB37))),
% 28.66/19.20 inference(transitivity,[status(thm)],[30225, 30223])).
% 28.66/19.20 tff(30227,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB37, 2)) | (~v88(constB37, 1)) | v88(constB37, 0) | v144(constB37))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30228,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB37, 0) | (~v88(constB37, 2)) | (~v88(constB37, 1)) | v144(constB37)),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30227, 30226])).
% 28.66/19.20 tff(30229,plain,
% 28.66/19.20 (v144(constB37)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30228, 28458, 30222, 30218, 30214])).
% 28.66/19.20 tff(30230,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB37)) | v142(constB37))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB37)) | v142(constB37))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30231,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB37)) | v142(constB37))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30232,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB37)) | v142(constB37)),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30231, 30230])).
% 28.66/19.20 tff(30233,plain,
% 28.66/19.20 (v142(constB37)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30232, 28472, 30229])).
% 28.66/19.20 tff(30234,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (v165(constB37) | (~v142(constB37)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | v165(constB37) | (~v142(constB37)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30235,plain,
% 28.66/19.20 (((~v142(constB37)) | v165(constB37)) <=> (v165(constB37) | (~v142(constB37)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30236,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB37)) | v165(constB37))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (v165(constB37) | (~v142(constB37))))),
% 28.66/19.20 inference(monotonicity,[status(thm)],[30235])).
% 28.66/19.20 tff(30237,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB37)) | v165(constB37))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | v165(constB37) | (~v142(constB37)))),
% 28.66/19.20 inference(transitivity,[status(thm)],[30236, 30234])).
% 28.66/19.20 tff(30238,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB37)) | v165(constB37))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30239,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | v165(constB37) | (~v142(constB37))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30238, 30237])).
% 28.66/19.20 tff(30240,plain,
% 28.66/19.20 (v165(constB37)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30239, 27075, 30233])).
% 28.66/19.20 tff(30241,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB37) | (~v165(constB37)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB37) | (~v165(constB37)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30242,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB37) | (~v165(constB37)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30243,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB37) | (~v165(constB37))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30242, 30241])).
% 28.66/19.20 tff(30244,plain,
% 28.66/19.20 (v164(constB37)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30243, 27089, 30240])).
% 28.66/19.20 tff(30245,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB37)) | (~v88(constB37, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB37)) | (~v88(constB37, 1)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30246,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB37)) | (~v88(constB37, 1)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30247,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB37)) | (~v88(constB37, 1))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30246, 30245])).
% 28.66/19.20 tff(30248,plain,
% 28.66/19.20 (~v139(constB37)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30247, 27117, 30222])).
% 28.66/19.20 tff(30249,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB37)) | (~v88(constB37, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB37)) | (~v88(constB37, 1)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30250,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB37)) | (~v88(constB37, 1)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30251,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB37)) | (~v88(constB37, 1))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30250, 30249])).
% 28.66/19.20 tff(30252,plain,
% 28.66/19.20 (~v140(constB37)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30251, 27128, 30222])).
% 28.66/19.20 tff(30253,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB37) | v140(constB37) | (~v168(constB37)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB37) | v140(constB37) | (~v168(constB37)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30254,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB37) | v140(constB37) | (~v168(constB37)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30255,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB37) | v140(constB37) | (~v168(constB37))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30254, 30253])).
% 28.66/19.20 tff(30256,plain,
% 28.66/19.20 (~v168(constB37)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30255, 27142, 30252, 30248])).
% 28.66/19.20 tff(30257,plain,
% 28.66/19.20 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB37)) | v168(constB37) | (~v164(constB37)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB37)) | v168(constB37) | (~v164(constB37)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30258,plain,
% 28.66/19.20 (((~v164(constB37)) | v168(constB37) | (~v161(constB37))) <=> ((~v161(constB37)) | v168(constB37) | (~v164(constB37)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30259,plain,
% 28.66/19.20 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB37)) | v168(constB37) | (~v161(constB37)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB37)) | v168(constB37) | (~v164(constB37))))),
% 28.66/19.20 inference(monotonicity,[status(thm)],[30258])).
% 28.66/19.20 tff(30260,plain,
% 28.66/19.20 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB37)) | v168(constB37) | (~v161(constB37)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB37)) | v168(constB37) | (~v164(constB37)))),
% 28.66/19.20 inference(transitivity,[status(thm)],[30259, 30257])).
% 28.66/19.20 tff(30261,plain,
% 28.66/19.20 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB37)) | v168(constB37) | (~v161(constB37)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30262,plain,
% 28.66/19.20 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB37)) | v168(constB37) | (~v164(constB37))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30261, 30260])).
% 28.66/19.20 tff(30263,plain,
% 28.66/19.20 ((~v161(constB37)) | (~v164(constB37))),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30262, 27156, 30256])).
% 28.66/19.20 tff(30264,plain,
% 28.66/19.20 (~v161(constB37)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30263, 30244])).
% 28.66/19.20 tff(30265,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB37) | (~v187(constB37)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB37) | (~v187(constB37)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30266,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB37) | (~v187(constB37)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30267,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB37) | (~v187(constB37))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30266, 30265])).
% 28.66/19.20 tff(30268,plain,
% 28.66/19.20 (~v187(constB37)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30267, 27174, 30264])).
% 28.66/19.20 tff(30269,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB37) | (~v185(constB37)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB37) | (~v185(constB37)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30270,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB37) | (~v185(constB37)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30271,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB37) | (~v185(constB37))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30270, 30269])).
% 28.66/19.20 tff(30272,plain,
% 28.66/19.20 (~v185(constB37)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30271, 27188, 30268])).
% 28.66/19.20 tff(30273,assumption,(v18(constB38)), introduced(assumption)).
% 28.66/19.20 tff(30274,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB38))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30275,plain,
% 28.66/19.20 ($false),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30274, 27200, 30273])).
% 28.66/19.20 tff(30276,plain,(~v18(constB38)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.20 tff(30277,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB38) | (~v1(constB38)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB38) | (~v1(constB38)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30278,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB38) | (~v1(constB38)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30279,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB38) | (~v1(constB38))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30278, 30277])).
% 28.66/19.20 tff(30280,plain,
% 28.66/19.20 (v22(constB38)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30279, 27216, 6141])).
% 28.66/19.20 tff(30281,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB38) | (~v22(constB38)) | (~v19(constB38)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB38) | (~v22(constB38)) | (~v19(constB38)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30282,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB38) | (~v22(constB38)) | (~v19(constB38)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30283,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB38) | (~v22(constB38)) | (~v19(constB38))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30282, 30281])).
% 28.66/19.20 tff(30284,plain,
% 28.66/19.20 (v18(constB38) | (~v19(constB38))),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30283, 27230, 30280])).
% 28.66/19.20 tff(30285,plain,
% 28.66/19.20 (~v19(constB38)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30284, 30276])).
% 28.66/19.20 tff(30286,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB38) | v19(constB38))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB38) | v19(constB38))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30287,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB38) | v19(constB38))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30288,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB38) | v19(constB38)),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30287, 30286])).
% 28.66/19.20 tff(30289,plain,
% 28.66/19.20 (v13(constB38)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30288, 27242, 30285])).
% 28.66/19.20 tff(30290,plain,
% 28.66/19.20 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB37) | (~v13(constB38)) | (~nextState(constB37, constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB37) | (~v13(constB38)) | (~nextState(constB37, constB38)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30291,plain,
% 28.66/19.20 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB37) | (~v13(constB38)) | (~nextState(constB37, constB38)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30292,plain,
% 28.66/19.20 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB37) | (~v13(constB38)) | (~nextState(constB37, constB38))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30291, 30290])).
% 28.66/19.20 tff(30293,plain,
% 28.66/19.20 (v9(constB37) | (~v13(constB38))),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30292, 27259, 6121])).
% 28.66/19.20 tff(30294,plain,
% 28.66/19.20 (v9(constB37)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30293, 30289])).
% 28.66/19.20 tff(30295,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB37) | (~v9(constB37)) | v184(constB37))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB37) | (~v9(constB37)) | v184(constB37))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30296,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB37) | (~v9(constB37)) | v184(constB37))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30297,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB37) | (~v9(constB37)) | v184(constB37)),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30296, 30295])).
% 28.66/19.20 tff(30298,plain,
% 28.66/19.20 ((~v9(constB37)) | v184(constB37)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30297, 27274, 6005])).
% 28.66/19.20 tff(30299,plain,
% 28.66/19.20 (v184(constB37)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30298, 30294])).
% 28.66/19.20 tff(30300,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB37) | (~v184(constB37)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB37) | (~v184(constB37)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30301,plain,
% 28.66/19.20 (((~v184(constB37)) | v183(constB37)) <=> (v183(constB37) | (~v184(constB37)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30302,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB37)) | v183(constB37))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB37) | (~v184(constB37))))),
% 28.66/19.20 inference(monotonicity,[status(thm)],[30301])).
% 28.66/19.20 tff(30303,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB37)) | v183(constB37))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB37) | (~v184(constB37)))),
% 28.66/19.20 inference(transitivity,[status(thm)],[30302, 30300])).
% 28.66/19.20 tff(30304,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB37)) | v183(constB37))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30305,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB37) | (~v184(constB37))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30304, 30303])).
% 28.66/19.20 tff(30306,plain,
% 28.66/19.20 (v183(constB37)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30305, 27286, 30299])).
% 28.66/19.20 tff(30307,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB37)) | (~v183(constB37)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB37)) | (~v183(constB37)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30308,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB37)) | (~v183(constB37)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30309,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB37)) | (~v183(constB37))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30308, 30307])).
% 28.66/19.20 tff(30310,plain,
% 28.66/19.20 (~v181(constB37)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30309, 27300, 30306])).
% 28.66/19.20 tff(30311,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB37) | v185(constB37) | (~v178(constB37)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB37) | v185(constB37) | (~v178(constB37)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30312,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB37) | v185(constB37) | (~v178(constB37)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30313,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB37) | v185(constB37) | (~v178(constB37))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30312, 30311])).
% 28.66/19.20 tff(30314,plain,
% 28.66/19.20 (v185(constB37) | (~v178(constB37))),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30313, 27314, 30310])).
% 28.66/19.20 tff(30315,plain,
% 28.66/19.20 (~v178(constB37)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30314, 30272])).
% 28.66/19.20 tff(30316,plain,
% 28.66/19.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB37, constB38)) | v178(constB37) | (~v180(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB37, constB38)) | v178(constB37) | (~v180(constB38)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30317,plain,
% 28.66/19.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB37, constB38)) | v178(constB37) | (~v180(constB38)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30318,plain,
% 28.66/19.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB37, constB38)) | v178(constB37) | (~v180(constB38))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30317, 30316])).
% 28.66/19.20 tff(30319,plain,
% 28.66/19.20 (v178(constB37) | (~v180(constB38))),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30318, 27329, 6121])).
% 28.66/19.20 tff(30320,plain,
% 28.66/19.20 (~v180(constB38)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30319, 30315])).
% 28.66/19.20 tff(30321,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB38) | (~v181(constB38)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB38) | (~v181(constB38)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30322,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB38) | (~v181(constB38)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30323,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB38) | (~v181(constB38))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30322, 30321])).
% 28.66/19.20 tff(30324,plain,
% 28.66/19.20 (~v181(constB38)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30323, 27344, 30320])).
% 28.66/19.20 tff(30325,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB38)) | (~v184(constB38)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB38)) | (~v184(constB38)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30326,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB38)) | (~v184(constB38)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30327,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB38)) | (~v184(constB38))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30326, 30325])).
% 28.66/19.20 tff(30328,plain,
% 28.66/19.20 (~v184(constB38)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30327, 59, 6141])).
% 28.66/19.20 tff(30329,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB38) | (~v187(constB38)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB38) | (~v187(constB38)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30330,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB38) | (~v187(constB38)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30331,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB38) | (~v187(constB38))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30330, 30329])).
% 28.66/19.20 tff(30332,plain,
% 28.66/19.20 (~v187(constB38)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30331, 27362, 30328])).
% 28.66/19.20 tff(30333,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB38) | (~v185(constB38)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB38) | (~v185(constB38)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30334,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB38) | (~v185(constB38)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30335,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB38) | (~v185(constB38))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30334, 30333])).
% 28.66/19.20 tff(30336,plain,
% 28.66/19.20 (~v185(constB38)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30335, 27188, 30332])).
% 28.66/19.20 tff(30337,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB38) | v185(constB38) | (~v178(constB38)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB38) | v185(constB38) | (~v178(constB38)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30338,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB38) | v185(constB38) | (~v178(constB38)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30339,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB38) | v185(constB38) | (~v178(constB38))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30338, 30337])).
% 28.66/19.20 tff(30340,plain,
% 28.66/19.20 (v181(constB38) | (~v178(constB38))),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30339, 27314, 30336])).
% 28.66/19.20 tff(30341,plain,
% 28.66/19.20 (~v178(constB38)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30340, 30324])).
% 28.66/19.20 tff(30342,plain,
% 28.66/19.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB38, constB39)) | v178(constB38) | (~v180(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB38, constB39)) | v178(constB38) | (~v180(constB39)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30343,plain,
% 28.66/19.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB38, constB39)) | v178(constB38) | (~v180(constB39)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30344,plain,
% 28.66/19.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB38, constB39)) | v178(constB38) | (~v180(constB39))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30343, 30342])).
% 28.66/19.20 tff(30345,plain,
% 28.66/19.20 (v178(constB38) | (~v180(constB39))),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30344, 27329, 6207])).
% 28.66/19.20 tff(30346,plain,
% 28.66/19.20 (~v180(constB39)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30345, 30341])).
% 28.66/19.20 tff(30347,plain,
% 28.66/19.20 ($false),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30346, 30210])).
% 28.66/19.20 tff(30348,plain,(~(constB39 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.20 tff(30349,assumption,(constB69 = sK_VarCurr), introduced(assumption)).
% 28.66/19.20 tff(30350,plain,
% 28.66/19.20 (v180(constB69) <=> v180(sK_VarCurr)),
% 28.66/19.20 inference(monotonicity,[status(thm)],[30349])).
% 28.66/19.20 tff(30351,plain,
% 28.66/19.20 (v180(sK_VarCurr) <=> v180(constB69)),
% 28.66/19.20 inference(symmetry,[status(thm)],[30350])).
% 28.66/19.20 tff(30352,plain,
% 28.66/19.20 (v180(constB69)),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[86, 30351])).
% 28.66/19.20 tff(30353,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB67, 2)) | v90(constB67, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB67, 2)) | v90(constB67, 2))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30354,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB67, 2)) | v90(constB67, 2))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30355,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB67, 2)) | v90(constB67, 2)),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30354, 30353])).
% 28.66/19.20 tff(30356,plain,
% 28.66/19.20 (~v88(constB67, 2)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30355, 27032, 9271])).
% 28.66/19.20 tff(30357,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB67, 1)) | v88(constB67, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB67, 1)) | v88(constB67, 1))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30358,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB67, 1)) | v88(constB67, 1))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30359,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB67, 1)) | v88(constB67, 1)),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30358, 30357])).
% 28.66/19.20 tff(30360,plain,
% 28.66/19.20 (v88(constB67, 1)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30359, 26945, 9302])).
% 28.66/19.20 tff(30361,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB67, 0)) | v88(constB67, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB67, 0)) | v88(constB67, 0))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30362,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB67, 0)) | v88(constB67, 0))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30363,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB67, 0)) | v88(constB67, 0)),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30362, 30361])).
% 28.66/19.20 tff(30364,plain,
% 28.66/19.20 (v88(constB67, 0)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30363, 27874, 9333])).
% 28.66/19.20 tff(30365,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB67, 2) | (~v88(constB67, 0)) | (~v88(constB67, 1)) | v141(constB67))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB67, 2) | (~v88(constB67, 0)) | (~v88(constB67, 1)) | v141(constB67))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30366,plain,
% 28.66/19.20 ((v88(constB67, 2) | (~v88(constB67, 1)) | (~v88(constB67, 0)) | v141(constB67)) <=> (v88(constB67, 2) | (~v88(constB67, 0)) | (~v88(constB67, 1)) | v141(constB67))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30367,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB67, 2) | (~v88(constB67, 1)) | (~v88(constB67, 0)) | v141(constB67))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB67, 2) | (~v88(constB67, 0)) | (~v88(constB67, 1)) | v141(constB67)))),
% 28.66/19.20 inference(monotonicity,[status(thm)],[30366])).
% 28.66/19.20 tff(30368,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB67, 2) | (~v88(constB67, 1)) | (~v88(constB67, 0)) | v141(constB67))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB67, 2) | (~v88(constB67, 0)) | (~v88(constB67, 1)) | v141(constB67))),
% 28.66/19.20 inference(transitivity,[status(thm)],[30367, 30365])).
% 28.66/19.20 tff(30369,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB67, 2) | (~v88(constB67, 1)) | (~v88(constB67, 0)) | v141(constB67))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30370,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB67, 2) | (~v88(constB67, 0)) | (~v88(constB67, 1)) | v141(constB67)),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30369, 30368])).
% 28.66/19.20 tff(30371,plain,
% 28.66/19.20 (v141(constB67)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30370, 28757, 30364, 30360, 30356])).
% 28.66/19.20 tff(30372,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB67)) | v166(constB67))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | (~v141(constB67)) | v166(constB67))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30373,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB67)) | v166(constB67))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30374,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | (~v141(constB67)) | v166(constB67)),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30373, 30372])).
% 28.66/19.20 tff(30375,plain,
% 28.66/19.20 (v166(constB67)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30374, 28771, 30371])).
% 28.66/19.20 tff(30376,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB67)) | v165(constB67))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (~v166(constB67)) | v165(constB67))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30377,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB67)) | v165(constB67))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30378,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (~v166(constB67)) | v165(constB67)),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30377, 30376])).
% 28.66/19.20 tff(30379,plain,
% 28.66/19.20 (v165(constB67)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30378, 28782, 30375])).
% 28.66/19.20 tff(30380,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB67) | (~v165(constB67)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB67) | (~v165(constB67)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30381,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB67) | (~v165(constB67)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30382,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB67) | (~v165(constB67))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30381, 30380])).
% 28.66/19.20 tff(30383,plain,
% 28.66/19.20 (v164(constB67)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30382, 27089, 30379])).
% 28.66/19.20 tff(30384,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB67)) | (~v88(constB67, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB67)) | (~v88(constB67, 1)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30385,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB67)) | (~v88(constB67, 1)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30386,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB67)) | (~v88(constB67, 1))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30385, 30384])).
% 28.66/19.20 tff(30387,plain,
% 28.66/19.20 (~v140(constB67)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30386, 27128, 30360])).
% 28.66/19.20 tff(30388,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB67)) | (~v88(constB67, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB67)) | (~v88(constB67, 0)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30389,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB67)) | (~v88(constB67, 0)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30390,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB67)) | (~v88(constB67, 0))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30389, 30388])).
% 28.66/19.20 tff(30391,plain,
% 28.66/19.20 (~v139(constB67)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30390, 27885, 30364])).
% 28.66/19.20 tff(30392,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB67) | v140(constB67) | (~v168(constB67)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB67) | v140(constB67) | (~v168(constB67)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30393,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB67) | v140(constB67) | (~v168(constB67)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30394,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB67) | v140(constB67) | (~v168(constB67))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30393, 30392])).
% 28.66/19.20 tff(30395,plain,
% 28.66/19.20 (~v168(constB67)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30394, 27142, 30391, 30387])).
% 28.66/19.20 tff(30396,plain,
% 28.66/19.20 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB67)) | v168(constB67) | (~v164(constB67)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB67)) | v168(constB67) | (~v164(constB67)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30397,plain,
% 28.66/19.20 (((~v164(constB67)) | v168(constB67) | (~v161(constB67))) <=> ((~v161(constB67)) | v168(constB67) | (~v164(constB67)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30398,plain,
% 28.66/19.20 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB67)) | v168(constB67) | (~v161(constB67)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB67)) | v168(constB67) | (~v164(constB67))))),
% 28.66/19.20 inference(monotonicity,[status(thm)],[30397])).
% 28.66/19.20 tff(30399,plain,
% 28.66/19.20 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB67)) | v168(constB67) | (~v161(constB67)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB67)) | v168(constB67) | (~v164(constB67)))),
% 28.66/19.20 inference(transitivity,[status(thm)],[30398, 30396])).
% 28.66/19.20 tff(30400,plain,
% 28.66/19.20 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB67)) | v168(constB67) | (~v161(constB67)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30401,plain,
% 28.66/19.20 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB67)) | v168(constB67) | (~v164(constB67))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30400, 30399])).
% 28.66/19.20 tff(30402,plain,
% 28.66/19.20 ((~v161(constB67)) | (~v164(constB67))),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30401, 27156, 30395])).
% 28.66/19.20 tff(30403,plain,
% 28.66/19.20 (~v161(constB67)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30402, 30383])).
% 28.66/19.20 tff(30404,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB67) | (~v187(constB67)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB67) | (~v187(constB67)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30405,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB67) | (~v187(constB67)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30406,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB67) | (~v187(constB67))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30405, 30404])).
% 28.66/19.20 tff(30407,plain,
% 28.66/19.20 (~v187(constB67)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30406, 27174, 30403])).
% 28.66/19.20 tff(30408,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB67) | (~v185(constB67)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB67) | (~v185(constB67)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30409,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB67) | (~v185(constB67)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30410,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB67) | (~v185(constB67))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30409, 30408])).
% 28.66/19.20 tff(30411,plain,
% 28.66/19.20 (~v185(constB67)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30410, 27188, 30407])).
% 28.66/19.20 tff(30412,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB65, 2)) | v90(constB65, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB65, 2)) | v90(constB65, 2))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30413,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB65, 2)) | v90(constB65, 2))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30414,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB65, 2)) | v90(constB65, 2)),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30413, 30412])).
% 28.66/19.20 tff(30415,plain,
% 28.66/19.20 (~v88(constB65, 2)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30414, 27032, 9068])).
% 28.66/19.20 tff(30416,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB65, 0)) | v90(constB65, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB65, 0)) | v90(constB65, 0))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30417,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB65, 0)) | v90(constB65, 0))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30418,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB65, 0)) | v90(constB65, 0)),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30417, 30416])).
% 28.66/19.20 tff(30419,plain,
% 28.66/19.20 (~v88(constB65, 0)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30418, 26990, 9133])).
% 28.66/19.20 tff(30420,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB65, 1)) | v88(constB65, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB65, 1)) | v88(constB65, 1))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30421,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB65, 1)) | v88(constB65, 1))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30422,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB65, 1)) | v88(constB65, 1)),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30421, 30420])).
% 28.66/19.20 tff(30423,plain,
% 28.66/19.20 (v88(constB65, 1)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30422, 26945, 9099])).
% 28.66/19.20 tff(30424,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB65, 0) | v88(constB65, 2) | (~v88(constB65, 1)) | v143(constB65))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB65, 0) | v88(constB65, 2) | (~v88(constB65, 1)) | v143(constB65))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30425,plain,
% 28.66/19.20 ((v88(constB65, 2) | (~v88(constB65, 1)) | v88(constB65, 0) | v143(constB65)) <=> (v88(constB65, 0) | v88(constB65, 2) | (~v88(constB65, 1)) | v143(constB65))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30426,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB65, 2) | (~v88(constB65, 1)) | v88(constB65, 0) | v143(constB65))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB65, 0) | v88(constB65, 2) | (~v88(constB65, 1)) | v143(constB65)))),
% 28.66/19.20 inference(monotonicity,[status(thm)],[30425])).
% 28.66/19.20 tff(30427,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB65, 2) | (~v88(constB65, 1)) | v88(constB65, 0) | v143(constB65))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB65, 0) | v88(constB65, 2) | (~v88(constB65, 1)) | v143(constB65))),
% 28.66/19.20 inference(transitivity,[status(thm)],[30426, 30424])).
% 28.66/19.20 tff(30428,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB65, 2) | (~v88(constB65, 1)) | v88(constB65, 0) | v143(constB65))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30429,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB65, 0) | v88(constB65, 2) | (~v88(constB65, 1)) | v143(constB65)),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30428, 30427])).
% 28.66/19.20 tff(30430,plain,
% 28.66/19.20 (v143(constB65)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30429, 27047, 30423, 30419, 30415])).
% 28.66/19.20 tff(30431,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB65)) | v142(constB65))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB65)) | v142(constB65))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30432,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB65)) | v142(constB65))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30433,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB65)) | v142(constB65)),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30432, 30431])).
% 28.66/19.20 tff(30434,plain,
% 28.66/19.20 (v142(constB65)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30433, 27064, 30430])).
% 28.66/19.20 tff(30435,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB65)) | v165(constB65))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB65)) | v165(constB65))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30436,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB65)) | v165(constB65))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30437,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB65)) | v165(constB65)),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30436, 30435])).
% 28.66/19.20 tff(30438,plain,
% 28.66/19.20 (v165(constB65)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30437, 27075, 30434])).
% 28.66/19.20 tff(30439,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB65) | (~v165(constB65)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB65) | (~v165(constB65)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30440,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB65) | (~v165(constB65)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30441,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB65) | (~v165(constB65))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30440, 30439])).
% 28.66/19.20 tff(30442,plain,
% 28.66/19.20 (v164(constB65)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30441, 27089, 30438])).
% 28.66/19.20 tff(30443,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB65)) | (~v88(constB65, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB65)) | (~v88(constB65, 1)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30444,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB65)) | (~v88(constB65, 1)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30445,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB65)) | (~v88(constB65, 1))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30444, 30443])).
% 28.66/19.20 tff(30446,plain,
% 28.66/19.20 (~v139(constB65)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30445, 27117, 30423])).
% 28.66/19.20 tff(30447,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB65)) | (~v88(constB65, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB65)) | (~v88(constB65, 1)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30448,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB65)) | (~v88(constB65, 1)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30449,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB65)) | (~v88(constB65, 1))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30448, 30447])).
% 28.66/19.20 tff(30450,plain,
% 28.66/19.20 (~v140(constB65)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30449, 27128, 30423])).
% 28.66/19.20 tff(30451,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB65) | v140(constB65) | (~v168(constB65)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB65) | v140(constB65) | (~v168(constB65)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30452,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB65) | v140(constB65) | (~v168(constB65)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30453,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB65) | v140(constB65) | (~v168(constB65))),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30452, 30451])).
% 28.66/19.20 tff(30454,plain,
% 28.66/19.20 (~v168(constB65)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30453, 27142, 30450, 30446])).
% 28.66/19.20 tff(30455,plain,
% 28.66/19.20 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB65)) | (~v164(constB65)) | v168(constB65))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB65)) | (~v164(constB65)) | v168(constB65))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30456,plain,
% 28.66/19.20 (((~v164(constB65)) | v168(constB65) | (~v161(constB65))) <=> ((~v161(constB65)) | (~v164(constB65)) | v168(constB65))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30457,plain,
% 28.66/19.20 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB65)) | v168(constB65) | (~v161(constB65)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB65)) | (~v164(constB65)) | v168(constB65)))),
% 28.66/19.20 inference(monotonicity,[status(thm)],[30456])).
% 28.66/19.20 tff(30458,plain,
% 28.66/19.20 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB65)) | v168(constB65) | (~v161(constB65)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB65)) | (~v164(constB65)) | v168(constB65))),
% 28.66/19.20 inference(transitivity,[status(thm)],[30457, 30455])).
% 28.66/19.20 tff(30459,plain,
% 28.66/19.20 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB65)) | v168(constB65) | (~v161(constB65)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.20 tff(30460,plain,
% 28.66/19.20 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB65)) | (~v164(constB65)) | v168(constB65)),
% 28.66/19.20 inference(modus_ponens,[status(thm)],[30459, 30458])).
% 28.66/19.20 tff(30461,plain,
% 28.66/19.20 ((~v161(constB65)) | (~v164(constB65))),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30460, 27156, 30454])).
% 28.66/19.20 tff(30462,plain,
% 28.66/19.20 (~v161(constB65)),
% 28.66/19.20 inference(unit_resolution,[status(thm)],[30461, 30442])).
% 28.66/19.20 tff(30463,plain,
% 28.66/19.20 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB65) | (~v187(constB65)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB65) | (~v187(constB65)))),
% 28.66/19.20 inference(rewrite,[status(thm)],[])).
% 28.66/19.20 tff(30464,plain,
% 28.66/19.20 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB65) | (~v187(constB65)))),
% 28.66/19.20 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30465,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB65) | (~v187(constB65))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30464, 30463])).
% 28.66/19.21 tff(30466,plain,
% 28.66/19.21 (~v187(constB65)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30465, 27174, 30462])).
% 28.66/19.21 tff(30467,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB65) | (~v185(constB65)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB65) | (~v185(constB65)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30468,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB65) | (~v185(constB65)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30469,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB65) | (~v185(constB65))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30468, 30467])).
% 28.66/19.21 tff(30470,plain,
% 28.66/19.21 (~v185(constB65)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30469, 27188, 30466])).
% 28.66/19.21 tff(30471,assumption,(v18(constB66)), introduced(assumption)).
% 28.66/19.21 tff(30472,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB66))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30473,plain,
% 28.66/19.21 ($false),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30472, 27200, 30471])).
% 28.66/19.21 tff(30474,plain,(~v18(constB66)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.21 tff(30475,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB66) | (~v1(constB66)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB66) | (~v1(constB66)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30476,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB66) | (~v1(constB66)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30477,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB66) | (~v1(constB66))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30476, 30475])).
% 28.66/19.21 tff(30478,plain,
% 28.66/19.21 (v22(constB66)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30477, 27216, 9208])).
% 28.66/19.21 tff(30479,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB66) | (~v22(constB66)) | (~v19(constB66)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB66) | (~v22(constB66)) | (~v19(constB66)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30480,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB66) | (~v22(constB66)) | (~v19(constB66)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30481,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB66) | (~v22(constB66)) | (~v19(constB66))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30480, 30479])).
% 28.66/19.21 tff(30482,plain,
% 28.66/19.21 (v18(constB66) | (~v19(constB66))),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30481, 27230, 30478])).
% 28.66/19.21 tff(30483,plain,
% 28.66/19.21 (~v19(constB66)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30482, 30474])).
% 28.66/19.21 tff(30484,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB66) | v19(constB66))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB66) | v19(constB66))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30485,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB66) | v19(constB66))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30486,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB66) | v19(constB66)),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30485, 30484])).
% 28.66/19.21 tff(30487,plain,
% 28.66/19.21 (v13(constB66)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30486, 27242, 30483])).
% 28.66/19.21 tff(30488,plain,
% 28.66/19.21 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB65) | (~v13(constB66)) | (~nextState(constB65, constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB65) | (~v13(constB66)) | (~nextState(constB65, constB66)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30489,plain,
% 28.66/19.21 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB65) | (~v13(constB66)) | (~nextState(constB65, constB66)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30490,plain,
% 28.66/19.21 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB65) | (~v13(constB66)) | (~nextState(constB65, constB66))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30489, 30488])).
% 28.66/19.21 tff(30491,plain,
% 28.66/19.21 (v9(constB65) | (~v13(constB66))),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30490, 27259, 9188])).
% 28.66/19.21 tff(30492,plain,
% 28.66/19.21 (v9(constB65)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30491, 30487])).
% 28.66/19.21 tff(30493,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB65) | (~v9(constB65)) | v184(constB65))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB65) | (~v9(constB65)) | v184(constB65))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30494,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB65) | (~v9(constB65)) | v184(constB65))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30495,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB65) | (~v9(constB65)) | v184(constB65)),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30494, 30493])).
% 28.66/19.21 tff(30496,plain,
% 28.66/19.21 ((~v9(constB65)) | v184(constB65)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30495, 27274, 9044])).
% 28.66/19.21 tff(30497,plain,
% 28.66/19.21 (v184(constB65)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30496, 30492])).
% 28.66/19.21 tff(30498,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB65)) | v183(constB65))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB65)) | v183(constB65))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30499,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB65)) | v183(constB65))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30500,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB65)) | v183(constB65)),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30499, 30498])).
% 28.66/19.21 tff(30501,plain,
% 28.66/19.21 (v183(constB65)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30500, 27286, 30497])).
% 28.66/19.21 tff(30502,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB65)) | (~v183(constB65)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB65)) | (~v183(constB65)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30503,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB65)) | (~v183(constB65)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30504,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB65)) | (~v183(constB65))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30503, 30502])).
% 28.66/19.21 tff(30505,plain,
% 28.66/19.21 (~v181(constB65)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30504, 27300, 30501])).
% 28.66/19.21 tff(30506,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB65) | v185(constB65) | (~v178(constB65)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB65) | v185(constB65) | (~v178(constB65)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30507,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB65) | v185(constB65) | (~v178(constB65)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30508,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB65) | v185(constB65) | (~v178(constB65))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30507, 30506])).
% 28.66/19.21 tff(30509,plain,
% 28.66/19.21 (v185(constB65) | (~v178(constB65))),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30508, 27314, 30505])).
% 28.66/19.21 tff(30510,plain,
% 28.66/19.21 (~v178(constB65)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30509, 30470])).
% 28.66/19.21 tff(30511,plain,
% 28.66/19.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB65, constB66)) | v178(constB65) | (~v180(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB65, constB66)) | v178(constB65) | (~v180(constB66)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30512,plain,
% 28.66/19.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB65, constB66)) | v178(constB65) | (~v180(constB66)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30513,plain,
% 28.66/19.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB65, constB66)) | v178(constB65) | (~v180(constB66))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30512, 30511])).
% 28.66/19.21 tff(30514,plain,
% 28.66/19.21 (v178(constB65) | (~v180(constB66))),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30513, 27329, 9188])).
% 28.66/19.21 tff(30515,plain,
% 28.66/19.21 (~v180(constB66)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30514, 30510])).
% 28.66/19.21 tff(30516,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB66) | (~v181(constB66)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB66) | (~v181(constB66)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30517,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB66) | (~v181(constB66)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30518,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB66) | (~v181(constB66))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30517, 30516])).
% 28.66/19.21 tff(30519,plain,
% 28.66/19.21 (~v181(constB66)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30518, 27344, 30515])).
% 28.66/19.21 tff(30520,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB66)) | (~v184(constB66)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB66)) | (~v184(constB66)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30521,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB66)) | (~v184(constB66)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30522,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB66)) | (~v184(constB66))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30521, 30520])).
% 28.66/19.21 tff(30523,plain,
% 28.66/19.21 (~v184(constB66)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30522, 59, 9208])).
% 28.66/19.21 tff(30524,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB66) | (~v187(constB66)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB66) | (~v187(constB66)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30525,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB66) | (~v187(constB66)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30526,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB66) | (~v187(constB66))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30525, 30524])).
% 28.66/19.21 tff(30527,plain,
% 28.66/19.21 (~v187(constB66)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30526, 27362, 30523])).
% 28.66/19.21 tff(30528,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB66) | (~v185(constB66)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB66) | (~v185(constB66)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30529,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB66) | (~v185(constB66)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30530,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB66) | (~v185(constB66))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30529, 30528])).
% 28.66/19.21 tff(30531,plain,
% 28.66/19.21 (~v185(constB66)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30530, 27188, 30527])).
% 28.66/19.21 tff(30532,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB66) | v185(constB66) | (~v178(constB66)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB66) | v185(constB66) | (~v178(constB66)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30533,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB66) | v185(constB66) | (~v178(constB66)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30534,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB66) | v185(constB66) | (~v178(constB66))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30533, 30532])).
% 28.66/19.21 tff(30535,plain,
% 28.66/19.21 (v181(constB66) | (~v178(constB66))),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30534, 27314, 30531])).
% 28.66/19.21 tff(30536,plain,
% 28.66/19.21 (~v178(constB66)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30535, 30519])).
% 28.66/19.21 tff(30537,plain,
% 28.66/19.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB66, constB67)) | v178(constB66) | (~v180(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB66, constB67)) | v178(constB66) | (~v180(constB67)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30538,plain,
% 28.66/19.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB66, constB67)) | v178(constB66) | (~v180(constB67)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30539,plain,
% 28.66/19.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB66, constB67)) | v178(constB66) | (~v180(constB67))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30538, 30537])).
% 28.66/19.21 tff(30540,plain,
% 28.66/19.21 (v178(constB66) | (~v180(constB67))),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30539, 27329, 9250])).
% 28.66/19.21 tff(30541,plain,
% 28.66/19.21 (~v180(constB67)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30540, 30536])).
% 28.66/19.21 tff(30542,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB67) | (~v181(constB67)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB67) | (~v181(constB67)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30543,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB67) | (~v181(constB67)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30544,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB67) | (~v181(constB67))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30543, 30542])).
% 28.66/19.21 tff(30545,plain,
% 28.66/19.21 (~v181(constB67)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30544, 27344, 30541])).
% 28.66/19.21 tff(30546,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB67) | v185(constB67) | (~v178(constB67)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB67) | v185(constB67) | (~v178(constB67)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30547,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB67) | v185(constB67) | (~v178(constB67)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30548,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB67) | v185(constB67) | (~v178(constB67))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30547, 30546])).
% 28.66/19.21 tff(30549,plain,
% 28.66/19.21 (v185(constB67) | (~v178(constB67))),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30548, 27314, 30545])).
% 28.66/19.21 tff(30550,plain,
% 28.66/19.21 (~v178(constB67)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30549, 30411])).
% 28.66/19.21 tff(30551,plain,
% 28.66/19.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB67, constB68)) | v178(constB67) | (~v180(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB67, constB68)) | v178(constB67) | (~v180(constB68)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30552,plain,
% 28.66/19.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB67, constB68)) | v178(constB67) | (~v180(constB68)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30553,plain,
% 28.66/19.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB67, constB68)) | v178(constB67) | (~v180(constB68))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30552, 30551])).
% 28.66/19.21 tff(30554,plain,
% 28.66/19.21 (v178(constB67) | (~v180(constB68))),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30553, 27329, 9384])).
% 28.66/19.21 tff(30555,plain,
% 28.66/19.21 (~v180(constB68)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30554, 30550])).
% 28.66/19.21 tff(30556,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB68) | (~v181(constB68)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB68) | (~v181(constB68)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30557,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB68) | (~v181(constB68)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30558,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB68) | (~v181(constB68))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30557, 30556])).
% 28.66/19.21 tff(30559,plain,
% 28.66/19.21 (~v181(constB68)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30558, 27344, 30555])).
% 28.66/19.21 tff(30560,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB68)) | (~v184(constB68)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB68)) | (~v184(constB68)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30561,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB68)) | (~v184(constB68)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30562,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB68)) | (~v184(constB68))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30561, 30560])).
% 28.66/19.21 tff(30563,plain,
% 28.66/19.21 (~v184(constB68)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30562, 59, 9404])).
% 28.66/19.21 tff(30564,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB68) | (~v187(constB68)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB68) | (~v187(constB68)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30565,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB68) | (~v187(constB68)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30566,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB68) | (~v187(constB68))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30565, 30564])).
% 28.66/19.21 tff(30567,plain,
% 28.66/19.21 (~v187(constB68)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30566, 27362, 30563])).
% 28.66/19.21 tff(30568,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB68) | (~v185(constB68)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB68) | (~v185(constB68)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30569,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB68) | (~v185(constB68)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30570,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB68) | (~v185(constB68))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30569, 30568])).
% 28.66/19.21 tff(30571,plain,
% 28.66/19.21 (~v185(constB68)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30570, 27188, 30567])).
% 28.66/19.21 tff(30572,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB68) | v185(constB68) | (~v178(constB68)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB68) | v185(constB68) | (~v178(constB68)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30573,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB68) | v185(constB68) | (~v178(constB68)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30574,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB68) | v185(constB68) | (~v178(constB68))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30573, 30572])).
% 28.66/19.21 tff(30575,plain,
% 28.66/19.21 (v181(constB68) | (~v178(constB68))),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30574, 27314, 30571])).
% 28.66/19.21 tff(30576,plain,
% 28.66/19.21 (~v178(constB68)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30575, 30559])).
% 28.66/19.21 tff(30577,plain,
% 28.66/19.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB68, constB69)) | v178(constB68) | (~v180(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB68, constB69)) | v178(constB68) | (~v180(constB69)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30578,plain,
% 28.66/19.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB68, constB69)) | v178(constB68) | (~v180(constB69)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30579,plain,
% 28.66/19.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB68, constB69)) | v178(constB68) | (~v180(constB69))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30578, 30577])).
% 28.66/19.21 tff(30580,plain,
% 28.66/19.21 (v178(constB68) | (~v180(constB69))),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30579, 27329, 9446])).
% 28.66/19.21 tff(30581,plain,
% 28.66/19.21 (~v180(constB69)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30580, 30576])).
% 28.66/19.21 tff(30582,plain,
% 28.66/19.21 ($false),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30581, 30352])).
% 28.66/19.21 tff(30583,plain,(~(constB69 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.21 tff(30584,assumption,(constB53 = sK_VarCurr), introduced(assumption)).
% 28.66/19.21 tff(30585,plain,
% 28.66/19.21 (v86(constB53) <=> v86(sK_VarCurr)),
% 28.66/19.21 inference(monotonicity,[status(thm)],[30584])).
% 28.66/19.21 tff(30586,plain,
% 28.66/19.21 (v86(sK_VarCurr) <=> v86(constB53)),
% 28.66/19.21 inference(symmetry,[status(thm)],[30585])).
% 28.66/19.21 tff(30587,plain,
% 28.66/19.21 ((~v86(sK_VarCurr)) <=> (~v86(constB53))),
% 28.66/19.21 inference(monotonicity,[status(thm)],[30586])).
% 28.66/19.21 tff(30588,plain,
% 28.66/19.21 (~v86(constB53)),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[29494, 30587])).
% 28.66/19.21 tff(30589,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (v148(constB53) | (~v142(constB53)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB53) | (~v142(constB53)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30590,plain,
% 28.66/19.21 (((~v142(constB53)) | v148(constB53)) <=> (v148(constB53) | (~v142(constB53)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30591,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB53)) | v148(constB53))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (v148(constB53) | (~v142(constB53))))),
% 28.66/19.21 inference(monotonicity,[status(thm)],[30590])).
% 28.66/19.21 tff(30592,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB53)) | v148(constB53))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB53) | (~v142(constB53)))),
% 28.66/19.21 inference(transitivity,[status(thm)],[30591, 30589])).
% 28.66/19.21 tff(30593,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB53)) | v148(constB53))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30594,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB53) | (~v142(constB53))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30593, 30592])).
% 28.66/19.21 tff(30595,plain,
% 28.66/19.21 (v148(constB53)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30594, 29528, 28656])).
% 28.66/19.21 tff(30596,plain,
% 28.66/19.21 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | (v86(constB53) | (~v164(constB53)) | (~v148(constB53)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB53) | (~v164(constB53)) | (~v148(constB53)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30597,plain,
% 28.66/19.21 (((~v148(constB53)) | v86(constB53) | (~v164(constB53))) <=> (v86(constB53) | (~v164(constB53)) | (~v148(constB53)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30598,plain,
% 28.66/19.21 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB53)) | v86(constB53) | (~v164(constB53)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | (v86(constB53) | (~v164(constB53)) | (~v148(constB53))))),
% 28.66/19.21 inference(monotonicity,[status(thm)],[30597])).
% 28.66/19.21 tff(30599,plain,
% 28.66/19.21 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB53)) | v86(constB53) | (~v164(constB53)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB53) | (~v164(constB53)) | (~v148(constB53)))),
% 28.66/19.21 inference(transitivity,[status(thm)],[30598, 30596])).
% 28.66/19.21 tff(30600,plain,
% 28.66/19.21 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB53)) | v86(constB53) | (~v164(constB53)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30601,plain,
% 28.66/19.21 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB53) | (~v164(constB53)) | (~v148(constB53))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30600, 30599])).
% 28.66/19.21 tff(30602,plain,
% 28.66/19.21 (v86(constB53)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30601, 29550, 28667, 30595])).
% 28.66/19.21 tff(30603,plain,
% 28.66/19.21 ($false),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30602, 30588])).
% 28.66/19.21 tff(30604,plain,(~(constB53 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.21 tff(30605,assumption,(constB200 = sK_VarCurr), introduced(assumption)).
% 28.66/19.21 tff(30606,plain,
% 28.66/19.21 (v1(constB200) <=> v1(sK_VarCurr)),
% 28.66/19.21 inference(monotonicity,[status(thm)],[30605])).
% 28.66/19.21 tff(30607,plain,
% 28.66/19.21 (v1(sK_VarCurr) <=> v1(constB200)),
% 28.66/19.21 inference(symmetry,[status(thm)],[30606])).
% 28.66/19.21 tff(30608,plain,
% 28.66/19.21 ((~v1(sK_VarCurr)) <=> (~v1(constB200))),
% 28.66/19.21 inference(monotonicity,[status(thm)],[30607])).
% 28.66/19.21 tff(30609,plain,
% 28.66/19.21 (~v1(constB200)),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[63, 30608])).
% 28.66/19.21 tff(30610,plain,
% 28.66/19.21 (v1(constB200) <=> v1(constB200)),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30611,axiom,(v1(constB200)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_200_1')).
% 28.66/19.21 tff(30612,plain,
% 28.66/19.21 (v1(constB200)),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30611, 30610])).
% 28.66/19.21 tff(30613,plain,
% 28.66/19.21 ($false),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30612, 30609])).
% 28.66/19.21 tff(30614,plain,(~(constB200 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.21 tff(30615,assumption,(constB63 = sK_VarCurr), introduced(assumption)).
% 28.66/19.21 tff(30616,plain,
% 28.66/19.21 (v180(constB63) <=> v180(sK_VarCurr)),
% 28.66/19.21 inference(monotonicity,[status(thm)],[30615])).
% 28.66/19.21 tff(30617,plain,
% 28.66/19.21 (v180(sK_VarCurr) <=> v180(constB63)),
% 28.66/19.21 inference(symmetry,[status(thm)],[30616])).
% 28.66/19.21 tff(30618,plain,
% 28.66/19.21 (v180(constB63)),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[86, 30617])).
% 28.66/19.21 tff(30619,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB61, 0)) | v90(constB61, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB61, 0)) | v90(constB61, 0))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30620,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB61, 0)) | v90(constB61, 0))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30621,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB61, 0)) | v90(constB61, 0)),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30620, 30619])).
% 28.66/19.21 tff(30622,plain,
% 28.66/19.21 (~v88(constB61, 0)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30621, 26990, 8549])).
% 28.66/19.21 tff(30623,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB61, 2)) | v88(constB61, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB61, 2)) | v88(constB61, 2))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30624,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB61, 2)) | v88(constB61, 2))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30625,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB61, 2)) | v88(constB61, 2)),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30624, 30623])).
% 28.66/19.21 tff(30626,plain,
% 28.66/19.21 (v88(constB61, 2)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30625, 27680, 8484])).
% 28.66/19.21 tff(30627,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB61, 1)) | v88(constB61, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB61, 1)) | v88(constB61, 1))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30628,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB61, 1)) | v88(constB61, 1))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30629,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB61, 1)) | v88(constB61, 1)),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30628, 30627])).
% 28.66/19.21 tff(30630,plain,
% 28.66/19.21 (v88(constB61, 1)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30629, 26945, 8515])).
% 28.66/19.21 tff(30631,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB61, 1)) | (~v88(constB61, 2)) | v88(constB61, 0) | v144(constB61))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB61, 1)) | (~v88(constB61, 2)) | v88(constB61, 0) | v144(constB61))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30632,plain,
% 28.66/19.21 (((~v88(constB61, 2)) | (~v88(constB61, 1)) | v88(constB61, 0) | v144(constB61)) <=> ((~v88(constB61, 1)) | (~v88(constB61, 2)) | v88(constB61, 0) | v144(constB61))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30633,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB61, 2)) | (~v88(constB61, 1)) | v88(constB61, 0) | v144(constB61))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB61, 1)) | (~v88(constB61, 2)) | v88(constB61, 0) | v144(constB61)))),
% 28.66/19.21 inference(monotonicity,[status(thm)],[30632])).
% 28.66/19.21 tff(30634,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB61, 2)) | (~v88(constB61, 1)) | v88(constB61, 0) | v144(constB61))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB61, 1)) | (~v88(constB61, 2)) | v88(constB61, 0) | v144(constB61))),
% 28.66/19.21 inference(transitivity,[status(thm)],[30633, 30631])).
% 28.66/19.21 tff(30635,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB61, 2)) | (~v88(constB61, 1)) | v88(constB61, 0) | v144(constB61))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30636,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB61, 1)) | (~v88(constB61, 2)) | v88(constB61, 0) | v144(constB61)),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30635, 30634])).
% 28.66/19.21 tff(30637,plain,
% 28.66/19.21 (v144(constB61)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30636, 28458, 30630, 30626, 30622])).
% 28.66/19.21 tff(30638,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB61)) | v142(constB61))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB61)) | v142(constB61))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30639,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB61)) | v142(constB61))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30640,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB61)) | v142(constB61)),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30639, 30638])).
% 28.66/19.21 tff(30641,plain,
% 28.66/19.21 (v142(constB61)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30640, 28472, 30637])).
% 28.66/19.21 tff(30642,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB61)) | v165(constB61))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB61)) | v165(constB61))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30643,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB61)) | v165(constB61))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30644,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB61)) | v165(constB61)),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30643, 30642])).
% 28.66/19.21 tff(30645,plain,
% 28.66/19.21 (v165(constB61)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30644, 27075, 30641])).
% 28.66/19.21 tff(30646,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB61) | (~v165(constB61)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB61) | (~v165(constB61)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30647,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB61) | (~v165(constB61)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30648,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB61) | (~v165(constB61))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30647, 30646])).
% 28.66/19.21 tff(30649,plain,
% 28.66/19.21 (v164(constB61)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30648, 27089, 30645])).
% 28.66/19.21 tff(30650,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB61)) | (~v88(constB61, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB61)) | (~v88(constB61, 1)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30651,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB61)) | (~v88(constB61, 1)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30652,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB61)) | (~v88(constB61, 1))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30651, 30650])).
% 28.66/19.21 tff(30653,plain,
% 28.66/19.21 (~v139(constB61)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30652, 27117, 30630])).
% 28.66/19.21 tff(30654,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB61)) | (~v88(constB61, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB61)) | (~v88(constB61, 1)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30655,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB61)) | (~v88(constB61, 1)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30656,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB61)) | (~v88(constB61, 1))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30655, 30654])).
% 28.66/19.21 tff(30657,plain,
% 28.66/19.21 (~v140(constB61)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30656, 27128, 30630])).
% 28.66/19.21 tff(30658,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB61) | v140(constB61) | (~v168(constB61)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB61) | v140(constB61) | (~v168(constB61)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30659,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB61) | v140(constB61) | (~v168(constB61)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30660,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB61) | v140(constB61) | (~v168(constB61))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30659, 30658])).
% 28.66/19.21 tff(30661,plain,
% 28.66/19.21 (~v168(constB61)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30660, 27142, 30657, 30653])).
% 28.66/19.21 tff(30662,plain,
% 28.66/19.21 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB61)) | (~v164(constB61)) | v168(constB61))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB61)) | (~v164(constB61)) | v168(constB61))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30663,plain,
% 28.66/19.21 (((~v164(constB61)) | v168(constB61) | (~v161(constB61))) <=> ((~v161(constB61)) | (~v164(constB61)) | v168(constB61))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30664,plain,
% 28.66/19.21 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB61)) | v168(constB61) | (~v161(constB61)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB61)) | (~v164(constB61)) | v168(constB61)))),
% 28.66/19.21 inference(monotonicity,[status(thm)],[30663])).
% 28.66/19.21 tff(30665,plain,
% 28.66/19.21 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB61)) | v168(constB61) | (~v161(constB61)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB61)) | (~v164(constB61)) | v168(constB61))),
% 28.66/19.21 inference(transitivity,[status(thm)],[30664, 30662])).
% 28.66/19.21 tff(30666,plain,
% 28.66/19.21 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB61)) | v168(constB61) | (~v161(constB61)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30667,plain,
% 28.66/19.21 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB61)) | (~v164(constB61)) | v168(constB61)),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30666, 30665])).
% 28.66/19.21 tff(30668,plain,
% 28.66/19.21 ((~v161(constB61)) | (~v164(constB61))),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30667, 27156, 30661])).
% 28.66/19.21 tff(30669,plain,
% 28.66/19.21 (~v161(constB61)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30668, 30649])).
% 28.66/19.21 tff(30670,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB61) | (~v187(constB61)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB61) | (~v187(constB61)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30671,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB61) | (~v187(constB61)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30672,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB61) | (~v187(constB61))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30671, 30670])).
% 28.66/19.21 tff(30673,plain,
% 28.66/19.21 (~v187(constB61)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30672, 27174, 30669])).
% 28.66/19.21 tff(30674,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB61) | (~v185(constB61)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB61) | (~v185(constB61)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30675,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB61) | (~v185(constB61)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30676,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB61) | (~v185(constB61))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30675, 30674])).
% 28.66/19.21 tff(30677,plain,
% 28.66/19.21 (~v185(constB61)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30676, 27188, 30673])).
% 28.66/19.21 tff(30678,assumption,(v18(constB62)), introduced(assumption)).
% 28.66/19.21 tff(30679,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB62))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30680,plain,
% 28.66/19.21 ($false),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30679, 27200, 30678])).
% 28.66/19.21 tff(30681,plain,(~v18(constB62)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.21 tff(30682,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB62) | (~v1(constB62)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB62) | (~v1(constB62)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30683,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB62) | (~v1(constB62)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30684,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB62) | (~v1(constB62))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30683, 30682])).
% 28.66/19.21 tff(30685,plain,
% 28.66/19.21 (v22(constB62)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30684, 27216, 8602])).
% 28.66/19.21 tff(30686,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB62) | (~v22(constB62)) | (~v19(constB62)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB62) | (~v22(constB62)) | (~v19(constB62)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30687,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB62) | (~v22(constB62)) | (~v19(constB62)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30688,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB62) | (~v22(constB62)) | (~v19(constB62))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30687, 30686])).
% 28.66/19.21 tff(30689,plain,
% 28.66/19.21 (v18(constB62) | (~v19(constB62))),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30688, 27230, 30685])).
% 28.66/19.21 tff(30690,plain,
% 28.66/19.21 (~v19(constB62)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30689, 30681])).
% 28.66/19.21 tff(30691,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB62) | v19(constB62))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB62) | v19(constB62))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30692,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB62) | v19(constB62))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30693,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB62) | v19(constB62)),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30692, 30691])).
% 28.66/19.21 tff(30694,plain,
% 28.66/19.21 (v13(constB62)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30693, 27242, 30690])).
% 28.66/19.21 tff(30695,plain,
% 28.66/19.21 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB61) | (~v13(constB62)) | (~nextState(constB61, constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB61) | (~v13(constB62)) | (~nextState(constB61, constB62)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30696,plain,
% 28.66/19.21 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB61) | (~v13(constB62)) | (~nextState(constB61, constB62)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30697,plain,
% 28.66/19.21 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB61) | (~v13(constB62)) | (~nextState(constB61, constB62))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30696, 30695])).
% 28.66/19.21 tff(30698,plain,
% 28.66/19.21 (v9(constB61) | (~v13(constB62))),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30697, 27259, 8582])).
% 28.66/19.21 tff(30699,plain,
% 28.66/19.21 (v9(constB61)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30698, 30694])).
% 28.66/19.21 tff(30700,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB61) | (~v9(constB61)) | v184(constB61))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB61) | (~v9(constB61)) | v184(constB61))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30701,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB61) | (~v9(constB61)) | v184(constB61))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30702,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB61) | (~v9(constB61)) | v184(constB61)),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30701, 30700])).
% 28.66/19.21 tff(30703,plain,
% 28.66/19.21 ((~v9(constB61)) | v184(constB61)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30702, 27274, 8460])).
% 28.66/19.21 tff(30704,plain,
% 28.66/19.21 (v184(constB61)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30703, 30699])).
% 28.66/19.21 tff(30705,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB61)) | v183(constB61))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB61)) | v183(constB61))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30706,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB61)) | v183(constB61))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30707,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB61)) | v183(constB61)),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30706, 30705])).
% 28.66/19.21 tff(30708,plain,
% 28.66/19.21 (v183(constB61)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30707, 27286, 30704])).
% 28.66/19.21 tff(30709,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB61)) | (~v183(constB61)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB61)) | (~v183(constB61)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30710,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB61)) | (~v183(constB61)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30711,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB61)) | (~v183(constB61))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30710, 30709])).
% 28.66/19.21 tff(30712,plain,
% 28.66/19.21 (~v181(constB61)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30711, 27300, 30708])).
% 28.66/19.21 tff(30713,plain,
% 28.66/19.21 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB61) | v185(constB61) | (~v178(constB61)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB61) | v185(constB61) | (~v178(constB61)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30714,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB61) | v185(constB61) | (~v178(constB61)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30715,plain,
% 28.66/19.21 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB61) | v185(constB61) | (~v178(constB61))),
% 28.66/19.21 inference(modus_ponens,[status(thm)],[30714, 30713])).
% 28.66/19.21 tff(30716,plain,
% 28.66/19.21 (v185(constB61) | (~v178(constB61))),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30715, 27314, 30712])).
% 28.66/19.21 tff(30717,plain,
% 28.66/19.21 (~v178(constB61)),
% 28.66/19.21 inference(unit_resolution,[status(thm)],[30716, 30677])).
% 28.66/19.21 tff(30718,plain,
% 28.66/19.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB61, constB62)) | v178(constB61) | (~v180(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB61, constB62)) | v178(constB61) | (~v180(constB62)))),
% 28.66/19.21 inference(rewrite,[status(thm)],[])).
% 28.66/19.21 tff(30719,plain,
% 28.66/19.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB61, constB62)) | v178(constB61) | (~v180(constB62)))),
% 28.66/19.21 inference(quant_inst,[status(thm)],[])).
% 28.66/19.21 tff(30720,plain,
% 28.66/19.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB61, constB62)) | v178(constB61) | (~v180(constB62))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30719, 30718])).
% 28.66/19.22 tff(30721,plain,
% 28.66/19.22 (v178(constB61) | (~v180(constB62))),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30720, 27329, 8582])).
% 28.66/19.22 tff(30722,plain,
% 28.66/19.22 (~v180(constB62)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30721, 30717])).
% 28.66/19.22 tff(30723,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB62) | (~v181(constB62)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB62) | (~v181(constB62)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30724,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB62) | (~v181(constB62)))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30725,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB62) | (~v181(constB62))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30724, 30723])).
% 28.66/19.22 tff(30726,plain,
% 28.66/19.22 (~v181(constB62)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30725, 27344, 30722])).
% 28.66/19.22 tff(30727,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB62)) | (~v184(constB62)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB62)) | (~v184(constB62)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30728,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB62)) | (~v184(constB62)))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30729,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB62)) | (~v184(constB62))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30728, 30727])).
% 28.66/19.22 tff(30730,plain,
% 28.66/19.22 (~v184(constB62)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30729, 59, 8602])).
% 28.66/19.22 tff(30731,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB62) | (~v187(constB62)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB62) | (~v187(constB62)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30732,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB62) | (~v187(constB62)))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30733,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB62) | (~v187(constB62))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30732, 30731])).
% 28.66/19.22 tff(30734,plain,
% 28.66/19.22 (~v187(constB62)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30733, 27362, 30730])).
% 28.66/19.22 tff(30735,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB62) | (~v185(constB62)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB62) | (~v185(constB62)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30736,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB62) | (~v185(constB62)))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30737,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB62) | (~v185(constB62))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30736, 30735])).
% 28.66/19.22 tff(30738,plain,
% 28.66/19.22 (~v185(constB62)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30737, 27188, 30734])).
% 28.66/19.22 tff(30739,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB62) | v185(constB62) | (~v178(constB62)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB62) | v185(constB62) | (~v178(constB62)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30740,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB62) | v185(constB62) | (~v178(constB62)))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30741,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB62) | v185(constB62) | (~v178(constB62))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30740, 30739])).
% 28.66/19.22 tff(30742,plain,
% 28.66/19.22 (v181(constB62) | (~v178(constB62))),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30741, 27314, 30738])).
% 28.66/19.22 tff(30743,plain,
% 28.66/19.22 (~v178(constB62)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30742, 30726])).
% 28.66/19.22 tff(30744,plain,
% 28.66/19.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB62, constB63)) | v178(constB62) | (~v180(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB62, constB63)) | v178(constB62) | (~v180(constB63)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30745,plain,
% 28.66/19.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB62, constB63)) | v178(constB62) | (~v180(constB63)))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30746,plain,
% 28.66/19.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB62, constB63)) | v178(constB62) | (~v180(constB63))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30745, 30744])).
% 28.66/19.22 tff(30747,plain,
% 28.66/19.22 (v178(constB62) | (~v180(constB63))),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30746, 27329, 8668])).
% 28.66/19.22 tff(30748,plain,
% 28.66/19.22 (~v180(constB63)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30747, 30743])).
% 28.66/19.22 tff(30749,plain,
% 28.66/19.22 ($false),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30748, 30618])).
% 28.66/19.22 tff(30750,plain,(~(constB63 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.22 tff(30751,assumption,(constB137 = sK_VarCurr), introduced(assumption)).
% 28.66/19.22 tff(30752,plain,
% 28.66/19.22 (v86(constB137) <=> v86(sK_VarCurr)),
% 28.66/19.22 inference(monotonicity,[status(thm)],[30751])).
% 28.66/19.22 tff(30753,plain,
% 28.66/19.22 (v86(sK_VarCurr) <=> v86(constB137)),
% 28.66/19.22 inference(symmetry,[status(thm)],[30752])).
% 28.66/19.22 tff(30754,plain,
% 28.66/19.22 ((~v86(sK_VarCurr)) <=> (~v86(constB137))),
% 28.66/19.22 inference(monotonicity,[status(thm)],[30753])).
% 28.66/19.22 tff(30755,plain,
% 28.66/19.22 (~v86(constB137)),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[29494, 30754])).
% 28.66/19.22 tff(30756,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB137, 1)) | v88(constB137, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB137, 1)) | v88(constB137, 1))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30757,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB137, 1)) | v88(constB137, 1))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30758,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB137, 1)) | v88(constB137, 1)),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30757, 30756])).
% 28.66/19.22 tff(30759,plain,
% 28.66/19.22 (v88(constB137, 1)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30758, 26945, 20359])).
% 28.66/19.22 tff(30760,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB137, 0)) | v90(constB137, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB137, 0)) | v90(constB137, 0))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30761,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB137, 0)) | v90(constB137, 0))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30762,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB137, 0)) | v90(constB137, 0)),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30761, 30760])).
% 28.66/19.22 tff(30763,plain,
% 28.66/19.22 (~v88(constB137, 0)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30762, 26990, 20328])).
% 28.66/19.22 tff(30764,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB137, 2)) | v90(constB137, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB137, 2)) | v90(constB137, 2))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30765,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB137, 2)) | v90(constB137, 2))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30766,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB137, 2)) | v90(constB137, 2)),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30765, 30764])).
% 28.66/19.22 tff(30767,plain,
% 28.66/19.22 (~v88(constB137, 2)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30766, 27032, 20360])).
% 28.66/19.22 tff(30768,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB137, 2) | (~v88(constB137, 1)) | v88(constB137, 0) | v143(constB137))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB137, 2) | (~v88(constB137, 1)) | v88(constB137, 0) | v143(constB137))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30769,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB137, 2) | (~v88(constB137, 1)) | v88(constB137, 0) | v143(constB137))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30770,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB137, 2) | (~v88(constB137, 1)) | v88(constB137, 0) | v143(constB137)),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30769, 30768])).
% 28.66/19.22 tff(30771,plain,
% 28.66/19.22 ((~v88(constB137, 1)) | v88(constB137, 0) | v143(constB137)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30770, 27047, 30767])).
% 28.66/19.22 tff(30772,plain,
% 28.66/19.22 (v143(constB137)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30771, 30763, 30759])).
% 28.66/19.22 tff(30773,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB137) | (~v143(constB137)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB137) | (~v143(constB137)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30774,plain,
% 28.66/19.22 (((~v143(constB137)) | v142(constB137)) <=> (v142(constB137) | (~v143(constB137)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30775,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB137)) | v142(constB137))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB137) | (~v143(constB137))))),
% 28.66/19.22 inference(monotonicity,[status(thm)],[30774])).
% 28.66/19.22 tff(30776,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB137)) | v142(constB137))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB137) | (~v143(constB137)))),
% 28.66/19.22 inference(transitivity,[status(thm)],[30775, 30773])).
% 28.66/19.22 tff(30777,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB137)) | v142(constB137))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30778,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB137) | (~v143(constB137))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30777, 30776])).
% 28.66/19.22 tff(30779,plain,
% 28.66/19.22 (v142(constB137)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30778, 27064, 30772])).
% 28.66/19.22 tff(30780,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB137)) | v148(constB137))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB137)) | v148(constB137))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30781,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB137)) | v148(constB137))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30782,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB137)) | v148(constB137)),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30781, 30780])).
% 28.66/19.22 tff(30783,plain,
% 28.66/19.22 (v148(constB137)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30782, 29528, 30779])).
% 28.66/19.22 tff(30784,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB137)) | v165(constB137))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB137)) | v165(constB137))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30785,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB137)) | v165(constB137))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30786,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB137)) | v165(constB137)),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30785, 30784])).
% 28.66/19.22 tff(30787,plain,
% 28.66/19.22 (v165(constB137)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30786, 27075, 30779])).
% 28.66/19.22 tff(30788,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB137) | (~v165(constB137)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB137) | (~v165(constB137)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30789,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB137) | (~v165(constB137)))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30790,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB137) | (~v165(constB137))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30789, 30788])).
% 28.66/19.22 tff(30791,plain,
% 28.66/19.22 (v164(constB137)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30790, 27089, 30787])).
% 28.66/19.22 tff(30792,plain,
% 28.66/19.22 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | (v86(constB137) | (~v164(constB137)) | (~v148(constB137)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB137) | (~v164(constB137)) | (~v148(constB137)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30793,plain,
% 28.66/19.22 (((~v148(constB137)) | v86(constB137) | (~v164(constB137))) <=> (v86(constB137) | (~v164(constB137)) | (~v148(constB137)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30794,plain,
% 28.66/19.22 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB137)) | v86(constB137) | (~v164(constB137)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | (v86(constB137) | (~v164(constB137)) | (~v148(constB137))))),
% 28.66/19.22 inference(monotonicity,[status(thm)],[30793])).
% 28.66/19.22 tff(30795,plain,
% 28.66/19.22 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB137)) | v86(constB137) | (~v164(constB137)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB137) | (~v164(constB137)) | (~v148(constB137)))),
% 28.66/19.22 inference(transitivity,[status(thm)],[30794, 30792])).
% 28.66/19.22 tff(30796,plain,
% 28.66/19.22 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB137)) | v86(constB137) | (~v164(constB137)))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30797,plain,
% 28.66/19.22 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB137) | (~v164(constB137)) | (~v148(constB137))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30796, 30795])).
% 28.66/19.22 tff(30798,plain,
% 28.66/19.22 (v86(constB137)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30797, 29550, 30791, 30783])).
% 28.66/19.22 tff(30799,plain,
% 28.66/19.22 ($false),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30798, 30755])).
% 28.66/19.22 tff(30800,plain,(~(constB137 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.22 tff(30801,assumption,(constB4 = sK_VarCurr), introduced(assumption)).
% 28.66/19.22 tff(30802,plain,
% 28.66/19.22 (v1(constB4) <=> v1(sK_VarCurr)),
% 28.66/19.22 inference(monotonicity,[status(thm)],[30801])).
% 28.66/19.22 tff(30803,plain,
% 28.66/19.22 (v1(sK_VarCurr) <=> v1(constB4)),
% 28.66/19.22 inference(symmetry,[status(thm)],[30802])).
% 28.66/19.22 tff(30804,plain,
% 28.66/19.22 ((~v1(sK_VarCurr)) <=> (~v1(constB4))),
% 28.66/19.22 inference(monotonicity,[status(thm)],[30803])).
% 28.66/19.22 tff(30805,plain,
% 28.66/19.22 (~v1(constB4)),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[63, 30804])).
% 28.66/19.22 tff(30806,plain,
% 28.66/19.22 ($false),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[764, 30805])).
% 28.66/19.22 tff(30807,plain,(~(constB4 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.22 tff(30808,assumption,(constB104 = sK_VarCurr), introduced(assumption)).
% 28.66/19.22 tff(30809,plain,
% 28.66/19.22 (v1(constB104) <=> v1(sK_VarCurr)),
% 28.66/19.22 inference(monotonicity,[status(thm)],[30808])).
% 28.66/19.22 tff(30810,plain,
% 28.66/19.22 (v1(sK_VarCurr) <=> v1(constB104)),
% 28.66/19.22 inference(symmetry,[status(thm)],[30809])).
% 28.66/19.22 tff(30811,plain,
% 28.66/19.22 ((~v1(sK_VarCurr)) <=> (~v1(constB104))),
% 28.66/19.22 inference(monotonicity,[status(thm)],[30810])).
% 28.66/19.22 tff(30812,plain,
% 28.66/19.22 (~v1(constB104)),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[63, 30811])).
% 28.66/19.22 tff(30813,plain,
% 28.66/19.22 ($false),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[13355, 30812])).
% 28.66/19.22 tff(30814,plain,(~(constB104 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.22 tff(30815,assumption,(constB70 = sK_VarCurr), introduced(assumption)).
% 28.66/19.22 tff(30816,plain,
% 28.66/19.22 (v1(constB70) <=> v1(sK_VarCurr)),
% 28.66/19.22 inference(monotonicity,[status(thm)],[30815])).
% 28.66/19.22 tff(30817,plain,
% 28.66/19.22 (v1(sK_VarCurr) <=> v1(constB70)),
% 28.66/19.22 inference(symmetry,[status(thm)],[30816])).
% 28.66/19.22 tff(30818,plain,
% 28.66/19.22 ((~v1(sK_VarCurr)) <=> (~v1(constB70))),
% 28.66/19.22 inference(monotonicity,[status(thm)],[30817])).
% 28.66/19.22 tff(30819,plain,
% 28.66/19.22 (~v1(constB70)),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[63, 30818])).
% 28.66/19.22 tff(30820,plain,
% 28.66/19.22 ($false),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[9593, 30819])).
% 28.66/19.22 tff(30821,plain,(~(constB70 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.22 tff(30822,assumption,(constB23 = sK_VarCurr), introduced(assumption)).
% 28.66/19.22 tff(30823,plain,
% 28.66/19.22 (v180(constB23) <=> v180(sK_VarCurr)),
% 28.66/19.22 inference(monotonicity,[status(thm)],[30822])).
% 28.66/19.22 tff(30824,plain,
% 28.66/19.22 (v180(sK_VarCurr) <=> v180(constB23)),
% 28.66/19.22 inference(symmetry,[status(thm)],[30823])).
% 28.66/19.22 tff(30825,plain,
% 28.66/19.22 (v180(constB23)),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[86, 30824])).
% 28.66/19.22 tff(30826,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB21, 2)) | v88(constB21, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB21, 2)) | v88(constB21, 2))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30827,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB21, 2)) | v88(constB21, 2))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30828,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB21, 2)) | v88(constB21, 2)),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30827, 30826])).
% 28.66/19.22 tff(30829,plain,
% 28.66/19.22 (v88(constB21, 2)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30828, 27680, 2833])).
% 28.66/19.22 tff(30830,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB21)) | (~v88(constB21, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB21)) | (~v88(constB21, 2)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30831,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB21)) | (~v88(constB21, 2)))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30832,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB21)) | (~v88(constB21, 2))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30831, 30830])).
% 28.66/19.22 tff(30833,plain,
% 28.66/19.22 (~v139(constB21)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30832, 27691, 30829])).
% 28.66/19.22 tff(30834,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB21)) | (~v88(constB21, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB21)) | (~v88(constB21, 2)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30835,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB21)) | (~v88(constB21, 2)))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30836,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB21)) | (~v88(constB21, 2))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30835, 30834])).
% 28.66/19.22 tff(30837,plain,
% 28.66/19.22 (~v140(constB21)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30836, 27702, 30829])).
% 28.66/19.22 tff(30838,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB21) | v140(constB21) | (~v168(constB21)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB21) | v140(constB21) | (~v168(constB21)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30839,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB21) | v140(constB21) | (~v168(constB21)))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30840,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB21) | v140(constB21) | (~v168(constB21))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30839, 30838])).
% 28.66/19.22 tff(30841,plain,
% 28.66/19.22 (~v168(constB21)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30840, 27142, 30837, 30833])).
% 28.66/19.22 tff(30842,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB21, 1)) | v90(constB21, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB21, 1)) | v90(constB21, 1))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30843,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB21, 1)) | v90(constB21, 1))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30844,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB21, 1)) | v90(constB21, 1)),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30843, 30842])).
% 28.66/19.22 tff(30845,plain,
% 28.66/19.22 (~v88(constB21, 1)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30844, 27717, 2867])).
% 28.66/19.22 tff(30846,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB21, 0)) | v90(constB21, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB21, 0)) | v90(constB21, 0))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30847,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB21, 0)) | v90(constB21, 0))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30848,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB21, 0)) | v90(constB21, 0)),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30847, 30846])).
% 28.66/19.22 tff(30849,plain,
% 28.66/19.22 (~v88(constB21, 0)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30848, 26990, 2909])).
% 28.66/19.22 tff(30850,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB21, 0) | (~v88(constB21, 2)) | v88(constB21, 1) | v146(constB21))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB21, 0) | (~v88(constB21, 2)) | v88(constB21, 1) | v146(constB21))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30851,plain,
% 28.66/19.22 (((~v88(constB21, 2)) | v88(constB21, 1) | v88(constB21, 0) | v146(constB21)) <=> (v88(constB21, 0) | (~v88(constB21, 2)) | v88(constB21, 1) | v146(constB21))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30852,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB21, 2)) | v88(constB21, 1) | v88(constB21, 0) | v146(constB21))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB21, 0) | (~v88(constB21, 2)) | v88(constB21, 1) | v146(constB21)))),
% 28.66/19.22 inference(monotonicity,[status(thm)],[30851])).
% 28.66/19.22 tff(30853,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB21, 2)) | v88(constB21, 1) | v88(constB21, 0) | v146(constB21))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB21, 0) | (~v88(constB21, 2)) | v88(constB21, 1) | v146(constB21))),
% 28.66/19.22 inference(transitivity,[status(thm)],[30852, 30850])).
% 28.66/19.22 tff(30854,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB21, 2)) | v88(constB21, 1) | v88(constB21, 0) | v146(constB21))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30855,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB21, 0) | (~v88(constB21, 2)) | v88(constB21, 1) | v146(constB21)),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30854, 30853])).
% 28.66/19.22 tff(30856,plain,
% 28.66/19.22 (v146(constB21)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30855, 27735, 30829, 30849, 30845])).
% 28.66/19.22 tff(30857,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB21) | (~v146(constB21)))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB21) | (~v146(constB21)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30858,plain,
% 28.66/19.22 (((~v146(constB21)) | v145(constB21)) <=> (v145(constB21) | (~v146(constB21)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30859,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB21)) | v145(constB21))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB21) | (~v146(constB21))))),
% 28.66/19.22 inference(monotonicity,[status(thm)],[30858])).
% 28.66/19.22 tff(30860,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB21)) | v145(constB21))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB21) | (~v146(constB21)))),
% 28.66/19.22 inference(transitivity,[status(thm)],[30859, 30857])).
% 28.66/19.22 tff(30861,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB21)) | v145(constB21))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30862,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB21) | (~v146(constB21))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30861, 30860])).
% 28.66/19.22 tff(30863,plain,
% 28.66/19.22 (v145(constB21)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30862, 27749, 30856])).
% 28.66/19.22 tff(30864,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB21) | (~v145(constB21)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB21) | (~v145(constB21)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30865,plain,
% 28.66/19.22 (((~v145(constB21)) | v164(constB21)) <=> (v164(constB21) | (~v145(constB21)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30866,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB21)) | v164(constB21))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB21) | (~v145(constB21))))),
% 28.66/19.22 inference(monotonicity,[status(thm)],[30865])).
% 28.66/19.22 tff(30867,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB21)) | v164(constB21))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB21) | (~v145(constB21)))),
% 28.66/19.22 inference(transitivity,[status(thm)],[30866, 30864])).
% 28.66/19.22 tff(30868,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB21)) | v164(constB21))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30869,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB21) | (~v145(constB21))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30868, 30867])).
% 28.66/19.22 tff(30870,plain,
% 28.66/19.22 (v164(constB21)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30869, 27760, 30863])).
% 28.66/19.22 tff(30871,plain,
% 28.66/19.22 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB21)) | v168(constB21) | (~v164(constB21)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB21)) | v168(constB21) | (~v164(constB21)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30872,plain,
% 28.66/19.22 (((~v164(constB21)) | v168(constB21) | (~v161(constB21))) <=> ((~v161(constB21)) | v168(constB21) | (~v164(constB21)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30873,plain,
% 28.66/19.22 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB21)) | v168(constB21) | (~v161(constB21)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB21)) | v168(constB21) | (~v164(constB21))))),
% 28.66/19.22 inference(monotonicity,[status(thm)],[30872])).
% 28.66/19.22 tff(30874,plain,
% 28.66/19.22 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB21)) | v168(constB21) | (~v161(constB21)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB21)) | v168(constB21) | (~v164(constB21)))),
% 28.66/19.22 inference(transitivity,[status(thm)],[30873, 30871])).
% 28.66/19.22 tff(30875,plain,
% 28.66/19.22 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB21)) | v168(constB21) | (~v161(constB21)))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30876,plain,
% 28.66/19.22 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB21)) | v168(constB21) | (~v164(constB21))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30875, 30874])).
% 28.66/19.22 tff(30877,plain,
% 28.66/19.22 (~v161(constB21)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30876, 27156, 30870, 30841])).
% 28.66/19.22 tff(30878,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB21) | (~v187(constB21)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB21) | (~v187(constB21)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30879,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB21) | (~v187(constB21)))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30880,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB21) | (~v187(constB21))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30879, 30878])).
% 28.66/19.22 tff(30881,plain,
% 28.66/19.22 (~v187(constB21)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30880, 27174, 30877])).
% 28.66/19.22 tff(30882,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB21) | (~v185(constB21)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB21) | (~v185(constB21)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30883,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB21) | (~v185(constB21)))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30884,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB21) | (~v185(constB21))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30883, 30882])).
% 28.66/19.22 tff(30885,plain,
% 28.66/19.22 (~v185(constB21)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30884, 27188, 30881])).
% 28.66/19.22 tff(30886,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB19, 2)) | v90(constB19, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB19, 2)) | v90(constB19, 2))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30887,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB19, 2)) | v90(constB19, 2))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30888,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB19, 2)) | v90(constB19, 2)),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30887, 30886])).
% 28.66/19.22 tff(30889,plain,
% 28.66/19.22 (~v88(constB19, 2)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30888, 27032, 2637])).
% 28.66/19.22 tff(30890,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB19, 1)) | v88(constB19, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB19, 1)) | v88(constB19, 1))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30891,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB19, 1)) | v88(constB19, 1))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30892,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB19, 1)) | v88(constB19, 1)),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30891, 30890])).
% 28.66/19.22 tff(30893,plain,
% 28.66/19.22 (v88(constB19, 1)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30892, 26945, 2668])).
% 28.66/19.22 tff(30894,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB19, 0)) | v88(constB19, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB19, 0)) | v88(constB19, 0))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30895,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB19, 0)) | v88(constB19, 0))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30896,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB19, 0)) | v88(constB19, 0)),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30895, 30894])).
% 28.66/19.22 tff(30897,plain,
% 28.66/19.22 (v88(constB19, 0)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30896, 27874, 2699])).
% 28.66/19.22 tff(30898,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB19, 2) | (~v88(constB19, 1)) | (~v88(constB19, 0)) | v141(constB19))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB19, 2) | (~v88(constB19, 1)) | (~v88(constB19, 0)) | v141(constB19))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30899,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB19, 2) | (~v88(constB19, 1)) | (~v88(constB19, 0)) | v141(constB19))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30900,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB19, 2) | (~v88(constB19, 1)) | (~v88(constB19, 0)) | v141(constB19)),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30899, 30898])).
% 28.66/19.22 tff(30901,plain,
% 28.66/19.22 (v141(constB19)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30900, 28757, 30897, 30893, 30889])).
% 28.66/19.22 tff(30902,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB19)) | v166(constB19))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | (~v141(constB19)) | v166(constB19))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30903,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB19)) | v166(constB19))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30904,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | (~v141(constB19)) | v166(constB19)),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30903, 30902])).
% 28.66/19.22 tff(30905,plain,
% 28.66/19.22 (v166(constB19)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30904, 28771, 30901])).
% 28.66/19.22 tff(30906,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB19) | (~v166(constB19)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB19) | (~v166(constB19)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30907,plain,
% 28.66/19.22 (((~v166(constB19)) | v165(constB19)) <=> (v165(constB19) | (~v166(constB19)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30908,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB19)) | v165(constB19))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB19) | (~v166(constB19))))),
% 28.66/19.22 inference(monotonicity,[status(thm)],[30907])).
% 28.66/19.22 tff(30909,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB19)) | v165(constB19))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB19) | (~v166(constB19)))),
% 28.66/19.22 inference(transitivity,[status(thm)],[30908, 30906])).
% 28.66/19.22 tff(30910,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB19)) | v165(constB19))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30911,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB19) | (~v166(constB19))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30910, 30909])).
% 28.66/19.22 tff(30912,plain,
% 28.66/19.22 (v165(constB19)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30911, 28782, 30905])).
% 28.66/19.22 tff(30913,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB19) | (~v165(constB19)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB19) | (~v165(constB19)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30914,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB19) | (~v165(constB19)))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30915,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB19) | (~v165(constB19))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30914, 30913])).
% 28.66/19.22 tff(30916,plain,
% 28.66/19.22 (v164(constB19)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30915, 27089, 30912])).
% 28.66/19.22 tff(30917,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB19)) | (~v88(constB19, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB19)) | (~v88(constB19, 1)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30918,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB19)) | (~v88(constB19, 1)))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30919,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB19)) | (~v88(constB19, 1))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30918, 30917])).
% 28.66/19.22 tff(30920,plain,
% 28.66/19.22 (~v140(constB19)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30919, 27128, 30893])).
% 28.66/19.22 tff(30921,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB19)) | (~v88(constB19, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB19)) | (~v88(constB19, 0)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30922,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB19)) | (~v88(constB19, 0)))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30923,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB19)) | (~v88(constB19, 0))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30922, 30921])).
% 28.66/19.22 tff(30924,plain,
% 28.66/19.22 (~v139(constB19)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30923, 27885, 30897])).
% 28.66/19.22 tff(30925,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB19) | v140(constB19) | (~v168(constB19)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB19) | v140(constB19) | (~v168(constB19)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30926,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB19) | v140(constB19) | (~v168(constB19)))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30927,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB19) | v140(constB19) | (~v168(constB19))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30926, 30925])).
% 28.66/19.22 tff(30928,plain,
% 28.66/19.22 (~v168(constB19)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30927, 27142, 30924, 30920])).
% 28.66/19.22 tff(30929,plain,
% 28.66/19.22 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB19)) | (~v164(constB19)) | v168(constB19))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB19)) | (~v164(constB19)) | v168(constB19))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30930,plain,
% 28.66/19.22 (((~v164(constB19)) | v168(constB19) | (~v161(constB19))) <=> ((~v161(constB19)) | (~v164(constB19)) | v168(constB19))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30931,plain,
% 28.66/19.22 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB19)) | v168(constB19) | (~v161(constB19)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB19)) | (~v164(constB19)) | v168(constB19)))),
% 28.66/19.22 inference(monotonicity,[status(thm)],[30930])).
% 28.66/19.22 tff(30932,plain,
% 28.66/19.22 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB19)) | v168(constB19) | (~v161(constB19)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB19)) | (~v164(constB19)) | v168(constB19))),
% 28.66/19.22 inference(transitivity,[status(thm)],[30931, 30929])).
% 28.66/19.22 tff(30933,plain,
% 28.66/19.22 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB19)) | v168(constB19) | (~v161(constB19)))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30934,plain,
% 28.66/19.22 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB19)) | (~v164(constB19)) | v168(constB19)),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30933, 30932])).
% 28.66/19.22 tff(30935,plain,
% 28.66/19.22 ((~v161(constB19)) | (~v164(constB19))),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30934, 27156, 30928])).
% 28.66/19.22 tff(30936,plain,
% 28.66/19.22 (~v161(constB19)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30935, 30916])).
% 28.66/19.22 tff(30937,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB19) | (~v187(constB19)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB19) | (~v187(constB19)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30938,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB19) | (~v187(constB19)))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30939,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB19) | (~v187(constB19))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30938, 30937])).
% 28.66/19.22 tff(30940,plain,
% 28.66/19.22 (~v187(constB19)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30939, 27174, 30936])).
% 28.66/19.22 tff(30941,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB19) | (~v185(constB19)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB19) | (~v185(constB19)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30942,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB19) | (~v185(constB19)))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30943,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB19) | (~v185(constB19))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30942, 30941])).
% 28.66/19.22 tff(30944,plain,
% 28.66/19.22 (~v185(constB19)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30943, 27188, 30940])).
% 28.66/19.22 tff(30945,assumption,(v18(constB20)), introduced(assumption)).
% 28.66/19.22 tff(30946,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB20))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30947,plain,
% 28.66/19.22 ($false),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30946, 27200, 30945])).
% 28.66/19.22 tff(30948,plain,(~v18(constB20)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.22 tff(30949,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB20) | (~v1(constB20)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB20) | (~v1(constB20)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30950,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB20) | (~v1(constB20)))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30951,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB20) | (~v1(constB20))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30950, 30949])).
% 28.66/19.22 tff(30952,plain,
% 28.66/19.22 (v22(constB20)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30951, 27216, 2770])).
% 28.66/19.22 tff(30953,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB20) | (~v22(constB20)) | (~v19(constB20)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB20) | (~v22(constB20)) | (~v19(constB20)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30954,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB20) | (~v22(constB20)) | (~v19(constB20)))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30955,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB20) | (~v22(constB20)) | (~v19(constB20))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30954, 30953])).
% 28.66/19.22 tff(30956,plain,
% 28.66/19.22 (v18(constB20) | (~v19(constB20))),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30955, 27230, 30952])).
% 28.66/19.22 tff(30957,plain,
% 28.66/19.22 (~v19(constB20)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30956, 30948])).
% 28.66/19.22 tff(30958,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB20) | v19(constB20))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB20) | v19(constB20))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30959,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB20) | v19(constB20))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30960,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB20) | v19(constB20)),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30959, 30958])).
% 28.66/19.22 tff(30961,plain,
% 28.66/19.22 (v13(constB20)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30960, 27242, 30957])).
% 28.66/19.22 tff(30962,plain,
% 28.66/19.22 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB19) | (~v13(constB20)) | (~nextState(constB19, constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB19) | (~v13(constB20)) | (~nextState(constB19, constB20)))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30963,plain,
% 28.66/19.22 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB19) | (~v13(constB20)) | (~nextState(constB19, constB20)))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30964,plain,
% 28.66/19.22 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB19) | (~v13(constB20)) | (~nextState(constB19, constB20))),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30963, 30962])).
% 28.66/19.22 tff(30965,plain,
% 28.66/19.22 (v9(constB19) | (~v13(constB20))),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30964, 27259, 2750])).
% 28.66/19.22 tff(30966,plain,
% 28.66/19.22 (v9(constB19)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30965, 30961])).
% 28.66/19.22 tff(30967,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB19) | (~v9(constB19)) | v184(constB19))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB19) | (~v9(constB19)) | v184(constB19))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30968,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB19) | (~v9(constB19)) | v184(constB19))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30969,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB19) | (~v9(constB19)) | v184(constB19)),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30968, 30967])).
% 28.66/19.22 tff(30970,plain,
% 28.66/19.22 ((~v9(constB19)) | v184(constB19)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30969, 27274, 2613])).
% 28.66/19.22 tff(30971,plain,
% 28.66/19.22 (v184(constB19)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30970, 30966])).
% 28.66/19.22 tff(30972,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB19)) | v183(constB19))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB19)) | v183(constB19))),
% 28.66/19.22 inference(rewrite,[status(thm)],[])).
% 28.66/19.22 tff(30973,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB19)) | v183(constB19))),
% 28.66/19.22 inference(quant_inst,[status(thm)],[])).
% 28.66/19.22 tff(30974,plain,
% 28.66/19.22 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB19)) | v183(constB19)),
% 28.66/19.22 inference(modus_ponens,[status(thm)],[30973, 30972])).
% 28.66/19.22 tff(30975,plain,
% 28.66/19.22 (v183(constB19)),
% 28.66/19.22 inference(unit_resolution,[status(thm)],[30974, 27286, 30971])).
% 28.66/19.22 tff(30976,plain,
% 28.66/19.22 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB19)) | (~v183(constB19)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB19)) | (~v183(constB19)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(30977,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB19)) | (~v183(constB19)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(30978,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB19)) | (~v183(constB19))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[30977, 30976])).
% 28.66/19.23 tff(30979,plain,
% 28.66/19.23 (~v181(constB19)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[30978, 27300, 30975])).
% 28.66/19.23 tff(30980,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB19) | v185(constB19) | (~v178(constB19)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB19) | v185(constB19) | (~v178(constB19)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(30981,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB19) | v185(constB19) | (~v178(constB19)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(30982,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB19) | v185(constB19) | (~v178(constB19))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[30981, 30980])).
% 28.66/19.23 tff(30983,plain,
% 28.66/19.23 (v185(constB19) | (~v178(constB19))),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[30982, 27314, 30979])).
% 28.66/19.23 tff(30984,plain,
% 28.66/19.23 (~v178(constB19)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[30983, 30944])).
% 28.66/19.23 tff(30985,plain,
% 28.66/19.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB19, constB20)) | v178(constB19) | (~v180(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB19, constB20)) | v178(constB19) | (~v180(constB20)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(30986,plain,
% 28.66/19.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB19, constB20)) | v178(constB19) | (~v180(constB20)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(30987,plain,
% 28.66/19.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB19, constB20)) | v178(constB19) | (~v180(constB20))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[30986, 30985])).
% 28.66/19.23 tff(30988,plain,
% 28.66/19.23 (v178(constB19) | (~v180(constB20))),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[30987, 27329, 2750])).
% 28.66/19.23 tff(30989,plain,
% 28.66/19.23 (~v180(constB20)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[30988, 30984])).
% 28.66/19.23 tff(30990,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB20) | (~v181(constB20)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB20) | (~v181(constB20)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(30991,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB20) | (~v181(constB20)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(30992,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB20) | (~v181(constB20))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[30991, 30990])).
% 28.66/19.23 tff(30993,plain,
% 28.66/19.23 (~v181(constB20)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[30992, 27344, 30989])).
% 28.66/19.23 tff(30994,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB20)) | (~v184(constB20)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB20)) | (~v184(constB20)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(30995,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB20)) | (~v184(constB20)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(30996,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB20)) | (~v184(constB20))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[30995, 30994])).
% 28.66/19.23 tff(30997,plain,
% 28.66/19.23 (~v184(constB20)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[30996, 59, 2770])).
% 28.66/19.23 tff(30998,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB20) | (~v187(constB20)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB20) | (~v187(constB20)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(30999,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB20) | (~v187(constB20)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31000,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB20) | (~v187(constB20))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[30999, 30998])).
% 28.66/19.23 tff(31001,plain,
% 28.66/19.23 (~v187(constB20)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31000, 27362, 30997])).
% 28.66/19.23 tff(31002,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB20) | (~v185(constB20)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB20) | (~v185(constB20)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31003,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB20) | (~v185(constB20)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31004,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB20) | (~v185(constB20))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31003, 31002])).
% 28.66/19.23 tff(31005,plain,
% 28.66/19.23 (~v185(constB20)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31004, 27188, 31001])).
% 28.66/19.23 tff(31006,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB20) | v185(constB20) | (~v178(constB20)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB20) | v185(constB20) | (~v178(constB20)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31007,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB20) | v185(constB20) | (~v178(constB20)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31008,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB20) | v185(constB20) | (~v178(constB20))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31007, 31006])).
% 28.66/19.23 tff(31009,plain,
% 28.66/19.23 (v181(constB20) | (~v178(constB20))),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31008, 27314, 31005])).
% 28.66/19.23 tff(31010,plain,
% 28.66/19.23 (~v178(constB20)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31009, 30993])).
% 28.66/19.23 tff(31011,plain,
% 28.66/19.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB20, constB21)) | v178(constB20) | (~v180(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB20, constB21)) | v178(constB20) | (~v180(constB21)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31012,plain,
% 28.66/19.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB20, constB21)) | v178(constB20) | (~v180(constB21)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31013,plain,
% 28.66/19.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB20, constB21)) | v178(constB20) | (~v180(constB21))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31012, 31011])).
% 28.66/19.23 tff(31014,plain,
% 28.66/19.23 (v178(constB20) | (~v180(constB21))),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31013, 27329, 2812])).
% 28.66/19.23 tff(31015,plain,
% 28.66/19.23 (~v180(constB21)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31014, 31010])).
% 28.66/19.23 tff(31016,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB21) | (~v181(constB21)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB21) | (~v181(constB21)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31017,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB21) | (~v181(constB21)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31018,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB21) | (~v181(constB21))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31017, 31016])).
% 28.66/19.23 tff(31019,plain,
% 28.66/19.23 (~v181(constB21)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31018, 27344, 31015])).
% 28.66/19.23 tff(31020,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB21) | v185(constB21) | (~v178(constB21)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB21) | v185(constB21) | (~v178(constB21)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31021,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB21) | v185(constB21) | (~v178(constB21)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31022,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB21) | v185(constB21) | (~v178(constB21))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31021, 31020])).
% 28.66/19.23 tff(31023,plain,
% 28.66/19.23 (v185(constB21) | (~v178(constB21))),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31022, 27314, 31019])).
% 28.66/19.23 tff(31024,plain,
% 28.66/19.23 (~v178(constB21)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31023, 30885])).
% 28.66/19.23 tff(31025,plain,
% 28.66/19.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB21, constB22)) | v178(constB21) | (~v180(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB21, constB22)) | v178(constB21) | (~v180(constB22)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31026,plain,
% 28.66/19.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB21, constB22)) | v178(constB21) | (~v180(constB22)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31027,plain,
% 28.66/19.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB21, constB22)) | v178(constB21) | (~v180(constB22))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31026, 31025])).
% 28.66/19.23 tff(31028,plain,
% 28.66/19.23 (v178(constB21) | (~v180(constB22))),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31027, 27329, 2950])).
% 28.66/19.23 tff(31029,plain,
% 28.66/19.23 (~v180(constB22)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31028, 31024])).
% 28.66/19.23 tff(31030,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB22) | (~v181(constB22)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB22) | (~v181(constB22)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31031,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB22) | (~v181(constB22)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31032,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB22) | (~v181(constB22))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31031, 31030])).
% 28.66/19.23 tff(31033,plain,
% 28.66/19.23 (~v181(constB22)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31032, 27344, 31029])).
% 28.66/19.23 tff(31034,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB22)) | (~v184(constB22)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB22)) | (~v184(constB22)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31035,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB22)) | (~v184(constB22)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31036,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB22)) | (~v184(constB22))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31035, 31034])).
% 28.66/19.23 tff(31037,plain,
% 28.66/19.23 (~v184(constB22)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31036, 59, 2970])).
% 28.66/19.23 tff(31038,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB22) | (~v187(constB22)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB22) | (~v187(constB22)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31039,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB22) | (~v187(constB22)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31040,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB22) | (~v187(constB22))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31039, 31038])).
% 28.66/19.23 tff(31041,plain,
% 28.66/19.23 (~v187(constB22)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31040, 27362, 31037])).
% 28.66/19.23 tff(31042,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB22) | (~v185(constB22)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB22) | (~v185(constB22)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31043,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB22) | (~v185(constB22)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31044,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB22) | (~v185(constB22))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31043, 31042])).
% 28.66/19.23 tff(31045,plain,
% 28.66/19.23 (~v185(constB22)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31044, 27188, 31041])).
% 28.66/19.23 tff(31046,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB22) | v185(constB22) | (~v178(constB22)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB22) | v185(constB22) | (~v178(constB22)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31047,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB22) | v185(constB22) | (~v178(constB22)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31048,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB22) | v185(constB22) | (~v178(constB22))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31047, 31046])).
% 28.66/19.23 tff(31049,plain,
% 28.66/19.23 (v181(constB22) | (~v178(constB22))),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31048, 27314, 31045])).
% 28.66/19.23 tff(31050,plain,
% 28.66/19.23 (~v178(constB22)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31049, 31033])).
% 28.66/19.23 tff(31051,plain,
% 28.66/19.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB22, constB23)) | v178(constB22) | (~v180(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB22, constB23)) | v178(constB22) | (~v180(constB23)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31052,plain,
% 28.66/19.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB22, constB23)) | v178(constB22) | (~v180(constB23)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31053,plain,
% 28.66/19.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB22, constB23)) | v178(constB22) | (~v180(constB23))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31052, 31051])).
% 28.66/19.23 tff(31054,plain,
% 28.66/19.23 (v178(constB22) | (~v180(constB23))),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31053, 27329, 3012])).
% 28.66/19.23 tff(31055,plain,
% 28.66/19.23 (~v180(constB23)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31054, 31050])).
% 28.66/19.23 tff(31056,plain,
% 28.66/19.23 ($false),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31055, 30825])).
% 28.66/19.23 tff(31057,plain,(~(constB23 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.23 tff(31058,assumption,(constB169 = sK_VarCurr), introduced(assumption)).
% 28.66/19.23 tff(31059,plain,
% 28.66/19.23 (v180(constB169) <=> v180(sK_VarCurr)),
% 28.66/19.23 inference(monotonicity,[status(thm)],[31058])).
% 28.66/19.23 tff(31060,plain,
% 28.66/19.23 (v180(sK_VarCurr) <=> v180(constB169)),
% 28.66/19.23 inference(symmetry,[status(thm)],[31059])).
% 28.66/19.23 tff(31061,plain,
% 28.66/19.23 (v180(constB169)),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[86, 31060])).
% 28.66/19.23 tff(31062,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB167, 2)) | v88(constB167, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB167, 2)) | v88(constB167, 2))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31063,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB167, 2)) | v88(constB167, 2))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31064,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB167, 2)) | v88(constB167, 2)),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31063, 31062])).
% 28.66/19.23 tff(31065,plain,
% 28.66/19.23 (v88(constB167, 2)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31064, 27680, 23561])).
% 28.66/19.23 tff(31066,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB167)) | (~v88(constB167, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB167)) | (~v88(constB167, 2)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31067,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB167)) | (~v88(constB167, 2)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31068,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB167)) | (~v88(constB167, 2))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31067, 31066])).
% 28.66/19.23 tff(31069,plain,
% 28.66/19.23 (~v140(constB167)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31068, 27702, 31065])).
% 28.66/19.23 tff(31070,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB167, 0)) | v88(constB167, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB167, 0)) | v88(constB167, 0))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31071,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB167, 0)) | v88(constB167, 0))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31072,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB167, 0)) | v88(constB167, 0)),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31071, 31070])).
% 28.66/19.23 tff(31073,plain,
% 28.66/19.23 (v88(constB167, 0)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31072, 27874, 23626])).
% 28.66/19.23 tff(31074,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB167)) | (~v88(constB167, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB167)) | (~v88(constB167, 0)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31075,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB167)) | (~v88(constB167, 0)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31076,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB167)) | (~v88(constB167, 0))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31075, 31074])).
% 28.66/19.23 tff(31077,plain,
% 28.66/19.23 (~v139(constB167)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31076, 27885, 31073])).
% 28.66/19.23 tff(31078,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB167) | v140(constB167) | (~v168(constB167)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB167) | v140(constB167) | (~v168(constB167)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31079,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB167) | v140(constB167) | (~v168(constB167)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31080,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB167) | v140(constB167) | (~v168(constB167))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31079, 31078])).
% 28.66/19.23 tff(31081,plain,
% 28.66/19.23 (~v168(constB167)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31080, 27142, 31077, 31069])).
% 28.66/19.23 tff(31082,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB167, 1)) | v90(constB167, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB167, 1)) | v90(constB167, 1))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31083,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB167, 1)) | v90(constB167, 1))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31084,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB167, 1)) | v90(constB167, 1)),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31083, 31082])).
% 28.66/19.23 tff(31085,plain,
% 28.66/19.23 (~v88(constB167, 1)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31084, 27717, 23595])).
% 28.66/19.23 tff(31086,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB167, 0)) | v147(constB167) | (~v88(constB167, 2)) | v88(constB167, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB167, 0)) | v147(constB167) | (~v88(constB167, 2)) | v88(constB167, 1))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31087,plain,
% 28.66/19.23 (((~v88(constB167, 2)) | v88(constB167, 1) | (~v88(constB167, 0)) | v147(constB167)) <=> ((~v88(constB167, 0)) | v147(constB167) | (~v88(constB167, 2)) | v88(constB167, 1))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31088,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB167, 2)) | v88(constB167, 1) | (~v88(constB167, 0)) | v147(constB167))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB167, 0)) | v147(constB167) | (~v88(constB167, 2)) | v88(constB167, 1)))),
% 28.66/19.23 inference(monotonicity,[status(thm)],[31087])).
% 28.66/19.23 tff(31089,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB167, 2)) | v88(constB167, 1) | (~v88(constB167, 0)) | v147(constB167))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB167, 0)) | v147(constB167) | (~v88(constB167, 2)) | v88(constB167, 1))),
% 28.66/19.23 inference(transitivity,[status(thm)],[31088, 31086])).
% 28.66/19.23 tff(31090,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB167, 2)) | v88(constB167, 1) | (~v88(constB167, 0)) | v147(constB167))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31091,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB167, 0)) | v147(constB167) | (~v88(constB167, 2)) | v88(constB167, 1)),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31090, 31089])).
% 28.66/19.23 tff(31092,plain,
% 28.66/19.23 (v147(constB167)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31091, 27907, 31073, 31065, 31085])).
% 28.66/19.23 tff(31093,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB167)) | v145(constB167))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB167)) | v145(constB167))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31094,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB167)) | v145(constB167))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31095,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB167)) | v145(constB167)),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31094, 31093])).
% 28.66/19.23 tff(31096,plain,
% 28.66/19.23 (v145(constB167)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31095, 27921, 31092])).
% 28.66/19.23 tff(31097,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB167) | (~v145(constB167)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB167) | (~v145(constB167)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31098,plain,
% 28.66/19.23 (((~v145(constB167)) | v164(constB167)) <=> (v164(constB167) | (~v145(constB167)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31099,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB167)) | v164(constB167))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB167) | (~v145(constB167))))),
% 28.66/19.23 inference(monotonicity,[status(thm)],[31098])).
% 28.66/19.23 tff(31100,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB167)) | v164(constB167))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB167) | (~v145(constB167)))),
% 28.66/19.23 inference(transitivity,[status(thm)],[31099, 31097])).
% 28.66/19.23 tff(31101,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB167)) | v164(constB167))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31102,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB167) | (~v145(constB167))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31101, 31100])).
% 28.66/19.23 tff(31103,plain,
% 28.66/19.23 (v164(constB167)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31102, 27760, 31096])).
% 28.66/19.23 tff(31104,plain,
% 28.66/19.23 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB167)) | v168(constB167) | (~v164(constB167)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB167)) | v168(constB167) | (~v164(constB167)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31105,plain,
% 28.66/19.23 (((~v164(constB167)) | v168(constB167) | (~v161(constB167))) <=> ((~v161(constB167)) | v168(constB167) | (~v164(constB167)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31106,plain,
% 28.66/19.23 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB167)) | v168(constB167) | (~v161(constB167)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB167)) | v168(constB167) | (~v164(constB167))))),
% 28.66/19.23 inference(monotonicity,[status(thm)],[31105])).
% 28.66/19.23 tff(31107,plain,
% 28.66/19.23 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB167)) | v168(constB167) | (~v161(constB167)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB167)) | v168(constB167) | (~v164(constB167)))),
% 28.66/19.23 inference(transitivity,[status(thm)],[31106, 31104])).
% 28.66/19.23 tff(31108,plain,
% 28.66/19.23 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB167)) | v168(constB167) | (~v161(constB167)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31109,plain,
% 28.66/19.23 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB167)) | v168(constB167) | (~v164(constB167))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31108, 31107])).
% 28.66/19.23 tff(31110,plain,
% 28.66/19.23 (~v161(constB167)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31109, 27156, 31103, 31081])).
% 28.66/19.23 tff(31111,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB167) | (~v187(constB167)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB167) | (~v187(constB167)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31112,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB167) | (~v187(constB167)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31113,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB167) | (~v187(constB167))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31112, 31111])).
% 28.66/19.23 tff(31114,plain,
% 28.66/19.23 (~v187(constB167)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31113, 27174, 31110])).
% 28.66/19.23 tff(31115,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB167) | (~v185(constB167)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB167) | (~v185(constB167)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31116,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB167) | (~v185(constB167)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31117,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB167) | (~v185(constB167))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31116, 31115])).
% 28.66/19.23 tff(31118,plain,
% 28.66/19.23 (~v185(constB167)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31117, 27188, 31114])).
% 28.66/19.23 tff(31119,assumption,(v18(constB168)), introduced(assumption)).
% 28.66/19.23 tff(31120,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB168))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31121,plain,
% 28.66/19.23 ($false),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31120, 27200, 31119])).
% 28.66/19.23 tff(31122,plain,(~v18(constB168)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.23 tff(31123,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB168) | (~v1(constB168)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB168) | (~v1(constB168)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31124,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB168) | (~v1(constB168)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31125,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB168) | (~v1(constB168))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31124, 31123])).
% 28.66/19.23 tff(31126,plain,
% 28.66/19.23 (v22(constB168)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31125, 27216, 23677])).
% 28.66/19.23 tff(31127,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB168) | (~v22(constB168)) | (~v19(constB168)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB168) | (~v22(constB168)) | (~v19(constB168)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31128,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB168) | (~v22(constB168)) | (~v19(constB168)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31129,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB168) | (~v22(constB168)) | (~v19(constB168))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31128, 31127])).
% 28.66/19.23 tff(31130,plain,
% 28.66/19.23 (v18(constB168) | (~v19(constB168))),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31129, 27230, 31126])).
% 28.66/19.23 tff(31131,plain,
% 28.66/19.23 (~v19(constB168)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31130, 31122])).
% 28.66/19.23 tff(31132,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB168) | v19(constB168))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB168) | v19(constB168))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31133,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB168) | v19(constB168))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31134,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB168) | v19(constB168)),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31133, 31132])).
% 28.66/19.23 tff(31135,plain,
% 28.66/19.23 (v13(constB168)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31134, 27242, 31131])).
% 28.66/19.23 tff(31136,plain,
% 28.66/19.23 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB167) | (~v13(constB168)) | (~nextState(constB167, constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB167) | (~v13(constB168)) | (~nextState(constB167, constB168)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31137,plain,
% 28.66/19.23 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB167) | (~v13(constB168)) | (~nextState(constB167, constB168)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31138,plain,
% 28.66/19.23 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB167) | (~v13(constB168)) | (~nextState(constB167, constB168))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31137, 31136])).
% 28.66/19.23 tff(31139,plain,
% 28.66/19.23 (v9(constB167) | (~v13(constB168))),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31138, 27259, 23657])).
% 28.66/19.23 tff(31140,plain,
% 28.66/19.23 (v9(constB167)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31139, 31135])).
% 28.66/19.23 tff(31141,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB167) | (~v9(constB167)) | v184(constB167))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB167) | (~v9(constB167)) | v184(constB167))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31142,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB167) | (~v9(constB167)) | v184(constB167))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31143,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB167) | (~v9(constB167)) | v184(constB167)),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31142, 31141])).
% 28.66/19.23 tff(31144,plain,
% 28.66/19.23 ((~v9(constB167)) | v184(constB167)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31143, 27274, 23537])).
% 28.66/19.23 tff(31145,plain,
% 28.66/19.23 (v184(constB167)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31144, 31140])).
% 28.66/19.23 tff(31146,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB167)) | v183(constB167))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB167)) | v183(constB167))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31147,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB167)) | v183(constB167))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31148,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB167)) | v183(constB167)),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31147, 31146])).
% 28.66/19.23 tff(31149,plain,
% 28.66/19.23 (v183(constB167)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31148, 27286, 31145])).
% 28.66/19.23 tff(31150,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB167)) | (~v183(constB167)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB167)) | (~v183(constB167)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31151,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB167)) | (~v183(constB167)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31152,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB167)) | (~v183(constB167))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31151, 31150])).
% 28.66/19.23 tff(31153,plain,
% 28.66/19.23 (~v181(constB167)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31152, 27300, 31149])).
% 28.66/19.23 tff(31154,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB167) | v185(constB167) | (~v178(constB167)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB167) | v185(constB167) | (~v178(constB167)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31155,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB167) | v185(constB167) | (~v178(constB167)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31156,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB167) | v185(constB167) | (~v178(constB167))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31155, 31154])).
% 28.66/19.23 tff(31157,plain,
% 28.66/19.23 (v185(constB167) | (~v178(constB167))),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31156, 27314, 31153])).
% 28.66/19.23 tff(31158,plain,
% 28.66/19.23 (~v178(constB167)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31157, 31118])).
% 28.66/19.23 tff(31159,plain,
% 28.66/19.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB167, constB168)) | v178(constB167) | (~v180(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB167, constB168)) | v178(constB167) | (~v180(constB168)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31160,plain,
% 28.66/19.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB167, constB168)) | v178(constB167) | (~v180(constB168)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31161,plain,
% 28.66/19.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB167, constB168)) | v178(constB167) | (~v180(constB168))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31160, 31159])).
% 28.66/19.23 tff(31162,plain,
% 28.66/19.23 (v178(constB167) | (~v180(constB168))),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31161, 27329, 23657])).
% 28.66/19.23 tff(31163,plain,
% 28.66/19.23 (~v180(constB168)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31162, 31158])).
% 28.66/19.23 tff(31164,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB168) | (~v181(constB168)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB168) | (~v181(constB168)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31165,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB168) | (~v181(constB168)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31166,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB168) | (~v181(constB168))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31165, 31164])).
% 28.66/19.23 tff(31167,plain,
% 28.66/19.23 (~v181(constB168)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31166, 27344, 31163])).
% 28.66/19.23 tff(31168,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB168)) | (~v184(constB168)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB168)) | (~v184(constB168)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31169,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB168)) | (~v184(constB168)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31170,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB168)) | (~v184(constB168))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31169, 31168])).
% 28.66/19.23 tff(31171,plain,
% 28.66/19.23 (~v184(constB168)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31170, 59, 23677])).
% 28.66/19.23 tff(31172,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB168) | (~v187(constB168)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB168) | (~v187(constB168)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31173,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB168) | (~v187(constB168)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31174,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB168) | (~v187(constB168))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31173, 31172])).
% 28.66/19.23 tff(31175,plain,
% 28.66/19.23 (~v187(constB168)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31174, 27362, 31171])).
% 28.66/19.23 tff(31176,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB168) | (~v185(constB168)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB168) | (~v185(constB168)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31177,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB168) | (~v185(constB168)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31178,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB168) | (~v185(constB168))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31177, 31176])).
% 28.66/19.23 tff(31179,plain,
% 28.66/19.23 (~v185(constB168)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31178, 27188, 31175])).
% 28.66/19.23 tff(31180,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB168) | v185(constB168) | (~v178(constB168)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB168) | v185(constB168) | (~v178(constB168)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31181,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB168) | v185(constB168) | (~v178(constB168)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31182,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB168) | v185(constB168) | (~v178(constB168))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31181, 31180])).
% 28.66/19.23 tff(31183,plain,
% 28.66/19.23 (v181(constB168) | (~v178(constB168))),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31182, 27314, 31179])).
% 28.66/19.23 tff(31184,plain,
% 28.66/19.23 (~v178(constB168)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31183, 31167])).
% 28.66/19.23 tff(31185,plain,
% 28.66/19.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB168, constB169)) | v178(constB168) | (~v180(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB168, constB169)) | v178(constB168) | (~v180(constB169)))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31186,plain,
% 28.66/19.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB168, constB169)) | v178(constB168) | (~v180(constB169)))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31187,plain,
% 28.66/19.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB168, constB169)) | v178(constB168) | (~v180(constB169))),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31186, 31185])).
% 28.66/19.23 tff(31188,plain,
% 28.66/19.23 (v178(constB168) | (~v180(constB169))),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31187, 27329, 23719])).
% 28.66/19.23 tff(31189,plain,
% 28.66/19.23 (~v180(constB169)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31188, 31184])).
% 28.66/19.23 tff(31190,plain,
% 28.66/19.23 ($false),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31189, 31061])).
% 28.66/19.23 tff(31191,plain,(~(constB169 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.23 tff(31192,assumption,(constB74 = sK_VarCurr), introduced(assumption)).
% 28.66/19.23 tff(31193,plain,
% 28.66/19.23 (v1(constB74) <=> v1(sK_VarCurr)),
% 28.66/19.23 inference(monotonicity,[status(thm)],[31192])).
% 28.66/19.23 tff(31194,plain,
% 28.66/19.23 (v1(sK_VarCurr) <=> v1(constB74)),
% 28.66/19.23 inference(symmetry,[status(thm)],[31193])).
% 28.66/19.23 tff(31195,plain,
% 28.66/19.23 ((~v1(sK_VarCurr)) <=> (~v1(constB74))),
% 28.66/19.23 inference(monotonicity,[status(thm)],[31194])).
% 28.66/19.23 tff(31196,plain,
% 28.66/19.23 (~v1(constB74)),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[63, 31195])).
% 28.66/19.23 tff(31197,plain,
% 28.66/19.23 ($false),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[9964, 31196])).
% 28.66/19.23 tff(31198,plain,(~(constB74 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.23 tff(31199,assumption,(constB99 = sK_VarCurr), introduced(assumption)).
% 28.66/19.23 tff(31200,plain,
% 28.66/19.23 (v180(constB99) <=> v180(sK_VarCurr)),
% 28.66/19.23 inference(monotonicity,[status(thm)],[31199])).
% 28.66/19.23 tff(31201,plain,
% 28.66/19.23 (v180(sK_VarCurr) <=> v180(constB99)),
% 28.66/19.23 inference(symmetry,[status(thm)],[31200])).
% 28.66/19.23 tff(31202,plain,
% 28.66/19.23 (v180(constB99)),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[86, 31201])).
% 28.66/19.23 tff(31203,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB97, 0)) | v90(constB97, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB97, 0)) | v90(constB97, 0))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31204,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB97, 0)) | v90(constB97, 0))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31205,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB97, 0)) | v90(constB97, 0)),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31204, 31203])).
% 28.66/19.23 tff(31206,plain,
% 28.66/19.23 (~v88(constB97, 0)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31205, 26990, 12678])).
% 28.66/19.23 tff(31207,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB97, 2)) | v88(constB97, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB97, 2)) | v88(constB97, 2))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31208,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB97, 2)) | v88(constB97, 2))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31209,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB97, 2)) | v88(constB97, 2)),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31208, 31207])).
% 28.66/19.23 tff(31210,plain,
% 28.66/19.23 (v88(constB97, 2)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31209, 27680, 12613])).
% 28.66/19.23 tff(31211,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB97, 1)) | v88(constB97, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB97, 1)) | v88(constB97, 1))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31212,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB97, 1)) | v88(constB97, 1))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31213,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB97, 1)) | v88(constB97, 1)),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31212, 31211])).
% 28.66/19.23 tff(31214,plain,
% 28.66/19.23 (v88(constB97, 1)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31213, 26945, 12644])).
% 28.66/19.23 tff(31215,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB97, 1)) | (~v88(constB97, 2)) | v88(constB97, 0) | v144(constB97))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB97, 1)) | (~v88(constB97, 2)) | v88(constB97, 0) | v144(constB97))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31216,plain,
% 28.66/19.23 (((~v88(constB97, 2)) | (~v88(constB97, 1)) | v88(constB97, 0) | v144(constB97)) <=> ((~v88(constB97, 1)) | (~v88(constB97, 2)) | v88(constB97, 0) | v144(constB97))),
% 28.66/19.23 inference(rewrite,[status(thm)],[])).
% 28.66/19.23 tff(31217,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB97, 2)) | (~v88(constB97, 1)) | v88(constB97, 0) | v144(constB97))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB97, 1)) | (~v88(constB97, 2)) | v88(constB97, 0) | v144(constB97)))),
% 28.66/19.23 inference(monotonicity,[status(thm)],[31216])).
% 28.66/19.23 tff(31218,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB97, 2)) | (~v88(constB97, 1)) | v88(constB97, 0) | v144(constB97))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB97, 1)) | (~v88(constB97, 2)) | v88(constB97, 0) | v144(constB97))),
% 28.66/19.23 inference(transitivity,[status(thm)],[31217, 31215])).
% 28.66/19.23 tff(31219,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB97, 2)) | (~v88(constB97, 1)) | v88(constB97, 0) | v144(constB97))),
% 28.66/19.23 inference(quant_inst,[status(thm)],[])).
% 28.66/19.23 tff(31220,plain,
% 28.66/19.23 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB97, 1)) | (~v88(constB97, 2)) | v88(constB97, 0) | v144(constB97)),
% 28.66/19.23 inference(modus_ponens,[status(thm)],[31219, 31218])).
% 28.66/19.23 tff(31221,plain,
% 28.66/19.23 (v144(constB97)),
% 28.66/19.23 inference(unit_resolution,[status(thm)],[31220, 28458, 31214, 31210, 31206])).
% 28.66/19.23 tff(31222,plain,
% 28.66/19.23 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB97)) | v142(constB97))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB97)) | v142(constB97))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31223,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB97)) | v142(constB97))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31224,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB97)) | v142(constB97)),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31223, 31222])).
% 28.66/19.24 tff(31225,plain,
% 28.66/19.24 (v142(constB97)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31224, 28472, 31221])).
% 28.66/19.24 tff(31226,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB97)) | v165(constB97))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB97)) | v165(constB97))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31227,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB97)) | v165(constB97))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31228,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB97)) | v165(constB97)),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31227, 31226])).
% 28.66/19.24 tff(31229,plain,
% 28.66/19.24 (v165(constB97)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31228, 27075, 31225])).
% 28.66/19.24 tff(31230,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB97) | (~v165(constB97)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB97) | (~v165(constB97)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31231,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB97) | (~v165(constB97)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31232,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB97) | (~v165(constB97))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31231, 31230])).
% 28.66/19.24 tff(31233,plain,
% 28.66/19.24 (v164(constB97)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31232, 27089, 31229])).
% 28.66/19.24 tff(31234,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB97)) | (~v88(constB97, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB97)) | (~v88(constB97, 1)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31235,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB97)) | (~v88(constB97, 1)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31236,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB97)) | (~v88(constB97, 1))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31235, 31234])).
% 28.66/19.24 tff(31237,plain,
% 28.66/19.24 (~v139(constB97)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31236, 27117, 31214])).
% 28.66/19.24 tff(31238,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB97)) | (~v88(constB97, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB97)) | (~v88(constB97, 1)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31239,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB97)) | (~v88(constB97, 1)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31240,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB97)) | (~v88(constB97, 1))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31239, 31238])).
% 28.66/19.24 tff(31241,plain,
% 28.66/19.24 (~v140(constB97)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31240, 27128, 31214])).
% 28.66/19.24 tff(31242,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB97) | v140(constB97) | (~v168(constB97)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB97) | v140(constB97) | (~v168(constB97)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31243,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB97) | v140(constB97) | (~v168(constB97)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31244,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB97) | v140(constB97) | (~v168(constB97))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31243, 31242])).
% 28.66/19.24 tff(31245,plain,
% 28.66/19.24 (~v168(constB97)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31244, 27142, 31241, 31237])).
% 28.66/19.24 tff(31246,plain,
% 28.66/19.24 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB97)) | (~v164(constB97)) | v168(constB97))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB97)) | (~v164(constB97)) | v168(constB97))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31247,plain,
% 28.66/19.24 (((~v164(constB97)) | v168(constB97) | (~v161(constB97))) <=> ((~v161(constB97)) | (~v164(constB97)) | v168(constB97))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31248,plain,
% 28.66/19.24 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB97)) | v168(constB97) | (~v161(constB97)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB97)) | (~v164(constB97)) | v168(constB97)))),
% 28.66/19.24 inference(monotonicity,[status(thm)],[31247])).
% 28.66/19.24 tff(31249,plain,
% 28.66/19.24 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB97)) | v168(constB97) | (~v161(constB97)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB97)) | (~v164(constB97)) | v168(constB97))),
% 28.66/19.24 inference(transitivity,[status(thm)],[31248, 31246])).
% 28.66/19.24 tff(31250,plain,
% 28.66/19.24 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB97)) | v168(constB97) | (~v161(constB97)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31251,plain,
% 28.66/19.24 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB97)) | (~v164(constB97)) | v168(constB97)),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31250, 31249])).
% 28.66/19.24 tff(31252,plain,
% 28.66/19.24 ((~v161(constB97)) | (~v164(constB97))),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31251, 27156, 31245])).
% 28.66/19.24 tff(31253,plain,
% 28.66/19.24 (~v161(constB97)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31252, 31233])).
% 28.66/19.24 tff(31254,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB97) | (~v187(constB97)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB97) | (~v187(constB97)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31255,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB97) | (~v187(constB97)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31256,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB97) | (~v187(constB97))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31255, 31254])).
% 28.66/19.24 tff(31257,plain,
% 28.66/19.24 (~v187(constB97)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31256, 27174, 31253])).
% 28.66/19.24 tff(31258,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB97) | (~v185(constB97)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB97) | (~v185(constB97)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31259,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB97) | (~v185(constB97)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31260,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB97) | (~v185(constB97))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31259, 31258])).
% 28.66/19.24 tff(31261,plain,
% 28.66/19.24 (~v185(constB97)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31260, 27188, 31257])).
% 28.66/19.24 tff(31262,assumption,(v18(constB98)), introduced(assumption)).
% 28.66/19.24 tff(31263,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB98))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31264,plain,
% 28.66/19.24 ($false),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31263, 27200, 31262])).
% 28.66/19.24 tff(31265,plain,(~v18(constB98)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.24 tff(31266,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB98) | (~v1(constB98)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB98) | (~v1(constB98)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31267,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB98) | (~v1(constB98)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31268,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB98) | (~v1(constB98))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31267, 31266])).
% 28.66/19.24 tff(31269,plain,
% 28.66/19.24 (v22(constB98)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31268, 27216, 12725])).
% 28.66/19.24 tff(31270,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB98) | (~v22(constB98)) | (~v19(constB98)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB98) | (~v22(constB98)) | (~v19(constB98)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31271,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB98) | (~v22(constB98)) | (~v19(constB98)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31272,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB98) | (~v22(constB98)) | (~v19(constB98))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31271, 31270])).
% 28.66/19.24 tff(31273,plain,
% 28.66/19.24 (v18(constB98) | (~v19(constB98))),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31272, 27230, 31269])).
% 28.66/19.24 tff(31274,plain,
% 28.66/19.24 (~v19(constB98)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31273, 31265])).
% 28.66/19.24 tff(31275,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB98) | v19(constB98))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB98) | v19(constB98))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31276,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB98) | v19(constB98))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31277,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB98) | v19(constB98)),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31276, 31275])).
% 28.66/19.24 tff(31278,plain,
% 28.66/19.24 (v13(constB98)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31277, 27242, 31274])).
% 28.66/19.24 tff(31279,plain,
% 28.66/19.24 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB97) | (~v13(constB98)) | (~nextState(constB97, constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB97) | (~v13(constB98)) | (~nextState(constB97, constB98)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31280,plain,
% 28.66/19.24 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB97) | (~v13(constB98)) | (~nextState(constB97, constB98)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31281,plain,
% 28.66/19.24 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB97) | (~v13(constB98)) | (~nextState(constB97, constB98))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31280, 31279])).
% 28.66/19.24 tff(31282,plain,
% 28.66/19.24 (v9(constB97) | (~v13(constB98))),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31281, 27259, 12705])).
% 28.66/19.24 tff(31283,plain,
% 28.66/19.24 (v9(constB97)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31282, 31278])).
% 28.66/19.24 tff(31284,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB97) | (~v9(constB97)) | v184(constB97))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB97) | (~v9(constB97)) | v184(constB97))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31285,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB97) | (~v9(constB97)) | v184(constB97))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31286,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB97) | (~v9(constB97)) | v184(constB97)),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31285, 31284])).
% 28.66/19.24 tff(31287,plain,
% 28.66/19.24 ((~v9(constB97)) | v184(constB97)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31286, 27274, 12589])).
% 28.66/19.24 tff(31288,plain,
% 28.66/19.24 (v184(constB97)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31287, 31283])).
% 28.66/19.24 tff(31289,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB97)) | v183(constB97))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB97)) | v183(constB97))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31290,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB97)) | v183(constB97))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31291,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB97)) | v183(constB97)),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31290, 31289])).
% 28.66/19.24 tff(31292,plain,
% 28.66/19.24 (v183(constB97)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31291, 27286, 31288])).
% 28.66/19.24 tff(31293,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB97)) | (~v183(constB97)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB97)) | (~v183(constB97)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31294,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB97)) | (~v183(constB97)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31295,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB97)) | (~v183(constB97))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31294, 31293])).
% 28.66/19.24 tff(31296,plain,
% 28.66/19.24 (~v181(constB97)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31295, 27300, 31292])).
% 28.66/19.24 tff(31297,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB97) | v185(constB97) | (~v178(constB97)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB97) | v185(constB97) | (~v178(constB97)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31298,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB97) | v185(constB97) | (~v178(constB97)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31299,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB97) | v185(constB97) | (~v178(constB97))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31298, 31297])).
% 28.66/19.24 tff(31300,plain,
% 28.66/19.24 (v185(constB97) | (~v178(constB97))),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31299, 27314, 31296])).
% 28.66/19.24 tff(31301,plain,
% 28.66/19.24 (~v178(constB97)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31300, 31261])).
% 28.66/19.24 tff(31302,plain,
% 28.66/19.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB97, constB98)) | v178(constB97) | (~v180(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB97, constB98)) | v178(constB97) | (~v180(constB98)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31303,plain,
% 28.66/19.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB97, constB98)) | v178(constB97) | (~v180(constB98)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31304,plain,
% 28.66/19.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB97, constB98)) | v178(constB97) | (~v180(constB98))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31303, 31302])).
% 28.66/19.24 tff(31305,plain,
% 28.66/19.24 (v178(constB97) | (~v180(constB98))),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31304, 27329, 12705])).
% 28.66/19.24 tff(31306,plain,
% 28.66/19.24 (~v180(constB98)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31305, 31301])).
% 28.66/19.24 tff(31307,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB98) | (~v181(constB98)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB98) | (~v181(constB98)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31308,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB98) | (~v181(constB98)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31309,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB98) | (~v181(constB98))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31308, 31307])).
% 28.66/19.24 tff(31310,plain,
% 28.66/19.24 (~v181(constB98)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31309, 27344, 31306])).
% 28.66/19.24 tff(31311,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB98)) | (~v184(constB98)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB98)) | (~v184(constB98)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31312,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB98)) | (~v184(constB98)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31313,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB98)) | (~v184(constB98))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31312, 31311])).
% 28.66/19.24 tff(31314,plain,
% 28.66/19.24 (~v184(constB98)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31313, 59, 12725])).
% 28.66/19.24 tff(31315,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB98) | (~v187(constB98)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB98) | (~v187(constB98)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31316,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB98) | (~v187(constB98)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31317,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB98) | (~v187(constB98))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31316, 31315])).
% 28.66/19.24 tff(31318,plain,
% 28.66/19.24 (~v187(constB98)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31317, 27362, 31314])).
% 28.66/19.24 tff(31319,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB98) | (~v185(constB98)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB98) | (~v185(constB98)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31320,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB98) | (~v185(constB98)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31321,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB98) | (~v185(constB98))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31320, 31319])).
% 28.66/19.24 tff(31322,plain,
% 28.66/19.24 (~v185(constB98)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31321, 27188, 31318])).
% 28.66/19.24 tff(31323,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB98) | v185(constB98) | (~v178(constB98)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB98) | v185(constB98) | (~v178(constB98)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31324,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB98) | v185(constB98) | (~v178(constB98)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31325,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB98) | v185(constB98) | (~v178(constB98))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31324, 31323])).
% 28.66/19.24 tff(31326,plain,
% 28.66/19.24 (v181(constB98) | (~v178(constB98))),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31325, 27314, 31322])).
% 28.66/19.24 tff(31327,plain,
% 28.66/19.24 (~v178(constB98)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31326, 31310])).
% 28.66/19.24 tff(31328,plain,
% 28.66/19.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB98, constB99)) | v178(constB98) | (~v180(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB98, constB99)) | v178(constB98) | (~v180(constB99)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31329,plain,
% 28.66/19.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB98, constB99)) | v178(constB98) | (~v180(constB99)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31330,plain,
% 28.66/19.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB98, constB99)) | v178(constB98) | (~v180(constB99))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31329, 31328])).
% 28.66/19.24 tff(31331,plain,
% 28.66/19.24 (v178(constB98) | (~v180(constB99))),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31330, 27329, 12791])).
% 28.66/19.24 tff(31332,plain,
% 28.66/19.24 (~v180(constB99)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31331, 31327])).
% 28.66/19.24 tff(31333,plain,
% 28.66/19.24 ($false),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31332, 31202])).
% 28.66/19.24 tff(31334,plain,(~(constB99 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.24 tff(31335,assumption,(constB188 = sK_VarCurr), introduced(assumption)).
% 28.66/19.24 tff(31336,plain,
% 28.66/19.24 (v1(constB188) <=> v1(sK_VarCurr)),
% 28.66/19.24 inference(monotonicity,[status(thm)],[31335])).
% 28.66/19.24 tff(31337,plain,
% 28.66/19.24 (v1(sK_VarCurr) <=> v1(constB188)),
% 28.66/19.24 inference(symmetry,[status(thm)],[31336])).
% 28.66/19.24 tff(31338,plain,
% 28.66/19.24 ((~v1(sK_VarCurr)) <=> (~v1(constB188))),
% 28.66/19.24 inference(monotonicity,[status(thm)],[31337])).
% 28.66/19.24 tff(31339,plain,
% 28.66/19.24 (~v1(constB188)),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[63, 31338])).
% 28.66/19.24 tff(31340,plain,
% 28.66/19.24 ($false),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[26061, 31339])).
% 28.66/19.24 tff(31341,plain,(~(constB188 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.24 tff(31342,assumption,(constB160 = sK_VarCurr), introduced(assumption)).
% 28.66/19.24 tff(31343,plain,
% 28.66/19.24 (v1(constB160) <=> v1(sK_VarCurr)),
% 28.66/19.24 inference(monotonicity,[status(thm)],[31342])).
% 28.66/19.24 tff(31344,plain,
% 28.66/19.24 (v1(sK_VarCurr) <=> v1(constB160)),
% 28.66/19.24 inference(symmetry,[status(thm)],[31343])).
% 28.66/19.24 tff(31345,plain,
% 28.66/19.24 ((~v1(sK_VarCurr)) <=> (~v1(constB160))),
% 28.66/19.24 inference(monotonicity,[status(thm)],[31344])).
% 28.66/19.24 tff(31346,plain,
% 28.66/19.24 (~v1(constB160)),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[63, 31345])).
% 28.66/19.24 tff(31347,plain,
% 28.66/19.24 ($false),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[22939, 31346])).
% 28.66/19.24 tff(31348,plain,(~(constB160 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.24 tff(31349,assumption,(constB2 = sK_VarCurr), introduced(assumption)).
% 28.66/19.24 tff(31350,plain,
% 28.66/19.24 (v1(constB2) <=> v1(sK_VarCurr)),
% 28.66/19.24 inference(monotonicity,[status(thm)],[31349])).
% 28.66/19.24 tff(31351,plain,
% 28.66/19.24 (v1(sK_VarCurr) <=> v1(constB2)),
% 28.66/19.24 inference(symmetry,[status(thm)],[31350])).
% 28.66/19.24 tff(31352,plain,
% 28.66/19.24 ((~v1(sK_VarCurr)) <=> (~v1(constB2))),
% 28.66/19.24 inference(monotonicity,[status(thm)],[31351])).
% 28.66/19.24 tff(31353,plain,
% 28.66/19.24 (~v1(constB2)),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[63, 31352])).
% 28.66/19.24 tff(31354,plain,
% 28.66/19.24 ($false),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[400, 31353])).
% 28.66/19.24 tff(31355,plain,(~(constB2 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.24 tff(31356,assumption,(constB141 = sK_VarCurr), introduced(assumption)).
% 28.66/19.24 tff(31357,plain,
% 28.66/19.24 (v180(constB141) <=> v180(sK_VarCurr)),
% 28.66/19.24 inference(monotonicity,[status(thm)],[31356])).
% 28.66/19.24 tff(31358,plain,
% 28.66/19.24 (v180(sK_VarCurr) <=> v180(constB141)),
% 28.66/19.24 inference(symmetry,[status(thm)],[31357])).
% 28.66/19.24 tff(31359,plain,
% 28.66/19.24 (v180(constB141)),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[86, 31358])).
% 28.66/19.24 tff(31360,plain,
% 28.66/19.24 (v130(constB137, 1)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[20394, 1235, 20362])).
% 28.66/19.24 tff(31361,plain,
% 28.66/19.24 (v127(constB137, 1)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[20399, 31360])).
% 28.66/19.24 tff(31362,plain,
% 28.66/19.24 (v129(constB138, 1)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[20404, 31361])).
% 28.66/19.24 tff(31363,plain,
% 28.66/19.24 (v90(constB138, 1) | (~v129(constB138, 1))),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[20412, 885, 18332])).
% 28.66/19.24 tff(31364,plain,
% 28.66/19.24 (v90(constB138, 1)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31363, 31362])).
% 28.66/19.24 tff(31365,plain,
% 28.66/19.24 (v90(constB139, 1)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[20422, 31364])).
% 28.66/19.24 tff(31366,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB139, 1)) | v88(constB139, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB139, 1)) | v88(constB139, 1))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31367,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB139, 1)) | v88(constB139, 1))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31368,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB139, 1)) | v88(constB139, 1)),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31367, 31366])).
% 28.66/19.24 tff(31369,plain,
% 28.66/19.24 (v88(constB139, 1)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31368, 26945, 31365])).
% 28.66/19.24 tff(31370,plain,
% 28.66/19.24 (~v130(constB137, 2)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[20426, 1155, 20362])).
% 28.66/19.24 tff(31371,plain,
% 28.66/19.24 (~v127(constB137, 2)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[20434, 31370])).
% 28.66/19.24 tff(31372,plain,
% 28.66/19.24 (~v129(constB138, 2)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[20439, 31371])).
% 28.66/19.24 tff(31373,plain,
% 28.66/19.24 ((~v90(constB138, 2)) | v129(constB138, 2)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[20443, 488, 18332])).
% 28.66/19.24 tff(31374,plain,
% 28.66/19.24 (~v90(constB138, 2)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31373, 31372])).
% 28.66/19.24 tff(31375,plain,
% 28.66/19.24 (~v90(constB139, 2)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[20453, 31374])).
% 28.66/19.24 tff(31376,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB139, 2)) | v90(constB139, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB139, 2)) | v90(constB139, 2))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31377,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB139, 2)) | v90(constB139, 2))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31378,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB139, 2)) | v90(constB139, 2)),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31377, 31376])).
% 28.66/19.24 tff(31379,plain,
% 28.66/19.24 (~v88(constB139, 2)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31378, 27032, 31375])).
% 28.66/19.24 tff(31380,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB139, 0)) | v88(constB139, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB139, 0)) | v88(constB139, 0))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31381,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB139, 0)) | v88(constB139, 0))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31382,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB139, 0)) | v88(constB139, 0)),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31381, 31380])).
% 28.66/19.24 tff(31383,plain,
% 28.66/19.24 (v88(constB139, 0)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31382, 27874, 20390])).
% 28.66/19.24 tff(31384,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB139, 2) | (~v88(constB139, 1)) | (~v88(constB139, 0)) | v141(constB139))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB139, 2) | (~v88(constB139, 1)) | (~v88(constB139, 0)) | v141(constB139))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31385,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB139, 2) | (~v88(constB139, 1)) | (~v88(constB139, 0)) | v141(constB139))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31386,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB139, 2) | (~v88(constB139, 1)) | (~v88(constB139, 0)) | v141(constB139)),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31385, 31384])).
% 28.66/19.24 tff(31387,plain,
% 28.66/19.24 (v88(constB139, 2) | (~v88(constB139, 1)) | v141(constB139)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31386, 28757, 31383])).
% 28.66/19.24 tff(31388,plain,
% 28.66/19.24 (v141(constB139)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31387, 31379, 31369])).
% 28.66/19.24 tff(31389,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB139)) | v166(constB139))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | (~v141(constB139)) | v166(constB139))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31390,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB139)) | v166(constB139))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31391,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | (~v141(constB139)) | v166(constB139)),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31390, 31389])).
% 28.66/19.24 tff(31392,plain,
% 28.66/19.24 (v166(constB139)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31391, 28771, 31388])).
% 28.66/19.24 tff(31393,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB139) | (~v166(constB139)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB139) | (~v166(constB139)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31394,plain,
% 28.66/19.24 (((~v166(constB139)) | v165(constB139)) <=> (v165(constB139) | (~v166(constB139)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31395,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB139)) | v165(constB139))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB139) | (~v166(constB139))))),
% 28.66/19.24 inference(monotonicity,[status(thm)],[31394])).
% 28.66/19.24 tff(31396,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB139)) | v165(constB139))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB139) | (~v166(constB139)))),
% 28.66/19.24 inference(transitivity,[status(thm)],[31395, 31393])).
% 28.66/19.24 tff(31397,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB139)) | v165(constB139))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31398,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB139) | (~v166(constB139))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31397, 31396])).
% 28.66/19.24 tff(31399,plain,
% 28.66/19.24 (v165(constB139)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31398, 28782, 31392])).
% 28.66/19.24 tff(31400,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB139) | (~v165(constB139)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB139) | (~v165(constB139)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31401,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB139) | (~v165(constB139)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31402,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB139) | (~v165(constB139))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31401, 31400])).
% 28.66/19.24 tff(31403,plain,
% 28.66/19.24 (v164(constB139)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31402, 27089, 31399])).
% 28.66/19.24 tff(31404,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB139)) | (~v88(constB139, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB139)) | (~v88(constB139, 1)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31405,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB139)) | (~v88(constB139, 1)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31406,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB139)) | (~v88(constB139, 1))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31405, 31404])).
% 28.66/19.24 tff(31407,plain,
% 28.66/19.24 (~v140(constB139)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31406, 27128, 31369])).
% 28.66/19.24 tff(31408,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB139)) | (~v88(constB139, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB139)) | (~v88(constB139, 0)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31409,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB139)) | (~v88(constB139, 0)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31410,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB139)) | (~v88(constB139, 0))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31409, 31408])).
% 28.66/19.24 tff(31411,plain,
% 28.66/19.24 (~v139(constB139)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31410, 27885, 31383])).
% 28.66/19.24 tff(31412,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB139) | v140(constB139) | (~v168(constB139)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB139) | v140(constB139) | (~v168(constB139)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31413,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB139) | v140(constB139) | (~v168(constB139)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31414,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB139) | v140(constB139) | (~v168(constB139))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31413, 31412])).
% 28.66/19.24 tff(31415,plain,
% 28.66/19.24 (v140(constB139) | (~v168(constB139))),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31414, 27142, 31411])).
% 28.66/19.24 tff(31416,plain,
% 28.66/19.24 (~v168(constB139)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31415, 31407])).
% 28.66/19.24 tff(31417,plain,
% 28.66/19.24 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB139)) | v168(constB139) | (~v164(constB139)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB139)) | v168(constB139) | (~v164(constB139)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31418,plain,
% 28.66/19.24 (((~v164(constB139)) | v168(constB139) | (~v161(constB139))) <=> ((~v161(constB139)) | v168(constB139) | (~v164(constB139)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31419,plain,
% 28.66/19.24 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB139)) | v168(constB139) | (~v161(constB139)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB139)) | v168(constB139) | (~v164(constB139))))),
% 28.66/19.24 inference(monotonicity,[status(thm)],[31418])).
% 28.66/19.24 tff(31420,plain,
% 28.66/19.24 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB139)) | v168(constB139) | (~v161(constB139)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB139)) | v168(constB139) | (~v164(constB139)))),
% 28.66/19.24 inference(transitivity,[status(thm)],[31419, 31417])).
% 28.66/19.24 tff(31421,plain,
% 28.66/19.24 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB139)) | v168(constB139) | (~v161(constB139)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31422,plain,
% 28.66/19.24 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB139)) | v168(constB139) | (~v164(constB139))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31421, 31420])).
% 28.66/19.24 tff(31423,plain,
% 28.66/19.24 ((~v161(constB139)) | (~v164(constB139))),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31422, 27156, 31416])).
% 28.66/19.24 tff(31424,plain,
% 28.66/19.24 (~v161(constB139)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31423, 31403])).
% 28.66/19.24 tff(31425,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB139) | (~v187(constB139)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB139) | (~v187(constB139)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31426,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB139) | (~v187(constB139)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31427,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB139) | (~v187(constB139))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31426, 31425])).
% 28.66/19.24 tff(31428,plain,
% 28.66/19.24 (~v187(constB139)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31427, 27174, 31424])).
% 28.66/19.24 tff(31429,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB139) | (~v185(constB139)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB139) | (~v185(constB139)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31430,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB139) | (~v185(constB139)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31431,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB139) | (~v185(constB139))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31430, 31429])).
% 28.66/19.24 tff(31432,plain,
% 28.66/19.24 (~v185(constB139)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31431, 27188, 31428])).
% 28.66/19.24 tff(31433,assumption,(v18(constB140)), introduced(assumption)).
% 28.66/19.24 tff(31434,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB140))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31435,plain,
% 28.66/19.24 ($false),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31434, 27200, 31433])).
% 28.66/19.24 tff(31436,plain,(~v18(constB140)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.24 tff(31437,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB140) | (~v1(constB140)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB140) | (~v1(constB140)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31438,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB140) | (~v1(constB140)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31439,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB140) | (~v1(constB140))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31438, 31437])).
% 28.66/19.24 tff(31440,plain,
% 28.66/19.24 (v22(constB140)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31439, 27216, 20772])).
% 28.66/19.24 tff(31441,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB140) | (~v22(constB140)) | (~v19(constB140)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB140) | (~v22(constB140)) | (~v19(constB140)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31442,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB140) | (~v22(constB140)) | (~v19(constB140)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31443,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB140) | (~v22(constB140)) | (~v19(constB140))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31442, 31441])).
% 28.66/19.24 tff(31444,plain,
% 28.66/19.24 (v18(constB140) | (~v19(constB140))),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31443, 27230, 31440])).
% 28.66/19.24 tff(31445,plain,
% 28.66/19.24 (~v19(constB140)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31444, 31436])).
% 28.66/19.24 tff(31446,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB140) | v19(constB140))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB140) | v19(constB140))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31447,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB140) | v19(constB140))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31448,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB140) | v19(constB140)),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31447, 31446])).
% 28.66/19.24 tff(31449,plain,
% 28.66/19.24 (v13(constB140)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31448, 27242, 31445])).
% 28.66/19.24 tff(31450,plain,
% 28.66/19.24 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB139) | (~v13(constB140)) | (~nextState(constB139, constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB139) | (~v13(constB140)) | (~nextState(constB139, constB140)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31451,plain,
% 28.66/19.24 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB139) | (~v13(constB140)) | (~nextState(constB139, constB140)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31452,plain,
% 28.66/19.24 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB139) | (~v13(constB140)) | (~nextState(constB139, constB140))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31451, 31450])).
% 28.66/19.24 tff(31453,plain,
% 28.66/19.24 (v9(constB139) | (~v13(constB140))),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31452, 27259, 20478])).
% 28.66/19.24 tff(31454,plain,
% 28.66/19.24 (v9(constB139)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31453, 31449])).
% 28.66/19.24 tff(31455,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB139) | (~v9(constB139)) | v184(constB139))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB139) | (~v9(constB139)) | v184(constB139))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31456,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB139) | (~v9(constB139)) | v184(constB139))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31457,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB139) | (~v9(constB139)) | v184(constB139)),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31456, 31455])).
% 28.66/19.24 tff(31458,plain,
% 28.66/19.24 ((~v9(constB139)) | v184(constB139)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31457, 27274, 20366])).
% 28.66/19.24 tff(31459,plain,
% 28.66/19.24 (v184(constB139)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31458, 31454])).
% 28.66/19.24 tff(31460,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB139)) | v183(constB139))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB139)) | v183(constB139))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31461,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB139)) | v183(constB139))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31462,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB139)) | v183(constB139)),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31461, 31460])).
% 28.66/19.24 tff(31463,plain,
% 28.66/19.24 (v183(constB139)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31462, 27286, 31459])).
% 28.66/19.24 tff(31464,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB139)) | (~v183(constB139)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB139)) | (~v183(constB139)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31465,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB139)) | (~v183(constB139)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31466,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB139)) | (~v183(constB139))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31465, 31464])).
% 28.66/19.24 tff(31467,plain,
% 28.66/19.24 (~v181(constB139)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31466, 27300, 31463])).
% 28.66/19.24 tff(31468,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB139) | v185(constB139) | (~v178(constB139)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB139) | v185(constB139) | (~v178(constB139)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31469,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB139) | v185(constB139) | (~v178(constB139)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31470,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB139) | v185(constB139) | (~v178(constB139))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31469, 31468])).
% 28.66/19.24 tff(31471,plain,
% 28.66/19.24 (v185(constB139) | (~v178(constB139))),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31470, 27314, 31467])).
% 28.66/19.24 tff(31472,plain,
% 28.66/19.24 (~v178(constB139)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31471, 31432])).
% 28.66/19.24 tff(31473,plain,
% 28.66/19.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB139, constB140)) | v178(constB139) | (~v180(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB139, constB140)) | v178(constB139) | (~v180(constB140)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31474,plain,
% 28.66/19.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB139, constB140)) | v178(constB139) | (~v180(constB140)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31475,plain,
% 28.66/19.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB139, constB140)) | v178(constB139) | (~v180(constB140))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31474, 31473])).
% 28.66/19.24 tff(31476,plain,
% 28.66/19.24 (v178(constB139) | (~v180(constB140))),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31475, 27329, 20478])).
% 28.66/19.24 tff(31477,plain,
% 28.66/19.24 (~v180(constB140)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31476, 31472])).
% 28.66/19.24 tff(31478,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB140) | (~v181(constB140)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB140) | (~v181(constB140)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31479,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB140) | (~v181(constB140)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31480,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB140) | (~v181(constB140))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31479, 31478])).
% 28.66/19.24 tff(31481,plain,
% 28.66/19.24 (~v181(constB140)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31480, 27344, 31477])).
% 28.66/19.24 tff(31482,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB140)) | (~v184(constB140)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB140)) | (~v184(constB140)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31483,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB140)) | (~v184(constB140)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31484,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB140)) | (~v184(constB140))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31483, 31482])).
% 28.66/19.24 tff(31485,plain,
% 28.66/19.24 (~v184(constB140)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31484, 59, 20772])).
% 28.66/19.24 tff(31486,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB140) | (~v187(constB140)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB140) | (~v187(constB140)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31487,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB140) | (~v187(constB140)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31488,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB140) | (~v187(constB140))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31487, 31486])).
% 28.66/19.24 tff(31489,plain,
% 28.66/19.24 (~v187(constB140)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31488, 27362, 31485])).
% 28.66/19.24 tff(31490,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB140) | (~v185(constB140)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB140) | (~v185(constB140)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31491,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB140) | (~v185(constB140)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31492,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB140) | (~v185(constB140))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31491, 31490])).
% 28.66/19.24 tff(31493,plain,
% 28.66/19.24 (~v185(constB140)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31492, 27188, 31489])).
% 28.66/19.24 tff(31494,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB140) | v185(constB140) | (~v178(constB140)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB140) | v185(constB140) | (~v178(constB140)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31495,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB140) | v185(constB140) | (~v178(constB140)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31496,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB140) | v185(constB140) | (~v178(constB140))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31495, 31494])).
% 28.66/19.24 tff(31497,plain,
% 28.66/19.24 (v181(constB140) | (~v178(constB140))),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31496, 27314, 31493])).
% 28.66/19.24 tff(31498,plain,
% 28.66/19.24 (~v178(constB140)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31497, 31481])).
% 28.66/19.24 tff(31499,plain,
% 28.66/19.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB140, constB141)) | v178(constB140) | (~v180(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB140, constB141)) | v178(constB140) | (~v180(constB141)))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31500,plain,
% 28.66/19.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB140, constB141)) | v178(constB140) | (~v180(constB141)))),
% 28.66/19.24 inference(quant_inst,[status(thm)],[])).
% 28.66/19.24 tff(31501,plain,
% 28.66/19.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB140, constB141)) | v178(constB140) | (~v180(constB141))),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[31500, 31499])).
% 28.66/19.24 tff(31502,plain,
% 28.66/19.24 (v178(constB140) | (~v180(constB141))),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31501, 27329, 20800])).
% 28.66/19.24 tff(31503,plain,
% 28.66/19.24 (~v180(constB141)),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31502, 31498])).
% 28.66/19.24 tff(31504,plain,
% 28.66/19.24 ($false),
% 28.66/19.24 inference(unit_resolution,[status(thm)],[31503, 31359])).
% 28.66/19.24 tff(31505,plain,(~(constB141 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.24 tff(31506,assumption,(constB87 = sK_VarCurr), introduced(assumption)).
% 28.66/19.24 tff(31507,plain,
% 28.66/19.24 (v180(constB87) <=> v180(sK_VarCurr)),
% 28.66/19.24 inference(monotonicity,[status(thm)],[31506])).
% 28.66/19.24 tff(31508,plain,
% 28.66/19.24 (v180(sK_VarCurr) <=> v180(constB87)),
% 28.66/19.24 inference(symmetry,[status(thm)],[31507])).
% 28.66/19.24 tff(31509,plain,
% 28.66/19.24 (v180(constB87)),
% 28.66/19.24 inference(modus_ponens,[status(thm)],[86, 31508])).
% 28.66/19.24 tff(31510,plain,
% 28.66/19.24 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB85, 0)) | v90(constB85, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB85, 0)) | v90(constB85, 0))),
% 28.66/19.24 inference(rewrite,[status(thm)],[])).
% 28.66/19.24 tff(31511,plain,
% 28.66/19.24 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB85, 0)) | v90(constB85, 0))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31512,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB85, 0)) | v90(constB85, 0)),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31511, 31510])).
% 28.66/19.25 tff(31513,plain,
% 28.66/19.25 (~v88(constB85, 0)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31512, 26990, 11127])).
% 28.66/19.25 tff(31514,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB85, 2)) | v88(constB85, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB85, 2)) | v88(constB85, 2))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31515,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB85, 2)) | v88(constB85, 2))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31516,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB85, 2)) | v88(constB85, 2)),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31515, 31514])).
% 28.66/19.25 tff(31517,plain,
% 28.66/19.25 (v88(constB85, 2)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31516, 27680, 11049])).
% 28.66/19.25 tff(31518,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB85, 1)) | v88(constB85, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB85, 1)) | v88(constB85, 1))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31519,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB85, 1)) | v88(constB85, 1))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31520,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB85, 1)) | v88(constB85, 1)),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31519, 31518])).
% 28.66/19.25 tff(31521,plain,
% 28.66/19.25 (v88(constB85, 1)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31520, 26945, 11014])).
% 28.66/19.25 tff(31522,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB85, 0) | (~v88(constB85, 2)) | (~v88(constB85, 1)) | v144(constB85))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB85, 0) | (~v88(constB85, 2)) | (~v88(constB85, 1)) | v144(constB85))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31523,plain,
% 28.66/19.25 (((~v88(constB85, 2)) | (~v88(constB85, 1)) | v88(constB85, 0) | v144(constB85)) <=> (v88(constB85, 0) | (~v88(constB85, 2)) | (~v88(constB85, 1)) | v144(constB85))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31524,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB85, 2)) | (~v88(constB85, 1)) | v88(constB85, 0) | v144(constB85))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB85, 0) | (~v88(constB85, 2)) | (~v88(constB85, 1)) | v144(constB85)))),
% 28.66/19.25 inference(monotonicity,[status(thm)],[31523])).
% 28.66/19.25 tff(31525,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB85, 2)) | (~v88(constB85, 1)) | v88(constB85, 0) | v144(constB85))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB85, 0) | (~v88(constB85, 2)) | (~v88(constB85, 1)) | v144(constB85))),
% 28.66/19.25 inference(transitivity,[status(thm)],[31524, 31522])).
% 28.66/19.25 tff(31526,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB85, 2)) | (~v88(constB85, 1)) | v88(constB85, 0) | v144(constB85))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31527,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB85, 0) | (~v88(constB85, 2)) | (~v88(constB85, 1)) | v144(constB85)),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31526, 31525])).
% 28.66/19.25 tff(31528,plain,
% 28.66/19.25 (v144(constB85)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31527, 28458, 31521, 31517, 31513])).
% 28.66/19.25 tff(31529,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (v142(constB85) | (~v144(constB85)))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | v142(constB85) | (~v144(constB85)))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31530,plain,
% 28.66/19.25 (((~v144(constB85)) | v142(constB85)) <=> (v142(constB85) | (~v144(constB85)))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31531,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB85)) | v142(constB85))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (v142(constB85) | (~v144(constB85))))),
% 28.66/19.25 inference(monotonicity,[status(thm)],[31530])).
% 28.66/19.25 tff(31532,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB85)) | v142(constB85))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | v142(constB85) | (~v144(constB85)))),
% 28.66/19.25 inference(transitivity,[status(thm)],[31531, 31529])).
% 28.66/19.25 tff(31533,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB85)) | v142(constB85))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31534,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | v142(constB85) | (~v144(constB85))),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31533, 31532])).
% 28.66/19.25 tff(31535,plain,
% 28.66/19.25 (v142(constB85)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31534, 28472, 31528])).
% 28.66/19.25 tff(31536,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB85)) | v165(constB85))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB85)) | v165(constB85))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31537,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB85)) | v165(constB85))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31538,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB85)) | v165(constB85)),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31537, 31536])).
% 28.66/19.25 tff(31539,plain,
% 28.66/19.25 (v165(constB85)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31538, 27075, 31535])).
% 28.66/19.25 tff(31540,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB85) | (~v165(constB85)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB85) | (~v165(constB85)))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31541,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB85) | (~v165(constB85)))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31542,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB85) | (~v165(constB85))),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31541, 31540])).
% 28.66/19.25 tff(31543,plain,
% 28.66/19.25 (v164(constB85)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31542, 27089, 31539])).
% 28.66/19.25 tff(31544,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB85)) | (~v88(constB85, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB85)) | (~v88(constB85, 1)))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31545,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB85)) | (~v88(constB85, 1)))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31546,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB85)) | (~v88(constB85, 1))),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31545, 31544])).
% 28.66/19.25 tff(31547,plain,
% 28.66/19.25 (~v139(constB85)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31546, 27117, 31521])).
% 28.66/19.25 tff(31548,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB85)) | (~v88(constB85, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB85)) | (~v88(constB85, 1)))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31549,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB85)) | (~v88(constB85, 1)))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31550,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB85)) | (~v88(constB85, 1))),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31549, 31548])).
% 28.66/19.25 tff(31551,plain,
% 28.66/19.25 (~v140(constB85)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31550, 27128, 31521])).
% 28.66/19.25 tff(31552,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB85) | v140(constB85) | (~v168(constB85)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB85) | v140(constB85) | (~v168(constB85)))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31553,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB85) | v140(constB85) | (~v168(constB85)))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31554,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB85) | v140(constB85) | (~v168(constB85))),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31553, 31552])).
% 28.66/19.25 tff(31555,plain,
% 28.66/19.25 (~v168(constB85)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31554, 27142, 31551, 31547])).
% 28.66/19.25 tff(31556,plain,
% 28.66/19.25 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB85)) | (~v164(constB85)) | v168(constB85))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB85)) | (~v164(constB85)) | v168(constB85))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31557,plain,
% 28.66/19.25 (((~v164(constB85)) | v168(constB85) | (~v161(constB85))) <=> ((~v161(constB85)) | (~v164(constB85)) | v168(constB85))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31558,plain,
% 28.66/19.25 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB85)) | v168(constB85) | (~v161(constB85)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB85)) | (~v164(constB85)) | v168(constB85)))),
% 28.66/19.25 inference(monotonicity,[status(thm)],[31557])).
% 28.66/19.25 tff(31559,plain,
% 28.66/19.25 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB85)) | v168(constB85) | (~v161(constB85)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB85)) | (~v164(constB85)) | v168(constB85))),
% 28.66/19.25 inference(transitivity,[status(thm)],[31558, 31556])).
% 28.66/19.25 tff(31560,plain,
% 28.66/19.25 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB85)) | v168(constB85) | (~v161(constB85)))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31561,plain,
% 28.66/19.25 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB85)) | (~v164(constB85)) | v168(constB85)),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31560, 31559])).
% 28.66/19.25 tff(31562,plain,
% 28.66/19.25 ((~v161(constB85)) | (~v164(constB85))),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31561, 27156, 31555])).
% 28.66/19.25 tff(31563,plain,
% 28.66/19.25 (~v161(constB85)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31562, 31543])).
% 28.66/19.25 tff(31564,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB85) | (~v187(constB85)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB85) | (~v187(constB85)))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31565,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB85) | (~v187(constB85)))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31566,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB85) | (~v187(constB85))),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31565, 31564])).
% 28.66/19.25 tff(31567,plain,
% 28.66/19.25 (~v187(constB85)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31566, 27174, 31563])).
% 28.66/19.25 tff(31568,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB85) | (~v185(constB85)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB85) | (~v185(constB85)))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31569,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB85) | (~v185(constB85)))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31570,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB85) | (~v185(constB85))),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31569, 31568])).
% 28.66/19.25 tff(31571,plain,
% 28.66/19.25 (~v185(constB85)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31570, 27188, 31567])).
% 28.66/19.25 tff(31572,assumption,(v18(constB86)), introduced(assumption)).
% 28.66/19.25 tff(31573,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB86))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31574,plain,
% 28.66/19.25 ($false),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31573, 27200, 31572])).
% 28.66/19.25 tff(31575,plain,(~v18(constB86)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.25 tff(31576,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB86) | (~v1(constB86)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB86) | (~v1(constB86)))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31577,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB86) | (~v1(constB86)))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31578,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB86) | (~v1(constB86))),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31577, 31576])).
% 28.66/19.25 tff(31579,plain,
% 28.66/19.25 (v22(constB86)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31578, 27216, 11181])).
% 28.66/19.25 tff(31580,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB86) | (~v22(constB86)) | (~v19(constB86)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB86) | (~v22(constB86)) | (~v19(constB86)))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31581,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB86) | (~v22(constB86)) | (~v19(constB86)))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31582,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB86) | (~v22(constB86)) | (~v19(constB86))),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31581, 31580])).
% 28.66/19.25 tff(31583,plain,
% 28.66/19.25 (v18(constB86) | (~v19(constB86))),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31582, 27230, 31579])).
% 28.66/19.25 tff(31584,plain,
% 28.66/19.25 (~v19(constB86)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31583, 31575])).
% 28.66/19.25 tff(31585,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB86) | v19(constB86))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB86) | v19(constB86))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31586,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB86) | v19(constB86))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31587,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB86) | v19(constB86)),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31586, 31585])).
% 28.66/19.25 tff(31588,plain,
% 28.66/19.25 (v13(constB86)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31587, 27242, 31584])).
% 28.66/19.25 tff(31589,plain,
% 28.66/19.25 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB85) | (~v13(constB86)) | (~nextState(constB85, constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB85) | (~v13(constB86)) | (~nextState(constB85, constB86)))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31590,plain,
% 28.66/19.25 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB85) | (~v13(constB86)) | (~nextState(constB85, constB86)))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31591,plain,
% 28.66/19.25 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB85) | (~v13(constB86)) | (~nextState(constB85, constB86))),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31590, 31589])).
% 28.66/19.25 tff(31592,plain,
% 28.66/19.25 (v9(constB85) | (~v13(constB86))),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31591, 27259, 11088])).
% 28.66/19.25 tff(31593,plain,
% 28.66/19.25 (v9(constB85)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31592, 31588])).
% 28.66/19.25 tff(31594,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB85) | (~v9(constB85)) | v184(constB85))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB85) | (~v9(constB85)) | v184(constB85))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31595,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB85) | (~v9(constB85)) | v184(constB85))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31596,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB85) | (~v9(constB85)) | v184(constB85)),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31595, 31594])).
% 28.66/19.25 tff(31597,plain,
% 28.66/19.25 ((~v9(constB85)) | v184(constB85)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31596, 27274, 10990])).
% 28.66/19.25 tff(31598,plain,
% 28.66/19.25 (v184(constB85)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31597, 31593])).
% 28.66/19.25 tff(31599,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB85) | (~v184(constB85)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB85) | (~v184(constB85)))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31600,plain,
% 28.66/19.25 (((~v184(constB85)) | v183(constB85)) <=> (v183(constB85) | (~v184(constB85)))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31601,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB85)) | v183(constB85))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB85) | (~v184(constB85))))),
% 28.66/19.25 inference(monotonicity,[status(thm)],[31600])).
% 28.66/19.25 tff(31602,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB85)) | v183(constB85))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB85) | (~v184(constB85)))),
% 28.66/19.25 inference(transitivity,[status(thm)],[31601, 31599])).
% 28.66/19.25 tff(31603,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB85)) | v183(constB85))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31604,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB85) | (~v184(constB85))),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31603, 31602])).
% 28.66/19.25 tff(31605,plain,
% 28.66/19.25 (v183(constB85)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31604, 27286, 31598])).
% 28.66/19.25 tff(31606,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB85)) | (~v183(constB85)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB85)) | (~v183(constB85)))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31607,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB85)) | (~v183(constB85)))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31608,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB85)) | (~v183(constB85))),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31607, 31606])).
% 28.66/19.25 tff(31609,plain,
% 28.66/19.25 (~v181(constB85)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31608, 27300, 31605])).
% 28.66/19.25 tff(31610,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB85) | v185(constB85) | (~v178(constB85)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB85) | v185(constB85) | (~v178(constB85)))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31611,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB85) | v185(constB85) | (~v178(constB85)))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31612,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB85) | v185(constB85) | (~v178(constB85))),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31611, 31610])).
% 28.66/19.25 tff(31613,plain,
% 28.66/19.25 (v185(constB85) | (~v178(constB85))),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31612, 27314, 31609])).
% 28.66/19.25 tff(31614,plain,
% 28.66/19.25 (~v178(constB85)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31613, 31571])).
% 28.66/19.25 tff(31615,plain,
% 28.66/19.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB85, constB86)) | v178(constB85) | (~v180(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB85, constB86)) | v178(constB85) | (~v180(constB86)))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31616,plain,
% 28.66/19.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB85, constB86)) | v178(constB85) | (~v180(constB86)))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31617,plain,
% 28.66/19.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB85, constB86)) | v178(constB85) | (~v180(constB86))),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31616, 31615])).
% 28.66/19.25 tff(31618,plain,
% 28.66/19.25 (v178(constB85) | (~v180(constB86))),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31617, 27329, 11088])).
% 28.66/19.25 tff(31619,plain,
% 28.66/19.25 (~v180(constB86)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31618, 31614])).
% 28.66/19.25 tff(31620,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB86) | (~v181(constB86)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB86) | (~v181(constB86)))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31621,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB86) | (~v181(constB86)))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31622,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB86) | (~v181(constB86))),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31621, 31620])).
% 28.66/19.25 tff(31623,plain,
% 28.66/19.25 (~v181(constB86)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31622, 27344, 31619])).
% 28.66/19.25 tff(31624,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB86)) | (~v184(constB86)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB86)) | (~v184(constB86)))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31625,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB86)) | (~v184(constB86)))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31626,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB86)) | (~v184(constB86))),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31625, 31624])).
% 28.66/19.25 tff(31627,plain,
% 28.66/19.25 (~v184(constB86)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31626, 59, 11181])).
% 28.66/19.25 tff(31628,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB86) | (~v187(constB86)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB86) | (~v187(constB86)))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31629,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB86) | (~v187(constB86)))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31630,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB86) | (~v187(constB86))),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31629, 31628])).
% 28.66/19.25 tff(31631,plain,
% 28.66/19.25 (~v187(constB86)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31630, 27362, 31627])).
% 28.66/19.25 tff(31632,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB86) | (~v185(constB86)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB86) | (~v185(constB86)))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31633,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB86) | (~v185(constB86)))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31634,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB86) | (~v185(constB86))),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31633, 31632])).
% 28.66/19.25 tff(31635,plain,
% 28.66/19.25 (~v185(constB86)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31634, 27188, 31631])).
% 28.66/19.25 tff(31636,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB86) | v185(constB86) | (~v178(constB86)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB86) | v185(constB86) | (~v178(constB86)))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31637,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB86) | v185(constB86) | (~v178(constB86)))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31638,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB86) | v185(constB86) | (~v178(constB86))),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31637, 31636])).
% 28.66/19.25 tff(31639,plain,
% 28.66/19.25 (v181(constB86) | (~v178(constB86))),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31638, 27314, 31635])).
% 28.66/19.25 tff(31640,plain,
% 28.66/19.25 (~v178(constB86)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31639, 31623])).
% 28.66/19.25 tff(31641,plain,
% 28.66/19.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB86, constB87)) | v178(constB86) | (~v180(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB86, constB87)) | v178(constB86) | (~v180(constB87)))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31642,plain,
% 28.66/19.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB86, constB87)) | v178(constB86) | (~v180(constB87)))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31643,plain,
% 28.66/19.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB86, constB87)) | v178(constB86) | (~v180(constB87))),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31642, 31641])).
% 28.66/19.25 tff(31644,plain,
% 28.66/19.25 (v178(constB86) | (~v180(constB87))),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31643, 27329, 11234])).
% 28.66/19.25 tff(31645,plain,
% 28.66/19.25 (~v180(constB87)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31644, 31640])).
% 28.66/19.25 tff(31646,plain,
% 28.66/19.25 ($false),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31645, 31509])).
% 28.66/19.25 tff(31647,plain,(~(constB87 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.66/19.25 tff(31648,assumption,(constB179 = sK_VarCurr), introduced(assumption)).
% 28.66/19.25 tff(31649,plain,
% 28.66/19.25 (v180(constB179) <=> v180(sK_VarCurr)),
% 28.66/19.25 inference(monotonicity,[status(thm)],[31648])).
% 28.66/19.25 tff(31650,plain,
% 28.66/19.25 (v180(sK_VarCurr) <=> v180(constB179)),
% 28.66/19.25 inference(symmetry,[status(thm)],[31649])).
% 28.66/19.25 tff(31651,plain,
% 28.66/19.25 (v180(constB179)),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[86, 31650])).
% 28.66/19.25 tff(31652,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB177, 2)) | v88(constB177, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB177, 2)) | v88(constB177, 2))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31653,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB177, 2)) | v88(constB177, 2))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31654,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB177, 2)) | v88(constB177, 2)),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31653, 31652])).
% 28.66/19.25 tff(31655,plain,
% 28.66/19.25 (v88(constB177, 2)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31654, 27680, 24548])).
% 28.66/19.25 tff(31656,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB177)) | (~v88(constB177, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB177)) | (~v88(constB177, 2)))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31657,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB177)) | (~v88(constB177, 2)))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31658,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB177)) | (~v88(constB177, 2))),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31657, 31656])).
% 28.66/19.25 tff(31659,plain,
% 28.66/19.25 (~v139(constB177)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31658, 27691, 31655])).
% 28.66/19.25 tff(31660,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB177)) | (~v88(constB177, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB177)) | (~v88(constB177, 2)))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31661,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB177)) | (~v88(constB177, 2)))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31662,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB177)) | (~v88(constB177, 2))),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31661, 31660])).
% 28.66/19.25 tff(31663,plain,
% 28.66/19.25 (~v140(constB177)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31662, 27702, 31655])).
% 28.66/19.25 tff(31664,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB177) | v140(constB177) | (~v168(constB177)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB177) | v140(constB177) | (~v168(constB177)))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31665,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB177) | v140(constB177) | (~v168(constB177)))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31666,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB177) | v140(constB177) | (~v168(constB177))),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31665, 31664])).
% 28.66/19.25 tff(31667,plain,
% 28.66/19.25 (~v168(constB177)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31666, 27142, 31663, 31659])).
% 28.66/19.25 tff(31668,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB177, 1)) | v90(constB177, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB177, 1)) | v90(constB177, 1))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31669,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB177, 1)) | v90(constB177, 1))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31670,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB177, 1)) | v90(constB177, 1)),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31669, 31668])).
% 28.66/19.25 tff(31671,plain,
% 28.66/19.25 (~v88(constB177, 1)),
% 28.66/19.25 inference(unit_resolution,[status(thm)],[31670, 27717, 24582])).
% 28.66/19.25 tff(31672,plain,
% 28.66/19.25 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB177, 0)) | v90(constB177, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB177, 0)) | v90(constB177, 0))),
% 28.66/19.25 inference(rewrite,[status(thm)],[])).
% 28.66/19.25 tff(31673,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB177, 0)) | v90(constB177, 0))),
% 28.66/19.25 inference(quant_inst,[status(thm)],[])).
% 28.66/19.25 tff(31674,plain,
% 28.66/19.25 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB177, 0)) | v90(constB177, 0)),
% 28.66/19.25 inference(modus_ponens,[status(thm)],[31673, 31672])).
% 28.66/19.25 tff(31675,plain,
% 28.74/19.25 (~v88(constB177, 0)),
% 28.74/19.25 inference(unit_resolution,[status(thm)],[31674, 26990, 24616])).
% 28.74/19.25 tff(31676,plain,
% 28.74/19.25 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB177, 1) | v88(constB177, 0) | (~v88(constB177, 2)) | v146(constB177))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB177, 1) | v88(constB177, 0) | (~v88(constB177, 2)) | v146(constB177))),
% 28.74/19.25 inference(rewrite,[status(thm)],[])).
% 28.74/19.25 tff(31677,plain,
% 28.74/19.25 (((~v88(constB177, 2)) | v88(constB177, 1) | v88(constB177, 0) | v146(constB177)) <=> (v88(constB177, 1) | v88(constB177, 0) | (~v88(constB177, 2)) | v146(constB177))),
% 28.74/19.25 inference(rewrite,[status(thm)],[])).
% 28.74/19.25 tff(31678,plain,
% 28.74/19.25 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB177, 2)) | v88(constB177, 1) | v88(constB177, 0) | v146(constB177))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB177, 1) | v88(constB177, 0) | (~v88(constB177, 2)) | v146(constB177)))),
% 28.74/19.25 inference(monotonicity,[status(thm)],[31677])).
% 28.74/19.25 tff(31679,plain,
% 28.74/19.25 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB177, 2)) | v88(constB177, 1) | v88(constB177, 0) | v146(constB177))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB177, 1) | v88(constB177, 0) | (~v88(constB177, 2)) | v146(constB177))),
% 28.74/19.25 inference(transitivity,[status(thm)],[31678, 31676])).
% 28.74/19.25 tff(31680,plain,
% 28.74/19.25 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB177, 2)) | v88(constB177, 1) | v88(constB177, 0) | v146(constB177))),
% 28.74/19.25 inference(quant_inst,[status(thm)],[])).
% 28.74/19.25 tff(31681,plain,
% 28.74/19.25 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB177, 1) | v88(constB177, 0) | (~v88(constB177, 2)) | v146(constB177)),
% 28.74/19.25 inference(modus_ponens,[status(thm)],[31680, 31679])).
% 28.74/19.25 tff(31682,plain,
% 28.74/19.25 (v146(constB177)),
% 28.74/19.25 inference(unit_resolution,[status(thm)],[31681, 27735, 31655, 31675, 31671])).
% 28.74/19.25 tff(31683,plain,
% 28.74/19.25 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB177) | (~v146(constB177)))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB177) | (~v146(constB177)))),
% 28.74/19.25 inference(rewrite,[status(thm)],[])).
% 28.74/19.25 tff(31684,plain,
% 28.74/19.25 (((~v146(constB177)) | v145(constB177)) <=> (v145(constB177) | (~v146(constB177)))),
% 28.74/19.25 inference(rewrite,[status(thm)],[])).
% 28.74/19.25 tff(31685,plain,
% 28.74/19.25 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB177)) | v145(constB177))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB177) | (~v146(constB177))))),
% 28.74/19.25 inference(monotonicity,[status(thm)],[31684])).
% 28.74/19.25 tff(31686,plain,
% 28.74/19.25 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB177)) | v145(constB177))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB177) | (~v146(constB177)))),
% 28.74/19.25 inference(transitivity,[status(thm)],[31685, 31683])).
% 28.74/19.25 tff(31687,plain,
% 28.74/19.25 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB177)) | v145(constB177))),
% 28.74/19.25 inference(quant_inst,[status(thm)],[])).
% 28.74/19.25 tff(31688,plain,
% 28.74/19.25 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB177) | (~v146(constB177))),
% 28.74/19.25 inference(modus_ponens,[status(thm)],[31687, 31686])).
% 28.74/19.25 tff(31689,plain,
% 28.74/19.25 (v145(constB177)),
% 28.74/19.25 inference(unit_resolution,[status(thm)],[31688, 27749, 31682])).
% 28.74/19.25 tff(31690,plain,
% 28.74/19.25 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB177) | (~v145(constB177)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB177) | (~v145(constB177)))),
% 28.74/19.25 inference(rewrite,[status(thm)],[])).
% 28.74/19.25 tff(31691,plain,
% 28.74/19.25 (((~v145(constB177)) | v164(constB177)) <=> (v164(constB177) | (~v145(constB177)))),
% 28.74/19.25 inference(rewrite,[status(thm)],[])).
% 28.74/19.25 tff(31692,plain,
% 28.74/19.25 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB177)) | v164(constB177))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB177) | (~v145(constB177))))),
% 28.74/19.25 inference(monotonicity,[status(thm)],[31691])).
% 28.74/19.25 tff(31693,plain,
% 28.74/19.25 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB177)) | v164(constB177))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB177) | (~v145(constB177)))),
% 28.74/19.25 inference(transitivity,[status(thm)],[31692, 31690])).
% 28.74/19.25 tff(31694,plain,
% 28.74/19.25 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB177)) | v164(constB177))),
% 28.74/19.25 inference(quant_inst,[status(thm)],[])).
% 28.74/19.25 tff(31695,plain,
% 28.74/19.25 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB177) | (~v145(constB177))),
% 28.74/19.25 inference(modus_ponens,[status(thm)],[31694, 31693])).
% 28.74/19.25 tff(31696,plain,
% 28.74/19.25 (v164(constB177)),
% 28.74/19.25 inference(unit_resolution,[status(thm)],[31695, 27760, 31689])).
% 28.74/19.25 tff(31697,plain,
% 28.74/19.25 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB177)) | (~v164(constB177)) | v168(constB177))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB177)) | (~v164(constB177)) | v168(constB177))),
% 28.74/19.25 inference(rewrite,[status(thm)],[])).
% 28.74/19.25 tff(31698,plain,
% 28.74/19.25 (((~v164(constB177)) | v168(constB177) | (~v161(constB177))) <=> ((~v161(constB177)) | (~v164(constB177)) | v168(constB177))),
% 28.74/19.25 inference(rewrite,[status(thm)],[])).
% 28.74/19.25 tff(31699,plain,
% 28.74/19.25 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB177)) | v168(constB177) | (~v161(constB177)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB177)) | (~v164(constB177)) | v168(constB177)))),
% 28.74/19.25 inference(monotonicity,[status(thm)],[31698])).
% 28.74/19.25 tff(31700,plain,
% 28.74/19.25 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB177)) | v168(constB177) | (~v161(constB177)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB177)) | (~v164(constB177)) | v168(constB177))),
% 28.74/19.25 inference(transitivity,[status(thm)],[31699, 31697])).
% 28.74/19.25 tff(31701,plain,
% 28.74/19.25 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB177)) | v168(constB177) | (~v161(constB177)))),
% 28.74/19.25 inference(quant_inst,[status(thm)],[])).
% 28.74/19.25 tff(31702,plain,
% 28.74/19.25 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB177)) | (~v164(constB177)) | v168(constB177)),
% 28.74/19.25 inference(modus_ponens,[status(thm)],[31701, 31700])).
% 28.74/19.25 tff(31703,plain,
% 28.74/19.25 (~v161(constB177)),
% 28.74/19.25 inference(unit_resolution,[status(thm)],[31702, 27156, 31696, 31667])).
% 28.74/19.25 tff(31704,plain,
% 28.74/19.25 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB177) | (~v187(constB177)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB177) | (~v187(constB177)))),
% 28.74/19.25 inference(rewrite,[status(thm)],[])).
% 28.74/19.25 tff(31705,plain,
% 28.74/19.25 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB177) | (~v187(constB177)))),
% 28.74/19.25 inference(quant_inst,[status(thm)],[])).
% 28.74/19.25 tff(31706,plain,
% 28.74/19.25 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB177) | (~v187(constB177))),
% 28.74/19.25 inference(modus_ponens,[status(thm)],[31705, 31704])).
% 28.74/19.25 tff(31707,plain,
% 28.74/19.25 (~v187(constB177)),
% 28.74/19.25 inference(unit_resolution,[status(thm)],[31706, 27174, 31703])).
% 28.74/19.25 tff(31708,plain,
% 28.74/19.25 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB177) | (~v185(constB177)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB177) | (~v185(constB177)))),
% 28.74/19.25 inference(rewrite,[status(thm)],[])).
% 28.74/19.25 tff(31709,plain,
% 28.74/19.25 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB177) | (~v185(constB177)))),
% 28.74/19.25 inference(quant_inst,[status(thm)],[])).
% 28.74/19.25 tff(31710,plain,
% 28.74/19.25 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB177) | (~v185(constB177))),
% 28.74/19.25 inference(modus_ponens,[status(thm)],[31709, 31708])).
% 28.74/19.25 tff(31711,plain,
% 28.74/19.25 (~v185(constB177)),
% 28.74/19.25 inference(unit_resolution,[status(thm)],[31710, 27188, 31707])).
% 28.74/19.25 tff(31712,assumption,(v18(constB178)), introduced(assumption)).
% 28.74/19.25 tff(31713,plain,
% 28.74/19.25 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB178))),
% 28.74/19.25 inference(quant_inst,[status(thm)],[])).
% 28.74/19.25 tff(31714,plain,
% 28.74/19.25 ($false),
% 28.74/19.25 inference(unit_resolution,[status(thm)],[31713, 27200, 31712])).
% 28.74/19.25 tff(31715,plain,(~v18(constB178)), inference(lemma,lemma(discharge,[]))).
% 28.74/19.25 tff(31716,plain,
% 28.74/19.25 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB178) | (~v1(constB178)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB178) | (~v1(constB178)))),
% 28.74/19.25 inference(rewrite,[status(thm)],[])).
% 28.74/19.25 tff(31717,plain,
% 28.74/19.25 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB178) | (~v1(constB178)))),
% 28.74/19.25 inference(quant_inst,[status(thm)],[])).
% 28.74/19.25 tff(31718,plain,
% 28.74/19.25 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB178) | (~v1(constB178))),
% 28.74/19.25 inference(modus_ponens,[status(thm)],[31717, 31716])).
% 28.74/19.25 tff(31719,plain,
% 28.74/19.25 (v22(constB178)),
% 28.74/19.25 inference(unit_resolution,[status(thm)],[31718, 27216, 24683])).
% 28.74/19.25 tff(31720,plain,
% 28.74/19.25 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB178) | (~v22(constB178)) | (~v19(constB178)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB178) | (~v22(constB178)) | (~v19(constB178)))),
% 28.74/19.25 inference(rewrite,[status(thm)],[])).
% 28.74/19.25 tff(31721,plain,
% 28.74/19.25 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB178) | (~v22(constB178)) | (~v19(constB178)))),
% 28.74/19.25 inference(quant_inst,[status(thm)],[])).
% 28.74/19.25 tff(31722,plain,
% 28.74/19.25 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB178) | (~v22(constB178)) | (~v19(constB178))),
% 28.74/19.25 inference(modus_ponens,[status(thm)],[31721, 31720])).
% 28.74/19.25 tff(31723,plain,
% 28.74/19.25 (v18(constB178) | (~v19(constB178))),
% 28.74/19.25 inference(unit_resolution,[status(thm)],[31722, 27230, 31719])).
% 28.74/19.25 tff(31724,plain,
% 28.74/19.25 (~v19(constB178)),
% 28.74/19.25 inference(unit_resolution,[status(thm)],[31723, 31715])).
% 28.74/19.25 tff(31725,plain,
% 28.74/19.25 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB178) | v19(constB178))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB178) | v19(constB178))),
% 28.74/19.25 inference(rewrite,[status(thm)],[])).
% 28.74/19.25 tff(31726,plain,
% 28.74/19.25 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB178) | v19(constB178))),
% 28.74/19.25 inference(quant_inst,[status(thm)],[])).
% 28.74/19.25 tff(31727,plain,
% 28.74/19.25 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB178) | v19(constB178)),
% 28.74/19.25 inference(modus_ponens,[status(thm)],[31726, 31725])).
% 28.74/19.25 tff(31728,plain,
% 28.74/19.25 (v13(constB178)),
% 28.74/19.25 inference(unit_resolution,[status(thm)],[31727, 27242, 31724])).
% 28.74/19.25 tff(31729,plain,
% 28.74/19.25 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB177) | (~v13(constB178)) | (~nextState(constB177, constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB177) | (~v13(constB178)) | (~nextState(constB177, constB178)))),
% 28.74/19.25 inference(rewrite,[status(thm)],[])).
% 28.74/19.25 tff(31730,plain,
% 28.74/19.25 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB177) | (~v13(constB178)) | (~nextState(constB177, constB178)))),
% 28.74/19.25 inference(quant_inst,[status(thm)],[])).
% 28.74/19.25 tff(31731,plain,
% 28.74/19.25 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB177) | (~v13(constB178)) | (~nextState(constB177, constB178))),
% 28.74/19.25 inference(modus_ponens,[status(thm)],[31730, 31729])).
% 28.74/19.25 tff(31732,plain,
% 28.74/19.25 (v9(constB177) | (~v13(constB178))),
% 28.74/19.25 inference(unit_resolution,[status(thm)],[31731, 27259, 24663])).
% 28.74/19.25 tff(31733,plain,
% 28.74/19.25 (v9(constB177)),
% 28.74/19.25 inference(unit_resolution,[status(thm)],[31732, 31728])).
% 28.74/19.25 tff(31734,plain,
% 28.74/19.25 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB177) | (~v9(constB177)) | v184(constB177))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB177) | (~v9(constB177)) | v184(constB177))),
% 28.74/19.25 inference(rewrite,[status(thm)],[])).
% 28.74/19.25 tff(31735,plain,
% 28.74/19.25 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB177) | (~v9(constB177)) | v184(constB177))),
% 28.74/19.25 inference(quant_inst,[status(thm)],[])).
% 28.74/19.25 tff(31736,plain,
% 28.74/19.25 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB177) | (~v9(constB177)) | v184(constB177)),
% 28.74/19.25 inference(modus_ponens,[status(thm)],[31735, 31734])).
% 28.74/19.25 tff(31737,plain,
% 28.74/19.25 ((~v9(constB177)) | v184(constB177)),
% 28.74/19.25 inference(unit_resolution,[status(thm)],[31736, 27274, 24524])).
% 28.74/19.25 tff(31738,plain,
% 28.74/19.25 (v184(constB177)),
% 28.74/19.25 inference(unit_resolution,[status(thm)],[31737, 31733])).
% 28.74/19.25 tff(31739,plain,
% 28.74/19.25 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB177) | (~v184(constB177)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB177) | (~v184(constB177)))),
% 28.74/19.25 inference(rewrite,[status(thm)],[])).
% 28.74/19.25 tff(31740,plain,
% 28.74/19.25 (((~v184(constB177)) | v183(constB177)) <=> (v183(constB177) | (~v184(constB177)))),
% 28.74/19.25 inference(rewrite,[status(thm)],[])).
% 28.74/19.25 tff(31741,plain,
% 28.74/19.25 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB177)) | v183(constB177))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB177) | (~v184(constB177))))),
% 28.74/19.25 inference(monotonicity,[status(thm)],[31740])).
% 28.74/19.25 tff(31742,plain,
% 28.74/19.25 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB177)) | v183(constB177))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB177) | (~v184(constB177)))),
% 28.74/19.25 inference(transitivity,[status(thm)],[31741, 31739])).
% 28.74/19.25 tff(31743,plain,
% 28.74/19.25 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB177)) | v183(constB177))),
% 28.74/19.25 inference(quant_inst,[status(thm)],[])).
% 28.74/19.25 tff(31744,plain,
% 28.74/19.25 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB177) | (~v184(constB177))),
% 28.74/19.25 inference(modus_ponens,[status(thm)],[31743, 31742])).
% 28.74/19.25 tff(31745,plain,
% 28.74/19.25 (v183(constB177)),
% 28.74/19.25 inference(unit_resolution,[status(thm)],[31744, 27286, 31738])).
% 28.74/19.25 tff(31746,plain,
% 28.74/19.25 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB177)) | (~v183(constB177)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB177)) | (~v183(constB177)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31747,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB177)) | (~v183(constB177)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31748,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB177)) | (~v183(constB177))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31747, 31746])).
% 28.74/19.26 tff(31749,plain,
% 28.74/19.26 (~v181(constB177)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31748, 27300, 31745])).
% 28.74/19.26 tff(31750,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB177) | v185(constB177) | (~v178(constB177)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB177) | v185(constB177) | (~v178(constB177)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31751,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB177) | v185(constB177) | (~v178(constB177)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31752,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB177) | v185(constB177) | (~v178(constB177))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31751, 31750])).
% 28.74/19.26 tff(31753,plain,
% 28.74/19.26 (v185(constB177) | (~v178(constB177))),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31752, 27314, 31749])).
% 28.74/19.26 tff(31754,plain,
% 28.74/19.26 (~v178(constB177)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31753, 31711])).
% 28.74/19.26 tff(31755,plain,
% 28.74/19.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB177, constB178)) | v178(constB177) | (~v180(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB177, constB178)) | v178(constB177) | (~v180(constB178)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31756,plain,
% 28.74/19.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB177, constB178)) | v178(constB177) | (~v180(constB178)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31757,plain,
% 28.74/19.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB177, constB178)) | v178(constB177) | (~v180(constB178))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31756, 31755])).
% 28.74/19.26 tff(31758,plain,
% 28.74/19.26 (v178(constB177) | (~v180(constB178))),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31757, 27329, 24663])).
% 28.74/19.26 tff(31759,plain,
% 28.74/19.26 (~v180(constB178)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31758, 31754])).
% 28.74/19.26 tff(31760,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB178) | (~v181(constB178)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB178) | (~v181(constB178)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31761,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB178) | (~v181(constB178)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31762,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB178) | (~v181(constB178))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31761, 31760])).
% 28.74/19.26 tff(31763,plain,
% 28.74/19.26 (~v181(constB178)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31762, 27344, 31759])).
% 28.74/19.26 tff(31764,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB178)) | (~v184(constB178)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB178)) | (~v184(constB178)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31765,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB178)) | (~v184(constB178)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31766,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB178)) | (~v184(constB178))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31765, 31764])).
% 28.74/19.26 tff(31767,plain,
% 28.74/19.26 (~v184(constB178)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31766, 59, 24683])).
% 28.74/19.26 tff(31768,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB178) | (~v187(constB178)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB178) | (~v187(constB178)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31769,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB178) | (~v187(constB178)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31770,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB178) | (~v187(constB178))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31769, 31768])).
% 28.74/19.26 tff(31771,plain,
% 28.74/19.26 (~v187(constB178)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31770, 27362, 31767])).
% 28.74/19.26 tff(31772,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB178) | (~v185(constB178)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB178) | (~v185(constB178)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31773,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB178) | (~v185(constB178)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31774,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB178) | (~v185(constB178))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31773, 31772])).
% 28.74/19.26 tff(31775,plain,
% 28.74/19.26 (~v185(constB178)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31774, 27188, 31771])).
% 28.74/19.26 tff(31776,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB178) | v185(constB178) | (~v178(constB178)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB178) | v185(constB178) | (~v178(constB178)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31777,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB178) | v185(constB178) | (~v178(constB178)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31778,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB178) | v185(constB178) | (~v178(constB178))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31777, 31776])).
% 28.74/19.26 tff(31779,plain,
% 28.74/19.26 (v181(constB178) | (~v178(constB178))),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31778, 27314, 31775])).
% 28.74/19.26 tff(31780,plain,
% 28.74/19.26 (~v178(constB178)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31779, 31763])).
% 28.74/19.26 tff(31781,plain,
% 28.74/19.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB178, constB179)) | v178(constB178) | (~v180(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB178, constB179)) | v178(constB178) | (~v180(constB179)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31782,plain,
% 28.74/19.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB178, constB179)) | v178(constB178) | (~v180(constB179)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31783,plain,
% 28.74/19.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB178, constB179)) | v178(constB178) | (~v180(constB179))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31782, 31781])).
% 28.74/19.26 tff(31784,plain,
% 28.74/19.26 (v178(constB178) | (~v180(constB179))),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31783, 27329, 24725])).
% 28.74/19.26 tff(31785,plain,
% 28.74/19.26 (~v180(constB179)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31784, 31780])).
% 28.74/19.26 tff(31786,plain,
% 28.74/19.26 ($false),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31785, 31651])).
% 28.74/19.26 tff(31787,plain,(~(constB179 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.74/19.26 tff(31788,assumption,(constB116 = sK_VarCurr), introduced(assumption)).
% 28.74/19.26 tff(31789,plain,
% 28.74/19.26 (v1(constB116) <=> v1(sK_VarCurr)),
% 28.74/19.26 inference(monotonicity,[status(thm)],[31788])).
% 28.74/19.26 tff(31790,plain,
% 28.74/19.26 (v1(sK_VarCurr) <=> v1(constB116)),
% 28.74/19.26 inference(symmetry,[status(thm)],[31789])).
% 28.74/19.26 tff(31791,plain,
% 28.74/19.26 ((~v1(sK_VarCurr)) <=> (~v1(constB116))),
% 28.74/19.26 inference(monotonicity,[status(thm)],[31790])).
% 28.74/19.26 tff(31792,plain,
% 28.74/19.26 (~v1(constB116)),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[63, 31791])).
% 28.74/19.26 tff(31793,plain,
% 28.74/19.26 ($false),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[15630, 31792])).
% 28.74/19.26 tff(31794,plain,(~(constB116 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.74/19.26 tff(31795,assumption,(constB46 = sK_VarCurr), introduced(assumption)).
% 28.74/19.26 tff(31796,plain,
% 28.74/19.26 (v1(constB46) <=> v1(sK_VarCurr)),
% 28.74/19.26 inference(monotonicity,[status(thm)],[31795])).
% 28.74/19.26 tff(31797,plain,
% 28.74/19.26 (v1(sK_VarCurr) <=> v1(constB46)),
% 28.74/19.26 inference(symmetry,[status(thm)],[31796])).
% 28.74/19.26 tff(31798,plain,
% 28.74/19.26 ((~v1(sK_VarCurr)) <=> (~v1(constB46))),
% 28.74/19.26 inference(monotonicity,[status(thm)],[31797])).
% 28.74/19.26 tff(31799,plain,
% 28.74/19.26 (~v1(constB46)),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[63, 31798])).
% 28.74/19.26 tff(31800,plain,
% 28.74/19.26 ($false),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[6987, 31799])).
% 28.74/19.26 tff(31801,plain,(~(constB46 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.74/19.26 tff(31802,assumption,(constB187 = sK_VarCurr), introduced(assumption)).
% 28.74/19.26 tff(31803,plain,
% 28.74/19.26 (v180(constB187) <=> v180(sK_VarCurr)),
% 28.74/19.26 inference(monotonicity,[status(thm)],[31802])).
% 28.74/19.26 tff(31804,plain,
% 28.74/19.26 (v180(sK_VarCurr) <=> v180(constB187)),
% 28.74/19.26 inference(symmetry,[status(thm)],[31803])).
% 28.74/19.26 tff(31805,plain,
% 28.74/19.26 (v180(constB187)),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[86, 31804])).
% 28.74/19.26 tff(31806,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB185)) | (~v88(constB185, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB185)) | (~v88(constB185, 1)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31807,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB185)) | (~v88(constB185, 1)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31808,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB185)) | (~v88(constB185, 1))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31807, 31806])).
% 28.74/19.26 tff(31809,plain,
% 28.74/19.26 (~v139(constB185)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31808, 27117, 29507])).
% 28.74/19.26 tff(31810,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB185)) | (~v88(constB185, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB185)) | (~v88(constB185, 1)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31811,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB185)) | (~v88(constB185, 1)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31812,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB185)) | (~v88(constB185, 1))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31811, 31810])).
% 28.74/19.26 tff(31813,plain,
% 28.74/19.26 (~v140(constB185)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31812, 27128, 29507])).
% 28.74/19.26 tff(31814,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB185) | v140(constB185) | (~v168(constB185)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB185) | v140(constB185) | (~v168(constB185)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31815,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB185) | v140(constB185) | (~v168(constB185)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31816,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB185) | v140(constB185) | (~v168(constB185))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31815, 31814])).
% 28.74/19.26 tff(31817,plain,
% 28.74/19.26 (~v168(constB185)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31816, 27142, 31813, 31809])).
% 28.74/19.26 tff(31818,plain,
% 28.74/19.26 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB185)) | v168(constB185) | (~v164(constB185)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB185)) | v168(constB185) | (~v164(constB185)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31819,plain,
% 28.74/19.26 (((~v164(constB185)) | v168(constB185) | (~v161(constB185))) <=> ((~v161(constB185)) | v168(constB185) | (~v164(constB185)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31820,plain,
% 28.74/19.26 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB185)) | v168(constB185) | (~v161(constB185)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB185)) | v168(constB185) | (~v164(constB185))))),
% 28.74/19.26 inference(monotonicity,[status(thm)],[31819])).
% 28.74/19.26 tff(31821,plain,
% 28.74/19.26 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB185)) | v168(constB185) | (~v161(constB185)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB185)) | v168(constB185) | (~v164(constB185)))),
% 28.74/19.26 inference(transitivity,[status(thm)],[31820, 31818])).
% 28.74/19.26 tff(31822,plain,
% 28.74/19.26 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB185)) | v168(constB185) | (~v161(constB185)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31823,plain,
% 28.74/19.26 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB185)) | v168(constB185) | (~v164(constB185))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31822, 31821])).
% 28.74/19.26 tff(31824,plain,
% 28.74/19.26 ((~v161(constB185)) | (~v164(constB185))),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31823, 27156, 31817])).
% 28.74/19.26 tff(31825,plain,
% 28.74/19.26 (~v161(constB185)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31824, 29540])).
% 28.74/19.26 tff(31826,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB185) | (~v187(constB185)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB185) | (~v187(constB185)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31827,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB185) | (~v187(constB185)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31828,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB185) | (~v187(constB185))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31827, 31826])).
% 28.74/19.26 tff(31829,plain,
% 28.74/19.26 (~v187(constB185)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31828, 27174, 31825])).
% 28.74/19.26 tff(31830,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB185) | (~v185(constB185)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB185) | (~v185(constB185)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31831,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB185) | (~v185(constB185)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31832,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB185) | (~v185(constB185))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31831, 31830])).
% 28.74/19.26 tff(31833,plain,
% 28.74/19.26 (~v185(constB185)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31832, 27188, 31829])).
% 28.74/19.26 tff(31834,assumption,(v18(constB186)), introduced(assumption)).
% 28.74/19.26 tff(31835,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB186))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31836,plain,
% 28.74/19.26 ($false),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31835, 27200, 31834])).
% 28.74/19.26 tff(31837,plain,(~v18(constB186)), inference(lemma,lemma(discharge,[]))).
% 28.74/19.26 tff(31838,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB186) | (~v1(constB186)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB186) | (~v1(constB186)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31839,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB186) | (~v1(constB186)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31840,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB186) | (~v1(constB186))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31839, 31838])).
% 28.74/19.26 tff(31841,plain,
% 28.74/19.26 (v22(constB186)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31840, 27216, 25830])).
% 28.74/19.26 tff(31842,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB186) | (~v22(constB186)) | (~v19(constB186)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB186) | (~v22(constB186)) | (~v19(constB186)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31843,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB186) | (~v22(constB186)) | (~v19(constB186)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31844,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB186) | (~v22(constB186)) | (~v19(constB186))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31843, 31842])).
% 28.74/19.26 tff(31845,plain,
% 28.74/19.26 (v18(constB186) | (~v19(constB186))),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31844, 27230, 31841])).
% 28.74/19.26 tff(31846,plain,
% 28.74/19.26 (~v19(constB186)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31845, 31837])).
% 28.74/19.26 tff(31847,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB186) | v19(constB186))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB186) | v19(constB186))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31848,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB186) | v19(constB186))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31849,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB186) | v19(constB186)),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31848, 31847])).
% 28.74/19.26 tff(31850,plain,
% 28.74/19.26 (v13(constB186)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31849, 27242, 31846])).
% 28.74/19.26 tff(31851,plain,
% 28.74/19.26 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB185) | (~v13(constB186)) | (~nextState(constB185, constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB185) | (~v13(constB186)) | (~nextState(constB185, constB186)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31852,plain,
% 28.74/19.26 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB185) | (~v13(constB186)) | (~nextState(constB185, constB186)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31853,plain,
% 28.74/19.26 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB185) | (~v13(constB186)) | (~nextState(constB185, constB186))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31852, 31851])).
% 28.74/19.26 tff(31854,plain,
% 28.74/19.26 (v9(constB185) | (~v13(constB186))),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31853, 27259, 25810])).
% 28.74/19.26 tff(31855,plain,
% 28.74/19.26 (v9(constB185)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31854, 31850])).
% 28.74/19.26 tff(31856,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB185) | (~v9(constB185)) | v184(constB185))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB185) | (~v9(constB185)) | v184(constB185))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31857,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB185) | (~v9(constB185)) | v184(constB185))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31858,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB185) | (~v9(constB185)) | v184(constB185)),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31857, 31856])).
% 28.74/19.26 tff(31859,plain,
% 28.74/19.26 ((~v9(constB185)) | v184(constB185)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31858, 27274, 25680])).
% 28.74/19.26 tff(31860,plain,
% 28.74/19.26 (v184(constB185)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31859, 31855])).
% 28.74/19.26 tff(31861,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB185) | (~v184(constB185)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB185) | (~v184(constB185)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31862,plain,
% 28.74/19.26 (((~v184(constB185)) | v183(constB185)) <=> (v183(constB185) | (~v184(constB185)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31863,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB185)) | v183(constB185))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB185) | (~v184(constB185))))),
% 28.74/19.26 inference(monotonicity,[status(thm)],[31862])).
% 28.74/19.26 tff(31864,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB185)) | v183(constB185))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB185) | (~v184(constB185)))),
% 28.74/19.26 inference(transitivity,[status(thm)],[31863, 31861])).
% 28.74/19.26 tff(31865,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB185)) | v183(constB185))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31866,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB185) | (~v184(constB185))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31865, 31864])).
% 28.74/19.26 tff(31867,plain,
% 28.74/19.26 (v183(constB185)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31866, 27286, 31860])).
% 28.74/19.26 tff(31868,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB185)) | (~v183(constB185)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB185)) | (~v183(constB185)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31869,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB185)) | (~v183(constB185)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31870,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB185)) | (~v183(constB185))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31869, 31868])).
% 28.74/19.26 tff(31871,plain,
% 28.74/19.26 (~v181(constB185)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31870, 27300, 31867])).
% 28.74/19.26 tff(31872,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB185) | v185(constB185) | (~v178(constB185)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB185) | v185(constB185) | (~v178(constB185)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31873,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB185) | v185(constB185) | (~v178(constB185)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31874,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB185) | v185(constB185) | (~v178(constB185))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31873, 31872])).
% 28.74/19.26 tff(31875,plain,
% 28.74/19.26 (v185(constB185) | (~v178(constB185))),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31874, 27314, 31871])).
% 28.74/19.26 tff(31876,plain,
% 28.74/19.26 (~v178(constB185)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31875, 31833])).
% 28.74/19.26 tff(31877,plain,
% 28.74/19.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB185, constB186)) | v178(constB185) | (~v180(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB185, constB186)) | v178(constB185) | (~v180(constB186)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31878,plain,
% 28.74/19.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB185, constB186)) | v178(constB185) | (~v180(constB186)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31879,plain,
% 28.74/19.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB185, constB186)) | v178(constB185) | (~v180(constB186))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31878, 31877])).
% 28.74/19.26 tff(31880,plain,
% 28.74/19.26 (v178(constB185) | (~v180(constB186))),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31879, 27329, 25810])).
% 28.74/19.26 tff(31881,plain,
% 28.74/19.26 (~v180(constB186)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31880, 31876])).
% 28.74/19.26 tff(31882,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB186) | (~v181(constB186)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB186) | (~v181(constB186)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31883,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB186) | (~v181(constB186)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31884,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB186) | (~v181(constB186))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31883, 31882])).
% 28.74/19.26 tff(31885,plain,
% 28.74/19.26 (~v181(constB186)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31884, 27344, 31881])).
% 28.74/19.26 tff(31886,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB186)) | (~v184(constB186)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB186)) | (~v184(constB186)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31887,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB186)) | (~v184(constB186)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31888,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB186)) | (~v184(constB186))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31887, 31886])).
% 28.74/19.26 tff(31889,plain,
% 28.74/19.26 (~v184(constB186)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31888, 59, 25830])).
% 28.74/19.26 tff(31890,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB186) | (~v187(constB186)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB186) | (~v187(constB186)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31891,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB186) | (~v187(constB186)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31892,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB186) | (~v187(constB186))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31891, 31890])).
% 28.74/19.26 tff(31893,plain,
% 28.74/19.26 (~v187(constB186)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31892, 27362, 31889])).
% 28.74/19.26 tff(31894,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB186) | (~v185(constB186)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB186) | (~v185(constB186)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31895,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB186) | (~v185(constB186)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31896,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB186) | (~v185(constB186))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31895, 31894])).
% 28.74/19.26 tff(31897,plain,
% 28.74/19.26 (~v185(constB186)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31896, 27188, 31893])).
% 28.74/19.26 tff(31898,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB186) | v185(constB186) | (~v178(constB186)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB186) | v185(constB186) | (~v178(constB186)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31899,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB186) | v185(constB186) | (~v178(constB186)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31900,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB186) | v185(constB186) | (~v178(constB186))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31899, 31898])).
% 28.74/19.26 tff(31901,plain,
% 28.74/19.26 (v181(constB186) | (~v178(constB186))),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31900, 27314, 31897])).
% 28.74/19.26 tff(31902,plain,
% 28.74/19.26 (~v178(constB186)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31901, 31885])).
% 28.74/19.26 tff(31903,plain,
% 28.74/19.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB186, constB187)) | v178(constB186) | (~v180(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB186, constB187)) | v178(constB186) | (~v180(constB187)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31904,plain,
% 28.74/19.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB186, constB187)) | v178(constB186) | (~v180(constB187)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31905,plain,
% 28.74/19.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB186, constB187)) | v178(constB186) | (~v180(constB187))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31904, 31903])).
% 28.74/19.26 tff(31906,plain,
% 28.74/19.26 (v178(constB186) | (~v180(constB187))),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31905, 27329, 25872])).
% 28.74/19.26 tff(31907,plain,
% 28.74/19.26 (~v180(constB187)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31906, 31902])).
% 28.74/19.26 tff(31908,plain,
% 28.74/19.26 ($false),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31907, 31805])).
% 28.74/19.26 tff(31909,plain,(~(constB187 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.74/19.26 tff(31910,assumption,(constB26 = sK_VarCurr), introduced(assumption)).
% 28.74/19.26 tff(31911,plain,
% 28.74/19.26 (v1(constB26) <=> v1(sK_VarCurr)),
% 28.74/19.26 inference(monotonicity,[status(thm)],[31910])).
% 28.74/19.26 tff(31912,plain,
% 28.74/19.26 (v1(sK_VarCurr) <=> v1(constB26)),
% 28.74/19.26 inference(symmetry,[status(thm)],[31911])).
% 28.74/19.26 tff(31913,plain,
% 28.74/19.26 ((~v1(sK_VarCurr)) <=> (~v1(constB26))),
% 28.74/19.26 inference(monotonicity,[status(thm)],[31912])).
% 28.74/19.26 tff(31914,plain,
% 28.74/19.26 (~v1(constB26)),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[63, 31913])).
% 28.74/19.26 tff(31915,plain,
% 28.74/19.26 ($false),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[3455, 31914])).
% 28.74/19.26 tff(31916,plain,(~(constB26 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.74/19.26 tff(31917,assumption,(constB195 = sK_VarCurr), introduced(assumption)).
% 28.74/19.26 tff(31918,plain,
% 28.74/19.26 (v180(constB195) <=> v180(sK_VarCurr)),
% 28.74/19.26 inference(monotonicity,[status(thm)],[31917])).
% 28.74/19.26 tff(31919,plain,
% 28.74/19.26 (v180(sK_VarCurr) <=> v180(constB195)),
% 28.74/19.26 inference(symmetry,[status(thm)],[31918])).
% 28.74/19.26 tff(31920,plain,
% 28.74/19.26 (v180(constB195)),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[86, 31919])).
% 28.74/19.26 tff(31921,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB193, 0)) | v90(constB193, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB193, 0)) | v90(constB193, 0))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31922,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB193, 0)) | v90(constB193, 0))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31923,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB193, 0)) | v90(constB193, 0)),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31922, 31921])).
% 28.74/19.26 tff(31924,plain,
% 28.74/19.26 (~v88(constB193, 0)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31923, 26990, 26581])).
% 28.74/19.26 tff(31925,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB193, 2)) | v88(constB193, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB193, 2)) | v88(constB193, 2))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31926,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB193, 2)) | v88(constB193, 2))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31927,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB193, 2)) | v88(constB193, 2)),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31926, 31925])).
% 28.74/19.26 tff(31928,plain,
% 28.74/19.26 (v88(constB193, 2)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31927, 27680, 26516])).
% 28.74/19.26 tff(31929,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB193, 1)) | v88(constB193, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB193, 1)) | v88(constB193, 1))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31930,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB193, 1)) | v88(constB193, 1))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31931,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB193, 1)) | v88(constB193, 1)),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31930, 31929])).
% 28.74/19.26 tff(31932,plain,
% 28.74/19.26 (v88(constB193, 1)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31931, 26945, 26547])).
% 28.74/19.26 tff(31933,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB193, 0) | (~v88(constB193, 2)) | (~v88(constB193, 1)) | v144(constB193))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB193, 0) | (~v88(constB193, 2)) | (~v88(constB193, 1)) | v144(constB193))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31934,plain,
% 28.74/19.26 (((~v88(constB193, 2)) | (~v88(constB193, 1)) | v88(constB193, 0) | v144(constB193)) <=> (v88(constB193, 0) | (~v88(constB193, 2)) | (~v88(constB193, 1)) | v144(constB193))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31935,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB193, 2)) | (~v88(constB193, 1)) | v88(constB193, 0) | v144(constB193))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB193, 0) | (~v88(constB193, 2)) | (~v88(constB193, 1)) | v144(constB193)))),
% 28.74/19.26 inference(monotonicity,[status(thm)],[31934])).
% 28.74/19.26 tff(31936,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB193, 2)) | (~v88(constB193, 1)) | v88(constB193, 0) | v144(constB193))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB193, 0) | (~v88(constB193, 2)) | (~v88(constB193, 1)) | v144(constB193))),
% 28.74/19.26 inference(transitivity,[status(thm)],[31935, 31933])).
% 28.74/19.26 tff(31937,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB193, 2)) | (~v88(constB193, 1)) | v88(constB193, 0) | v144(constB193))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31938,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB193, 0) | (~v88(constB193, 2)) | (~v88(constB193, 1)) | v144(constB193)),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31937, 31936])).
% 28.74/19.26 tff(31939,plain,
% 28.74/19.26 (v144(constB193)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31938, 28458, 31932, 31928, 31924])).
% 28.74/19.26 tff(31940,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB193)) | v142(constB193))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB193)) | v142(constB193))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31941,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB193)) | v142(constB193))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31942,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB193)) | v142(constB193)),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31941, 31940])).
% 28.74/19.26 tff(31943,plain,
% 28.74/19.26 (v142(constB193)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31942, 28472, 31939])).
% 28.74/19.26 tff(31944,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB193)) | v165(constB193))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB193)) | v165(constB193))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31945,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB193)) | v165(constB193))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31946,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB193)) | v165(constB193)),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31945, 31944])).
% 28.74/19.26 tff(31947,plain,
% 28.74/19.26 (v165(constB193)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31946, 27075, 31943])).
% 28.74/19.26 tff(31948,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB193) | (~v165(constB193)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB193) | (~v165(constB193)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31949,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB193) | (~v165(constB193)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31950,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB193) | (~v165(constB193))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31949, 31948])).
% 28.74/19.26 tff(31951,plain,
% 28.74/19.26 (v164(constB193)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31950, 27089, 31947])).
% 28.74/19.26 tff(31952,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB193)) | (~v88(constB193, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB193)) | (~v88(constB193, 1)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31953,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB193)) | (~v88(constB193, 1)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31954,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB193)) | (~v88(constB193, 1))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31953, 31952])).
% 28.74/19.26 tff(31955,plain,
% 28.74/19.26 (~v139(constB193)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31954, 27117, 31932])).
% 28.74/19.26 tff(31956,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB193)) | (~v88(constB193, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB193)) | (~v88(constB193, 1)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31957,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB193)) | (~v88(constB193, 1)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31958,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB193)) | (~v88(constB193, 1))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31957, 31956])).
% 28.74/19.26 tff(31959,plain,
% 28.74/19.26 (~v140(constB193)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31958, 27128, 31932])).
% 28.74/19.26 tff(31960,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB193) | v140(constB193) | (~v168(constB193)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB193) | v140(constB193) | (~v168(constB193)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31961,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB193) | v140(constB193) | (~v168(constB193)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31962,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB193) | v140(constB193) | (~v168(constB193))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31961, 31960])).
% 28.74/19.26 tff(31963,plain,
% 28.74/19.26 (~v168(constB193)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31962, 27142, 31959, 31955])).
% 28.74/19.26 tff(31964,plain,
% 28.74/19.26 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB193)) | (~v164(constB193)) | v168(constB193))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB193)) | (~v164(constB193)) | v168(constB193))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31965,plain,
% 28.74/19.26 (((~v164(constB193)) | v168(constB193) | (~v161(constB193))) <=> ((~v161(constB193)) | (~v164(constB193)) | v168(constB193))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31966,plain,
% 28.74/19.26 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB193)) | v168(constB193) | (~v161(constB193)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB193)) | (~v164(constB193)) | v168(constB193)))),
% 28.74/19.26 inference(monotonicity,[status(thm)],[31965])).
% 28.74/19.26 tff(31967,plain,
% 28.74/19.26 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB193)) | v168(constB193) | (~v161(constB193)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB193)) | (~v164(constB193)) | v168(constB193))),
% 28.74/19.26 inference(transitivity,[status(thm)],[31966, 31964])).
% 28.74/19.26 tff(31968,plain,
% 28.74/19.26 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB193)) | v168(constB193) | (~v161(constB193)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31969,plain,
% 28.74/19.26 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB193)) | (~v164(constB193)) | v168(constB193)),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31968, 31967])).
% 28.74/19.26 tff(31970,plain,
% 28.74/19.26 ((~v161(constB193)) | (~v164(constB193))),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31969, 27156, 31963])).
% 28.74/19.26 tff(31971,plain,
% 28.74/19.26 (~v161(constB193)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31970, 31951])).
% 28.74/19.26 tff(31972,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB193) | (~v187(constB193)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB193) | (~v187(constB193)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31973,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB193) | (~v187(constB193)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31974,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB193) | (~v187(constB193))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31973, 31972])).
% 28.74/19.26 tff(31975,plain,
% 28.74/19.26 (~v187(constB193)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31974, 27174, 31971])).
% 28.74/19.26 tff(31976,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB193) | (~v185(constB193)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB193) | (~v185(constB193)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31977,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB193) | (~v185(constB193)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31978,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB193) | (~v185(constB193))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31977, 31976])).
% 28.74/19.26 tff(31979,plain,
% 28.74/19.26 (~v185(constB193)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31978, 27188, 31975])).
% 28.74/19.26 tff(31980,assumption,(v18(constB194)), introduced(assumption)).
% 28.74/19.26 tff(31981,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB194))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31982,plain,
% 28.74/19.26 ($false),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31981, 27200, 31980])).
% 28.74/19.26 tff(31983,plain,(~v18(constB194)), inference(lemma,lemma(discharge,[]))).
% 28.74/19.26 tff(31984,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB194) | (~v1(constB194)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB194) | (~v1(constB194)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31985,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB194) | (~v1(constB194)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31986,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB194) | (~v1(constB194))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31985, 31984])).
% 28.74/19.26 tff(31987,plain,
% 28.74/19.26 (v22(constB194)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31986, 27216, 26634])).
% 28.74/19.26 tff(31988,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB194) | (~v22(constB194)) | (~v19(constB194)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB194) | (~v22(constB194)) | (~v19(constB194)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31989,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB194) | (~v22(constB194)) | (~v19(constB194)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31990,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB194) | (~v22(constB194)) | (~v19(constB194))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31989, 31988])).
% 28.74/19.26 tff(31991,plain,
% 28.74/19.26 (v18(constB194) | (~v19(constB194))),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31990, 27230, 31987])).
% 28.74/19.26 tff(31992,plain,
% 28.74/19.26 (~v19(constB194)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31991, 31983])).
% 28.74/19.26 tff(31993,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB194) | v19(constB194))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB194) | v19(constB194))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31994,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB194) | v19(constB194))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31995,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB194) | v19(constB194)),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31994, 31993])).
% 28.74/19.26 tff(31996,plain,
% 28.74/19.26 (v13(constB194)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31995, 27242, 31992])).
% 28.74/19.26 tff(31997,plain,
% 28.74/19.26 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB193) | (~v13(constB194)) | (~nextState(constB193, constB194)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB193) | (~v13(constB194)) | (~nextState(constB193, constB194)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(31998,plain,
% 28.74/19.26 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB193) | (~v13(constB194)) | (~nextState(constB193, constB194)))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(31999,plain,
% 28.74/19.26 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB193) | (~v13(constB194)) | (~nextState(constB193, constB194))),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[31998, 31997])).
% 28.74/19.26 tff(32000,plain,
% 28.74/19.26 (v9(constB193) | (~v13(constB194))),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[31999, 27259, 26614])).
% 28.74/19.26 tff(32001,plain,
% 28.74/19.26 (v9(constB193)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[32000, 31996])).
% 28.74/19.26 tff(32002,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB193) | (~v9(constB193)) | v184(constB193))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB193) | (~v9(constB193)) | v184(constB193))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(32003,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB193) | (~v9(constB193)) | v184(constB193))),
% 28.74/19.26 inference(quant_inst,[status(thm)],[])).
% 28.74/19.26 tff(32004,plain,
% 28.74/19.26 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB193) | (~v9(constB193)) | v184(constB193)),
% 28.74/19.26 inference(modus_ponens,[status(thm)],[32003, 32002])).
% 28.74/19.26 tff(32005,plain,
% 28.74/19.26 ((~v9(constB193)) | v184(constB193)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[32004, 27274, 26492])).
% 28.74/19.26 tff(32006,plain,
% 28.74/19.26 (v184(constB193)),
% 28.74/19.26 inference(unit_resolution,[status(thm)],[32005, 32001])).
% 28.74/19.26 tff(32007,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB193) | (~v184(constB193)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB193) | (~v184(constB193)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(32008,plain,
% 28.74/19.26 (((~v184(constB193)) | v183(constB193)) <=> (v183(constB193) | (~v184(constB193)))),
% 28.74/19.26 inference(rewrite,[status(thm)],[])).
% 28.74/19.26 tff(32009,plain,
% 28.74/19.26 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB193)) | v183(constB193))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB193) | (~v184(constB193))))),
% 28.74/19.27 inference(monotonicity,[status(thm)],[32008])).
% 28.74/19.27 tff(32010,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB193)) | v183(constB193))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB193) | (~v184(constB193)))),
% 28.74/19.27 inference(transitivity,[status(thm)],[32009, 32007])).
% 28.74/19.27 tff(32011,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB193)) | v183(constB193))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32012,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB193) | (~v184(constB193))),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[32011, 32010])).
% 28.74/19.27 tff(32013,plain,
% 28.74/19.27 (v183(constB193)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32012, 27286, 32006])).
% 28.74/19.27 tff(32014,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB193)) | (~v183(constB193)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB193)) | (~v183(constB193)))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32015,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB193)) | (~v183(constB193)))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32016,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB193)) | (~v183(constB193))),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[32015, 32014])).
% 28.74/19.27 tff(32017,plain,
% 28.74/19.27 (~v181(constB193)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32016, 27300, 32013])).
% 28.74/19.27 tff(32018,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB193) | v185(constB193) | (~v178(constB193)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB193) | v185(constB193) | (~v178(constB193)))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32019,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB193) | v185(constB193) | (~v178(constB193)))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32020,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB193) | v185(constB193) | (~v178(constB193))),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[32019, 32018])).
% 28.74/19.27 tff(32021,plain,
% 28.74/19.27 (v185(constB193) | (~v178(constB193))),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32020, 27314, 32017])).
% 28.74/19.27 tff(32022,plain,
% 28.74/19.27 (~v178(constB193)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32021, 31979])).
% 28.74/19.27 tff(32023,plain,
% 28.74/19.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB193, constB194)) | v178(constB193) | (~v180(constB194)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB193, constB194)) | v178(constB193) | (~v180(constB194)))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32024,plain,
% 28.74/19.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB193, constB194)) | v178(constB193) | (~v180(constB194)))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32025,plain,
% 28.74/19.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB193, constB194)) | v178(constB193) | (~v180(constB194))),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[32024, 32023])).
% 28.74/19.27 tff(32026,plain,
% 28.74/19.27 (v178(constB193) | (~v180(constB194))),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32025, 27329, 26614])).
% 28.74/19.27 tff(32027,plain,
% 28.74/19.27 (~v180(constB194)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32026, 32022])).
% 28.74/19.27 tff(32028,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB194) | (~v181(constB194)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB194) | (~v181(constB194)))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32029,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB194) | (~v181(constB194)))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32030,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB194) | (~v181(constB194))),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[32029, 32028])).
% 28.74/19.27 tff(32031,plain,
% 28.74/19.27 (~v181(constB194)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32030, 27344, 32027])).
% 28.74/19.27 tff(32032,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB194)) | (~v184(constB194)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB194)) | (~v184(constB194)))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32033,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB194)) | (~v184(constB194)))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32034,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB194)) | (~v184(constB194))),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[32033, 32032])).
% 28.74/19.27 tff(32035,plain,
% 28.74/19.27 (~v184(constB194)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32034, 59, 26634])).
% 28.74/19.27 tff(32036,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB194) | (~v187(constB194)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB194) | (~v187(constB194)))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32037,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB194) | (~v187(constB194)))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32038,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB194) | (~v187(constB194))),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[32037, 32036])).
% 28.74/19.27 tff(32039,plain,
% 28.74/19.27 (~v187(constB194)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32038, 27362, 32035])).
% 28.74/19.27 tff(32040,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB194) | (~v185(constB194)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB194) | (~v185(constB194)))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32041,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB194) | (~v185(constB194)))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32042,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB194) | (~v185(constB194))),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[32041, 32040])).
% 28.74/19.27 tff(32043,plain,
% 28.74/19.27 (~v185(constB194)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32042, 27188, 32039])).
% 28.74/19.27 tff(32044,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB194) | v185(constB194) | (~v178(constB194)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB194) | v185(constB194) | (~v178(constB194)))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32045,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB194) | v185(constB194) | (~v178(constB194)))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32046,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB194) | v185(constB194) | (~v178(constB194))),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[32045, 32044])).
% 28.74/19.27 tff(32047,plain,
% 28.74/19.27 (v181(constB194) | (~v178(constB194))),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32046, 27314, 32043])).
% 28.74/19.27 tff(32048,plain,
% 28.74/19.27 (~v178(constB194)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32047, 32031])).
% 28.74/19.27 tff(32049,plain,
% 28.74/19.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB194, constB195)) | v178(constB194) | (~v180(constB195)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB194, constB195)) | v178(constB194) | (~v180(constB195)))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32050,plain,
% 28.74/19.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB194, constB195)) | v178(constB194) | (~v180(constB195)))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32051,plain,
% 28.74/19.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB194, constB195)) | v178(constB194) | (~v180(constB195))),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[32050, 32049])).
% 28.74/19.27 tff(32052,plain,
% 28.74/19.27 (v178(constB194) | (~v180(constB195))),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32051, 27329, 26700])).
% 28.74/19.27 tff(32053,plain,
% 28.74/19.27 (~v180(constB195)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32052, 32048])).
% 28.74/19.27 tff(32054,plain,
% 28.74/19.27 ($false),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32053, 31920])).
% 28.74/19.27 tff(32055,plain,(~(constB195 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.74/19.27 tff(32056,assumption,(constB156 = sK_VarCurr), introduced(assumption)).
% 28.74/19.27 tff(32057,plain,
% 28.74/19.27 (v1(constB156) <=> v1(sK_VarCurr)),
% 28.74/19.27 inference(monotonicity,[status(thm)],[32056])).
% 28.74/19.27 tff(32058,plain,
% 28.74/19.27 (v1(sK_VarCurr) <=> v1(constB156)),
% 28.74/19.27 inference(symmetry,[status(thm)],[32057])).
% 28.74/19.27 tff(32059,plain,
% 28.74/19.27 ((~v1(sK_VarCurr)) <=> (~v1(constB156))),
% 28.74/19.27 inference(monotonicity,[status(thm)],[32058])).
% 28.74/19.27 tff(32060,plain,
% 28.74/19.27 (~v1(constB156)),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[63, 32059])).
% 28.74/19.27 tff(32061,plain,
% 28.74/19.27 ($false),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[22414, 32060])).
% 28.74/19.27 tff(32062,plain,(~(constB156 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.74/19.27 tff(32063,assumption,(constB42 = sK_VarCurr), introduced(assumption)).
% 28.74/19.27 tff(32064,plain,
% 28.74/19.27 (v1(constB42) <=> v1(sK_VarCurr)),
% 28.74/19.27 inference(monotonicity,[status(thm)],[32063])).
% 28.74/19.27 tff(32065,plain,
% 28.74/19.27 (v1(sK_VarCurr) <=> v1(constB42)),
% 28.74/19.27 inference(symmetry,[status(thm)],[32064])).
% 28.74/19.27 tff(32066,plain,
% 28.74/19.27 ((~v1(sK_VarCurr)) <=> (~v1(constB42))),
% 28.74/19.27 inference(monotonicity,[status(thm)],[32065])).
% 28.74/19.27 tff(32067,plain,
% 28.74/19.27 (~v1(constB42)),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[63, 32066])).
% 28.74/19.27 tff(32068,plain,
% 28.74/19.27 ($false),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[6578, 32067])).
% 28.74/19.27 tff(32069,plain,(~(constB42 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.74/19.27 tff(32070,assumption,(constB37 = sK_VarCurr), introduced(assumption)).
% 28.74/19.27 tff(32071,plain,
% 28.74/19.27 (v180(constB37) <=> v180(sK_VarCurr)),
% 28.74/19.27 inference(monotonicity,[status(thm)],[32070])).
% 28.74/19.27 tff(32072,plain,
% 28.74/19.27 (v180(sK_VarCurr) <=> v180(constB37)),
% 28.74/19.27 inference(symmetry,[status(thm)],[32071])).
% 28.74/19.27 tff(32073,plain,
% 28.74/19.27 (v180(constB37)),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[86, 32072])).
% 28.74/19.27 tff(32074,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB35, 2)) | v88(constB35, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB35, 2)) | v88(constB35, 2))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32075,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB35, 2)) | v88(constB35, 2))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32076,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB35, 2)) | v88(constB35, 2)),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[32075, 32074])).
% 28.74/19.27 tff(32077,plain,
% 28.74/19.27 (v88(constB35, 2)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32076, 27680, 5844])).
% 28.74/19.27 tff(32078,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB35)) | (~v88(constB35, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB35)) | (~v88(constB35, 2)))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32079,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB35)) | (~v88(constB35, 2)))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32080,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB35)) | (~v88(constB35, 2))),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[32079, 32078])).
% 28.74/19.27 tff(32081,plain,
% 28.74/19.27 (~v140(constB35)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32080, 27702, 32077])).
% 28.74/19.27 tff(32082,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB35, 0)) | v88(constB35, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB35, 0)) | v88(constB35, 0))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32083,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB35, 0)) | v88(constB35, 0))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32084,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB35, 0)) | v88(constB35, 0)),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[32083, 32082])).
% 28.74/19.27 tff(32085,plain,
% 28.74/19.27 (v88(constB35, 0)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32084, 27874, 5909])).
% 28.74/19.27 tff(32086,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB35)) | (~v88(constB35, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB35)) | (~v88(constB35, 0)))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32087,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB35)) | (~v88(constB35, 0)))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32088,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB35)) | (~v88(constB35, 0))),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[32087, 32086])).
% 28.74/19.27 tff(32089,plain,
% 28.74/19.27 (~v139(constB35)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32088, 27885, 32085])).
% 28.74/19.27 tff(32090,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB35) | v140(constB35) | (~v168(constB35)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB35) | v140(constB35) | (~v168(constB35)))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32091,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB35) | v140(constB35) | (~v168(constB35)))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32092,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB35) | v140(constB35) | (~v168(constB35))),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[32091, 32090])).
% 28.74/19.27 tff(32093,plain,
% 28.74/19.27 (~v168(constB35)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32092, 27142, 32089, 32081])).
% 28.74/19.27 tff(32094,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB35, 1)) | v90(constB35, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB35, 1)) | v90(constB35, 1))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32095,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB35, 1)) | v90(constB35, 1))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32096,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB35, 1)) | v90(constB35, 1)),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[32095, 32094])).
% 28.74/19.27 tff(32097,plain,
% 28.74/19.27 (~v88(constB35, 1)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32096, 27717, 5878])).
% 28.74/19.27 tff(32098,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB35, 2)) | v147(constB35) | v88(constB35, 1) | (~v88(constB35, 0)))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB35, 2)) | v147(constB35) | v88(constB35, 1) | (~v88(constB35, 0)))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32099,plain,
% 28.74/19.27 (((~v88(constB35, 2)) | v88(constB35, 1) | (~v88(constB35, 0)) | v147(constB35)) <=> ((~v88(constB35, 2)) | v147(constB35) | v88(constB35, 1) | (~v88(constB35, 0)))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32100,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB35, 2)) | v88(constB35, 1) | (~v88(constB35, 0)) | v147(constB35))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB35, 2)) | v147(constB35) | v88(constB35, 1) | (~v88(constB35, 0))))),
% 28.74/19.27 inference(monotonicity,[status(thm)],[32099])).
% 28.74/19.27 tff(32101,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB35, 2)) | v88(constB35, 1) | (~v88(constB35, 0)) | v147(constB35))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB35, 2)) | v147(constB35) | v88(constB35, 1) | (~v88(constB35, 0)))),
% 28.74/19.27 inference(transitivity,[status(thm)],[32100, 32098])).
% 28.74/19.27 tff(32102,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB35, 2)) | v88(constB35, 1) | (~v88(constB35, 0)) | v147(constB35))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32103,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB35, 2)) | v147(constB35) | v88(constB35, 1) | (~v88(constB35, 0))),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[32102, 32101])).
% 28.74/19.27 tff(32104,plain,
% 28.74/19.27 (v147(constB35)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32103, 27907, 32085, 32077, 32097])).
% 28.74/19.27 tff(32105,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB35)) | v145(constB35))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB35)) | v145(constB35))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32106,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB35)) | v145(constB35))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32107,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB35)) | v145(constB35)),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[32106, 32105])).
% 28.74/19.27 tff(32108,plain,
% 28.74/19.27 (v145(constB35)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32107, 27921, 32104])).
% 28.74/19.27 tff(32109,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB35) | (~v145(constB35)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB35) | (~v145(constB35)))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32110,plain,
% 28.74/19.27 (((~v145(constB35)) | v164(constB35)) <=> (v164(constB35) | (~v145(constB35)))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32111,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB35)) | v164(constB35))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB35) | (~v145(constB35))))),
% 28.74/19.27 inference(monotonicity,[status(thm)],[32110])).
% 28.74/19.27 tff(32112,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB35)) | v164(constB35))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB35) | (~v145(constB35)))),
% 28.74/19.27 inference(transitivity,[status(thm)],[32111, 32109])).
% 28.74/19.27 tff(32113,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB35)) | v164(constB35))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32114,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB35) | (~v145(constB35))),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[32113, 32112])).
% 28.74/19.27 tff(32115,plain,
% 28.74/19.27 (v164(constB35)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32114, 27760, 32108])).
% 28.74/19.27 tff(32116,plain,
% 28.74/19.27 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB35)) | v168(constB35) | (~v164(constB35)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB35)) | v168(constB35) | (~v164(constB35)))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32117,plain,
% 28.74/19.27 (((~v164(constB35)) | v168(constB35) | (~v161(constB35))) <=> ((~v161(constB35)) | v168(constB35) | (~v164(constB35)))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32118,plain,
% 28.74/19.27 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB35)) | v168(constB35) | (~v161(constB35)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB35)) | v168(constB35) | (~v164(constB35))))),
% 28.74/19.27 inference(monotonicity,[status(thm)],[32117])).
% 28.74/19.27 tff(32119,plain,
% 28.74/19.27 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB35)) | v168(constB35) | (~v161(constB35)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB35)) | v168(constB35) | (~v164(constB35)))),
% 28.74/19.27 inference(transitivity,[status(thm)],[32118, 32116])).
% 28.74/19.27 tff(32120,plain,
% 28.74/19.27 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB35)) | v168(constB35) | (~v161(constB35)))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32121,plain,
% 28.74/19.27 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB35)) | v168(constB35) | (~v164(constB35))),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[32120, 32119])).
% 28.74/19.27 tff(32122,plain,
% 28.74/19.27 (~v161(constB35)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32121, 27156, 32115, 32093])).
% 28.74/19.27 tff(32123,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB35) | (~v187(constB35)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB35) | (~v187(constB35)))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32124,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB35) | (~v187(constB35)))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32125,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB35) | (~v187(constB35))),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[32124, 32123])).
% 28.74/19.27 tff(32126,plain,
% 28.74/19.27 (~v187(constB35)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32125, 27174, 32122])).
% 28.74/19.27 tff(32127,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB35) | (~v185(constB35)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB35) | (~v185(constB35)))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32128,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB35) | (~v185(constB35)))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32129,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB35) | (~v185(constB35))),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[32128, 32127])).
% 28.74/19.27 tff(32130,plain,
% 28.74/19.27 (~v185(constB35)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32129, 27188, 32126])).
% 28.74/19.27 tff(32131,assumption,(v18(constB36)), introduced(assumption)).
% 28.74/19.27 tff(32132,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB36))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32133,plain,
% 28.74/19.27 ($false),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32132, 27200, 32131])).
% 28.74/19.27 tff(32134,plain,(~v18(constB36)), inference(lemma,lemma(discharge,[]))).
% 28.74/19.27 tff(32135,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB36) | (~v1(constB36)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB36) | (~v1(constB36)))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32136,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB36) | (~v1(constB36)))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32137,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB36) | (~v1(constB36))),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[32136, 32135])).
% 28.74/19.27 tff(32138,plain,
% 28.74/19.27 (v22(constB36)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32137, 27216, 5966])).
% 28.74/19.27 tff(32139,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB36) | (~v22(constB36)) | (~v19(constB36)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB36) | (~v22(constB36)) | (~v19(constB36)))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32140,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB36) | (~v22(constB36)) | (~v19(constB36)))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32141,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB36) | (~v22(constB36)) | (~v19(constB36))),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[32140, 32139])).
% 28.74/19.27 tff(32142,plain,
% 28.74/19.27 (v18(constB36) | (~v19(constB36))),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32141, 27230, 32138])).
% 28.74/19.27 tff(32143,plain,
% 28.74/19.27 (~v19(constB36)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32142, 32134])).
% 28.74/19.27 tff(32144,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB36) | v19(constB36))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB36) | v19(constB36))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32145,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB36) | v19(constB36))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32146,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB36) | v19(constB36)),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[32145, 32144])).
% 28.74/19.27 tff(32147,plain,
% 28.74/19.27 (v13(constB36)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32146, 27242, 32143])).
% 28.74/19.27 tff(32148,plain,
% 28.74/19.27 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB35) | (~v13(constB36)) | (~nextState(constB35, constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB35) | (~v13(constB36)) | (~nextState(constB35, constB36)))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32149,plain,
% 28.74/19.27 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB35) | (~v13(constB36)) | (~nextState(constB35, constB36)))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32150,plain,
% 28.74/19.27 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB35) | (~v13(constB36)) | (~nextState(constB35, constB36))),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[32149, 32148])).
% 28.74/19.27 tff(32151,plain,
% 28.74/19.27 (v9(constB35) | (~v13(constB36))),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32150, 27259, 5946])).
% 28.74/19.27 tff(32152,plain,
% 28.74/19.27 (v9(constB35)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32151, 32147])).
% 28.74/19.27 tff(32153,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB35) | (~v9(constB35)) | v184(constB35))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB35) | (~v9(constB35)) | v184(constB35))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.74/19.27 tff(32154,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB35) | (~v9(constB35)) | v184(constB35))),
% 28.74/19.27 inference(quant_inst,[status(thm)],[])).
% 28.74/19.27 tff(32155,plain,
% 28.74/19.27 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB35) | (~v9(constB35)) | v184(constB35)),
% 28.74/19.27 inference(modus_ponens,[status(thm)],[32154, 32153])).
% 28.74/19.27 tff(32156,plain,
% 28.74/19.27 ((~v9(constB35)) | v184(constB35)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32155, 27274, 5820])).
% 28.74/19.27 tff(32157,plain,
% 28.74/19.27 (v184(constB35)),
% 28.74/19.27 inference(unit_resolution,[status(thm)],[32156, 32152])).
% 28.74/19.27 tff(32158,plain,
% 28.74/19.27 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB35)) | v183(constB35))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB35)) | v183(constB35))),
% 28.74/19.27 inference(rewrite,[status(thm)],[])).
% 28.75/19.27 tff(32159,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB35)) | v183(constB35))),
% 28.75/19.27 inference(quant_inst,[status(thm)],[])).
% 28.75/19.27 tff(32160,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB35)) | v183(constB35)),
% 28.75/19.27 inference(modus_ponens,[status(thm)],[32159, 32158])).
% 28.75/19.27 tff(32161,plain,
% 28.75/19.27 (v183(constB35)),
% 28.75/19.27 inference(unit_resolution,[status(thm)],[32160, 27286, 32157])).
% 28.75/19.27 tff(32162,plain,
% 28.75/19.27 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB35)) | (~v183(constB35)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB35)) | (~v183(constB35)))),
% 28.75/19.27 inference(rewrite,[status(thm)],[])).
% 28.75/19.27 tff(32163,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB35)) | (~v183(constB35)))),
% 28.75/19.27 inference(quant_inst,[status(thm)],[])).
% 28.75/19.27 tff(32164,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB35)) | (~v183(constB35))),
% 28.75/19.27 inference(modus_ponens,[status(thm)],[32163, 32162])).
% 28.75/19.27 tff(32165,plain,
% 28.75/19.27 (~v181(constB35)),
% 28.75/19.27 inference(unit_resolution,[status(thm)],[32164, 27300, 32161])).
% 28.75/19.27 tff(32166,plain,
% 28.75/19.27 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB35) | v185(constB35) | (~v178(constB35)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB35) | v185(constB35) | (~v178(constB35)))),
% 28.75/19.27 inference(rewrite,[status(thm)],[])).
% 28.75/19.27 tff(32167,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB35) | v185(constB35) | (~v178(constB35)))),
% 28.75/19.27 inference(quant_inst,[status(thm)],[])).
% 28.75/19.27 tff(32168,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB35) | v185(constB35) | (~v178(constB35))),
% 28.75/19.27 inference(modus_ponens,[status(thm)],[32167, 32166])).
% 28.75/19.27 tff(32169,plain,
% 28.75/19.27 (v185(constB35) | (~v178(constB35))),
% 28.75/19.27 inference(unit_resolution,[status(thm)],[32168, 27314, 32165])).
% 28.75/19.27 tff(32170,plain,
% 28.75/19.27 (~v178(constB35)),
% 28.75/19.27 inference(unit_resolution,[status(thm)],[32169, 32130])).
% 28.75/19.27 tff(32171,plain,
% 28.75/19.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB35, constB36)) | v178(constB35) | (~v180(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB35, constB36)) | v178(constB35) | (~v180(constB36)))),
% 28.75/19.27 inference(rewrite,[status(thm)],[])).
% 28.75/19.27 tff(32172,plain,
% 28.75/19.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB35, constB36)) | v178(constB35) | (~v180(constB36)))),
% 28.75/19.27 inference(quant_inst,[status(thm)],[])).
% 28.75/19.27 tff(32173,plain,
% 28.75/19.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB35, constB36)) | v178(constB35) | (~v180(constB36))),
% 28.75/19.27 inference(modus_ponens,[status(thm)],[32172, 32171])).
% 28.75/19.27 tff(32174,plain,
% 28.75/19.27 (v178(constB35) | (~v180(constB36))),
% 28.75/19.27 inference(unit_resolution,[status(thm)],[32173, 27329, 5946])).
% 28.75/19.27 tff(32175,plain,
% 28.75/19.27 (~v180(constB36)),
% 28.75/19.27 inference(unit_resolution,[status(thm)],[32174, 32170])).
% 28.75/19.27 tff(32176,plain,
% 28.75/19.27 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB36) | (~v181(constB36)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB36) | (~v181(constB36)))),
% 28.75/19.27 inference(rewrite,[status(thm)],[])).
% 28.75/19.27 tff(32177,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB36) | (~v181(constB36)))),
% 28.75/19.27 inference(quant_inst,[status(thm)],[])).
% 28.75/19.27 tff(32178,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB36) | (~v181(constB36))),
% 28.75/19.27 inference(modus_ponens,[status(thm)],[32177, 32176])).
% 28.75/19.27 tff(32179,plain,
% 28.75/19.27 (~v181(constB36)),
% 28.75/19.27 inference(unit_resolution,[status(thm)],[32178, 27344, 32175])).
% 28.75/19.27 tff(32180,plain,
% 28.75/19.27 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB36)) | (~v184(constB36)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB36)) | (~v184(constB36)))),
% 28.75/19.27 inference(rewrite,[status(thm)],[])).
% 28.75/19.27 tff(32181,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB36)) | (~v184(constB36)))),
% 28.75/19.27 inference(quant_inst,[status(thm)],[])).
% 28.75/19.27 tff(32182,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB36)) | (~v184(constB36))),
% 28.75/19.27 inference(modus_ponens,[status(thm)],[32181, 32180])).
% 28.75/19.27 tff(32183,plain,
% 28.75/19.27 (~v184(constB36)),
% 28.75/19.27 inference(unit_resolution,[status(thm)],[32182, 59, 5966])).
% 28.75/19.27 tff(32184,plain,
% 28.75/19.27 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB36) | (~v187(constB36)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB36) | (~v187(constB36)))),
% 28.75/19.27 inference(rewrite,[status(thm)],[])).
% 28.75/19.27 tff(32185,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB36) | (~v187(constB36)))),
% 28.75/19.27 inference(quant_inst,[status(thm)],[])).
% 28.75/19.27 tff(32186,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB36) | (~v187(constB36))),
% 28.75/19.27 inference(modus_ponens,[status(thm)],[32185, 32184])).
% 28.75/19.27 tff(32187,plain,
% 28.75/19.27 (~v187(constB36)),
% 28.75/19.27 inference(unit_resolution,[status(thm)],[32186, 27362, 32183])).
% 28.75/19.27 tff(32188,plain,
% 28.75/19.27 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB36) | (~v185(constB36)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB36) | (~v185(constB36)))),
% 28.75/19.27 inference(rewrite,[status(thm)],[])).
% 28.75/19.27 tff(32189,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB36) | (~v185(constB36)))),
% 28.75/19.27 inference(quant_inst,[status(thm)],[])).
% 28.75/19.27 tff(32190,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB36) | (~v185(constB36))),
% 28.75/19.27 inference(modus_ponens,[status(thm)],[32189, 32188])).
% 28.75/19.27 tff(32191,plain,
% 28.75/19.27 (~v185(constB36)),
% 28.75/19.27 inference(unit_resolution,[status(thm)],[32190, 27188, 32187])).
% 28.75/19.27 tff(32192,plain,
% 28.75/19.27 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB36) | v185(constB36) | (~v178(constB36)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB36) | v185(constB36) | (~v178(constB36)))),
% 28.75/19.27 inference(rewrite,[status(thm)],[])).
% 28.75/19.27 tff(32193,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB36) | v185(constB36) | (~v178(constB36)))),
% 28.75/19.27 inference(quant_inst,[status(thm)],[])).
% 28.75/19.27 tff(32194,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB36) | v185(constB36) | (~v178(constB36))),
% 28.75/19.27 inference(modus_ponens,[status(thm)],[32193, 32192])).
% 28.75/19.27 tff(32195,plain,
% 28.75/19.27 (v181(constB36) | (~v178(constB36))),
% 28.75/19.27 inference(unit_resolution,[status(thm)],[32194, 27314, 32191])).
% 28.75/19.27 tff(32196,plain,
% 28.75/19.27 (~v178(constB36)),
% 28.75/19.27 inference(unit_resolution,[status(thm)],[32195, 32179])).
% 28.75/19.27 tff(32197,plain,
% 28.75/19.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB36, constB37)) | v178(constB36) | (~v180(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB36, constB37)) | v178(constB36) | (~v180(constB37)))),
% 28.75/19.27 inference(rewrite,[status(thm)],[])).
% 28.75/19.27 tff(32198,plain,
% 28.75/19.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB36, constB37)) | v178(constB36) | (~v180(constB37)))),
% 28.75/19.27 inference(quant_inst,[status(thm)],[])).
% 28.75/19.27 tff(32199,plain,
% 28.75/19.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB36, constB37)) | v178(constB36) | (~v180(constB37))),
% 28.75/19.27 inference(modus_ponens,[status(thm)],[32198, 32197])).
% 28.75/19.27 tff(32200,plain,
% 28.75/19.27 (v178(constB36) | (~v180(constB37))),
% 28.75/19.27 inference(unit_resolution,[status(thm)],[32199, 27329, 6008])).
% 28.75/19.27 tff(32201,plain,
% 28.75/19.27 (~v180(constB37)),
% 28.75/19.27 inference(unit_resolution,[status(thm)],[32200, 32196])).
% 28.75/19.27 tff(32202,plain,
% 28.75/19.27 ($false),
% 28.75/19.27 inference(unit_resolution,[status(thm)],[32201, 32073])).
% 28.75/19.27 tff(32203,plain,(~(constB37 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.75/19.27 tff(32204,assumption,(constB36 = sK_VarCurr), introduced(assumption)).
% 28.75/19.27 tff(32205,plain,
% 28.75/19.27 (v1(constB36) <=> v1(sK_VarCurr)),
% 28.75/19.27 inference(monotonicity,[status(thm)],[32204])).
% 28.75/19.27 tff(32206,plain,
% 28.75/19.27 (v1(sK_VarCurr) <=> v1(constB36)),
% 28.75/19.27 inference(symmetry,[status(thm)],[32205])).
% 28.75/19.27 tff(32207,plain,
% 28.75/19.27 ((~v1(sK_VarCurr)) <=> (~v1(constB36))),
% 28.75/19.27 inference(monotonicity,[status(thm)],[32206])).
% 28.75/19.27 tff(32208,plain,
% 28.75/19.27 (~v1(constB36)),
% 28.75/19.27 inference(modus_ponens,[status(thm)],[63, 32207])).
% 28.75/19.27 tff(32209,plain,
% 28.75/19.27 ($false),
% 28.75/19.27 inference(unit_resolution,[status(thm)],[5966, 32208])).
% 28.75/19.27 tff(32210,plain,(~(constB36 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.75/19.27 tff(32211,assumption,(constB15 = sK_VarCurr), introduced(assumption)).
% 28.75/19.27 tff(32212,plain,
% 28.75/19.27 (v180(constB15) <=> v180(sK_VarCurr)),
% 28.75/19.27 inference(monotonicity,[status(thm)],[32211])).
% 28.75/19.27 tff(32213,plain,
% 28.75/19.27 (v180(sK_VarCurr) <=> v180(constB15)),
% 28.75/19.27 inference(symmetry,[status(thm)],[32212])).
% 28.75/19.27 tff(32214,plain,
% 28.75/19.27 (v180(constB15)),
% 28.75/19.27 inference(modus_ponens,[status(thm)],[86, 32213])).
% 28.75/19.27 tff(32215,plain,
% 28.75/19.27 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB13, 0)) | v90(constB13, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB13, 0)) | v90(constB13, 0))),
% 28.75/19.27 inference(rewrite,[status(thm)],[])).
% 28.75/19.27 tff(32216,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB13, 0)) | v90(constB13, 0))),
% 28.75/19.27 inference(quant_inst,[status(thm)],[])).
% 28.75/19.27 tff(32217,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB13, 0)) | v90(constB13, 0)),
% 28.75/19.27 inference(modus_ponens,[status(thm)],[32216, 32215])).
% 28.75/19.27 tff(32218,plain,
% 28.75/19.27 (~v88(constB13, 0)),
% 28.75/19.27 inference(unit_resolution,[status(thm)],[32217, 26990, 2001])).
% 28.75/19.27 tff(32219,plain,
% 28.75/19.27 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB13, 2)) | v88(constB13, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB13, 2)) | v88(constB13, 2))),
% 28.75/19.27 inference(rewrite,[status(thm)],[])).
% 28.75/19.27 tff(32220,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB13, 2)) | v88(constB13, 2))),
% 28.75/19.27 inference(quant_inst,[status(thm)],[])).
% 28.75/19.27 tff(32221,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB13, 2)) | v88(constB13, 2)),
% 28.75/19.27 inference(modus_ponens,[status(thm)],[32220, 32219])).
% 28.75/19.27 tff(32222,plain,
% 28.75/19.27 (v88(constB13, 2)),
% 28.75/19.27 inference(unit_resolution,[status(thm)],[32221, 27680, 1922])).
% 28.75/19.27 tff(32223,plain,
% 28.75/19.27 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB13, 1)) | v88(constB13, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB13, 1)) | v88(constB13, 1))),
% 28.75/19.27 inference(rewrite,[status(thm)],[])).
% 28.75/19.27 tff(32224,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB13, 1)) | v88(constB13, 1))),
% 28.75/19.27 inference(quant_inst,[status(thm)],[])).
% 28.75/19.27 tff(32225,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB13, 1)) | v88(constB13, 1)),
% 28.75/19.27 inference(modus_ponens,[status(thm)],[32224, 32223])).
% 28.75/19.27 tff(32226,plain,
% 28.75/19.27 (v88(constB13, 1)),
% 28.75/19.27 inference(unit_resolution,[status(thm)],[32225, 26945, 1960])).
% 28.75/19.27 tff(32227,plain,
% 28.75/19.27 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB13, 1)) | (~v88(constB13, 2)) | v88(constB13, 0) | v144(constB13))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB13, 1)) | (~v88(constB13, 2)) | v88(constB13, 0) | v144(constB13))),
% 28.75/19.27 inference(rewrite,[status(thm)],[])).
% 28.75/19.27 tff(32228,plain,
% 28.75/19.27 (((~v88(constB13, 2)) | (~v88(constB13, 1)) | v88(constB13, 0) | v144(constB13)) <=> ((~v88(constB13, 1)) | (~v88(constB13, 2)) | v88(constB13, 0) | v144(constB13))),
% 28.75/19.27 inference(rewrite,[status(thm)],[])).
% 28.75/19.27 tff(32229,plain,
% 28.75/19.27 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB13, 2)) | (~v88(constB13, 1)) | v88(constB13, 0) | v144(constB13))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB13, 1)) | (~v88(constB13, 2)) | v88(constB13, 0) | v144(constB13)))),
% 28.75/19.27 inference(monotonicity,[status(thm)],[32228])).
% 28.75/19.27 tff(32230,plain,
% 28.75/19.27 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB13, 2)) | (~v88(constB13, 1)) | v88(constB13, 0) | v144(constB13))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB13, 1)) | (~v88(constB13, 2)) | v88(constB13, 0) | v144(constB13))),
% 28.75/19.27 inference(transitivity,[status(thm)],[32229, 32227])).
% 28.75/19.27 tff(32231,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB13, 2)) | (~v88(constB13, 1)) | v88(constB13, 0) | v144(constB13))),
% 28.75/19.27 inference(quant_inst,[status(thm)],[])).
% 28.75/19.27 tff(32232,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB13, 1)) | (~v88(constB13, 2)) | v88(constB13, 0) | v144(constB13)),
% 28.75/19.27 inference(modus_ponens,[status(thm)],[32231, 32230])).
% 28.75/19.27 tff(32233,plain,
% 28.75/19.27 (v144(constB13)),
% 28.75/19.27 inference(unit_resolution,[status(thm)],[32232, 28458, 32226, 32222, 32218])).
% 28.75/19.27 tff(32234,plain,
% 28.75/19.27 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB13)) | v142(constB13))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB13)) | v142(constB13))),
% 28.75/19.27 inference(rewrite,[status(thm)],[])).
% 28.75/19.27 tff(32235,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB13)) | v142(constB13))),
% 28.75/19.27 inference(quant_inst,[status(thm)],[])).
% 28.75/19.27 tff(32236,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB13)) | v142(constB13)),
% 28.75/19.27 inference(modus_ponens,[status(thm)],[32235, 32234])).
% 28.75/19.27 tff(32237,plain,
% 28.75/19.27 (v142(constB13)),
% 28.75/19.27 inference(unit_resolution,[status(thm)],[32236, 28472, 32233])).
% 28.75/19.27 tff(32238,plain,
% 28.75/19.27 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB13)) | v165(constB13))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB13)) | v165(constB13))),
% 28.75/19.27 inference(rewrite,[status(thm)],[])).
% 28.75/19.27 tff(32239,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB13)) | v165(constB13))),
% 28.75/19.27 inference(quant_inst,[status(thm)],[])).
% 28.75/19.27 tff(32240,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB13)) | v165(constB13)),
% 28.75/19.27 inference(modus_ponens,[status(thm)],[32239, 32238])).
% 28.75/19.27 tff(32241,plain,
% 28.75/19.27 (v165(constB13)),
% 28.75/19.27 inference(unit_resolution,[status(thm)],[32240, 27075, 32237])).
% 28.75/19.27 tff(32242,plain,
% 28.75/19.27 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB13) | (~v165(constB13)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB13) | (~v165(constB13)))),
% 28.75/19.27 inference(rewrite,[status(thm)],[])).
% 28.75/19.27 tff(32243,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB13) | (~v165(constB13)))),
% 28.75/19.27 inference(quant_inst,[status(thm)],[])).
% 28.75/19.27 tff(32244,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB13) | (~v165(constB13))),
% 28.75/19.27 inference(modus_ponens,[status(thm)],[32243, 32242])).
% 28.75/19.27 tff(32245,plain,
% 28.75/19.27 (v164(constB13)),
% 28.75/19.27 inference(unit_resolution,[status(thm)],[32244, 27089, 32241])).
% 28.75/19.27 tff(32246,plain,
% 28.75/19.27 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB13)) | (~v88(constB13, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB13)) | (~v88(constB13, 1)))),
% 28.75/19.27 inference(rewrite,[status(thm)],[])).
% 28.75/19.27 tff(32247,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB13)) | (~v88(constB13, 1)))),
% 28.75/19.27 inference(quant_inst,[status(thm)],[])).
% 28.75/19.27 tff(32248,plain,
% 28.75/19.27 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB13)) | (~v88(constB13, 1))),
% 28.75/19.27 inference(modus_ponens,[status(thm)],[32247, 32246])).
% 28.75/19.27 tff(32249,plain,
% 28.75/19.27 (~v139(constB13)),
% 28.75/19.27 inference(unit_resolution,[status(thm)],[32248, 27117, 32226])).
% 28.75/19.27 tff(32250,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB13)) | (~v88(constB13, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB13)) | (~v88(constB13, 1)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32251,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB13)) | (~v88(constB13, 1)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32252,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB13)) | (~v88(constB13, 1))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32251, 32250])).
% 28.75/19.28 tff(32253,plain,
% 28.75/19.28 (~v140(constB13)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32252, 27128, 32226])).
% 28.75/19.28 tff(32254,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB13) | v140(constB13) | (~v168(constB13)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB13) | v140(constB13) | (~v168(constB13)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32255,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB13) | v140(constB13) | (~v168(constB13)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32256,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB13) | v140(constB13) | (~v168(constB13))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32255, 32254])).
% 28.75/19.28 tff(32257,plain,
% 28.75/19.28 (~v168(constB13)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32256, 27142, 32253, 32249])).
% 28.75/19.28 tff(32258,plain,
% 28.75/19.28 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB13)) | (~v164(constB13)) | v168(constB13))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB13)) | (~v164(constB13)) | v168(constB13))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32259,plain,
% 28.75/19.28 (((~v164(constB13)) | v168(constB13) | (~v161(constB13))) <=> ((~v161(constB13)) | (~v164(constB13)) | v168(constB13))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32260,plain,
% 28.75/19.28 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB13)) | v168(constB13) | (~v161(constB13)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB13)) | (~v164(constB13)) | v168(constB13)))),
% 28.75/19.28 inference(monotonicity,[status(thm)],[32259])).
% 28.75/19.28 tff(32261,plain,
% 28.75/19.28 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB13)) | v168(constB13) | (~v161(constB13)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB13)) | (~v164(constB13)) | v168(constB13))),
% 28.75/19.28 inference(transitivity,[status(thm)],[32260, 32258])).
% 28.75/19.28 tff(32262,plain,
% 28.75/19.28 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB13)) | v168(constB13) | (~v161(constB13)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32263,plain,
% 28.75/19.28 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB13)) | (~v164(constB13)) | v168(constB13)),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32262, 32261])).
% 28.75/19.28 tff(32264,plain,
% 28.75/19.28 ((~v161(constB13)) | (~v164(constB13))),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32263, 27156, 32257])).
% 28.75/19.28 tff(32265,plain,
% 28.75/19.28 (~v161(constB13)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32264, 32245])).
% 28.75/19.28 tff(32266,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB13) | (~v187(constB13)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB13) | (~v187(constB13)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32267,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB13) | (~v187(constB13)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32268,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB13) | (~v187(constB13))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32267, 32266])).
% 28.75/19.28 tff(32269,plain,
% 28.75/19.28 (~v187(constB13)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32268, 27174, 32265])).
% 28.75/19.28 tff(32270,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB13) | (~v185(constB13)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB13) | (~v185(constB13)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32271,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB13) | (~v185(constB13)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32272,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB13) | (~v185(constB13))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32271, 32270])).
% 28.75/19.28 tff(32273,plain,
% 28.75/19.28 (~v185(constB13)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32272, 27188, 32269])).
% 28.75/19.28 tff(32274,assumption,(v18(constB14)), introduced(assumption)).
% 28.75/19.28 tff(32275,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB14))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32276,plain,
% 28.75/19.28 ($false),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32275, 27200, 32274])).
% 28.75/19.28 tff(32277,plain,(~v18(constB14)), inference(lemma,lemma(discharge,[]))).
% 28.75/19.28 tff(32278,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB14) | (~v1(constB14)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB14) | (~v1(constB14)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32279,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB14) | (~v1(constB14)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32280,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB14) | (~v1(constB14))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32279, 32278])).
% 28.75/19.28 tff(32281,plain,
% 28.75/19.28 (v22(constB14)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32280, 27216, 2065])).
% 28.75/19.28 tff(32282,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB14) | (~v22(constB14)) | (~v19(constB14)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB14) | (~v22(constB14)) | (~v19(constB14)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32283,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB14) | (~v22(constB14)) | (~v19(constB14)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32284,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB14) | (~v22(constB14)) | (~v19(constB14))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32283, 32282])).
% 28.75/19.28 tff(32285,plain,
% 28.75/19.28 (v18(constB14) | (~v19(constB14))),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32284, 27230, 32281])).
% 28.75/19.28 tff(32286,plain,
% 28.75/19.28 (~v19(constB14)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32285, 32277])).
% 28.75/19.28 tff(32287,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB14) | v19(constB14))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB14) | v19(constB14))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32288,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB14) | v19(constB14))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32289,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB14) | v19(constB14)),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32288, 32287])).
% 28.75/19.28 tff(32290,plain,
% 28.75/19.28 (v13(constB14)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32289, 27242, 32286])).
% 28.75/19.28 tff(32291,plain,
% 28.75/19.28 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB13) | (~v13(constB14)) | (~nextState(constB13, constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB13) | (~v13(constB14)) | (~nextState(constB13, constB14)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32292,plain,
% 28.75/19.28 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB13) | (~v13(constB14)) | (~nextState(constB13, constB14)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32293,plain,
% 28.75/19.28 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB13) | (~v13(constB14)) | (~nextState(constB13, constB14))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32292, 32291])).
% 28.75/19.28 tff(32294,plain,
% 28.75/19.28 (v9(constB13) | (~v13(constB14))),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32293, 27259, 2045])).
% 28.75/19.28 tff(32295,plain,
% 28.75/19.28 (v9(constB13)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32294, 32290])).
% 28.75/19.28 tff(32296,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB13) | (~v9(constB13)) | v184(constB13))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB13) | (~v9(constB13)) | v184(constB13))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32297,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB13) | (~v9(constB13)) | v184(constB13))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32298,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB13) | (~v9(constB13)) | v184(constB13)),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32297, 32296])).
% 28.75/19.28 tff(32299,plain,
% 28.75/19.28 ((~v9(constB13)) | v184(constB13)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32298, 27274, 1898])).
% 28.75/19.28 tff(32300,plain,
% 28.75/19.28 (v184(constB13)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32299, 32295])).
% 28.75/19.28 tff(32301,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB13)) | v183(constB13))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB13)) | v183(constB13))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32302,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB13)) | v183(constB13))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32303,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB13)) | v183(constB13)),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32302, 32301])).
% 28.75/19.28 tff(32304,plain,
% 28.75/19.28 (v183(constB13)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32303, 27286, 32300])).
% 28.75/19.28 tff(32305,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB13)) | (~v183(constB13)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB13)) | (~v183(constB13)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32306,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB13)) | (~v183(constB13)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32307,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB13)) | (~v183(constB13))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32306, 32305])).
% 28.75/19.28 tff(32308,plain,
% 28.75/19.28 (~v181(constB13)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32307, 27300, 32304])).
% 28.75/19.28 tff(32309,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB13) | v185(constB13) | (~v178(constB13)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB13) | v185(constB13) | (~v178(constB13)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32310,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB13) | v185(constB13) | (~v178(constB13)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32311,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB13) | v185(constB13) | (~v178(constB13))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32310, 32309])).
% 28.75/19.28 tff(32312,plain,
% 28.75/19.28 (v185(constB13) | (~v178(constB13))),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32311, 27314, 32308])).
% 28.75/19.28 tff(32313,plain,
% 28.75/19.28 (~v178(constB13)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32312, 32273])).
% 28.75/19.28 tff(32314,plain,
% 28.75/19.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB13, constB14)) | v178(constB13) | (~v180(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB13, constB14)) | v178(constB13) | (~v180(constB14)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32315,plain,
% 28.75/19.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB13, constB14)) | v178(constB13) | (~v180(constB14)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32316,plain,
% 28.75/19.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB13, constB14)) | v178(constB13) | (~v180(constB14))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32315, 32314])).
% 28.75/19.28 tff(32317,plain,
% 28.75/19.28 (v178(constB13) | (~v180(constB14))),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32316, 27329, 2045])).
% 28.75/19.28 tff(32318,plain,
% 28.75/19.28 (~v180(constB14)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32317, 32313])).
% 28.75/19.28 tff(32319,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB14) | (~v181(constB14)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB14) | (~v181(constB14)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32320,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB14) | (~v181(constB14)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32321,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB14) | (~v181(constB14))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32320, 32319])).
% 28.75/19.28 tff(32322,plain,
% 28.75/19.28 (~v181(constB14)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32321, 27344, 32318])).
% 28.75/19.28 tff(32323,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB14)) | (~v184(constB14)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB14)) | (~v184(constB14)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32324,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB14)) | (~v184(constB14)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32325,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB14)) | (~v184(constB14))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32324, 32323])).
% 28.75/19.28 tff(32326,plain,
% 28.75/19.28 (~v184(constB14)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32325, 59, 2065])).
% 28.75/19.28 tff(32327,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB14) | (~v187(constB14)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB14) | (~v187(constB14)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32328,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB14) | (~v187(constB14)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32329,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB14) | (~v187(constB14))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32328, 32327])).
% 28.75/19.28 tff(32330,plain,
% 28.75/19.28 (~v187(constB14)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32329, 27362, 32326])).
% 28.75/19.28 tff(32331,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB14) | (~v185(constB14)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB14) | (~v185(constB14)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32332,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB14) | (~v185(constB14)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32333,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB14) | (~v185(constB14))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32332, 32331])).
% 28.75/19.28 tff(32334,plain,
% 28.75/19.28 (~v185(constB14)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32333, 27188, 32330])).
% 28.75/19.28 tff(32335,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB14) | v185(constB14) | (~v178(constB14)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB14) | v185(constB14) | (~v178(constB14)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32336,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB14) | v185(constB14) | (~v178(constB14)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32337,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB14) | v185(constB14) | (~v178(constB14))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32336, 32335])).
% 28.75/19.28 tff(32338,plain,
% 28.75/19.28 (v181(constB14) | (~v178(constB14))),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32337, 27314, 32334])).
% 28.75/19.28 tff(32339,plain,
% 28.75/19.28 (~v178(constB14)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32338, 32322])).
% 28.75/19.28 tff(32340,plain,
% 28.75/19.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB14, constB15)) | v178(constB14) | (~v180(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB14, constB15)) | v178(constB14) | (~v180(constB15)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32341,plain,
% 28.75/19.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB14, constB15)) | v178(constB14) | (~v180(constB15)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32342,plain,
% 28.75/19.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB14, constB15)) | v178(constB14) | (~v180(constB15))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32341, 32340])).
% 28.75/19.28 tff(32343,plain,
% 28.75/19.28 (v178(constB14) | (~v180(constB15))),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32342, 27329, 2183])).
% 28.75/19.28 tff(32344,plain,
% 28.75/19.28 (~v180(constB15)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32343, 32339])).
% 28.75/19.28 tff(32345,plain,
% 28.75/19.28 ($false),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32344, 32214])).
% 28.75/19.28 tff(32346,plain,(~(constB15 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.75/19.28 tff(32347,assumption,(constB176 = sK_VarCurr), introduced(assumption)).
% 28.75/19.28 tff(32348,plain,
% 28.75/19.28 (v1(constB176) <=> v1(sK_VarCurr)),
% 28.75/19.28 inference(monotonicity,[status(thm)],[32347])).
% 28.75/19.28 tff(32349,plain,
% 28.75/19.28 (v1(sK_VarCurr) <=> v1(constB176)),
% 28.75/19.28 inference(symmetry,[status(thm)],[32348])).
% 28.75/19.28 tff(32350,plain,
% 28.75/19.28 ((~v1(sK_VarCurr)) <=> (~v1(constB176))),
% 28.75/19.28 inference(monotonicity,[status(thm)],[32349])).
% 28.75/19.28 tff(32351,plain,
% 28.75/19.28 (~v1(constB176)),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[63, 32350])).
% 28.75/19.28 tff(32352,plain,
% 28.75/19.28 ($false),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[24485, 32351])).
% 28.75/19.28 tff(32353,plain,(~(constB176 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.75/19.28 tff(32354,assumption,(constB131 = sK_VarCurr), introduced(assumption)).
% 28.75/19.28 tff(32355,plain,
% 28.75/19.28 (v180(constB131) <=> v180(sK_VarCurr)),
% 28.75/19.28 inference(monotonicity,[status(thm)],[32354])).
% 28.75/19.28 tff(32356,plain,
% 28.75/19.28 (v180(sK_VarCurr) <=> v180(constB131)),
% 28.75/19.28 inference(symmetry,[status(thm)],[32355])).
% 28.75/19.28 tff(32357,plain,
% 28.75/19.28 (v180(constB131)),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[86, 32356])).
% 28.75/19.28 tff(32358,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB129, 2)) | v88(constB129, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB129, 2)) | v88(constB129, 2))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32359,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB129, 2)) | v88(constB129, 2))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32360,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB129, 2)) | v88(constB129, 2)),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32359, 32358])).
% 28.75/19.28 tff(32361,plain,
% 28.75/19.28 (v88(constB129, 2)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32360, 27680, 19316])).
% 28.75/19.28 tff(32362,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB129)) | (~v88(constB129, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB129)) | (~v88(constB129, 2)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32363,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB129)) | (~v88(constB129, 2)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32364,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB129)) | (~v88(constB129, 2))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32363, 32362])).
% 28.75/19.28 tff(32365,plain,
% 28.75/19.28 (~v139(constB129)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32364, 27691, 32361])).
% 28.75/19.28 tff(32366,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB129)) | (~v88(constB129, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB129)) | (~v88(constB129, 2)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32367,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB129)) | (~v88(constB129, 2)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32368,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB129)) | (~v88(constB129, 2))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32367, 32366])).
% 28.75/19.28 tff(32369,plain,
% 28.75/19.28 (~v140(constB129)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32368, 27702, 32361])).
% 28.75/19.28 tff(32370,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB129) | v140(constB129) | (~v168(constB129)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB129) | v140(constB129) | (~v168(constB129)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32371,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB129) | v140(constB129) | (~v168(constB129)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32372,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB129) | v140(constB129) | (~v168(constB129))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32371, 32370])).
% 28.75/19.28 tff(32373,plain,
% 28.75/19.28 (~v168(constB129)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32372, 27142, 32369, 32365])).
% 28.75/19.28 tff(32374,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB129, 1)) | v90(constB129, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB129, 1)) | v90(constB129, 1))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32375,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB129, 1)) | v90(constB129, 1))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32376,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB129, 1)) | v90(constB129, 1)),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32375, 32374])).
% 28.75/19.28 tff(32377,plain,
% 28.75/19.28 (~v88(constB129, 1)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32376, 27717, 19323])).
% 28.75/19.28 tff(32378,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB129, 0)) | v90(constB129, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB129, 0)) | v90(constB129, 0))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32379,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB129, 0)) | v90(constB129, 0))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32380,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB129, 0)) | v90(constB129, 0)),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32379, 32378])).
% 28.75/19.28 tff(32381,plain,
% 28.75/19.28 (~v88(constB129, 0)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32380, 26990, 19333])).
% 28.75/19.28 tff(32382,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB129, 1) | (~v88(constB129, 2)) | v88(constB129, 0) | v146(constB129))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB129, 1) | (~v88(constB129, 2)) | v88(constB129, 0) | v146(constB129))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32383,plain,
% 28.75/19.28 (((~v88(constB129, 2)) | v88(constB129, 1) | v88(constB129, 0) | v146(constB129)) <=> (v88(constB129, 1) | (~v88(constB129, 2)) | v88(constB129, 0) | v146(constB129))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32384,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB129, 2)) | v88(constB129, 1) | v88(constB129, 0) | v146(constB129))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB129, 1) | (~v88(constB129, 2)) | v88(constB129, 0) | v146(constB129)))),
% 28.75/19.28 inference(monotonicity,[status(thm)],[32383])).
% 28.75/19.28 tff(32385,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB129, 2)) | v88(constB129, 1) | v88(constB129, 0) | v146(constB129))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB129, 1) | (~v88(constB129, 2)) | v88(constB129, 0) | v146(constB129))),
% 28.75/19.28 inference(transitivity,[status(thm)],[32384, 32382])).
% 28.75/19.28 tff(32386,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB129, 2)) | v88(constB129, 1) | v88(constB129, 0) | v146(constB129))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32387,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB129, 1) | (~v88(constB129, 2)) | v88(constB129, 0) | v146(constB129)),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32386, 32385])).
% 28.75/19.28 tff(32388,plain,
% 28.75/19.28 (v146(constB129)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32387, 27735, 32361, 32381, 32377])).
% 28.75/19.28 tff(32389,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB129) | (~v146(constB129)))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB129) | (~v146(constB129)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32390,plain,
% 28.75/19.28 (((~v146(constB129)) | v145(constB129)) <=> (v145(constB129) | (~v146(constB129)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32391,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB129)) | v145(constB129))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB129) | (~v146(constB129))))),
% 28.75/19.28 inference(monotonicity,[status(thm)],[32390])).
% 28.75/19.28 tff(32392,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB129)) | v145(constB129))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB129) | (~v146(constB129)))),
% 28.75/19.28 inference(transitivity,[status(thm)],[32391, 32389])).
% 28.75/19.28 tff(32393,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB129)) | v145(constB129))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32394,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB129) | (~v146(constB129))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32393, 32392])).
% 28.75/19.28 tff(32395,plain,
% 28.75/19.28 (v145(constB129)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32394, 27749, 32388])).
% 28.75/19.28 tff(32396,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB129) | (~v145(constB129)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB129) | (~v145(constB129)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32397,plain,
% 28.75/19.28 (((~v145(constB129)) | v164(constB129)) <=> (v164(constB129) | (~v145(constB129)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32398,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB129)) | v164(constB129))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB129) | (~v145(constB129))))),
% 28.75/19.28 inference(monotonicity,[status(thm)],[32397])).
% 28.75/19.28 tff(32399,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB129)) | v164(constB129))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB129) | (~v145(constB129)))),
% 28.75/19.28 inference(transitivity,[status(thm)],[32398, 32396])).
% 28.75/19.28 tff(32400,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB129)) | v164(constB129))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32401,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB129) | (~v145(constB129))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32400, 32399])).
% 28.75/19.28 tff(32402,plain,
% 28.75/19.28 (v164(constB129)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32401, 27760, 32395])).
% 28.75/19.28 tff(32403,plain,
% 28.75/19.28 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB129)) | v168(constB129) | (~v164(constB129)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB129)) | v168(constB129) | (~v164(constB129)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32404,plain,
% 28.75/19.28 (((~v164(constB129)) | v168(constB129) | (~v161(constB129))) <=> ((~v161(constB129)) | v168(constB129) | (~v164(constB129)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32405,plain,
% 28.75/19.28 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB129)) | v168(constB129) | (~v161(constB129)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB129)) | v168(constB129) | (~v164(constB129))))),
% 28.75/19.28 inference(monotonicity,[status(thm)],[32404])).
% 28.75/19.28 tff(32406,plain,
% 28.75/19.28 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB129)) | v168(constB129) | (~v161(constB129)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB129)) | v168(constB129) | (~v164(constB129)))),
% 28.75/19.28 inference(transitivity,[status(thm)],[32405, 32403])).
% 28.75/19.28 tff(32407,plain,
% 28.75/19.28 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB129)) | v168(constB129) | (~v161(constB129)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32408,plain,
% 28.75/19.28 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB129)) | v168(constB129) | (~v164(constB129))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32407, 32406])).
% 28.75/19.28 tff(32409,plain,
% 28.75/19.28 (~v161(constB129)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32408, 27156, 32402, 32373])).
% 28.75/19.28 tff(32410,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB129) | (~v187(constB129)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB129) | (~v187(constB129)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32411,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB129) | (~v187(constB129)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32412,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB129) | (~v187(constB129))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32411, 32410])).
% 28.75/19.28 tff(32413,plain,
% 28.75/19.28 (~v187(constB129)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32412, 27174, 32409])).
% 28.75/19.28 tff(32414,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB129) | (~v185(constB129)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB129) | (~v185(constB129)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32415,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB129) | (~v185(constB129)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32416,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB129) | (~v185(constB129))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32415, 32414])).
% 28.75/19.28 tff(32417,plain,
% 28.75/19.28 (~v185(constB129)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32416, 27188, 32413])).
% 28.75/19.28 tff(32418,assumption,(v18(constB130)), introduced(assumption)).
% 28.75/19.28 tff(32419,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB130))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32420,plain,
% 28.75/19.28 ($false),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32419, 27200, 32418])).
% 28.75/19.28 tff(32421,plain,(~v18(constB130)), inference(lemma,lemma(discharge,[]))).
% 28.75/19.28 tff(32422,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB130) | (~v1(constB130)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB130) | (~v1(constB130)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32423,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB130) | (~v1(constB130)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32424,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB130) | (~v1(constB130))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32423, 32422])).
% 28.75/19.28 tff(32425,plain,
% 28.75/19.28 (v22(constB130)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32424, 27216, 19396])).
% 28.75/19.28 tff(32426,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB130) | (~v22(constB130)) | (~v19(constB130)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB130) | (~v22(constB130)) | (~v19(constB130)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32427,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB130) | (~v22(constB130)) | (~v19(constB130)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32428,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB130) | (~v22(constB130)) | (~v19(constB130))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32427, 32426])).
% 28.75/19.28 tff(32429,plain,
% 28.75/19.28 (v18(constB130) | (~v19(constB130))),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32428, 27230, 32425])).
% 28.75/19.28 tff(32430,plain,
% 28.75/19.28 (~v19(constB130)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32429, 32421])).
% 28.75/19.28 tff(32431,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB130) | v19(constB130))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB130) | v19(constB130))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32432,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB130) | v19(constB130))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32433,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB130) | v19(constB130)),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32432, 32431])).
% 28.75/19.28 tff(32434,plain,
% 28.75/19.28 (v13(constB130)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32433, 27242, 32430])).
% 28.75/19.28 tff(32435,plain,
% 28.75/19.28 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB129) | (~v13(constB130)) | (~nextState(constB129, constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB129) | (~v13(constB130)) | (~nextState(constB129, constB130)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32436,plain,
% 28.75/19.28 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB129) | (~v13(constB130)) | (~nextState(constB129, constB130)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32437,plain,
% 28.75/19.28 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB129) | (~v13(constB130)) | (~nextState(constB129, constB130))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32436, 32435])).
% 28.75/19.28 tff(32438,plain,
% 28.75/19.28 (v9(constB129) | (~v13(constB130))),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32437, 27259, 17406])).
% 28.75/19.28 tff(32439,plain,
% 28.75/19.28 (v9(constB129)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32438, 32434])).
% 28.75/19.28 tff(32440,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB129) | (~v9(constB129)) | v184(constB129))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB129) | (~v9(constB129)) | v184(constB129))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32441,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB129) | (~v9(constB129)) | v184(constB129))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32442,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB129) | (~v9(constB129)) | v184(constB129)),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32441, 32440])).
% 28.75/19.28 tff(32443,plain,
% 28.75/19.28 ((~v9(constB129)) | v184(constB129)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32442, 27274, 17606])).
% 28.75/19.28 tff(32444,plain,
% 28.75/19.28 (v184(constB129)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32443, 32439])).
% 28.75/19.28 tff(32445,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB129)) | v183(constB129))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB129)) | v183(constB129))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32446,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB129)) | v183(constB129))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32447,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB129)) | v183(constB129)),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32446, 32445])).
% 28.75/19.28 tff(32448,plain,
% 28.75/19.28 (v183(constB129)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32447, 27286, 32444])).
% 28.75/19.28 tff(32449,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB129)) | (~v183(constB129)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB129)) | (~v183(constB129)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32450,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB129)) | (~v183(constB129)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32451,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB129)) | (~v183(constB129))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32450, 32449])).
% 28.75/19.28 tff(32452,plain,
% 28.75/19.28 (~v181(constB129)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32451, 27300, 32448])).
% 28.75/19.28 tff(32453,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB129) | v185(constB129) | (~v178(constB129)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB129) | v185(constB129) | (~v178(constB129)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32454,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB129) | v185(constB129) | (~v178(constB129)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32455,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB129) | v185(constB129) | (~v178(constB129))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32454, 32453])).
% 28.75/19.28 tff(32456,plain,
% 28.75/19.28 (v185(constB129) | (~v178(constB129))),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32455, 27314, 32452])).
% 28.75/19.28 tff(32457,plain,
% 28.75/19.28 (~v178(constB129)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32456, 32417])).
% 28.75/19.28 tff(32458,plain,
% 28.75/19.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB129, constB130)) | v178(constB129) | (~v180(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB129, constB130)) | v178(constB129) | (~v180(constB130)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32459,plain,
% 28.75/19.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB129, constB130)) | v178(constB129) | (~v180(constB130)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32460,plain,
% 28.75/19.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB129, constB130)) | v178(constB129) | (~v180(constB130))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32459, 32458])).
% 28.75/19.28 tff(32461,plain,
% 28.75/19.28 (v178(constB129) | (~v180(constB130))),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32460, 27329, 17406])).
% 28.75/19.28 tff(32462,plain,
% 28.75/19.28 (~v180(constB130)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32461, 32457])).
% 28.75/19.28 tff(32463,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB130) | (~v181(constB130)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB130) | (~v181(constB130)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32464,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB130) | (~v181(constB130)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32465,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB130) | (~v181(constB130))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32464, 32463])).
% 28.75/19.28 tff(32466,plain,
% 28.75/19.28 (~v181(constB130)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32465, 27344, 32462])).
% 28.75/19.28 tff(32467,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB130)) | (~v184(constB130)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB130)) | (~v184(constB130)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32468,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB130)) | (~v184(constB130)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32469,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB130)) | (~v184(constB130))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32468, 32467])).
% 28.75/19.28 tff(32470,plain,
% 28.75/19.28 (~v184(constB130)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32469, 59, 19396])).
% 28.75/19.28 tff(32471,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB130) | (~v187(constB130)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB130) | (~v187(constB130)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32472,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB130) | (~v187(constB130)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32473,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB130) | (~v187(constB130))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32472, 32471])).
% 28.75/19.28 tff(32474,plain,
% 28.75/19.28 (~v187(constB130)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32473, 27362, 32470])).
% 28.75/19.28 tff(32475,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB130) | (~v185(constB130)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB130) | (~v185(constB130)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32476,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB130) | (~v185(constB130)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32477,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB130) | (~v185(constB130))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32476, 32475])).
% 28.75/19.28 tff(32478,plain,
% 28.75/19.28 (~v185(constB130)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32477, 27188, 32474])).
% 28.75/19.28 tff(32479,plain,
% 28.75/19.28 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB130) | v185(constB130) | (~v178(constB130)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB130) | v185(constB130) | (~v178(constB130)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32480,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB130) | v185(constB130) | (~v178(constB130)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32481,plain,
% 28.75/19.28 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB130) | v185(constB130) | (~v178(constB130))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32480, 32479])).
% 28.75/19.28 tff(32482,plain,
% 28.75/19.28 (v181(constB130) | (~v178(constB130))),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32481, 27314, 32478])).
% 28.75/19.28 tff(32483,plain,
% 28.75/19.28 (~v178(constB130)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32482, 32466])).
% 28.75/19.28 tff(32484,plain,
% 28.75/19.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB130, constB131)) | v178(constB130) | (~v180(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB130, constB131)) | v178(constB130) | (~v180(constB131)))),
% 28.75/19.28 inference(rewrite,[status(thm)],[])).
% 28.75/19.28 tff(32485,plain,
% 28.75/19.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB130, constB131)) | v178(constB130) | (~v180(constB131)))),
% 28.75/19.28 inference(quant_inst,[status(thm)],[])).
% 28.75/19.28 tff(32486,plain,
% 28.75/19.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB130, constB131)) | v178(constB130) | (~v180(constB131))),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[32485, 32484])).
% 28.75/19.28 tff(32487,plain,
% 28.75/19.28 (v178(constB130) | (~v180(constB131))),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32486, 27329, 17365])).
% 28.75/19.28 tff(32488,plain,
% 28.75/19.28 (~v180(constB131)),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32487, 32483])).
% 28.75/19.28 tff(32489,plain,
% 28.75/19.28 ($false),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[32488, 32357])).
% 28.75/19.28 tff(32490,plain,(~(constB131 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.75/19.28 tff(32491,assumption,(constB184 = sK_VarCurr), introduced(assumption)).
% 28.75/19.28 tff(32492,plain,
% 28.75/19.28 (v1(constB184) <=> v1(sK_VarCurr)),
% 28.75/19.28 inference(monotonicity,[status(thm)],[32491])).
% 28.75/19.28 tff(32493,plain,
% 28.75/19.28 (v1(sK_VarCurr) <=> v1(constB184)),
% 28.75/19.28 inference(symmetry,[status(thm)],[32492])).
% 28.75/19.28 tff(32494,plain,
% 28.75/19.28 ((~v1(sK_VarCurr)) <=> (~v1(constB184))),
% 28.75/19.28 inference(monotonicity,[status(thm)],[32493])).
% 28.75/19.28 tff(32495,plain,
% 28.75/19.28 (~v1(constB184)),
% 28.75/19.28 inference(modus_ponens,[status(thm)],[63, 32494])).
% 28.75/19.28 tff(32496,plain,
% 28.75/19.28 ($false),
% 28.75/19.28 inference(unit_resolution,[status(thm)],[25371, 32495])).
% 28.75/19.29 tff(32497,plain,(~(constB184 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.75/19.29 tff(32498,assumption,(constB128 = sK_VarCurr), introduced(assumption)).
% 28.75/19.29 tff(32499,plain,
% 28.75/19.29 (v1(constB128) <=> v1(sK_VarCurr)),
% 28.75/19.29 inference(monotonicity,[status(thm)],[32498])).
% 28.75/19.29 tff(32500,plain,
% 28.75/19.29 (v1(sK_VarCurr) <=> v1(constB128)),
% 28.75/19.29 inference(symmetry,[status(thm)],[32499])).
% 28.75/19.29 tff(32501,plain,
% 28.75/19.29 ((~v1(sK_VarCurr)) <=> (~v1(constB128))),
% 28.75/19.29 inference(monotonicity,[status(thm)],[32500])).
% 28.75/19.29 tff(32502,plain,
% 28.75/19.29 (~v1(constB128)),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[63, 32501])).
% 28.75/19.29 tff(32503,plain,
% 28.75/19.29 ($false),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[19271, 32502])).
% 28.75/19.29 tff(32504,plain,(~(constB128 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.75/19.29 tff(32505,assumption,(constB27 = sK_VarCurr), introduced(assumption)).
% 28.75/19.29 tff(32506,plain,
% 28.75/19.29 (v180(constB27) <=> v180(sK_VarCurr)),
% 28.75/19.29 inference(monotonicity,[status(thm)],[32505])).
% 28.75/19.29 tff(32507,plain,
% 28.75/19.29 (v180(sK_VarCurr) <=> v180(constB27)),
% 28.75/19.29 inference(symmetry,[status(thm)],[32506])).
% 28.75/19.29 tff(32508,plain,
% 28.75/19.29 (v180(constB27)),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[86, 32507])).
% 28.75/19.29 tff(32509,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB25, 0)) | v90(constB25, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB25, 0)) | v90(constB25, 0))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32510,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB25, 0)) | v90(constB25, 0))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32511,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB25, 0)) | v90(constB25, 0)),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32510, 32509])).
% 28.75/19.29 tff(32512,plain,
% 28.75/19.29 (~v88(constB25, 0)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32511, 26990, 3328])).
% 28.75/19.29 tff(32513,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB25, 2)) | v88(constB25, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB25, 2)) | v88(constB25, 2))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32514,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB25, 2)) | v88(constB25, 2))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32515,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB25, 2)) | v88(constB25, 2)),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32514, 32513])).
% 28.75/19.29 tff(32516,plain,
% 28.75/19.29 (v88(constB25, 2)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32515, 27680, 3250])).
% 28.75/19.29 tff(32517,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB25, 1)) | v88(constB25, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB25, 1)) | v88(constB25, 1))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32518,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB25, 1)) | v88(constB25, 1))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32519,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB25, 1)) | v88(constB25, 1)),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32518, 32517])).
% 28.75/19.29 tff(32520,plain,
% 28.75/19.29 (v88(constB25, 1)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32519, 26945, 3215])).
% 28.75/19.29 tff(32521,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB25, 0) | (~v88(constB25, 2)) | (~v88(constB25, 1)) | v144(constB25))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB25, 0) | (~v88(constB25, 2)) | (~v88(constB25, 1)) | v144(constB25))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32522,plain,
% 28.75/19.29 (((~v88(constB25, 2)) | (~v88(constB25, 1)) | v88(constB25, 0) | v144(constB25)) <=> (v88(constB25, 0) | (~v88(constB25, 2)) | (~v88(constB25, 1)) | v144(constB25))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32523,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB25, 2)) | (~v88(constB25, 1)) | v88(constB25, 0) | v144(constB25))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB25, 0) | (~v88(constB25, 2)) | (~v88(constB25, 1)) | v144(constB25)))),
% 28.75/19.29 inference(monotonicity,[status(thm)],[32522])).
% 28.75/19.29 tff(32524,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB25, 2)) | (~v88(constB25, 1)) | v88(constB25, 0) | v144(constB25))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB25, 0) | (~v88(constB25, 2)) | (~v88(constB25, 1)) | v144(constB25))),
% 28.75/19.29 inference(transitivity,[status(thm)],[32523, 32521])).
% 28.75/19.29 tff(32525,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB25, 2)) | (~v88(constB25, 1)) | v88(constB25, 0) | v144(constB25))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32526,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB25, 0) | (~v88(constB25, 2)) | (~v88(constB25, 1)) | v144(constB25)),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32525, 32524])).
% 28.75/19.29 tff(32527,plain,
% 28.75/19.29 (v144(constB25)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32526, 28458, 32520, 32516, 32512])).
% 28.75/19.29 tff(32528,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB25)) | v142(constB25))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB25)) | v142(constB25))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32529,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB25)) | v142(constB25))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32530,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB25)) | v142(constB25)),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32529, 32528])).
% 28.75/19.29 tff(32531,plain,
% 28.75/19.29 (v142(constB25)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32530, 28472, 32527])).
% 28.75/19.29 tff(32532,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB25)) | v165(constB25))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB25)) | v165(constB25))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32533,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB25)) | v165(constB25))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32534,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB25)) | v165(constB25)),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32533, 32532])).
% 28.75/19.29 tff(32535,plain,
% 28.75/19.29 (v165(constB25)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32534, 27075, 32531])).
% 28.75/19.29 tff(32536,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB25) | (~v165(constB25)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB25) | (~v165(constB25)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32537,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB25) | (~v165(constB25)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32538,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB25) | (~v165(constB25))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32537, 32536])).
% 28.75/19.29 tff(32539,plain,
% 28.75/19.29 (v164(constB25)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32538, 27089, 32535])).
% 28.75/19.29 tff(32540,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB25)) | (~v88(constB25, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB25)) | (~v88(constB25, 1)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32541,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB25)) | (~v88(constB25, 1)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32542,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB25)) | (~v88(constB25, 1))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32541, 32540])).
% 28.75/19.29 tff(32543,plain,
% 28.75/19.29 (~v139(constB25)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32542, 27117, 32520])).
% 28.75/19.29 tff(32544,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB25)) | (~v88(constB25, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB25)) | (~v88(constB25, 1)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32545,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB25)) | (~v88(constB25, 1)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32546,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB25)) | (~v88(constB25, 1))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32545, 32544])).
% 28.75/19.29 tff(32547,plain,
% 28.75/19.29 (~v140(constB25)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32546, 27128, 32520])).
% 28.75/19.29 tff(32548,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB25) | v140(constB25) | (~v168(constB25)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB25) | v140(constB25) | (~v168(constB25)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32549,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB25) | v140(constB25) | (~v168(constB25)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32550,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB25) | v140(constB25) | (~v168(constB25))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32549, 32548])).
% 28.75/19.29 tff(32551,plain,
% 28.75/19.29 (~v168(constB25)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32550, 27142, 32547, 32543])).
% 28.75/19.29 tff(32552,plain,
% 28.75/19.29 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB25)) | (~v164(constB25)) | v168(constB25))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB25)) | (~v164(constB25)) | v168(constB25))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32553,plain,
% 28.75/19.29 (((~v164(constB25)) | v168(constB25) | (~v161(constB25))) <=> ((~v161(constB25)) | (~v164(constB25)) | v168(constB25))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32554,plain,
% 28.75/19.29 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB25)) | v168(constB25) | (~v161(constB25)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB25)) | (~v164(constB25)) | v168(constB25)))),
% 28.75/19.29 inference(monotonicity,[status(thm)],[32553])).
% 28.75/19.29 tff(32555,plain,
% 28.75/19.29 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB25)) | v168(constB25) | (~v161(constB25)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB25)) | (~v164(constB25)) | v168(constB25))),
% 28.75/19.29 inference(transitivity,[status(thm)],[32554, 32552])).
% 28.75/19.29 tff(32556,plain,
% 28.75/19.29 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB25)) | v168(constB25) | (~v161(constB25)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32557,plain,
% 28.75/19.29 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB25)) | (~v164(constB25)) | v168(constB25)),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32556, 32555])).
% 28.75/19.29 tff(32558,plain,
% 28.75/19.29 ((~v161(constB25)) | (~v164(constB25))),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32557, 27156, 32551])).
% 28.75/19.29 tff(32559,plain,
% 28.75/19.29 (~v161(constB25)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32558, 32539])).
% 28.75/19.29 tff(32560,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB25) | (~v187(constB25)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB25) | (~v187(constB25)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32561,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB25) | (~v187(constB25)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32562,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB25) | (~v187(constB25))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32561, 32560])).
% 28.75/19.29 tff(32563,plain,
% 28.75/19.29 (~v187(constB25)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32562, 27174, 32559])).
% 28.75/19.29 tff(32564,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB25) | (~v185(constB25)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB25) | (~v185(constB25)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32565,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB25) | (~v185(constB25)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32566,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB25) | (~v185(constB25))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32565, 32564])).
% 28.75/19.29 tff(32567,plain,
% 28.75/19.29 (~v185(constB25)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32566, 27188, 32563])).
% 28.75/19.29 tff(32568,assumption,(v18(constB26)), introduced(assumption)).
% 28.75/19.29 tff(32569,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB26))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32570,plain,
% 28.75/19.29 ($false),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32569, 27200, 32568])).
% 28.75/19.29 tff(32571,plain,(~v18(constB26)), inference(lemma,lemma(discharge,[]))).
% 28.75/19.29 tff(32572,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB26) | (~v1(constB26)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB26) | (~v1(constB26)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32573,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB26) | (~v1(constB26)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32574,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB26) | (~v1(constB26))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32573, 32572])).
% 28.75/19.29 tff(32575,plain,
% 28.75/19.29 (v22(constB26)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32574, 27216, 3455])).
% 28.75/19.29 tff(32576,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB26) | (~v22(constB26)) | (~v19(constB26)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB26) | (~v22(constB26)) | (~v19(constB26)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32577,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB26) | (~v22(constB26)) | (~v19(constB26)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32578,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB26) | (~v22(constB26)) | (~v19(constB26))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32577, 32576])).
% 28.75/19.29 tff(32579,plain,
% 28.75/19.29 (v18(constB26) | (~v19(constB26))),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32578, 27230, 32575])).
% 28.75/19.29 tff(32580,plain,
% 28.75/19.29 (~v19(constB26)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32579, 32571])).
% 28.75/19.29 tff(32581,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB26) | v19(constB26))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB26) | v19(constB26))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32582,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB26) | v19(constB26))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32583,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB26) | v19(constB26)),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32582, 32581])).
% 28.75/19.29 tff(32584,plain,
% 28.75/19.29 (v13(constB26)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32583, 27242, 32580])).
% 28.75/19.29 tff(32585,plain,
% 28.75/19.29 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB25) | (~v13(constB26)) | (~nextState(constB25, constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB25) | (~v13(constB26)) | (~nextState(constB25, constB26)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32586,plain,
% 28.75/19.29 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB25) | (~v13(constB26)) | (~nextState(constB25, constB26)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32587,plain,
% 28.75/19.29 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB25) | (~v13(constB26)) | (~nextState(constB25, constB26))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32586, 32585])).
% 28.75/19.29 tff(32588,plain,
% 28.75/19.29 (v9(constB25) | (~v13(constB26))),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32587, 27259, 3289])).
% 28.75/19.29 tff(32589,plain,
% 28.75/19.29 (v9(constB25)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32588, 32584])).
% 28.75/19.29 tff(32590,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB25) | (~v9(constB25)) | v184(constB25))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB25) | (~v9(constB25)) | v184(constB25))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32591,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB25) | (~v9(constB25)) | v184(constB25))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32592,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB25) | (~v9(constB25)) | v184(constB25)),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32591, 32590])).
% 28.75/19.29 tff(32593,plain,
% 28.75/19.29 ((~v9(constB25)) | v184(constB25)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32592, 27274, 3191])).
% 28.75/19.29 tff(32594,plain,
% 28.75/19.29 (v184(constB25)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32593, 32589])).
% 28.75/19.29 tff(32595,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB25) | (~v184(constB25)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB25) | (~v184(constB25)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32596,plain,
% 28.75/19.29 (((~v184(constB25)) | v183(constB25)) <=> (v183(constB25) | (~v184(constB25)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32597,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB25)) | v183(constB25))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB25) | (~v184(constB25))))),
% 28.75/19.29 inference(monotonicity,[status(thm)],[32596])).
% 28.75/19.29 tff(32598,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB25)) | v183(constB25))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB25) | (~v184(constB25)))),
% 28.75/19.29 inference(transitivity,[status(thm)],[32597, 32595])).
% 28.75/19.29 tff(32599,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB25)) | v183(constB25))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32600,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB25) | (~v184(constB25))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32599, 32598])).
% 28.75/19.29 tff(32601,plain,
% 28.75/19.29 (v183(constB25)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32600, 27286, 32594])).
% 28.75/19.29 tff(32602,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB25)) | (~v183(constB25)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB25)) | (~v183(constB25)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32603,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB25)) | (~v183(constB25)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32604,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB25)) | (~v183(constB25))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32603, 32602])).
% 28.75/19.29 tff(32605,plain,
% 28.75/19.29 (~v181(constB25)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32604, 27300, 32601])).
% 28.75/19.29 tff(32606,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB25) | v185(constB25) | (~v178(constB25)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB25) | v185(constB25) | (~v178(constB25)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32607,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB25) | v185(constB25) | (~v178(constB25)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32608,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB25) | v185(constB25) | (~v178(constB25))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32607, 32606])).
% 28.75/19.29 tff(32609,plain,
% 28.75/19.29 (v185(constB25) | (~v178(constB25))),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32608, 27314, 32605])).
% 28.75/19.29 tff(32610,plain,
% 28.75/19.29 (~v178(constB25)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32609, 32567])).
% 28.75/19.29 tff(32611,plain,
% 28.75/19.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB25, constB26)) | v178(constB25) | (~v180(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB25, constB26)) | v178(constB25) | (~v180(constB26)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32612,plain,
% 28.75/19.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB25, constB26)) | v178(constB25) | (~v180(constB26)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32613,plain,
% 28.75/19.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB25, constB26)) | v178(constB25) | (~v180(constB26))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32612, 32611])).
% 28.75/19.29 tff(32614,plain,
% 28.75/19.29 (v178(constB25) | (~v180(constB26))),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32613, 27329, 3289])).
% 28.75/19.29 tff(32615,plain,
% 28.75/19.29 (~v180(constB26)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32614, 32610])).
% 28.75/19.29 tff(32616,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB26) | (~v181(constB26)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB26) | (~v181(constB26)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32617,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB26) | (~v181(constB26)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32618,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB26) | (~v181(constB26))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32617, 32616])).
% 28.75/19.29 tff(32619,plain,
% 28.75/19.29 (~v181(constB26)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32618, 27344, 32615])).
% 28.75/19.29 tff(32620,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB26)) | (~v184(constB26)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB26)) | (~v184(constB26)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32621,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB26)) | (~v184(constB26)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32622,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB26)) | (~v184(constB26))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32621, 32620])).
% 28.75/19.29 tff(32623,plain,
% 28.75/19.29 (~v184(constB26)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32622, 59, 3455])).
% 28.75/19.29 tff(32624,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB26) | (~v187(constB26)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB26) | (~v187(constB26)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32625,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB26) | (~v187(constB26)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32626,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB26) | (~v187(constB26))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32625, 32624])).
% 28.75/19.29 tff(32627,plain,
% 28.75/19.29 (~v187(constB26)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32626, 27362, 32623])).
% 28.75/19.29 tff(32628,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB26) | (~v185(constB26)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB26) | (~v185(constB26)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32629,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB26) | (~v185(constB26)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32630,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB26) | (~v185(constB26))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32629, 32628])).
% 28.75/19.29 tff(32631,plain,
% 28.75/19.29 (~v185(constB26)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32630, 27188, 32627])).
% 28.75/19.29 tff(32632,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB26) | v185(constB26) | (~v178(constB26)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB26) | v185(constB26) | (~v178(constB26)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32633,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB26) | v185(constB26) | (~v178(constB26)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32634,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB26) | v185(constB26) | (~v178(constB26))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32633, 32632])).
% 28.75/19.29 tff(32635,plain,
% 28.75/19.29 (v181(constB26) | (~v178(constB26))),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32634, 27314, 32631])).
% 28.75/19.29 tff(32636,plain,
% 28.75/19.29 (~v178(constB26)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32635, 32619])).
% 28.75/19.29 tff(32637,plain,
% 28.75/19.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB26, constB27)) | v178(constB26) | (~v180(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB26, constB27)) | v178(constB26) | (~v180(constB27)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32638,plain,
% 28.75/19.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB26, constB27)) | v178(constB26) | (~v180(constB27)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32639,plain,
% 28.75/19.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB26, constB27)) | v178(constB26) | (~v180(constB27))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32638, 32637])).
% 28.75/19.29 tff(32640,plain,
% 28.75/19.29 (v178(constB26) | (~v180(constB27))),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32639, 27329, 3480])).
% 28.75/19.29 tff(32641,plain,
% 28.75/19.29 (~v180(constB27)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32640, 32636])).
% 28.75/19.29 tff(32642,plain,
% 28.75/19.29 ($false),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32641, 32508])).
% 28.75/19.29 tff(32643,plain,(~(constB27 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.75/19.29 tff(32644,assumption,(constB155 = sK_VarCurr), introduced(assumption)).
% 28.75/19.29 tff(32645,plain,
% 28.75/19.29 (v180(constB155) <=> v180(sK_VarCurr)),
% 28.75/19.29 inference(monotonicity,[status(thm)],[32644])).
% 28.75/19.29 tff(32646,plain,
% 28.75/19.29 (v180(sK_VarCurr) <=> v180(constB155)),
% 28.75/19.29 inference(symmetry,[status(thm)],[32645])).
% 28.75/19.29 tff(32647,plain,
% 28.75/19.29 (v180(constB155)),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[86, 32646])).
% 28.75/19.29 tff(32648,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB153, 2)) | v88(constB153, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB153, 2)) | v88(constB153, 2))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32649,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB153, 2)) | v88(constB153, 2))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32650,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB153, 2)) | v88(constB153, 2)),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32649, 32648])).
% 28.75/19.29 tff(32651,plain,
% 28.75/19.29 (v88(constB153, 2)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32650, 27680, 22092])).
% 28.75/19.29 tff(32652,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB153)) | (~v88(constB153, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB153)) | (~v88(constB153, 2)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32653,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB153)) | (~v88(constB153, 2)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32654,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB153)) | (~v88(constB153, 2))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32653, 32652])).
% 28.75/19.29 tff(32655,plain,
% 28.75/19.29 (~v139(constB153)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32654, 27691, 32651])).
% 28.75/19.29 tff(32656,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB153)) | (~v88(constB153, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB153)) | (~v88(constB153, 2)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32657,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB153)) | (~v88(constB153, 2)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32658,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB153)) | (~v88(constB153, 2))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32657, 32656])).
% 28.75/19.29 tff(32659,plain,
% 28.75/19.29 (~v140(constB153)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32658, 27702, 32651])).
% 28.75/19.29 tff(32660,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB153) | v140(constB153) | (~v168(constB153)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB153) | v140(constB153) | (~v168(constB153)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32661,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB153) | v140(constB153) | (~v168(constB153)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32662,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB153) | v140(constB153) | (~v168(constB153))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32661, 32660])).
% 28.75/19.29 tff(32663,plain,
% 28.75/19.29 (~v168(constB153)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32662, 27142, 32659, 32655])).
% 28.75/19.29 tff(32664,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB153, 1)) | v90(constB153, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB153, 1)) | v90(constB153, 1))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32665,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB153, 1)) | v90(constB153, 1))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32666,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB153, 1)) | v90(constB153, 1)),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32665, 32664])).
% 28.75/19.29 tff(32667,plain,
% 28.75/19.29 (~v88(constB153, 1)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32666, 27717, 22134])).
% 28.75/19.29 tff(32668,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB153, 0)) | v90(constB153, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB153, 0)) | v90(constB153, 0))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32669,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB153, 0)) | v90(constB153, 0))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32670,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB153, 0)) | v90(constB153, 0)),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32669, 32668])).
% 28.75/19.29 tff(32671,plain,
% 28.75/19.29 (~v88(constB153, 0)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32670, 26990, 22168])).
% 28.75/19.29 tff(32672,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB153, 0) | (~v88(constB153, 2)) | v88(constB153, 1) | v146(constB153))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB153, 0) | (~v88(constB153, 2)) | v88(constB153, 1) | v146(constB153))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32673,plain,
% 28.75/19.29 (((~v88(constB153, 2)) | v88(constB153, 1) | v88(constB153, 0) | v146(constB153)) <=> (v88(constB153, 0) | (~v88(constB153, 2)) | v88(constB153, 1) | v146(constB153))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32674,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB153, 2)) | v88(constB153, 1) | v88(constB153, 0) | v146(constB153))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB153, 0) | (~v88(constB153, 2)) | v88(constB153, 1) | v146(constB153)))),
% 28.75/19.29 inference(monotonicity,[status(thm)],[32673])).
% 28.75/19.29 tff(32675,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB153, 2)) | v88(constB153, 1) | v88(constB153, 0) | v146(constB153))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB153, 0) | (~v88(constB153, 2)) | v88(constB153, 1) | v146(constB153))),
% 28.75/19.29 inference(transitivity,[status(thm)],[32674, 32672])).
% 28.75/19.29 tff(32676,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB153, 2)) | v88(constB153, 1) | v88(constB153, 0) | v146(constB153))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32677,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB153, 0) | (~v88(constB153, 2)) | v88(constB153, 1) | v146(constB153)),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32676, 32675])).
% 28.75/19.29 tff(32678,plain,
% 28.75/19.29 (v146(constB153)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32677, 27735, 32651, 32671, 32667])).
% 28.75/19.29 tff(32679,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB153) | (~v146(constB153)))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB153) | (~v146(constB153)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32680,plain,
% 28.75/19.29 (((~v146(constB153)) | v145(constB153)) <=> (v145(constB153) | (~v146(constB153)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32681,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB153)) | v145(constB153))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB153) | (~v146(constB153))))),
% 28.75/19.29 inference(monotonicity,[status(thm)],[32680])).
% 28.75/19.29 tff(32682,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB153)) | v145(constB153))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB153) | (~v146(constB153)))),
% 28.75/19.29 inference(transitivity,[status(thm)],[32681, 32679])).
% 28.75/19.29 tff(32683,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB153)) | v145(constB153))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32684,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB153) | (~v146(constB153))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32683, 32682])).
% 28.75/19.29 tff(32685,plain,
% 28.75/19.29 (v145(constB153)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32684, 27749, 32678])).
% 28.75/19.29 tff(32686,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB153) | (~v145(constB153)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB153) | (~v145(constB153)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32687,plain,
% 28.75/19.29 (((~v145(constB153)) | v164(constB153)) <=> (v164(constB153) | (~v145(constB153)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32688,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB153)) | v164(constB153))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB153) | (~v145(constB153))))),
% 28.75/19.29 inference(monotonicity,[status(thm)],[32687])).
% 28.75/19.29 tff(32689,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB153)) | v164(constB153))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB153) | (~v145(constB153)))),
% 28.75/19.29 inference(transitivity,[status(thm)],[32688, 32686])).
% 28.75/19.29 tff(32690,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB153)) | v164(constB153))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32691,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB153) | (~v145(constB153))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32690, 32689])).
% 28.75/19.29 tff(32692,plain,
% 28.75/19.29 (v164(constB153)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32691, 27760, 32685])).
% 28.75/19.29 tff(32693,plain,
% 28.75/19.29 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB153)) | v168(constB153) | (~v164(constB153)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB153)) | v168(constB153) | (~v164(constB153)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32694,plain,
% 28.75/19.29 (((~v164(constB153)) | v168(constB153) | (~v161(constB153))) <=> ((~v161(constB153)) | v168(constB153) | (~v164(constB153)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32695,plain,
% 28.75/19.29 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB153)) | v168(constB153) | (~v161(constB153)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB153)) | v168(constB153) | (~v164(constB153))))),
% 28.75/19.29 inference(monotonicity,[status(thm)],[32694])).
% 28.75/19.29 tff(32696,plain,
% 28.75/19.29 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB153)) | v168(constB153) | (~v161(constB153)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB153)) | v168(constB153) | (~v164(constB153)))),
% 28.75/19.29 inference(transitivity,[status(thm)],[32695, 32693])).
% 28.75/19.29 tff(32697,plain,
% 28.75/19.29 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB153)) | v168(constB153) | (~v161(constB153)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32698,plain,
% 28.75/19.29 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB153)) | v168(constB153) | (~v164(constB153))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32697, 32696])).
% 28.75/19.29 tff(32699,plain,
% 28.75/19.29 (~v161(constB153)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32698, 27156, 32692, 32663])).
% 28.75/19.29 tff(32700,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB153) | (~v187(constB153)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB153) | (~v187(constB153)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32701,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB153) | (~v187(constB153)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32702,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB153) | (~v187(constB153))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32701, 32700])).
% 28.75/19.29 tff(32703,plain,
% 28.75/19.29 (~v187(constB153)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32702, 27174, 32699])).
% 28.75/19.29 tff(32704,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB153) | (~v185(constB153)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB153) | (~v185(constB153)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32705,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB153) | (~v185(constB153)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32706,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB153) | (~v185(constB153))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32705, 32704])).
% 28.75/19.29 tff(32707,plain,
% 28.75/19.29 (~v185(constB153)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32706, 27188, 32703])).
% 28.75/19.29 tff(32708,assumption,(v18(constB154)), introduced(assumption)).
% 28.75/19.29 tff(32709,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB154))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32710,plain,
% 28.75/19.29 ($false),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32709, 27200, 32708])).
% 28.75/19.29 tff(32711,plain,(~v18(constB154)), inference(lemma,lemma(discharge,[]))).
% 28.75/19.29 tff(32712,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB154) | (~v1(constB154)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB154) | (~v1(constB154)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32713,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB154) | (~v1(constB154)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32714,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB154) | (~v1(constB154))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32713, 32712])).
% 28.75/19.29 tff(32715,plain,
% 28.75/19.29 (v22(constB154)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32714, 27216, 22229])).
% 28.75/19.29 tff(32716,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB154) | (~v22(constB154)) | (~v19(constB154)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB154) | (~v22(constB154)) | (~v19(constB154)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32717,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB154) | (~v22(constB154)) | (~v19(constB154)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32718,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB154) | (~v22(constB154)) | (~v19(constB154))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32717, 32716])).
% 28.75/19.29 tff(32719,plain,
% 28.75/19.29 (v18(constB154) | (~v19(constB154))),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32718, 27230, 32715])).
% 28.75/19.29 tff(32720,plain,
% 28.75/19.29 (~v19(constB154)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32719, 32711])).
% 28.75/19.29 tff(32721,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB154) | v19(constB154))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB154) | v19(constB154))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32722,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB154) | v19(constB154))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32723,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB154) | v19(constB154)),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32722, 32721])).
% 28.75/19.29 tff(32724,plain,
% 28.75/19.29 (v13(constB154)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32723, 27242, 32720])).
% 28.75/19.29 tff(32725,plain,
% 28.75/19.29 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB153) | (~v13(constB154)) | (~nextState(constB153, constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB153) | (~v13(constB154)) | (~nextState(constB153, constB154)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32726,plain,
% 28.75/19.29 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB153) | (~v13(constB154)) | (~nextState(constB153, constB154)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32727,plain,
% 28.75/19.29 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB153) | (~v13(constB154)) | (~nextState(constB153, constB154))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32726, 32725])).
% 28.75/19.29 tff(32728,plain,
% 28.75/19.29 (v9(constB153) | (~v13(constB154))),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32727, 27259, 22209])).
% 28.75/19.29 tff(32729,plain,
% 28.75/19.29 (v9(constB153)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32728, 32724])).
% 28.75/19.29 tff(32730,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB153) | (~v9(constB153)) | v184(constB153))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB153) | (~v9(constB153)) | v184(constB153))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32731,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB153) | (~v9(constB153)) | v184(constB153))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32732,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB153) | (~v9(constB153)) | v184(constB153)),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32731, 32730])).
% 28.75/19.29 tff(32733,plain,
% 28.75/19.29 ((~v9(constB153)) | v184(constB153)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32732, 27274, 22068])).
% 28.75/19.29 tff(32734,plain,
% 28.75/19.29 (v184(constB153)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32733, 32729])).
% 28.75/19.29 tff(32735,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB153)) | v183(constB153))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB153)) | v183(constB153))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32736,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB153)) | v183(constB153))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32737,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB153)) | v183(constB153)),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32736, 32735])).
% 28.75/19.29 tff(32738,plain,
% 28.75/19.29 (v183(constB153)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32737, 27286, 32734])).
% 28.75/19.29 tff(32739,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB153)) | (~v183(constB153)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB153)) | (~v183(constB153)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32740,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB153)) | (~v183(constB153)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32741,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB153)) | (~v183(constB153))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32740, 32739])).
% 28.75/19.29 tff(32742,plain,
% 28.75/19.29 (~v181(constB153)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32741, 27300, 32738])).
% 28.75/19.29 tff(32743,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB153) | v185(constB153) | (~v178(constB153)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB153) | v185(constB153) | (~v178(constB153)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32744,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB153) | v185(constB153) | (~v178(constB153)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32745,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB153) | v185(constB153) | (~v178(constB153))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32744, 32743])).
% 28.75/19.29 tff(32746,plain,
% 28.75/19.29 (v185(constB153) | (~v178(constB153))),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32745, 27314, 32742])).
% 28.75/19.29 tff(32747,plain,
% 28.75/19.29 (~v178(constB153)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32746, 32707])).
% 28.75/19.29 tff(32748,plain,
% 28.75/19.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB153, constB154)) | v178(constB153) | (~v180(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB153, constB154)) | v178(constB153) | (~v180(constB154)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32749,plain,
% 28.75/19.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB153, constB154)) | v178(constB153) | (~v180(constB154)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32750,plain,
% 28.75/19.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB153, constB154)) | v178(constB153) | (~v180(constB154))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32749, 32748])).
% 28.75/19.29 tff(32751,plain,
% 28.75/19.29 (v178(constB153) | (~v180(constB154))),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32750, 27329, 22209])).
% 28.75/19.29 tff(32752,plain,
% 28.75/19.29 (~v180(constB154)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32751, 32747])).
% 28.75/19.29 tff(32753,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB154) | (~v181(constB154)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB154) | (~v181(constB154)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32754,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB154) | (~v181(constB154)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32755,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB154) | (~v181(constB154))),
% 28.75/19.29 inference(modus_ponens,[status(thm)],[32754, 32753])).
% 28.75/19.29 tff(32756,plain,
% 28.75/19.29 (~v181(constB154)),
% 28.75/19.29 inference(unit_resolution,[status(thm)],[32755, 27344, 32752])).
% 28.75/19.29 tff(32757,plain,
% 28.75/19.29 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB154)) | (~v184(constB154)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB154)) | (~v184(constB154)))),
% 28.75/19.29 inference(rewrite,[status(thm)],[])).
% 28.75/19.29 tff(32758,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB154)) | (~v184(constB154)))),
% 28.75/19.29 inference(quant_inst,[status(thm)],[])).
% 28.75/19.29 tff(32759,plain,
% 28.75/19.29 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB154)) | (~v184(constB154))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32758, 32757])).
% 28.75/19.30 tff(32760,plain,
% 28.75/19.30 (~v184(constB154)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32759, 59, 22229])).
% 28.75/19.30 tff(32761,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB154) | (~v187(constB154)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB154) | (~v187(constB154)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32762,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB154) | (~v187(constB154)))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32763,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB154) | (~v187(constB154))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32762, 32761])).
% 28.75/19.30 tff(32764,plain,
% 28.75/19.30 (~v187(constB154)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32763, 27362, 32760])).
% 28.75/19.30 tff(32765,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB154) | (~v185(constB154)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB154) | (~v185(constB154)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32766,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB154) | (~v185(constB154)))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32767,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB154) | (~v185(constB154))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32766, 32765])).
% 28.75/19.30 tff(32768,plain,
% 28.75/19.30 (~v185(constB154)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32767, 27188, 32764])).
% 28.75/19.30 tff(32769,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB154) | v185(constB154) | (~v178(constB154)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB154) | v185(constB154) | (~v178(constB154)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32770,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB154) | v185(constB154) | (~v178(constB154)))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32771,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB154) | v185(constB154) | (~v178(constB154))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32770, 32769])).
% 28.75/19.30 tff(32772,plain,
% 28.75/19.30 (v181(constB154) | (~v178(constB154))),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32771, 27314, 32768])).
% 28.75/19.30 tff(32773,plain,
% 28.75/19.30 (~v178(constB154)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32772, 32756])).
% 28.75/19.30 tff(32774,plain,
% 28.75/19.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB154, constB155)) | v178(constB154) | (~v180(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB154, constB155)) | v178(constB154) | (~v180(constB155)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32775,plain,
% 28.75/19.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB154, constB155)) | v178(constB154) | (~v180(constB155)))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32776,plain,
% 28.75/19.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB154, constB155)) | v178(constB154) | (~v180(constB155))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32775, 32774])).
% 28.75/19.30 tff(32777,plain,
% 28.75/19.30 (v178(constB154) | (~v180(constB155))),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32776, 27329, 22271])).
% 28.75/19.30 tff(32778,plain,
% 28.75/19.30 (~v180(constB155)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32777, 32773])).
% 28.75/19.30 tff(32779,plain,
% 28.75/19.30 ($false),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32778, 32647])).
% 28.75/19.30 tff(32780,plain,(~(constB155 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.75/19.30 tff(32781,assumption,(constB100 = sK_VarCurr), introduced(assumption)).
% 28.75/19.30 tff(32782,plain,
% 28.75/19.30 (v1(constB100) <=> v1(sK_VarCurr)),
% 28.75/19.30 inference(monotonicity,[status(thm)],[32781])).
% 28.75/19.30 tff(32783,plain,
% 28.75/19.30 (v1(sK_VarCurr) <=> v1(constB100)),
% 28.75/19.30 inference(symmetry,[status(thm)],[32782])).
% 28.75/19.30 tff(32784,plain,
% 28.75/19.30 ((~v1(sK_VarCurr)) <=> (~v1(constB100))),
% 28.75/19.30 inference(monotonicity,[status(thm)],[32783])).
% 28.75/19.30 tff(32785,plain,
% 28.75/19.30 (~v1(constB100)),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[63, 32784])).
% 28.75/19.30 tff(32786,plain,
% 28.75/19.30 ($false),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[12959, 32785])).
% 28.75/19.30 tff(32787,plain,(~(constB100 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.75/19.30 tff(32788,assumption,(constB90 = sK_VarCurr), introduced(assumption)).
% 28.75/19.30 tff(32789,plain,
% 28.75/19.30 (v1(constB90) <=> v1(sK_VarCurr)),
% 28.75/19.30 inference(monotonicity,[status(thm)],[32788])).
% 28.75/19.30 tff(32790,plain,
% 28.75/19.30 (v1(sK_VarCurr) <=> v1(constB90)),
% 28.75/19.30 inference(symmetry,[status(thm)],[32789])).
% 28.75/19.30 tff(32791,plain,
% 28.75/19.30 ((~v1(sK_VarCurr)) <=> (~v1(constB90))),
% 28.75/19.30 inference(monotonicity,[status(thm)],[32790])).
% 28.75/19.30 tff(32792,plain,
% 28.75/19.30 (~v1(constB90)),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[63, 32791])).
% 28.75/19.30 tff(32793,plain,
% 28.75/19.30 ($false),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[11594, 32792])).
% 28.75/19.30 tff(32794,plain,(~(constB90 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.75/19.30 tff(32795,assumption,(constB149 = sK_VarCurr), introduced(assumption)).
% 28.75/19.30 tff(32796,plain,
% 28.75/19.30 (v86(constB149) <=> v86(sK_VarCurr)),
% 28.75/19.30 inference(monotonicity,[status(thm)],[32795])).
% 28.75/19.30 tff(32797,plain,
% 28.75/19.30 (v86(sK_VarCurr) <=> v86(constB149)),
% 28.75/19.30 inference(symmetry,[status(thm)],[32796])).
% 28.75/19.30 tff(32798,plain,
% 28.75/19.30 ((~v86(sK_VarCurr)) <=> (~v86(constB149))),
% 28.75/19.30 inference(monotonicity,[status(thm)],[32797])).
% 28.75/19.30 tff(32799,plain,
% 28.75/19.30 (~v86(constB149)),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[29494, 32798])).
% 28.75/19.30 tff(32800,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB149, 2)) | v90(constB149, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB149, 2)) | v90(constB149, 2))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32801,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB149, 2)) | v90(constB149, 2))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32802,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB149, 2)) | v90(constB149, 2)),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32801, 32800])).
% 28.75/19.30 tff(32803,plain,
% 28.75/19.30 (~v88(constB149, 2)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32802, 27032, 21673])).
% 28.75/19.30 tff(32804,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB149, 0)) | v90(constB149, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB149, 0)) | v90(constB149, 0))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32805,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB149, 0)) | v90(constB149, 0))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32806,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB149, 0)) | v90(constB149, 0)),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32805, 32804])).
% 28.75/19.30 tff(32807,plain,
% 28.75/19.30 (~v88(constB149, 0)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32806, 26990, 21738])).
% 28.75/19.30 tff(32808,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB149, 1)) | v88(constB149, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB149, 1)) | v88(constB149, 1))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32809,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB149, 1)) | v88(constB149, 1))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32810,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB149, 1)) | v88(constB149, 1)),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32809, 32808])).
% 28.75/19.30 tff(32811,plain,
% 28.75/19.30 (v88(constB149, 1)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32810, 26945, 21704])).
% 28.75/19.30 tff(32812,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB149, 0) | v88(constB149, 2) | (~v88(constB149, 1)) | v143(constB149))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB149, 0) | v88(constB149, 2) | (~v88(constB149, 1)) | v143(constB149))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32813,plain,
% 28.75/19.30 ((v88(constB149, 2) | (~v88(constB149, 1)) | v88(constB149, 0) | v143(constB149)) <=> (v88(constB149, 0) | v88(constB149, 2) | (~v88(constB149, 1)) | v143(constB149))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32814,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB149, 2) | (~v88(constB149, 1)) | v88(constB149, 0) | v143(constB149))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB149, 0) | v88(constB149, 2) | (~v88(constB149, 1)) | v143(constB149)))),
% 28.75/19.30 inference(monotonicity,[status(thm)],[32813])).
% 28.75/19.30 tff(32815,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB149, 2) | (~v88(constB149, 1)) | v88(constB149, 0) | v143(constB149))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB149, 0) | v88(constB149, 2) | (~v88(constB149, 1)) | v143(constB149))),
% 28.75/19.30 inference(transitivity,[status(thm)],[32814, 32812])).
% 28.75/19.30 tff(32816,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB149, 2) | (~v88(constB149, 1)) | v88(constB149, 0) | v143(constB149))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32817,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB149, 0) | v88(constB149, 2) | (~v88(constB149, 1)) | v143(constB149)),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32816, 32815])).
% 28.75/19.30 tff(32818,plain,
% 28.75/19.30 (v143(constB149)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32817, 27047, 32811, 32807, 32803])).
% 28.75/19.30 tff(32819,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB149)) | v142(constB149))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB149)) | v142(constB149))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32820,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB149)) | v142(constB149))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32821,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB149)) | v142(constB149)),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32820, 32819])).
% 28.75/19.30 tff(32822,plain,
% 28.75/19.30 (v142(constB149)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32821, 27064, 32818])).
% 28.75/19.30 tff(32823,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB149)) | v148(constB149))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB149)) | v148(constB149))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32824,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB149)) | v148(constB149))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32825,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB149)) | v148(constB149)),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32824, 32823])).
% 28.75/19.30 tff(32826,plain,
% 28.75/19.30 (v148(constB149)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32825, 29528, 32822])).
% 28.75/19.30 tff(32827,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB149)) | v165(constB149))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB149)) | v165(constB149))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32828,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB149)) | v165(constB149))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32829,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB149)) | v165(constB149)),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32828, 32827])).
% 28.75/19.30 tff(32830,plain,
% 28.75/19.30 (v165(constB149)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32829, 27075, 32822])).
% 28.75/19.30 tff(32831,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB149) | (~v165(constB149)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB149) | (~v165(constB149)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32832,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB149) | (~v165(constB149)))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32833,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB149) | (~v165(constB149))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32832, 32831])).
% 28.75/19.30 tff(32834,plain,
% 28.75/19.30 (v164(constB149)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32833, 27089, 32830])).
% 28.75/19.30 tff(32835,plain,
% 28.75/19.30 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | (v86(constB149) | (~v164(constB149)) | (~v148(constB149)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB149) | (~v164(constB149)) | (~v148(constB149)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32836,plain,
% 28.75/19.30 (((~v148(constB149)) | v86(constB149) | (~v164(constB149))) <=> (v86(constB149) | (~v164(constB149)) | (~v148(constB149)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32837,plain,
% 28.75/19.30 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB149)) | v86(constB149) | (~v164(constB149)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | (v86(constB149) | (~v164(constB149)) | (~v148(constB149))))),
% 28.75/19.30 inference(monotonicity,[status(thm)],[32836])).
% 28.75/19.30 tff(32838,plain,
% 28.75/19.30 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB149)) | v86(constB149) | (~v164(constB149)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB149) | (~v164(constB149)) | (~v148(constB149)))),
% 28.75/19.30 inference(transitivity,[status(thm)],[32837, 32835])).
% 28.75/19.30 tff(32839,plain,
% 28.75/19.30 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB149)) | v86(constB149) | (~v164(constB149)))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32840,plain,
% 28.75/19.30 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB149) | (~v164(constB149)) | (~v148(constB149))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32839, 32838])).
% 28.75/19.30 tff(32841,plain,
% 28.75/19.30 (v86(constB149)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32840, 29550, 32834, 32826])).
% 28.75/19.30 tff(32842,plain,
% 28.75/19.30 ($false),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32841, 32799])).
% 28.75/19.30 tff(32843,plain,(~(constB149 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.75/19.30 tff(32844,assumption,(constB107 = sK_VarCurr), introduced(assumption)).
% 28.75/19.30 tff(32845,plain,
% 28.75/19.30 (v180(constB107) <=> v180(sK_VarCurr)),
% 28.75/19.30 inference(monotonicity,[status(thm)],[32844])).
% 28.75/19.30 tff(32846,plain,
% 28.75/19.30 (v180(sK_VarCurr) <=> v180(constB107)),
% 28.75/19.30 inference(symmetry,[status(thm)],[32845])).
% 28.75/19.30 tff(32847,plain,
% 28.75/19.30 (v180(constB107)),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[86, 32846])).
% 28.75/19.30 tff(32848,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB105, 2)) | v88(constB105, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB105, 2)) | v88(constB105, 2))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32849,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB105, 2)) | v88(constB105, 2))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32850,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB105, 2)) | v88(constB105, 2)),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32849, 32848])).
% 28.75/19.30 tff(32851,plain,
% 28.75/19.30 (v88(constB105, 2)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32850, 27680, 13418])).
% 28.75/19.30 tff(32852,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB105)) | (~v88(constB105, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB105)) | (~v88(constB105, 2)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32853,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB105)) | (~v88(constB105, 2)))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32854,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB105)) | (~v88(constB105, 2))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32853, 32852])).
% 28.75/19.30 tff(32855,plain,
% 28.75/19.30 (~v139(constB105)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32854, 27691, 32851])).
% 28.75/19.30 tff(32856,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB105)) | (~v88(constB105, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB105)) | (~v88(constB105, 2)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32857,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB105)) | (~v88(constB105, 2)))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32858,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB105)) | (~v88(constB105, 2))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32857, 32856])).
% 28.75/19.30 tff(32859,plain,
% 28.75/19.30 (~v140(constB105)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32858, 27702, 32851])).
% 28.75/19.30 tff(32860,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB105) | v140(constB105) | (~v168(constB105)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB105) | v140(constB105) | (~v168(constB105)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32861,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB105) | v140(constB105) | (~v168(constB105)))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32862,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB105) | v140(constB105) | (~v168(constB105))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32861, 32860])).
% 28.75/19.30 tff(32863,plain,
% 28.75/19.30 (~v168(constB105)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32862, 27142, 32859, 32855])).
% 28.75/19.30 tff(32864,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB105, 1)) | v90(constB105, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB105, 1)) | v90(constB105, 1))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32865,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB105, 1)) | v90(constB105, 1))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32866,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB105, 1)) | v90(constB105, 1)),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32865, 32864])).
% 28.75/19.30 tff(32867,plain,
% 28.75/19.30 (~v88(constB105, 1)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32866, 27717, 13452])).
% 28.75/19.30 tff(32868,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB105, 0)) | v90(constB105, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB105, 0)) | v90(constB105, 0))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32869,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB105, 0)) | v90(constB105, 0))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32870,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB105, 0)) | v90(constB105, 0)),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32869, 32868])).
% 28.75/19.30 tff(32871,plain,
% 28.75/19.30 (~v88(constB105, 0)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32870, 26990, 13486])).
% 28.75/19.30 tff(32872,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB105, 2)) | v146(constB105) | v88(constB105, 1) | v88(constB105, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (~v88(constB105, 2)) | v146(constB105) | v88(constB105, 1) | v88(constB105, 0))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32873,plain,
% 28.75/19.30 (((~v88(constB105, 2)) | v88(constB105, 1) | v88(constB105, 0) | v146(constB105)) <=> ((~v88(constB105, 2)) | v146(constB105) | v88(constB105, 1) | v88(constB105, 0))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32874,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB105, 2)) | v88(constB105, 1) | v88(constB105, 0) | v146(constB105))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB105, 2)) | v146(constB105) | v88(constB105, 1) | v88(constB105, 0)))),
% 28.75/19.30 inference(monotonicity,[status(thm)],[32873])).
% 28.75/19.30 tff(32875,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB105, 2)) | v88(constB105, 1) | v88(constB105, 0) | v146(constB105))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (~v88(constB105, 2)) | v146(constB105) | v88(constB105, 1) | v88(constB105, 0))),
% 28.75/19.30 inference(transitivity,[status(thm)],[32874, 32872])).
% 28.75/19.30 tff(32876,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB105, 2)) | v88(constB105, 1) | v88(constB105, 0) | v146(constB105))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32877,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (~v88(constB105, 2)) | v146(constB105) | v88(constB105, 1) | v88(constB105, 0)),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32876, 32875])).
% 28.75/19.30 tff(32878,plain,
% 28.75/19.30 (v146(constB105)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32877, 27735, 32851, 32871, 32867])).
% 28.75/19.30 tff(32879,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB105)) | v145(constB105))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB105)) | v145(constB105))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32880,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB105)) | v145(constB105))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32881,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB105)) | v145(constB105)),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32880, 32879])).
% 28.75/19.30 tff(32882,plain,
% 28.75/19.30 (v145(constB105)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32881, 27749, 32878])).
% 28.75/19.30 tff(32883,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB105) | (~v145(constB105)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB105) | (~v145(constB105)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32884,plain,
% 28.75/19.30 (((~v145(constB105)) | v164(constB105)) <=> (v164(constB105) | (~v145(constB105)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32885,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB105)) | v164(constB105))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB105) | (~v145(constB105))))),
% 28.75/19.30 inference(monotonicity,[status(thm)],[32884])).
% 28.75/19.30 tff(32886,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB105)) | v164(constB105))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB105) | (~v145(constB105)))),
% 28.75/19.30 inference(transitivity,[status(thm)],[32885, 32883])).
% 28.75/19.30 tff(32887,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB105)) | v164(constB105))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32888,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB105) | (~v145(constB105))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32887, 32886])).
% 28.75/19.30 tff(32889,plain,
% 28.75/19.30 (v164(constB105)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32888, 27760, 32882])).
% 28.75/19.30 tff(32890,plain,
% 28.75/19.30 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB105)) | (~v164(constB105)) | v168(constB105))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB105)) | (~v164(constB105)) | v168(constB105))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32891,plain,
% 28.75/19.30 (((~v164(constB105)) | v168(constB105) | (~v161(constB105))) <=> ((~v161(constB105)) | (~v164(constB105)) | v168(constB105))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32892,plain,
% 28.75/19.30 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB105)) | v168(constB105) | (~v161(constB105)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB105)) | (~v164(constB105)) | v168(constB105)))),
% 28.75/19.30 inference(monotonicity,[status(thm)],[32891])).
% 28.75/19.30 tff(32893,plain,
% 28.75/19.30 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB105)) | v168(constB105) | (~v161(constB105)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB105)) | (~v164(constB105)) | v168(constB105))),
% 28.75/19.30 inference(transitivity,[status(thm)],[32892, 32890])).
% 28.75/19.30 tff(32894,plain,
% 28.75/19.30 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB105)) | v168(constB105) | (~v161(constB105)))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32895,plain,
% 28.75/19.30 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB105)) | (~v164(constB105)) | v168(constB105)),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32894, 32893])).
% 28.75/19.30 tff(32896,plain,
% 28.75/19.30 (~v161(constB105)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32895, 27156, 32889, 32863])).
% 28.75/19.30 tff(32897,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB105) | (~v187(constB105)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB105) | (~v187(constB105)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32898,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB105) | (~v187(constB105)))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32899,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB105) | (~v187(constB105))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32898, 32897])).
% 28.75/19.30 tff(32900,plain,
% 28.75/19.30 (~v187(constB105)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32899, 27174, 32896])).
% 28.75/19.30 tff(32901,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB105) | (~v185(constB105)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB105) | (~v185(constB105)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32902,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB105) | (~v185(constB105)))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32903,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB105) | (~v185(constB105))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32902, 32901])).
% 28.75/19.30 tff(32904,plain,
% 28.75/19.30 (~v185(constB105)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32903, 27188, 32900])).
% 28.75/19.30 tff(32905,assumption,(v18(constB106)), introduced(assumption)).
% 28.75/19.30 tff(32906,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB106))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32907,plain,
% 28.75/19.30 ($false),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32906, 27200, 32905])).
% 28.75/19.30 tff(32908,plain,(~v18(constB106)), inference(lemma,lemma(discharge,[]))).
% 28.75/19.30 tff(32909,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB106) | (~v1(constB106)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB106) | (~v1(constB106)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32910,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB106) | (~v1(constB106)))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32911,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB106) | (~v1(constB106))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32910, 32909])).
% 28.75/19.30 tff(32912,plain,
% 28.75/19.30 (v22(constB106)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32911, 27216, 13554])).
% 28.75/19.30 tff(32913,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB106) | (~v22(constB106)) | (~v19(constB106)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB106) | (~v22(constB106)) | (~v19(constB106)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32914,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB106) | (~v22(constB106)) | (~v19(constB106)))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32915,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB106) | (~v22(constB106)) | (~v19(constB106))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32914, 32913])).
% 28.75/19.30 tff(32916,plain,
% 28.75/19.30 (v18(constB106) | (~v19(constB106))),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32915, 27230, 32912])).
% 28.75/19.30 tff(32917,plain,
% 28.75/19.30 (~v19(constB106)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32916, 32908])).
% 28.75/19.30 tff(32918,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB106) | v19(constB106))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB106) | v19(constB106))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32919,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB106) | v19(constB106))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32920,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB106) | v19(constB106)),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32919, 32918])).
% 28.75/19.30 tff(32921,plain,
% 28.75/19.30 (v13(constB106)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32920, 27242, 32917])).
% 28.75/19.30 tff(32922,plain,
% 28.75/19.30 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB105) | (~v13(constB106)) | (~nextState(constB105, constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB105) | (~v13(constB106)) | (~nextState(constB105, constB106)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32923,plain,
% 28.75/19.30 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB105) | (~v13(constB106)) | (~nextState(constB105, constB106)))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32924,plain,
% 28.75/19.30 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB105) | (~v13(constB106)) | (~nextState(constB105, constB106))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32923, 32922])).
% 28.75/19.30 tff(32925,plain,
% 28.75/19.30 (v9(constB105) | (~v13(constB106))),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32924, 27259, 13534])).
% 28.75/19.30 tff(32926,plain,
% 28.75/19.30 (v9(constB105)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32925, 32921])).
% 28.75/19.30 tff(32927,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB105) | (~v9(constB105)) | v184(constB105))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB105) | (~v9(constB105)) | v184(constB105))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32928,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB105) | (~v9(constB105)) | v184(constB105))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32929,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB105) | (~v9(constB105)) | v184(constB105)),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32928, 32927])).
% 28.75/19.30 tff(32930,plain,
% 28.75/19.30 ((~v9(constB105)) | v184(constB105)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32929, 27274, 13394])).
% 28.75/19.30 tff(32931,plain,
% 28.75/19.30 (v184(constB105)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32930, 32926])).
% 28.75/19.30 tff(32932,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB105)) | v183(constB105))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB105)) | v183(constB105))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32933,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB105)) | v183(constB105))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32934,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB105)) | v183(constB105)),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32933, 32932])).
% 28.75/19.30 tff(32935,plain,
% 28.75/19.30 (v183(constB105)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32934, 27286, 32931])).
% 28.75/19.30 tff(32936,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB105)) | (~v183(constB105)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB105)) | (~v183(constB105)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32937,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB105)) | (~v183(constB105)))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32938,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB105)) | (~v183(constB105))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32937, 32936])).
% 28.75/19.30 tff(32939,plain,
% 28.75/19.30 (~v181(constB105)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32938, 27300, 32935])).
% 28.75/19.30 tff(32940,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB105) | v185(constB105) | (~v178(constB105)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB105) | v185(constB105) | (~v178(constB105)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32941,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB105) | v185(constB105) | (~v178(constB105)))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32942,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB105) | v185(constB105) | (~v178(constB105))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32941, 32940])).
% 28.75/19.30 tff(32943,plain,
% 28.75/19.30 (v185(constB105) | (~v178(constB105))),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32942, 27314, 32939])).
% 28.75/19.30 tff(32944,plain,
% 28.75/19.30 (~v178(constB105)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32943, 32904])).
% 28.75/19.30 tff(32945,plain,
% 28.75/19.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB105, constB106)) | v178(constB105) | (~v180(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB105, constB106)) | v178(constB105) | (~v180(constB106)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32946,plain,
% 28.75/19.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB105, constB106)) | v178(constB105) | (~v180(constB106)))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32947,plain,
% 28.75/19.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB105, constB106)) | v178(constB105) | (~v180(constB106))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32946, 32945])).
% 28.75/19.30 tff(32948,plain,
% 28.75/19.30 (v178(constB105) | (~v180(constB106))),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32947, 27329, 13534])).
% 28.75/19.30 tff(32949,plain,
% 28.75/19.30 (~v180(constB106)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32948, 32944])).
% 28.75/19.30 tff(32950,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB106) | (~v181(constB106)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB106) | (~v181(constB106)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32951,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB106) | (~v181(constB106)))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32952,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB106) | (~v181(constB106))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32951, 32950])).
% 28.75/19.30 tff(32953,plain,
% 28.75/19.30 (~v181(constB106)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32952, 27344, 32949])).
% 28.75/19.30 tff(32954,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB106)) | (~v184(constB106)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB106)) | (~v184(constB106)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32955,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB106)) | (~v184(constB106)))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32956,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB106)) | (~v184(constB106))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32955, 32954])).
% 28.75/19.30 tff(32957,plain,
% 28.75/19.30 (~v184(constB106)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32956, 59, 13554])).
% 28.75/19.30 tff(32958,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB106) | (~v187(constB106)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB106) | (~v187(constB106)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32959,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB106) | (~v187(constB106)))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32960,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB106) | (~v187(constB106))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32959, 32958])).
% 28.75/19.30 tff(32961,plain,
% 28.75/19.30 (~v187(constB106)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32960, 27362, 32957])).
% 28.75/19.30 tff(32962,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB106) | (~v185(constB106)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB106) | (~v185(constB106)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32963,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB106) | (~v185(constB106)))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32964,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB106) | (~v185(constB106))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32963, 32962])).
% 28.75/19.30 tff(32965,plain,
% 28.75/19.30 (~v185(constB106)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32964, 27188, 32961])).
% 28.75/19.30 tff(32966,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB106) | v185(constB106) | (~v178(constB106)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB106) | v185(constB106) | (~v178(constB106)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32967,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB106) | v185(constB106) | (~v178(constB106)))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32968,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB106) | v185(constB106) | (~v178(constB106))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32967, 32966])).
% 28.75/19.30 tff(32969,plain,
% 28.75/19.30 (v181(constB106) | (~v178(constB106))),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32968, 27314, 32965])).
% 28.75/19.30 tff(32970,plain,
% 28.75/19.30 (~v178(constB106)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32969, 32953])).
% 28.75/19.30 tff(32971,plain,
% 28.75/19.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB106, constB107)) | v178(constB106) | (~v180(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB106, constB107)) | v178(constB106) | (~v180(constB107)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(32972,plain,
% 28.75/19.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB106, constB107)) | v178(constB106) | (~v180(constB107)))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(32973,plain,
% 28.75/19.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB106, constB107)) | v178(constB106) | (~v180(constB107))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[32972, 32971])).
% 28.75/19.30 tff(32974,plain,
% 28.75/19.30 (v178(constB106) | (~v180(constB107))),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32973, 27329, 13600])).
% 28.75/19.30 tff(32975,plain,
% 28.75/19.30 (~v180(constB107)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32974, 32970])).
% 28.75/19.30 tff(32976,plain,
% 28.75/19.30 ($false),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32975, 32847])).
% 28.75/19.30 tff(32977,plain,(~(constB107 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.75/19.30 tff(32978,assumption,(constB72 = sK_VarCurr), introduced(assumption)).
% 28.75/19.30 tff(32979,plain,
% 28.75/19.30 (v1(constB72) <=> v1(sK_VarCurr)),
% 28.75/19.30 inference(monotonicity,[status(thm)],[32978])).
% 28.75/19.30 tff(32980,plain,
% 28.75/19.30 (v1(sK_VarCurr) <=> v1(constB72)),
% 28.75/19.30 inference(symmetry,[status(thm)],[32979])).
% 28.75/19.30 tff(32981,plain,
% 28.75/19.30 ((~v1(sK_VarCurr)) <=> (~v1(constB72))),
% 28.75/19.30 inference(monotonicity,[status(thm)],[32980])).
% 28.75/19.30 tff(32982,plain,
% 28.75/19.30 (~v1(constB72)),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[63, 32981])).
% 28.75/19.30 tff(32983,plain,
% 28.75/19.30 ($false),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[9779, 32982])).
% 28.75/19.30 tff(32984,plain,(~(constB72 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.75/19.30 tff(32985,assumption,(constB121 = sK_VarCurr), introduced(assumption)).
% 28.75/19.30 tff(32986,plain,
% 28.75/19.30 (v180(constB121) <=> v180(sK_VarCurr)),
% 28.75/19.30 inference(monotonicity,[status(thm)],[32985])).
% 28.75/19.30 tff(32987,plain,
% 28.75/19.30 (v180(sK_VarCurr) <=> v180(constB121)),
% 28.75/19.30 inference(symmetry,[status(thm)],[32986])).
% 28.75/19.30 tff(32988,plain,
% 28.75/19.30 (v180(constB121)),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[86, 32987])).
% 28.75/19.30 tff(32989,plain,
% 28.75/19.30 (v115(constB117)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[15773, 1579, 15769])).
% 28.75/19.30 tff(32990,plain,
% 28.75/19.30 (v114(constB117)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[15780, 300, 32989])).
% 28.75/19.30 tff(32991,plain,
% 28.75/19.30 (v113(constB117)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[15787, 314, 32990])).
% 28.75/19.30 tff(32992,plain,
% 28.75/19.30 (v112(constB117)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[15799, 32991])).
% 28.75/19.30 tff(32993,plain,
% 28.75/19.30 (v108(constB117)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[15806, 340, 32992])).
% 28.75/19.30 tff(32994,plain,
% 28.75/19.30 (v110(constB118)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[15817, 32993])).
% 28.75/19.30 tff(32995,plain,
% 28.75/19.30 (v100(constB118)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[15843, 32994])).
% 28.75/19.30 tff(32996,plain,
% 28.75/19.30 (v130(constB117, 2)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[15847, 1656, 15769])).
% 28.75/19.30 tff(32997,plain,
% 28.75/19.30 (v127(constB117, 2)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[15852, 32996])).
% 28.75/19.30 tff(32998,plain,
% 28.75/19.30 (v129(constB118, 2)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[15857, 32997])).
% 28.75/19.30 tff(32999,plain,
% 28.75/19.30 (v90(constB118, 2) | (~v100(constB118))),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[15864, 1528, 32998])).
% 28.75/19.30 tff(33000,plain,
% 28.75/19.30 (v90(constB118, 2)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[32999, 32995])).
% 28.75/19.30 tff(33001,plain,
% 28.75/19.30 (v90(constB119, 2)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[15892, 33000])).
% 28.75/19.30 tff(33002,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB119, 2)) | v88(constB119, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB119, 2)) | v88(constB119, 2))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(33003,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB119, 2)) | v88(constB119, 2))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(33004,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB119, 2)) | v88(constB119, 2)),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[33003, 33002])).
% 28.75/19.30 tff(33005,plain,
% 28.75/19.30 (v88(constB119, 2)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[33004, 27680, 33001])).
% 28.75/19.30 tff(33006,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB119)) | (~v88(constB119, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB119)) | (~v88(constB119, 2)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(33007,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB119)) | (~v88(constB119, 2)))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(33008,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB119)) | (~v88(constB119, 2))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[33007, 33006])).
% 28.75/19.30 tff(33009,plain,
% 28.75/19.30 (~v140(constB119)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[33008, 27702, 33005])).
% 28.75/19.30 tff(33010,plain,
% 28.75/19.30 (v130(constB117, 0)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[15896, 1753, 15769])).
% 28.75/19.30 tff(33011,plain,
% 28.75/19.30 (v127(constB117, 0)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[15901, 33010])).
% 28.75/19.30 tff(33012,plain,
% 28.75/19.30 (v129(constB118, 0)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[15906, 33011])).
% 28.75/19.30 tff(33013,plain,
% 28.75/19.30 (v90(constB118, 0) | (~v100(constB118))),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[15913, 642, 33012])).
% 28.75/19.30 tff(33014,plain,
% 28.75/19.30 (v90(constB118, 0)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[33013, 32995])).
% 28.75/19.30 tff(33015,plain,
% 28.75/19.30 (v90(constB119, 0)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[15923, 33014])).
% 28.75/19.30 tff(33016,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB119, 0)) | v88(constB119, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB119, 0)) | v88(constB119, 0))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(33017,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB119, 0)) | v88(constB119, 0))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(33018,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB119, 0)) | v88(constB119, 0)),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[33017, 33016])).
% 28.75/19.30 tff(33019,plain,
% 28.75/19.30 (v88(constB119, 0)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[33018, 27874, 33015])).
% 28.75/19.30 tff(33020,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB119)) | (~v88(constB119, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB119)) | (~v88(constB119, 0)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(33021,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB119)) | (~v88(constB119, 0)))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(33022,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB119)) | (~v88(constB119, 0))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[33021, 33020])).
% 28.75/19.30 tff(33023,plain,
% 28.75/19.30 (~v139(constB119)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[33022, 27885, 33019])).
% 28.75/19.30 tff(33024,plain,
% 28.75/19.30 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB119) | v140(constB119) | (~v168(constB119)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB119) | v140(constB119) | (~v168(constB119)))),
% 28.75/19.30 inference(rewrite,[status(thm)],[])).
% 28.75/19.30 tff(33025,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB119) | v140(constB119) | (~v168(constB119)))),
% 28.75/19.30 inference(quant_inst,[status(thm)],[])).
% 28.75/19.30 tff(33026,plain,
% 28.75/19.30 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB119) | v140(constB119) | (~v168(constB119))),
% 28.75/19.30 inference(modus_ponens,[status(thm)],[33025, 33024])).
% 28.75/19.30 tff(33027,plain,
% 28.75/19.30 (~v168(constB119)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[33026, 27142, 33023, 33009])).
% 28.75/19.30 tff(33028,plain,
% 28.75/19.30 (~v130(constB117, 1)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[15927, 1712, 15769])).
% 28.75/19.30 tff(33029,plain,
% 28.75/19.30 (~v127(constB117, 1)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[15935, 33028])).
% 28.75/19.30 tff(33030,plain,
% 28.75/19.30 (~v129(constB118, 1)),
% 28.75/19.30 inference(unit_resolution,[status(thm)],[15940, 33029])).
% 28.75/19.31 tff(33031,plain,
% 28.75/19.31 ((~v90(constB118, 1)) | (~v100(constB118))),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[15947, 574, 33030])).
% 28.75/19.31 tff(33032,plain,
% 28.75/19.31 (~v90(constB118, 1)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33031, 32995])).
% 28.75/19.31 tff(33033,plain,
% 28.75/19.31 (~v90(constB119, 1)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[15957, 33032])).
% 28.75/19.31 tff(33034,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB119, 1)) | v90(constB119, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB119, 1)) | v90(constB119, 1))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33035,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB119, 1)) | v90(constB119, 1))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33036,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB119, 1)) | v90(constB119, 1)),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33035, 33034])).
% 28.75/19.31 tff(33037,plain,
% 28.75/19.31 (~v88(constB119, 1)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33036, 27717, 33033])).
% 28.75/19.31 tff(33038,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (v88(constB119, 1) | (~v88(constB119, 2)) | (~v88(constB119, 0)) | v147(constB119))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB119, 1) | (~v88(constB119, 2)) | (~v88(constB119, 0)) | v147(constB119))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33039,plain,
% 28.75/19.31 (((~v88(constB119, 2)) | v88(constB119, 1) | (~v88(constB119, 0)) | v147(constB119)) <=> (v88(constB119, 1) | (~v88(constB119, 2)) | (~v88(constB119, 0)) | v147(constB119))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33040,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB119, 2)) | v88(constB119, 1) | (~v88(constB119, 0)) | v147(constB119))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (v88(constB119, 1) | (~v88(constB119, 2)) | (~v88(constB119, 0)) | v147(constB119)))),
% 28.75/19.31 inference(monotonicity,[status(thm)],[33039])).
% 28.75/19.31 tff(33041,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB119, 2)) | v88(constB119, 1) | (~v88(constB119, 0)) | v147(constB119))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB119, 1) | (~v88(constB119, 2)) | (~v88(constB119, 0)) | v147(constB119))),
% 28.75/19.31 inference(transitivity,[status(thm)],[33040, 33038])).
% 28.75/19.31 tff(33042,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB119, 2)) | v88(constB119, 1) | (~v88(constB119, 0)) | v147(constB119))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33043,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB119, 1) | (~v88(constB119, 2)) | (~v88(constB119, 0)) | v147(constB119)),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33042, 33041])).
% 28.75/19.31 tff(33044,plain,
% 28.75/19.31 (v147(constB119)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33043, 27907, 33019, 33005, 33037])).
% 28.75/19.31 tff(33045,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB119)) | v145(constB119))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB119)) | v145(constB119))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33046,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB119)) | v145(constB119))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33047,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB119)) | v145(constB119)),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33046, 33045])).
% 28.75/19.31 tff(33048,plain,
% 28.75/19.31 (v145(constB119)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33047, 27921, 33044])).
% 28.75/19.31 tff(33049,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB119) | (~v145(constB119)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB119) | (~v145(constB119)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33050,plain,
% 28.75/19.31 (((~v145(constB119)) | v164(constB119)) <=> (v164(constB119) | (~v145(constB119)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33051,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB119)) | v164(constB119))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB119) | (~v145(constB119))))),
% 28.75/19.31 inference(monotonicity,[status(thm)],[33050])).
% 28.75/19.31 tff(33052,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB119)) | v164(constB119))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB119) | (~v145(constB119)))),
% 28.75/19.31 inference(transitivity,[status(thm)],[33051, 33049])).
% 28.75/19.31 tff(33053,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB119)) | v164(constB119))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33054,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB119) | (~v145(constB119))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33053, 33052])).
% 28.75/19.31 tff(33055,plain,
% 28.75/19.31 (v164(constB119)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33054, 27760, 33048])).
% 28.75/19.31 tff(33056,plain,
% 28.75/19.31 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB119)) | v168(constB119) | (~v164(constB119)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB119)) | v168(constB119) | (~v164(constB119)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33057,plain,
% 28.75/19.31 (((~v164(constB119)) | v168(constB119) | (~v161(constB119))) <=> ((~v161(constB119)) | v168(constB119) | (~v164(constB119)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33058,plain,
% 28.75/19.31 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB119)) | v168(constB119) | (~v161(constB119)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB119)) | v168(constB119) | (~v164(constB119))))),
% 28.75/19.31 inference(monotonicity,[status(thm)],[33057])).
% 28.75/19.31 tff(33059,plain,
% 28.75/19.31 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB119)) | v168(constB119) | (~v161(constB119)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB119)) | v168(constB119) | (~v164(constB119)))),
% 28.75/19.31 inference(transitivity,[status(thm)],[33058, 33056])).
% 28.75/19.31 tff(33060,plain,
% 28.75/19.31 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB119)) | v168(constB119) | (~v161(constB119)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33061,plain,
% 28.75/19.31 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB119)) | v168(constB119) | (~v164(constB119))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33060, 33059])).
% 28.75/19.31 tff(33062,plain,
% 28.75/19.31 (~v161(constB119)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33061, 27156, 33055, 33027])).
% 28.75/19.31 tff(33063,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB119) | (~v187(constB119)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB119) | (~v187(constB119)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33064,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB119) | (~v187(constB119)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33065,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB119) | (~v187(constB119))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33064, 33063])).
% 28.75/19.31 tff(33066,plain,
% 28.75/19.31 (~v187(constB119)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33065, 27174, 33062])).
% 28.75/19.31 tff(33067,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB119) | (~v185(constB119)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB119) | (~v185(constB119)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33068,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB119) | (~v185(constB119)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33069,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB119) | (~v185(constB119))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33068, 33067])).
% 28.75/19.31 tff(33070,plain,
% 28.75/19.31 (~v185(constB119)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33069, 27188, 33066])).
% 28.75/19.31 tff(33071,assumption,(v18(constB120)), introduced(assumption)).
% 28.75/19.31 tff(33072,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB120))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33073,plain,
% 28.75/19.31 ($false),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33072, 27200, 33071])).
% 28.75/19.31 tff(33074,plain,(~v18(constB120)), inference(lemma,lemma(discharge,[]))).
% 28.75/19.31 tff(33075,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB120) | (~v1(constB120)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB120) | (~v1(constB120)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33076,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB120) | (~v1(constB120)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33077,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB120) | (~v1(constB120))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33076, 33075])).
% 28.75/19.31 tff(33078,plain,
% 28.75/19.31 (v22(constB120)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33077, 27216, 16021])).
% 28.75/19.31 tff(33079,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB120) | (~v22(constB120)) | (~v19(constB120)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB120) | (~v22(constB120)) | (~v19(constB120)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33080,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB120) | (~v22(constB120)) | (~v19(constB120)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33081,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB120) | (~v22(constB120)) | (~v19(constB120))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33080, 33079])).
% 28.75/19.31 tff(33082,plain,
% 28.75/19.31 (v18(constB120) | (~v19(constB120))),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33081, 27230, 33078])).
% 28.75/19.31 tff(33083,plain,
% 28.75/19.31 (~v19(constB120)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33082, 33074])).
% 28.75/19.31 tff(33084,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB120) | v19(constB120))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB120) | v19(constB120))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33085,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB120) | v19(constB120))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33086,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB120) | v19(constB120)),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33085, 33084])).
% 28.75/19.31 tff(33087,plain,
% 28.75/19.31 (v13(constB120)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33086, 27242, 33083])).
% 28.75/19.31 tff(33088,plain,
% 28.75/19.31 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB119) | (~v13(constB120)) | (~nextState(constB119, constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB119) | (~v13(constB120)) | (~nextState(constB119, constB120)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33089,plain,
% 28.75/19.31 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB119) | (~v13(constB120)) | (~nextState(constB119, constB120)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33090,plain,
% 28.75/19.31 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB119) | (~v13(constB120)) | (~nextState(constB119, constB120))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33089, 33088])).
% 28.75/19.31 tff(33091,plain,
% 28.75/19.31 (v9(constB119) | (~v13(constB120))),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33090, 27259, 16001])).
% 28.75/19.31 tff(33092,plain,
% 28.75/19.31 (v9(constB119)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33091, 33087])).
% 28.75/19.31 tff(33093,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB119) | (~v9(constB119)) | v184(constB119))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB119) | (~v9(constB119)) | v184(constB119))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33094,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB119) | (~v9(constB119)) | v184(constB119))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33095,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB119) | (~v9(constB119)) | v184(constB119)),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33094, 33093])).
% 28.75/19.31 tff(33096,plain,
% 28.75/19.31 ((~v9(constB119)) | v184(constB119)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33095, 27274, 15869])).
% 28.75/19.31 tff(33097,plain,
% 28.75/19.31 (v184(constB119)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33096, 33092])).
% 28.75/19.31 tff(33098,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB119) | (~v184(constB119)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB119) | (~v184(constB119)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33099,plain,
% 28.75/19.31 (((~v184(constB119)) | v183(constB119)) <=> (v183(constB119) | (~v184(constB119)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33100,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB119)) | v183(constB119))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB119) | (~v184(constB119))))),
% 28.75/19.31 inference(monotonicity,[status(thm)],[33099])).
% 28.75/19.31 tff(33101,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB119)) | v183(constB119))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB119) | (~v184(constB119)))),
% 28.75/19.31 inference(transitivity,[status(thm)],[33100, 33098])).
% 28.75/19.31 tff(33102,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB119)) | v183(constB119))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33103,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB119) | (~v184(constB119))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33102, 33101])).
% 28.75/19.31 tff(33104,plain,
% 28.75/19.31 (v183(constB119)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33103, 27286, 33097])).
% 28.75/19.31 tff(33105,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB119)) | (~v183(constB119)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB119)) | (~v183(constB119)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33106,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB119)) | (~v183(constB119)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33107,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB119)) | (~v183(constB119))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33106, 33105])).
% 28.75/19.31 tff(33108,plain,
% 28.75/19.31 (~v181(constB119)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33107, 27300, 33104])).
% 28.75/19.31 tff(33109,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB119) | v185(constB119) | (~v178(constB119)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB119) | v185(constB119) | (~v178(constB119)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33110,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB119) | v185(constB119) | (~v178(constB119)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33111,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB119) | v185(constB119) | (~v178(constB119))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33110, 33109])).
% 28.75/19.31 tff(33112,plain,
% 28.75/19.31 (v185(constB119) | (~v178(constB119))),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33111, 27314, 33108])).
% 28.75/19.31 tff(33113,plain,
% 28.75/19.31 (~v178(constB119)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33112, 33070])).
% 28.75/19.31 tff(33114,plain,
% 28.75/19.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB119, constB120)) | v178(constB119) | (~v180(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB119, constB120)) | v178(constB119) | (~v180(constB120)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33115,plain,
% 28.75/19.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB119, constB120)) | v178(constB119) | (~v180(constB120)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33116,plain,
% 28.75/19.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB119, constB120)) | v178(constB119) | (~v180(constB120))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33115, 33114])).
% 28.75/19.31 tff(33117,plain,
% 28.75/19.31 (v178(constB119) | (~v180(constB120))),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33116, 27329, 16001])).
% 28.75/19.31 tff(33118,plain,
% 28.75/19.31 (~v180(constB120)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33117, 33113])).
% 28.75/19.31 tff(33119,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB120) | (~v181(constB120)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB120) | (~v181(constB120)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33120,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB120) | (~v181(constB120)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33121,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB120) | (~v181(constB120))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33120, 33119])).
% 28.75/19.31 tff(33122,plain,
% 28.75/19.31 (~v181(constB120)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33121, 27344, 33118])).
% 28.75/19.31 tff(33123,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB120)) | (~v184(constB120)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB120)) | (~v184(constB120)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33124,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB120)) | (~v184(constB120)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33125,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB120)) | (~v184(constB120))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33124, 33123])).
% 28.75/19.31 tff(33126,plain,
% 28.75/19.31 (~v184(constB120)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33125, 59, 16021])).
% 28.75/19.31 tff(33127,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB120) | (~v187(constB120)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB120) | (~v187(constB120)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33128,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB120) | (~v187(constB120)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33129,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB120) | (~v187(constB120))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33128, 33127])).
% 28.75/19.31 tff(33130,plain,
% 28.75/19.31 (~v187(constB120)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33129, 27362, 33126])).
% 28.75/19.31 tff(33131,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB120) | (~v185(constB120)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB120) | (~v185(constB120)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33132,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB120) | (~v185(constB120)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33133,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB120) | (~v185(constB120))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33132, 33131])).
% 28.75/19.31 tff(33134,plain,
% 28.75/19.31 (~v185(constB120)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33133, 27188, 33130])).
% 28.75/19.31 tff(33135,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB120) | v185(constB120) | (~v178(constB120)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB120) | v185(constB120) | (~v178(constB120)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33136,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB120) | v185(constB120) | (~v178(constB120)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33137,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB120) | v185(constB120) | (~v178(constB120))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33136, 33135])).
% 28.75/19.31 tff(33138,plain,
% 28.75/19.31 (v181(constB120) | (~v178(constB120))),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33137, 27314, 33134])).
% 28.75/19.31 tff(33139,plain,
% 28.75/19.31 (~v178(constB120)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33138, 33122])).
% 28.75/19.31 tff(33140,plain,
% 28.75/19.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB120, constB121)) | v178(constB120) | (~v180(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB120, constB121)) | v178(constB120) | (~v180(constB121)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33141,plain,
% 28.75/19.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB120, constB121)) | v178(constB120) | (~v180(constB121)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33142,plain,
% 28.75/19.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB120, constB121)) | v178(constB120) | (~v180(constB121))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33141, 33140])).
% 28.75/19.31 tff(33143,plain,
% 28.75/19.31 (v178(constB120) | (~v180(constB121))),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33142, 27329, 16067])).
% 28.75/19.31 tff(33144,plain,
% 28.75/19.31 (~v180(constB121)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33143, 33139])).
% 28.75/19.31 tff(33145,plain,
% 28.75/19.31 ($false),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33144, 32988])).
% 28.75/19.31 tff(33146,plain,(~(constB121 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.75/19.31 tff(33147,assumption,(constB164 = sK_VarCurr), introduced(assumption)).
% 28.75/19.31 tff(33148,plain,
% 28.75/19.31 (v1(constB164) <=> v1(sK_VarCurr)),
% 28.75/19.31 inference(monotonicity,[status(thm)],[33147])).
% 28.75/19.31 tff(33149,plain,
% 28.75/19.31 (v1(sK_VarCurr) <=> v1(constB164)),
% 28.75/19.31 inference(symmetry,[status(thm)],[33148])).
% 28.75/19.31 tff(33150,plain,
% 28.75/19.31 ((~v1(sK_VarCurr)) <=> (~v1(constB164))),
% 28.75/19.31 inference(monotonicity,[status(thm)],[33149])).
% 28.75/19.31 tff(33151,plain,
% 28.75/19.31 (~v1(constB164)),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[63, 33150])).
% 28.75/19.31 tff(33152,plain,
% 28.75/19.31 ($false),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[23306, 33151])).
% 28.75/19.31 tff(33153,plain,(~(constB164 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.75/19.31 tff(33154,assumption,(constB134 = sK_VarCurr), introduced(assumption)).
% 28.75/19.31 tff(33155,plain,
% 28.75/19.31 (v1(constB134) <=> v1(sK_VarCurr)),
% 28.75/19.31 inference(monotonicity,[status(thm)],[33154])).
% 28.75/19.31 tff(33156,plain,
% 28.75/19.31 (v1(sK_VarCurr) <=> v1(constB134)),
% 28.75/19.31 inference(symmetry,[status(thm)],[33155])).
% 28.75/19.31 tff(33157,plain,
% 28.75/19.31 ((~v1(sK_VarCurr)) <=> (~v1(constB134))),
% 28.75/19.31 inference(monotonicity,[status(thm)],[33156])).
% 28.75/19.31 tff(33158,plain,
% 28.75/19.31 (~v1(constB134)),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[63, 33157])).
% 28.75/19.31 tff(33159,plain,
% 28.75/19.31 ($false),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[19753, 33158])).
% 28.75/19.31 tff(33160,plain,(~(constB134 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.75/19.31 tff(33161,assumption,(constB112 = sK_VarCurr), introduced(assumption)).
% 28.75/19.31 tff(33162,plain,
% 28.75/19.31 (v1(constB112) <=> v1(sK_VarCurr)),
% 28.75/19.31 inference(monotonicity,[status(thm)],[33161])).
% 28.75/19.31 tff(33163,plain,
% 28.75/19.31 (v1(sK_VarCurr) <=> v1(constB112)),
% 28.75/19.31 inference(symmetry,[status(thm)],[33162])).
% 28.75/19.31 tff(33164,plain,
% 28.75/19.31 ((~v1(sK_VarCurr)) <=> (~v1(constB112))),
% 28.75/19.31 inference(monotonicity,[status(thm)],[33163])).
% 28.75/19.31 tff(33165,plain,
% 28.75/19.31 (~v1(constB112)),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[63, 33164])).
% 28.75/19.31 tff(33166,plain,
% 28.75/19.31 ($false),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[14756, 33165])).
% 28.75/19.31 tff(33167,plain,(~(constB112 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.75/19.31 tff(33168,assumption,(constB180 = sK_VarCurr), introduced(assumption)).
% 28.75/19.31 tff(33169,plain,
% 28.75/19.31 (v1(constB180) <=> v1(sK_VarCurr)),
% 28.75/19.31 inference(monotonicity,[status(thm)],[33168])).
% 28.75/19.31 tff(33170,plain,
% 28.75/19.31 (v1(sK_VarCurr) <=> v1(constB180)),
% 28.75/19.31 inference(symmetry,[status(thm)],[33169])).
% 28.75/19.31 tff(33171,plain,
% 28.75/19.31 ((~v1(sK_VarCurr)) <=> (~v1(constB180))),
% 28.75/19.31 inference(monotonicity,[status(thm)],[33170])).
% 28.75/19.31 tff(33172,plain,
% 28.75/19.31 (~v1(constB180)),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[63, 33171])).
% 28.75/19.31 tff(33173,plain,
% 28.75/19.31 ($false),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[24918, 33172])).
% 28.75/19.31 tff(33174,plain,(~(constB180 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.75/19.31 tff(33175,assumption,(constB139 = sK_VarCurr), introduced(assumption)).
% 28.75/19.31 tff(33176,plain,
% 28.75/19.31 (v180(constB139) <=> v180(sK_VarCurr)),
% 28.75/19.31 inference(monotonicity,[status(thm)],[33175])).
% 28.75/19.31 tff(33177,plain,
% 28.75/19.31 (v180(sK_VarCurr) <=> v180(constB139)),
% 28.75/19.31 inference(symmetry,[status(thm)],[33176])).
% 28.75/19.31 tff(33178,plain,
% 28.75/19.31 (v180(constB139)),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[86, 33177])).
% 28.75/19.31 tff(33179,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB137)) | (~v88(constB137, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB137)) | (~v88(constB137, 1)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33180,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB137)) | (~v88(constB137, 1)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33181,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB137)) | (~v88(constB137, 1))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33180, 33179])).
% 28.75/19.31 tff(33182,plain,
% 28.75/19.31 (~v139(constB137)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33181, 27117, 30759])).
% 28.75/19.31 tff(33183,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB137)) | (~v88(constB137, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB137)) | (~v88(constB137, 1)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33184,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB137)) | (~v88(constB137, 1)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33185,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB137)) | (~v88(constB137, 1))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33184, 33183])).
% 28.75/19.31 tff(33186,plain,
% 28.75/19.31 (~v140(constB137)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33185, 27128, 30759])).
% 28.75/19.31 tff(33187,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB137) | v140(constB137) | (~v168(constB137)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB137) | v140(constB137) | (~v168(constB137)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33188,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB137) | v140(constB137) | (~v168(constB137)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33189,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB137) | v140(constB137) | (~v168(constB137))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33188, 33187])).
% 28.75/19.31 tff(33190,plain,
% 28.75/19.31 (~v168(constB137)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33189, 27142, 33186, 33182])).
% 28.75/19.31 tff(33191,plain,
% 28.75/19.31 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB137)) | (~v164(constB137)) | v168(constB137))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB137)) | (~v164(constB137)) | v168(constB137))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33192,plain,
% 28.75/19.31 (((~v164(constB137)) | v168(constB137) | (~v161(constB137))) <=> ((~v161(constB137)) | (~v164(constB137)) | v168(constB137))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33193,plain,
% 28.75/19.31 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB137)) | v168(constB137) | (~v161(constB137)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB137)) | (~v164(constB137)) | v168(constB137)))),
% 28.75/19.31 inference(monotonicity,[status(thm)],[33192])).
% 28.75/19.31 tff(33194,plain,
% 28.75/19.31 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB137)) | v168(constB137) | (~v161(constB137)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB137)) | (~v164(constB137)) | v168(constB137))),
% 28.75/19.31 inference(transitivity,[status(thm)],[33193, 33191])).
% 28.75/19.31 tff(33195,plain,
% 28.75/19.31 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB137)) | v168(constB137) | (~v161(constB137)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33196,plain,
% 28.75/19.31 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB137)) | (~v164(constB137)) | v168(constB137)),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33195, 33194])).
% 28.75/19.31 tff(33197,plain,
% 28.75/19.31 (~v161(constB137)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33196, 27156, 30791, 33190])).
% 28.75/19.31 tff(33198,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB137) | (~v187(constB137)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB137) | (~v187(constB137)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33199,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB137) | (~v187(constB137)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33200,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB137) | (~v187(constB137))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33199, 33198])).
% 28.75/19.31 tff(33201,plain,
% 28.75/19.31 (~v187(constB137)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33200, 27174, 33197])).
% 28.75/19.31 tff(33202,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB137) | (~v185(constB137)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB137) | (~v185(constB137)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33203,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB137) | (~v185(constB137)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33204,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB137) | (~v185(constB137))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33203, 33202])).
% 28.75/19.31 tff(33205,plain,
% 28.75/19.31 (~v185(constB137)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33204, 27188, 33201])).
% 28.75/19.31 tff(33206,assumption,(v18(constB138)), introduced(assumption)).
% 28.75/19.31 tff(33207,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB138))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33208,plain,
% 28.75/19.31 ($false),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33207, 27200, 33206])).
% 28.75/19.31 tff(33209,plain,(~v18(constB138)), inference(lemma,lemma(discharge,[]))).
% 28.75/19.31 tff(33210,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB138) | (~v1(constB138)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB138) | (~v1(constB138)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33211,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB138) | (~v1(constB138)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33212,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB138) | (~v1(constB138))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33211, 33210])).
% 28.75/19.31 tff(33213,plain,
% 28.75/19.31 (v22(constB138)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33212, 27216, 16629])).
% 28.75/19.31 tff(33214,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB138) | (~v22(constB138)) | (~v19(constB138)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB138) | (~v22(constB138)) | (~v19(constB138)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33215,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB138) | (~v22(constB138)) | (~v19(constB138)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33216,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB138) | (~v22(constB138)) | (~v19(constB138))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33215, 33214])).
% 28.75/19.31 tff(33217,plain,
% 28.75/19.31 (v18(constB138) | (~v19(constB138))),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33216, 27230, 33213])).
% 28.75/19.31 tff(33218,plain,
% 28.75/19.31 (~v19(constB138)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33217, 33209])).
% 28.75/19.31 tff(33219,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB138) | v19(constB138))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB138) | v19(constB138))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33220,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB138) | v19(constB138))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33221,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB138) | v19(constB138)),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33220, 33219])).
% 28.75/19.31 tff(33222,plain,
% 28.75/19.31 (v13(constB138)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33221, 27242, 33218])).
% 28.75/19.31 tff(33223,plain,
% 28.75/19.31 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB137) | (~v13(constB138)) | (~nextState(constB137, constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB137) | (~v13(constB138)) | (~nextState(constB137, constB138)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33224,plain,
% 28.75/19.31 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB137) | (~v13(constB138)) | (~nextState(constB137, constB138)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33225,plain,
% 28.75/19.31 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB137) | (~v13(constB138)) | (~nextState(constB137, constB138))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33224, 33223])).
% 28.75/19.31 tff(33226,plain,
% 28.75/19.31 (v9(constB137) | (~v13(constB138))),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33225, 27259, 16617])).
% 28.75/19.31 tff(33227,plain,
% 28.75/19.31 (v9(constB137)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33226, 33222])).
% 28.75/19.31 tff(33228,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB137) | (~v9(constB137)) | v184(constB137))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB137) | (~v9(constB137)) | v184(constB137))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33229,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB137) | (~v9(constB137)) | v184(constB137))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33230,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB137) | (~v9(constB137)) | v184(constB137)),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33229, 33228])).
% 28.75/19.31 tff(33231,plain,
% 28.75/19.31 ((~v9(constB137)) | v184(constB137)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33230, 27274, 16614])).
% 28.75/19.31 tff(33232,plain,
% 28.75/19.31 (v184(constB137)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33231, 33227])).
% 28.75/19.31 tff(33233,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB137) | (~v184(constB137)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB137) | (~v184(constB137)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33234,plain,
% 28.75/19.31 (((~v184(constB137)) | v183(constB137)) <=> (v183(constB137) | (~v184(constB137)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33235,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB137)) | v183(constB137))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB137) | (~v184(constB137))))),
% 28.75/19.31 inference(monotonicity,[status(thm)],[33234])).
% 28.75/19.31 tff(33236,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB137)) | v183(constB137))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB137) | (~v184(constB137)))),
% 28.75/19.31 inference(transitivity,[status(thm)],[33235, 33233])).
% 28.75/19.31 tff(33237,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB137)) | v183(constB137))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33238,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB137) | (~v184(constB137))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33237, 33236])).
% 28.75/19.31 tff(33239,plain,
% 28.75/19.31 (v183(constB137)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33238, 27286, 33232])).
% 28.75/19.31 tff(33240,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB137)) | (~v183(constB137)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB137)) | (~v183(constB137)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33241,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB137)) | (~v183(constB137)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33242,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB137)) | (~v183(constB137))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33241, 33240])).
% 28.75/19.31 tff(33243,plain,
% 28.75/19.31 (~v181(constB137)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33242, 27300, 33239])).
% 28.75/19.31 tff(33244,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB137) | v185(constB137) | (~v178(constB137)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB137) | v185(constB137) | (~v178(constB137)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33245,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB137) | v185(constB137) | (~v178(constB137)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33246,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB137) | v185(constB137) | (~v178(constB137))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33245, 33244])).
% 28.75/19.31 tff(33247,plain,
% 28.75/19.31 (v185(constB137) | (~v178(constB137))),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33246, 27314, 33243])).
% 28.75/19.31 tff(33248,plain,
% 28.75/19.31 (~v178(constB137)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33247, 33205])).
% 28.75/19.31 tff(33249,plain,
% 28.75/19.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB137, constB138)) | v178(constB137) | (~v180(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB137, constB138)) | v178(constB137) | (~v180(constB138)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33250,plain,
% 28.75/19.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB137, constB138)) | v178(constB137) | (~v180(constB138)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33251,plain,
% 28.75/19.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB137, constB138)) | v178(constB137) | (~v180(constB138))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33250, 33249])).
% 28.75/19.31 tff(33252,plain,
% 28.75/19.31 (v178(constB137) | (~v180(constB138))),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33251, 27329, 16617])).
% 28.75/19.31 tff(33253,plain,
% 28.75/19.31 (~v180(constB138)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33252, 33248])).
% 28.75/19.31 tff(33254,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB138) | (~v181(constB138)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB138) | (~v181(constB138)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33255,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB138) | (~v181(constB138)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33256,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB138) | (~v181(constB138))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33255, 33254])).
% 28.75/19.31 tff(33257,plain,
% 28.75/19.31 (~v181(constB138)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33256, 27344, 33253])).
% 28.75/19.31 tff(33258,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB138)) | (~v184(constB138)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB138)) | (~v184(constB138)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33259,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB138)) | (~v184(constB138)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33260,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB138)) | (~v184(constB138))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33259, 33258])).
% 28.75/19.31 tff(33261,plain,
% 28.75/19.31 (~v184(constB138)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33260, 59, 16629])).
% 28.75/19.31 tff(33262,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB138) | (~v187(constB138)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB138) | (~v187(constB138)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33263,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB138) | (~v187(constB138)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33264,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB138) | (~v187(constB138))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33263, 33262])).
% 28.75/19.31 tff(33265,plain,
% 28.75/19.31 (~v187(constB138)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33264, 27362, 33261])).
% 28.75/19.31 tff(33266,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB138) | (~v185(constB138)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB138) | (~v185(constB138)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33267,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB138) | (~v185(constB138)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33268,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB138) | (~v185(constB138))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33267, 33266])).
% 28.75/19.31 tff(33269,plain,
% 28.75/19.31 (~v185(constB138)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33268, 27188, 33265])).
% 28.75/19.31 tff(33270,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB138) | v185(constB138) | (~v178(constB138)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB138) | v185(constB138) | (~v178(constB138)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33271,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB138) | v185(constB138) | (~v178(constB138)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33272,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB138) | v185(constB138) | (~v178(constB138))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33271, 33270])).
% 28.75/19.31 tff(33273,plain,
% 28.75/19.31 (v181(constB138) | (~v178(constB138))),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33272, 27314, 33269])).
% 28.75/19.31 tff(33274,plain,
% 28.75/19.31 (~v178(constB138)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33273, 33257])).
% 28.75/19.31 tff(33275,plain,
% 28.75/19.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB138, constB139)) | v178(constB138) | (~v180(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB138, constB139)) | v178(constB138) | (~v180(constB139)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33276,plain,
% 28.75/19.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB138, constB139)) | v178(constB138) | (~v180(constB139)))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33277,plain,
% 28.75/19.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB138, constB139)) | v178(constB138) | (~v180(constB139))),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33276, 33275])).
% 28.75/19.31 tff(33278,plain,
% 28.75/19.31 (v178(constB138) | (~v180(constB139))),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33277, 27329, 20369])).
% 28.75/19.31 tff(33279,plain,
% 28.75/19.31 (~v180(constB139)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33278, 33274])).
% 28.75/19.31 tff(33280,plain,
% 28.75/19.31 ($false),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33279, 33178])).
% 28.75/19.31 tff(33281,plain,(~(constB139 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.75/19.31 tff(33282,assumption,(constB157 = sK_VarCurr), introduced(assumption)).
% 28.75/19.31 tff(33283,plain,
% 28.75/19.31 (v180(constB157) <=> v180(sK_VarCurr)),
% 28.75/19.31 inference(monotonicity,[status(thm)],[33282])).
% 28.75/19.31 tff(33284,plain,
% 28.75/19.31 (v180(sK_VarCurr) <=> v180(constB157)),
% 28.75/19.31 inference(symmetry,[status(thm)],[33283])).
% 28.75/19.31 tff(33285,plain,
% 28.75/19.31 (v180(constB157)),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[86, 33284])).
% 28.75/19.31 tff(33286,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB155, 2)) | v88(constB155, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB155, 2)) | v88(constB155, 2))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.75/19.31 tff(33287,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB155, 2)) | v88(constB155, 2))),
% 28.75/19.31 inference(quant_inst,[status(thm)],[])).
% 28.75/19.31 tff(33288,plain,
% 28.75/19.31 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB155, 2)) | v88(constB155, 2)),
% 28.75/19.31 inference(modus_ponens,[status(thm)],[33287, 33286])).
% 28.75/19.31 tff(33289,plain,
% 28.75/19.31 (v88(constB155, 2)),
% 28.75/19.31 inference(unit_resolution,[status(thm)],[33288, 27680, 22292])).
% 28.75/19.31 tff(33290,plain,
% 28.75/19.31 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB155)) | (~v88(constB155, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB155)) | (~v88(constB155, 2)))),
% 28.75/19.31 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33291,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB155)) | (~v88(constB155, 2)))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33292,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB155)) | (~v88(constB155, 2))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33291, 33290])).
% 28.80/19.32 tff(33293,plain,
% 28.80/19.32 (~v140(constB155)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33292, 27702, 33289])).
% 28.80/19.32 tff(33294,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB155, 0)) | v88(constB155, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB155, 0)) | v88(constB155, 0))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33295,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB155, 0)) | v88(constB155, 0))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33296,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB155, 0)) | v88(constB155, 0)),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33295, 33294])).
% 28.80/19.32 tff(33297,plain,
% 28.80/19.32 (v88(constB155, 0)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33296, 27874, 22357])).
% 28.80/19.32 tff(33298,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB155)) | (~v88(constB155, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB155)) | (~v88(constB155, 0)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33299,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB155)) | (~v88(constB155, 0)))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33300,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB155)) | (~v88(constB155, 0))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33299, 33298])).
% 28.80/19.32 tff(33301,plain,
% 28.80/19.32 (~v139(constB155)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33300, 27885, 33297])).
% 28.80/19.32 tff(33302,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB155) | v140(constB155) | (~v168(constB155)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB155) | v140(constB155) | (~v168(constB155)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33303,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB155) | v140(constB155) | (~v168(constB155)))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33304,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB155) | v140(constB155) | (~v168(constB155))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33303, 33302])).
% 28.80/19.32 tff(33305,plain,
% 28.80/19.32 (~v168(constB155)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33304, 27142, 33301, 33293])).
% 28.80/19.32 tff(33306,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB155, 1)) | v90(constB155, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB155, 1)) | v90(constB155, 1))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33307,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB155, 1)) | v90(constB155, 1))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33308,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB155, 1)) | v90(constB155, 1)),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33307, 33306])).
% 28.80/19.32 tff(33309,plain,
% 28.80/19.32 (~v88(constB155, 1)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33308, 27717, 22326])).
% 28.80/19.32 tff(33310,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (v88(constB155, 1) | (~v88(constB155, 0)) | (~v88(constB155, 2)) | v147(constB155))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB155, 1) | (~v88(constB155, 0)) | (~v88(constB155, 2)) | v147(constB155))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33311,plain,
% 28.80/19.32 (((~v88(constB155, 2)) | v88(constB155, 1) | (~v88(constB155, 0)) | v147(constB155)) <=> (v88(constB155, 1) | (~v88(constB155, 0)) | (~v88(constB155, 2)) | v147(constB155))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33312,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB155, 2)) | v88(constB155, 1) | (~v88(constB155, 0)) | v147(constB155))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (v88(constB155, 1) | (~v88(constB155, 0)) | (~v88(constB155, 2)) | v147(constB155)))),
% 28.80/19.32 inference(monotonicity,[status(thm)],[33311])).
% 28.80/19.32 tff(33313,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB155, 2)) | v88(constB155, 1) | (~v88(constB155, 0)) | v147(constB155))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB155, 1) | (~v88(constB155, 0)) | (~v88(constB155, 2)) | v147(constB155))),
% 28.80/19.32 inference(transitivity,[status(thm)],[33312, 33310])).
% 28.80/19.32 tff(33314,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB155, 2)) | v88(constB155, 1) | (~v88(constB155, 0)) | v147(constB155))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33315,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB155, 1) | (~v88(constB155, 0)) | (~v88(constB155, 2)) | v147(constB155)),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33314, 33313])).
% 28.80/19.32 tff(33316,plain,
% 28.80/19.32 (v147(constB155)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33315, 27907, 33297, 33289, 33309])).
% 28.80/19.32 tff(33317,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB155)) | v145(constB155))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB155)) | v145(constB155))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33318,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB155)) | v145(constB155))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33319,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB155)) | v145(constB155)),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33318, 33317])).
% 28.80/19.32 tff(33320,plain,
% 28.80/19.32 (v145(constB155)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33319, 27921, 33316])).
% 28.80/19.32 tff(33321,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB155) | (~v145(constB155)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB155) | (~v145(constB155)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33322,plain,
% 28.80/19.32 (((~v145(constB155)) | v164(constB155)) <=> (v164(constB155) | (~v145(constB155)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33323,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB155)) | v164(constB155))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB155) | (~v145(constB155))))),
% 28.80/19.32 inference(monotonicity,[status(thm)],[33322])).
% 28.80/19.32 tff(33324,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB155)) | v164(constB155))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB155) | (~v145(constB155)))),
% 28.80/19.32 inference(transitivity,[status(thm)],[33323, 33321])).
% 28.80/19.32 tff(33325,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB155)) | v164(constB155))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33326,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB155) | (~v145(constB155))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33325, 33324])).
% 28.80/19.32 tff(33327,plain,
% 28.80/19.32 (v164(constB155)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33326, 27760, 33320])).
% 28.80/19.32 tff(33328,plain,
% 28.80/19.32 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB155)) | (~v164(constB155)) | v168(constB155))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB155)) | (~v164(constB155)) | v168(constB155))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33329,plain,
% 28.80/19.32 (((~v164(constB155)) | v168(constB155) | (~v161(constB155))) <=> ((~v161(constB155)) | (~v164(constB155)) | v168(constB155))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33330,plain,
% 28.80/19.32 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB155)) | v168(constB155) | (~v161(constB155)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB155)) | (~v164(constB155)) | v168(constB155)))),
% 28.80/19.32 inference(monotonicity,[status(thm)],[33329])).
% 28.80/19.32 tff(33331,plain,
% 28.80/19.32 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB155)) | v168(constB155) | (~v161(constB155)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB155)) | (~v164(constB155)) | v168(constB155))),
% 28.80/19.32 inference(transitivity,[status(thm)],[33330, 33328])).
% 28.80/19.32 tff(33332,plain,
% 28.80/19.32 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB155)) | v168(constB155) | (~v161(constB155)))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33333,plain,
% 28.80/19.32 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB155)) | (~v164(constB155)) | v168(constB155)),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33332, 33331])).
% 28.80/19.32 tff(33334,plain,
% 28.80/19.32 (~v161(constB155)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33333, 27156, 33327, 33305])).
% 28.80/19.32 tff(33335,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB155) | (~v187(constB155)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB155) | (~v187(constB155)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33336,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB155) | (~v187(constB155)))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33337,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB155) | (~v187(constB155))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33336, 33335])).
% 28.80/19.32 tff(33338,plain,
% 28.80/19.32 (~v187(constB155)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33337, 27174, 33334])).
% 28.80/19.32 tff(33339,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB155) | (~v185(constB155)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB155) | (~v185(constB155)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33340,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB155) | (~v185(constB155)))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33341,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB155) | (~v185(constB155))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33340, 33339])).
% 28.80/19.32 tff(33342,plain,
% 28.80/19.32 (~v185(constB155)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33341, 27188, 33338])).
% 28.80/19.32 tff(33343,assumption,(v18(constB156)), introduced(assumption)).
% 28.80/19.32 tff(33344,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB156))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33345,plain,
% 28.80/19.32 ($false),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33344, 27200, 33343])).
% 28.80/19.32 tff(33346,plain,(~v18(constB156)), inference(lemma,lemma(discharge,[]))).
% 28.80/19.32 tff(33347,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB156) | (~v1(constB156)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB156) | (~v1(constB156)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33348,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB156) | (~v1(constB156)))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33349,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB156) | (~v1(constB156))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33348, 33347])).
% 28.80/19.32 tff(33350,plain,
% 28.80/19.32 (v22(constB156)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33349, 27216, 22414])).
% 28.80/19.32 tff(33351,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB156) | (~v22(constB156)) | (~v19(constB156)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB156) | (~v22(constB156)) | (~v19(constB156)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33352,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB156) | (~v22(constB156)) | (~v19(constB156)))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33353,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB156) | (~v22(constB156)) | (~v19(constB156))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33352, 33351])).
% 28.80/19.32 tff(33354,plain,
% 28.80/19.32 (v18(constB156) | (~v19(constB156))),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33353, 27230, 33350])).
% 28.80/19.32 tff(33355,plain,
% 28.80/19.32 (~v19(constB156)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33354, 33346])).
% 28.80/19.32 tff(33356,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB156) | v19(constB156))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB156) | v19(constB156))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33357,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB156) | v19(constB156))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33358,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB156) | v19(constB156)),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33357, 33356])).
% 28.80/19.32 tff(33359,plain,
% 28.80/19.32 (v13(constB156)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33358, 27242, 33355])).
% 28.80/19.32 tff(33360,plain,
% 28.80/19.32 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB155) | (~v13(constB156)) | (~nextState(constB155, constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB155) | (~v13(constB156)) | (~nextState(constB155, constB156)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33361,plain,
% 28.80/19.32 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB155) | (~v13(constB156)) | (~nextState(constB155, constB156)))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33362,plain,
% 28.80/19.32 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB155) | (~v13(constB156)) | (~nextState(constB155, constB156))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33361, 33360])).
% 28.80/19.32 tff(33363,plain,
% 28.80/19.32 (v9(constB155) | (~v13(constB156))),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33362, 27259, 22394])).
% 28.80/19.32 tff(33364,plain,
% 28.80/19.32 (v9(constB155)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33363, 33359])).
% 28.80/19.32 tff(33365,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB155) | (~v9(constB155)) | v184(constB155))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB155) | (~v9(constB155)) | v184(constB155))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33366,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB155) | (~v9(constB155)) | v184(constB155))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33367,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB155) | (~v9(constB155)) | v184(constB155)),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33366, 33365])).
% 28.80/19.32 tff(33368,plain,
% 28.80/19.32 ((~v9(constB155)) | v184(constB155)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33367, 27274, 22268])).
% 28.80/19.32 tff(33369,plain,
% 28.80/19.32 (v184(constB155)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33368, 33364])).
% 28.80/19.32 tff(33370,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB155) | (~v184(constB155)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB155) | (~v184(constB155)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33371,plain,
% 28.80/19.32 (((~v184(constB155)) | v183(constB155)) <=> (v183(constB155) | (~v184(constB155)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33372,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB155)) | v183(constB155))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB155) | (~v184(constB155))))),
% 28.80/19.32 inference(monotonicity,[status(thm)],[33371])).
% 28.80/19.32 tff(33373,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB155)) | v183(constB155))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB155) | (~v184(constB155)))),
% 28.80/19.32 inference(transitivity,[status(thm)],[33372, 33370])).
% 28.80/19.32 tff(33374,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB155)) | v183(constB155))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33375,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB155) | (~v184(constB155))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33374, 33373])).
% 28.80/19.32 tff(33376,plain,
% 28.80/19.32 (v183(constB155)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33375, 27286, 33369])).
% 28.80/19.32 tff(33377,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB155)) | (~v183(constB155)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB155)) | (~v183(constB155)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33378,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB155)) | (~v183(constB155)))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33379,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB155)) | (~v183(constB155))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33378, 33377])).
% 28.80/19.32 tff(33380,plain,
% 28.80/19.32 (~v181(constB155)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33379, 27300, 33376])).
% 28.80/19.32 tff(33381,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB155) | v185(constB155) | (~v178(constB155)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB155) | v185(constB155) | (~v178(constB155)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33382,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB155) | v185(constB155) | (~v178(constB155)))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33383,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB155) | v185(constB155) | (~v178(constB155))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33382, 33381])).
% 28.80/19.32 tff(33384,plain,
% 28.80/19.32 (v185(constB155) | (~v178(constB155))),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33383, 27314, 33380])).
% 28.80/19.32 tff(33385,plain,
% 28.80/19.32 (~v178(constB155)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33384, 33342])).
% 28.80/19.32 tff(33386,plain,
% 28.80/19.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB155, constB156)) | v178(constB155) | (~v180(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB155, constB156)) | v178(constB155) | (~v180(constB156)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33387,plain,
% 28.80/19.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB155, constB156)) | v178(constB155) | (~v180(constB156)))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33388,plain,
% 28.80/19.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB155, constB156)) | v178(constB155) | (~v180(constB156))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33387, 33386])).
% 28.80/19.32 tff(33389,plain,
% 28.80/19.32 (v178(constB155) | (~v180(constB156))),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33388, 27329, 22394])).
% 28.80/19.32 tff(33390,plain,
% 28.80/19.32 (~v180(constB156)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33389, 33385])).
% 28.80/19.32 tff(33391,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB156) | (~v181(constB156)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB156) | (~v181(constB156)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33392,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB156) | (~v181(constB156)))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33393,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB156) | (~v181(constB156))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33392, 33391])).
% 28.80/19.32 tff(33394,plain,
% 28.80/19.32 (~v181(constB156)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33393, 27344, 33390])).
% 28.80/19.32 tff(33395,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB156)) | (~v184(constB156)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB156)) | (~v184(constB156)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33396,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB156)) | (~v184(constB156)))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33397,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB156)) | (~v184(constB156))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33396, 33395])).
% 28.80/19.32 tff(33398,plain,
% 28.80/19.32 (~v184(constB156)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33397, 59, 22414])).
% 28.80/19.32 tff(33399,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB156) | (~v187(constB156)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB156) | (~v187(constB156)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33400,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB156) | (~v187(constB156)))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33401,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB156) | (~v187(constB156))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33400, 33399])).
% 28.80/19.32 tff(33402,plain,
% 28.80/19.32 (~v187(constB156)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33401, 27362, 33398])).
% 28.80/19.32 tff(33403,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB156) | (~v185(constB156)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB156) | (~v185(constB156)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33404,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB156) | (~v185(constB156)))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33405,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB156) | (~v185(constB156))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33404, 33403])).
% 28.80/19.32 tff(33406,plain,
% 28.80/19.32 (~v185(constB156)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33405, 27188, 33402])).
% 28.80/19.32 tff(33407,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB156) | v185(constB156) | (~v178(constB156)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB156) | v185(constB156) | (~v178(constB156)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33408,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB156) | v185(constB156) | (~v178(constB156)))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33409,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB156) | v185(constB156) | (~v178(constB156))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33408, 33407])).
% 28.80/19.32 tff(33410,plain,
% 28.80/19.32 (v181(constB156) | (~v178(constB156))),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33409, 27314, 33406])).
% 28.80/19.32 tff(33411,plain,
% 28.80/19.32 (~v178(constB156)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33410, 33394])).
% 28.80/19.32 tff(33412,plain,
% 28.80/19.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB156, constB157)) | v178(constB156) | (~v180(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB156, constB157)) | v178(constB156) | (~v180(constB157)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33413,plain,
% 28.80/19.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB156, constB157)) | v178(constB156) | (~v180(constB157)))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33414,plain,
% 28.80/19.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB156, constB157)) | v178(constB156) | (~v180(constB157))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33413, 33412])).
% 28.80/19.32 tff(33415,plain,
% 28.80/19.32 (v178(constB156) | (~v180(constB157))),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33414, 27329, 22456])).
% 28.80/19.32 tff(33416,plain,
% 28.80/19.32 (~v180(constB157)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33415, 33411])).
% 28.80/19.32 tff(33417,plain,
% 28.80/19.32 ($false),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33416, 33285])).
% 28.80/19.32 tff(33418,plain,(~(constB157 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.80/19.32 tff(33419,assumption,(constB191 = sK_VarCurr), introduced(assumption)).
% 28.80/19.32 tff(33420,plain,
% 28.80/19.32 (v180(constB191) <=> v180(sK_VarCurr)),
% 28.80/19.32 inference(monotonicity,[status(thm)],[33419])).
% 28.80/19.32 tff(33421,plain,
% 28.80/19.32 (v180(sK_VarCurr) <=> v180(constB191)),
% 28.80/19.32 inference(symmetry,[status(thm)],[33420])).
% 28.80/19.32 tff(33422,plain,
% 28.80/19.32 (v180(constB191)),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[86, 33421])).
% 28.80/19.32 tff(33423,plain,
% 28.80/19.32 (v116(constB187)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[25997, 1272, 25990])).
% 28.80/19.32 tff(33424,plain,
% 28.80/19.32 (v115(constB187)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[26004, 286, 33423])).
% 28.80/19.32 tff(33425,plain,
% 28.80/19.32 (v114(constB187)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[26011, 300, 33424])).
% 28.80/19.32 tff(33426,plain,
% 28.80/19.32 (v113(constB187)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[26018, 314, 33425])).
% 28.80/19.32 tff(33427,plain,
% 28.80/19.32 (v112(constB187)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[26030, 33426])).
% 28.80/19.32 tff(33428,plain,
% 28.80/19.32 (v108(constB187)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[26037, 340, 33427])).
% 28.80/19.32 tff(33429,plain,
% 28.80/19.32 (v110(constB188)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[26048, 33428])).
% 28.80/19.32 tff(33430,plain,
% 28.80/19.32 (v100(constB188)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[26074, 33429])).
% 28.80/19.32 tff(33431,plain,
% 28.80/19.32 (v130(constB187, 2)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[26078, 1484, 25990])).
% 28.80/19.32 tff(33432,plain,
% 28.80/19.32 (v127(constB187, 2)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[26083, 33431])).
% 28.80/19.32 tff(33433,plain,
% 28.80/19.32 (v129(constB188, 2)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[26088, 33432])).
% 28.80/19.32 tff(33434,plain,
% 28.80/19.32 (v90(constB188, 2) | (~v100(constB188))),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[26095, 1528, 33433])).
% 28.80/19.32 tff(33435,plain,
% 28.80/19.32 (v90(constB188, 2)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33434, 33430])).
% 28.80/19.32 tff(33436,plain,
% 28.80/19.32 (v90(constB189, 2)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[26123, 33435])).
% 28.80/19.32 tff(33437,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB189, 2)) | v88(constB189, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB189, 2)) | v88(constB189, 2))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33438,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB189, 2)) | v88(constB189, 2))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33439,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB189, 2)) | v88(constB189, 2)),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33438, 33437])).
% 28.80/19.32 tff(33440,plain,
% 28.80/19.32 (v88(constB189, 2)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33439, 27680, 33436])).
% 28.80/19.32 tff(33441,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB189)) | (~v88(constB189, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB189)) | (~v88(constB189, 2)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33442,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB189)) | (~v88(constB189, 2)))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33443,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB189)) | (~v88(constB189, 2))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33442, 33441])).
% 28.80/19.32 tff(33444,plain,
% 28.80/19.32 (~v139(constB189)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33443, 27691, 33440])).
% 28.80/19.32 tff(33445,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB189)) | (~v88(constB189, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB189)) | (~v88(constB189, 2)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33446,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB189)) | (~v88(constB189, 2)))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33447,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB189)) | (~v88(constB189, 2))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33446, 33445])).
% 28.80/19.32 tff(33448,plain,
% 28.80/19.32 (~v140(constB189)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33447, 27702, 33440])).
% 28.80/19.32 tff(33449,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB189) | v140(constB189) | (~v168(constB189)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB189) | v140(constB189) | (~v168(constB189)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33450,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB189) | v140(constB189) | (~v168(constB189)))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33451,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB189) | v140(constB189) | (~v168(constB189))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33450, 33449])).
% 28.80/19.32 tff(33452,plain,
% 28.80/19.32 (~v168(constB189)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33451, 27142, 33448, 33444])).
% 28.80/19.32 tff(33453,plain,
% 28.80/19.32 (~v130(constB187, 1)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[26161, 1424, 25990])).
% 28.80/19.32 tff(33454,plain,
% 28.80/19.32 (~v127(constB187, 1)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[26169, 33453])).
% 28.80/19.32 tff(33455,plain,
% 28.80/19.32 (~v129(constB188, 1)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[26174, 33454])).
% 28.80/19.32 tff(33456,plain,
% 28.80/19.32 ((~v90(constB188, 1)) | (~v100(constB188))),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[26181, 574, 33455])).
% 28.80/19.32 tff(33457,plain,
% 28.80/19.32 (~v90(constB188, 1)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33456, 33430])).
% 28.80/19.32 tff(33458,plain,
% 28.80/19.32 (~v90(constB189, 1)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[26191, 33457])).
% 28.80/19.32 tff(33459,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB189, 1)) | v90(constB189, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB189, 1)) | v90(constB189, 1))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33460,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB189, 1)) | v90(constB189, 1))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33461,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB189, 1)) | v90(constB189, 1)),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33460, 33459])).
% 28.80/19.32 tff(33462,plain,
% 28.80/19.32 (~v88(constB189, 1)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33461, 27717, 33458])).
% 28.80/19.32 tff(33463,plain,
% 28.80/19.32 (~v130(constB187, 0)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[26127, 1351, 25990])).
% 28.80/19.32 tff(33464,plain,
% 28.80/19.32 (~v127(constB187, 0)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[26135, 33463])).
% 28.80/19.32 tff(33465,plain,
% 28.80/19.32 (~v129(constB188, 0)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[26140, 33464])).
% 28.80/19.32 tff(33466,plain,
% 28.80/19.32 ((~v90(constB188, 0)) | (~v100(constB188))),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[26147, 966, 33465])).
% 28.80/19.32 tff(33467,plain,
% 28.80/19.32 (~v90(constB188, 0)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33466, 33430])).
% 28.80/19.32 tff(33468,plain,
% 28.80/19.32 (~v90(constB189, 0)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[26157, 33467])).
% 28.80/19.32 tff(33469,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB189, 0)) | v90(constB189, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB189, 0)) | v90(constB189, 0))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33470,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB189, 0)) | v90(constB189, 0))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33471,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB189, 0)) | v90(constB189, 0)),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33470, 33469])).
% 28.80/19.32 tff(33472,plain,
% 28.80/19.32 (~v88(constB189, 0)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33471, 26990, 33468])).
% 28.80/19.32 tff(33473,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB189, 0) | v88(constB189, 1) | v146(constB189) | (~v88(constB189, 2)))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB189, 0) | v88(constB189, 1) | v146(constB189) | (~v88(constB189, 2)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33474,plain,
% 28.80/19.32 (((~v88(constB189, 2)) | v88(constB189, 1) | v88(constB189, 0) | v146(constB189)) <=> (v88(constB189, 0) | v88(constB189, 1) | v146(constB189) | (~v88(constB189, 2)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33475,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB189, 2)) | v88(constB189, 1) | v88(constB189, 0) | v146(constB189))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB189, 0) | v88(constB189, 1) | v146(constB189) | (~v88(constB189, 2))))),
% 28.80/19.32 inference(monotonicity,[status(thm)],[33474])).
% 28.80/19.32 tff(33476,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB189, 2)) | v88(constB189, 1) | v88(constB189, 0) | v146(constB189))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB189, 0) | v88(constB189, 1) | v146(constB189) | (~v88(constB189, 2)))),
% 28.80/19.32 inference(transitivity,[status(thm)],[33475, 33473])).
% 28.80/19.32 tff(33477,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB189, 2)) | v88(constB189, 1) | v88(constB189, 0) | v146(constB189))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33478,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB189, 0) | v88(constB189, 1) | v146(constB189) | (~v88(constB189, 2))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33477, 33476])).
% 28.80/19.32 tff(33479,plain,
% 28.80/19.32 (v146(constB189)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33478, 27735, 33440, 33472, 33462])).
% 28.80/19.32 tff(33480,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB189) | (~v146(constB189)))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB189) | (~v146(constB189)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33481,plain,
% 28.80/19.32 (((~v146(constB189)) | v145(constB189)) <=> (v145(constB189) | (~v146(constB189)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33482,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB189)) | v145(constB189))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB189) | (~v146(constB189))))),
% 28.80/19.32 inference(monotonicity,[status(thm)],[33481])).
% 28.80/19.32 tff(33483,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB189)) | v145(constB189))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB189) | (~v146(constB189)))),
% 28.80/19.32 inference(transitivity,[status(thm)],[33482, 33480])).
% 28.80/19.32 tff(33484,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB189)) | v145(constB189))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33485,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB189) | (~v146(constB189))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33484, 33483])).
% 28.80/19.32 tff(33486,plain,
% 28.80/19.32 (v145(constB189)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33485, 27749, 33479])).
% 28.80/19.32 tff(33487,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB189) | (~v145(constB189)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB189) | (~v145(constB189)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33488,plain,
% 28.80/19.32 (((~v145(constB189)) | v164(constB189)) <=> (v164(constB189) | (~v145(constB189)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33489,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB189)) | v164(constB189))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB189) | (~v145(constB189))))),
% 28.80/19.32 inference(monotonicity,[status(thm)],[33488])).
% 28.80/19.32 tff(33490,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB189)) | v164(constB189))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB189) | (~v145(constB189)))),
% 28.80/19.32 inference(transitivity,[status(thm)],[33489, 33487])).
% 28.80/19.32 tff(33491,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB189)) | v164(constB189))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33492,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB189) | (~v145(constB189))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33491, 33490])).
% 28.80/19.32 tff(33493,plain,
% 28.80/19.32 (v164(constB189)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33492, 27760, 33486])).
% 28.80/19.32 tff(33494,plain,
% 28.80/19.32 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB189)) | (~v164(constB189)) | v168(constB189))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB189)) | (~v164(constB189)) | v168(constB189))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33495,plain,
% 28.80/19.32 (((~v164(constB189)) | v168(constB189) | (~v161(constB189))) <=> ((~v161(constB189)) | (~v164(constB189)) | v168(constB189))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33496,plain,
% 28.80/19.32 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB189)) | v168(constB189) | (~v161(constB189)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB189)) | (~v164(constB189)) | v168(constB189)))),
% 28.80/19.32 inference(monotonicity,[status(thm)],[33495])).
% 28.80/19.32 tff(33497,plain,
% 28.80/19.32 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB189)) | v168(constB189) | (~v161(constB189)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB189)) | (~v164(constB189)) | v168(constB189))),
% 28.80/19.32 inference(transitivity,[status(thm)],[33496, 33494])).
% 28.80/19.32 tff(33498,plain,
% 28.80/19.32 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB189)) | v168(constB189) | (~v161(constB189)))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33499,plain,
% 28.80/19.32 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB189)) | (~v164(constB189)) | v168(constB189)),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33498, 33497])).
% 28.80/19.32 tff(33500,plain,
% 28.80/19.32 (~v161(constB189)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33499, 27156, 33493, 33452])).
% 28.80/19.32 tff(33501,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB189) | (~v187(constB189)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB189) | (~v187(constB189)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33502,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB189) | (~v187(constB189)))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33503,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB189) | (~v187(constB189))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33502, 33501])).
% 28.80/19.32 tff(33504,plain,
% 28.80/19.32 (~v187(constB189)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33503, 27174, 33500])).
% 28.80/19.32 tff(33505,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB189) | (~v185(constB189)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB189) | (~v185(constB189)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33506,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB189) | (~v185(constB189)))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33507,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB189) | (~v185(constB189))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33506, 33505])).
% 28.80/19.32 tff(33508,plain,
% 28.80/19.32 (~v185(constB189)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33507, 27188, 33504])).
% 28.80/19.32 tff(33509,assumption,(v18(constB190)), introduced(assumption)).
% 28.80/19.32 tff(33510,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB190))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33511,plain,
% 28.80/19.32 ($false),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33510, 27200, 33509])).
% 28.80/19.32 tff(33512,plain,(~v18(constB190)), inference(lemma,lemma(discharge,[]))).
% 28.80/19.32 tff(33513,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB190) | (~v1(constB190)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB190) | (~v1(constB190)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33514,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB190) | (~v1(constB190)))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33515,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB190) | (~v1(constB190))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33514, 33513])).
% 28.80/19.32 tff(33516,plain,
% 28.80/19.32 (v22(constB190)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33515, 27216, 26267])).
% 28.80/19.32 tff(33517,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB190) | (~v22(constB190)) | (~v19(constB190)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB190) | (~v22(constB190)) | (~v19(constB190)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33518,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB190) | (~v22(constB190)) | (~v19(constB190)))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33519,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB190) | (~v22(constB190)) | (~v19(constB190))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33518, 33517])).
% 28.80/19.32 tff(33520,plain,
% 28.80/19.32 (v18(constB190) | (~v19(constB190))),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33519, 27230, 33516])).
% 28.80/19.32 tff(33521,plain,
% 28.80/19.32 (~v19(constB190)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33520, 33512])).
% 28.80/19.32 tff(33522,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB190) | v19(constB190))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB190) | v19(constB190))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33523,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB190) | v19(constB190))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33524,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB190) | v19(constB190)),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33523, 33522])).
% 28.80/19.32 tff(33525,plain,
% 28.80/19.32 (v13(constB190)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33524, 27242, 33521])).
% 28.80/19.32 tff(33526,plain,
% 28.80/19.32 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB189) | (~v13(constB190)) | (~nextState(constB189, constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB189) | (~v13(constB190)) | (~nextState(constB189, constB190)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33527,plain,
% 28.80/19.32 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB189) | (~v13(constB190)) | (~nextState(constB189, constB190)))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33528,plain,
% 28.80/19.32 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB189) | (~v13(constB190)) | (~nextState(constB189, constB190))),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33527, 33526])).
% 28.80/19.32 tff(33529,plain,
% 28.80/19.32 (v9(constB189) | (~v13(constB190))),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33528, 27259, 26247])).
% 28.80/19.32 tff(33530,plain,
% 28.80/19.32 (v9(constB189)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33529, 33525])).
% 28.80/19.32 tff(33531,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB189) | (~v9(constB189)) | v184(constB189))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB189) | (~v9(constB189)) | v184(constB189))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33532,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB189) | (~v9(constB189)) | v184(constB189))),
% 28.80/19.32 inference(quant_inst,[status(thm)],[])).
% 28.80/19.32 tff(33533,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB189) | (~v9(constB189)) | v184(constB189)),
% 28.80/19.32 inference(modus_ponens,[status(thm)],[33532, 33531])).
% 28.80/19.32 tff(33534,plain,
% 28.80/19.32 ((~v9(constB189)) | v184(constB189)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33533, 27274, 26100])).
% 28.80/19.32 tff(33535,plain,
% 28.80/19.32 (v184(constB189)),
% 28.80/19.32 inference(unit_resolution,[status(thm)],[33534, 33530])).
% 28.80/19.32 tff(33536,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB189) | (~v184(constB189)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB189) | (~v184(constB189)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33537,plain,
% 28.80/19.32 (((~v184(constB189)) | v183(constB189)) <=> (v183(constB189) | (~v184(constB189)))),
% 28.80/19.32 inference(rewrite,[status(thm)],[])).
% 28.80/19.32 tff(33538,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB189)) | v183(constB189))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB189) | (~v184(constB189))))),
% 28.80/19.32 inference(monotonicity,[status(thm)],[33537])).
% 28.80/19.32 tff(33539,plain,
% 28.80/19.32 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB189)) | v183(constB189))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB189) | (~v184(constB189)))),
% 28.80/19.32 inference(transitivity,[status(thm)],[33538, 33536])).
% 28.80/19.32 tff(33540,plain,
% 28.80/19.32 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB189)) | v183(constB189))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33541,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB189) | (~v184(constB189))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33540, 33539])).
% 28.80/19.33 tff(33542,plain,
% 28.80/19.33 (v183(constB189)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33541, 27286, 33535])).
% 28.80/19.33 tff(33543,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB189)) | (~v183(constB189)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB189)) | (~v183(constB189)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33544,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB189)) | (~v183(constB189)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33545,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB189)) | (~v183(constB189))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33544, 33543])).
% 28.80/19.33 tff(33546,plain,
% 28.80/19.33 (~v181(constB189)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33545, 27300, 33542])).
% 28.80/19.33 tff(33547,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB189) | v185(constB189) | (~v178(constB189)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB189) | v185(constB189) | (~v178(constB189)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33548,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB189) | v185(constB189) | (~v178(constB189)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33549,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB189) | v185(constB189) | (~v178(constB189))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33548, 33547])).
% 28.80/19.33 tff(33550,plain,
% 28.80/19.33 (v185(constB189) | (~v178(constB189))),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33549, 27314, 33546])).
% 28.80/19.33 tff(33551,plain,
% 28.80/19.33 (~v178(constB189)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33550, 33508])).
% 28.80/19.33 tff(33552,plain,
% 28.80/19.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB189, constB190)) | v178(constB189) | (~v180(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB189, constB190)) | v178(constB189) | (~v180(constB190)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33553,plain,
% 28.80/19.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB189, constB190)) | v178(constB189) | (~v180(constB190)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33554,plain,
% 28.80/19.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB189, constB190)) | v178(constB189) | (~v180(constB190))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33553, 33552])).
% 28.80/19.33 tff(33555,plain,
% 28.80/19.33 (v178(constB189) | (~v180(constB190))),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33554, 27329, 26247])).
% 28.80/19.33 tff(33556,plain,
% 28.80/19.33 (~v180(constB190)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33555, 33551])).
% 28.80/19.33 tff(33557,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB190) | (~v181(constB190)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB190) | (~v181(constB190)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33558,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB190) | (~v181(constB190)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33559,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB190) | (~v181(constB190))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33558, 33557])).
% 28.80/19.33 tff(33560,plain,
% 28.80/19.33 (~v181(constB190)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33559, 27344, 33556])).
% 28.80/19.33 tff(33561,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB190)) | (~v184(constB190)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB190)) | (~v184(constB190)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33562,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB190)) | (~v184(constB190)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33563,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB190)) | (~v184(constB190))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33562, 33561])).
% 28.80/19.33 tff(33564,plain,
% 28.80/19.33 (~v184(constB190)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33563, 59, 26267])).
% 28.80/19.33 tff(33565,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB190) | (~v187(constB190)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB190) | (~v187(constB190)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33566,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB190) | (~v187(constB190)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33567,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB190) | (~v187(constB190))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33566, 33565])).
% 28.80/19.33 tff(33568,plain,
% 28.80/19.33 (~v187(constB190)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33567, 27362, 33564])).
% 28.80/19.33 tff(33569,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB190) | (~v185(constB190)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB190) | (~v185(constB190)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33570,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB190) | (~v185(constB190)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33571,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB190) | (~v185(constB190))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33570, 33569])).
% 28.80/19.33 tff(33572,plain,
% 28.80/19.33 (~v185(constB190)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33571, 27188, 33568])).
% 28.80/19.33 tff(33573,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB190) | v185(constB190) | (~v178(constB190)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB190) | v185(constB190) | (~v178(constB190)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33574,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB190) | v185(constB190) | (~v178(constB190)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33575,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB190) | v185(constB190) | (~v178(constB190))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33574, 33573])).
% 28.80/19.33 tff(33576,plain,
% 28.80/19.33 (v181(constB190) | (~v178(constB190))),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33575, 27314, 33572])).
% 28.80/19.33 tff(33577,plain,
% 28.80/19.33 (~v178(constB190)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33576, 33560])).
% 28.80/19.33 tff(33578,plain,
% 28.80/19.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB190, constB191)) | v178(constB190) | (~v180(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB190, constB191)) | v178(constB190) | (~v180(constB191)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33579,plain,
% 28.80/19.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB190, constB191)) | v178(constB190) | (~v180(constB191)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33580,plain,
% 28.80/19.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB190, constB191)) | v178(constB190) | (~v180(constB191))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33579, 33578])).
% 28.80/19.33 tff(33581,plain,
% 28.80/19.33 (v178(constB190) | (~v180(constB191))),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33580, 27329, 26313])).
% 28.80/19.33 tff(33582,plain,
% 28.80/19.33 (~v180(constB191)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33581, 33577])).
% 28.80/19.33 tff(33583,plain,
% 28.80/19.33 ($false),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33582, 33422])).
% 28.80/19.33 tff(33584,plain,(~(constB191 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.80/19.33 tff(33585,assumption,(constB111 = sK_VarCurr), introduced(assumption)).
% 28.80/19.33 tff(33586,plain,
% 28.80/19.33 (v180(constB111) <=> v180(sK_VarCurr)),
% 28.80/19.33 inference(monotonicity,[status(thm)],[33585])).
% 28.80/19.33 tff(33587,plain,
% 28.80/19.33 (v180(sK_VarCurr) <=> v180(constB111)),
% 28.80/19.33 inference(symmetry,[status(thm)],[33586])).
% 28.80/19.33 tff(33588,plain,
% 28.80/19.33 (v180(constB111)),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[86, 33587])).
% 28.80/19.33 tff(33589,plain,
% 28.80/19.33 (~v130(constB107, 0)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[14494, 1967, 13690])).
% 28.80/19.33 tff(33590,plain,
% 28.80/19.33 (~v127(constB107, 0)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[14490, 33589])).
% 28.80/19.33 tff(33591,plain,
% 28.80/19.33 (~v129(constB108, 0)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[14482, 33590])).
% 28.80/19.33 tff(33592,plain,
% 28.80/19.33 ((~v90(constB108, 0)) | (~v100(constB108))),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[14476, 966, 33591])).
% 28.80/19.33 tff(33593,plain,
% 28.80/19.33 (~v90(constB108, 0)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33592, 13767])).
% 28.80/19.33 tff(33594,plain,
% 28.80/19.33 (~v90(constB109, 0)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[14469, 33593])).
% 28.80/19.33 tff(33595,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB109, 0)) | v90(constB109, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB109, 0)) | v90(constB109, 0))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33596,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB109, 0)) | v90(constB109, 0))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33597,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB109, 0)) | v90(constB109, 0)),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33596, 33595])).
% 28.80/19.33 tff(33598,plain,
% 28.80/19.33 (~v88(constB109, 0)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33597, 26990, 33594])).
% 28.80/19.33 tff(33599,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB109, 2)) | v88(constB109, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB109, 2)) | v88(constB109, 2))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33600,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB109, 2)) | v88(constB109, 2))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33601,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB109, 2)) | v88(constB109, 2)),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33600, 33599])).
% 28.80/19.33 tff(33602,plain,
% 28.80/19.33 (v88(constB109, 2)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33601, 27680, 13867])).
% 28.80/19.33 tff(33603,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB109, 1)) | v88(constB109, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB109, 1)) | v88(constB109, 1))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33604,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB109, 1)) | v88(constB109, 1))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33605,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB109, 1)) | v88(constB109, 1)),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33604, 33603])).
% 28.80/19.33 tff(33606,plain,
% 28.80/19.33 (v88(constB109, 1)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33605, 26945, 13820])).
% 28.80/19.33 tff(33607,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB109, 1)) | (~v88(constB109, 2)) | v88(constB109, 0) | v144(constB109))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB109, 1)) | (~v88(constB109, 2)) | v88(constB109, 0) | v144(constB109))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33608,plain,
% 28.80/19.33 (((~v88(constB109, 2)) | (~v88(constB109, 1)) | v88(constB109, 0) | v144(constB109)) <=> ((~v88(constB109, 1)) | (~v88(constB109, 2)) | v88(constB109, 0) | v144(constB109))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33609,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB109, 2)) | (~v88(constB109, 1)) | v88(constB109, 0) | v144(constB109))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB109, 1)) | (~v88(constB109, 2)) | v88(constB109, 0) | v144(constB109)))),
% 28.80/19.33 inference(monotonicity,[status(thm)],[33608])).
% 28.80/19.33 tff(33610,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB109, 2)) | (~v88(constB109, 1)) | v88(constB109, 0) | v144(constB109))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB109, 1)) | (~v88(constB109, 2)) | v88(constB109, 0) | v144(constB109))),
% 28.80/19.33 inference(transitivity,[status(thm)],[33609, 33607])).
% 28.80/19.33 tff(33611,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB109, 2)) | (~v88(constB109, 1)) | v88(constB109, 0) | v144(constB109))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33612,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB109, 1)) | (~v88(constB109, 2)) | v88(constB109, 0) | v144(constB109)),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33611, 33610])).
% 28.80/19.33 tff(33613,plain,
% 28.80/19.33 (v144(constB109)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33612, 28458, 33606, 33602, 33598])).
% 28.80/19.33 tff(33614,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB109)) | v142(constB109))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB109)) | v142(constB109))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33615,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB109)) | v142(constB109))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33616,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB109)) | v142(constB109)),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33615, 33614])).
% 28.80/19.33 tff(33617,plain,
% 28.80/19.33 (v142(constB109)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33616, 28472, 33613])).
% 28.80/19.33 tff(33618,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB109)) | v165(constB109))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB109)) | v165(constB109))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33619,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB109)) | v165(constB109))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33620,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB109)) | v165(constB109)),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33619, 33618])).
% 28.80/19.33 tff(33621,plain,
% 28.80/19.33 (v165(constB109)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33620, 27075, 33617])).
% 28.80/19.33 tff(33622,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB109) | (~v165(constB109)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB109) | (~v165(constB109)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33623,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB109) | (~v165(constB109)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33624,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB109) | (~v165(constB109))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33623, 33622])).
% 28.80/19.33 tff(33625,plain,
% 28.80/19.33 (v164(constB109)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33624, 27089, 33621])).
% 28.80/19.33 tff(33626,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB109)) | (~v88(constB109, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB109)) | (~v88(constB109, 1)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33627,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB109)) | (~v88(constB109, 1)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33628,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB109)) | (~v88(constB109, 1))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33627, 33626])).
% 28.80/19.33 tff(33629,plain,
% 28.80/19.33 (~v139(constB109)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33628, 27117, 33606])).
% 28.80/19.33 tff(33630,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB109)) | (~v88(constB109, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB109)) | (~v88(constB109, 1)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33631,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB109)) | (~v88(constB109, 1)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33632,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB109)) | (~v88(constB109, 1))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33631, 33630])).
% 28.80/19.33 tff(33633,plain,
% 28.80/19.33 (~v140(constB109)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33632, 27128, 33606])).
% 28.80/19.33 tff(33634,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB109) | v140(constB109) | (~v168(constB109)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB109) | v140(constB109) | (~v168(constB109)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33635,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB109) | v140(constB109) | (~v168(constB109)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33636,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB109) | v140(constB109) | (~v168(constB109))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33635, 33634])).
% 28.80/19.33 tff(33637,plain,
% 28.80/19.33 (~v168(constB109)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33636, 27142, 33633, 33629])).
% 28.80/19.33 tff(33638,plain,
% 28.80/19.33 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB109)) | (~v164(constB109)) | v168(constB109))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB109)) | (~v164(constB109)) | v168(constB109))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33639,plain,
% 28.80/19.33 (((~v164(constB109)) | v168(constB109) | (~v161(constB109))) <=> ((~v161(constB109)) | (~v164(constB109)) | v168(constB109))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33640,plain,
% 28.80/19.33 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB109)) | v168(constB109) | (~v161(constB109)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB109)) | (~v164(constB109)) | v168(constB109)))),
% 28.80/19.33 inference(monotonicity,[status(thm)],[33639])).
% 28.80/19.33 tff(33641,plain,
% 28.80/19.33 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB109)) | v168(constB109) | (~v161(constB109)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB109)) | (~v164(constB109)) | v168(constB109))),
% 28.80/19.33 inference(transitivity,[status(thm)],[33640, 33638])).
% 28.80/19.33 tff(33642,plain,
% 28.80/19.33 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB109)) | v168(constB109) | (~v161(constB109)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33643,plain,
% 28.80/19.33 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB109)) | (~v164(constB109)) | v168(constB109)),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33642, 33641])).
% 28.80/19.33 tff(33644,plain,
% 28.80/19.33 ((~v161(constB109)) | (~v164(constB109))),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33643, 27156, 33637])).
% 28.80/19.33 tff(33645,plain,
% 28.80/19.33 (~v161(constB109)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33644, 33625])).
% 28.80/19.33 tff(33646,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB109) | (~v187(constB109)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB109) | (~v187(constB109)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33647,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB109) | (~v187(constB109)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33648,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB109) | (~v187(constB109))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33647, 33646])).
% 28.80/19.33 tff(33649,plain,
% 28.80/19.33 (~v187(constB109)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33648, 27174, 33645])).
% 28.80/19.33 tff(33650,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB109) | (~v185(constB109)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB109) | (~v185(constB109)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33651,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB109) | (~v185(constB109)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33652,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB109) | (~v185(constB109))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33651, 33650])).
% 28.80/19.33 tff(33653,plain,
% 28.80/19.33 (~v185(constB109)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33652, 27188, 33649])).
% 28.80/19.33 tff(33654,assumption,(v18(constB110)), introduced(assumption)).
% 28.80/19.33 tff(33655,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB110))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33656,plain,
% 28.80/19.33 ($false),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33655, 27200, 33654])).
% 28.80/19.33 tff(33657,plain,(~v18(constB110)), inference(lemma,lemma(discharge,[]))).
% 28.80/19.33 tff(33658,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB110) | (~v1(constB110)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB110) | (~v1(constB110)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33659,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB110) | (~v1(constB110)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33660,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB110) | (~v1(constB110))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33659, 33658])).
% 28.80/19.33 tff(33661,plain,
% 28.80/19.33 (v22(constB110)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33660, 27216, 13921])).
% 28.80/19.33 tff(33662,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB110) | (~v22(constB110)) | (~v19(constB110)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB110) | (~v22(constB110)) | (~v19(constB110)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33663,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB110) | (~v22(constB110)) | (~v19(constB110)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33664,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB110) | (~v22(constB110)) | (~v19(constB110))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33663, 33662])).
% 28.80/19.33 tff(33665,plain,
% 28.80/19.33 (v18(constB110) | (~v19(constB110))),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33664, 27230, 33661])).
% 28.80/19.33 tff(33666,plain,
% 28.80/19.33 (~v19(constB110)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33665, 33657])).
% 28.80/19.33 tff(33667,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB110) | v19(constB110))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB110) | v19(constB110))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33668,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB110) | v19(constB110))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33669,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB110) | v19(constB110)),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33668, 33667])).
% 28.80/19.33 tff(33670,plain,
% 28.80/19.33 (v13(constB110)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33669, 27242, 33666])).
% 28.80/19.33 tff(33671,plain,
% 28.80/19.33 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB109) | (~v13(constB110)) | (~nextState(constB109, constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB109) | (~v13(constB110)) | (~nextState(constB109, constB110)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33672,plain,
% 28.80/19.33 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB109) | (~v13(constB110)) | (~nextState(constB109, constB110)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33673,plain,
% 28.80/19.33 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB109) | (~v13(constB110)) | (~nextState(constB109, constB110))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33672, 33671])).
% 28.80/19.33 tff(33674,plain,
% 28.80/19.33 (v9(constB109) | (~v13(constB110))),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33673, 27259, 13894])).
% 28.80/19.33 tff(33675,plain,
% 28.80/19.33 (v9(constB109)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33674, 33670])).
% 28.80/19.33 tff(33676,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB109) | (~v9(constB109)) | v184(constB109))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB109) | (~v9(constB109)) | v184(constB109))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33677,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB109) | (~v9(constB109)) | v184(constB109))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33678,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB109) | (~v9(constB109)) | v184(constB109)),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33677, 33676])).
% 28.80/19.33 tff(33679,plain,
% 28.80/19.33 ((~v9(constB109)) | v184(constB109)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33678, 27274, 13796])).
% 28.80/19.33 tff(33680,plain,
% 28.80/19.33 (v184(constB109)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33679, 33675])).
% 28.80/19.33 tff(33681,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB109) | (~v184(constB109)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB109) | (~v184(constB109)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33682,plain,
% 28.80/19.33 (((~v184(constB109)) | v183(constB109)) <=> (v183(constB109) | (~v184(constB109)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33683,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB109)) | v183(constB109))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB109) | (~v184(constB109))))),
% 28.80/19.33 inference(monotonicity,[status(thm)],[33682])).
% 28.80/19.33 tff(33684,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB109)) | v183(constB109))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB109) | (~v184(constB109)))),
% 28.80/19.33 inference(transitivity,[status(thm)],[33683, 33681])).
% 28.80/19.33 tff(33685,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB109)) | v183(constB109))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33686,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB109) | (~v184(constB109))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33685, 33684])).
% 28.80/19.33 tff(33687,plain,
% 28.80/19.33 (v183(constB109)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33686, 27286, 33680])).
% 28.80/19.33 tff(33688,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB109)) | (~v183(constB109)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB109)) | (~v183(constB109)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33689,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB109)) | (~v183(constB109)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33690,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB109)) | (~v183(constB109))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33689, 33688])).
% 28.80/19.33 tff(33691,plain,
% 28.80/19.33 (~v181(constB109)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33690, 27300, 33687])).
% 28.80/19.33 tff(33692,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB109) | v185(constB109) | (~v178(constB109)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB109) | v185(constB109) | (~v178(constB109)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33693,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB109) | v185(constB109) | (~v178(constB109)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33694,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB109) | v185(constB109) | (~v178(constB109))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33693, 33692])).
% 28.80/19.33 tff(33695,plain,
% 28.80/19.33 (v185(constB109) | (~v178(constB109))),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33694, 27314, 33691])).
% 28.80/19.33 tff(33696,plain,
% 28.80/19.33 (~v178(constB109)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33695, 33653])).
% 28.80/19.33 tff(33697,plain,
% 28.80/19.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB109, constB110)) | v178(constB109) | (~v180(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB109, constB110)) | v178(constB109) | (~v180(constB110)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33698,plain,
% 28.80/19.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB109, constB110)) | v178(constB109) | (~v180(constB110)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33699,plain,
% 28.80/19.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB109, constB110)) | v178(constB109) | (~v180(constB110))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33698, 33697])).
% 28.80/19.33 tff(33700,plain,
% 28.80/19.33 (v178(constB109) | (~v180(constB110))),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33699, 27329, 13894])).
% 28.80/19.33 tff(33701,plain,
% 28.80/19.33 (~v180(constB110)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33700, 33696])).
% 28.80/19.33 tff(33702,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB110) | (~v181(constB110)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB110) | (~v181(constB110)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33703,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB110) | (~v181(constB110)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33704,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB110) | (~v181(constB110))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33703, 33702])).
% 28.80/19.33 tff(33705,plain,
% 28.80/19.33 (~v181(constB110)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33704, 27344, 33701])).
% 28.80/19.33 tff(33706,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB110)) | (~v184(constB110)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB110)) | (~v184(constB110)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33707,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB110)) | (~v184(constB110)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33708,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB110)) | (~v184(constB110))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33707, 33706])).
% 28.80/19.33 tff(33709,plain,
% 28.80/19.33 (~v184(constB110)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33708, 59, 13921])).
% 28.80/19.33 tff(33710,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB110) | (~v187(constB110)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB110) | (~v187(constB110)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33711,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB110) | (~v187(constB110)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33712,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB110) | (~v187(constB110))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33711, 33710])).
% 28.80/19.33 tff(33713,plain,
% 28.80/19.33 (~v187(constB110)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33712, 27362, 33709])).
% 28.80/19.33 tff(33714,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB110) | (~v185(constB110)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB110) | (~v185(constB110)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33715,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB110) | (~v185(constB110)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33716,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB110) | (~v185(constB110))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33715, 33714])).
% 28.80/19.33 tff(33717,plain,
% 28.80/19.33 (~v185(constB110)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33716, 27188, 33713])).
% 28.80/19.33 tff(33718,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB110) | v185(constB110) | (~v178(constB110)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB110) | v185(constB110) | (~v178(constB110)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33719,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB110) | v185(constB110) | (~v178(constB110)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33720,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB110) | v185(constB110) | (~v178(constB110))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33719, 33718])).
% 28.80/19.33 tff(33721,plain,
% 28.80/19.33 (v181(constB110) | (~v178(constB110))),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33720, 27314, 33717])).
% 28.80/19.33 tff(33722,plain,
% 28.80/19.33 (~v178(constB110)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33721, 33705])).
% 28.80/19.33 tff(33723,plain,
% 28.80/19.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB110, constB111)) | v178(constB110) | (~v180(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB110, constB111)) | v178(constB110) | (~v180(constB111)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33724,plain,
% 28.80/19.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB110, constB111)) | v178(constB110) | (~v180(constB111)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33725,plain,
% 28.80/19.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB110, constB111)) | v178(constB110) | (~v180(constB111))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33724, 33723])).
% 28.80/19.33 tff(33726,plain,
% 28.80/19.33 (v178(constB110) | (~v180(constB111))),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33725, 27329, 14516])).
% 28.80/19.33 tff(33727,plain,
% 28.80/19.33 (~v180(constB111)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33726, 33722])).
% 28.80/19.33 tff(33728,plain,
% 28.80/19.33 ($false),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33727, 33588])).
% 28.80/19.33 tff(33729,plain,(~(constB111 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.80/19.33 tff(33730,assumption,(constB98 = sK_VarCurr), introduced(assumption)).
% 28.80/19.33 tff(33731,plain,
% 28.80/19.33 (v1(constB98) <=> v1(sK_VarCurr)),
% 28.80/19.33 inference(monotonicity,[status(thm)],[33730])).
% 28.80/19.33 tff(33732,plain,
% 28.80/19.33 (v1(sK_VarCurr) <=> v1(constB98)),
% 28.80/19.33 inference(symmetry,[status(thm)],[33731])).
% 28.80/19.33 tff(33733,plain,
% 28.80/19.33 ((~v1(sK_VarCurr)) <=> (~v1(constB98))),
% 28.80/19.33 inference(monotonicity,[status(thm)],[33732])).
% 28.80/19.33 tff(33734,plain,
% 28.80/19.33 (~v1(constB98)),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[63, 33733])).
% 28.80/19.33 tff(33735,plain,
% 28.80/19.33 ($false),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[12725, 33734])).
% 28.80/19.33 tff(33736,plain,(~(constB98 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.80/19.33 tff(33737,assumption,(constB59 = sK_VarCurr), introduced(assumption)).
% 28.80/19.33 tff(33738,plain,
% 28.80/19.33 (v180(constB59) <=> v180(sK_VarCurr)),
% 28.80/19.33 inference(monotonicity,[status(thm)],[33737])).
% 28.80/19.33 tff(33739,plain,
% 28.80/19.33 (v180(sK_VarCurr) <=> v180(constB59)),
% 28.80/19.33 inference(symmetry,[status(thm)],[33738])).
% 28.80/19.33 tff(33740,plain,
% 28.80/19.33 (v180(constB59)),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[86, 33739])).
% 28.80/19.33 tff(33741,assumption,(v18(constB58)), introduced(assumption)).
% 28.80/19.33 tff(33742,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB58))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33743,plain,
% 28.80/19.33 ($false),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33742, 27200, 33741])).
% 28.80/19.33 tff(33744,plain,(~v18(constB58)), inference(lemma,lemma(discharge,[]))).
% 28.80/19.33 tff(33745,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB58) | (~v1(constB58)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB58) | (~v1(constB58)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33746,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB58) | (~v1(constB58)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33747,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB58) | (~v1(constB58))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33746, 33745])).
% 28.80/19.33 tff(33748,plain,
% 28.80/19.33 (v22(constB58)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33747, 27216, 8208])).
% 28.80/19.33 tff(33749,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB58) | (~v22(constB58)) | (~v19(constB58)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB58) | (~v22(constB58)) | (~v19(constB58)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33750,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB58) | (~v22(constB58)) | (~v19(constB58)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33751,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB58) | (~v22(constB58)) | (~v19(constB58))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33750, 33749])).
% 28.80/19.33 tff(33752,plain,
% 28.80/19.33 (v18(constB58) | (~v19(constB58))),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33751, 27230, 33748])).
% 28.80/19.33 tff(33753,plain,
% 28.80/19.33 (~v19(constB58)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33752, 33744])).
% 28.80/19.33 tff(33754,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB58) | v19(constB58))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB58) | v19(constB58))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33755,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB58) | v19(constB58))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33756,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB58) | v19(constB58)),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33755, 33754])).
% 28.80/19.33 tff(33757,plain,
% 28.80/19.33 (v13(constB58)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33756, 27242, 33753])).
% 28.80/19.33 tff(33758,plain,
% 28.80/19.33 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB57) | (~v13(constB58)) | (~nextState(constB57, constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB57) | (~v13(constB58)) | (~nextState(constB57, constB58)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33759,plain,
% 28.80/19.33 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB57) | (~v13(constB58)) | (~nextState(constB57, constB58)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33760,plain,
% 28.80/19.33 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB57) | (~v13(constB58)) | (~nextState(constB57, constB58))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33759, 33758])).
% 28.80/19.33 tff(33761,plain,
% 28.80/19.33 (v9(constB57) | (~v13(constB58))),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33760, 27259, 8188])).
% 28.80/19.33 tff(33762,plain,
% 28.80/19.33 (v9(constB57)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33761, 33757])).
% 28.80/19.33 tff(33763,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB57) | (~v9(constB57)) | v184(constB57))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB57) | (~v9(constB57)) | v184(constB57))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33764,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB57) | (~v9(constB57)) | v184(constB57))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33765,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB57) | (~v9(constB57)) | v184(constB57)),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33764, 33763])).
% 28.80/19.33 tff(33766,plain,
% 28.80/19.33 ((~v9(constB57)) | v184(constB57)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33765, 27274, 8055])).
% 28.80/19.33 tff(33767,plain,
% 28.80/19.33 (v184(constB57)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33766, 33762])).
% 28.80/19.33 tff(33768,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB57)) | v183(constB57))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB57)) | v183(constB57))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33769,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB57)) | v183(constB57))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33770,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB57)) | v183(constB57)),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33769, 33768])).
% 28.80/19.33 tff(33771,plain,
% 28.80/19.33 (v183(constB57)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33770, 27286, 33767])).
% 28.80/19.33 tff(33772,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB57)) | (~v183(constB57)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB57)) | (~v183(constB57)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33773,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB57)) | (~v183(constB57)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33774,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB57)) | (~v183(constB57))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33773, 33772])).
% 28.80/19.33 tff(33775,plain,
% 28.80/19.33 (~v181(constB57)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33774, 27300, 33771])).
% 28.80/19.33 tff(33776,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB57, 2)) | v88(constB57, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB57, 2)) | v88(constB57, 2))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33777,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB57, 2)) | v88(constB57, 2))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33778,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB57, 2)) | v88(constB57, 2)),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33777, 33776])).
% 28.80/19.33 tff(33779,plain,
% 28.80/19.33 (v88(constB57, 2)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33778, 27680, 8079])).
% 28.80/19.33 tff(33780,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB57)) | (~v88(constB57, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB57)) | (~v88(constB57, 2)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33781,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB57)) | (~v88(constB57, 2)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33782,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB57)) | (~v88(constB57, 2))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33781, 33780])).
% 28.80/19.33 tff(33783,plain,
% 28.80/19.33 (~v139(constB57)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33782, 27691, 33779])).
% 28.80/19.33 tff(33784,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB57)) | (~v88(constB57, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB57)) | (~v88(constB57, 2)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33785,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB57)) | (~v88(constB57, 2)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33786,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB57)) | (~v88(constB57, 2))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33785, 33784])).
% 28.80/19.33 tff(33787,plain,
% 28.80/19.33 (~v140(constB57)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33786, 27702, 33779])).
% 28.80/19.33 tff(33788,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB57) | v140(constB57) | (~v168(constB57)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB57) | v140(constB57) | (~v168(constB57)))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33789,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB57) | v140(constB57) | (~v168(constB57)))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33790,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB57) | v140(constB57) | (~v168(constB57))),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33789, 33788])).
% 28.80/19.33 tff(33791,plain,
% 28.80/19.33 (~v168(constB57)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33790, 27142, 33787, 33783])).
% 28.80/19.33 tff(33792,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB57, 1)) | v90(constB57, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB57, 1)) | v90(constB57, 1))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33793,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB57, 1)) | v90(constB57, 1))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33794,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB57, 1)) | v90(constB57, 1)),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33793, 33792])).
% 28.80/19.33 tff(33795,plain,
% 28.80/19.33 (~v88(constB57, 1)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33794, 27717, 8113])).
% 28.80/19.33 tff(33796,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB57, 0)) | v90(constB57, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB57, 0)) | v90(constB57, 0))),
% 28.80/19.33 inference(rewrite,[status(thm)],[])).
% 28.80/19.33 tff(33797,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB57, 0)) | v90(constB57, 0))),
% 28.80/19.33 inference(quant_inst,[status(thm)],[])).
% 28.80/19.33 tff(33798,plain,
% 28.80/19.33 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB57, 0)) | v90(constB57, 0)),
% 28.80/19.33 inference(modus_ponens,[status(thm)],[33797, 33796])).
% 28.80/19.33 tff(33799,plain,
% 28.80/19.33 (~v88(constB57, 0)),
% 28.80/19.33 inference(unit_resolution,[status(thm)],[33798, 26990, 8147])).
% 28.80/19.33 tff(33800,plain,
% 28.80/19.33 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB57, 0) | (~v88(constB57, 2)) | v88(constB57, 1) | v146(constB57))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB57, 0) | (~v88(constB57, 2)) | v88(constB57, 1) | v146(constB57))),
% 28.80/19.34 inference(rewrite,[status(thm)],[])).
% 28.80/19.34 tff(33801,plain,
% 28.80/19.34 (((~v88(constB57, 2)) | v88(constB57, 1) | v88(constB57, 0) | v146(constB57)) <=> (v88(constB57, 0) | (~v88(constB57, 2)) | v88(constB57, 1) | v146(constB57))),
% 28.80/19.34 inference(rewrite,[status(thm)],[])).
% 28.80/19.34 tff(33802,plain,
% 28.80/19.34 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB57, 2)) | v88(constB57, 1) | v88(constB57, 0) | v146(constB57))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB57, 0) | (~v88(constB57, 2)) | v88(constB57, 1) | v146(constB57)))),
% 28.80/19.34 inference(monotonicity,[status(thm)],[33801])).
% 28.80/19.34 tff(33803,plain,
% 28.80/19.34 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB57, 2)) | v88(constB57, 1) | v88(constB57, 0) | v146(constB57))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB57, 0) | (~v88(constB57, 2)) | v88(constB57, 1) | v146(constB57))),
% 28.80/19.34 inference(transitivity,[status(thm)],[33802, 33800])).
% 28.80/19.34 tff(33804,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB57, 2)) | v88(constB57, 1) | v88(constB57, 0) | v146(constB57))),
% 28.80/19.34 inference(quant_inst,[status(thm)],[])).
% 28.80/19.34 tff(33805,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB57, 0) | (~v88(constB57, 2)) | v88(constB57, 1) | v146(constB57)),
% 28.80/19.34 inference(modus_ponens,[status(thm)],[33804, 33803])).
% 28.80/19.34 tff(33806,plain,
% 28.80/19.34 (v146(constB57)),
% 28.80/19.34 inference(unit_resolution,[status(thm)],[33805, 27735, 33779, 33799, 33795])).
% 28.80/19.34 tff(33807,plain,
% 28.80/19.34 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB57) | (~v146(constB57)))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB57) | (~v146(constB57)))),
% 28.80/19.34 inference(rewrite,[status(thm)],[])).
% 28.80/19.34 tff(33808,plain,
% 28.80/19.34 (((~v146(constB57)) | v145(constB57)) <=> (v145(constB57) | (~v146(constB57)))),
% 28.80/19.34 inference(rewrite,[status(thm)],[])).
% 28.80/19.34 tff(33809,plain,
% 28.80/19.34 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB57)) | v145(constB57))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB57) | (~v146(constB57))))),
% 28.80/19.34 inference(monotonicity,[status(thm)],[33808])).
% 28.80/19.34 tff(33810,plain,
% 28.80/19.34 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB57)) | v145(constB57))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB57) | (~v146(constB57)))),
% 28.80/19.34 inference(transitivity,[status(thm)],[33809, 33807])).
% 28.80/19.34 tff(33811,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB57)) | v145(constB57))),
% 28.80/19.34 inference(quant_inst,[status(thm)],[])).
% 28.80/19.34 tff(33812,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB57) | (~v146(constB57))),
% 28.80/19.34 inference(modus_ponens,[status(thm)],[33811, 33810])).
% 28.80/19.34 tff(33813,plain,
% 28.80/19.34 (v145(constB57)),
% 28.80/19.34 inference(unit_resolution,[status(thm)],[33812, 27749, 33806])).
% 28.80/19.34 tff(33814,plain,
% 28.80/19.34 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB57) | (~v145(constB57)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB57) | (~v145(constB57)))),
% 28.80/19.34 inference(rewrite,[status(thm)],[])).
% 28.80/19.34 tff(33815,plain,
% 28.80/19.34 (((~v145(constB57)) | v164(constB57)) <=> (v164(constB57) | (~v145(constB57)))),
% 28.80/19.34 inference(rewrite,[status(thm)],[])).
% 28.80/19.34 tff(33816,plain,
% 28.80/19.34 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB57)) | v164(constB57))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB57) | (~v145(constB57))))),
% 28.80/19.34 inference(monotonicity,[status(thm)],[33815])).
% 28.80/19.34 tff(33817,plain,
% 28.80/19.34 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB57)) | v164(constB57))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB57) | (~v145(constB57)))),
% 28.80/19.34 inference(transitivity,[status(thm)],[33816, 33814])).
% 28.80/19.34 tff(33818,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB57)) | v164(constB57))),
% 28.80/19.34 inference(quant_inst,[status(thm)],[])).
% 28.80/19.34 tff(33819,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB57) | (~v145(constB57))),
% 28.80/19.34 inference(modus_ponens,[status(thm)],[33818, 33817])).
% 28.80/19.34 tff(33820,plain,
% 28.80/19.34 (v164(constB57)),
% 28.80/19.34 inference(unit_resolution,[status(thm)],[33819, 27760, 33813])).
% 28.80/19.34 tff(33821,plain,
% 28.80/19.34 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB57)) | v168(constB57) | (~v164(constB57)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB57)) | v168(constB57) | (~v164(constB57)))),
% 28.80/19.34 inference(rewrite,[status(thm)],[])).
% 28.80/19.34 tff(33822,plain,
% 28.80/19.34 (((~v164(constB57)) | v168(constB57) | (~v161(constB57))) <=> ((~v161(constB57)) | v168(constB57) | (~v164(constB57)))),
% 28.80/19.34 inference(rewrite,[status(thm)],[])).
% 28.80/19.34 tff(33823,plain,
% 28.80/19.34 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB57)) | v168(constB57) | (~v161(constB57)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB57)) | v168(constB57) | (~v164(constB57))))),
% 28.80/19.34 inference(monotonicity,[status(thm)],[33822])).
% 28.80/19.34 tff(33824,plain,
% 28.80/19.34 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB57)) | v168(constB57) | (~v161(constB57)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB57)) | v168(constB57) | (~v164(constB57)))),
% 28.80/19.34 inference(transitivity,[status(thm)],[33823, 33821])).
% 28.80/19.34 tff(33825,plain,
% 28.80/19.34 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB57)) | v168(constB57) | (~v161(constB57)))),
% 28.80/19.34 inference(quant_inst,[status(thm)],[])).
% 28.80/19.34 tff(33826,plain,
% 28.80/19.34 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB57)) | v168(constB57) | (~v164(constB57))),
% 28.80/19.34 inference(modus_ponens,[status(thm)],[33825, 33824])).
% 28.80/19.34 tff(33827,plain,
% 28.80/19.34 (~v161(constB57)),
% 28.80/19.34 inference(unit_resolution,[status(thm)],[33826, 27156, 33820, 33791])).
% 28.80/19.34 tff(33828,plain,
% 28.80/19.34 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB57) | (~v187(constB57)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB57) | (~v187(constB57)))),
% 28.80/19.34 inference(rewrite,[status(thm)],[])).
% 28.80/19.34 tff(33829,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB57) | (~v187(constB57)))),
% 28.80/19.34 inference(quant_inst,[status(thm)],[])).
% 28.80/19.34 tff(33830,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB57) | (~v187(constB57))),
% 28.80/19.34 inference(modus_ponens,[status(thm)],[33829, 33828])).
% 28.80/19.34 tff(33831,plain,
% 28.80/19.34 (~v187(constB57)),
% 28.80/19.34 inference(unit_resolution,[status(thm)],[33830, 27174, 33827])).
% 28.80/19.34 tff(33832,plain,
% 28.80/19.34 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB57) | (~v185(constB57)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB57) | (~v185(constB57)))),
% 28.80/19.34 inference(rewrite,[status(thm)],[])).
% 28.80/19.34 tff(33833,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB57) | (~v185(constB57)))),
% 28.80/19.34 inference(quant_inst,[status(thm)],[])).
% 28.80/19.34 tff(33834,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB57) | (~v185(constB57))),
% 28.80/19.34 inference(modus_ponens,[status(thm)],[33833, 33832])).
% 28.80/19.34 tff(33835,plain,
% 28.80/19.34 (~v185(constB57)),
% 28.80/19.34 inference(unit_resolution,[status(thm)],[33834, 27188, 33831])).
% 28.80/19.34 tff(33836,plain,
% 28.80/19.34 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB57) | v185(constB57) | (~v178(constB57)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB57) | v185(constB57) | (~v178(constB57)))),
% 28.80/19.34 inference(rewrite,[status(thm)],[])).
% 28.80/19.34 tff(33837,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB57) | v185(constB57) | (~v178(constB57)))),
% 28.80/19.34 inference(quant_inst,[status(thm)],[])).
% 28.80/19.34 tff(33838,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB57) | v185(constB57) | (~v178(constB57))),
% 28.80/19.34 inference(modus_ponens,[status(thm)],[33837, 33836])).
% 28.80/19.34 tff(33839,plain,
% 28.80/19.34 (v181(constB57) | (~v178(constB57))),
% 28.80/19.34 inference(unit_resolution,[status(thm)],[33838, 27314, 33835])).
% 28.80/19.34 tff(33840,plain,
% 28.80/19.34 (~v178(constB57)),
% 28.80/19.34 inference(unit_resolution,[status(thm)],[33839, 33775])).
% 28.80/19.34 tff(33841,plain,
% 28.80/19.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB57, constB58)) | v178(constB57) | (~v180(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB57, constB58)) | v178(constB57) | (~v180(constB58)))),
% 28.80/19.34 inference(rewrite,[status(thm)],[])).
% 28.80/19.34 tff(33842,plain,
% 28.80/19.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB57, constB58)) | v178(constB57) | (~v180(constB58)))),
% 28.80/19.34 inference(quant_inst,[status(thm)],[])).
% 28.80/19.34 tff(33843,plain,
% 28.80/19.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB57, constB58)) | v178(constB57) | (~v180(constB58))),
% 28.80/19.34 inference(modus_ponens,[status(thm)],[33842, 33841])).
% 28.80/19.34 tff(33844,plain,
% 28.80/19.34 (v178(constB57) | (~v180(constB58))),
% 28.80/19.34 inference(unit_resolution,[status(thm)],[33843, 27329, 8188])).
% 28.80/19.34 tff(33845,plain,
% 28.80/19.34 (~v180(constB58)),
% 28.80/19.34 inference(unit_resolution,[status(thm)],[33844, 33840])).
% 28.80/19.34 tff(33846,plain,
% 28.80/19.34 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB58) | (~v181(constB58)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB58) | (~v181(constB58)))),
% 28.80/19.34 inference(rewrite,[status(thm)],[])).
% 28.80/19.34 tff(33847,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB58) | (~v181(constB58)))),
% 28.80/19.34 inference(quant_inst,[status(thm)],[])).
% 28.80/19.34 tff(33848,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB58) | (~v181(constB58))),
% 28.80/19.34 inference(modus_ponens,[status(thm)],[33847, 33846])).
% 28.80/19.34 tff(33849,plain,
% 28.80/19.34 (~v181(constB58)),
% 28.80/19.34 inference(unit_resolution,[status(thm)],[33848, 27344, 33845])).
% 28.80/19.34 tff(33850,plain,
% 28.80/19.34 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB58)) | (~v184(constB58)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB58)) | (~v184(constB58)))),
% 28.80/19.34 inference(rewrite,[status(thm)],[])).
% 28.80/19.34 tff(33851,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB58)) | (~v184(constB58)))),
% 28.80/19.34 inference(quant_inst,[status(thm)],[])).
% 28.80/19.34 tff(33852,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB58)) | (~v184(constB58))),
% 28.80/19.34 inference(modus_ponens,[status(thm)],[33851, 33850])).
% 28.80/19.34 tff(33853,plain,
% 28.80/19.34 (~v184(constB58)),
% 28.80/19.34 inference(unit_resolution,[status(thm)],[33852, 59, 8208])).
% 28.80/19.34 tff(33854,plain,
% 28.80/19.34 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB58) | (~v187(constB58)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB58) | (~v187(constB58)))),
% 28.80/19.34 inference(rewrite,[status(thm)],[])).
% 28.80/19.34 tff(33855,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB58) | (~v187(constB58)))),
% 28.80/19.34 inference(quant_inst,[status(thm)],[])).
% 28.80/19.34 tff(33856,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB58) | (~v187(constB58))),
% 28.80/19.34 inference(modus_ponens,[status(thm)],[33855, 33854])).
% 28.80/19.34 tff(33857,plain,
% 28.80/19.34 (~v187(constB58)),
% 28.80/19.34 inference(unit_resolution,[status(thm)],[33856, 27362, 33853])).
% 28.80/19.34 tff(33858,plain,
% 28.80/19.34 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB58) | (~v185(constB58)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB58) | (~v185(constB58)))),
% 28.80/19.34 inference(rewrite,[status(thm)],[])).
% 28.80/19.34 tff(33859,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB58) | (~v185(constB58)))),
% 28.80/19.34 inference(quant_inst,[status(thm)],[])).
% 28.80/19.34 tff(33860,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB58) | (~v185(constB58))),
% 28.80/19.34 inference(modus_ponens,[status(thm)],[33859, 33858])).
% 28.80/19.34 tff(33861,plain,
% 28.80/19.34 (~v185(constB58)),
% 28.80/19.34 inference(unit_resolution,[status(thm)],[33860, 27188, 33857])).
% 28.80/19.34 tff(33862,plain,
% 28.80/19.34 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB58) | v185(constB58) | (~v178(constB58)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB58) | v185(constB58) | (~v178(constB58)))),
% 28.80/19.34 inference(rewrite,[status(thm)],[])).
% 28.80/19.34 tff(33863,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB58) | v185(constB58) | (~v178(constB58)))),
% 28.80/19.34 inference(quant_inst,[status(thm)],[])).
% 28.80/19.34 tff(33864,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB58) | v185(constB58) | (~v178(constB58))),
% 28.80/19.34 inference(modus_ponens,[status(thm)],[33863, 33862])).
% 28.80/19.34 tff(33865,plain,
% 28.80/19.34 (v181(constB58) | (~v178(constB58))),
% 28.80/19.34 inference(unit_resolution,[status(thm)],[33864, 27314, 33861])).
% 28.80/19.34 tff(33866,plain,
% 28.80/19.34 (~v178(constB58)),
% 28.80/19.34 inference(unit_resolution,[status(thm)],[33865, 33849])).
% 28.80/19.34 tff(33867,plain,
% 28.80/19.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB58, constB59)) | v178(constB58) | (~v180(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB58, constB59)) | v178(constB58) | (~v180(constB59)))),
% 28.80/19.34 inference(rewrite,[status(thm)],[])).
% 28.80/19.34 tff(33868,plain,
% 28.80/19.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB58, constB59)) | v178(constB58) | (~v180(constB59)))),
% 28.80/19.34 inference(quant_inst,[status(thm)],[])).
% 28.80/19.34 tff(33869,plain,
% 28.80/19.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB58, constB59)) | v178(constB58) | (~v180(constB59))),
% 28.80/19.34 inference(modus_ponens,[status(thm)],[33868, 33867])).
% 28.80/19.34 tff(33870,plain,
% 28.80/19.34 (v178(constB58) | (~v180(constB59))),
% 28.80/19.34 inference(unit_resolution,[status(thm)],[33869, 27329, 8250])).
% 28.80/19.34 tff(33871,plain,
% 28.80/19.34 (~v180(constB59)),
% 28.80/19.34 inference(unit_resolution,[status(thm)],[33870, 33866])).
% 28.80/19.34 tff(33872,plain,
% 28.80/19.34 ($false),
% 28.80/19.34 inference(unit_resolution,[status(thm)],[33871, 33740])).
% 28.80/19.34 tff(33873,plain,(~(constB59 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.80/19.34 tff(33874,assumption,(constB95 = sK_VarCurr), introduced(assumption)).
% 28.80/19.34 tff(33875,plain,
% 28.80/19.34 (v180(constB95) <=> v180(sK_VarCurr)),
% 28.80/19.34 inference(monotonicity,[status(thm)],[33874])).
% 28.80/19.34 tff(33876,plain,
% 28.80/19.34 (v180(sK_VarCurr) <=> v180(constB95)),
% 28.80/19.34 inference(symmetry,[status(thm)],[33875])).
% 28.80/19.34 tff(33877,plain,
% 28.80/19.34 (v180(constB95)),
% 28.80/19.34 inference(modus_ponens,[status(thm)],[86, 33876])).
% 28.80/19.34 tff(33878,plain,
% 28.80/19.34 ($false),
% 28.80/19.34 inference(unit_resolution,[status(thm)],[28078, 33877])).
% 28.80/19.34 tff(33879,plain,(~(constB95 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.80/19.34 tff(33880,assumption,(constB35 = sK_VarCurr), introduced(assumption)).
% 28.80/19.34 tff(33881,plain,
% 28.80/19.34 (v180(constB35) <=> v180(sK_VarCurr)),
% 28.80/19.34 inference(monotonicity,[status(thm)],[33880])).
% 28.80/19.34 tff(33882,plain,
% 28.80/19.34 (v180(sK_VarCurr) <=> v180(constB35)),
% 28.80/19.34 inference(symmetry,[status(thm)],[33881])).
% 28.80/19.34 tff(33883,plain,
% 28.80/19.34 (v180(constB35)),
% 28.80/19.34 inference(modus_ponens,[status(thm)],[86, 33882])).
% 28.80/19.34 tff(33884,plain,
% 28.80/19.34 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB33, 0)) | v90(constB33, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB33, 0)) | v90(constB33, 0))),
% 28.80/19.34 inference(rewrite,[status(thm)],[])).
% 28.80/19.34 tff(33885,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB33, 0)) | v90(constB33, 0))),
% 28.80/19.34 inference(quant_inst,[status(thm)],[])).
% 28.80/19.34 tff(33886,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB33, 0)) | v90(constB33, 0)),
% 28.80/19.34 inference(modus_ponens,[status(thm)],[33885, 33884])).
% 28.80/19.34 tff(33887,plain,
% 28.80/19.34 (~v88(constB33, 0)),
% 28.80/19.34 inference(unit_resolution,[status(thm)],[33886, 26990, 5675])).
% 28.80/19.34 tff(33888,plain,
% 28.80/19.34 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB33, 1)) | v90(constB33, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB33, 1)) | v90(constB33, 1))),
% 28.80/19.34 inference(rewrite,[status(thm)],[])).
% 28.80/19.34 tff(33889,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB33, 1)) | v90(constB33, 1))),
% 28.80/19.34 inference(quant_inst,[status(thm)],[])).
% 28.80/19.34 tff(33890,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB33, 1)) | v90(constB33, 1)),
% 28.80/19.34 inference(modus_ponens,[status(thm)],[33889, 33888])).
% 28.80/19.34 tff(33891,plain,
% 28.80/19.34 (~v88(constB33, 1)),
% 28.80/19.34 inference(unit_resolution,[status(thm)],[33890, 27717, 5709])).
% 28.80/19.34 tff(33892,plain,
% 28.80/19.34 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB33, 2)) | v88(constB33, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB33, 2)) | v88(constB33, 2))),
% 28.80/19.34 inference(rewrite,[status(thm)],[])).
% 28.80/19.34 tff(33893,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB33, 2)) | v88(constB33, 2))),
% 28.80/19.34 inference(quant_inst,[status(thm)],[])).
% 28.80/19.34 tff(33894,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB33, 2)) | v88(constB33, 2)),
% 28.80/19.34 inference(modus_ponens,[status(thm)],[33893, 33892])).
% 28.80/19.34 tff(33895,plain,
% 28.80/19.34 (v88(constB33, 2)),
% 28.80/19.34 inference(unit_resolution,[status(thm)],[33894, 27680, 5719])).
% 28.80/19.34 tff(33896,plain,
% 28.80/19.34 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB33, 2)) | v146(constB33) | v88(constB33, 1) | v88(constB33, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (~v88(constB33, 2)) | v146(constB33) | v88(constB33, 1) | v88(constB33, 0))),
% 28.80/19.34 inference(rewrite,[status(thm)],[])).
% 28.80/19.34 tff(33897,plain,
% 28.80/19.34 (((~v88(constB33, 2)) | v88(constB33, 1) | v88(constB33, 0) | v146(constB33)) <=> ((~v88(constB33, 2)) | v146(constB33) | v88(constB33, 1) | v88(constB33, 0))),
% 28.80/19.34 inference(rewrite,[status(thm)],[])).
% 28.80/19.34 tff(33898,plain,
% 28.80/19.34 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB33, 2)) | v88(constB33, 1) | v88(constB33, 0) | v146(constB33))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB33, 2)) | v146(constB33) | v88(constB33, 1) | v88(constB33, 0)))),
% 28.80/19.34 inference(monotonicity,[status(thm)],[33897])).
% 28.80/19.34 tff(33899,plain,
% 28.80/19.34 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB33, 2)) | v88(constB33, 1) | v88(constB33, 0) | v146(constB33))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (~v88(constB33, 2)) | v146(constB33) | v88(constB33, 1) | v88(constB33, 0))),
% 28.80/19.34 inference(transitivity,[status(thm)],[33898, 33896])).
% 28.80/19.34 tff(33900,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB33, 2)) | v88(constB33, 1) | v88(constB33, 0) | v146(constB33))),
% 28.80/19.34 inference(quant_inst,[status(thm)],[])).
% 28.80/19.34 tff(33901,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (~v88(constB33, 2)) | v146(constB33) | v88(constB33, 1) | v88(constB33, 0)),
% 28.80/19.34 inference(modus_ponens,[status(thm)],[33900, 33899])).
% 28.80/19.34 tff(33902,plain,
% 28.80/19.34 (v146(constB33) | v88(constB33, 1) | v88(constB33, 0)),
% 28.80/19.34 inference(unit_resolution,[status(thm)],[33901, 27735, 33895])).
% 28.80/19.34 tff(33903,plain,
% 28.80/19.34 (v146(constB33)),
% 28.80/19.34 inference(unit_resolution,[status(thm)],[33902, 33891, 33887])).
% 28.80/19.34 tff(33904,plain,
% 28.80/19.34 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB33)) | v145(constB33))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB33)) | v145(constB33))),
% 28.80/19.34 inference(rewrite,[status(thm)],[])).
% 28.80/19.34 tff(33905,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB33)) | v145(constB33))),
% 28.80/19.34 inference(quant_inst,[status(thm)],[])).
% 28.80/19.34 tff(33906,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB33)) | v145(constB33)),
% 28.80/19.34 inference(modus_ponens,[status(thm)],[33905, 33904])).
% 28.80/19.34 tff(33907,plain,
% 28.80/19.34 (v145(constB33)),
% 28.80/19.34 inference(unit_resolution,[status(thm)],[33906, 27749, 33903])).
% 28.80/19.34 tff(33908,plain,
% 28.80/19.34 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB33) | (~v145(constB33)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB33) | (~v145(constB33)))),
% 28.80/19.34 inference(rewrite,[status(thm)],[])).
% 28.80/19.34 tff(33909,plain,
% 28.80/19.34 (((~v145(constB33)) | v164(constB33)) <=> (v164(constB33) | (~v145(constB33)))),
% 28.80/19.34 inference(rewrite,[status(thm)],[])).
% 28.80/19.34 tff(33910,plain,
% 28.80/19.34 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB33)) | v164(constB33))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB33) | (~v145(constB33))))),
% 28.80/19.34 inference(monotonicity,[status(thm)],[33909])).
% 28.80/19.34 tff(33911,plain,
% 28.80/19.34 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB33)) | v164(constB33))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB33) | (~v145(constB33)))),
% 28.80/19.34 inference(transitivity,[status(thm)],[33910, 33908])).
% 28.80/19.34 tff(33912,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB33)) | v164(constB33))),
% 28.80/19.34 inference(quant_inst,[status(thm)],[])).
% 28.80/19.34 tff(33913,plain,
% 28.80/19.34 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB33) | (~v145(constB33))),
% 28.80/19.34 inference(modus_ponens,[status(thm)],[33912, 33911])).
% 28.80/19.34 tff(33914,plain,
% 28.80/19.34 (v164(constB33)),
% 28.80/19.34 inference(unit_resolution,[status(thm)],[33913, 27760, 33907])).
% 28.80/19.34 tff(33915,plain,
% 28.80/19.34 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB33)) | (~v88(constB33, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB33)) | (~v88(constB33, 2)))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(33916,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB33)) | (~v88(constB33, 2)))),
% 28.82/19.34 inference(quant_inst,[status(thm)],[])).
% 28.82/19.34 tff(33917,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB33)) | (~v88(constB33, 2))),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[33916, 33915])).
% 28.82/19.34 tff(33918,plain,
% 28.82/19.34 (~v140(constB33)),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[33917, 27702, 33895])).
% 28.82/19.34 tff(33919,plain,
% 28.82/19.34 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB33)) | (~v88(constB33, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB33)) | (~v88(constB33, 2)))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(33920,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB33)) | (~v88(constB33, 2)))),
% 28.82/19.34 inference(quant_inst,[status(thm)],[])).
% 28.82/19.34 tff(33921,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB33)) | (~v88(constB33, 2))),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[33920, 33919])).
% 28.82/19.34 tff(33922,plain,
% 28.82/19.34 (~v139(constB33)),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[33921, 27691, 33895])).
% 28.82/19.34 tff(33923,plain,
% 28.82/19.34 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB33) | v140(constB33) | (~v168(constB33)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB33) | v140(constB33) | (~v168(constB33)))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(33924,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB33) | v140(constB33) | (~v168(constB33)))),
% 28.82/19.34 inference(quant_inst,[status(thm)],[])).
% 28.82/19.34 tff(33925,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB33) | v140(constB33) | (~v168(constB33))),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[33924, 33923])).
% 28.82/19.34 tff(33926,plain,
% 28.82/19.34 (~v168(constB33)),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[33925, 27142, 33922, 33918])).
% 28.82/19.34 tff(33927,plain,
% 28.82/19.34 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB33)) | (~v164(constB33)) | v168(constB33))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB33)) | (~v164(constB33)) | v168(constB33))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(33928,plain,
% 28.82/19.34 (((~v164(constB33)) | v168(constB33) | (~v161(constB33))) <=> ((~v161(constB33)) | (~v164(constB33)) | v168(constB33))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(33929,plain,
% 28.82/19.34 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB33)) | v168(constB33) | (~v161(constB33)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB33)) | (~v164(constB33)) | v168(constB33)))),
% 28.82/19.34 inference(monotonicity,[status(thm)],[33928])).
% 28.82/19.34 tff(33930,plain,
% 28.82/19.34 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB33)) | v168(constB33) | (~v161(constB33)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB33)) | (~v164(constB33)) | v168(constB33))),
% 28.82/19.34 inference(transitivity,[status(thm)],[33929, 33927])).
% 28.82/19.34 tff(33931,plain,
% 28.82/19.34 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB33)) | v168(constB33) | (~v161(constB33)))),
% 28.82/19.34 inference(quant_inst,[status(thm)],[])).
% 28.82/19.34 tff(33932,plain,
% 28.82/19.34 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB33)) | (~v164(constB33)) | v168(constB33)),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[33931, 33930])).
% 28.82/19.34 tff(33933,plain,
% 28.82/19.34 ((~v161(constB33)) | (~v164(constB33))),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[33932, 27156, 33926])).
% 28.82/19.34 tff(33934,plain,
% 28.82/19.34 (~v161(constB33)),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[33933, 33914])).
% 28.82/19.34 tff(33935,plain,
% 28.82/19.34 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB33) | (~v187(constB33)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB33) | (~v187(constB33)))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(33936,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB33) | (~v187(constB33)))),
% 28.82/19.34 inference(quant_inst,[status(thm)],[])).
% 28.82/19.34 tff(33937,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB33) | (~v187(constB33))),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[33936, 33935])).
% 28.82/19.34 tff(33938,plain,
% 28.82/19.34 (~v187(constB33)),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[33937, 27174, 33934])).
% 28.82/19.34 tff(33939,plain,
% 28.82/19.34 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB33) | (~v185(constB33)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB33) | (~v185(constB33)))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(33940,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB33) | (~v185(constB33)))),
% 28.82/19.34 inference(quant_inst,[status(thm)],[])).
% 28.82/19.34 tff(33941,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB33) | (~v185(constB33))),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[33940, 33939])).
% 28.82/19.34 tff(33942,plain,
% 28.82/19.34 (~v185(constB33)),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[33941, 27188, 33938])).
% 28.82/19.34 tff(33943,assumption,(v18(constB34)), introduced(assumption)).
% 28.82/19.34 tff(33944,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB34))),
% 28.82/19.34 inference(quant_inst,[status(thm)],[])).
% 28.82/19.34 tff(33945,plain,
% 28.82/19.34 ($false),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[33944, 27200, 33943])).
% 28.82/19.34 tff(33946,plain,(~v18(constB34)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.34 tff(33947,plain,
% 28.82/19.34 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB34) | (~v1(constB34)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB34) | (~v1(constB34)))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(33948,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB34) | (~v1(constB34)))),
% 28.82/19.34 inference(quant_inst,[status(thm)],[])).
% 28.82/19.34 tff(33949,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB34) | (~v1(constB34))),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[33948, 33947])).
% 28.82/19.34 tff(33950,plain,
% 28.82/19.34 (v22(constB34)),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[33949, 27216, 5781])).
% 28.82/19.34 tff(33951,plain,
% 28.82/19.34 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB34) | (~v22(constB34)) | (~v19(constB34)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB34) | (~v22(constB34)) | (~v19(constB34)))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(33952,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB34) | (~v22(constB34)) | (~v19(constB34)))),
% 28.82/19.34 inference(quant_inst,[status(thm)],[])).
% 28.82/19.34 tff(33953,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB34) | (~v22(constB34)) | (~v19(constB34))),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[33952, 33951])).
% 28.82/19.34 tff(33954,plain,
% 28.82/19.34 (v18(constB34) | (~v19(constB34))),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[33953, 27230, 33950])).
% 28.82/19.34 tff(33955,plain,
% 28.82/19.34 (~v19(constB34)),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[33954, 33946])).
% 28.82/19.34 tff(33956,plain,
% 28.82/19.34 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB34) | v19(constB34))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB34) | v19(constB34))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(33957,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB34) | v19(constB34))),
% 28.82/19.34 inference(quant_inst,[status(thm)],[])).
% 28.82/19.34 tff(33958,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB34) | v19(constB34)),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[33957, 33956])).
% 28.82/19.34 tff(33959,plain,
% 28.82/19.34 (v13(constB34)),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[33958, 27242, 33955])).
% 28.82/19.34 tff(33960,plain,
% 28.82/19.34 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB33) | (~v13(constB34)) | (~nextState(constB33, constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB33) | (~v13(constB34)) | (~nextState(constB33, constB34)))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(33961,plain,
% 28.82/19.34 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB33) | (~v13(constB34)) | (~nextState(constB33, constB34)))),
% 28.82/19.34 inference(quant_inst,[status(thm)],[])).
% 28.82/19.34 tff(33962,plain,
% 28.82/19.34 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB33) | (~v13(constB34)) | (~nextState(constB33, constB34))),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[33961, 33960])).
% 28.82/19.34 tff(33963,plain,
% 28.82/19.34 (v9(constB33) | (~v13(constB34))),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[33962, 27259, 5761])).
% 28.82/19.34 tff(33964,plain,
% 28.82/19.34 (v9(constB33)),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[33963, 33959])).
% 28.82/19.34 tff(33965,plain,
% 28.82/19.34 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB33) | (~v9(constB33)) | v184(constB33))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB33) | (~v9(constB33)) | v184(constB33))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(33966,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB33) | (~v9(constB33)) | v184(constB33))),
% 28.82/19.34 inference(quant_inst,[status(thm)],[])).
% 28.82/19.34 tff(33967,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB33) | (~v9(constB33)) | v184(constB33)),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[33966, 33965])).
% 28.82/19.34 tff(33968,plain,
% 28.82/19.34 ((~v9(constB33)) | v184(constB33)),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[33967, 27274, 5651])).
% 28.82/19.34 tff(33969,plain,
% 28.82/19.34 (v184(constB33)),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[33968, 33964])).
% 28.82/19.34 tff(33970,plain,
% 28.82/19.34 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB33) | (~v184(constB33)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB33) | (~v184(constB33)))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(33971,plain,
% 28.82/19.34 (((~v184(constB33)) | v183(constB33)) <=> (v183(constB33) | (~v184(constB33)))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(33972,plain,
% 28.82/19.34 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB33)) | v183(constB33))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB33) | (~v184(constB33))))),
% 28.82/19.34 inference(monotonicity,[status(thm)],[33971])).
% 28.82/19.34 tff(33973,plain,
% 28.82/19.34 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB33)) | v183(constB33))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB33) | (~v184(constB33)))),
% 28.82/19.34 inference(transitivity,[status(thm)],[33972, 33970])).
% 28.82/19.34 tff(33974,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB33)) | v183(constB33))),
% 28.82/19.34 inference(quant_inst,[status(thm)],[])).
% 28.82/19.34 tff(33975,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB33) | (~v184(constB33))),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[33974, 33973])).
% 28.82/19.34 tff(33976,plain,
% 28.82/19.34 (v183(constB33)),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[33975, 27286, 33969])).
% 28.82/19.34 tff(33977,plain,
% 28.82/19.34 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB33)) | (~v183(constB33)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB33)) | (~v183(constB33)))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(33978,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB33)) | (~v183(constB33)))),
% 28.82/19.34 inference(quant_inst,[status(thm)],[])).
% 28.82/19.34 tff(33979,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB33)) | (~v183(constB33))),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[33978, 33977])).
% 28.82/19.34 tff(33980,plain,
% 28.82/19.34 (~v181(constB33)),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[33979, 27300, 33976])).
% 28.82/19.34 tff(33981,plain,
% 28.82/19.34 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB33) | v185(constB33) | (~v178(constB33)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB33) | v185(constB33) | (~v178(constB33)))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(33982,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB33) | v185(constB33) | (~v178(constB33)))),
% 28.82/19.34 inference(quant_inst,[status(thm)],[])).
% 28.82/19.34 tff(33983,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB33) | v185(constB33) | (~v178(constB33))),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[33982, 33981])).
% 28.82/19.34 tff(33984,plain,
% 28.82/19.34 (v185(constB33) | (~v178(constB33))),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[33983, 27314, 33980])).
% 28.82/19.34 tff(33985,plain,
% 28.82/19.34 (~v178(constB33)),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[33984, 33942])).
% 28.82/19.34 tff(33986,plain,
% 28.82/19.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB33, constB34)) | v178(constB33) | (~v180(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB33, constB34)) | v178(constB33) | (~v180(constB34)))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(33987,plain,
% 28.82/19.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB33, constB34)) | v178(constB33) | (~v180(constB34)))),
% 28.82/19.34 inference(quant_inst,[status(thm)],[])).
% 28.82/19.34 tff(33988,plain,
% 28.82/19.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB33, constB34)) | v178(constB33) | (~v180(constB34))),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[33987, 33986])).
% 28.82/19.34 tff(33989,plain,
% 28.82/19.34 (v178(constB33) | (~v180(constB34))),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[33988, 27329, 5761])).
% 28.82/19.34 tff(33990,plain,
% 28.82/19.34 (~v180(constB34)),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[33989, 33985])).
% 28.82/19.34 tff(33991,plain,
% 28.82/19.34 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB34) | (~v181(constB34)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB34) | (~v181(constB34)))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(33992,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB34) | (~v181(constB34)))),
% 28.82/19.34 inference(quant_inst,[status(thm)],[])).
% 28.82/19.34 tff(33993,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB34) | (~v181(constB34))),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[33992, 33991])).
% 28.82/19.34 tff(33994,plain,
% 28.82/19.34 (~v181(constB34)),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[33993, 27344, 33990])).
% 28.82/19.34 tff(33995,plain,
% 28.82/19.34 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB34)) | (~v184(constB34)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB34)) | (~v184(constB34)))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(33996,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB34)) | (~v184(constB34)))),
% 28.82/19.34 inference(quant_inst,[status(thm)],[])).
% 28.82/19.34 tff(33997,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB34)) | (~v184(constB34))),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[33996, 33995])).
% 28.82/19.34 tff(33998,plain,
% 28.82/19.34 (~v184(constB34)),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[33997, 59, 5781])).
% 28.82/19.34 tff(33999,plain,
% 28.82/19.34 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB34) | (~v187(constB34)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB34) | (~v187(constB34)))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(34000,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB34) | (~v187(constB34)))),
% 28.82/19.34 inference(quant_inst,[status(thm)],[])).
% 28.82/19.34 tff(34001,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB34) | (~v187(constB34))),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[34000, 33999])).
% 28.82/19.34 tff(34002,plain,
% 28.82/19.34 (~v187(constB34)),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[34001, 27362, 33998])).
% 28.82/19.34 tff(34003,plain,
% 28.82/19.34 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB34) | (~v185(constB34)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB34) | (~v185(constB34)))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(34004,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB34) | (~v185(constB34)))),
% 28.82/19.34 inference(quant_inst,[status(thm)],[])).
% 28.82/19.34 tff(34005,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB34) | (~v185(constB34))),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[34004, 34003])).
% 28.82/19.34 tff(34006,plain,
% 28.82/19.34 (~v185(constB34)),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[34005, 27188, 34002])).
% 28.82/19.34 tff(34007,plain,
% 28.82/19.34 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB34) | v185(constB34) | (~v178(constB34)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB34) | v185(constB34) | (~v178(constB34)))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(34008,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB34) | v185(constB34) | (~v178(constB34)))),
% 28.82/19.34 inference(quant_inst,[status(thm)],[])).
% 28.82/19.34 tff(34009,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB34) | v185(constB34) | (~v178(constB34))),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[34008, 34007])).
% 28.82/19.34 tff(34010,plain,
% 28.82/19.34 (v181(constB34) | (~v178(constB34))),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[34009, 27314, 34006])).
% 28.82/19.34 tff(34011,plain,
% 28.82/19.34 (~v178(constB34)),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[34010, 33994])).
% 28.82/19.34 tff(34012,plain,
% 28.82/19.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB34, constB35)) | v178(constB34) | (~v180(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB34, constB35)) | v178(constB34) | (~v180(constB35)))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(34013,plain,
% 28.82/19.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB34, constB35)) | v178(constB34) | (~v180(constB35)))),
% 28.82/19.34 inference(quant_inst,[status(thm)],[])).
% 28.82/19.34 tff(34014,plain,
% 28.82/19.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB34, constB35)) | v178(constB34) | (~v180(constB35))),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[34013, 34012])).
% 28.82/19.34 tff(34015,plain,
% 28.82/19.34 (v178(constB34) | (~v180(constB35))),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[34014, 27329, 5823])).
% 28.82/19.34 tff(34016,plain,
% 28.82/19.34 (~v180(constB35)),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[34015, 34011])).
% 28.82/19.34 tff(34017,plain,
% 28.82/19.34 ($false),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[34016, 33883])).
% 28.82/19.34 tff(34018,plain,(~(constB35 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.34 tff(34019,assumption,(constB1 = sK_VarCurr), introduced(assumption)).
% 28.82/19.34 tff(34020,plain,
% 28.82/19.34 (v180(constB1) <=> v180(sK_VarCurr)),
% 28.82/19.34 inference(monotonicity,[status(thm)],[34019])).
% 28.82/19.34 tff(34021,plain,
% 28.82/19.34 (v180(sK_VarCurr) <=> v180(constB1)),
% 28.82/19.34 inference(symmetry,[status(thm)],[34020])).
% 28.82/19.34 tff(34022,plain,
% 28.82/19.34 (v180(constB1)),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[86, 34021])).
% 28.82/19.34 tff(34023,plain,
% 28.82/19.34 ((~v161(constB0)) <=> (~v161(constB0))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(34024,axiom,(~v161(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_6_1_1')).
% 28.82/19.34 tff(34025,plain,
% 28.82/19.34 (~v161(constB0)),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[34024, 34023])).
% 28.82/19.34 tff(34026,plain,
% 28.82/19.34 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB0) | (~v187(constB0)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB0) | (~v187(constB0)))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(34027,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB0) | (~v187(constB0)))),
% 28.82/19.34 inference(quant_inst,[status(thm)],[])).
% 28.82/19.34 tff(34028,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB0) | (~v187(constB0))),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[34027, 34026])).
% 28.82/19.34 tff(34029,plain,
% 28.82/19.34 (~v187(constB0)),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[34028, 34025, 27174])).
% 28.82/19.34 tff(34030,plain,
% 28.82/19.34 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB0) | (~v185(constB0)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB0) | (~v185(constB0)))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(34031,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB0) | (~v185(constB0)))),
% 28.82/19.34 inference(quant_inst,[status(thm)],[])).
% 28.82/19.34 tff(34032,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB0) | (~v185(constB0))),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[34031, 34030])).
% 28.82/19.34 tff(34033,plain,
% 28.82/19.34 (~v185(constB0)),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[34032, 27188, 34029])).
% 28.82/19.34 tff(34034,plain,
% 28.82/19.34 ((~v180(constB0)) <=> (~v180(constB0))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(34035,axiom,(~v180(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_7_1_1_1')).
% 28.82/19.34 tff(34036,plain,
% 28.82/19.34 (~v180(constB0)),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[34035, 34034])).
% 28.82/19.34 tff(34037,plain,
% 28.82/19.34 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB0) | (~v181(constB0)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB0) | (~v181(constB0)))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(34038,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB0) | (~v181(constB0)))),
% 28.82/19.34 inference(quant_inst,[status(thm)],[])).
% 28.82/19.34 tff(34039,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB0) | (~v181(constB0))),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[34038, 34037])).
% 28.82/19.34 tff(34040,plain,
% 28.82/19.34 (~v181(constB0)),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[34039, 34036, 27344])).
% 28.82/19.34 tff(34041,plain,
% 28.82/19.34 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB0) | v185(constB0) | (~v178(constB0)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB0) | v185(constB0) | (~v178(constB0)))),
% 28.82/19.34 inference(rewrite,[status(thm)],[])).
% 28.82/19.34 tff(34042,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB0) | v185(constB0) | (~v178(constB0)))),
% 28.82/19.34 inference(quant_inst,[status(thm)],[])).
% 28.82/19.34 tff(34043,plain,
% 28.82/19.34 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB0) | v185(constB0) | (~v178(constB0))),
% 28.82/19.34 inference(modus_ponens,[status(thm)],[34042, 34041])).
% 28.82/19.34 tff(34044,plain,
% 28.82/19.34 (~v178(constB0)),
% 28.82/19.34 inference(unit_resolution,[status(thm)],[34043, 27314, 34040, 34033])).
% 28.82/19.34 tff(34045,plain,
% 28.82/19.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB0, constB1)) | v178(constB0) | (~v180(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB0, constB1)) | v178(constB0) | (~v180(constB1)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34046,plain,
% 28.82/19.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB0, constB1)) | v178(constB0) | (~v180(constB1)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34047,plain,
% 28.82/19.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB0, constB1)) | v178(constB0) | (~v180(constB1))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34046, 34045])).
% 28.82/19.35 tff(34048,plain,
% 28.82/19.35 (v178(constB0) | (~v180(constB1))),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34047, 27329, 128])).
% 28.82/19.35 tff(34049,plain,
% 28.82/19.35 (~v180(constB1)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34048, 34044])).
% 28.82/19.35 tff(34050,plain,
% 28.82/19.35 ($false),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34049, 34022])).
% 28.82/19.35 tff(34051,plain,(~(constB1 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.35 tff(34052,assumption,(constB58 = sK_VarCurr), introduced(assumption)).
% 28.82/19.35 tff(34053,plain,
% 28.82/19.35 (v1(constB58) <=> v1(sK_VarCurr)),
% 28.82/19.35 inference(monotonicity,[status(thm)],[34052])).
% 28.82/19.35 tff(34054,plain,
% 28.82/19.35 (v1(sK_VarCurr) <=> v1(constB58)),
% 28.82/19.35 inference(symmetry,[status(thm)],[34053])).
% 28.82/19.35 tff(34055,plain,
% 28.82/19.35 ((~v1(sK_VarCurr)) <=> (~v1(constB58))),
% 28.82/19.35 inference(monotonicity,[status(thm)],[34054])).
% 28.82/19.35 tff(34056,plain,
% 28.82/19.35 (~v1(constB58)),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[63, 34055])).
% 28.82/19.35 tff(34057,plain,
% 28.82/19.35 ($false),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[8208, 34056])).
% 28.82/19.35 tff(34058,plain,(~(constB58 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.35 tff(34059,assumption,(constB79 = sK_VarCurr), introduced(assumption)).
% 28.82/19.35 tff(34060,plain,
% 28.82/19.35 (v180(constB79) <=> v180(sK_VarCurr)),
% 28.82/19.35 inference(monotonicity,[status(thm)],[34059])).
% 28.82/19.35 tff(34061,plain,
% 28.82/19.35 (v180(sK_VarCurr) <=> v180(constB79)),
% 28.82/19.35 inference(symmetry,[status(thm)],[34060])).
% 28.82/19.35 tff(34062,plain,
% 28.82/19.35 (v180(constB79)),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[86, 34061])).
% 28.82/19.35 tff(34063,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB77, 2)) | v90(constB77, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB77, 2)) | v90(constB77, 2))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34064,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB77, 2)) | v90(constB77, 2))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34065,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB77, 2)) | v90(constB77, 2)),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34064, 34063])).
% 28.82/19.35 tff(34066,plain,
% 28.82/19.35 (~v88(constB77, 2)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34065, 27032, 10252])).
% 28.82/19.35 tff(34067,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB77, 0)) | v90(constB77, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB77, 0)) | v90(constB77, 0))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34068,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB77, 0)) | v90(constB77, 0))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34069,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB77, 0)) | v90(constB77, 0)),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34068, 34067])).
% 28.82/19.35 tff(34070,plain,
% 28.82/19.35 (~v88(constB77, 0)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34069, 26990, 10317])).
% 28.82/19.35 tff(34071,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB77, 1)) | v88(constB77, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB77, 1)) | v88(constB77, 1))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34072,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB77, 1)) | v88(constB77, 1))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34073,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB77, 1)) | v88(constB77, 1)),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34072, 34071])).
% 28.82/19.35 tff(34074,plain,
% 28.82/19.35 (v88(constB77, 1)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34073, 26945, 10283])).
% 28.82/19.35 tff(34075,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB77, 0) | v88(constB77, 2) | v143(constB77) | (~v88(constB77, 1)))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB77, 0) | v88(constB77, 2) | v143(constB77) | (~v88(constB77, 1)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34076,plain,
% 28.82/19.35 ((v88(constB77, 2) | (~v88(constB77, 1)) | v88(constB77, 0) | v143(constB77)) <=> (v88(constB77, 0) | v88(constB77, 2) | v143(constB77) | (~v88(constB77, 1)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34077,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB77, 2) | (~v88(constB77, 1)) | v88(constB77, 0) | v143(constB77))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB77, 0) | v88(constB77, 2) | v143(constB77) | (~v88(constB77, 1))))),
% 28.82/19.35 inference(monotonicity,[status(thm)],[34076])).
% 28.82/19.35 tff(34078,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB77, 2) | (~v88(constB77, 1)) | v88(constB77, 0) | v143(constB77))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB77, 0) | v88(constB77, 2) | v143(constB77) | (~v88(constB77, 1)))),
% 28.82/19.35 inference(transitivity,[status(thm)],[34077, 34075])).
% 28.82/19.35 tff(34079,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB77, 2) | (~v88(constB77, 1)) | v88(constB77, 0) | v143(constB77))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34080,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB77, 0) | v88(constB77, 2) | v143(constB77) | (~v88(constB77, 1))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34079, 34078])).
% 28.82/19.35 tff(34081,plain,
% 28.82/19.35 (v143(constB77)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34080, 27047, 34074, 34070, 34066])).
% 28.82/19.35 tff(34082,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB77)) | v142(constB77))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB77)) | v142(constB77))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34083,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB77)) | v142(constB77))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34084,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB77)) | v142(constB77)),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34083, 34082])).
% 28.82/19.35 tff(34085,plain,
% 28.82/19.35 (v142(constB77)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34084, 27064, 34081])).
% 28.82/19.35 tff(34086,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB77)) | v165(constB77))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB77)) | v165(constB77))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34087,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB77)) | v165(constB77))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34088,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB77)) | v165(constB77)),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34087, 34086])).
% 28.82/19.35 tff(34089,plain,
% 28.82/19.35 (v165(constB77)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34088, 27075, 34085])).
% 28.82/19.35 tff(34090,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB77) | (~v165(constB77)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB77) | (~v165(constB77)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34091,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB77) | (~v165(constB77)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34092,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB77) | (~v165(constB77))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34091, 34090])).
% 28.82/19.35 tff(34093,plain,
% 28.82/19.35 (v164(constB77)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34092, 27089, 34089])).
% 28.82/19.35 tff(34094,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB77)) | (~v88(constB77, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB77)) | (~v88(constB77, 1)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34095,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB77)) | (~v88(constB77, 1)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34096,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB77)) | (~v88(constB77, 1))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34095, 34094])).
% 28.82/19.35 tff(34097,plain,
% 28.82/19.35 (~v139(constB77)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34096, 27117, 34074])).
% 28.82/19.35 tff(34098,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB77)) | (~v88(constB77, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB77)) | (~v88(constB77, 1)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34099,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB77)) | (~v88(constB77, 1)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34100,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB77)) | (~v88(constB77, 1))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34099, 34098])).
% 28.82/19.35 tff(34101,plain,
% 28.82/19.35 (~v140(constB77)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34100, 27128, 34074])).
% 28.82/19.35 tff(34102,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB77) | v140(constB77) | (~v168(constB77)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB77) | v140(constB77) | (~v168(constB77)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34103,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB77) | v140(constB77) | (~v168(constB77)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34104,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB77) | v140(constB77) | (~v168(constB77))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34103, 34102])).
% 28.82/19.35 tff(34105,plain,
% 28.82/19.35 (~v168(constB77)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34104, 27142, 34101, 34097])).
% 28.82/19.35 tff(34106,plain,
% 28.82/19.35 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB77)) | v168(constB77) | (~v164(constB77)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB77)) | v168(constB77) | (~v164(constB77)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34107,plain,
% 28.82/19.35 (((~v164(constB77)) | v168(constB77) | (~v161(constB77))) <=> ((~v161(constB77)) | v168(constB77) | (~v164(constB77)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34108,plain,
% 28.82/19.35 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB77)) | v168(constB77) | (~v161(constB77)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB77)) | v168(constB77) | (~v164(constB77))))),
% 28.82/19.35 inference(monotonicity,[status(thm)],[34107])).
% 28.82/19.35 tff(34109,plain,
% 28.82/19.35 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB77)) | v168(constB77) | (~v161(constB77)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB77)) | v168(constB77) | (~v164(constB77)))),
% 28.82/19.35 inference(transitivity,[status(thm)],[34108, 34106])).
% 28.82/19.35 tff(34110,plain,
% 28.82/19.35 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB77)) | v168(constB77) | (~v161(constB77)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34111,plain,
% 28.82/19.35 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB77)) | v168(constB77) | (~v164(constB77))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34110, 34109])).
% 28.82/19.35 tff(34112,plain,
% 28.82/19.35 ((~v161(constB77)) | (~v164(constB77))),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34111, 27156, 34105])).
% 28.82/19.35 tff(34113,plain,
% 28.82/19.35 (~v161(constB77)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34112, 34093])).
% 28.82/19.35 tff(34114,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB77) | (~v187(constB77)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB77) | (~v187(constB77)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34115,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB77) | (~v187(constB77)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34116,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB77) | (~v187(constB77))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34115, 34114])).
% 28.82/19.35 tff(34117,plain,
% 28.82/19.35 (~v187(constB77)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34116, 27174, 34113])).
% 28.82/19.35 tff(34118,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB77) | (~v185(constB77)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB77) | (~v185(constB77)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34119,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB77) | (~v185(constB77)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34120,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB77) | (~v185(constB77))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34119, 34118])).
% 28.82/19.35 tff(34121,plain,
% 28.82/19.35 (~v185(constB77)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34120, 27188, 34117])).
% 28.82/19.35 tff(34122,assumption,(v18(constB78)), introduced(assumption)).
% 28.82/19.35 tff(34123,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB78))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34124,plain,
% 28.82/19.35 ($false),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34123, 27200, 34122])).
% 28.82/19.35 tff(34125,plain,(~v18(constB78)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.35 tff(34126,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB78) | (~v1(constB78)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB78) | (~v1(constB78)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34127,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB78) | (~v1(constB78)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34128,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB78) | (~v1(constB78))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34127, 34126])).
% 28.82/19.35 tff(34129,plain,
% 28.82/19.35 (v22(constB78)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34128, 27216, 10392])).
% 28.82/19.35 tff(34130,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB78) | (~v22(constB78)) | (~v19(constB78)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB78) | (~v22(constB78)) | (~v19(constB78)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34131,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB78) | (~v22(constB78)) | (~v19(constB78)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34132,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB78) | (~v22(constB78)) | (~v19(constB78))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34131, 34130])).
% 28.82/19.35 tff(34133,plain,
% 28.82/19.35 (v18(constB78) | (~v19(constB78))),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34132, 27230, 34129])).
% 28.82/19.35 tff(34134,plain,
% 28.82/19.35 (~v19(constB78)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34133, 34125])).
% 28.82/19.35 tff(34135,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB78) | v19(constB78))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB78) | v19(constB78))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34136,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB78) | v19(constB78))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34137,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB78) | v19(constB78)),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34136, 34135])).
% 28.82/19.35 tff(34138,plain,
% 28.82/19.35 (v13(constB78)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34137, 27242, 34134])).
% 28.82/19.35 tff(34139,plain,
% 28.82/19.35 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB77) | (~v13(constB78)) | (~nextState(constB77, constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB77) | (~v13(constB78)) | (~nextState(constB77, constB78)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34140,plain,
% 28.82/19.35 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB77) | (~v13(constB78)) | (~nextState(constB77, constB78)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34141,plain,
% 28.82/19.35 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB77) | (~v13(constB78)) | (~nextState(constB77, constB78))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34140, 34139])).
% 28.82/19.35 tff(34142,plain,
% 28.82/19.35 (v9(constB77) | (~v13(constB78))),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34141, 27259, 10372])).
% 28.82/19.35 tff(34143,plain,
% 28.82/19.35 (v9(constB77)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34142, 34138])).
% 28.82/19.35 tff(34144,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB77) | (~v9(constB77)) | v184(constB77))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB77) | (~v9(constB77)) | v184(constB77))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34145,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB77) | (~v9(constB77)) | v184(constB77))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34146,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB77) | (~v9(constB77)) | v184(constB77)),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34145, 34144])).
% 28.82/19.35 tff(34147,plain,
% 28.82/19.35 ((~v9(constB77)) | v184(constB77)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34146, 27274, 10228])).
% 28.82/19.35 tff(34148,plain,
% 28.82/19.35 (v184(constB77)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34147, 34143])).
% 28.82/19.35 tff(34149,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB77) | (~v184(constB77)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB77) | (~v184(constB77)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34150,plain,
% 28.82/19.35 (((~v184(constB77)) | v183(constB77)) <=> (v183(constB77) | (~v184(constB77)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34151,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB77)) | v183(constB77))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB77) | (~v184(constB77))))),
% 28.82/19.35 inference(monotonicity,[status(thm)],[34150])).
% 28.82/19.35 tff(34152,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB77)) | v183(constB77))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB77) | (~v184(constB77)))),
% 28.82/19.35 inference(transitivity,[status(thm)],[34151, 34149])).
% 28.82/19.35 tff(34153,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB77)) | v183(constB77))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34154,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB77) | (~v184(constB77))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34153, 34152])).
% 28.82/19.35 tff(34155,plain,
% 28.82/19.35 (v183(constB77)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34154, 27286, 34148])).
% 28.82/19.35 tff(34156,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB77)) | (~v183(constB77)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB77)) | (~v183(constB77)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34157,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB77)) | (~v183(constB77)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34158,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB77)) | (~v183(constB77))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34157, 34156])).
% 28.82/19.35 tff(34159,plain,
% 28.82/19.35 (~v181(constB77)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34158, 27300, 34155])).
% 28.82/19.35 tff(34160,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB77) | v185(constB77) | (~v178(constB77)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB77) | v185(constB77) | (~v178(constB77)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34161,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB77) | v185(constB77) | (~v178(constB77)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34162,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB77) | v185(constB77) | (~v178(constB77))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34161, 34160])).
% 28.82/19.35 tff(34163,plain,
% 28.82/19.35 (v185(constB77) | (~v178(constB77))),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34162, 27314, 34159])).
% 28.82/19.35 tff(34164,plain,
% 28.82/19.35 (~v178(constB77)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34163, 34121])).
% 28.82/19.35 tff(34165,plain,
% 28.82/19.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB77, constB78)) | v178(constB77) | (~v180(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB77, constB78)) | v178(constB77) | (~v180(constB78)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34166,plain,
% 28.82/19.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB77, constB78)) | v178(constB77) | (~v180(constB78)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34167,plain,
% 28.82/19.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB77, constB78)) | v178(constB77) | (~v180(constB78))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34166, 34165])).
% 28.82/19.35 tff(34168,plain,
% 28.82/19.35 (v178(constB77) | (~v180(constB78))),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34167, 27329, 10372])).
% 28.82/19.35 tff(34169,plain,
% 28.82/19.35 (~v180(constB78)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34168, 34164])).
% 28.82/19.35 tff(34170,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB78) | (~v181(constB78)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB78) | (~v181(constB78)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34171,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB78) | (~v181(constB78)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34172,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB78) | (~v181(constB78))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34171, 34170])).
% 28.82/19.35 tff(34173,plain,
% 28.82/19.35 (~v181(constB78)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34172, 27344, 34169])).
% 28.82/19.35 tff(34174,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB78)) | (~v184(constB78)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB78)) | (~v184(constB78)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34175,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB78)) | (~v184(constB78)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34176,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB78)) | (~v184(constB78))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34175, 34174])).
% 28.82/19.35 tff(34177,plain,
% 28.82/19.35 (~v184(constB78)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34176, 59, 10392])).
% 28.82/19.35 tff(34178,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB78) | (~v187(constB78)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB78) | (~v187(constB78)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34179,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB78) | (~v187(constB78)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34180,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB78) | (~v187(constB78))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34179, 34178])).
% 28.82/19.35 tff(34181,plain,
% 28.82/19.35 (~v187(constB78)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34180, 27362, 34177])).
% 28.82/19.35 tff(34182,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB78) | (~v185(constB78)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB78) | (~v185(constB78)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34183,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB78) | (~v185(constB78)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34184,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB78) | (~v185(constB78))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34183, 34182])).
% 28.82/19.35 tff(34185,plain,
% 28.82/19.35 (~v185(constB78)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34184, 27188, 34181])).
% 28.82/19.35 tff(34186,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB78) | v185(constB78) | (~v178(constB78)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB78) | v185(constB78) | (~v178(constB78)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34187,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB78) | v185(constB78) | (~v178(constB78)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34188,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB78) | v185(constB78) | (~v178(constB78))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34187, 34186])).
% 28.82/19.35 tff(34189,plain,
% 28.82/19.35 (v181(constB78) | (~v178(constB78))),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34188, 27314, 34185])).
% 28.82/19.35 tff(34190,plain,
% 28.82/19.35 (~v178(constB78)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34189, 34173])).
% 28.82/19.35 tff(34191,plain,
% 28.82/19.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB78, constB79)) | v178(constB78) | (~v180(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB78, constB79)) | v178(constB78) | (~v180(constB79)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34192,plain,
% 28.82/19.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB78, constB79)) | v178(constB78) | (~v180(constB79)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34193,plain,
% 28.82/19.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB78, constB79)) | v178(constB78) | (~v180(constB79))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34192, 34191])).
% 28.82/19.35 tff(34194,plain,
% 28.82/19.35 (v178(constB78) | (~v180(constB79))),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34193, 27329, 10434])).
% 28.82/19.35 tff(34195,plain,
% 28.82/19.35 (~v180(constB79)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34194, 34190])).
% 28.82/19.35 tff(34196,plain,
% 28.82/19.35 ($false),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34195, 34062])).
% 28.82/19.35 tff(34197,plain,(~(constB79 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.35 tff(34198,assumption,(constB183 = sK_VarCurr), introduced(assumption)).
% 28.82/19.35 tff(34199,plain,
% 28.82/19.35 (v180(constB183) <=> v180(sK_VarCurr)),
% 28.82/19.35 inference(monotonicity,[status(thm)],[34198])).
% 28.82/19.35 tff(34200,plain,
% 28.82/19.35 (v180(sK_VarCurr) <=> v180(constB183)),
% 28.82/19.35 inference(symmetry,[status(thm)],[34199])).
% 28.82/19.35 tff(34201,plain,
% 28.82/19.35 (v180(constB183)),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[86, 34200])).
% 28.82/19.35 tff(34202,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB181, 0)) | v90(constB181, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB181, 0)) | v90(constB181, 0))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34203,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB181, 0)) | v90(constB181, 0))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34204,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB181, 0)) | v90(constB181, 0)),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34203, 34202])).
% 28.82/19.35 tff(34205,plain,
% 28.82/19.35 (~v88(constB181, 0)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34204, 26990, 25090])).
% 28.82/19.35 tff(34206,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB181, 2)) | v88(constB181, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB181, 2)) | v88(constB181, 2))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34207,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB181, 2)) | v88(constB181, 2))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34208,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB181, 2)) | v88(constB181, 2)),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34207, 34206])).
% 28.82/19.35 tff(34209,plain,
% 28.82/19.35 (v88(constB181, 2)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34208, 27680, 24981])).
% 28.82/19.35 tff(34210,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB181, 1)) | v88(constB181, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB181, 1)) | v88(constB181, 1))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34211,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB181, 1)) | v88(constB181, 1))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34212,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB181, 1)) | v88(constB181, 1)),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34211, 34210])).
% 28.82/19.35 tff(34213,plain,
% 28.82/19.35 (v88(constB181, 1)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34212, 26945, 25016])).
% 28.82/19.35 tff(34214,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB181, 0) | (~v88(constB181, 2)) | (~v88(constB181, 1)) | v144(constB181))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB181, 0) | (~v88(constB181, 2)) | (~v88(constB181, 1)) | v144(constB181))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34215,plain,
% 28.82/19.35 (((~v88(constB181, 2)) | (~v88(constB181, 1)) | v88(constB181, 0) | v144(constB181)) <=> (v88(constB181, 0) | (~v88(constB181, 2)) | (~v88(constB181, 1)) | v144(constB181))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34216,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB181, 2)) | (~v88(constB181, 1)) | v88(constB181, 0) | v144(constB181))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB181, 0) | (~v88(constB181, 2)) | (~v88(constB181, 1)) | v144(constB181)))),
% 28.82/19.35 inference(monotonicity,[status(thm)],[34215])).
% 28.82/19.35 tff(34217,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB181, 2)) | (~v88(constB181, 1)) | v88(constB181, 0) | v144(constB181))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB181, 0) | (~v88(constB181, 2)) | (~v88(constB181, 1)) | v144(constB181))),
% 28.82/19.35 inference(transitivity,[status(thm)],[34216, 34214])).
% 28.82/19.35 tff(34218,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB181, 2)) | (~v88(constB181, 1)) | v88(constB181, 0) | v144(constB181))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34219,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB181, 0) | (~v88(constB181, 2)) | (~v88(constB181, 1)) | v144(constB181)),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34218, 34217])).
% 28.82/19.35 tff(34220,plain,
% 28.82/19.35 (v144(constB181)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34219, 28458, 34213, 34209, 34205])).
% 28.82/19.35 tff(34221,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB181)) | v142(constB181))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB181)) | v142(constB181))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34222,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB181)) | v142(constB181))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34223,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB181)) | v142(constB181)),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34222, 34221])).
% 28.82/19.35 tff(34224,plain,
% 28.82/19.35 (v142(constB181)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34223, 28472, 34220])).
% 28.82/19.35 tff(34225,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB181)) | v165(constB181))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB181)) | v165(constB181))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34226,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB181)) | v165(constB181))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34227,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB181)) | v165(constB181)),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34226, 34225])).
% 28.82/19.35 tff(34228,plain,
% 28.82/19.35 (v165(constB181)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34227, 27075, 34224])).
% 28.82/19.35 tff(34229,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB181) | (~v165(constB181)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB181) | (~v165(constB181)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34230,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB181) | (~v165(constB181)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34231,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB181) | (~v165(constB181))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34230, 34229])).
% 28.82/19.35 tff(34232,plain,
% 28.82/19.35 (v164(constB181)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34231, 27089, 34228])).
% 28.82/19.35 tff(34233,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB181)) | (~v88(constB181, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB181)) | (~v88(constB181, 1)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34234,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB181)) | (~v88(constB181, 1)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34235,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB181)) | (~v88(constB181, 1))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34234, 34233])).
% 28.82/19.35 tff(34236,plain,
% 28.82/19.35 (~v139(constB181)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34235, 27117, 34213])).
% 28.82/19.35 tff(34237,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB181)) | (~v88(constB181, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB181)) | (~v88(constB181, 1)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34238,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB181)) | (~v88(constB181, 1)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34239,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB181)) | (~v88(constB181, 1))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34238, 34237])).
% 28.82/19.35 tff(34240,plain,
% 28.82/19.35 (~v140(constB181)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34239, 27128, 34213])).
% 28.82/19.35 tff(34241,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB181) | v140(constB181) | (~v168(constB181)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB181) | v140(constB181) | (~v168(constB181)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34242,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB181) | v140(constB181) | (~v168(constB181)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34243,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB181) | v140(constB181) | (~v168(constB181))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34242, 34241])).
% 28.82/19.35 tff(34244,plain,
% 28.82/19.35 (~v168(constB181)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34243, 27142, 34240, 34236])).
% 28.82/19.35 tff(34245,plain,
% 28.82/19.35 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB181)) | (~v164(constB181)) | v168(constB181))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB181)) | (~v164(constB181)) | v168(constB181))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34246,plain,
% 28.82/19.35 (((~v164(constB181)) | v168(constB181) | (~v161(constB181))) <=> ((~v161(constB181)) | (~v164(constB181)) | v168(constB181))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34247,plain,
% 28.82/19.35 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB181)) | v168(constB181) | (~v161(constB181)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB181)) | (~v164(constB181)) | v168(constB181)))),
% 28.82/19.35 inference(monotonicity,[status(thm)],[34246])).
% 28.82/19.35 tff(34248,plain,
% 28.82/19.35 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB181)) | v168(constB181) | (~v161(constB181)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB181)) | (~v164(constB181)) | v168(constB181))),
% 28.82/19.35 inference(transitivity,[status(thm)],[34247, 34245])).
% 28.82/19.35 tff(34249,plain,
% 28.82/19.35 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB181)) | v168(constB181) | (~v161(constB181)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34250,plain,
% 28.82/19.35 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB181)) | (~v164(constB181)) | v168(constB181)),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34249, 34248])).
% 28.82/19.35 tff(34251,plain,
% 28.82/19.35 ((~v161(constB181)) | (~v164(constB181))),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34250, 27156, 34244])).
% 28.82/19.35 tff(34252,plain,
% 28.82/19.35 (~v161(constB181)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34251, 34232])).
% 28.82/19.35 tff(34253,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB181) | (~v187(constB181)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB181) | (~v187(constB181)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34254,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB181) | (~v187(constB181)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34255,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB181) | (~v187(constB181))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34254, 34253])).
% 28.82/19.35 tff(34256,plain,
% 28.82/19.35 (~v187(constB181)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34255, 27174, 34252])).
% 28.82/19.35 tff(34257,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB181) | (~v185(constB181)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB181) | (~v185(constB181)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34258,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB181) | (~v185(constB181)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34259,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB181) | (~v185(constB181))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34258, 34257])).
% 28.82/19.35 tff(34260,plain,
% 28.82/19.35 (~v185(constB181)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34259, 27188, 34256])).
% 28.82/19.35 tff(34261,assumption,(v18(constB182)), introduced(assumption)).
% 28.82/19.35 tff(34262,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB182))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34263,plain,
% 28.82/19.35 ($false),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34262, 27200, 34261])).
% 28.82/19.35 tff(34264,plain,(~v18(constB182)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.35 tff(34265,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB182) | (~v1(constB182)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB182) | (~v1(constB182)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34266,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB182) | (~v1(constB182)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34267,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB182) | (~v1(constB182))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34266, 34265])).
% 28.82/19.35 tff(34268,plain,
% 28.82/19.35 (v22(constB182)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34267, 27216, 25219])).
% 28.82/19.35 tff(34269,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB182) | (~v22(constB182)) | (~v19(constB182)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB182) | (~v22(constB182)) | (~v19(constB182)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34270,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB182) | (~v22(constB182)) | (~v19(constB182)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34271,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB182) | (~v22(constB182)) | (~v19(constB182))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34270, 34269])).
% 28.82/19.35 tff(34272,plain,
% 28.82/19.35 (v18(constB182) | (~v19(constB182))),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34271, 27230, 34268])).
% 28.82/19.35 tff(34273,plain,
% 28.82/19.35 (~v19(constB182)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34272, 34264])).
% 28.82/19.35 tff(34274,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB182) | v19(constB182))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB182) | v19(constB182))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34275,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB182) | v19(constB182))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34276,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB182) | v19(constB182)),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34275, 34274])).
% 28.82/19.35 tff(34277,plain,
% 28.82/19.35 (v13(constB182)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34276, 27242, 34273])).
% 28.82/19.35 tff(34278,plain,
% 28.82/19.35 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB181) | (~v13(constB182)) | (~nextState(constB181, constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB181) | (~v13(constB182)) | (~nextState(constB181, constB182)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34279,plain,
% 28.82/19.35 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB181) | (~v13(constB182)) | (~nextState(constB181, constB182)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34280,plain,
% 28.82/19.35 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB181) | (~v13(constB182)) | (~nextState(constB181, constB182))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34279, 34278])).
% 28.82/19.35 tff(34281,plain,
% 28.82/19.35 (v9(constB181) | (~v13(constB182))),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34280, 27259, 25051])).
% 28.82/19.35 tff(34282,plain,
% 28.82/19.35 (v9(constB181)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34281, 34277])).
% 28.82/19.35 tff(34283,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB181) | (~v9(constB181)) | v184(constB181))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB181) | (~v9(constB181)) | v184(constB181))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34284,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB181) | (~v9(constB181)) | v184(constB181))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34285,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB181) | (~v9(constB181)) | v184(constB181)),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34284, 34283])).
% 28.82/19.35 tff(34286,plain,
% 28.82/19.35 ((~v9(constB181)) | v184(constB181)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34285, 27274, 24957])).
% 28.82/19.35 tff(34287,plain,
% 28.82/19.35 (v184(constB181)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34286, 34282])).
% 28.82/19.35 tff(34288,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB181)) | v183(constB181))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB181)) | v183(constB181))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34289,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB181)) | v183(constB181))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34290,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB181)) | v183(constB181)),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34289, 34288])).
% 28.82/19.35 tff(34291,plain,
% 28.82/19.35 (v183(constB181)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34290, 27286, 34287])).
% 28.82/19.35 tff(34292,plain,
% 28.82/19.35 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB181)) | (~v183(constB181)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB181)) | (~v183(constB181)))),
% 28.82/19.35 inference(rewrite,[status(thm)],[])).
% 28.82/19.35 tff(34293,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB181)) | (~v183(constB181)))),
% 28.82/19.35 inference(quant_inst,[status(thm)],[])).
% 28.82/19.35 tff(34294,plain,
% 28.82/19.35 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB181)) | (~v183(constB181))),
% 28.82/19.35 inference(modus_ponens,[status(thm)],[34293, 34292])).
% 28.82/19.35 tff(34295,plain,
% 28.82/19.35 (~v181(constB181)),
% 28.82/19.35 inference(unit_resolution,[status(thm)],[34294, 27300, 34291])).
% 28.82/19.36 tff(34296,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB181) | v185(constB181) | (~v178(constB181)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB181) | v185(constB181) | (~v178(constB181)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34297,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB181) | v185(constB181) | (~v178(constB181)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34298,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB181) | v185(constB181) | (~v178(constB181))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34297, 34296])).
% 28.82/19.36 tff(34299,plain,
% 28.82/19.36 (v185(constB181) | (~v178(constB181))),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34298, 27314, 34295])).
% 28.82/19.36 tff(34300,plain,
% 28.82/19.36 (~v178(constB181)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34299, 34260])).
% 28.82/19.36 tff(34301,plain,
% 28.82/19.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB181, constB182)) | v178(constB181) | (~v180(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB181, constB182)) | v178(constB181) | (~v180(constB182)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34302,plain,
% 28.82/19.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB181, constB182)) | v178(constB181) | (~v180(constB182)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34303,plain,
% 28.82/19.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB181, constB182)) | v178(constB181) | (~v180(constB182))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34302, 34301])).
% 28.82/19.36 tff(34304,plain,
% 28.82/19.36 (v178(constB181) | (~v180(constB182))),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34303, 27329, 25051])).
% 28.82/19.36 tff(34305,plain,
% 28.82/19.36 (~v180(constB182)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34304, 34300])).
% 28.82/19.36 tff(34306,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB182) | (~v181(constB182)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB182) | (~v181(constB182)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34307,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB182) | (~v181(constB182)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34308,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB182) | (~v181(constB182))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34307, 34306])).
% 28.82/19.36 tff(34309,plain,
% 28.82/19.36 (~v181(constB182)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34308, 27344, 34305])).
% 28.82/19.36 tff(34310,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB182)) | (~v184(constB182)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB182)) | (~v184(constB182)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34311,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB182)) | (~v184(constB182)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34312,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB182)) | (~v184(constB182))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34311, 34310])).
% 28.82/19.36 tff(34313,plain,
% 28.82/19.36 (~v184(constB182)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34312, 59, 25219])).
% 28.82/19.36 tff(34314,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB182) | (~v187(constB182)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB182) | (~v187(constB182)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34315,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB182) | (~v187(constB182)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34316,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB182) | (~v187(constB182))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34315, 34314])).
% 28.82/19.36 tff(34317,plain,
% 28.82/19.36 (~v187(constB182)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34316, 27362, 34313])).
% 28.82/19.36 tff(34318,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB182) | (~v185(constB182)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB182) | (~v185(constB182)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34319,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB182) | (~v185(constB182)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34320,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB182) | (~v185(constB182))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34319, 34318])).
% 28.82/19.36 tff(34321,plain,
% 28.82/19.36 (~v185(constB182)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34320, 27188, 34317])).
% 28.82/19.36 tff(34322,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB182) | v185(constB182) | (~v178(constB182)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB182) | v185(constB182) | (~v178(constB182)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34323,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB182) | v185(constB182) | (~v178(constB182)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34324,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB182) | v185(constB182) | (~v178(constB182))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34323, 34322])).
% 28.82/19.36 tff(34325,plain,
% 28.82/19.36 (v181(constB182) | (~v178(constB182))),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34324, 27314, 34321])).
% 28.82/19.36 tff(34326,plain,
% 28.82/19.36 (~v178(constB182)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34325, 34309])).
% 28.82/19.36 tff(34327,plain,
% 28.82/19.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB182, constB183)) | v178(constB182) | (~v180(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB182, constB183)) | v178(constB182) | (~v180(constB183)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34328,plain,
% 28.82/19.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB182, constB183)) | v178(constB182) | (~v180(constB183)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34329,plain,
% 28.82/19.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB182, constB183)) | v178(constB182) | (~v180(constB183))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34328, 34327])).
% 28.82/19.36 tff(34330,plain,
% 28.82/19.36 (v178(constB182) | (~v180(constB183))),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34329, 27329, 25244])).
% 28.82/19.36 tff(34331,plain,
% 28.82/19.36 (~v180(constB183)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34330, 34326])).
% 28.82/19.36 tff(34332,plain,
% 28.82/19.36 ($false),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34331, 34201])).
% 28.82/19.36 tff(34333,plain,(~(constB183 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.36 tff(34334,assumption,(constB38 = sK_VarCurr), introduced(assumption)).
% 28.82/19.36 tff(34335,plain,
% 28.82/19.36 (v1(constB38) <=> v1(sK_VarCurr)),
% 28.82/19.36 inference(monotonicity,[status(thm)],[34334])).
% 28.82/19.36 tff(34336,plain,
% 28.82/19.36 (v1(sK_VarCurr) <=> v1(constB38)),
% 28.82/19.36 inference(symmetry,[status(thm)],[34335])).
% 28.82/19.36 tff(34337,plain,
% 28.82/19.36 ((~v1(sK_VarCurr)) <=> (~v1(constB38))),
% 28.82/19.36 inference(monotonicity,[status(thm)],[34336])).
% 28.82/19.36 tff(34338,plain,
% 28.82/19.36 (~v1(constB38)),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[63, 34337])).
% 28.82/19.36 tff(34339,plain,
% 28.82/19.36 ($false),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[6141, 34338])).
% 28.82/19.36 tff(34340,plain,(~(constB38 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.36 tff(34341,assumption,(constB113 = sK_VarCurr), introduced(assumption)).
% 28.82/19.36 tff(34342,plain,
% 28.82/19.36 (v86(constB113) <=> v86(sK_VarCurr)),
% 28.82/19.36 inference(monotonicity,[status(thm)],[34341])).
% 28.82/19.36 tff(34343,plain,
% 28.82/19.36 (v86(sK_VarCurr) <=> v86(constB113)),
% 28.82/19.36 inference(symmetry,[status(thm)],[34342])).
% 28.82/19.36 tff(34344,plain,
% 28.82/19.36 ((~v86(sK_VarCurr)) <=> (~v86(constB113))),
% 28.82/19.36 inference(monotonicity,[status(thm)],[34343])).
% 28.82/19.36 tff(34345,plain,
% 28.82/19.36 (~v86(constB113)),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[29494, 34344])).
% 28.82/19.36 tff(34346,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (v148(constB113) | (~v142(constB113)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB113) | (~v142(constB113)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34347,plain,
% 28.82/19.36 (((~v142(constB113)) | v148(constB113)) <=> (v148(constB113) | (~v142(constB113)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34348,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB113)) | v148(constB113))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (v148(constB113) | (~v142(constB113))))),
% 28.82/19.36 inference(monotonicity,[status(thm)],[34347])).
% 28.82/19.36 tff(34349,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB113)) | v148(constB113))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB113) | (~v142(constB113)))),
% 28.82/19.36 inference(transitivity,[status(thm)],[34348, 34346])).
% 28.82/19.36 tff(34350,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB113)) | v148(constB113))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34351,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB113) | (~v142(constB113))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34350, 34349])).
% 28.82/19.36 tff(34352,plain,
% 28.82/19.36 (v148(constB113)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34351, 29528, 29602])).
% 28.82/19.36 tff(34353,plain,
% 28.82/19.36 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | (v86(constB113) | (~v148(constB113)) | (~v164(constB113)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB113) | (~v148(constB113)) | (~v164(constB113)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34354,plain,
% 28.82/19.36 (((~v148(constB113)) | v86(constB113) | (~v164(constB113))) <=> (v86(constB113) | (~v148(constB113)) | (~v164(constB113)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34355,plain,
% 28.82/19.36 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB113)) | v86(constB113) | (~v164(constB113)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | (v86(constB113) | (~v148(constB113)) | (~v164(constB113))))),
% 28.82/19.36 inference(monotonicity,[status(thm)],[34354])).
% 28.82/19.36 tff(34356,plain,
% 28.82/19.36 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB113)) | v86(constB113) | (~v164(constB113)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB113) | (~v148(constB113)) | (~v164(constB113)))),
% 28.82/19.36 inference(transitivity,[status(thm)],[34355, 34353])).
% 28.82/19.36 tff(34357,plain,
% 28.82/19.36 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB113)) | v86(constB113) | (~v164(constB113)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34358,plain,
% 28.82/19.36 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB113) | (~v148(constB113)) | (~v164(constB113))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34357, 34356])).
% 28.82/19.36 tff(34359,plain,
% 28.82/19.36 (v86(constB113)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34358, 29550, 29613, 34352])).
% 28.82/19.36 tff(34360,plain,
% 28.82/19.36 ($false),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34359, 34345])).
% 28.82/19.36 tff(34361,plain,(~(constB113 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.36 tff(34362,assumption,(constB182 = sK_VarCurr), introduced(assumption)).
% 28.82/19.36 tff(34363,plain,
% 28.82/19.36 (v1(constB182) <=> v1(sK_VarCurr)),
% 28.82/19.36 inference(monotonicity,[status(thm)],[34362])).
% 28.82/19.36 tff(34364,plain,
% 28.82/19.36 (v1(sK_VarCurr) <=> v1(constB182)),
% 28.82/19.36 inference(symmetry,[status(thm)],[34363])).
% 28.82/19.36 tff(34365,plain,
% 28.82/19.36 ((~v1(sK_VarCurr)) <=> (~v1(constB182))),
% 28.82/19.36 inference(monotonicity,[status(thm)],[34364])).
% 28.82/19.36 tff(34366,plain,
% 28.82/19.36 (~v1(constB182)),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[63, 34365])).
% 28.82/19.36 tff(34367,plain,
% 28.82/19.36 ($false),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[25219, 34366])).
% 28.82/19.36 tff(34368,plain,(~(constB182 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.36 tff(34369,assumption,(constB129 = sK_VarCurr), introduced(assumption)).
% 28.82/19.36 tff(34370,plain,
% 28.82/19.36 (v180(constB129) <=> v180(sK_VarCurr)),
% 28.82/19.36 inference(monotonicity,[status(thm)],[34369])).
% 28.82/19.36 tff(34371,plain,
% 28.82/19.36 (v180(sK_VarCurr) <=> v180(constB129)),
% 28.82/19.36 inference(symmetry,[status(thm)],[34370])).
% 28.82/19.36 tff(34372,plain,
% 28.82/19.36 (v180(constB129)),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[86, 34371])).
% 28.82/19.36 tff(34373,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB127, 2)) | v90(constB127, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB127, 2)) | v90(constB127, 2))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34374,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB127, 2)) | v90(constB127, 2))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34375,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB127, 2)) | v90(constB127, 2)),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34374, 34373])).
% 28.82/19.36 tff(34376,plain,
% 28.82/19.36 (~v88(constB127, 2)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34375, 27032, 19149])).
% 28.82/19.36 tff(34377,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB127, 1)) | v88(constB127, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB127, 1)) | v88(constB127, 1))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34378,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB127, 1)) | v88(constB127, 1))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34379,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB127, 1)) | v88(constB127, 1)),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34378, 34377])).
% 28.82/19.36 tff(34380,plain,
% 28.82/19.36 (v88(constB127, 1)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34379, 26945, 19209])).
% 28.82/19.36 tff(34381,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB127, 0)) | v88(constB127, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB127, 0)) | v88(constB127, 0))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34382,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB127, 0)) | v88(constB127, 0))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34383,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB127, 0)) | v88(constB127, 0)),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34382, 34381])).
% 28.82/19.36 tff(34384,plain,
% 28.82/19.36 (v88(constB127, 0)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34383, 27874, 19005])).
% 28.82/19.36 tff(34385,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB127, 1)) | v88(constB127, 2) | (~v88(constB127, 0)) | v141(constB127))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB127, 1)) | v88(constB127, 2) | (~v88(constB127, 0)) | v141(constB127))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34386,plain,
% 28.82/19.36 ((v88(constB127, 2) | (~v88(constB127, 1)) | (~v88(constB127, 0)) | v141(constB127)) <=> ((~v88(constB127, 1)) | v88(constB127, 2) | (~v88(constB127, 0)) | v141(constB127))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34387,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB127, 2) | (~v88(constB127, 1)) | (~v88(constB127, 0)) | v141(constB127))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB127, 1)) | v88(constB127, 2) | (~v88(constB127, 0)) | v141(constB127)))),
% 28.82/19.36 inference(monotonicity,[status(thm)],[34386])).
% 28.82/19.36 tff(34388,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB127, 2) | (~v88(constB127, 1)) | (~v88(constB127, 0)) | v141(constB127))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB127, 1)) | v88(constB127, 2) | (~v88(constB127, 0)) | v141(constB127))),
% 28.82/19.36 inference(transitivity,[status(thm)],[34387, 34385])).
% 28.82/19.36 tff(34389,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB127, 2) | (~v88(constB127, 1)) | (~v88(constB127, 0)) | v141(constB127))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34390,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB127, 1)) | v88(constB127, 2) | (~v88(constB127, 0)) | v141(constB127)),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34389, 34388])).
% 28.82/19.36 tff(34391,plain,
% 28.82/19.36 ((~v88(constB127, 1)) | v88(constB127, 2) | v141(constB127)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34390, 28757, 34384])).
% 28.82/19.36 tff(34392,plain,
% 28.82/19.36 (v141(constB127)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34391, 34380, 34376])).
% 28.82/19.36 tff(34393,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB127)) | v166(constB127))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | (~v141(constB127)) | v166(constB127))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34394,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB127)) | v166(constB127))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34395,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | (~v141(constB127)) | v166(constB127)),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34394, 34393])).
% 28.82/19.36 tff(34396,plain,
% 28.82/19.36 (v166(constB127)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34395, 28771, 34392])).
% 28.82/19.36 tff(34397,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB127)) | v165(constB127))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (~v166(constB127)) | v165(constB127))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34398,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB127)) | v165(constB127))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34399,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (~v166(constB127)) | v165(constB127)),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34398, 34397])).
% 28.82/19.36 tff(34400,plain,
% 28.82/19.36 (v165(constB127)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34399, 28782, 34396])).
% 28.82/19.36 tff(34401,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB127) | (~v165(constB127)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB127) | (~v165(constB127)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34402,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB127) | (~v165(constB127)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34403,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB127) | (~v165(constB127))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34402, 34401])).
% 28.82/19.36 tff(34404,plain,
% 28.82/19.36 (v164(constB127)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34403, 27089, 34400])).
% 28.82/19.36 tff(34405,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB127)) | (~v88(constB127, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB127)) | (~v88(constB127, 1)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34406,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB127)) | (~v88(constB127, 1)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34407,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB127)) | (~v88(constB127, 1))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34406, 34405])).
% 28.82/19.36 tff(34408,plain,
% 28.82/19.36 (~v140(constB127)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34407, 27128, 34380])).
% 28.82/19.36 tff(34409,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB127)) | (~v88(constB127, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB127)) | (~v88(constB127, 0)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34410,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB127)) | (~v88(constB127, 0)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34411,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB127)) | (~v88(constB127, 0))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34410, 34409])).
% 28.82/19.36 tff(34412,plain,
% 28.82/19.36 (~v139(constB127)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34411, 27885, 34384])).
% 28.82/19.36 tff(34413,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB127) | v140(constB127) | (~v168(constB127)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB127) | v140(constB127) | (~v168(constB127)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34414,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB127) | v140(constB127) | (~v168(constB127)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34415,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB127) | v140(constB127) | (~v168(constB127))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34414, 34413])).
% 28.82/19.36 tff(34416,plain,
% 28.82/19.36 (v140(constB127) | (~v168(constB127))),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34415, 27142, 34412])).
% 28.82/19.36 tff(34417,plain,
% 28.82/19.36 (~v168(constB127)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34416, 34408])).
% 28.82/19.36 tff(34418,plain,
% 28.82/19.36 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB127)) | (~v164(constB127)) | v168(constB127))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB127)) | (~v164(constB127)) | v168(constB127))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34419,plain,
% 28.82/19.36 (((~v164(constB127)) | v168(constB127) | (~v161(constB127))) <=> ((~v161(constB127)) | (~v164(constB127)) | v168(constB127))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34420,plain,
% 28.82/19.36 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB127)) | v168(constB127) | (~v161(constB127)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB127)) | (~v164(constB127)) | v168(constB127)))),
% 28.82/19.36 inference(monotonicity,[status(thm)],[34419])).
% 28.82/19.36 tff(34421,plain,
% 28.82/19.36 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB127)) | v168(constB127) | (~v161(constB127)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB127)) | (~v164(constB127)) | v168(constB127))),
% 28.82/19.36 inference(transitivity,[status(thm)],[34420, 34418])).
% 28.82/19.36 tff(34422,plain,
% 28.82/19.36 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB127)) | v168(constB127) | (~v161(constB127)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34423,plain,
% 28.82/19.36 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB127)) | (~v164(constB127)) | v168(constB127)),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34422, 34421])).
% 28.82/19.36 tff(34424,plain,
% 28.82/19.36 ((~v161(constB127)) | (~v164(constB127))),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34423, 27156, 34417])).
% 28.82/19.36 tff(34425,plain,
% 28.82/19.36 (~v161(constB127)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34424, 34404])).
% 28.82/19.36 tff(34426,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB127) | (~v187(constB127)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB127) | (~v187(constB127)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34427,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB127) | (~v187(constB127)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34428,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB127) | (~v187(constB127))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34427, 34426])).
% 28.82/19.36 tff(34429,plain,
% 28.82/19.36 (~v187(constB127)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34428, 27174, 34425])).
% 28.82/19.36 tff(34430,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB127) | (~v185(constB127)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB127) | (~v185(constB127)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34431,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB127) | (~v185(constB127)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34432,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB127) | (~v185(constB127))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34431, 34430])).
% 28.82/19.36 tff(34433,plain,
% 28.82/19.36 (~v185(constB127)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34432, 27188, 34429])).
% 28.82/19.36 tff(34434,assumption,(v18(constB128)), introduced(assumption)).
% 28.82/19.36 tff(34435,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB128))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34436,plain,
% 28.82/19.36 ($false),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34435, 27200, 34434])).
% 28.82/19.36 tff(34437,plain,(~v18(constB128)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.36 tff(34438,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB128) | (~v1(constB128)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB128) | (~v1(constB128)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34439,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB128) | (~v1(constB128)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34440,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB128) | (~v1(constB128))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34439, 34438])).
% 28.82/19.36 tff(34441,plain,
% 28.82/19.36 (v22(constB128)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34440, 27216, 19271])).
% 28.82/19.36 tff(34442,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB128) | (~v22(constB128)) | (~v19(constB128)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB128) | (~v22(constB128)) | (~v19(constB128)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34443,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB128) | (~v22(constB128)) | (~v19(constB128)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34444,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB128) | (~v22(constB128)) | (~v19(constB128))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34443, 34442])).
% 28.82/19.36 tff(34445,plain,
% 28.82/19.36 (v18(constB128) | (~v19(constB128))),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34444, 27230, 34441])).
% 28.82/19.36 tff(34446,plain,
% 28.82/19.36 (~v19(constB128)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34445, 34437])).
% 28.82/19.36 tff(34447,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB128) | v19(constB128))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB128) | v19(constB128))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34448,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB128) | v19(constB128))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34449,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB128) | v19(constB128)),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34448, 34447])).
% 28.82/19.36 tff(34450,plain,
% 28.82/19.36 (v13(constB128)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34449, 27242, 34446])).
% 28.82/19.36 tff(34451,plain,
% 28.82/19.36 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB127) | (~v13(constB128)) | (~nextState(constB127, constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB127) | (~v13(constB128)) | (~nextState(constB127, constB128)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34452,plain,
% 28.82/19.36 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB127) | (~v13(constB128)) | (~nextState(constB127, constB128)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34453,plain,
% 28.82/19.36 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB127) | (~v13(constB128)) | (~nextState(constB127, constB128))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34452, 34451])).
% 28.82/19.36 tff(34454,plain,
% 28.82/19.36 (v9(constB127) | (~v13(constB128))),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34453, 27259, 17814])).
% 28.82/19.36 tff(34455,plain,
% 28.82/19.36 (v9(constB127)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34454, 34450])).
% 28.82/19.36 tff(34456,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB127) | (~v9(constB127)) | v184(constB127))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB127) | (~v9(constB127)) | v184(constB127))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34457,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB127) | (~v9(constB127)) | v184(constB127))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34458,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB127) | (~v9(constB127)) | v184(constB127)),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34457, 34456])).
% 28.82/19.36 tff(34459,plain,
% 28.82/19.36 ((~v9(constB127)) | v184(constB127)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34458, 27274, 17911])).
% 28.82/19.36 tff(34460,plain,
% 28.82/19.36 (v184(constB127)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34459, 34455])).
% 28.82/19.36 tff(34461,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB127) | (~v184(constB127)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB127) | (~v184(constB127)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34462,plain,
% 28.82/19.36 (((~v184(constB127)) | v183(constB127)) <=> (v183(constB127) | (~v184(constB127)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34463,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB127)) | v183(constB127))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB127) | (~v184(constB127))))),
% 28.82/19.36 inference(monotonicity,[status(thm)],[34462])).
% 28.82/19.36 tff(34464,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB127)) | v183(constB127))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB127) | (~v184(constB127)))),
% 28.82/19.36 inference(transitivity,[status(thm)],[34463, 34461])).
% 28.82/19.36 tff(34465,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB127)) | v183(constB127))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34466,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB127) | (~v184(constB127))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34465, 34464])).
% 28.82/19.36 tff(34467,plain,
% 28.82/19.36 (v183(constB127)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34466, 27286, 34460])).
% 28.82/19.36 tff(34468,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB127)) | (~v183(constB127)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB127)) | (~v183(constB127)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34469,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB127)) | (~v183(constB127)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34470,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB127)) | (~v183(constB127))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34469, 34468])).
% 28.82/19.36 tff(34471,plain,
% 28.82/19.36 (~v181(constB127)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34470, 27300, 34467])).
% 28.82/19.36 tff(34472,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB127) | v185(constB127) | (~v178(constB127)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB127) | v185(constB127) | (~v178(constB127)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34473,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB127) | v185(constB127) | (~v178(constB127)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34474,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB127) | v185(constB127) | (~v178(constB127))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34473, 34472])).
% 28.82/19.36 tff(34475,plain,
% 28.82/19.36 (v185(constB127) | (~v178(constB127))),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34474, 27314, 34471])).
% 28.82/19.36 tff(34476,plain,
% 28.82/19.36 (~v178(constB127)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34475, 34433])).
% 28.82/19.36 tff(34477,plain,
% 28.82/19.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB127, constB128)) | v178(constB127) | (~v180(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB127, constB128)) | v178(constB127) | (~v180(constB128)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34478,plain,
% 28.82/19.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB127, constB128)) | v178(constB127) | (~v180(constB128)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34479,plain,
% 28.82/19.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB127, constB128)) | v178(constB127) | (~v180(constB128))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34478, 34477])).
% 28.82/19.36 tff(34480,plain,
% 28.82/19.36 (v178(constB127) | (~v180(constB128))),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34479, 27329, 17814])).
% 28.82/19.36 tff(34481,plain,
% 28.82/19.36 (~v180(constB128)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34480, 34476])).
% 28.82/19.36 tff(34482,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB128) | (~v181(constB128)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB128) | (~v181(constB128)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34483,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB128) | (~v181(constB128)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34484,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB128) | (~v181(constB128))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34483, 34482])).
% 28.82/19.36 tff(34485,plain,
% 28.82/19.36 (~v181(constB128)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34484, 27344, 34481])).
% 28.82/19.36 tff(34486,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB128)) | (~v184(constB128)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB128)) | (~v184(constB128)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34487,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB128)) | (~v184(constB128)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34488,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB128)) | (~v184(constB128))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34487, 34486])).
% 28.82/19.36 tff(34489,plain,
% 28.82/19.36 (~v184(constB128)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34488, 59, 19271])).
% 28.82/19.36 tff(34490,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB128) | (~v187(constB128)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB128) | (~v187(constB128)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34491,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB128) | (~v187(constB128)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34492,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB128) | (~v187(constB128))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34491, 34490])).
% 28.82/19.36 tff(34493,plain,
% 28.82/19.36 (~v187(constB128)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34492, 27362, 34489])).
% 28.82/19.36 tff(34494,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB128) | (~v185(constB128)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB128) | (~v185(constB128)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34495,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB128) | (~v185(constB128)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34496,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB128) | (~v185(constB128))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34495, 34494])).
% 28.82/19.36 tff(34497,plain,
% 28.82/19.36 (~v185(constB128)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34496, 27188, 34493])).
% 28.82/19.36 tff(34498,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB128) | v185(constB128) | (~v178(constB128)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB128) | v185(constB128) | (~v178(constB128)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34499,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB128) | v185(constB128) | (~v178(constB128)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34500,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB128) | v185(constB128) | (~v178(constB128))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34499, 34498])).
% 28.82/19.36 tff(34501,plain,
% 28.82/19.36 (v181(constB128) | (~v178(constB128))),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34500, 27314, 34497])).
% 28.82/19.36 tff(34502,plain,
% 28.82/19.36 (~v178(constB128)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34501, 34485])).
% 28.82/19.36 tff(34503,plain,
% 28.82/19.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB128, constB129)) | v178(constB128) | (~v180(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB128, constB129)) | v178(constB128) | (~v180(constB129)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34504,plain,
% 28.82/19.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB128, constB129)) | v178(constB128) | (~v180(constB129)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34505,plain,
% 28.82/19.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB128, constB129)) | v178(constB128) | (~v180(constB129))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34504, 34503])).
% 28.82/19.36 tff(34506,plain,
% 28.82/19.36 (v178(constB128) | (~v180(constB129))),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34505, 27329, 17609])).
% 28.82/19.36 tff(34507,plain,
% 28.82/19.36 (~v180(constB129)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34506, 34502])).
% 28.82/19.36 tff(34508,plain,
% 28.82/19.36 ($false),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34507, 34372])).
% 28.82/19.36 tff(34509,plain,(~(constB129 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.36 tff(34510,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB187, 2)) | v90(constB187, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB187, 2)) | v90(constB187, 2))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34511,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB187, 2)) | v90(constB187, 2))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34512,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB187, 2)) | v90(constB187, 2)),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34511, 34510])).
% 28.82/19.36 tff(34513,plain,
% 28.82/19.36 (~v88(constB187, 2)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34512, 27032, 25893])).
% 28.82/19.36 tff(34514,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB187, 1)) | v88(constB187, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB187, 1)) | v88(constB187, 1))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34515,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB187, 1)) | v88(constB187, 1))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34516,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB187, 1)) | v88(constB187, 1)),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34515, 34514])).
% 28.82/19.36 tff(34517,plain,
% 28.82/19.36 (v88(constB187, 1)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34516, 26945, 25924])).
% 28.82/19.36 tff(34518,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB187, 0)) | v88(constB187, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB187, 0)) | v88(constB187, 0))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34519,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB187, 0)) | v88(constB187, 0))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34520,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB187, 0)) | v88(constB187, 0)),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34519, 34518])).
% 28.82/19.36 tff(34521,plain,
% 28.82/19.36 (v88(constB187, 0)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34520, 27874, 25986])).
% 28.82/19.36 tff(34522,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB187, 2) | (~v88(constB187, 0)) | (~v88(constB187, 1)) | v141(constB187))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB187, 2) | (~v88(constB187, 0)) | (~v88(constB187, 1)) | v141(constB187))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34523,plain,
% 28.82/19.36 ((v88(constB187, 2) | (~v88(constB187, 1)) | (~v88(constB187, 0)) | v141(constB187)) <=> (v88(constB187, 2) | (~v88(constB187, 0)) | (~v88(constB187, 1)) | v141(constB187))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34524,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB187, 2) | (~v88(constB187, 1)) | (~v88(constB187, 0)) | v141(constB187))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB187, 2) | (~v88(constB187, 0)) | (~v88(constB187, 1)) | v141(constB187)))),
% 28.82/19.36 inference(monotonicity,[status(thm)],[34523])).
% 28.82/19.36 tff(34525,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB187, 2) | (~v88(constB187, 1)) | (~v88(constB187, 0)) | v141(constB187))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB187, 2) | (~v88(constB187, 0)) | (~v88(constB187, 1)) | v141(constB187))),
% 28.82/19.36 inference(transitivity,[status(thm)],[34524, 34522])).
% 28.82/19.36 tff(34526,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB187, 2) | (~v88(constB187, 1)) | (~v88(constB187, 0)) | v141(constB187))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34527,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB187, 2) | (~v88(constB187, 0)) | (~v88(constB187, 1)) | v141(constB187)),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34526, 34525])).
% 28.82/19.36 tff(34528,plain,
% 28.82/19.36 (v141(constB187)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34527, 28757, 34521, 34517, 34513])).
% 28.82/19.36 tff(34529,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | (v166(constB187) | (~v141(constB187)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | v166(constB187) | (~v141(constB187)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34530,plain,
% 28.82/19.36 (((~v141(constB187)) | v166(constB187)) <=> (v166(constB187) | (~v141(constB187)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34531,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB187)) | v166(constB187))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | (v166(constB187) | (~v141(constB187))))),
% 28.82/19.36 inference(monotonicity,[status(thm)],[34530])).
% 28.82/19.36 tff(34532,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB187)) | v166(constB187))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | v166(constB187) | (~v141(constB187)))),
% 28.82/19.36 inference(transitivity,[status(thm)],[34531, 34529])).
% 28.82/19.36 tff(34533,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB187)) | v166(constB187))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34534,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | v166(constB187) | (~v141(constB187))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34533, 34532])).
% 28.82/19.36 tff(34535,plain,
% 28.82/19.36 (v166(constB187)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34534, 28771, 34528])).
% 28.82/19.36 tff(34536,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB187)) | v165(constB187))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (~v166(constB187)) | v165(constB187))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34537,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB187)) | v165(constB187))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34538,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (~v166(constB187)) | v165(constB187)),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34537, 34536])).
% 28.82/19.36 tff(34539,plain,
% 28.82/19.36 (v165(constB187)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34538, 28782, 34535])).
% 28.82/19.36 tff(34540,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB187) | (~v165(constB187)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB187) | (~v165(constB187)))),
% 28.82/19.36 inference(rewrite,[status(thm)],[])).
% 28.82/19.36 tff(34541,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB187) | (~v165(constB187)))),
% 28.82/19.36 inference(quant_inst,[status(thm)],[])).
% 28.82/19.36 tff(34542,plain,
% 28.82/19.36 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB187) | (~v165(constB187))),
% 28.82/19.36 inference(modus_ponens,[status(thm)],[34541, 34540])).
% 28.82/19.36 tff(34543,plain,
% 28.82/19.36 (v164(constB187)),
% 28.82/19.36 inference(unit_resolution,[status(thm)],[34542, 27089, 34539])).
% 28.82/19.36 tff(34544,plain,
% 28.82/19.36 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB187)) | (~v88(constB187, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB187)) | (~v88(constB187, 1)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34545,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB187)) | (~v88(constB187, 1)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34546,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB187)) | (~v88(constB187, 1))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34545, 34544])).
% 28.82/19.37 tff(34547,plain,
% 28.82/19.37 (~v140(constB187)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34546, 27128, 34517])).
% 28.82/19.37 tff(34548,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB187)) | (~v88(constB187, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB187)) | (~v88(constB187, 0)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34549,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB187)) | (~v88(constB187, 0)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34550,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB187)) | (~v88(constB187, 0))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34549, 34548])).
% 28.82/19.37 tff(34551,plain,
% 28.82/19.37 (~v139(constB187)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34550, 27885, 34521])).
% 28.82/19.37 tff(34552,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB187) | v140(constB187) | (~v168(constB187)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB187) | v140(constB187) | (~v168(constB187)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34553,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB187) | v140(constB187) | (~v168(constB187)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34554,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB187) | v140(constB187) | (~v168(constB187))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34553, 34552])).
% 28.82/19.37 tff(34555,plain,
% 28.82/19.37 (~v168(constB187)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34554, 27142, 34551, 34547])).
% 28.82/19.37 tff(34556,plain,
% 28.82/19.37 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB187)) | (~v164(constB187)) | v168(constB187))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB187)) | (~v164(constB187)) | v168(constB187))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34557,plain,
% 28.82/19.37 (((~v164(constB187)) | v168(constB187) | (~v161(constB187))) <=> ((~v161(constB187)) | (~v164(constB187)) | v168(constB187))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34558,plain,
% 28.82/19.37 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB187)) | v168(constB187) | (~v161(constB187)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB187)) | (~v164(constB187)) | v168(constB187)))),
% 28.82/19.37 inference(monotonicity,[status(thm)],[34557])).
% 28.82/19.37 tff(34559,plain,
% 28.82/19.37 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB187)) | v168(constB187) | (~v161(constB187)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB187)) | (~v164(constB187)) | v168(constB187))),
% 28.82/19.37 inference(transitivity,[status(thm)],[34558, 34556])).
% 28.82/19.37 tff(34560,plain,
% 28.82/19.37 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB187)) | v168(constB187) | (~v161(constB187)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34561,plain,
% 28.82/19.37 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB187)) | (~v164(constB187)) | v168(constB187)),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34560, 34559])).
% 28.82/19.37 tff(34562,plain,
% 28.82/19.37 ((~v161(constB187)) | (~v164(constB187))),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34561, 27156, 34555])).
% 28.82/19.37 tff(34563,plain,
% 28.82/19.37 (~v161(constB187)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34562, 34543])).
% 28.82/19.37 tff(34564,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB187) | (~v187(constB187)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB187) | (~v187(constB187)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34565,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB187) | (~v187(constB187)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34566,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB187) | (~v187(constB187))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34565, 34564])).
% 28.82/19.37 tff(34567,plain,
% 28.82/19.37 (~v187(constB187)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34566, 27174, 34563])).
% 28.82/19.37 tff(34568,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB187) | (~v185(constB187)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB187) | (~v185(constB187)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34569,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB187) | (~v185(constB187)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34570,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB187) | (~v185(constB187))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34569, 34568])).
% 28.82/19.37 tff(34571,plain,
% 28.82/19.37 (~v185(constB187)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34570, 27188, 34567])).
% 28.82/19.37 tff(34572,assumption,(v18(constB188)), introduced(assumption)).
% 28.82/19.37 tff(34573,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB188))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34574,plain,
% 28.82/19.37 ($false),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34573, 27200, 34572])).
% 28.82/19.37 tff(34575,plain,(~v18(constB188)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.37 tff(34576,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB188) | (~v1(constB188)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB188) | (~v1(constB188)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34577,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB188) | (~v1(constB188)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34578,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB188) | (~v1(constB188))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34577, 34576])).
% 28.82/19.37 tff(34579,plain,
% 28.82/19.37 (v22(constB188)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34578, 27216, 26061])).
% 28.82/19.37 tff(34580,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB188) | (~v22(constB188)) | (~v19(constB188)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB188) | (~v22(constB188)) | (~v19(constB188)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34581,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB188) | (~v22(constB188)) | (~v19(constB188)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34582,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB188) | (~v22(constB188)) | (~v19(constB188))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34581, 34580])).
% 28.82/19.37 tff(34583,plain,
% 28.82/19.37 (v18(constB188) | (~v19(constB188))),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34582, 27230, 34579])).
% 28.82/19.37 tff(34584,plain,
% 28.82/19.37 (~v19(constB188)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34583, 34575])).
% 28.82/19.37 tff(34585,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB188) | v19(constB188))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB188) | v19(constB188))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34586,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB188) | v19(constB188))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34587,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB188) | v19(constB188)),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34586, 34585])).
% 28.82/19.37 tff(34588,plain,
% 28.82/19.37 (v13(constB188)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34587, 27242, 34584])).
% 28.82/19.37 tff(34589,plain,
% 28.82/19.37 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB187) | (~v13(constB188)) | (~nextState(constB187, constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB187) | (~v13(constB188)) | (~nextState(constB187, constB188)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34590,plain,
% 28.82/19.37 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB187) | (~v13(constB188)) | (~nextState(constB187, constB188)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34591,plain,
% 28.82/19.37 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB187) | (~v13(constB188)) | (~nextState(constB187, constB188))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34590, 34589])).
% 28.82/19.37 tff(34592,plain,
% 28.82/19.37 (v9(constB187) | (~v13(constB188))),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34591, 27259, 26041])).
% 28.82/19.37 tff(34593,plain,
% 28.82/19.37 (v9(constB187)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34592, 34588])).
% 28.82/19.37 tff(34594,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB187) | (~v9(constB187)) | v184(constB187))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB187) | (~v9(constB187)) | v184(constB187))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34595,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB187) | (~v9(constB187)) | v184(constB187))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34596,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB187) | (~v9(constB187)) | v184(constB187)),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34595, 34594])).
% 28.82/19.37 tff(34597,plain,
% 28.82/19.37 ((~v9(constB187)) | v184(constB187)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34596, 27274, 25869])).
% 28.82/19.37 tff(34598,plain,
% 28.82/19.37 (v184(constB187)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34597, 34593])).
% 28.82/19.37 tff(34599,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB187) | (~v184(constB187)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB187) | (~v184(constB187)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34600,plain,
% 28.82/19.37 (((~v184(constB187)) | v183(constB187)) <=> (v183(constB187) | (~v184(constB187)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34601,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB187)) | v183(constB187))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB187) | (~v184(constB187))))),
% 28.82/19.37 inference(monotonicity,[status(thm)],[34600])).
% 28.82/19.37 tff(34602,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB187)) | v183(constB187))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB187) | (~v184(constB187)))),
% 28.82/19.37 inference(transitivity,[status(thm)],[34601, 34599])).
% 28.82/19.37 tff(34603,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB187)) | v183(constB187))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34604,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB187) | (~v184(constB187))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34603, 34602])).
% 28.82/19.37 tff(34605,plain,
% 28.82/19.37 (v183(constB187)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34604, 27286, 34598])).
% 28.82/19.37 tff(34606,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB187)) | (~v183(constB187)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB187)) | (~v183(constB187)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34607,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB187)) | (~v183(constB187)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34608,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB187)) | (~v183(constB187))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34607, 34606])).
% 28.82/19.37 tff(34609,plain,
% 28.82/19.37 (~v181(constB187)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34608, 27300, 34605])).
% 28.82/19.37 tff(34610,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB187) | v185(constB187) | (~v178(constB187)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB187) | v185(constB187) | (~v178(constB187)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34611,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB187) | v185(constB187) | (~v178(constB187)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34612,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB187) | v185(constB187) | (~v178(constB187))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34611, 34610])).
% 28.82/19.37 tff(34613,plain,
% 28.82/19.37 (v185(constB187) | (~v178(constB187))),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34612, 27314, 34609])).
% 28.82/19.37 tff(34614,plain,
% 28.82/19.37 (~v178(constB187)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34613, 34571])).
% 28.82/19.37 tff(34615,plain,
% 28.82/19.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB187, constB188)) | v178(constB187) | (~v180(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB187, constB188)) | v178(constB187) | (~v180(constB188)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34616,plain,
% 28.82/19.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB187, constB188)) | v178(constB187) | (~v180(constB188)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34617,plain,
% 28.82/19.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB187, constB188)) | v178(constB187) | (~v180(constB188))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34616, 34615])).
% 28.82/19.37 tff(34618,plain,
% 28.82/19.37 (v178(constB187) | (~v180(constB188))),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34617, 27329, 26041])).
% 28.82/19.37 tff(34619,plain,
% 28.82/19.37 (~v180(constB188)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34618, 34614])).
% 28.82/19.37 tff(34620,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB188) | (~v181(constB188)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB188) | (~v181(constB188)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34621,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB188) | (~v181(constB188)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34622,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB188) | (~v181(constB188))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34621, 34620])).
% 28.82/19.37 tff(34623,plain,
% 28.82/19.37 (~v181(constB188)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34622, 27344, 34619])).
% 28.82/19.37 tff(34624,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB188)) | (~v184(constB188)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB188)) | (~v184(constB188)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34625,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB188)) | (~v184(constB188)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34626,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB188)) | (~v184(constB188))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34625, 34624])).
% 28.82/19.37 tff(34627,plain,
% 28.82/19.37 (~v184(constB188)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34626, 59, 26061])).
% 28.82/19.37 tff(34628,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB188) | (~v187(constB188)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB188) | (~v187(constB188)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34629,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB188) | (~v187(constB188)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34630,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB188) | (~v187(constB188))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34629, 34628])).
% 28.82/19.37 tff(34631,plain,
% 28.82/19.37 (~v187(constB188)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34630, 27362, 34627])).
% 28.82/19.37 tff(34632,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB188) | (~v185(constB188)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB188) | (~v185(constB188)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34633,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB188) | (~v185(constB188)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34634,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB188) | (~v185(constB188))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34633, 34632])).
% 28.82/19.37 tff(34635,plain,
% 28.82/19.37 (~v185(constB188)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34634, 27188, 34631])).
% 28.82/19.37 tff(34636,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB188) | v185(constB188) | (~v178(constB188)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB188) | v185(constB188) | (~v178(constB188)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34637,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB188) | v185(constB188) | (~v178(constB188)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34638,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB188) | v185(constB188) | (~v178(constB188))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34637, 34636])).
% 28.82/19.37 tff(34639,plain,
% 28.82/19.37 (v181(constB188) | (~v178(constB188))),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34638, 27314, 34635])).
% 28.82/19.37 tff(34640,plain,
% 28.82/19.37 (~v178(constB188)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34639, 34623])).
% 28.82/19.37 tff(34641,plain,
% 28.82/19.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB188, constB189)) | v178(constB188) | (~v180(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB188, constB189)) | v178(constB188) | (~v180(constB189)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34642,plain,
% 28.82/19.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB188, constB189)) | v178(constB188) | (~v180(constB189)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34643,plain,
% 28.82/19.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB188, constB189)) | v178(constB188) | (~v180(constB189))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34642, 34641])).
% 28.82/19.37 tff(34644,plain,
% 28.82/19.37 (v178(constB188) | (~v180(constB189))),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34643, 27329, 26103])).
% 28.82/19.37 tff(34645,plain,
% 28.82/19.37 (~v180(constB189)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34644, 34640])).
% 28.82/19.37 tff(34646,assumption,(constB189 = sK_VarCurr), introduced(assumption)).
% 28.82/19.37 tff(34647,plain,
% 28.82/19.37 (v180(constB189) <=> v180(sK_VarCurr)),
% 28.82/19.37 inference(monotonicity,[status(thm)],[34646])).
% 28.82/19.37 tff(34648,plain,
% 28.82/19.37 (v180(sK_VarCurr) <=> v180(constB189)),
% 28.82/19.37 inference(symmetry,[status(thm)],[34647])).
% 28.82/19.37 tff(34649,plain,
% 28.82/19.37 (v180(constB189)),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[86, 34648])).
% 28.82/19.37 tff(34650,assumption,(~v180(constB189)), introduced(assumption)).
% 28.82/19.37 tff(34651,plain,
% 28.82/19.37 ($false),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34650, 34649])).
% 28.82/19.37 tff(34652,plain,((~(constB189 = sK_VarCurr)) | v180(constB189)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.37 tff(34653,plain,
% 28.82/19.37 (~(constB189 = sK_VarCurr)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34652, 34645])).
% 28.82/19.37 tff(34654,assumption,(v142(constB197)), introduced(assumption)).
% 28.82/19.37 tff(34655,plain,
% 28.82/19.37 (v165(constB197)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[27078, 27075, 34654])).
% 28.82/19.37 tff(34656,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB197)) | v148(constB197))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB197)) | v148(constB197))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34657,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB197)) | v148(constB197))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34658,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB197)) | v148(constB197)),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34657, 34656])).
% 28.82/19.37 tff(34659,plain,
% 28.82/19.37 (v148(constB197)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34658, 29528, 34654])).
% 28.82/19.37 tff(34660,assumption,(~v86(constB197)), introduced(assumption)).
% 28.82/19.37 tff(34661,plain,
% 28.82/19.37 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | (v86(constB197) | (~v164(constB197)) | (~v148(constB197)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB197) | (~v164(constB197)) | (~v148(constB197)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34662,plain,
% 28.82/19.37 (((~v148(constB197)) | v86(constB197) | (~v164(constB197))) <=> (v86(constB197) | (~v164(constB197)) | (~v148(constB197)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34663,plain,
% 28.82/19.37 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB197)) | v86(constB197) | (~v164(constB197)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | (v86(constB197) | (~v164(constB197)) | (~v148(constB197))))),
% 28.82/19.37 inference(monotonicity,[status(thm)],[34662])).
% 28.82/19.37 tff(34664,plain,
% 28.82/19.37 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB197)) | v86(constB197) | (~v164(constB197)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB197) | (~v164(constB197)) | (~v148(constB197)))),
% 28.82/19.37 inference(transitivity,[status(thm)],[34663, 34661])).
% 28.82/19.37 tff(34665,plain,
% 28.82/19.37 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB197)) | v86(constB197) | (~v164(constB197)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34666,plain,
% 28.82/19.37 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB197) | (~v164(constB197)) | (~v148(constB197))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34665, 34664])).
% 28.82/19.37 tff(34667,plain,
% 28.82/19.37 ((~v164(constB197)) | (~v148(constB197))),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34666, 29550, 34660])).
% 28.82/19.37 tff(34668,plain,
% 28.82/19.37 (~v164(constB197)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34667, 34659])).
% 28.82/19.37 tff(34669,plain,
% 28.82/19.37 ($false),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[27092, 27089, 34668, 34655])).
% 28.82/19.37 tff(34670,plain,((~v142(constB197)) | v86(constB197)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.37 tff(34671,plain,
% 28.82/19.37 (v86(constB197)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34670, 27068])).
% 28.82/19.37 tff(34672,assumption,(constB197 = sK_VarCurr), introduced(assumption)).
% 28.82/19.37 tff(34673,plain,
% 28.82/19.37 (v86(constB197) <=> v86(sK_VarCurr)),
% 28.82/19.37 inference(monotonicity,[status(thm)],[34672])).
% 28.82/19.37 tff(34674,plain,
% 28.82/19.37 (v86(sK_VarCurr) <=> v86(constB197)),
% 28.82/19.37 inference(symmetry,[status(thm)],[34673])).
% 28.82/19.37 tff(34675,plain,
% 28.82/19.37 ((~v86(sK_VarCurr)) <=> (~v86(constB197))),
% 28.82/19.37 inference(monotonicity,[status(thm)],[34674])).
% 28.82/19.37 tff(34676,plain,
% 28.82/19.37 (~v86(constB197)),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[29494, 34675])).
% 28.82/19.37 tff(34677,assumption,(v86(constB197)), introduced(assumption)).
% 28.82/19.37 tff(34678,plain,
% 28.82/19.37 ($false),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34677, 34676])).
% 28.82/19.37 tff(34679,plain,((~(constB197 = sK_VarCurr)) | (~v86(constB197))), inference(lemma,lemma(discharge,[]))).
% 28.82/19.37 tff(34680,plain,
% 28.82/19.37 (~(constB197 = sK_VarCurr)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34679, 34671])).
% 28.82/19.37 tff(34681,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB191, 2)) | v88(constB191, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB191, 2)) | v88(constB191, 2))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34682,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB191, 2)) | v88(constB191, 2))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34683,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB191, 2)) | v88(constB191, 2)),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34682, 34681])).
% 28.82/19.37 tff(34684,plain,
% 28.82/19.37 (v88(constB191, 2)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34683, 27680, 26334])).
% 28.82/19.37 tff(34685,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB191)) | (~v88(constB191, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB191)) | (~v88(constB191, 2)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34686,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB191)) | (~v88(constB191, 2)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34687,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB191)) | (~v88(constB191, 2))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34686, 34685])).
% 28.82/19.37 tff(34688,plain,
% 28.82/19.37 (~v140(constB191)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34687, 27702, 34684])).
% 28.82/19.37 tff(34689,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB191, 0)) | v88(constB191, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB191, 0)) | v88(constB191, 0))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34690,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB191, 0)) | v88(constB191, 0))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34691,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB191, 0)) | v88(constB191, 0)),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34690, 34689])).
% 28.82/19.37 tff(34692,plain,
% 28.82/19.37 (v88(constB191, 0)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34691, 27874, 26399])).
% 28.82/19.37 tff(34693,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB191)) | (~v88(constB191, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB191)) | (~v88(constB191, 0)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34694,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB191)) | (~v88(constB191, 0)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34695,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB191)) | (~v88(constB191, 0))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34694, 34693])).
% 28.82/19.37 tff(34696,plain,
% 28.82/19.37 (~v139(constB191)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34695, 27885, 34692])).
% 28.82/19.37 tff(34697,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB191) | v140(constB191) | (~v168(constB191)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB191) | v140(constB191) | (~v168(constB191)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34698,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB191) | v140(constB191) | (~v168(constB191)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34699,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB191) | v140(constB191) | (~v168(constB191))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34698, 34697])).
% 28.82/19.37 tff(34700,plain,
% 28.82/19.37 (~v168(constB191)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34699, 27142, 34696, 34688])).
% 28.82/19.37 tff(34701,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB191, 1)) | v90(constB191, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB191, 1)) | v90(constB191, 1))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34702,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB191, 1)) | v90(constB191, 1))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34703,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB191, 1)) | v90(constB191, 1)),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34702, 34701])).
% 28.82/19.37 tff(34704,plain,
% 28.82/19.37 (~v88(constB191, 1)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34703, 27717, 26368])).
% 28.82/19.37 tff(34705,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB191, 0)) | v147(constB191) | (~v88(constB191, 2)) | v88(constB191, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB191, 0)) | v147(constB191) | (~v88(constB191, 2)) | v88(constB191, 1))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34706,plain,
% 28.82/19.37 (((~v88(constB191, 2)) | v88(constB191, 1) | (~v88(constB191, 0)) | v147(constB191)) <=> ((~v88(constB191, 0)) | v147(constB191) | (~v88(constB191, 2)) | v88(constB191, 1))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34707,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB191, 2)) | v88(constB191, 1) | (~v88(constB191, 0)) | v147(constB191))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB191, 0)) | v147(constB191) | (~v88(constB191, 2)) | v88(constB191, 1)))),
% 28.82/19.37 inference(monotonicity,[status(thm)],[34706])).
% 28.82/19.37 tff(34708,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB191, 2)) | v88(constB191, 1) | (~v88(constB191, 0)) | v147(constB191))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB191, 0)) | v147(constB191) | (~v88(constB191, 2)) | v88(constB191, 1))),
% 28.82/19.37 inference(transitivity,[status(thm)],[34707, 34705])).
% 28.82/19.37 tff(34709,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB191, 2)) | v88(constB191, 1) | (~v88(constB191, 0)) | v147(constB191))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34710,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB191, 0)) | v147(constB191) | (~v88(constB191, 2)) | v88(constB191, 1)),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34709, 34708])).
% 28.82/19.37 tff(34711,plain,
% 28.82/19.37 (v147(constB191)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34710, 27907, 34692, 34684, 34704])).
% 28.82/19.37 tff(34712,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB191)) | v145(constB191))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB191)) | v145(constB191))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34713,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB191)) | v145(constB191))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34714,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB191)) | v145(constB191)),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34713, 34712])).
% 28.82/19.37 tff(34715,plain,
% 28.82/19.37 (v145(constB191)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34714, 27921, 34711])).
% 28.82/19.37 tff(34716,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB191) | (~v145(constB191)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB191) | (~v145(constB191)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34717,plain,
% 28.82/19.37 (((~v145(constB191)) | v164(constB191)) <=> (v164(constB191) | (~v145(constB191)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34718,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB191)) | v164(constB191))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB191) | (~v145(constB191))))),
% 28.82/19.37 inference(monotonicity,[status(thm)],[34717])).
% 28.82/19.37 tff(34719,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB191)) | v164(constB191))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB191) | (~v145(constB191)))),
% 28.82/19.37 inference(transitivity,[status(thm)],[34718, 34716])).
% 28.82/19.37 tff(34720,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB191)) | v164(constB191))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34721,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB191) | (~v145(constB191))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34720, 34719])).
% 28.82/19.37 tff(34722,plain,
% 28.82/19.37 (v164(constB191)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34721, 27760, 34715])).
% 28.82/19.37 tff(34723,plain,
% 28.82/19.37 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB191)) | v168(constB191) | (~v164(constB191)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB191)) | v168(constB191) | (~v164(constB191)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34724,plain,
% 28.82/19.37 (((~v164(constB191)) | v168(constB191) | (~v161(constB191))) <=> ((~v161(constB191)) | v168(constB191) | (~v164(constB191)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34725,plain,
% 28.82/19.37 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB191)) | v168(constB191) | (~v161(constB191)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB191)) | v168(constB191) | (~v164(constB191))))),
% 28.82/19.37 inference(monotonicity,[status(thm)],[34724])).
% 28.82/19.37 tff(34726,plain,
% 28.82/19.37 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB191)) | v168(constB191) | (~v161(constB191)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB191)) | v168(constB191) | (~v164(constB191)))),
% 28.82/19.37 inference(transitivity,[status(thm)],[34725, 34723])).
% 28.82/19.37 tff(34727,plain,
% 28.82/19.37 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB191)) | v168(constB191) | (~v161(constB191)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34728,plain,
% 28.82/19.37 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB191)) | v168(constB191) | (~v164(constB191))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34727, 34726])).
% 28.82/19.37 tff(34729,plain,
% 28.82/19.37 (~v161(constB191)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34728, 27156, 34722, 34700])).
% 28.82/19.37 tff(34730,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB191) | (~v187(constB191)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB191) | (~v187(constB191)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34731,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB191) | (~v187(constB191)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34732,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB191) | (~v187(constB191))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34731, 34730])).
% 28.82/19.37 tff(34733,plain,
% 28.82/19.37 (~v187(constB191)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34732, 27174, 34729])).
% 28.82/19.37 tff(34734,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB191) | (~v185(constB191)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB191) | (~v185(constB191)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34735,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB191) | (~v185(constB191)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34736,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB191) | (~v185(constB191))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34735, 34734])).
% 28.82/19.37 tff(34737,plain,
% 28.82/19.37 (~v185(constB191)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34736, 27188, 34733])).
% 28.82/19.37 tff(34738,assumption,(v18(constB192)), introduced(assumption)).
% 28.82/19.37 tff(34739,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB192))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34740,plain,
% 28.82/19.37 ($false),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34739, 27200, 34738])).
% 28.82/19.37 tff(34741,plain,(~v18(constB192)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.37 tff(34742,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB192) | (~v1(constB192)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB192) | (~v1(constB192)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34743,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB192) | (~v1(constB192)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34744,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB192) | (~v1(constB192))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34743, 34742])).
% 28.82/19.37 tff(34745,plain,
% 28.82/19.37 (v22(constB192)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34744, 27216, 26453])).
% 28.82/19.37 tff(34746,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB192) | (~v22(constB192)) | (~v19(constB192)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB192) | (~v22(constB192)) | (~v19(constB192)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34747,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB192) | (~v22(constB192)) | (~v19(constB192)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34748,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB192) | (~v22(constB192)) | (~v19(constB192))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34747, 34746])).
% 28.82/19.37 tff(34749,plain,
% 28.82/19.37 (v18(constB192) | (~v19(constB192))),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34748, 27230, 34745])).
% 28.82/19.37 tff(34750,plain,
% 28.82/19.37 (~v19(constB192)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34749, 34741])).
% 28.82/19.37 tff(34751,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB192) | v19(constB192))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB192) | v19(constB192))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34752,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB192) | v19(constB192))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34753,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB192) | v19(constB192)),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34752, 34751])).
% 28.82/19.37 tff(34754,plain,
% 28.82/19.37 (v13(constB192)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34753, 27242, 34750])).
% 28.82/19.37 tff(34755,plain,
% 28.82/19.37 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB191) | (~v13(constB192)) | (~nextState(constB191, constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB191) | (~v13(constB192)) | (~nextState(constB191, constB192)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34756,plain,
% 28.82/19.37 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB191) | (~v13(constB192)) | (~nextState(constB191, constB192)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34757,plain,
% 28.82/19.37 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB191) | (~v13(constB192)) | (~nextState(constB191, constB192))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34756, 34755])).
% 28.82/19.37 tff(34758,plain,
% 28.82/19.37 (v9(constB191) | (~v13(constB192))),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34757, 27259, 26433])).
% 28.82/19.37 tff(34759,plain,
% 28.82/19.37 (v9(constB191)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34758, 34754])).
% 28.82/19.37 tff(34760,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB191) | (~v9(constB191)) | v184(constB191))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB191) | (~v9(constB191)) | v184(constB191))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34761,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB191) | (~v9(constB191)) | v184(constB191))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34762,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB191) | (~v9(constB191)) | v184(constB191)),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34761, 34760])).
% 28.82/19.37 tff(34763,plain,
% 28.82/19.37 ((~v9(constB191)) | v184(constB191)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34762, 27274, 26310])).
% 28.82/19.37 tff(34764,plain,
% 28.82/19.37 (v184(constB191)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34763, 34759])).
% 28.82/19.37 tff(34765,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB191) | (~v184(constB191)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB191) | (~v184(constB191)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34766,plain,
% 28.82/19.37 (((~v184(constB191)) | v183(constB191)) <=> (v183(constB191) | (~v184(constB191)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34767,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB191)) | v183(constB191))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB191) | (~v184(constB191))))),
% 28.82/19.37 inference(monotonicity,[status(thm)],[34766])).
% 28.82/19.37 tff(34768,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB191)) | v183(constB191))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB191) | (~v184(constB191)))),
% 28.82/19.37 inference(transitivity,[status(thm)],[34767, 34765])).
% 28.82/19.37 tff(34769,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB191)) | v183(constB191))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34770,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB191) | (~v184(constB191))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34769, 34768])).
% 28.82/19.37 tff(34771,plain,
% 28.82/19.37 (v183(constB191)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34770, 27286, 34764])).
% 28.82/19.37 tff(34772,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB191)) | (~v183(constB191)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB191)) | (~v183(constB191)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34773,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB191)) | (~v183(constB191)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34774,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB191)) | (~v183(constB191))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34773, 34772])).
% 28.82/19.37 tff(34775,plain,
% 28.82/19.37 (~v181(constB191)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34774, 27300, 34771])).
% 28.82/19.37 tff(34776,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB191) | v185(constB191) | (~v178(constB191)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB191) | v185(constB191) | (~v178(constB191)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34777,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB191) | v185(constB191) | (~v178(constB191)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34778,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB191) | v185(constB191) | (~v178(constB191))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34777, 34776])).
% 28.82/19.37 tff(34779,plain,
% 28.82/19.37 (v185(constB191) | (~v178(constB191))),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34778, 27314, 34775])).
% 28.82/19.37 tff(34780,plain,
% 28.82/19.37 (~v178(constB191)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34779, 34737])).
% 28.82/19.37 tff(34781,plain,
% 28.82/19.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB191, constB192)) | v178(constB191) | (~v180(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB191, constB192)) | v178(constB191) | (~v180(constB192)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34782,plain,
% 28.82/19.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB191, constB192)) | v178(constB191) | (~v180(constB192)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34783,plain,
% 28.82/19.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB191, constB192)) | v178(constB191) | (~v180(constB192))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34782, 34781])).
% 28.82/19.37 tff(34784,plain,
% 28.82/19.37 (v178(constB191) | (~v180(constB192))),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34783, 27329, 26433])).
% 28.82/19.37 tff(34785,plain,
% 28.82/19.37 (~v180(constB192)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34784, 34780])).
% 28.82/19.37 tff(34786,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB192) | (~v181(constB192)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB192) | (~v181(constB192)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34787,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB192) | (~v181(constB192)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34788,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB192) | (~v181(constB192))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34787, 34786])).
% 28.82/19.37 tff(34789,plain,
% 28.82/19.37 (~v181(constB192)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34788, 27344, 34785])).
% 28.82/19.37 tff(34790,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB192)) | (~v184(constB192)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB192)) | (~v184(constB192)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34791,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB192)) | (~v184(constB192)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34792,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB192)) | (~v184(constB192))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34791, 34790])).
% 28.82/19.37 tff(34793,plain,
% 28.82/19.37 (~v184(constB192)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34792, 59, 26453])).
% 28.82/19.37 tff(34794,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB192) | (~v187(constB192)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB192) | (~v187(constB192)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34795,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB192) | (~v187(constB192)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34796,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB192) | (~v187(constB192))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34795, 34794])).
% 28.82/19.37 tff(34797,plain,
% 28.82/19.37 (~v187(constB192)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34796, 27362, 34793])).
% 28.82/19.37 tff(34798,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB192) | (~v185(constB192)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB192) | (~v185(constB192)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34799,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB192) | (~v185(constB192)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34800,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB192) | (~v185(constB192))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34799, 34798])).
% 28.82/19.37 tff(34801,plain,
% 28.82/19.37 (~v185(constB192)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34800, 27188, 34797])).
% 28.82/19.37 tff(34802,plain,
% 28.82/19.37 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB192) | v185(constB192) | (~v178(constB192)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB192) | v185(constB192) | (~v178(constB192)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34803,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB192) | v185(constB192) | (~v178(constB192)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34804,plain,
% 28.82/19.37 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB192) | v185(constB192) | (~v178(constB192))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34803, 34802])).
% 28.82/19.37 tff(34805,plain,
% 28.82/19.37 (v181(constB192) | (~v178(constB192))),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34804, 27314, 34801])).
% 28.82/19.37 tff(34806,plain,
% 28.82/19.37 (~v178(constB192)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34805, 34789])).
% 28.82/19.37 tff(34807,plain,
% 28.82/19.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB192, constB193)) | v178(constB192) | (~v180(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB192, constB193)) | v178(constB192) | (~v180(constB193)))),
% 28.82/19.37 inference(rewrite,[status(thm)],[])).
% 28.82/19.37 tff(34808,plain,
% 28.82/19.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB192, constB193)) | v178(constB192) | (~v180(constB193)))),
% 28.82/19.37 inference(quant_inst,[status(thm)],[])).
% 28.82/19.37 tff(34809,plain,
% 28.82/19.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB192, constB193)) | v178(constB192) | (~v180(constB193))),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[34808, 34807])).
% 28.82/19.37 tff(34810,plain,
% 28.82/19.37 (v178(constB192) | (~v180(constB193))),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34809, 27329, 26495])).
% 28.82/19.37 tff(34811,plain,
% 28.82/19.37 (~v180(constB193)),
% 28.82/19.37 inference(unit_resolution,[status(thm)],[34810, 34806])).
% 28.82/19.37 tff(34812,assumption,(constB193 = sK_VarCurr), introduced(assumption)).
% 28.82/19.37 tff(34813,plain,
% 28.82/19.37 (v180(constB193) <=> v180(sK_VarCurr)),
% 28.82/19.37 inference(monotonicity,[status(thm)],[34812])).
% 28.82/19.37 tff(34814,plain,
% 28.82/19.37 (v180(sK_VarCurr) <=> v180(constB193)),
% 28.82/19.37 inference(symmetry,[status(thm)],[34813])).
% 28.82/19.37 tff(34815,plain,
% 28.82/19.37 (v180(constB193)),
% 28.82/19.37 inference(modus_ponens,[status(thm)],[86, 34814])).
% 28.82/19.37 tff(34816,assumption,(~v180(constB193)), introduced(assumption)).
% 28.82/19.37 tff(34817,plain,
% 28.82/19.37 ($false),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34816, 34815])).
% 28.82/19.38 tff(34818,plain,((~(constB193 = sK_VarCurr)) | v180(constB193)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.38 tff(34819,plain,
% 28.82/19.38 (~(constB193 = sK_VarCurr)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34818, 34811])).
% 28.82/19.38 tff(34820,assumption,(constB28 = sK_VarCurr), introduced(assumption)).
% 28.82/19.38 tff(34821,plain,
% 28.82/19.38 (v1(constB28) <=> v1(sK_VarCurr)),
% 28.82/19.38 inference(monotonicity,[status(thm)],[34820])).
% 28.82/19.38 tff(34822,plain,
% 28.82/19.38 (v1(sK_VarCurr) <=> v1(constB28)),
% 28.82/19.38 inference(symmetry,[status(thm)],[34821])).
% 28.82/19.38 tff(34823,plain,
% 28.82/19.38 ((~v1(sK_VarCurr)) <=> (~v1(constB28))),
% 28.82/19.38 inference(monotonicity,[status(thm)],[34822])).
% 28.82/19.38 tff(34824,plain,
% 28.82/19.38 (~v1(constB28)),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[63, 34823])).
% 28.82/19.38 tff(34825,plain,
% 28.82/19.38 ($false),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[3659, 34824])).
% 28.82/19.38 tff(34826,plain,(~(constB28 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.38 tff(34827,assumption,(constB45 = sK_VarCurr), introduced(assumption)).
% 28.82/19.38 tff(34828,plain,
% 28.82/19.38 (v180(constB45) <=> v180(sK_VarCurr)),
% 28.82/19.38 inference(monotonicity,[status(thm)],[34827])).
% 28.82/19.38 tff(34829,plain,
% 28.82/19.38 (v180(sK_VarCurr) <=> v180(constB45)),
% 28.82/19.38 inference(symmetry,[status(thm)],[34828])).
% 28.82/19.38 tff(34830,plain,
% 28.82/19.38 (v180(constB45)),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[86, 34829])).
% 28.82/19.38 tff(34831,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB43, 2)) | v90(constB43, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB43, 2)) | v90(constB43, 2))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34832,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB43, 2)) | v90(constB43, 2))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34833,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB43, 2)) | v90(constB43, 2)),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34832, 34831])).
% 28.82/19.38 tff(34834,plain,
% 28.82/19.38 (~v88(constB43, 2)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34833, 27032, 6641])).
% 28.82/19.38 tff(34835,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB43, 1)) | v88(constB43, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB43, 1)) | v88(constB43, 1))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34836,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB43, 1)) | v88(constB43, 1))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34837,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB43, 1)) | v88(constB43, 1)),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34836, 34835])).
% 28.82/19.38 tff(34838,plain,
% 28.82/19.38 (v88(constB43, 1)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34837, 26945, 6672])).
% 28.82/19.38 tff(34839,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB43, 0)) | v88(constB43, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB43, 0)) | v88(constB43, 0))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34840,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB43, 0)) | v88(constB43, 0))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34841,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB43, 0)) | v88(constB43, 0)),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34840, 34839])).
% 28.82/19.38 tff(34842,plain,
% 28.82/19.38 (v88(constB43, 0)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34841, 27874, 6703])).
% 28.82/19.38 tff(34843,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB43, 0)) | v88(constB43, 2) | v141(constB43) | (~v88(constB43, 1)))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB43, 0)) | v88(constB43, 2) | v141(constB43) | (~v88(constB43, 1)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34844,plain,
% 28.82/19.38 ((v88(constB43, 2) | (~v88(constB43, 1)) | (~v88(constB43, 0)) | v141(constB43)) <=> ((~v88(constB43, 0)) | v88(constB43, 2) | v141(constB43) | (~v88(constB43, 1)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34845,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB43, 2) | (~v88(constB43, 1)) | (~v88(constB43, 0)) | v141(constB43))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB43, 0)) | v88(constB43, 2) | v141(constB43) | (~v88(constB43, 1))))),
% 28.82/19.38 inference(monotonicity,[status(thm)],[34844])).
% 28.82/19.38 tff(34846,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB43, 2) | (~v88(constB43, 1)) | (~v88(constB43, 0)) | v141(constB43))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB43, 0)) | v88(constB43, 2) | v141(constB43) | (~v88(constB43, 1)))),
% 28.82/19.38 inference(transitivity,[status(thm)],[34845, 34843])).
% 28.82/19.38 tff(34847,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB43, 2) | (~v88(constB43, 1)) | (~v88(constB43, 0)) | v141(constB43))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34848,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB43, 0)) | v88(constB43, 2) | v141(constB43) | (~v88(constB43, 1))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34847, 34846])).
% 28.82/19.38 tff(34849,plain,
% 28.82/19.38 (v141(constB43)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34848, 28757, 34842, 34838, 34834])).
% 28.82/19.38 tff(34850,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB43)) | v166(constB43))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | (~v141(constB43)) | v166(constB43))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34851,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB43)) | v166(constB43))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34852,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | (~v141(constB43)) | v166(constB43)),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34851, 34850])).
% 28.82/19.38 tff(34853,plain,
% 28.82/19.38 (v166(constB43)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34852, 28771, 34849])).
% 28.82/19.38 tff(34854,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB43)) | v165(constB43))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (~v166(constB43)) | v165(constB43))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34855,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB43)) | v165(constB43))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34856,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (~v166(constB43)) | v165(constB43)),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34855, 34854])).
% 28.82/19.38 tff(34857,plain,
% 28.82/19.38 (v165(constB43)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34856, 28782, 34853])).
% 28.82/19.38 tff(34858,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB43) | (~v165(constB43)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB43) | (~v165(constB43)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34859,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB43) | (~v165(constB43)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34860,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB43) | (~v165(constB43))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34859, 34858])).
% 28.82/19.38 tff(34861,plain,
% 28.82/19.38 (v164(constB43)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34860, 27089, 34857])).
% 28.82/19.38 tff(34862,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB43)) | (~v88(constB43, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB43)) | (~v88(constB43, 1)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34863,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB43)) | (~v88(constB43, 1)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34864,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB43)) | (~v88(constB43, 1))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34863, 34862])).
% 28.82/19.38 tff(34865,plain,
% 28.82/19.38 (~v140(constB43)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34864, 27128, 34838])).
% 28.82/19.38 tff(34866,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB43)) | (~v88(constB43, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB43)) | (~v88(constB43, 0)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34867,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB43)) | (~v88(constB43, 0)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34868,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB43)) | (~v88(constB43, 0))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34867, 34866])).
% 28.82/19.38 tff(34869,plain,
% 28.82/19.38 (~v139(constB43)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34868, 27885, 34842])).
% 28.82/19.38 tff(34870,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB43) | v140(constB43) | (~v168(constB43)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB43) | v140(constB43) | (~v168(constB43)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34871,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB43) | v140(constB43) | (~v168(constB43)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34872,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB43) | v140(constB43) | (~v168(constB43))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34871, 34870])).
% 28.82/19.38 tff(34873,plain,
% 28.82/19.38 (~v168(constB43)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34872, 27142, 34869, 34865])).
% 28.82/19.38 tff(34874,plain,
% 28.82/19.38 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB43)) | (~v164(constB43)) | v168(constB43))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB43)) | (~v164(constB43)) | v168(constB43))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34875,plain,
% 28.82/19.38 (((~v164(constB43)) | v168(constB43) | (~v161(constB43))) <=> ((~v161(constB43)) | (~v164(constB43)) | v168(constB43))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34876,plain,
% 28.82/19.38 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB43)) | v168(constB43) | (~v161(constB43)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB43)) | (~v164(constB43)) | v168(constB43)))),
% 28.82/19.38 inference(monotonicity,[status(thm)],[34875])).
% 28.82/19.38 tff(34877,plain,
% 28.82/19.38 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB43)) | v168(constB43) | (~v161(constB43)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB43)) | (~v164(constB43)) | v168(constB43))),
% 28.82/19.38 inference(transitivity,[status(thm)],[34876, 34874])).
% 28.82/19.38 tff(34878,plain,
% 28.82/19.38 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB43)) | v168(constB43) | (~v161(constB43)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34879,plain,
% 28.82/19.38 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB43)) | (~v164(constB43)) | v168(constB43)),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34878, 34877])).
% 28.82/19.38 tff(34880,plain,
% 28.82/19.38 ((~v161(constB43)) | (~v164(constB43))),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34879, 27156, 34873])).
% 28.82/19.38 tff(34881,plain,
% 28.82/19.38 (~v161(constB43)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34880, 34861])).
% 28.82/19.38 tff(34882,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB43) | (~v187(constB43)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB43) | (~v187(constB43)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34883,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB43) | (~v187(constB43)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34884,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB43) | (~v187(constB43))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34883, 34882])).
% 28.82/19.38 tff(34885,plain,
% 28.82/19.38 (~v187(constB43)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34884, 27174, 34881])).
% 28.82/19.38 tff(34886,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB43) | (~v185(constB43)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB43) | (~v185(constB43)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34887,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB43) | (~v185(constB43)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34888,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB43) | (~v185(constB43))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34887, 34886])).
% 28.82/19.38 tff(34889,plain,
% 28.82/19.38 (~v185(constB43)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34888, 27188, 34885])).
% 28.82/19.38 tff(34890,assumption,(v18(constB44)), introduced(assumption)).
% 28.82/19.38 tff(34891,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB44))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34892,plain,
% 28.82/19.38 ($false),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34891, 27200, 34890])).
% 28.82/19.38 tff(34893,plain,(~v18(constB44)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.38 tff(34894,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB44) | (~v1(constB44)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB44) | (~v1(constB44)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34895,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB44) | (~v1(constB44)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34896,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB44) | (~v1(constB44))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34895, 34894])).
% 28.82/19.38 tff(34897,plain,
% 28.82/19.38 (v22(constB44)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34896, 27216, 6791])).
% 28.82/19.38 tff(34898,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB44) | (~v22(constB44)) | (~v19(constB44)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB44) | (~v22(constB44)) | (~v19(constB44)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34899,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB44) | (~v22(constB44)) | (~v19(constB44)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34900,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB44) | (~v22(constB44)) | (~v19(constB44))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34899, 34898])).
% 28.82/19.38 tff(34901,plain,
% 28.82/19.38 (v18(constB44) | (~v19(constB44))),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34900, 27230, 34897])).
% 28.82/19.38 tff(34902,plain,
% 28.82/19.38 (~v19(constB44)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34901, 34893])).
% 28.82/19.38 tff(34903,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB44) | v19(constB44))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB44) | v19(constB44))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34904,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB44) | v19(constB44))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34905,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB44) | v19(constB44)),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34904, 34903])).
% 28.82/19.38 tff(34906,plain,
% 28.82/19.38 (v13(constB44)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34905, 27242, 34902])).
% 28.82/19.38 tff(34907,plain,
% 28.82/19.38 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB43) | (~v13(constB44)) | (~nextState(constB43, constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB43) | (~v13(constB44)) | (~nextState(constB43, constB44)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34908,plain,
% 28.82/19.38 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB43) | (~v13(constB44)) | (~nextState(constB43, constB44)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34909,plain,
% 28.82/19.38 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB43) | (~v13(constB44)) | (~nextState(constB43, constB44))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34908, 34907])).
% 28.82/19.38 tff(34910,plain,
% 28.82/19.38 (v9(constB43) | (~v13(constB44))),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34909, 27259, 6771])).
% 28.82/19.38 tff(34911,plain,
% 28.82/19.38 (v9(constB43)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34910, 34906])).
% 28.82/19.38 tff(34912,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB43) | (~v9(constB43)) | v184(constB43))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB43) | (~v9(constB43)) | v184(constB43))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34913,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB43) | (~v9(constB43)) | v184(constB43))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34914,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB43) | (~v9(constB43)) | v184(constB43)),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34913, 34912])).
% 28.82/19.38 tff(34915,plain,
% 28.82/19.38 ((~v9(constB43)) | v184(constB43)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34914, 27274, 6617])).
% 28.82/19.38 tff(34916,plain,
% 28.82/19.38 (v184(constB43)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34915, 34911])).
% 28.82/19.38 tff(34917,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB43) | (~v184(constB43)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB43) | (~v184(constB43)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34918,plain,
% 28.82/19.38 (((~v184(constB43)) | v183(constB43)) <=> (v183(constB43) | (~v184(constB43)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34919,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB43)) | v183(constB43))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB43) | (~v184(constB43))))),
% 28.82/19.38 inference(monotonicity,[status(thm)],[34918])).
% 28.82/19.38 tff(34920,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB43)) | v183(constB43))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB43) | (~v184(constB43)))),
% 28.82/19.38 inference(transitivity,[status(thm)],[34919, 34917])).
% 28.82/19.38 tff(34921,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB43)) | v183(constB43))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34922,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB43) | (~v184(constB43))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34921, 34920])).
% 28.82/19.38 tff(34923,plain,
% 28.82/19.38 (v183(constB43)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34922, 27286, 34916])).
% 28.82/19.38 tff(34924,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB43)) | (~v183(constB43)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB43)) | (~v183(constB43)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34925,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB43)) | (~v183(constB43)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34926,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB43)) | (~v183(constB43))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34925, 34924])).
% 28.82/19.38 tff(34927,plain,
% 28.82/19.38 (~v181(constB43)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34926, 27300, 34923])).
% 28.82/19.38 tff(34928,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB43) | v185(constB43) | (~v178(constB43)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB43) | v185(constB43) | (~v178(constB43)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34929,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB43) | v185(constB43) | (~v178(constB43)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34930,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB43) | v185(constB43) | (~v178(constB43))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34929, 34928])).
% 28.82/19.38 tff(34931,plain,
% 28.82/19.38 (v185(constB43) | (~v178(constB43))),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34930, 27314, 34927])).
% 28.82/19.38 tff(34932,plain,
% 28.82/19.38 (~v178(constB43)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34931, 34889])).
% 28.82/19.38 tff(34933,plain,
% 28.82/19.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB43, constB44)) | v178(constB43) | (~v180(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB43, constB44)) | v178(constB43) | (~v180(constB44)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34934,plain,
% 28.82/19.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB43, constB44)) | v178(constB43) | (~v180(constB44)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34935,plain,
% 28.82/19.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB43, constB44)) | v178(constB43) | (~v180(constB44))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34934, 34933])).
% 28.82/19.38 tff(34936,plain,
% 28.82/19.38 (v178(constB43) | (~v180(constB44))),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34935, 27329, 6771])).
% 28.82/19.38 tff(34937,plain,
% 28.82/19.38 (~v180(constB44)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34936, 34932])).
% 28.82/19.38 tff(34938,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB44) | (~v181(constB44)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB44) | (~v181(constB44)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34939,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB44) | (~v181(constB44)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34940,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB44) | (~v181(constB44))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34939, 34938])).
% 28.82/19.38 tff(34941,plain,
% 28.82/19.38 (~v181(constB44)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34940, 27344, 34937])).
% 28.82/19.38 tff(34942,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB44)) | (~v184(constB44)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB44)) | (~v184(constB44)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34943,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB44)) | (~v184(constB44)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34944,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB44)) | (~v184(constB44))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34943, 34942])).
% 28.82/19.38 tff(34945,plain,
% 28.82/19.38 (~v184(constB44)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34944, 59, 6791])).
% 28.82/19.38 tff(34946,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB44) | (~v187(constB44)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB44) | (~v187(constB44)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34947,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB44) | (~v187(constB44)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34948,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB44) | (~v187(constB44))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34947, 34946])).
% 28.82/19.38 tff(34949,plain,
% 28.82/19.38 (~v187(constB44)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34948, 27362, 34945])).
% 28.82/19.38 tff(34950,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB44) | (~v185(constB44)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB44) | (~v185(constB44)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34951,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB44) | (~v185(constB44)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34952,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB44) | (~v185(constB44))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34951, 34950])).
% 28.82/19.38 tff(34953,plain,
% 28.82/19.38 (~v185(constB44)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34952, 27188, 34949])).
% 28.82/19.38 tff(34954,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB44) | v185(constB44) | (~v178(constB44)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB44) | v185(constB44) | (~v178(constB44)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34955,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB44) | v185(constB44) | (~v178(constB44)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34956,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB44) | v185(constB44) | (~v178(constB44))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34955, 34954])).
% 28.82/19.38 tff(34957,plain,
% 28.82/19.38 (v181(constB44) | (~v178(constB44))),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34956, 27314, 34953])).
% 28.82/19.38 tff(34958,plain,
% 28.82/19.38 (~v178(constB44)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34957, 34941])).
% 28.82/19.38 tff(34959,plain,
% 28.82/19.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB44, constB45)) | v178(constB44) | (~v180(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB44, constB45)) | v178(constB44) | (~v180(constB45)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34960,plain,
% 28.82/19.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB44, constB45)) | v178(constB44) | (~v180(constB45)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34961,plain,
% 28.82/19.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB44, constB45)) | v178(constB44) | (~v180(constB45))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34960, 34959])).
% 28.82/19.38 tff(34962,plain,
% 28.82/19.38 (v178(constB44) | (~v180(constB45))),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34961, 27329, 6837])).
% 28.82/19.38 tff(34963,plain,
% 28.82/19.38 (~v180(constB45)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34962, 34958])).
% 28.82/19.38 tff(34964,plain,
% 28.82/19.38 ($false),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34963, 34830])).
% 28.82/19.38 tff(34965,plain,(~(constB45 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.38 tff(34966,assumption,(constB175 = sK_VarCurr), introduced(assumption)).
% 28.82/19.38 tff(34967,plain,
% 28.82/19.38 (v180(constB175) <=> v180(sK_VarCurr)),
% 28.82/19.38 inference(monotonicity,[status(thm)],[34966])).
% 28.82/19.38 tff(34968,plain,
% 28.82/19.38 (v180(sK_VarCurr) <=> v180(constB175)),
% 28.82/19.38 inference(symmetry,[status(thm)],[34967])).
% 28.82/19.38 tff(34969,plain,
% 28.82/19.38 (v180(constB175)),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[86, 34968])).
% 28.82/19.38 tff(34970,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB173, 2)) | v90(constB173, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB173, 2)) | v90(constB173, 2))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34971,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB173, 2)) | v90(constB173, 2))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34972,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB173, 2)) | v90(constB173, 2)),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34971, 34970])).
% 28.82/19.38 tff(34973,plain,
% 28.82/19.38 (~v88(constB173, 2)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34972, 27032, 24155])).
% 28.82/19.38 tff(34974,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB173, 0)) | v90(constB173, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB173, 0)) | v90(constB173, 0))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34975,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB173, 0)) | v90(constB173, 0))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34976,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB173, 0)) | v90(constB173, 0)),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34975, 34974])).
% 28.82/19.38 tff(34977,plain,
% 28.82/19.38 (~v88(constB173, 0)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34976, 26990, 24220])).
% 28.82/19.38 tff(34978,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB173, 1)) | v88(constB173, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB173, 1)) | v88(constB173, 1))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34979,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB173, 1)) | v88(constB173, 1))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34980,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB173, 1)) | v88(constB173, 1)),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34979, 34978])).
% 28.82/19.38 tff(34981,plain,
% 28.82/19.38 (v88(constB173, 1)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34980, 26945, 24186])).
% 28.82/19.38 tff(34982,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB173, 2) | (~v88(constB173, 1)) | v88(constB173, 0) | v143(constB173))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB173, 2) | (~v88(constB173, 1)) | v88(constB173, 0) | v143(constB173))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34983,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB173, 2) | (~v88(constB173, 1)) | v88(constB173, 0) | v143(constB173))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34984,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB173, 2) | (~v88(constB173, 1)) | v88(constB173, 0) | v143(constB173)),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34983, 34982])).
% 28.82/19.38 tff(34985,plain,
% 28.82/19.38 (v143(constB173)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34984, 27047, 34981, 34977, 34973])).
% 28.82/19.38 tff(34986,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB173) | (~v143(constB173)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB173) | (~v143(constB173)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34987,plain,
% 28.82/19.38 (((~v143(constB173)) | v142(constB173)) <=> (v142(constB173) | (~v143(constB173)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34988,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB173)) | v142(constB173))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB173) | (~v143(constB173))))),
% 28.82/19.38 inference(monotonicity,[status(thm)],[34987])).
% 28.82/19.38 tff(34989,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB173)) | v142(constB173))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB173) | (~v143(constB173)))),
% 28.82/19.38 inference(transitivity,[status(thm)],[34988, 34986])).
% 28.82/19.38 tff(34990,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB173)) | v142(constB173))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34991,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB173) | (~v143(constB173))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34990, 34989])).
% 28.82/19.38 tff(34992,plain,
% 28.82/19.38 (v142(constB173)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34991, 27064, 34985])).
% 28.82/19.38 tff(34993,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB173)) | v165(constB173))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB173)) | v165(constB173))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34994,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB173)) | v165(constB173))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34995,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB173)) | v165(constB173)),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34994, 34993])).
% 28.82/19.38 tff(34996,plain,
% 28.82/19.38 (v165(constB173)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34995, 27075, 34992])).
% 28.82/19.38 tff(34997,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB173) | (~v165(constB173)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB173) | (~v165(constB173)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(34998,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB173) | (~v165(constB173)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(34999,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB173) | (~v165(constB173))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[34998, 34997])).
% 28.82/19.38 tff(35000,plain,
% 28.82/19.38 (v164(constB173)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[34999, 27089, 34996])).
% 28.82/19.38 tff(35001,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB173)) | (~v88(constB173, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB173)) | (~v88(constB173, 1)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(35002,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB173)) | (~v88(constB173, 1)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(35003,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB173)) | (~v88(constB173, 1))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[35002, 35001])).
% 28.82/19.38 tff(35004,plain,
% 28.82/19.38 (~v139(constB173)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[35003, 27117, 34981])).
% 28.82/19.38 tff(35005,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB173)) | (~v88(constB173, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB173)) | (~v88(constB173, 1)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(35006,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB173)) | (~v88(constB173, 1)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(35007,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB173)) | (~v88(constB173, 1))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[35006, 35005])).
% 28.82/19.38 tff(35008,plain,
% 28.82/19.38 (~v140(constB173)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[35007, 27128, 34981])).
% 28.82/19.38 tff(35009,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB173) | v140(constB173) | (~v168(constB173)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB173) | v140(constB173) | (~v168(constB173)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(35010,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB173) | v140(constB173) | (~v168(constB173)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(35011,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB173) | v140(constB173) | (~v168(constB173))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[35010, 35009])).
% 28.82/19.38 tff(35012,plain,
% 28.82/19.38 (~v168(constB173)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[35011, 27142, 35008, 35004])).
% 28.82/19.38 tff(35013,plain,
% 28.82/19.38 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB173)) | (~v164(constB173)) | v168(constB173))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB173)) | (~v164(constB173)) | v168(constB173))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(35014,plain,
% 28.82/19.38 (((~v164(constB173)) | v168(constB173) | (~v161(constB173))) <=> ((~v161(constB173)) | (~v164(constB173)) | v168(constB173))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(35015,plain,
% 28.82/19.38 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB173)) | v168(constB173) | (~v161(constB173)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB173)) | (~v164(constB173)) | v168(constB173)))),
% 28.82/19.38 inference(monotonicity,[status(thm)],[35014])).
% 28.82/19.38 tff(35016,plain,
% 28.82/19.38 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB173)) | v168(constB173) | (~v161(constB173)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB173)) | (~v164(constB173)) | v168(constB173))),
% 28.82/19.38 inference(transitivity,[status(thm)],[35015, 35013])).
% 28.82/19.38 tff(35017,plain,
% 28.82/19.38 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB173)) | v168(constB173) | (~v161(constB173)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(35018,plain,
% 28.82/19.38 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB173)) | (~v164(constB173)) | v168(constB173)),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[35017, 35016])).
% 28.82/19.38 tff(35019,plain,
% 28.82/19.38 ((~v161(constB173)) | (~v164(constB173))),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[35018, 27156, 35012])).
% 28.82/19.38 tff(35020,plain,
% 28.82/19.38 (~v161(constB173)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[35019, 35000])).
% 28.82/19.38 tff(35021,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB173) | (~v187(constB173)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB173) | (~v187(constB173)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(35022,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB173) | (~v187(constB173)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(35023,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB173) | (~v187(constB173))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[35022, 35021])).
% 28.82/19.38 tff(35024,plain,
% 28.82/19.38 (~v187(constB173)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[35023, 27174, 35020])).
% 28.82/19.38 tff(35025,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB173) | (~v185(constB173)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB173) | (~v185(constB173)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(35026,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB173) | (~v185(constB173)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(35027,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB173) | (~v185(constB173))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[35026, 35025])).
% 28.82/19.38 tff(35028,plain,
% 28.82/19.38 (~v185(constB173)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[35027, 27188, 35024])).
% 28.82/19.38 tff(35029,assumption,(v18(constB174)), introduced(assumption)).
% 28.82/19.38 tff(35030,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB174))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(35031,plain,
% 28.82/19.38 ($false),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[35030, 27200, 35029])).
% 28.82/19.38 tff(35032,plain,(~v18(constB174)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.38 tff(35033,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB174) | (~v1(constB174)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB174) | (~v1(constB174)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(35034,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB174) | (~v1(constB174)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(35035,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB174) | (~v1(constB174))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[35034, 35033])).
% 28.82/19.38 tff(35036,plain,
% 28.82/19.38 (v22(constB174)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[35035, 27216, 24295])).
% 28.82/19.38 tff(35037,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB174) | (~v22(constB174)) | (~v19(constB174)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB174) | (~v22(constB174)) | (~v19(constB174)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(35038,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB174) | (~v22(constB174)) | (~v19(constB174)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(35039,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB174) | (~v22(constB174)) | (~v19(constB174))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[35038, 35037])).
% 28.82/19.38 tff(35040,plain,
% 28.82/19.38 (v18(constB174) | (~v19(constB174))),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[35039, 27230, 35036])).
% 28.82/19.38 tff(35041,plain,
% 28.82/19.38 (~v19(constB174)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[35040, 35032])).
% 28.82/19.38 tff(35042,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB174) | v19(constB174))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB174) | v19(constB174))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(35043,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB174) | v19(constB174))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(35044,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB174) | v19(constB174)),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[35043, 35042])).
% 28.82/19.38 tff(35045,plain,
% 28.82/19.38 (v13(constB174)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[35044, 27242, 35041])).
% 28.82/19.38 tff(35046,plain,
% 28.82/19.38 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB173) | (~v13(constB174)) | (~nextState(constB173, constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB173) | (~v13(constB174)) | (~nextState(constB173, constB174)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(35047,plain,
% 28.82/19.38 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB173) | (~v13(constB174)) | (~nextState(constB173, constB174)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(35048,plain,
% 28.82/19.38 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB173) | (~v13(constB174)) | (~nextState(constB173, constB174))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[35047, 35046])).
% 28.82/19.38 tff(35049,plain,
% 28.82/19.38 (v9(constB173) | (~v13(constB174))),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[35048, 27259, 24275])).
% 28.82/19.38 tff(35050,plain,
% 28.82/19.38 (v9(constB173)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[35049, 35045])).
% 28.82/19.38 tff(35051,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB173) | (~v9(constB173)) | v184(constB173))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB173) | (~v9(constB173)) | v184(constB173))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(35052,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB173) | (~v9(constB173)) | v184(constB173))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(35053,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB173) | (~v9(constB173)) | v184(constB173)),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[35052, 35051])).
% 28.82/19.38 tff(35054,plain,
% 28.82/19.38 ((~v9(constB173)) | v184(constB173)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[35053, 27274, 24131])).
% 28.82/19.38 tff(35055,plain,
% 28.82/19.38 (v184(constB173)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[35054, 35050])).
% 28.82/19.38 tff(35056,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB173)) | v183(constB173))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB173)) | v183(constB173))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(35057,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB173)) | v183(constB173))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(35058,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB173)) | v183(constB173)),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[35057, 35056])).
% 28.82/19.38 tff(35059,plain,
% 28.82/19.38 (v183(constB173)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[35058, 27286, 35055])).
% 28.82/19.38 tff(35060,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB173)) | (~v183(constB173)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB173)) | (~v183(constB173)))),
% 28.82/19.38 inference(rewrite,[status(thm)],[])).
% 28.82/19.38 tff(35061,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB173)) | (~v183(constB173)))),
% 28.82/19.38 inference(quant_inst,[status(thm)],[])).
% 28.82/19.38 tff(35062,plain,
% 28.82/19.38 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB173)) | (~v183(constB173))),
% 28.82/19.38 inference(modus_ponens,[status(thm)],[35061, 35060])).
% 28.82/19.38 tff(35063,plain,
% 28.82/19.38 (~v181(constB173)),
% 28.82/19.38 inference(unit_resolution,[status(thm)],[35062, 27300, 35059])).
% 28.82/19.38 tff(35064,plain,
% 28.82/19.38 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB173) | v185(constB173) | (~v178(constB173)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB173) | v185(constB173) | (~v178(constB173)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35065,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB173) | v185(constB173) | (~v178(constB173)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35066,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB173) | v185(constB173) | (~v178(constB173))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35065, 35064])).
% 28.82/19.39 tff(35067,plain,
% 28.82/19.39 (v185(constB173) | (~v178(constB173))),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35066, 27314, 35063])).
% 28.82/19.39 tff(35068,plain,
% 28.82/19.39 (~v178(constB173)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35067, 35028])).
% 28.82/19.39 tff(35069,plain,
% 28.82/19.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB173, constB174)) | v178(constB173) | (~v180(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB173, constB174)) | v178(constB173) | (~v180(constB174)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35070,plain,
% 28.82/19.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB173, constB174)) | v178(constB173) | (~v180(constB174)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35071,plain,
% 28.82/19.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB173, constB174)) | v178(constB173) | (~v180(constB174))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35070, 35069])).
% 28.82/19.39 tff(35072,plain,
% 28.82/19.39 (v178(constB173) | (~v180(constB174))),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35071, 27329, 24275])).
% 28.82/19.39 tff(35073,plain,
% 28.82/19.39 (~v180(constB174)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35072, 35068])).
% 28.82/19.39 tff(35074,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB174) | (~v181(constB174)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB174) | (~v181(constB174)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35075,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB174) | (~v181(constB174)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35076,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB174) | (~v181(constB174))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35075, 35074])).
% 28.82/19.39 tff(35077,plain,
% 28.82/19.39 (~v181(constB174)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35076, 27344, 35073])).
% 28.82/19.39 tff(35078,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB174)) | (~v184(constB174)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB174)) | (~v184(constB174)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35079,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB174)) | (~v184(constB174)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35080,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB174)) | (~v184(constB174))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35079, 35078])).
% 28.82/19.39 tff(35081,plain,
% 28.82/19.39 (~v184(constB174)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35080, 59, 24295])).
% 28.82/19.39 tff(35082,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB174) | (~v187(constB174)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB174) | (~v187(constB174)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35083,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB174) | (~v187(constB174)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35084,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB174) | (~v187(constB174))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35083, 35082])).
% 28.82/19.39 tff(35085,plain,
% 28.82/19.39 (~v187(constB174)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35084, 27362, 35081])).
% 28.82/19.39 tff(35086,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB174) | (~v185(constB174)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB174) | (~v185(constB174)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35087,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB174) | (~v185(constB174)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35088,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB174) | (~v185(constB174))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35087, 35086])).
% 28.82/19.39 tff(35089,plain,
% 28.82/19.39 (~v185(constB174)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35088, 27188, 35085])).
% 28.82/19.39 tff(35090,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB174) | v185(constB174) | (~v178(constB174)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB174) | v185(constB174) | (~v178(constB174)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35091,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB174) | v185(constB174) | (~v178(constB174)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35092,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB174) | v185(constB174) | (~v178(constB174))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35091, 35090])).
% 28.82/19.39 tff(35093,plain,
% 28.82/19.39 (v181(constB174) | (~v178(constB174))),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35092, 27314, 35089])).
% 28.82/19.39 tff(35094,plain,
% 28.82/19.39 (~v178(constB174)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35093, 35077])).
% 28.82/19.39 tff(35095,plain,
% 28.82/19.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB174, constB175)) | v178(constB174) | (~v180(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB174, constB175)) | v178(constB174) | (~v180(constB175)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35096,plain,
% 28.82/19.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB174, constB175)) | v178(constB174) | (~v180(constB175)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35097,plain,
% 28.82/19.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB174, constB175)) | v178(constB174) | (~v180(constB175))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35096, 35095])).
% 28.82/19.39 tff(35098,plain,
% 28.82/19.39 (v178(constB174) | (~v180(constB175))),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35097, 27329, 24337])).
% 28.82/19.39 tff(35099,plain,
% 28.82/19.39 (~v180(constB175)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35098, 35094])).
% 28.82/19.39 tff(35100,plain,
% 28.82/19.39 ($false),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35099, 34969])).
% 28.82/19.39 tff(35101,plain,(~(constB175 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.39 tff(35102,assumption,(constB165 = sK_VarCurr), introduced(assumption)).
% 28.82/19.39 tff(35103,plain,
% 28.82/19.39 (v180(constB165) <=> v180(sK_VarCurr)),
% 28.82/19.39 inference(monotonicity,[status(thm)],[35102])).
% 28.82/19.39 tff(35104,plain,
% 28.82/19.39 (v180(sK_VarCurr) <=> v180(constB165)),
% 28.82/19.39 inference(symmetry,[status(thm)],[35103])).
% 28.82/19.39 tff(35105,plain,
% 28.82/19.39 (v180(constB165)),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[86, 35104])).
% 28.82/19.39 tff(35106,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB163, 2)) | v90(constB163, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB163, 2)) | v90(constB163, 2))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35107,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB163, 2)) | v90(constB163, 2))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35108,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB163, 2)) | v90(constB163, 2)),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35107, 35106])).
% 28.82/19.39 tff(35109,plain,
% 28.82/19.39 (~v88(constB163, 2)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35108, 27032, 23173])).
% 28.82/19.39 tff(35110,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB163, 1)) | v88(constB163, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB163, 1)) | v88(constB163, 1))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35111,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB163, 1)) | v88(constB163, 1))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35112,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB163, 1)) | v88(constB163, 1)),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35111, 35110])).
% 28.82/19.39 tff(35113,plain,
% 28.82/19.39 (v88(constB163, 1)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35112, 26945, 23204])).
% 28.82/19.39 tff(35114,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB163, 0)) | v88(constB163, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB163, 0)) | v88(constB163, 0))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35115,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB163, 0)) | v88(constB163, 0))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35116,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB163, 0)) | v88(constB163, 0)),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35115, 35114])).
% 28.82/19.39 tff(35117,plain,
% 28.82/19.39 (v88(constB163, 0)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35116, 27874, 23235])).
% 28.82/19.39 tff(35118,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB163, 2) | (~v88(constB163, 1)) | (~v88(constB163, 0)) | v141(constB163))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB163, 2) | (~v88(constB163, 1)) | (~v88(constB163, 0)) | v141(constB163))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35119,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB163, 2) | (~v88(constB163, 1)) | (~v88(constB163, 0)) | v141(constB163))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35120,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB163, 2) | (~v88(constB163, 1)) | (~v88(constB163, 0)) | v141(constB163)),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35119, 35118])).
% 28.82/19.39 tff(35121,plain,
% 28.82/19.39 (v141(constB163)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35120, 28757, 35117, 35113, 35109])).
% 28.82/19.39 tff(35122,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB163)) | v166(constB163))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | (~v141(constB163)) | v166(constB163))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35123,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB163)) | v166(constB163))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35124,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | (~v141(constB163)) | v166(constB163)),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35123, 35122])).
% 28.82/19.39 tff(35125,plain,
% 28.82/19.39 (v166(constB163)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35124, 28771, 35121])).
% 28.82/19.39 tff(35126,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB163) | (~v166(constB163)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB163) | (~v166(constB163)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35127,plain,
% 28.82/19.39 (((~v166(constB163)) | v165(constB163)) <=> (v165(constB163) | (~v166(constB163)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35128,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB163)) | v165(constB163))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB163) | (~v166(constB163))))),
% 28.82/19.39 inference(monotonicity,[status(thm)],[35127])).
% 28.82/19.39 tff(35129,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB163)) | v165(constB163))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB163) | (~v166(constB163)))),
% 28.82/19.39 inference(transitivity,[status(thm)],[35128, 35126])).
% 28.82/19.39 tff(35130,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB163)) | v165(constB163))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35131,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB163) | (~v166(constB163))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35130, 35129])).
% 28.82/19.39 tff(35132,plain,
% 28.82/19.39 (v165(constB163)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35131, 28782, 35125])).
% 28.82/19.39 tff(35133,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB163) | (~v165(constB163)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB163) | (~v165(constB163)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35134,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB163) | (~v165(constB163)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35135,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB163) | (~v165(constB163))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35134, 35133])).
% 28.82/19.39 tff(35136,plain,
% 28.82/19.39 (v164(constB163)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35135, 27089, 35132])).
% 28.82/19.39 tff(35137,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB163)) | (~v88(constB163, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB163)) | (~v88(constB163, 1)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35138,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB163)) | (~v88(constB163, 1)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35139,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB163)) | (~v88(constB163, 1))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35138, 35137])).
% 28.82/19.39 tff(35140,plain,
% 28.82/19.39 (~v140(constB163)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35139, 27128, 35113])).
% 28.82/19.39 tff(35141,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB163)) | (~v88(constB163, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB163)) | (~v88(constB163, 0)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35142,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB163)) | (~v88(constB163, 0)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35143,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB163)) | (~v88(constB163, 0))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35142, 35141])).
% 28.82/19.39 tff(35144,plain,
% 28.82/19.39 (~v139(constB163)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35143, 27885, 35117])).
% 28.82/19.39 tff(35145,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB163) | v140(constB163) | (~v168(constB163)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB163) | v140(constB163) | (~v168(constB163)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35146,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB163) | v140(constB163) | (~v168(constB163)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35147,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB163) | v140(constB163) | (~v168(constB163))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35146, 35145])).
% 28.82/19.39 tff(35148,plain,
% 28.82/19.39 (~v168(constB163)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35147, 27142, 35144, 35140])).
% 28.82/19.39 tff(35149,plain,
% 28.82/19.39 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB163)) | (~v164(constB163)) | v168(constB163))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB163)) | (~v164(constB163)) | v168(constB163))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35150,plain,
% 28.82/19.39 (((~v164(constB163)) | v168(constB163) | (~v161(constB163))) <=> ((~v161(constB163)) | (~v164(constB163)) | v168(constB163))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35151,plain,
% 28.82/19.39 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB163)) | v168(constB163) | (~v161(constB163)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB163)) | (~v164(constB163)) | v168(constB163)))),
% 28.82/19.39 inference(monotonicity,[status(thm)],[35150])).
% 28.82/19.39 tff(35152,plain,
% 28.82/19.39 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB163)) | v168(constB163) | (~v161(constB163)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB163)) | (~v164(constB163)) | v168(constB163))),
% 28.82/19.39 inference(transitivity,[status(thm)],[35151, 35149])).
% 28.82/19.39 tff(35153,plain,
% 28.82/19.39 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB163)) | v168(constB163) | (~v161(constB163)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35154,plain,
% 28.82/19.39 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB163)) | (~v164(constB163)) | v168(constB163)),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35153, 35152])).
% 28.82/19.39 tff(35155,plain,
% 28.82/19.39 ((~v161(constB163)) | (~v164(constB163))),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35154, 27156, 35148])).
% 28.82/19.39 tff(35156,plain,
% 28.82/19.39 (~v161(constB163)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35155, 35136])).
% 28.82/19.39 tff(35157,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB163) | (~v187(constB163)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB163) | (~v187(constB163)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35158,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB163) | (~v187(constB163)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35159,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB163) | (~v187(constB163))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35158, 35157])).
% 28.82/19.39 tff(35160,plain,
% 28.82/19.39 (~v187(constB163)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35159, 27174, 35156])).
% 28.82/19.39 tff(35161,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB163) | (~v185(constB163)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB163) | (~v185(constB163)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35162,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB163) | (~v185(constB163)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35163,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB163) | (~v185(constB163))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35162, 35161])).
% 28.82/19.39 tff(35164,plain,
% 28.82/19.39 (~v185(constB163)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35163, 27188, 35160])).
% 28.82/19.39 tff(35165,assumption,(v18(constB164)), introduced(assumption)).
% 28.82/19.39 tff(35166,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB164))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35167,plain,
% 28.82/19.39 ($false),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35166, 27200, 35165])).
% 28.82/19.39 tff(35168,plain,(~v18(constB164)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.39 tff(35169,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB164) | (~v1(constB164)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB164) | (~v1(constB164)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35170,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB164) | (~v1(constB164)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35171,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB164) | (~v1(constB164))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35170, 35169])).
% 28.82/19.39 tff(35172,plain,
% 28.82/19.39 (v22(constB164)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35171, 27216, 23306])).
% 28.82/19.39 tff(35173,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB164) | (~v22(constB164)) | (~v19(constB164)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB164) | (~v22(constB164)) | (~v19(constB164)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35174,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB164) | (~v22(constB164)) | (~v19(constB164)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35175,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB164) | (~v22(constB164)) | (~v19(constB164))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35174, 35173])).
% 28.82/19.39 tff(35176,plain,
% 28.82/19.39 (v18(constB164) | (~v19(constB164))),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35175, 27230, 35172])).
% 28.82/19.39 tff(35177,plain,
% 28.82/19.39 (~v19(constB164)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35176, 35168])).
% 28.82/19.39 tff(35178,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB164) | v19(constB164))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB164) | v19(constB164))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35179,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB164) | v19(constB164))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35180,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB164) | v19(constB164)),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35179, 35178])).
% 28.82/19.39 tff(35181,plain,
% 28.82/19.39 (v13(constB164)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35180, 27242, 35177])).
% 28.82/19.39 tff(35182,plain,
% 28.82/19.39 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB163) | (~v13(constB164)) | (~nextState(constB163, constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB163) | (~v13(constB164)) | (~nextState(constB163, constB164)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35183,plain,
% 28.82/19.39 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB163) | (~v13(constB164)) | (~nextState(constB163, constB164)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35184,plain,
% 28.82/19.39 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB163) | (~v13(constB164)) | (~nextState(constB163, constB164))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35183, 35182])).
% 28.82/19.39 tff(35185,plain,
% 28.82/19.39 (v9(constB163) | (~v13(constB164))),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35184, 27259, 23286])).
% 28.82/19.39 tff(35186,plain,
% 28.82/19.39 (v9(constB163)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35185, 35181])).
% 28.82/19.39 tff(35187,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB163) | (~v9(constB163)) | v184(constB163))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB163) | (~v9(constB163)) | v184(constB163))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35188,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB163) | (~v9(constB163)) | v184(constB163))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35189,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB163) | (~v9(constB163)) | v184(constB163)),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35188, 35187])).
% 28.82/19.39 tff(35190,plain,
% 28.82/19.39 ((~v9(constB163)) | v184(constB163)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35189, 27274, 23149])).
% 28.82/19.39 tff(35191,plain,
% 28.82/19.39 (v184(constB163)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35190, 35186])).
% 28.82/19.39 tff(35192,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB163)) | v183(constB163))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB163)) | v183(constB163))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35193,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB163)) | v183(constB163))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35194,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB163)) | v183(constB163)),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35193, 35192])).
% 28.82/19.39 tff(35195,plain,
% 28.82/19.39 (v183(constB163)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35194, 27286, 35191])).
% 28.82/19.39 tff(35196,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB163)) | (~v183(constB163)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB163)) | (~v183(constB163)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35197,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB163)) | (~v183(constB163)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35198,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB163)) | (~v183(constB163))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35197, 35196])).
% 28.82/19.39 tff(35199,plain,
% 28.82/19.39 (~v181(constB163)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35198, 27300, 35195])).
% 28.82/19.39 tff(35200,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB163) | v185(constB163) | (~v178(constB163)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB163) | v185(constB163) | (~v178(constB163)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35201,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB163) | v185(constB163) | (~v178(constB163)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35202,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB163) | v185(constB163) | (~v178(constB163))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35201, 35200])).
% 28.82/19.39 tff(35203,plain,
% 28.82/19.39 (v185(constB163) | (~v178(constB163))),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35202, 27314, 35199])).
% 28.82/19.39 tff(35204,plain,
% 28.82/19.39 (~v178(constB163)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35203, 35164])).
% 28.82/19.39 tff(35205,plain,
% 28.82/19.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB163, constB164)) | v178(constB163) | (~v180(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB163, constB164)) | v178(constB163) | (~v180(constB164)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35206,plain,
% 28.82/19.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB163, constB164)) | v178(constB163) | (~v180(constB164)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35207,plain,
% 28.82/19.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB163, constB164)) | v178(constB163) | (~v180(constB164))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35206, 35205])).
% 28.82/19.39 tff(35208,plain,
% 28.82/19.39 (v178(constB163) | (~v180(constB164))),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35207, 27329, 23286])).
% 28.82/19.39 tff(35209,plain,
% 28.82/19.39 (~v180(constB164)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35208, 35204])).
% 28.82/19.39 tff(35210,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB164) | (~v181(constB164)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB164) | (~v181(constB164)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35211,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB164) | (~v181(constB164)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35212,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB164) | (~v181(constB164))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35211, 35210])).
% 28.82/19.39 tff(35213,plain,
% 28.82/19.39 (~v181(constB164)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35212, 27344, 35209])).
% 28.82/19.39 tff(35214,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB164)) | (~v184(constB164)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB164)) | (~v184(constB164)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35215,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB164)) | (~v184(constB164)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35216,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB164)) | (~v184(constB164))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35215, 35214])).
% 28.82/19.39 tff(35217,plain,
% 28.82/19.39 (~v184(constB164)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35216, 59, 23306])).
% 28.82/19.39 tff(35218,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB164) | (~v187(constB164)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB164) | (~v187(constB164)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35219,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB164) | (~v187(constB164)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35220,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB164) | (~v187(constB164))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35219, 35218])).
% 28.82/19.39 tff(35221,plain,
% 28.82/19.39 (~v187(constB164)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35220, 27362, 35217])).
% 28.82/19.39 tff(35222,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB164) | (~v185(constB164)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB164) | (~v185(constB164)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35223,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB164) | (~v185(constB164)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35224,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB164) | (~v185(constB164))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35223, 35222])).
% 28.82/19.39 tff(35225,plain,
% 28.82/19.39 (~v185(constB164)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35224, 27188, 35221])).
% 28.82/19.39 tff(35226,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB164) | v185(constB164) | (~v178(constB164)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB164) | v185(constB164) | (~v178(constB164)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35227,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB164) | v185(constB164) | (~v178(constB164)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35228,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB164) | v185(constB164) | (~v178(constB164))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35227, 35226])).
% 28.82/19.39 tff(35229,plain,
% 28.82/19.39 (v181(constB164) | (~v178(constB164))),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35228, 27314, 35225])).
% 28.82/19.39 tff(35230,plain,
% 28.82/19.39 (~v178(constB164)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35229, 35213])).
% 28.82/19.39 tff(35231,plain,
% 28.82/19.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB164, constB165)) | v178(constB164) | (~v180(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB164, constB165)) | v178(constB164) | (~v180(constB165)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35232,plain,
% 28.82/19.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB164, constB165)) | v178(constB164) | (~v180(constB165)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35233,plain,
% 28.82/19.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB164, constB165)) | v178(constB164) | (~v180(constB165))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35232, 35231])).
% 28.82/19.39 tff(35234,plain,
% 28.82/19.39 (v178(constB164) | (~v180(constB165))),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35233, 27329, 23348])).
% 28.82/19.39 tff(35235,plain,
% 28.82/19.39 (~v180(constB165)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35234, 35230])).
% 28.82/19.39 tff(35236,plain,
% 28.82/19.39 ($false),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35235, 35105])).
% 28.82/19.39 tff(35237,plain,(~(constB165 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.39 tff(35238,assumption,(constB89 = sK_VarCurr), introduced(assumption)).
% 28.82/19.39 tff(35239,plain,
% 28.82/19.39 (v86(constB89) <=> v86(sK_VarCurr)),
% 28.82/19.39 inference(monotonicity,[status(thm)],[35238])).
% 28.82/19.39 tff(35240,plain,
% 28.82/19.39 (v86(sK_VarCurr) <=> v86(constB89)),
% 28.82/19.39 inference(symmetry,[status(thm)],[35239])).
% 28.82/19.39 tff(35241,plain,
% 28.82/19.39 ((~v86(sK_VarCurr)) <=> (~v86(constB89))),
% 28.82/19.39 inference(monotonicity,[status(thm)],[35240])).
% 28.82/19.39 tff(35242,plain,
% 28.82/19.39 (~v86(constB89)),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[29494, 35241])).
% 28.82/19.39 tff(35243,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB89, 2)) | v90(constB89, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB89, 2)) | v90(constB89, 2))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35244,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB89, 2)) | v90(constB89, 2))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35245,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB89, 2)) | v90(constB89, 2)),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35244, 35243])).
% 28.82/19.39 tff(35246,plain,
% 28.82/19.39 (~v88(constB89, 2)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35245, 27032, 11440])).
% 28.82/19.39 tff(35247,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB89, 0)) | v90(constB89, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB89, 0)) | v90(constB89, 0))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35248,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB89, 0)) | v90(constB89, 0))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35249,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB89, 0)) | v90(constB89, 0)),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35248, 35247])).
% 28.82/19.39 tff(35250,plain,
% 28.82/19.39 (~v88(constB89, 0)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35249, 26990, 11505])).
% 28.82/19.39 tff(35251,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB89, 1)) | v88(constB89, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB89, 1)) | v88(constB89, 1))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35252,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB89, 1)) | v88(constB89, 1))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35253,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB89, 1)) | v88(constB89, 1)),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35252, 35251])).
% 28.82/19.39 tff(35254,plain,
% 28.82/19.39 (v88(constB89, 1)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35253, 26945, 11471])).
% 28.82/19.39 tff(35255,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB89, 2) | v88(constB89, 0) | (~v88(constB89, 1)) | v143(constB89))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB89, 2) | v88(constB89, 0) | (~v88(constB89, 1)) | v143(constB89))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35256,plain,
% 28.82/19.39 ((v88(constB89, 2) | (~v88(constB89, 1)) | v88(constB89, 0) | v143(constB89)) <=> (v88(constB89, 2) | v88(constB89, 0) | (~v88(constB89, 1)) | v143(constB89))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35257,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB89, 2) | (~v88(constB89, 1)) | v88(constB89, 0) | v143(constB89))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB89, 2) | v88(constB89, 0) | (~v88(constB89, 1)) | v143(constB89)))),
% 28.82/19.39 inference(monotonicity,[status(thm)],[35256])).
% 28.82/19.39 tff(35258,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB89, 2) | (~v88(constB89, 1)) | v88(constB89, 0) | v143(constB89))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB89, 2) | v88(constB89, 0) | (~v88(constB89, 1)) | v143(constB89))),
% 28.82/19.39 inference(transitivity,[status(thm)],[35257, 35255])).
% 28.82/19.39 tff(35259,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB89, 2) | (~v88(constB89, 1)) | v88(constB89, 0) | v143(constB89))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35260,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB89, 2) | v88(constB89, 0) | (~v88(constB89, 1)) | v143(constB89)),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35259, 35258])).
% 28.82/19.39 tff(35261,plain,
% 28.82/19.39 (v143(constB89)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35260, 27047, 35254, 35250, 35246])).
% 28.82/19.39 tff(35262,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB89) | (~v143(constB89)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB89) | (~v143(constB89)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35263,plain,
% 28.82/19.39 (((~v143(constB89)) | v142(constB89)) <=> (v142(constB89) | (~v143(constB89)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35264,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB89)) | v142(constB89))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB89) | (~v143(constB89))))),
% 28.82/19.39 inference(monotonicity,[status(thm)],[35263])).
% 28.82/19.39 tff(35265,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB89)) | v142(constB89))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB89) | (~v143(constB89)))),
% 28.82/19.39 inference(transitivity,[status(thm)],[35264, 35262])).
% 28.82/19.39 tff(35266,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB89)) | v142(constB89))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35267,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB89) | (~v143(constB89))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35266, 35265])).
% 28.82/19.39 tff(35268,plain,
% 28.82/19.39 (v142(constB89)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35267, 27064, 35261])).
% 28.82/19.39 tff(35269,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB89)) | v148(constB89))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB89)) | v148(constB89))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35270,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB89)) | v148(constB89))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35271,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB89)) | v148(constB89)),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35270, 35269])).
% 28.82/19.39 tff(35272,plain,
% 28.82/19.39 (v148(constB89)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35271, 29528, 35268])).
% 28.82/19.39 tff(35273,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB89)) | v165(constB89))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB89)) | v165(constB89))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35274,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB89)) | v165(constB89))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35275,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB89)) | v165(constB89)),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35274, 35273])).
% 28.82/19.39 tff(35276,plain,
% 28.82/19.39 (v165(constB89)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35275, 27075, 35268])).
% 28.82/19.39 tff(35277,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB89) | (~v165(constB89)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB89) | (~v165(constB89)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35278,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB89) | (~v165(constB89)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35279,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB89) | (~v165(constB89))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35278, 35277])).
% 28.82/19.39 tff(35280,plain,
% 28.82/19.39 (v164(constB89)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35279, 27089, 35276])).
% 28.82/19.39 tff(35281,plain,
% 28.82/19.39 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | (v86(constB89) | (~v164(constB89)) | (~v148(constB89)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB89) | (~v164(constB89)) | (~v148(constB89)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35282,plain,
% 28.82/19.39 (((~v148(constB89)) | v86(constB89) | (~v164(constB89))) <=> (v86(constB89) | (~v164(constB89)) | (~v148(constB89)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35283,plain,
% 28.82/19.39 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB89)) | v86(constB89) | (~v164(constB89)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | (v86(constB89) | (~v164(constB89)) | (~v148(constB89))))),
% 28.82/19.39 inference(monotonicity,[status(thm)],[35282])).
% 28.82/19.39 tff(35284,plain,
% 28.82/19.39 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB89)) | v86(constB89) | (~v164(constB89)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB89) | (~v164(constB89)) | (~v148(constB89)))),
% 28.82/19.39 inference(transitivity,[status(thm)],[35283, 35281])).
% 28.82/19.39 tff(35285,plain,
% 28.82/19.39 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB89)) | v86(constB89) | (~v164(constB89)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35286,plain,
% 28.82/19.39 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB89) | (~v164(constB89)) | (~v148(constB89))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35285, 35284])).
% 28.82/19.39 tff(35287,plain,
% 28.82/19.39 (v86(constB89)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35286, 29550, 35280, 35272])).
% 28.82/19.39 tff(35288,plain,
% 28.82/19.39 ($false),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35287, 35242])).
% 28.82/19.39 tff(35289,plain,(~(constB89 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.39 tff(35290,assumption,(constB102 = sK_VarCurr), introduced(assumption)).
% 28.82/19.39 tff(35291,plain,
% 28.82/19.39 (v1(constB102) <=> v1(sK_VarCurr)),
% 28.82/19.39 inference(monotonicity,[status(thm)],[35290])).
% 28.82/19.39 tff(35292,plain,
% 28.82/19.39 (v1(sK_VarCurr) <=> v1(constB102)),
% 28.82/19.39 inference(symmetry,[status(thm)],[35291])).
% 28.82/19.39 tff(35293,plain,
% 28.82/19.39 ((~v1(sK_VarCurr)) <=> (~v1(constB102))),
% 28.82/19.39 inference(monotonicity,[status(thm)],[35292])).
% 28.82/19.39 tff(35294,plain,
% 28.82/19.39 (~v1(constB102)),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[63, 35293])).
% 28.82/19.39 tff(35295,plain,
% 28.82/19.39 ($false),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[13165, 35294])).
% 28.82/19.39 tff(35296,plain,(~(constB102 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.39 tff(35297,assumption,(constB174 = sK_VarCurr), introduced(assumption)).
% 28.82/19.39 tff(35298,plain,
% 28.82/19.39 (v1(constB174) <=> v1(sK_VarCurr)),
% 28.82/19.39 inference(monotonicity,[status(thm)],[35297])).
% 28.82/19.39 tff(35299,plain,
% 28.82/19.39 (v1(sK_VarCurr) <=> v1(constB174)),
% 28.82/19.39 inference(symmetry,[status(thm)],[35298])).
% 28.82/19.39 tff(35300,plain,
% 28.82/19.39 ((~v1(sK_VarCurr)) <=> (~v1(constB174))),
% 28.82/19.39 inference(monotonicity,[status(thm)],[35299])).
% 28.82/19.39 tff(35301,plain,
% 28.82/19.39 (~v1(constB174)),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[63, 35300])).
% 28.82/19.39 tff(35302,plain,
% 28.82/19.39 ($false),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[24295, 35301])).
% 28.82/19.39 tff(35303,plain,(~(constB174 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.39 tff(35304,assumption,(constB62 = sK_VarCurr), introduced(assumption)).
% 28.82/19.39 tff(35305,plain,
% 28.82/19.39 (v1(constB62) <=> v1(sK_VarCurr)),
% 28.82/19.39 inference(monotonicity,[status(thm)],[35304])).
% 28.82/19.39 tff(35306,plain,
% 28.82/19.39 (v1(sK_VarCurr) <=> v1(constB62)),
% 28.82/19.39 inference(symmetry,[status(thm)],[35305])).
% 28.82/19.39 tff(35307,plain,
% 28.82/19.39 ((~v1(sK_VarCurr)) <=> (~v1(constB62))),
% 28.82/19.39 inference(monotonicity,[status(thm)],[35306])).
% 28.82/19.39 tff(35308,plain,
% 28.82/19.39 (~v1(constB62)),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[63, 35307])).
% 28.82/19.39 tff(35309,plain,
% 28.82/19.39 ($false),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[8602, 35308])).
% 28.82/19.39 tff(35310,plain,(~(constB62 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.39 tff(35311,assumption,(constB29 = sK_VarCurr), introduced(assumption)).
% 28.82/19.39 tff(35312,plain,
% 28.82/19.39 (v86(constB29) <=> v86(sK_VarCurr)),
% 28.82/19.39 inference(monotonicity,[status(thm)],[35311])).
% 28.82/19.39 tff(35313,plain,
% 28.82/19.39 (v86(sK_VarCurr) <=> v86(constB29)),
% 28.82/19.39 inference(symmetry,[status(thm)],[35312])).
% 28.82/19.39 tff(35314,plain,
% 28.82/19.39 ((~v86(sK_VarCurr)) <=> (~v86(constB29))),
% 28.82/19.39 inference(monotonicity,[status(thm)],[35313])).
% 28.82/19.39 tff(35315,plain,
% 28.82/19.39 (~v86(constB29)),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[29494, 35314])).
% 28.82/19.39 tff(35316,plain,
% 28.82/19.39 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB29)) | v148(constB29))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB29)) | v148(constB29))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35317,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB29)) | v148(constB29))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35318,plain,
% 28.82/19.39 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB29)) | v148(constB29)),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35317, 35316])).
% 28.82/19.39 tff(35319,plain,
% 28.82/19.39 (v148(constB29)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35318, 29528, 28214])).
% 28.82/19.39 tff(35320,plain,
% 28.82/19.39 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | (v86(constB29) | (~v164(constB29)) | (~v148(constB29)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB29) | (~v164(constB29)) | (~v148(constB29)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35321,plain,
% 28.82/19.39 (((~v148(constB29)) | v86(constB29) | (~v164(constB29))) <=> (v86(constB29) | (~v164(constB29)) | (~v148(constB29)))),
% 28.82/19.39 inference(rewrite,[status(thm)],[])).
% 28.82/19.39 tff(35322,plain,
% 28.82/19.39 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB29)) | v86(constB29) | (~v164(constB29)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | (v86(constB29) | (~v164(constB29)) | (~v148(constB29))))),
% 28.82/19.39 inference(monotonicity,[status(thm)],[35321])).
% 28.82/19.39 tff(35323,plain,
% 28.82/19.39 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB29)) | v86(constB29) | (~v164(constB29)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB29) | (~v164(constB29)) | (~v148(constB29)))),
% 28.82/19.39 inference(transitivity,[status(thm)],[35322, 35320])).
% 28.82/19.39 tff(35324,plain,
% 28.82/19.39 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB29)) | v86(constB29) | (~v164(constB29)))),
% 28.82/19.39 inference(quant_inst,[status(thm)],[])).
% 28.82/19.39 tff(35325,plain,
% 28.82/19.39 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB29) | (~v164(constB29)) | (~v148(constB29))),
% 28.82/19.39 inference(modus_ponens,[status(thm)],[35324, 35323])).
% 28.82/19.39 tff(35326,plain,
% 28.82/19.39 (v86(constB29)),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35325, 29550, 28222, 35319])).
% 28.82/19.39 tff(35327,plain,
% 28.82/19.39 ($false),
% 28.82/19.39 inference(unit_resolution,[status(thm)],[35326, 35315])).
% 28.82/19.39 tff(35328,plain,(~(constB29 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.40 tff(35329,assumption,(constB158 = sK_VarCurr), introduced(assumption)).
% 28.82/19.40 tff(35330,plain,
% 28.82/19.40 (v1(constB158) <=> v1(sK_VarCurr)),
% 28.82/19.40 inference(monotonicity,[status(thm)],[35329])).
% 28.82/19.40 tff(35331,plain,
% 28.82/19.40 (v1(sK_VarCurr) <=> v1(constB158)),
% 28.82/19.40 inference(symmetry,[status(thm)],[35330])).
% 28.82/19.40 tff(35332,plain,
% 28.82/19.40 ((~v1(sK_VarCurr)) <=> (~v1(constB158))),
% 28.82/19.40 inference(monotonicity,[status(thm)],[35331])).
% 28.82/19.40 tff(35333,plain,
% 28.82/19.40 (~v1(constB158)),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[63, 35332])).
% 28.82/19.40 tff(35334,plain,
% 28.82/19.40 ($false),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[22595, 35333])).
% 28.82/19.40 tff(35335,plain,(~(constB158 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.40 tff(35336,assumption,(constB130 = sK_VarCurr), introduced(assumption)).
% 28.82/19.40 tff(35337,plain,
% 28.82/19.40 (v1(constB130) <=> v1(sK_VarCurr)),
% 28.82/19.40 inference(monotonicity,[status(thm)],[35336])).
% 28.82/19.40 tff(35338,plain,
% 28.82/19.40 (v1(sK_VarCurr) <=> v1(constB130)),
% 28.82/19.40 inference(symmetry,[status(thm)],[35337])).
% 28.82/19.40 tff(35339,plain,
% 28.82/19.40 ((~v1(sK_VarCurr)) <=> (~v1(constB130))),
% 28.82/19.40 inference(monotonicity,[status(thm)],[35338])).
% 28.82/19.40 tff(35340,plain,
% 28.82/19.40 (~v1(constB130)),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[63, 35339])).
% 28.82/19.40 tff(35341,plain,
% 28.82/19.40 ($false),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[19396, 35340])).
% 28.82/19.40 tff(35342,plain,(~(constB130 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.40 tff(35343,assumption,(constB17 = sK_VarCurr), introduced(assumption)).
% 28.82/19.40 tff(35344,plain,
% 28.82/19.40 (v86(constB17) <=> v86(sK_VarCurr)),
% 28.82/19.40 inference(monotonicity,[status(thm)],[35343])).
% 28.82/19.40 tff(35345,plain,
% 28.82/19.40 (v86(sK_VarCurr) <=> v86(constB17)),
% 28.82/19.40 inference(symmetry,[status(thm)],[35344])).
% 28.82/19.40 tff(35346,plain,
% 28.82/19.40 ((~v86(sK_VarCurr)) <=> (~v86(constB17))),
% 28.82/19.40 inference(monotonicity,[status(thm)],[35345])).
% 28.82/19.40 tff(35347,plain,
% 28.82/19.40 (~v86(constB17)),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[29494, 35346])).
% 28.82/19.40 tff(35348,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB17)) | v148(constB17))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB17)) | v148(constB17))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35349,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB17)) | v148(constB17))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35350,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB17)) | v148(constB17)),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35349, 35348])).
% 28.82/19.40 tff(35351,plain,
% 28.82/19.40 (v148(constB17)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35350, 29528, 27589])).
% 28.82/19.40 tff(35352,plain,
% 28.82/19.40 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | (v86(constB17) | (~v148(constB17)) | (~v164(constB17)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB17) | (~v148(constB17)) | (~v164(constB17)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35353,plain,
% 28.82/19.40 (((~v148(constB17)) | v86(constB17) | (~v164(constB17))) <=> (v86(constB17) | (~v148(constB17)) | (~v164(constB17)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35354,plain,
% 28.82/19.40 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB17)) | v86(constB17) | (~v164(constB17)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | (v86(constB17) | (~v148(constB17)) | (~v164(constB17))))),
% 28.82/19.40 inference(monotonicity,[status(thm)],[35353])).
% 28.82/19.40 tff(35355,plain,
% 28.82/19.40 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB17)) | v86(constB17) | (~v164(constB17)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB17) | (~v148(constB17)) | (~v164(constB17)))),
% 28.82/19.40 inference(transitivity,[status(thm)],[35354, 35352])).
% 28.82/19.40 tff(35356,plain,
% 28.82/19.40 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB17)) | v86(constB17) | (~v164(constB17)))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35357,plain,
% 28.82/19.40 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB17) | (~v148(constB17)) | (~v164(constB17))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35356, 35355])).
% 28.82/19.40 tff(35358,plain,
% 28.82/19.40 (v86(constB17)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35357, 29550, 27597, 35351])).
% 28.82/19.40 tff(35359,plain,
% 28.82/19.40 ($false),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35358, 35347])).
% 28.82/19.40 tff(35360,plain,(~(constB17 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.40 tff(35361,assumption,(constB163 = sK_VarCurr), introduced(assumption)).
% 28.82/19.40 tff(35362,plain,
% 28.82/19.40 (v180(constB163) <=> v180(sK_VarCurr)),
% 28.82/19.40 inference(monotonicity,[status(thm)],[35361])).
% 28.82/19.40 tff(35363,plain,
% 28.82/19.40 (v180(sK_VarCurr) <=> v180(constB163)),
% 28.82/19.40 inference(symmetry,[status(thm)],[35362])).
% 28.82/19.40 tff(35364,plain,
% 28.82/19.40 (v180(constB163)),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[86, 35363])).
% 28.82/19.40 tff(35365,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB161, 2)) | v90(constB161, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB161, 2)) | v90(constB161, 2))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35366,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB161, 2)) | v90(constB161, 2))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35367,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB161, 2)) | v90(constB161, 2)),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35366, 35365])).
% 28.82/19.40 tff(35368,plain,
% 28.82/19.40 (~v88(constB161, 2)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35367, 27032, 22984])).
% 28.82/19.40 tff(35369,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB161, 0)) | v90(constB161, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB161, 0)) | v90(constB161, 0))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35370,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB161, 0)) | v90(constB161, 0))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35371,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB161, 0)) | v90(constB161, 0)),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35370, 35369])).
% 28.82/19.40 tff(35372,plain,
% 28.82/19.40 (~v88(constB161, 0)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35371, 26990, 23035])).
% 28.82/19.40 tff(35373,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB161, 1)) | v88(constB161, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB161, 1)) | v88(constB161, 1))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35374,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB161, 1)) | v88(constB161, 1))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35375,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB161, 1)) | v88(constB161, 1)),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35374, 35373])).
% 28.82/19.40 tff(35376,plain,
% 28.82/19.40 (v88(constB161, 1)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35375, 26945, 23014])).
% 28.82/19.40 tff(35377,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v143(constB161) | v88(constB161, 2) | v88(constB161, 0) | (~v88(constB161, 1)))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v143(constB161) | v88(constB161, 2) | v88(constB161, 0) | (~v88(constB161, 1)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35378,plain,
% 28.82/19.40 ((v88(constB161, 2) | (~v88(constB161, 1)) | v88(constB161, 0) | v143(constB161)) <=> (v143(constB161) | v88(constB161, 2) | v88(constB161, 0) | (~v88(constB161, 1)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35379,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB161, 2) | (~v88(constB161, 1)) | v88(constB161, 0) | v143(constB161))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v143(constB161) | v88(constB161, 2) | v88(constB161, 0) | (~v88(constB161, 1))))),
% 28.82/19.40 inference(monotonicity,[status(thm)],[35378])).
% 28.82/19.40 tff(35380,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB161, 2) | (~v88(constB161, 1)) | v88(constB161, 0) | v143(constB161))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v143(constB161) | v88(constB161, 2) | v88(constB161, 0) | (~v88(constB161, 1)))),
% 28.82/19.40 inference(transitivity,[status(thm)],[35379, 35377])).
% 28.82/19.40 tff(35381,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB161, 2) | (~v88(constB161, 1)) | v88(constB161, 0) | v143(constB161))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35382,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v143(constB161) | v88(constB161, 2) | v88(constB161, 0) | (~v88(constB161, 1))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35381, 35380])).
% 28.82/19.40 tff(35383,plain,
% 28.82/19.40 (v143(constB161)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35382, 27047, 35376, 35372, 35368])).
% 28.82/19.40 tff(35384,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB161) | (~v143(constB161)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB161) | (~v143(constB161)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35385,plain,
% 28.82/19.40 (((~v143(constB161)) | v142(constB161)) <=> (v142(constB161) | (~v143(constB161)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35386,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB161)) | v142(constB161))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB161) | (~v143(constB161))))),
% 28.82/19.40 inference(monotonicity,[status(thm)],[35385])).
% 28.82/19.40 tff(35387,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB161)) | v142(constB161))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB161) | (~v143(constB161)))),
% 28.82/19.40 inference(transitivity,[status(thm)],[35386, 35384])).
% 28.82/19.40 tff(35388,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB161)) | v142(constB161))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35389,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB161) | (~v143(constB161))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35388, 35387])).
% 28.82/19.40 tff(35390,plain,
% 28.82/19.40 (v142(constB161)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35389, 27064, 35383])).
% 28.82/19.40 tff(35391,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (v165(constB161) | (~v142(constB161)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | v165(constB161) | (~v142(constB161)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35392,plain,
% 28.82/19.40 (((~v142(constB161)) | v165(constB161)) <=> (v165(constB161) | (~v142(constB161)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35393,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB161)) | v165(constB161))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (v165(constB161) | (~v142(constB161))))),
% 28.82/19.40 inference(monotonicity,[status(thm)],[35392])).
% 28.82/19.40 tff(35394,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB161)) | v165(constB161))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | v165(constB161) | (~v142(constB161)))),
% 28.82/19.40 inference(transitivity,[status(thm)],[35393, 35391])).
% 28.82/19.40 tff(35395,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB161)) | v165(constB161))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35396,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | v165(constB161) | (~v142(constB161))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35395, 35394])).
% 28.82/19.40 tff(35397,plain,
% 28.82/19.40 (v165(constB161)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35396, 27075, 35390])).
% 28.82/19.40 tff(35398,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB161) | (~v165(constB161)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB161) | (~v165(constB161)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35399,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB161) | (~v165(constB161)))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35400,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB161) | (~v165(constB161))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35399, 35398])).
% 28.82/19.40 tff(35401,plain,
% 28.82/19.40 (v164(constB161)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35400, 27089, 35397])).
% 28.82/19.40 tff(35402,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB161)) | (~v88(constB161, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB161)) | (~v88(constB161, 1)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35403,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB161)) | (~v88(constB161, 1)))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35404,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB161)) | (~v88(constB161, 1))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35403, 35402])).
% 28.82/19.40 tff(35405,plain,
% 28.82/19.40 (~v139(constB161)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35404, 27117, 35376])).
% 28.82/19.40 tff(35406,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB161)) | (~v88(constB161, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB161)) | (~v88(constB161, 1)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35407,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB161)) | (~v88(constB161, 1)))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35408,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB161)) | (~v88(constB161, 1))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35407, 35406])).
% 28.82/19.40 tff(35409,plain,
% 28.82/19.40 (~v140(constB161)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35408, 27128, 35376])).
% 28.82/19.40 tff(35410,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB161) | v140(constB161) | (~v168(constB161)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB161) | v140(constB161) | (~v168(constB161)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35411,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB161) | v140(constB161) | (~v168(constB161)))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35412,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB161) | v140(constB161) | (~v168(constB161))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35411, 35410])).
% 28.82/19.40 tff(35413,plain,
% 28.82/19.40 (~v168(constB161)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35412, 27142, 35409, 35405])).
% 28.82/19.40 tff(35414,plain,
% 28.82/19.40 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB161)) | (~v164(constB161)) | v168(constB161))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB161)) | (~v164(constB161)) | v168(constB161))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35415,plain,
% 28.82/19.40 (((~v164(constB161)) | v168(constB161) | (~v161(constB161))) <=> ((~v161(constB161)) | (~v164(constB161)) | v168(constB161))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35416,plain,
% 28.82/19.40 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB161)) | v168(constB161) | (~v161(constB161)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB161)) | (~v164(constB161)) | v168(constB161)))),
% 28.82/19.40 inference(monotonicity,[status(thm)],[35415])).
% 28.82/19.40 tff(35417,plain,
% 28.82/19.40 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB161)) | v168(constB161) | (~v161(constB161)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB161)) | (~v164(constB161)) | v168(constB161))),
% 28.82/19.40 inference(transitivity,[status(thm)],[35416, 35414])).
% 28.82/19.40 tff(35418,plain,
% 28.82/19.40 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB161)) | v168(constB161) | (~v161(constB161)))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35419,plain,
% 28.82/19.40 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB161)) | (~v164(constB161)) | v168(constB161)),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35418, 35417])).
% 28.82/19.40 tff(35420,plain,
% 28.82/19.40 ((~v161(constB161)) | (~v164(constB161))),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35419, 27156, 35413])).
% 28.82/19.40 tff(35421,plain,
% 28.82/19.40 (~v161(constB161)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35420, 35401])).
% 28.82/19.40 tff(35422,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB161) | (~v187(constB161)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB161) | (~v187(constB161)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35423,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB161) | (~v187(constB161)))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35424,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB161) | (~v187(constB161))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35423, 35422])).
% 28.82/19.40 tff(35425,plain,
% 28.82/19.40 (~v187(constB161)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35424, 27174, 35421])).
% 28.82/19.40 tff(35426,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB161) | (~v185(constB161)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB161) | (~v185(constB161)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35427,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB161) | (~v185(constB161)))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35428,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB161) | (~v185(constB161))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35427, 35426])).
% 28.82/19.40 tff(35429,plain,
% 28.82/19.40 (~v185(constB161)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35428, 27188, 35425])).
% 28.82/19.40 tff(35430,assumption,(v18(constB162)), introduced(assumption)).
% 28.82/19.40 tff(35431,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB162))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35432,plain,
% 28.82/19.40 ($false),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35431, 27200, 35430])).
% 28.82/19.40 tff(35433,plain,(~v18(constB162)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.40 tff(35434,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB162) | (~v1(constB162)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB162) | (~v1(constB162)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35435,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB162) | (~v1(constB162)))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35436,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB162) | (~v1(constB162))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35435, 35434])).
% 28.82/19.40 tff(35437,plain,
% 28.82/19.40 (v22(constB162)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35436, 27216, 23110])).
% 28.82/19.40 tff(35438,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB162) | (~v22(constB162)) | (~v19(constB162)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB162) | (~v22(constB162)) | (~v19(constB162)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35439,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB162) | (~v22(constB162)) | (~v19(constB162)))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35440,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB162) | (~v22(constB162)) | (~v19(constB162))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35439, 35438])).
% 28.82/19.40 tff(35441,plain,
% 28.82/19.40 (v18(constB162) | (~v19(constB162))),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35440, 27230, 35437])).
% 28.82/19.40 tff(35442,plain,
% 28.82/19.40 (~v19(constB162)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35441, 35433])).
% 28.82/19.40 tff(35443,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB162) | v19(constB162))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB162) | v19(constB162))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35444,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB162) | v19(constB162))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35445,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB162) | v19(constB162)),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35444, 35443])).
% 28.82/19.40 tff(35446,plain,
% 28.82/19.40 (v13(constB162)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35445, 27242, 35442])).
% 28.82/19.40 tff(35447,plain,
% 28.82/19.40 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB161) | (~v13(constB162)) | (~nextState(constB161, constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB161) | (~v13(constB162)) | (~nextState(constB161, constB162)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35448,plain,
% 28.82/19.40 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB161) | (~v13(constB162)) | (~nextState(constB161, constB162)))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35449,plain,
% 28.82/19.40 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB161) | (~v13(constB162)) | (~nextState(constB161, constB162))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35448, 35447])).
% 28.82/19.40 tff(35450,plain,
% 28.82/19.40 (v9(constB161) | (~v13(constB162))),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35449, 27259, 23090])).
% 28.82/19.40 tff(35451,plain,
% 28.82/19.40 (v9(constB161)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35450, 35446])).
% 28.82/19.40 tff(35452,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB161) | (~v9(constB161)) | v184(constB161))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB161) | (~v9(constB161)) | v184(constB161))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35453,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB161) | (~v9(constB161)) | v184(constB161))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35454,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB161) | (~v9(constB161)) | v184(constB161)),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35453, 35452])).
% 28.82/19.40 tff(35455,plain,
% 28.82/19.40 ((~v9(constB161)) | v184(constB161)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35454, 27274, 22960])).
% 28.82/19.40 tff(35456,plain,
% 28.82/19.40 (v184(constB161)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35455, 35451])).
% 28.82/19.40 tff(35457,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB161) | (~v184(constB161)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB161) | (~v184(constB161)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35458,plain,
% 28.82/19.40 (((~v184(constB161)) | v183(constB161)) <=> (v183(constB161) | (~v184(constB161)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35459,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB161)) | v183(constB161))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB161) | (~v184(constB161))))),
% 28.82/19.40 inference(monotonicity,[status(thm)],[35458])).
% 28.82/19.40 tff(35460,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB161)) | v183(constB161))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB161) | (~v184(constB161)))),
% 28.82/19.40 inference(transitivity,[status(thm)],[35459, 35457])).
% 28.82/19.40 tff(35461,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB161)) | v183(constB161))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35462,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB161) | (~v184(constB161))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35461, 35460])).
% 28.82/19.40 tff(35463,plain,
% 28.82/19.40 (v183(constB161)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35462, 27286, 35456])).
% 28.82/19.40 tff(35464,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB161)) | (~v183(constB161)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB161)) | (~v183(constB161)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35465,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB161)) | (~v183(constB161)))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35466,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB161)) | (~v183(constB161))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35465, 35464])).
% 28.82/19.40 tff(35467,plain,
% 28.82/19.40 (~v181(constB161)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35466, 27300, 35463])).
% 28.82/19.40 tff(35468,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB161) | v185(constB161) | (~v178(constB161)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB161) | v185(constB161) | (~v178(constB161)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35469,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB161) | v185(constB161) | (~v178(constB161)))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35470,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB161) | v185(constB161) | (~v178(constB161))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35469, 35468])).
% 28.82/19.40 tff(35471,plain,
% 28.82/19.40 (v185(constB161) | (~v178(constB161))),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35470, 27314, 35467])).
% 28.82/19.40 tff(35472,plain,
% 28.82/19.40 (~v178(constB161)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35471, 35429])).
% 28.82/19.40 tff(35473,plain,
% 28.82/19.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB161, constB162)) | v178(constB161) | (~v180(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB161, constB162)) | v178(constB161) | (~v180(constB162)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35474,plain,
% 28.82/19.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB161, constB162)) | v178(constB161) | (~v180(constB162)))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35475,plain,
% 28.82/19.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB161, constB162)) | v178(constB161) | (~v180(constB162))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35474, 35473])).
% 28.82/19.40 tff(35476,plain,
% 28.82/19.40 (v178(constB161) | (~v180(constB162))),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35475, 27329, 23090])).
% 28.82/19.40 tff(35477,plain,
% 28.82/19.40 (~v180(constB162)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35476, 35472])).
% 28.82/19.40 tff(35478,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB162) | (~v181(constB162)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB162) | (~v181(constB162)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35479,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB162) | (~v181(constB162)))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35480,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB162) | (~v181(constB162))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35479, 35478])).
% 28.82/19.40 tff(35481,plain,
% 28.82/19.40 (~v181(constB162)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35480, 27344, 35477])).
% 28.82/19.40 tff(35482,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB162)) | (~v184(constB162)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB162)) | (~v184(constB162)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35483,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB162)) | (~v184(constB162)))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35484,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB162)) | (~v184(constB162))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35483, 35482])).
% 28.82/19.40 tff(35485,plain,
% 28.82/19.40 (~v184(constB162)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35484, 59, 23110])).
% 28.82/19.40 tff(35486,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB162) | (~v187(constB162)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB162) | (~v187(constB162)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35487,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB162) | (~v187(constB162)))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35488,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB162) | (~v187(constB162))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35487, 35486])).
% 28.82/19.40 tff(35489,plain,
% 28.82/19.40 (~v187(constB162)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35488, 27362, 35485])).
% 28.82/19.40 tff(35490,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB162) | (~v185(constB162)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB162) | (~v185(constB162)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35491,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB162) | (~v185(constB162)))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35492,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB162) | (~v185(constB162))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35491, 35490])).
% 28.82/19.40 tff(35493,plain,
% 28.82/19.40 (~v185(constB162)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35492, 27188, 35489])).
% 28.82/19.40 tff(35494,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB162) | v185(constB162) | (~v178(constB162)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB162) | v185(constB162) | (~v178(constB162)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35495,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB162) | v185(constB162) | (~v178(constB162)))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35496,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB162) | v185(constB162) | (~v178(constB162))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35495, 35494])).
% 28.82/19.40 tff(35497,plain,
% 28.82/19.40 (v181(constB162) | (~v178(constB162))),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35496, 27314, 35493])).
% 28.82/19.40 tff(35498,plain,
% 28.82/19.40 (~v178(constB162)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35497, 35481])).
% 28.82/19.40 tff(35499,plain,
% 28.82/19.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB162, constB163)) | v178(constB162) | (~v180(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB162, constB163)) | v178(constB162) | (~v180(constB163)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35500,plain,
% 28.82/19.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB162, constB163)) | v178(constB162) | (~v180(constB163)))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35501,plain,
% 28.82/19.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB162, constB163)) | v178(constB162) | (~v180(constB163))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35500, 35499])).
% 28.82/19.40 tff(35502,plain,
% 28.82/19.40 (v178(constB162) | (~v180(constB163))),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35501, 27329, 23152])).
% 28.82/19.40 tff(35503,plain,
% 28.82/19.40 (~v180(constB163)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35502, 35498])).
% 28.82/19.40 tff(35504,plain,
% 28.82/19.40 ($false),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35503, 35364])).
% 28.82/19.40 tff(35505,plain,(~(constB163 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.40 tff(35506,assumption,(constB142 = sK_VarCurr), introduced(assumption)).
% 28.82/19.40 tff(35507,plain,
% 28.82/19.40 (v1(constB142) <=> v1(sK_VarCurr)),
% 28.82/19.40 inference(monotonicity,[status(thm)],[35506])).
% 28.82/19.40 tff(35508,plain,
% 28.82/19.40 (v1(sK_VarCurr) <=> v1(constB142)),
% 28.82/19.40 inference(symmetry,[status(thm)],[35507])).
% 28.82/19.40 tff(35509,plain,
% 28.82/19.40 ((~v1(sK_VarCurr)) <=> (~v1(constB142))),
% 28.82/19.40 inference(monotonicity,[status(thm)],[35508])).
% 28.82/19.40 tff(35510,plain,
% 28.82/19.40 (~v1(constB142)),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[63, 35509])).
% 28.82/19.40 tff(35511,plain,
% 28.82/19.40 ($false),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[20950, 35510])).
% 28.82/19.40 tff(35512,plain,(~(constB142 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.40 tff(35513,assumption,(constB93 = sK_VarCurr), introduced(assumption)).
% 28.82/19.40 tff(35514,plain,
% 28.82/19.40 (v180(constB93) <=> v180(sK_VarCurr)),
% 28.82/19.40 inference(monotonicity,[status(thm)],[35513])).
% 28.82/19.40 tff(35515,plain,
% 28.82/19.40 (v180(sK_VarCurr) <=> v180(constB93)),
% 28.82/19.40 inference(symmetry,[status(thm)],[35514])).
% 28.82/19.40 tff(35516,plain,
% 28.82/19.40 (v180(constB93)),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[86, 35515])).
% 28.82/19.40 tff(35517,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB91, 1)) | v88(constB91, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB91, 1)) | v88(constB91, 1))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35518,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB91, 1)) | v88(constB91, 1))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35519,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB91, 1)) | v88(constB91, 1)),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35518, 35517])).
% 28.82/19.40 tff(35520,plain,
% 28.82/19.40 (v88(constB91, 1)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35519, 26945, 12019])).
% 28.82/19.40 tff(35521,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB91, 2)) | v90(constB91, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB91, 2)) | v90(constB91, 2))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35522,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB91, 2)) | v90(constB91, 2))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35523,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB91, 2)) | v90(constB91, 2)),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35522, 35521])).
% 28.82/19.40 tff(35524,plain,
% 28.82/19.40 (~v88(constB91, 2)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35523, 27032, 12050])).
% 28.82/19.40 tff(35525,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB91, 0)) | v88(constB91, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB91, 0)) | v88(constB91, 0))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35526,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB91, 0)) | v88(constB91, 0))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35527,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB91, 0)) | v88(constB91, 0)),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35526, 35525])).
% 28.82/19.40 tff(35528,plain,
% 28.82/19.40 (v88(constB91, 0)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35527, 27874, 12087])).
% 28.82/19.40 tff(35529,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v141(constB91) | v88(constB91, 2) | (~v88(constB91, 0)) | (~v88(constB91, 1)))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v141(constB91) | v88(constB91, 2) | (~v88(constB91, 0)) | (~v88(constB91, 1)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35530,plain,
% 28.82/19.40 ((v88(constB91, 2) | (~v88(constB91, 1)) | (~v88(constB91, 0)) | v141(constB91)) <=> (v141(constB91) | v88(constB91, 2) | (~v88(constB91, 0)) | (~v88(constB91, 1)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35531,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB91, 2) | (~v88(constB91, 1)) | (~v88(constB91, 0)) | v141(constB91))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v141(constB91) | v88(constB91, 2) | (~v88(constB91, 0)) | (~v88(constB91, 1))))),
% 28.82/19.40 inference(monotonicity,[status(thm)],[35530])).
% 28.82/19.40 tff(35532,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB91, 2) | (~v88(constB91, 1)) | (~v88(constB91, 0)) | v141(constB91))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v141(constB91) | v88(constB91, 2) | (~v88(constB91, 0)) | (~v88(constB91, 1)))),
% 28.82/19.40 inference(transitivity,[status(thm)],[35531, 35529])).
% 28.82/19.40 tff(35533,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB91, 2) | (~v88(constB91, 1)) | (~v88(constB91, 0)) | v141(constB91))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35534,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v141(constB91) | v88(constB91, 2) | (~v88(constB91, 0)) | (~v88(constB91, 1))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35533, 35532])).
% 28.82/19.40 tff(35535,plain,
% 28.82/19.40 (v141(constB91) | v88(constB91, 2) | (~v88(constB91, 1))),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35534, 28757, 35528])).
% 28.82/19.40 tff(35536,plain,
% 28.82/19.40 (v141(constB91)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35535, 35524, 35520])).
% 28.82/19.40 tff(35537,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | (v166(constB91) | (~v141(constB91)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | v166(constB91) | (~v141(constB91)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35538,plain,
% 28.82/19.40 (((~v141(constB91)) | v166(constB91)) <=> (v166(constB91) | (~v141(constB91)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35539,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB91)) | v166(constB91))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | (v166(constB91) | (~v141(constB91))))),
% 28.82/19.40 inference(monotonicity,[status(thm)],[35538])).
% 28.82/19.40 tff(35540,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB91)) | v166(constB91))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | v166(constB91) | (~v141(constB91)))),
% 28.82/19.40 inference(transitivity,[status(thm)],[35539, 35537])).
% 28.82/19.40 tff(35541,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB91)) | v166(constB91))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35542,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | v166(constB91) | (~v141(constB91))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35541, 35540])).
% 28.82/19.40 tff(35543,plain,
% 28.82/19.40 (v166(constB91)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35542, 28771, 35536])).
% 28.82/19.40 tff(35544,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB91) | (~v166(constB91)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB91) | (~v166(constB91)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35545,plain,
% 28.82/19.40 (((~v166(constB91)) | v165(constB91)) <=> (v165(constB91) | (~v166(constB91)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35546,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB91)) | v165(constB91))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB91) | (~v166(constB91))))),
% 28.82/19.40 inference(monotonicity,[status(thm)],[35545])).
% 28.82/19.40 tff(35547,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB91)) | v165(constB91))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB91) | (~v166(constB91)))),
% 28.82/19.40 inference(transitivity,[status(thm)],[35546, 35544])).
% 28.82/19.40 tff(35548,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB91)) | v165(constB91))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35549,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB91) | (~v166(constB91))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35548, 35547])).
% 28.82/19.40 tff(35550,plain,
% 28.82/19.40 (v165(constB91)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35549, 28782, 35543])).
% 28.82/19.40 tff(35551,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB91) | (~v165(constB91)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB91) | (~v165(constB91)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35552,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB91) | (~v165(constB91)))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35553,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB91) | (~v165(constB91))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35552, 35551])).
% 28.82/19.40 tff(35554,plain,
% 28.82/19.40 (v164(constB91)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35553, 27089, 35550])).
% 28.82/19.40 tff(35555,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB91)) | (~v88(constB91, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB91)) | (~v88(constB91, 1)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35556,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB91)) | (~v88(constB91, 1)))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35557,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB91)) | (~v88(constB91, 1))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35556, 35555])).
% 28.82/19.40 tff(35558,plain,
% 28.82/19.40 (~v140(constB91)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35557, 27128, 35520])).
% 28.82/19.40 tff(35559,plain,
% 28.82/19.40 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB91)) | (~v88(constB91, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB91)) | (~v88(constB91, 0)))),
% 28.82/19.40 inference(rewrite,[status(thm)],[])).
% 28.82/19.40 tff(35560,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB91)) | (~v88(constB91, 0)))),
% 28.82/19.40 inference(quant_inst,[status(thm)],[])).
% 28.82/19.40 tff(35561,plain,
% 28.82/19.40 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB91)) | (~v88(constB91, 0))),
% 28.82/19.40 inference(modus_ponens,[status(thm)],[35560, 35559])).
% 28.82/19.40 tff(35562,plain,
% 28.82/19.40 (~v139(constB91)),
% 28.82/19.40 inference(unit_resolution,[status(thm)],[35561, 27885, 35528])).
% 28.82/19.40 tff(35563,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB91) | v140(constB91) | (~v168(constB91)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB91) | v140(constB91) | (~v168(constB91)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35564,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB91) | v140(constB91) | (~v168(constB91)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35565,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB91) | v140(constB91) | (~v168(constB91))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35564, 35563])).
% 28.82/19.41 tff(35566,plain,
% 28.82/19.41 (v140(constB91) | (~v168(constB91))),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35565, 27142, 35562])).
% 28.82/19.41 tff(35567,plain,
% 28.82/19.41 (~v168(constB91)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35566, 35558])).
% 28.82/19.41 tff(35568,plain,
% 28.82/19.41 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB91)) | (~v164(constB91)) | v168(constB91))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB91)) | (~v164(constB91)) | v168(constB91))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35569,plain,
% 28.82/19.41 (((~v164(constB91)) | v168(constB91) | (~v161(constB91))) <=> ((~v161(constB91)) | (~v164(constB91)) | v168(constB91))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35570,plain,
% 28.82/19.41 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB91)) | v168(constB91) | (~v161(constB91)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB91)) | (~v164(constB91)) | v168(constB91)))),
% 28.82/19.41 inference(monotonicity,[status(thm)],[35569])).
% 28.82/19.41 tff(35571,plain,
% 28.82/19.41 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB91)) | v168(constB91) | (~v161(constB91)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB91)) | (~v164(constB91)) | v168(constB91))),
% 28.82/19.41 inference(transitivity,[status(thm)],[35570, 35568])).
% 28.82/19.41 tff(35572,plain,
% 28.82/19.41 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB91)) | v168(constB91) | (~v161(constB91)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35573,plain,
% 28.82/19.41 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB91)) | (~v164(constB91)) | v168(constB91)),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35572, 35571])).
% 28.82/19.41 tff(35574,plain,
% 28.82/19.41 ((~v161(constB91)) | (~v164(constB91))),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35573, 27156, 35567])).
% 28.82/19.41 tff(35575,plain,
% 28.82/19.41 (~v161(constB91)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35574, 35554])).
% 28.82/19.41 tff(35576,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB91) | (~v187(constB91)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB91) | (~v187(constB91)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35577,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB91) | (~v187(constB91)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35578,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB91) | (~v187(constB91))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35577, 35576])).
% 28.82/19.41 tff(35579,plain,
% 28.82/19.41 (~v187(constB91)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35578, 27174, 35575])).
% 28.82/19.41 tff(35580,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB91) | (~v185(constB91)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB91) | (~v185(constB91)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35581,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB91) | (~v185(constB91)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35582,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB91) | (~v185(constB91))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35581, 35580])).
% 28.82/19.41 tff(35583,plain,
% 28.82/19.41 (~v185(constB91)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35582, 27188, 35579])).
% 28.82/19.41 tff(35584,assumption,(v18(constB92)), introduced(assumption)).
% 28.82/19.41 tff(35585,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB92))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35586,plain,
% 28.82/19.41 ($false),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35585, 27200, 35584])).
% 28.82/19.41 tff(35587,plain,(~v18(constB92)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.41 tff(35588,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB92) | (~v1(constB92)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB92) | (~v1(constB92)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35589,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB92) | (~v1(constB92)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35590,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB92) | (~v1(constB92))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35589, 35588])).
% 28.82/19.41 tff(35591,plain,
% 28.82/19.41 (v22(constB92)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35590, 27216, 12162])).
% 28.82/19.41 tff(35592,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB92) | (~v22(constB92)) | (~v19(constB92)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB92) | (~v22(constB92)) | (~v19(constB92)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35593,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB92) | (~v22(constB92)) | (~v19(constB92)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35594,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB92) | (~v22(constB92)) | (~v19(constB92))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35593, 35592])).
% 28.82/19.41 tff(35595,plain,
% 28.82/19.41 (v18(constB92) | (~v19(constB92))),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35594, 27230, 35591])).
% 28.82/19.41 tff(35596,plain,
% 28.82/19.41 (~v19(constB92)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35595, 35587])).
% 28.82/19.41 tff(35597,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB92) | v19(constB92))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB92) | v19(constB92))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35598,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB92) | v19(constB92))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35599,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB92) | v19(constB92)),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35598, 35597])).
% 28.82/19.41 tff(35600,plain,
% 28.82/19.41 (v13(constB92)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35599, 27242, 35596])).
% 28.82/19.41 tff(35601,plain,
% 28.82/19.41 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB91) | (~v13(constB92)) | (~nextState(constB91, constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB91) | (~v13(constB92)) | (~nextState(constB91, constB92)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35602,plain,
% 28.82/19.41 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB91) | (~v13(constB92)) | (~nextState(constB91, constB92)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35603,plain,
% 28.82/19.41 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB91) | (~v13(constB92)) | (~nextState(constB91, constB92))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35602, 35601])).
% 28.82/19.41 tff(35604,plain,
% 28.82/19.41 (v9(constB91) | (~v13(constB92))),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35603, 27259, 12142])).
% 28.82/19.41 tff(35605,plain,
% 28.82/19.41 (v9(constB91)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35604, 35600])).
% 28.82/19.41 tff(35606,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB91) | (~v9(constB91)) | v184(constB91))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB91) | (~v9(constB91)) | v184(constB91))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35607,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB91) | (~v9(constB91)) | v184(constB91))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35608,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB91) | (~v9(constB91)) | v184(constB91)),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35607, 35606])).
% 28.82/19.41 tff(35609,plain,
% 28.82/19.41 ((~v9(constB91)) | v184(constB91)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35608, 27274, 11995])).
% 28.82/19.41 tff(35610,plain,
% 28.82/19.41 (v184(constB91)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35609, 35605])).
% 28.82/19.41 tff(35611,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB91)) | v183(constB91))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB91)) | v183(constB91))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35612,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB91)) | v183(constB91))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35613,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB91)) | v183(constB91)),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35612, 35611])).
% 28.82/19.41 tff(35614,plain,
% 28.82/19.41 (v183(constB91)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35613, 27286, 35610])).
% 28.82/19.41 tff(35615,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB91)) | (~v183(constB91)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB91)) | (~v183(constB91)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35616,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB91)) | (~v183(constB91)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35617,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB91)) | (~v183(constB91))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35616, 35615])).
% 28.82/19.41 tff(35618,plain,
% 28.82/19.41 (~v181(constB91)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35617, 27300, 35614])).
% 28.82/19.41 tff(35619,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB91) | v185(constB91) | (~v178(constB91)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB91) | v185(constB91) | (~v178(constB91)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35620,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB91) | v185(constB91) | (~v178(constB91)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35621,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB91) | v185(constB91) | (~v178(constB91))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35620, 35619])).
% 28.82/19.41 tff(35622,plain,
% 28.82/19.41 (v185(constB91) | (~v178(constB91))),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35621, 27314, 35618])).
% 28.82/19.41 tff(35623,plain,
% 28.82/19.41 (~v178(constB91)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35622, 35583])).
% 28.82/19.41 tff(35624,plain,
% 28.82/19.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB91, constB92)) | v178(constB91) | (~v180(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB91, constB92)) | v178(constB91) | (~v180(constB92)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35625,plain,
% 28.82/19.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB91, constB92)) | v178(constB91) | (~v180(constB92)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35626,plain,
% 28.82/19.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB91, constB92)) | v178(constB91) | (~v180(constB92))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35625, 35624])).
% 28.82/19.41 tff(35627,plain,
% 28.82/19.41 (v178(constB91) | (~v180(constB92))),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35626, 27329, 12142])).
% 28.82/19.41 tff(35628,plain,
% 28.82/19.41 (~v180(constB92)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35627, 35623])).
% 28.82/19.41 tff(35629,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB92) | (~v181(constB92)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB92) | (~v181(constB92)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35630,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB92) | (~v181(constB92)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35631,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB92) | (~v181(constB92))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35630, 35629])).
% 28.82/19.41 tff(35632,plain,
% 28.82/19.41 (~v181(constB92)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35631, 27344, 35628])).
% 28.82/19.41 tff(35633,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB92)) | (~v184(constB92)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB92)) | (~v184(constB92)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35634,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB92)) | (~v184(constB92)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35635,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB92)) | (~v184(constB92))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35634, 35633])).
% 28.82/19.41 tff(35636,plain,
% 28.82/19.41 (~v184(constB92)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35635, 59, 12162])).
% 28.82/19.41 tff(35637,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB92) | (~v187(constB92)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB92) | (~v187(constB92)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35638,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB92) | (~v187(constB92)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35639,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB92) | (~v187(constB92))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35638, 35637])).
% 28.82/19.41 tff(35640,plain,
% 28.82/19.41 (~v187(constB92)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35639, 27362, 35636])).
% 28.82/19.41 tff(35641,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB92) | (~v185(constB92)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB92) | (~v185(constB92)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35642,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB92) | (~v185(constB92)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35643,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB92) | (~v185(constB92))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35642, 35641])).
% 28.82/19.41 tff(35644,plain,
% 28.82/19.41 (~v185(constB92)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35643, 27188, 35640])).
% 28.82/19.41 tff(35645,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB92) | v185(constB92) | (~v178(constB92)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB92) | v185(constB92) | (~v178(constB92)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35646,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB92) | v185(constB92) | (~v178(constB92)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35647,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB92) | v185(constB92) | (~v178(constB92))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35646, 35645])).
% 28.82/19.41 tff(35648,plain,
% 28.82/19.41 (v181(constB92) | (~v178(constB92))),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35647, 27314, 35644])).
% 28.82/19.41 tff(35649,plain,
% 28.82/19.41 (~v178(constB92)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35648, 35632])).
% 28.82/19.41 tff(35650,plain,
% 28.82/19.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB92, constB93)) | v178(constB92) | (~v180(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB92, constB93)) | v178(constB92) | (~v180(constB93)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35651,plain,
% 28.82/19.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB92, constB93)) | v178(constB92) | (~v180(constB93)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35652,plain,
% 28.82/19.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB92, constB93)) | v178(constB92) | (~v180(constB93))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35651, 35650])).
% 28.82/19.41 tff(35653,plain,
% 28.82/19.41 (v178(constB92) | (~v180(constB93))),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35652, 27329, 12204])).
% 28.82/19.41 tff(35654,plain,
% 28.82/19.41 (~v180(constB93)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35653, 35649])).
% 28.82/19.41 tff(35655,plain,
% 28.82/19.41 ($false),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35654, 35516])).
% 28.82/19.41 tff(35656,plain,(~(constB93 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.41 tff(35657,assumption,(constB11 = sK_VarCurr), introduced(assumption)).
% 28.82/19.41 tff(35658,plain,
% 28.82/19.41 (v180(constB11) <=> v180(sK_VarCurr)),
% 28.82/19.41 inference(monotonicity,[status(thm)],[35657])).
% 28.82/19.41 tff(35659,plain,
% 28.82/19.41 (v180(sK_VarCurr) <=> v180(constB11)),
% 28.82/19.41 inference(symmetry,[status(thm)],[35658])).
% 28.82/19.41 tff(35660,plain,
% 28.82/19.41 (v180(constB11)),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[86, 35659])).
% 28.82/19.41 tff(35661,plain,
% 28.82/19.41 ($false),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[29194, 35660])).
% 28.82/19.41 tff(35662,plain,(~(constB11 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.41 tff(35663,assumption,(constB167 = sK_VarCurr), introduced(assumption)).
% 28.82/19.41 tff(35664,plain,
% 28.82/19.41 (v180(constB167) <=> v180(sK_VarCurr)),
% 28.82/19.41 inference(monotonicity,[status(thm)],[35663])).
% 28.82/19.41 tff(35665,plain,
% 28.82/19.41 (v180(sK_VarCurr) <=> v180(constB167)),
% 28.82/19.41 inference(symmetry,[status(thm)],[35664])).
% 28.82/19.41 tff(35666,plain,
% 28.82/19.41 (v180(constB167)),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[86, 35665])).
% 28.82/19.41 tff(35667,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB165, 2)) | v88(constB165, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB165, 2)) | v88(constB165, 2))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35668,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB165, 2)) | v88(constB165, 2))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35669,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB165, 2)) | v88(constB165, 2)),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35668, 35667])).
% 28.82/19.41 tff(35670,plain,
% 28.82/19.41 (v88(constB165, 2)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35669, 27680, 23369])).
% 28.82/19.41 tff(35671,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB165)) | (~v88(constB165, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB165)) | (~v88(constB165, 2)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35672,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB165)) | (~v88(constB165, 2)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35673,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB165)) | (~v88(constB165, 2))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35672, 35671])).
% 28.82/19.41 tff(35674,plain,
% 28.82/19.41 (~v139(constB165)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35673, 27691, 35670])).
% 28.82/19.41 tff(35675,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB165)) | (~v88(constB165, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB165)) | (~v88(constB165, 2)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35676,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB165)) | (~v88(constB165, 2)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35677,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB165)) | (~v88(constB165, 2))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35676, 35675])).
% 28.82/19.41 tff(35678,plain,
% 28.82/19.41 (~v140(constB165)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35677, 27702, 35670])).
% 28.82/19.41 tff(35679,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB165) | v140(constB165) | (~v168(constB165)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB165) | v140(constB165) | (~v168(constB165)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35680,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB165) | v140(constB165) | (~v168(constB165)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35681,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB165) | v140(constB165) | (~v168(constB165))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35680, 35679])).
% 28.82/19.41 tff(35682,plain,
% 28.82/19.41 (~v168(constB165)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35681, 27142, 35678, 35674])).
% 28.82/19.41 tff(35683,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB165, 1)) | v90(constB165, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB165, 1)) | v90(constB165, 1))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35684,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB165, 1)) | v90(constB165, 1))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35685,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB165, 1)) | v90(constB165, 1)),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35684, 35683])).
% 28.82/19.41 tff(35686,plain,
% 28.82/19.41 (~v88(constB165, 1)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35685, 27717, 23403])).
% 28.82/19.41 tff(35687,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB165, 0)) | v90(constB165, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB165, 0)) | v90(constB165, 0))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35688,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB165, 0)) | v90(constB165, 0))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35689,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB165, 0)) | v90(constB165, 0)),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35688, 35687])).
% 28.82/19.41 tff(35690,plain,
% 28.82/19.41 (~v88(constB165, 0)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35689, 26990, 23437])).
% 28.82/19.41 tff(35691,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB165, 0) | v88(constB165, 1) | v146(constB165) | (~v88(constB165, 2)))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB165, 0) | v88(constB165, 1) | v146(constB165) | (~v88(constB165, 2)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35692,plain,
% 28.82/19.41 (((~v88(constB165, 2)) | v88(constB165, 1) | v88(constB165, 0) | v146(constB165)) <=> (v88(constB165, 0) | v88(constB165, 1) | v146(constB165) | (~v88(constB165, 2)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35693,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB165, 2)) | v88(constB165, 1) | v88(constB165, 0) | v146(constB165))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB165, 0) | v88(constB165, 1) | v146(constB165) | (~v88(constB165, 2))))),
% 28.82/19.41 inference(monotonicity,[status(thm)],[35692])).
% 28.82/19.41 tff(35694,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB165, 2)) | v88(constB165, 1) | v88(constB165, 0) | v146(constB165))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB165, 0) | v88(constB165, 1) | v146(constB165) | (~v88(constB165, 2)))),
% 28.82/19.41 inference(transitivity,[status(thm)],[35693, 35691])).
% 28.82/19.41 tff(35695,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB165, 2)) | v88(constB165, 1) | v88(constB165, 0) | v146(constB165))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35696,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB165, 0) | v88(constB165, 1) | v146(constB165) | (~v88(constB165, 2))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35695, 35694])).
% 28.82/19.41 tff(35697,plain,
% 28.82/19.41 (v146(constB165)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35696, 27735, 35670, 35690, 35686])).
% 28.82/19.41 tff(35698,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB165)) | v145(constB165))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB165)) | v145(constB165))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35699,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB165)) | v145(constB165))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35700,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB165)) | v145(constB165)),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35699, 35698])).
% 28.82/19.41 tff(35701,plain,
% 28.82/19.41 (v145(constB165)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35700, 27749, 35697])).
% 28.82/19.41 tff(35702,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB165) | (~v145(constB165)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB165) | (~v145(constB165)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35703,plain,
% 28.82/19.41 (((~v145(constB165)) | v164(constB165)) <=> (v164(constB165) | (~v145(constB165)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35704,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB165)) | v164(constB165))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB165) | (~v145(constB165))))),
% 28.82/19.41 inference(monotonicity,[status(thm)],[35703])).
% 28.82/19.41 tff(35705,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB165)) | v164(constB165))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB165) | (~v145(constB165)))),
% 28.82/19.41 inference(transitivity,[status(thm)],[35704, 35702])).
% 28.82/19.41 tff(35706,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB165)) | v164(constB165))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35707,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB165) | (~v145(constB165))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35706, 35705])).
% 28.82/19.41 tff(35708,plain,
% 28.82/19.41 (v164(constB165)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35707, 27760, 35701])).
% 28.82/19.41 tff(35709,plain,
% 28.82/19.41 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB165)) | v168(constB165) | (~v164(constB165)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB165)) | v168(constB165) | (~v164(constB165)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35710,plain,
% 28.82/19.41 (((~v164(constB165)) | v168(constB165) | (~v161(constB165))) <=> ((~v161(constB165)) | v168(constB165) | (~v164(constB165)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35711,plain,
% 28.82/19.41 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB165)) | v168(constB165) | (~v161(constB165)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB165)) | v168(constB165) | (~v164(constB165))))),
% 28.82/19.41 inference(monotonicity,[status(thm)],[35710])).
% 28.82/19.41 tff(35712,plain,
% 28.82/19.41 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB165)) | v168(constB165) | (~v161(constB165)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB165)) | v168(constB165) | (~v164(constB165)))),
% 28.82/19.41 inference(transitivity,[status(thm)],[35711, 35709])).
% 28.82/19.41 tff(35713,plain,
% 28.82/19.41 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB165)) | v168(constB165) | (~v161(constB165)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35714,plain,
% 28.82/19.41 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB165)) | v168(constB165) | (~v164(constB165))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35713, 35712])).
% 28.82/19.41 tff(35715,plain,
% 28.82/19.41 (~v161(constB165)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35714, 27156, 35708, 35682])).
% 28.82/19.41 tff(35716,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB165) | (~v187(constB165)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB165) | (~v187(constB165)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35717,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB165) | (~v187(constB165)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35718,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB165) | (~v187(constB165))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35717, 35716])).
% 28.82/19.41 tff(35719,plain,
% 28.82/19.41 (~v187(constB165)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35718, 27174, 35715])).
% 28.82/19.41 tff(35720,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB165) | (~v185(constB165)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB165) | (~v185(constB165)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35721,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB165) | (~v185(constB165)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35722,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB165) | (~v185(constB165))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35721, 35720])).
% 28.82/19.41 tff(35723,plain,
% 28.82/19.41 (~v185(constB165)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35722, 27188, 35719])).
% 28.82/19.41 tff(35724,assumption,(v18(constB166)), introduced(assumption)).
% 28.82/19.41 tff(35725,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB166))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35726,plain,
% 28.82/19.41 ($false),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35725, 27200, 35724])).
% 28.82/19.41 tff(35727,plain,(~v18(constB166)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.41 tff(35728,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB166) | (~v1(constB166)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB166) | (~v1(constB166)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35729,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB166) | (~v1(constB166)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35730,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB166) | (~v1(constB166))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35729, 35728])).
% 28.82/19.41 tff(35731,plain,
% 28.82/19.41 (v22(constB166)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35730, 27216, 23498])).
% 28.82/19.41 tff(35732,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB166) | (~v22(constB166)) | (~v19(constB166)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB166) | (~v22(constB166)) | (~v19(constB166)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35733,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB166) | (~v22(constB166)) | (~v19(constB166)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35734,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB166) | (~v22(constB166)) | (~v19(constB166))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35733, 35732])).
% 28.82/19.41 tff(35735,plain,
% 28.82/19.41 (v18(constB166) | (~v19(constB166))),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35734, 27230, 35731])).
% 28.82/19.41 tff(35736,plain,
% 28.82/19.41 (~v19(constB166)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35735, 35727])).
% 28.82/19.41 tff(35737,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB166) | v19(constB166))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB166) | v19(constB166))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35738,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB166) | v19(constB166))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35739,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB166) | v19(constB166)),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35738, 35737])).
% 28.82/19.41 tff(35740,plain,
% 28.82/19.41 (v13(constB166)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35739, 27242, 35736])).
% 28.82/19.41 tff(35741,plain,
% 28.82/19.41 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB165) | (~v13(constB166)) | (~nextState(constB165, constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB165) | (~v13(constB166)) | (~nextState(constB165, constB166)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35742,plain,
% 28.82/19.41 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB165) | (~v13(constB166)) | (~nextState(constB165, constB166)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35743,plain,
% 28.82/19.41 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB165) | (~v13(constB166)) | (~nextState(constB165, constB166))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35742, 35741])).
% 28.82/19.41 tff(35744,plain,
% 28.82/19.41 (v9(constB165) | (~v13(constB166))),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35743, 27259, 23478])).
% 28.82/19.41 tff(35745,plain,
% 28.82/19.41 (v9(constB165)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35744, 35740])).
% 28.82/19.41 tff(35746,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB165) | (~v9(constB165)) | v184(constB165))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB165) | (~v9(constB165)) | v184(constB165))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35747,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB165) | (~v9(constB165)) | v184(constB165))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35748,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB165) | (~v9(constB165)) | v184(constB165)),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35747, 35746])).
% 28.82/19.41 tff(35749,plain,
% 28.82/19.41 ((~v9(constB165)) | v184(constB165)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35748, 27274, 23345])).
% 28.82/19.41 tff(35750,plain,
% 28.82/19.41 (v184(constB165)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35749, 35745])).
% 28.82/19.41 tff(35751,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB165)) | v183(constB165))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB165)) | v183(constB165))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35752,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB165)) | v183(constB165))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35753,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB165)) | v183(constB165)),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35752, 35751])).
% 28.82/19.41 tff(35754,plain,
% 28.82/19.41 (v183(constB165)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35753, 27286, 35750])).
% 28.82/19.41 tff(35755,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB165)) | (~v183(constB165)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB165)) | (~v183(constB165)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35756,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB165)) | (~v183(constB165)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35757,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB165)) | (~v183(constB165))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35756, 35755])).
% 28.82/19.41 tff(35758,plain,
% 28.82/19.41 (~v181(constB165)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35757, 27300, 35754])).
% 28.82/19.41 tff(35759,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB165) | v185(constB165) | (~v178(constB165)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB165) | v185(constB165) | (~v178(constB165)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35760,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB165) | v185(constB165) | (~v178(constB165)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35761,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB165) | v185(constB165) | (~v178(constB165))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35760, 35759])).
% 28.82/19.41 tff(35762,plain,
% 28.82/19.41 (v185(constB165) | (~v178(constB165))),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35761, 27314, 35758])).
% 28.82/19.41 tff(35763,plain,
% 28.82/19.41 (~v178(constB165)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35762, 35723])).
% 28.82/19.41 tff(35764,plain,
% 28.82/19.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB165, constB166)) | v178(constB165) | (~v180(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB165, constB166)) | v178(constB165) | (~v180(constB166)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35765,plain,
% 28.82/19.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB165, constB166)) | v178(constB165) | (~v180(constB166)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35766,plain,
% 28.82/19.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB165, constB166)) | v178(constB165) | (~v180(constB166))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35765, 35764])).
% 28.82/19.41 tff(35767,plain,
% 28.82/19.41 (v178(constB165) | (~v180(constB166))),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35766, 27329, 23478])).
% 28.82/19.41 tff(35768,plain,
% 28.82/19.41 (~v180(constB166)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35767, 35763])).
% 28.82/19.41 tff(35769,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB166) | (~v181(constB166)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB166) | (~v181(constB166)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35770,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB166) | (~v181(constB166)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35771,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB166) | (~v181(constB166))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35770, 35769])).
% 28.82/19.41 tff(35772,plain,
% 28.82/19.41 (~v181(constB166)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35771, 27344, 35768])).
% 28.82/19.41 tff(35773,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB166)) | (~v184(constB166)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB166)) | (~v184(constB166)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35774,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB166)) | (~v184(constB166)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35775,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB166)) | (~v184(constB166))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35774, 35773])).
% 28.82/19.41 tff(35776,plain,
% 28.82/19.41 (~v184(constB166)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35775, 59, 23498])).
% 28.82/19.41 tff(35777,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB166) | (~v187(constB166)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB166) | (~v187(constB166)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35778,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB166) | (~v187(constB166)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35779,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB166) | (~v187(constB166))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35778, 35777])).
% 28.82/19.41 tff(35780,plain,
% 28.82/19.41 (~v187(constB166)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35779, 27362, 35776])).
% 28.82/19.41 tff(35781,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB166) | (~v185(constB166)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB166) | (~v185(constB166)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35782,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB166) | (~v185(constB166)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35783,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB166) | (~v185(constB166))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35782, 35781])).
% 28.82/19.41 tff(35784,plain,
% 28.82/19.41 (~v185(constB166)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35783, 27188, 35780])).
% 28.82/19.41 tff(35785,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB166) | v185(constB166) | (~v178(constB166)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB166) | v185(constB166) | (~v178(constB166)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35786,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB166) | v185(constB166) | (~v178(constB166)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35787,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB166) | v185(constB166) | (~v178(constB166))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35786, 35785])).
% 28.82/19.41 tff(35788,plain,
% 28.82/19.41 (v181(constB166) | (~v178(constB166))),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35787, 27314, 35784])).
% 28.82/19.41 tff(35789,plain,
% 28.82/19.41 (~v178(constB166)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35788, 35772])).
% 28.82/19.41 tff(35790,plain,
% 28.82/19.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB166, constB167)) | v178(constB166) | (~v180(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB166, constB167)) | v178(constB166) | (~v180(constB167)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35791,plain,
% 28.82/19.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB166, constB167)) | v178(constB166) | (~v180(constB167)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35792,plain,
% 28.82/19.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB166, constB167)) | v178(constB166) | (~v180(constB167))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35791, 35790])).
% 28.82/19.41 tff(35793,plain,
% 28.82/19.41 (v178(constB166) | (~v180(constB167))),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35792, 27329, 23540])).
% 28.82/19.41 tff(35794,plain,
% 28.82/19.41 (~v180(constB167)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35793, 35789])).
% 28.82/19.41 tff(35795,plain,
% 28.82/19.41 ($false),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35794, 35666])).
% 28.82/19.41 tff(35796,plain,(~(constB167 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.41 tff(35797,assumption,(constB181 = sK_VarCurr), introduced(assumption)).
% 28.82/19.41 tff(35798,plain,
% 28.82/19.41 (v180(constB181) <=> v180(sK_VarCurr)),
% 28.82/19.41 inference(monotonicity,[status(thm)],[35797])).
% 28.82/19.41 tff(35799,plain,
% 28.82/19.41 (v180(sK_VarCurr) <=> v180(constB181)),
% 28.82/19.41 inference(symmetry,[status(thm)],[35798])).
% 28.82/19.41 tff(35800,plain,
% 28.82/19.41 (v180(constB181)),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[86, 35799])).
% 28.82/19.41 tff(35801,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB179, 2)) | v88(constB179, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB179, 2)) | v88(constB179, 2))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35802,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB179, 2)) | v88(constB179, 2))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35803,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB179, 2)) | v88(constB179, 2)),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35802, 35801])).
% 28.82/19.41 tff(35804,plain,
% 28.82/19.41 (v88(constB179, 2)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35803, 27680, 24746])).
% 28.82/19.41 tff(35805,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB179)) | (~v88(constB179, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB179)) | (~v88(constB179, 2)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35806,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB179)) | (~v88(constB179, 2)))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35807,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB179)) | (~v88(constB179, 2))),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35806, 35805])).
% 28.82/19.41 tff(35808,plain,
% 28.82/19.41 (~v140(constB179)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35807, 27702, 35804])).
% 28.82/19.41 tff(35809,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB179, 0)) | v88(constB179, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB179, 0)) | v88(constB179, 0))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35810,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB179, 0)) | v88(constB179, 0))),
% 28.82/19.41 inference(quant_inst,[status(thm)],[])).
% 28.82/19.41 tff(35811,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB179, 0)) | v88(constB179, 0)),
% 28.82/19.41 inference(modus_ponens,[status(thm)],[35810, 35809])).
% 28.82/19.41 tff(35812,plain,
% 28.82/19.41 (v88(constB179, 0)),
% 28.82/19.41 inference(unit_resolution,[status(thm)],[35811, 27874, 24861])).
% 28.82/19.41 tff(35813,plain,
% 28.82/19.41 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB179)) | (~v88(constB179, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB179)) | (~v88(constB179, 0)))),
% 28.82/19.41 inference(rewrite,[status(thm)],[])).
% 28.82/19.41 tff(35814,plain,
% 28.82/19.41 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB179)) | (~v88(constB179, 0)))),
% 28.82/19.42 inference(quant_inst,[status(thm)],[])).
% 28.82/19.42 tff(35815,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB179)) | (~v88(constB179, 0))),
% 28.82/19.42 inference(modus_ponens,[status(thm)],[35814, 35813])).
% 28.82/19.42 tff(35816,plain,
% 28.82/19.42 (~v139(constB179)),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35815, 27885, 35812])).
% 28.82/19.42 tff(35817,plain,
% 28.82/19.42 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB179) | v140(constB179) | (~v168(constB179)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB179) | v140(constB179) | (~v168(constB179)))),
% 28.82/19.42 inference(rewrite,[status(thm)],[])).
% 28.82/19.42 tff(35818,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB179) | v140(constB179) | (~v168(constB179)))),
% 28.82/19.42 inference(quant_inst,[status(thm)],[])).
% 28.82/19.42 tff(35819,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB179) | v140(constB179) | (~v168(constB179))),
% 28.82/19.42 inference(modus_ponens,[status(thm)],[35818, 35817])).
% 28.82/19.42 tff(35820,plain,
% 28.82/19.42 (~v168(constB179)),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35819, 27142, 35816, 35808])).
% 28.82/19.42 tff(35821,plain,
% 28.82/19.42 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB179, 1)) | v90(constB179, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB179, 1)) | v90(constB179, 1))),
% 28.82/19.42 inference(rewrite,[status(thm)],[])).
% 28.82/19.42 tff(35822,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB179, 1)) | v90(constB179, 1))),
% 28.82/19.42 inference(quant_inst,[status(thm)],[])).
% 28.82/19.42 tff(35823,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB179, 1)) | v90(constB179, 1)),
% 28.82/19.42 inference(modus_ponens,[status(thm)],[35822, 35821])).
% 28.82/19.42 tff(35824,plain,
% 28.82/19.42 (~v88(constB179, 1)),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35823, 27717, 24780])).
% 28.82/19.42 tff(35825,plain,
% 28.82/19.42 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB179, 0)) | v147(constB179) | (~v88(constB179, 2)) | v88(constB179, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB179, 0)) | v147(constB179) | (~v88(constB179, 2)) | v88(constB179, 1))),
% 28.82/19.42 inference(rewrite,[status(thm)],[])).
% 28.82/19.42 tff(35826,plain,
% 28.82/19.42 (((~v88(constB179, 2)) | v88(constB179, 1) | (~v88(constB179, 0)) | v147(constB179)) <=> ((~v88(constB179, 0)) | v147(constB179) | (~v88(constB179, 2)) | v88(constB179, 1))),
% 28.82/19.42 inference(rewrite,[status(thm)],[])).
% 28.82/19.42 tff(35827,plain,
% 28.82/19.42 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB179, 2)) | v88(constB179, 1) | (~v88(constB179, 0)) | v147(constB179))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB179, 0)) | v147(constB179) | (~v88(constB179, 2)) | v88(constB179, 1)))),
% 28.82/19.42 inference(monotonicity,[status(thm)],[35826])).
% 28.82/19.42 tff(35828,plain,
% 28.82/19.42 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB179, 2)) | v88(constB179, 1) | (~v88(constB179, 0)) | v147(constB179))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB179, 0)) | v147(constB179) | (~v88(constB179, 2)) | v88(constB179, 1))),
% 28.82/19.42 inference(transitivity,[status(thm)],[35827, 35825])).
% 28.82/19.42 tff(35829,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB179, 2)) | v88(constB179, 1) | (~v88(constB179, 0)) | v147(constB179))),
% 28.82/19.42 inference(quant_inst,[status(thm)],[])).
% 28.82/19.42 tff(35830,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB179, 0)) | v147(constB179) | (~v88(constB179, 2)) | v88(constB179, 1)),
% 28.82/19.42 inference(modus_ponens,[status(thm)],[35829, 35828])).
% 28.82/19.42 tff(35831,plain,
% 28.82/19.42 (v147(constB179)),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35830, 27907, 35812, 35804, 35824])).
% 28.82/19.42 tff(35832,plain,
% 28.82/19.42 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB179)) | v145(constB179))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB179)) | v145(constB179))),
% 28.82/19.42 inference(rewrite,[status(thm)],[])).
% 28.82/19.42 tff(35833,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB179)) | v145(constB179))),
% 28.82/19.42 inference(quant_inst,[status(thm)],[])).
% 28.82/19.42 tff(35834,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB179)) | v145(constB179)),
% 28.82/19.42 inference(modus_ponens,[status(thm)],[35833, 35832])).
% 28.82/19.42 tff(35835,plain,
% 28.82/19.42 (v145(constB179)),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35834, 27921, 35831])).
% 28.82/19.42 tff(35836,plain,
% 28.82/19.42 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB179) | (~v145(constB179)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB179) | (~v145(constB179)))),
% 28.82/19.42 inference(rewrite,[status(thm)],[])).
% 28.82/19.42 tff(35837,plain,
% 28.82/19.42 (((~v145(constB179)) | v164(constB179)) <=> (v164(constB179) | (~v145(constB179)))),
% 28.82/19.42 inference(rewrite,[status(thm)],[])).
% 28.82/19.42 tff(35838,plain,
% 28.82/19.42 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB179)) | v164(constB179))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB179) | (~v145(constB179))))),
% 28.82/19.42 inference(monotonicity,[status(thm)],[35837])).
% 28.82/19.42 tff(35839,plain,
% 28.82/19.42 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB179)) | v164(constB179))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB179) | (~v145(constB179)))),
% 28.82/19.42 inference(transitivity,[status(thm)],[35838, 35836])).
% 28.82/19.42 tff(35840,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB179)) | v164(constB179))),
% 28.82/19.42 inference(quant_inst,[status(thm)],[])).
% 28.82/19.42 tff(35841,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB179) | (~v145(constB179))),
% 28.82/19.42 inference(modus_ponens,[status(thm)],[35840, 35839])).
% 28.82/19.42 tff(35842,plain,
% 28.82/19.42 (v164(constB179)),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35841, 27760, 35835])).
% 28.82/19.42 tff(35843,plain,
% 28.82/19.42 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB179)) | (~v164(constB179)) | v168(constB179))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB179)) | (~v164(constB179)) | v168(constB179))),
% 28.82/19.42 inference(rewrite,[status(thm)],[])).
% 28.82/19.42 tff(35844,plain,
% 28.82/19.42 (((~v164(constB179)) | v168(constB179) | (~v161(constB179))) <=> ((~v161(constB179)) | (~v164(constB179)) | v168(constB179))),
% 28.82/19.42 inference(rewrite,[status(thm)],[])).
% 28.82/19.42 tff(35845,plain,
% 28.82/19.42 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB179)) | v168(constB179) | (~v161(constB179)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB179)) | (~v164(constB179)) | v168(constB179)))),
% 28.82/19.42 inference(monotonicity,[status(thm)],[35844])).
% 28.82/19.42 tff(35846,plain,
% 28.82/19.42 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB179)) | v168(constB179) | (~v161(constB179)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB179)) | (~v164(constB179)) | v168(constB179))),
% 28.82/19.42 inference(transitivity,[status(thm)],[35845, 35843])).
% 28.82/19.42 tff(35847,plain,
% 28.82/19.42 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB179)) | v168(constB179) | (~v161(constB179)))),
% 28.82/19.42 inference(quant_inst,[status(thm)],[])).
% 28.82/19.42 tff(35848,plain,
% 28.82/19.42 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB179)) | (~v164(constB179)) | v168(constB179)),
% 28.82/19.42 inference(modus_ponens,[status(thm)],[35847, 35846])).
% 28.82/19.42 tff(35849,plain,
% 28.82/19.42 (~v161(constB179)),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35848, 27156, 35842, 35820])).
% 28.82/19.42 tff(35850,plain,
% 28.82/19.42 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB179) | (~v187(constB179)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB179) | (~v187(constB179)))),
% 28.82/19.42 inference(rewrite,[status(thm)],[])).
% 28.82/19.42 tff(35851,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB179) | (~v187(constB179)))),
% 28.82/19.42 inference(quant_inst,[status(thm)],[])).
% 28.82/19.42 tff(35852,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB179) | (~v187(constB179))),
% 28.82/19.42 inference(modus_ponens,[status(thm)],[35851, 35850])).
% 28.82/19.42 tff(35853,plain,
% 28.82/19.42 (~v187(constB179)),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35852, 27174, 35849])).
% 28.82/19.42 tff(35854,plain,
% 28.82/19.42 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB179) | (~v185(constB179)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB179) | (~v185(constB179)))),
% 28.82/19.42 inference(rewrite,[status(thm)],[])).
% 28.82/19.42 tff(35855,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB179) | (~v185(constB179)))),
% 28.82/19.42 inference(quant_inst,[status(thm)],[])).
% 28.82/19.42 tff(35856,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB179) | (~v185(constB179))),
% 28.82/19.42 inference(modus_ponens,[status(thm)],[35855, 35854])).
% 28.82/19.42 tff(35857,plain,
% 28.82/19.42 (~v185(constB179)),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35856, 27188, 35853])).
% 28.82/19.42 tff(35858,assumption,(v18(constB180)), introduced(assumption)).
% 28.82/19.42 tff(35859,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB180))),
% 28.82/19.42 inference(quant_inst,[status(thm)],[])).
% 28.82/19.42 tff(35860,plain,
% 28.82/19.42 ($false),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35859, 27200, 35858])).
% 28.82/19.42 tff(35861,plain,(~v18(constB180)), inference(lemma,lemma(discharge,[]))).
% 28.82/19.42 tff(35862,plain,
% 28.82/19.42 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB180) | (~v1(constB180)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB180) | (~v1(constB180)))),
% 28.82/19.42 inference(rewrite,[status(thm)],[])).
% 28.82/19.42 tff(35863,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB180) | (~v1(constB180)))),
% 28.82/19.42 inference(quant_inst,[status(thm)],[])).
% 28.82/19.42 tff(35864,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB180) | (~v1(constB180))),
% 28.82/19.42 inference(modus_ponens,[status(thm)],[35863, 35862])).
% 28.82/19.42 tff(35865,plain,
% 28.82/19.42 (v22(constB180)),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35864, 27216, 24918])).
% 28.82/19.42 tff(35866,plain,
% 28.82/19.42 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB180) | (~v22(constB180)) | (~v19(constB180)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB180) | (~v22(constB180)) | (~v19(constB180)))),
% 28.82/19.42 inference(rewrite,[status(thm)],[])).
% 28.82/19.42 tff(35867,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB180) | (~v22(constB180)) | (~v19(constB180)))),
% 28.82/19.42 inference(quant_inst,[status(thm)],[])).
% 28.82/19.42 tff(35868,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB180) | (~v22(constB180)) | (~v19(constB180))),
% 28.82/19.42 inference(modus_ponens,[status(thm)],[35867, 35866])).
% 28.82/19.42 tff(35869,plain,
% 28.82/19.42 (v18(constB180) | (~v19(constB180))),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35868, 27230, 35865])).
% 28.82/19.42 tff(35870,plain,
% 28.82/19.42 (~v19(constB180)),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35869, 35861])).
% 28.82/19.42 tff(35871,plain,
% 28.82/19.42 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB180) | v19(constB180))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB180) | v19(constB180))),
% 28.82/19.42 inference(rewrite,[status(thm)],[])).
% 28.82/19.42 tff(35872,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB180) | v19(constB180))),
% 28.82/19.42 inference(quant_inst,[status(thm)],[])).
% 28.82/19.42 tff(35873,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB180) | v19(constB180)),
% 28.82/19.42 inference(modus_ponens,[status(thm)],[35872, 35871])).
% 28.82/19.42 tff(35874,plain,
% 28.82/19.42 (v13(constB180)),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35873, 27242, 35870])).
% 28.82/19.42 tff(35875,plain,
% 28.82/19.42 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB179) | (~v13(constB180)) | (~nextState(constB179, constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB179) | (~v13(constB180)) | (~nextState(constB179, constB180)))),
% 28.82/19.42 inference(rewrite,[status(thm)],[])).
% 28.82/19.42 tff(35876,plain,
% 28.82/19.42 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB179) | (~v13(constB180)) | (~nextState(constB179, constB180)))),
% 28.82/19.42 inference(quant_inst,[status(thm)],[])).
% 28.82/19.42 tff(35877,plain,
% 28.82/19.42 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB179) | (~v13(constB180)) | (~nextState(constB179, constB180))),
% 28.82/19.42 inference(modus_ponens,[status(thm)],[35876, 35875])).
% 28.82/19.42 tff(35878,plain,
% 28.82/19.42 (v9(constB179) | (~v13(constB180))),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35877, 27259, 24898])).
% 28.82/19.42 tff(35879,plain,
% 28.82/19.42 (v9(constB179)),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35878, 35874])).
% 28.82/19.42 tff(35880,plain,
% 28.82/19.42 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB179) | (~v9(constB179)) | v184(constB179))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB179) | (~v9(constB179)) | v184(constB179))),
% 28.82/19.42 inference(rewrite,[status(thm)],[])).
% 28.82/19.42 tff(35881,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB179) | (~v9(constB179)) | v184(constB179))),
% 28.82/19.42 inference(quant_inst,[status(thm)],[])).
% 28.82/19.42 tff(35882,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB179) | (~v9(constB179)) | v184(constB179)),
% 28.82/19.42 inference(modus_ponens,[status(thm)],[35881, 35880])).
% 28.82/19.42 tff(35883,plain,
% 28.82/19.42 ((~v9(constB179)) | v184(constB179)),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35882, 27274, 24722])).
% 28.82/19.42 tff(35884,plain,
% 28.82/19.42 (v184(constB179)),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35883, 35879])).
% 28.82/19.42 tff(35885,plain,
% 28.82/19.42 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB179) | (~v184(constB179)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB179) | (~v184(constB179)))),
% 28.82/19.42 inference(rewrite,[status(thm)],[])).
% 28.82/19.42 tff(35886,plain,
% 28.82/19.42 (((~v184(constB179)) | v183(constB179)) <=> (v183(constB179) | (~v184(constB179)))),
% 28.82/19.42 inference(rewrite,[status(thm)],[])).
% 28.82/19.42 tff(35887,plain,
% 28.82/19.42 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB179)) | v183(constB179))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB179) | (~v184(constB179))))),
% 28.82/19.42 inference(monotonicity,[status(thm)],[35886])).
% 28.82/19.42 tff(35888,plain,
% 28.82/19.42 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB179)) | v183(constB179))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB179) | (~v184(constB179)))),
% 28.82/19.42 inference(transitivity,[status(thm)],[35887, 35885])).
% 28.82/19.42 tff(35889,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB179)) | v183(constB179))),
% 28.82/19.42 inference(quant_inst,[status(thm)],[])).
% 28.82/19.42 tff(35890,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB179) | (~v184(constB179))),
% 28.82/19.42 inference(modus_ponens,[status(thm)],[35889, 35888])).
% 28.82/19.42 tff(35891,plain,
% 28.82/19.42 (v183(constB179)),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35890, 27286, 35884])).
% 28.82/19.42 tff(35892,plain,
% 28.82/19.42 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB179)) | (~v183(constB179)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB179)) | (~v183(constB179)))),
% 28.82/19.42 inference(rewrite,[status(thm)],[])).
% 28.82/19.42 tff(35893,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB179)) | (~v183(constB179)))),
% 28.82/19.42 inference(quant_inst,[status(thm)],[])).
% 28.82/19.42 tff(35894,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB179)) | (~v183(constB179))),
% 28.82/19.42 inference(modus_ponens,[status(thm)],[35893, 35892])).
% 28.82/19.42 tff(35895,plain,
% 28.82/19.42 (~v181(constB179)),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35894, 27300, 35891])).
% 28.82/19.42 tff(35896,plain,
% 28.82/19.42 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB179) | v185(constB179) | (~v178(constB179)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB179) | v185(constB179) | (~v178(constB179)))),
% 28.82/19.42 inference(rewrite,[status(thm)],[])).
% 28.82/19.42 tff(35897,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB179) | v185(constB179) | (~v178(constB179)))),
% 28.82/19.42 inference(quant_inst,[status(thm)],[])).
% 28.82/19.42 tff(35898,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB179) | v185(constB179) | (~v178(constB179))),
% 28.82/19.42 inference(modus_ponens,[status(thm)],[35897, 35896])).
% 28.82/19.42 tff(35899,plain,
% 28.82/19.42 (v185(constB179) | (~v178(constB179))),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35898, 27314, 35895])).
% 28.82/19.42 tff(35900,plain,
% 28.82/19.42 (~v178(constB179)),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35899, 35857])).
% 28.82/19.42 tff(35901,plain,
% 28.82/19.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB179, constB180)) | v178(constB179) | (~v180(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB179, constB180)) | v178(constB179) | (~v180(constB180)))),
% 28.82/19.42 inference(rewrite,[status(thm)],[])).
% 28.82/19.42 tff(35902,plain,
% 28.82/19.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB179, constB180)) | v178(constB179) | (~v180(constB180)))),
% 28.82/19.42 inference(quant_inst,[status(thm)],[])).
% 28.82/19.42 tff(35903,plain,
% 28.82/19.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB179, constB180)) | v178(constB179) | (~v180(constB180))),
% 28.82/19.42 inference(modus_ponens,[status(thm)],[35902, 35901])).
% 28.82/19.42 tff(35904,plain,
% 28.82/19.42 (v178(constB179) | (~v180(constB180))),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35903, 27329, 24898])).
% 28.82/19.42 tff(35905,plain,
% 28.82/19.42 (~v180(constB180)),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35904, 35900])).
% 28.82/19.42 tff(35906,plain,
% 28.82/19.42 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB180) | (~v181(constB180)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB180) | (~v181(constB180)))),
% 28.82/19.42 inference(rewrite,[status(thm)],[])).
% 28.82/19.42 tff(35907,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB180) | (~v181(constB180)))),
% 28.82/19.42 inference(quant_inst,[status(thm)],[])).
% 28.82/19.42 tff(35908,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB180) | (~v181(constB180))),
% 28.82/19.42 inference(modus_ponens,[status(thm)],[35907, 35906])).
% 28.82/19.42 tff(35909,plain,
% 28.82/19.42 (~v181(constB180)),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35908, 27344, 35905])).
% 28.82/19.42 tff(35910,plain,
% 28.82/19.42 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB180)) | (~v184(constB180)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB180)) | (~v184(constB180)))),
% 28.82/19.42 inference(rewrite,[status(thm)],[])).
% 28.82/19.42 tff(35911,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB180)) | (~v184(constB180)))),
% 28.82/19.42 inference(quant_inst,[status(thm)],[])).
% 28.82/19.42 tff(35912,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB180)) | (~v184(constB180))),
% 28.82/19.42 inference(modus_ponens,[status(thm)],[35911, 35910])).
% 28.82/19.42 tff(35913,plain,
% 28.82/19.42 (~v184(constB180)),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35912, 59, 24918])).
% 28.82/19.42 tff(35914,plain,
% 28.82/19.42 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB180) | (~v187(constB180)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB180) | (~v187(constB180)))),
% 28.82/19.42 inference(rewrite,[status(thm)],[])).
% 28.82/19.42 tff(35915,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB180) | (~v187(constB180)))),
% 28.82/19.42 inference(quant_inst,[status(thm)],[])).
% 28.82/19.42 tff(35916,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB180) | (~v187(constB180))),
% 28.82/19.42 inference(modus_ponens,[status(thm)],[35915, 35914])).
% 28.82/19.42 tff(35917,plain,
% 28.82/19.42 (~v187(constB180)),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35916, 27362, 35913])).
% 28.82/19.42 tff(35918,plain,
% 28.82/19.42 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB180) | (~v185(constB180)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB180) | (~v185(constB180)))),
% 28.82/19.42 inference(rewrite,[status(thm)],[])).
% 28.82/19.42 tff(35919,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB180) | (~v185(constB180)))),
% 28.82/19.42 inference(quant_inst,[status(thm)],[])).
% 28.82/19.42 tff(35920,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB180) | (~v185(constB180))),
% 28.82/19.42 inference(modus_ponens,[status(thm)],[35919, 35918])).
% 28.82/19.42 tff(35921,plain,
% 28.82/19.42 (~v185(constB180)),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35920, 27188, 35917])).
% 28.82/19.42 tff(35922,plain,
% 28.82/19.42 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB180) | v185(constB180) | (~v178(constB180)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB180) | v185(constB180) | (~v178(constB180)))),
% 28.82/19.42 inference(rewrite,[status(thm)],[])).
% 28.82/19.42 tff(35923,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB180) | v185(constB180) | (~v178(constB180)))),
% 28.82/19.42 inference(quant_inst,[status(thm)],[])).
% 28.82/19.42 tff(35924,plain,
% 28.82/19.42 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB180) | v185(constB180) | (~v178(constB180))),
% 28.82/19.42 inference(modus_ponens,[status(thm)],[35923, 35922])).
% 28.82/19.42 tff(35925,plain,
% 28.82/19.42 (v181(constB180) | (~v178(constB180))),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35924, 27314, 35921])).
% 28.82/19.42 tff(35926,plain,
% 28.82/19.42 (~v178(constB180)),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35925, 35909])).
% 28.82/19.42 tff(35927,plain,
% 28.82/19.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB180, constB181)) | v178(constB180) | (~v180(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB180, constB181)) | v178(constB180) | (~v180(constB181)))),
% 28.82/19.42 inference(rewrite,[status(thm)],[])).
% 28.82/19.42 tff(35928,plain,
% 28.82/19.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB180, constB181)) | v178(constB180) | (~v180(constB181)))),
% 28.82/19.42 inference(quant_inst,[status(thm)],[])).
% 28.82/19.42 tff(35929,plain,
% 28.82/19.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB180, constB181)) | v178(constB180) | (~v180(constB181))),
% 28.82/19.42 inference(modus_ponens,[status(thm)],[35928, 35927])).
% 28.82/19.42 tff(35930,plain,
% 28.82/19.42 (v178(constB180) | (~v180(constB181))),
% 28.82/19.42 inference(unit_resolution,[status(thm)],[35929, 27329, 24960])).
% 28.90/19.42 tff(35931,plain,
% 28.90/19.42 (~v180(constB181)),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[35930, 35926])).
% 28.90/19.42 tff(35932,plain,
% 28.90/19.42 ($false),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[35931, 35800])).
% 28.90/19.42 tff(35933,plain,(~(constB181 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.42 tff(35934,assumption,(constB92 = sK_VarCurr), introduced(assumption)).
% 28.90/19.42 tff(35935,plain,
% 28.90/19.42 (v1(constB92) <=> v1(sK_VarCurr)),
% 28.90/19.42 inference(monotonicity,[status(thm)],[35934])).
% 28.90/19.42 tff(35936,plain,
% 28.90/19.42 (v1(sK_VarCurr) <=> v1(constB92)),
% 28.90/19.42 inference(symmetry,[status(thm)],[35935])).
% 28.90/19.42 tff(35937,plain,
% 28.90/19.42 ((~v1(sK_VarCurr)) <=> (~v1(constB92))),
% 28.90/19.42 inference(monotonicity,[status(thm)],[35936])).
% 28.90/19.42 tff(35938,plain,
% 28.90/19.42 (~v1(constB92)),
% 28.90/19.42 inference(modus_ponens,[status(thm)],[63, 35937])).
% 28.90/19.42 tff(35939,plain,
% 28.90/19.42 ($false),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[12162, 35938])).
% 28.90/19.42 tff(35940,plain,(~(constB92 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.42 tff(35941,assumption,(constB55 = sK_VarCurr), introduced(assumption)).
% 28.90/19.42 tff(35942,plain,
% 28.90/19.42 (v180(constB55) <=> v180(sK_VarCurr)),
% 28.90/19.42 inference(monotonicity,[status(thm)],[35941])).
% 28.90/19.42 tff(35943,plain,
% 28.90/19.42 (v180(sK_VarCurr) <=> v180(constB55)),
% 28.90/19.42 inference(symmetry,[status(thm)],[35942])).
% 28.90/19.42 tff(35944,plain,
% 28.90/19.42 (v180(constB55)),
% 28.90/19.42 inference(modus_ponens,[status(thm)],[86, 35943])).
% 28.90/19.42 tff(35945,plain,
% 28.90/19.42 ($false),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[28731, 35944])).
% 28.90/19.42 tff(35946,plain,(~(constB55 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.42 tff(35947,assumption,(constB194 = sK_VarCurr), introduced(assumption)).
% 28.90/19.42 tff(35948,plain,
% 28.90/19.42 (v1(constB194) <=> v1(sK_VarCurr)),
% 28.90/19.42 inference(monotonicity,[status(thm)],[35947])).
% 28.90/19.42 tff(35949,plain,
% 28.90/19.42 (v1(sK_VarCurr) <=> v1(constB194)),
% 28.90/19.42 inference(symmetry,[status(thm)],[35948])).
% 28.90/19.42 tff(35950,plain,
% 28.90/19.42 ((~v1(sK_VarCurr)) <=> (~v1(constB194))),
% 28.90/19.42 inference(monotonicity,[status(thm)],[35949])).
% 28.90/19.42 tff(35951,plain,
% 28.90/19.42 (~v1(constB194)),
% 28.90/19.42 inference(modus_ponens,[status(thm)],[63, 35950])).
% 28.90/19.42 tff(35952,plain,
% 28.90/19.42 ($false),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[26634, 35951])).
% 28.90/19.42 tff(35953,plain,(~(constB194 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.42 tff(35954,assumption,(constB88 = sK_VarCurr), introduced(assumption)).
% 28.90/19.42 tff(35955,plain,
% 28.90/19.42 (v1(constB88) <=> v1(sK_VarCurr)),
% 28.90/19.42 inference(monotonicity,[status(thm)],[35954])).
% 28.90/19.42 tff(35956,plain,
% 28.90/19.42 (v1(sK_VarCurr) <=> v1(constB88)),
% 28.90/19.42 inference(symmetry,[status(thm)],[35955])).
% 28.90/19.42 tff(35957,plain,
% 28.90/19.42 ((~v1(sK_VarCurr)) <=> (~v1(constB88))),
% 28.90/19.42 inference(monotonicity,[status(thm)],[35956])).
% 28.90/19.42 tff(35958,plain,
% 28.90/19.42 (~v1(constB88)),
% 28.90/19.42 inference(modus_ponens,[status(thm)],[63, 35957])).
% 28.90/19.42 tff(35959,plain,
% 28.90/19.42 ($false),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[11377, 35958])).
% 28.90/19.42 tff(35960,plain,(~(constB88 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.42 tff(35961,assumption,(constB161 = sK_VarCurr), introduced(assumption)).
% 28.90/19.42 tff(35962,plain,
% 28.90/19.42 (v86(constB161) <=> v86(sK_VarCurr)),
% 28.90/19.42 inference(monotonicity,[status(thm)],[35961])).
% 28.90/19.42 tff(35963,plain,
% 28.90/19.42 (v86(sK_VarCurr) <=> v86(constB161)),
% 28.90/19.42 inference(symmetry,[status(thm)],[35962])).
% 28.90/19.42 tff(35964,plain,
% 28.90/19.42 ((~v86(sK_VarCurr)) <=> (~v86(constB161))),
% 28.90/19.42 inference(monotonicity,[status(thm)],[35963])).
% 28.90/19.42 tff(35965,plain,
% 28.90/19.42 (~v86(constB161)),
% 28.90/19.42 inference(modus_ponens,[status(thm)],[29494, 35964])).
% 28.90/19.42 tff(35966,plain,
% 28.90/19.42 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (v148(constB161) | (~v142(constB161)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB161) | (~v142(constB161)))),
% 28.90/19.42 inference(rewrite,[status(thm)],[])).
% 28.90/19.42 tff(35967,plain,
% 28.90/19.42 (((~v142(constB161)) | v148(constB161)) <=> (v148(constB161) | (~v142(constB161)))),
% 28.90/19.42 inference(rewrite,[status(thm)],[])).
% 28.90/19.42 tff(35968,plain,
% 28.90/19.42 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB161)) | v148(constB161))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (v148(constB161) | (~v142(constB161))))),
% 28.90/19.42 inference(monotonicity,[status(thm)],[35967])).
% 28.90/19.42 tff(35969,plain,
% 28.90/19.42 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB161)) | v148(constB161))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB161) | (~v142(constB161)))),
% 28.90/19.42 inference(transitivity,[status(thm)],[35968, 35966])).
% 28.90/19.42 tff(35970,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB161)) | v148(constB161))),
% 28.90/19.42 inference(quant_inst,[status(thm)],[])).
% 28.90/19.42 tff(35971,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB161) | (~v142(constB161))),
% 28.90/19.42 inference(modus_ponens,[status(thm)],[35970, 35969])).
% 28.90/19.42 tff(35972,plain,
% 28.90/19.42 (v148(constB161)),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[35971, 29528, 35390])).
% 28.90/19.42 tff(35973,plain,
% 28.90/19.42 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | (v86(constB161) | (~v148(constB161)) | (~v164(constB161)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB161) | (~v148(constB161)) | (~v164(constB161)))),
% 28.90/19.42 inference(rewrite,[status(thm)],[])).
% 28.90/19.42 tff(35974,plain,
% 28.90/19.42 (((~v148(constB161)) | v86(constB161) | (~v164(constB161))) <=> (v86(constB161) | (~v148(constB161)) | (~v164(constB161)))),
% 28.90/19.42 inference(rewrite,[status(thm)],[])).
% 28.90/19.42 tff(35975,plain,
% 28.90/19.42 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB161)) | v86(constB161) | (~v164(constB161)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | (v86(constB161) | (~v148(constB161)) | (~v164(constB161))))),
% 28.90/19.42 inference(monotonicity,[status(thm)],[35974])).
% 28.90/19.42 tff(35976,plain,
% 28.90/19.42 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB161)) | v86(constB161) | (~v164(constB161)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB161) | (~v148(constB161)) | (~v164(constB161)))),
% 28.90/19.42 inference(transitivity,[status(thm)],[35975, 35973])).
% 28.90/19.42 tff(35977,plain,
% 28.90/19.42 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB161)) | v86(constB161) | (~v164(constB161)))),
% 28.90/19.42 inference(quant_inst,[status(thm)],[])).
% 28.90/19.42 tff(35978,plain,
% 28.90/19.42 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB161) | (~v148(constB161)) | (~v164(constB161))),
% 28.90/19.42 inference(modus_ponens,[status(thm)],[35977, 35976])).
% 28.90/19.42 tff(35979,plain,
% 28.90/19.42 (v86(constB161)),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[35978, 29550, 35401, 35972])).
% 28.90/19.42 tff(35980,plain,
% 28.90/19.42 ($false),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[35979, 35965])).
% 28.90/19.42 tff(35981,plain,(~(constB161 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.42 tff(35982,assumption,(constB140 = sK_VarCurr), introduced(assumption)).
% 28.90/19.42 tff(35983,plain,
% 28.90/19.42 (v1(constB140) <=> v1(sK_VarCurr)),
% 28.90/19.42 inference(monotonicity,[status(thm)],[35982])).
% 28.90/19.42 tff(35984,plain,
% 28.90/19.42 (v1(sK_VarCurr) <=> v1(constB140)),
% 28.90/19.42 inference(symmetry,[status(thm)],[35983])).
% 28.90/19.42 tff(35985,plain,
% 28.90/19.42 ((~v1(sK_VarCurr)) <=> (~v1(constB140))),
% 28.90/19.42 inference(monotonicity,[status(thm)],[35984])).
% 28.90/19.42 tff(35986,plain,
% 28.90/19.42 (~v1(constB140)),
% 28.90/19.42 inference(modus_ponens,[status(thm)],[63, 35985])).
% 28.90/19.42 tff(35987,plain,
% 28.90/19.42 ($false),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[20772, 35986])).
% 28.90/19.42 tff(35988,plain,(~(constB140 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.42 tff(35989,assumption,(constB68 = sK_VarCurr), introduced(assumption)).
% 28.90/19.42 tff(35990,plain,
% 28.90/19.42 (v1(constB68) <=> v1(sK_VarCurr)),
% 28.90/19.42 inference(monotonicity,[status(thm)],[35989])).
% 28.90/19.42 tff(35991,plain,
% 28.90/19.42 (v1(sK_VarCurr) <=> v1(constB68)),
% 28.90/19.42 inference(symmetry,[status(thm)],[35990])).
% 28.90/19.42 tff(35992,plain,
% 28.90/19.42 ((~v1(sK_VarCurr)) <=> (~v1(constB68))),
% 28.90/19.42 inference(monotonicity,[status(thm)],[35991])).
% 28.90/19.42 tff(35993,plain,
% 28.90/19.42 (~v1(constB68)),
% 28.90/19.42 inference(modus_ponens,[status(thm)],[63, 35992])).
% 28.90/19.42 tff(35994,plain,
% 28.90/19.42 ($false),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[9404, 35993])).
% 28.90/19.42 tff(35995,plain,(~(constB68 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.42 tff(35996,assumption,(constB138 = sK_VarCurr), introduced(assumption)).
% 28.90/19.42 tff(35997,plain,
% 28.90/19.42 (v1(constB138) <=> v1(sK_VarCurr)),
% 28.90/19.42 inference(monotonicity,[status(thm)],[35996])).
% 28.90/19.42 tff(35998,plain,
% 28.90/19.42 (v1(sK_VarCurr) <=> v1(constB138)),
% 28.90/19.42 inference(symmetry,[status(thm)],[35997])).
% 28.90/19.42 tff(35999,plain,
% 28.90/19.42 ((~v1(sK_VarCurr)) <=> (~v1(constB138))),
% 28.90/19.42 inference(monotonicity,[status(thm)],[35998])).
% 28.90/19.42 tff(36000,plain,
% 28.90/19.42 (~v1(constB138)),
% 28.90/19.42 inference(modus_ponens,[status(thm)],[63, 35999])).
% 28.90/19.42 tff(36001,plain,
% 28.90/19.42 ($false),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[16629, 36000])).
% 28.90/19.42 tff(36002,plain,(~(constB138 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.42 tff(36003,assumption,(constB47 = sK_VarCurr), introduced(assumption)).
% 28.90/19.42 tff(36004,plain,
% 28.90/19.42 (v180(constB47) <=> v180(sK_VarCurr)),
% 28.90/19.42 inference(monotonicity,[status(thm)],[36003])).
% 28.90/19.42 tff(36005,plain,
% 28.90/19.42 (v180(sK_VarCurr) <=> v180(constB47)),
% 28.90/19.42 inference(symmetry,[status(thm)],[36004])).
% 28.90/19.42 tff(36006,plain,
% 28.90/19.42 (v180(constB47)),
% 28.90/19.42 inference(modus_ponens,[status(thm)],[86, 36005])).
% 28.90/19.42 tff(36007,plain,
% 28.90/19.42 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB45, 2)) | v88(constB45, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB45, 2)) | v88(constB45, 2))),
% 28.90/19.42 inference(rewrite,[status(thm)],[])).
% 28.90/19.42 tff(36008,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB45, 2)) | v88(constB45, 2))),
% 28.90/19.42 inference(quant_inst,[status(thm)],[])).
% 28.90/19.42 tff(36009,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB45, 2)) | v88(constB45, 2)),
% 28.90/19.42 inference(modus_ponens,[status(thm)],[36008, 36007])).
% 28.90/19.42 tff(36010,plain,
% 28.90/19.42 (v88(constB45, 2)),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[36009, 27680, 6858])).
% 28.90/19.42 tff(36011,plain,
% 28.90/19.42 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB45)) | (~v88(constB45, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB45)) | (~v88(constB45, 2)))),
% 28.90/19.42 inference(rewrite,[status(thm)],[])).
% 28.90/19.42 tff(36012,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB45)) | (~v88(constB45, 2)))),
% 28.90/19.42 inference(quant_inst,[status(thm)],[])).
% 28.90/19.42 tff(36013,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB45)) | (~v88(constB45, 2))),
% 28.90/19.42 inference(modus_ponens,[status(thm)],[36012, 36011])).
% 28.90/19.42 tff(36014,plain,
% 28.90/19.42 (~v139(constB45)),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[36013, 27691, 36010])).
% 28.90/19.42 tff(36015,plain,
% 28.90/19.42 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB45)) | (~v88(constB45, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB45)) | (~v88(constB45, 2)))),
% 28.90/19.42 inference(rewrite,[status(thm)],[])).
% 28.90/19.42 tff(36016,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB45)) | (~v88(constB45, 2)))),
% 28.90/19.42 inference(quant_inst,[status(thm)],[])).
% 28.90/19.42 tff(36017,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB45)) | (~v88(constB45, 2))),
% 28.90/19.42 inference(modus_ponens,[status(thm)],[36016, 36015])).
% 28.90/19.42 tff(36018,plain,
% 28.90/19.42 (~v140(constB45)),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[36017, 27702, 36010])).
% 28.90/19.42 tff(36019,plain,
% 28.90/19.42 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB45) | v140(constB45) | (~v168(constB45)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB45) | v140(constB45) | (~v168(constB45)))),
% 28.90/19.42 inference(rewrite,[status(thm)],[])).
% 28.90/19.42 tff(36020,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB45) | v140(constB45) | (~v168(constB45)))),
% 28.90/19.42 inference(quant_inst,[status(thm)],[])).
% 28.90/19.42 tff(36021,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB45) | v140(constB45) | (~v168(constB45))),
% 28.90/19.42 inference(modus_ponens,[status(thm)],[36020, 36019])).
% 28.90/19.42 tff(36022,plain,
% 28.90/19.42 (~v168(constB45)),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[36021, 27142, 36018, 36014])).
% 28.90/19.42 tff(36023,plain,
% 28.90/19.42 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB45, 1)) | v90(constB45, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB45, 1)) | v90(constB45, 1))),
% 28.90/19.42 inference(rewrite,[status(thm)],[])).
% 28.90/19.42 tff(36024,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB45, 1)) | v90(constB45, 1))),
% 28.90/19.42 inference(quant_inst,[status(thm)],[])).
% 28.90/19.42 tff(36025,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB45, 1)) | v90(constB45, 1)),
% 28.90/19.42 inference(modus_ponens,[status(thm)],[36024, 36023])).
% 28.90/19.42 tff(36026,plain,
% 28.90/19.42 (~v88(constB45, 1)),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[36025, 27717, 6892])).
% 28.90/19.42 tff(36027,plain,
% 28.90/19.42 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB45, 0)) | v90(constB45, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB45, 0)) | v90(constB45, 0))),
% 28.90/19.42 inference(rewrite,[status(thm)],[])).
% 28.90/19.42 tff(36028,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB45, 0)) | v90(constB45, 0))),
% 28.90/19.42 inference(quant_inst,[status(thm)],[])).
% 28.90/19.42 tff(36029,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB45, 0)) | v90(constB45, 0)),
% 28.90/19.42 inference(modus_ponens,[status(thm)],[36028, 36027])).
% 28.90/19.42 tff(36030,plain,
% 28.90/19.42 (~v88(constB45, 0)),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[36029, 26990, 6926])).
% 28.90/19.42 tff(36031,plain,
% 28.90/19.42 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB45, 2)) | v146(constB45) | v88(constB45, 0) | v88(constB45, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (~v88(constB45, 2)) | v146(constB45) | v88(constB45, 0) | v88(constB45, 1))),
% 28.90/19.42 inference(rewrite,[status(thm)],[])).
% 28.90/19.42 tff(36032,plain,
% 28.90/19.42 (((~v88(constB45, 2)) | v88(constB45, 1) | v88(constB45, 0) | v146(constB45)) <=> ((~v88(constB45, 2)) | v146(constB45) | v88(constB45, 0) | v88(constB45, 1))),
% 28.90/19.42 inference(rewrite,[status(thm)],[])).
% 28.90/19.42 tff(36033,plain,
% 28.90/19.42 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB45, 2)) | v88(constB45, 1) | v88(constB45, 0) | v146(constB45))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB45, 2)) | v146(constB45) | v88(constB45, 0) | v88(constB45, 1)))),
% 28.90/19.42 inference(monotonicity,[status(thm)],[36032])).
% 28.90/19.42 tff(36034,plain,
% 28.90/19.42 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB45, 2)) | v88(constB45, 1) | v88(constB45, 0) | v146(constB45))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (~v88(constB45, 2)) | v146(constB45) | v88(constB45, 0) | v88(constB45, 1))),
% 28.90/19.42 inference(transitivity,[status(thm)],[36033, 36031])).
% 28.90/19.42 tff(36035,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB45, 2)) | v88(constB45, 1) | v88(constB45, 0) | v146(constB45))),
% 28.90/19.42 inference(quant_inst,[status(thm)],[])).
% 28.90/19.42 tff(36036,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (~v88(constB45, 2)) | v146(constB45) | v88(constB45, 0) | v88(constB45, 1)),
% 28.90/19.42 inference(modus_ponens,[status(thm)],[36035, 36034])).
% 28.90/19.42 tff(36037,plain,
% 28.90/19.42 (v146(constB45)),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[36036, 27735, 36010, 36030, 36026])).
% 28.90/19.42 tff(36038,plain,
% 28.90/19.42 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB45)) | v145(constB45))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB45)) | v145(constB45))),
% 28.90/19.42 inference(rewrite,[status(thm)],[])).
% 28.90/19.42 tff(36039,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB45)) | v145(constB45))),
% 28.90/19.42 inference(quant_inst,[status(thm)],[])).
% 28.90/19.42 tff(36040,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB45)) | v145(constB45)),
% 28.90/19.42 inference(modus_ponens,[status(thm)],[36039, 36038])).
% 28.90/19.42 tff(36041,plain,
% 28.90/19.42 (v145(constB45)),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[36040, 27749, 36037])).
% 28.90/19.42 tff(36042,plain,
% 28.90/19.42 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB45) | (~v145(constB45)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB45) | (~v145(constB45)))),
% 28.90/19.42 inference(rewrite,[status(thm)],[])).
% 28.90/19.42 tff(36043,plain,
% 28.90/19.42 (((~v145(constB45)) | v164(constB45)) <=> (v164(constB45) | (~v145(constB45)))),
% 28.90/19.42 inference(rewrite,[status(thm)],[])).
% 28.90/19.42 tff(36044,plain,
% 28.90/19.42 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB45)) | v164(constB45))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB45) | (~v145(constB45))))),
% 28.90/19.42 inference(monotonicity,[status(thm)],[36043])).
% 28.90/19.42 tff(36045,plain,
% 28.90/19.42 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB45)) | v164(constB45))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB45) | (~v145(constB45)))),
% 28.90/19.42 inference(transitivity,[status(thm)],[36044, 36042])).
% 28.90/19.42 tff(36046,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB45)) | v164(constB45))),
% 28.90/19.42 inference(quant_inst,[status(thm)],[])).
% 28.90/19.42 tff(36047,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB45) | (~v145(constB45))),
% 28.90/19.42 inference(modus_ponens,[status(thm)],[36046, 36045])).
% 28.90/19.42 tff(36048,plain,
% 28.90/19.42 (v164(constB45)),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[36047, 27760, 36041])).
% 28.90/19.42 tff(36049,plain,
% 28.90/19.42 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB45)) | v168(constB45) | (~v164(constB45)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB45)) | v168(constB45) | (~v164(constB45)))),
% 28.90/19.42 inference(rewrite,[status(thm)],[])).
% 28.90/19.42 tff(36050,plain,
% 28.90/19.42 (((~v164(constB45)) | v168(constB45) | (~v161(constB45))) <=> ((~v161(constB45)) | v168(constB45) | (~v164(constB45)))),
% 28.90/19.42 inference(rewrite,[status(thm)],[])).
% 28.90/19.42 tff(36051,plain,
% 28.90/19.42 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB45)) | v168(constB45) | (~v161(constB45)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB45)) | v168(constB45) | (~v164(constB45))))),
% 28.90/19.42 inference(monotonicity,[status(thm)],[36050])).
% 28.90/19.42 tff(36052,plain,
% 28.90/19.42 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB45)) | v168(constB45) | (~v161(constB45)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB45)) | v168(constB45) | (~v164(constB45)))),
% 28.90/19.42 inference(transitivity,[status(thm)],[36051, 36049])).
% 28.90/19.42 tff(36053,plain,
% 28.90/19.42 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB45)) | v168(constB45) | (~v161(constB45)))),
% 28.90/19.42 inference(quant_inst,[status(thm)],[])).
% 28.90/19.42 tff(36054,plain,
% 28.90/19.42 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB45)) | v168(constB45) | (~v164(constB45))),
% 28.90/19.42 inference(modus_ponens,[status(thm)],[36053, 36052])).
% 28.90/19.42 tff(36055,plain,
% 28.90/19.42 (~v161(constB45)),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[36054, 27156, 36048, 36022])).
% 28.90/19.42 tff(36056,plain,
% 28.90/19.42 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB45) | (~v187(constB45)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB45) | (~v187(constB45)))),
% 28.90/19.42 inference(rewrite,[status(thm)],[])).
% 28.90/19.42 tff(36057,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB45) | (~v187(constB45)))),
% 28.90/19.42 inference(quant_inst,[status(thm)],[])).
% 28.90/19.42 tff(36058,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB45) | (~v187(constB45))),
% 28.90/19.42 inference(modus_ponens,[status(thm)],[36057, 36056])).
% 28.90/19.42 tff(36059,plain,
% 28.90/19.42 (~v187(constB45)),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[36058, 27174, 36055])).
% 28.90/19.42 tff(36060,plain,
% 28.90/19.42 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB45) | (~v185(constB45)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB45) | (~v185(constB45)))),
% 28.90/19.42 inference(rewrite,[status(thm)],[])).
% 28.90/19.42 tff(36061,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB45) | (~v185(constB45)))),
% 28.90/19.42 inference(quant_inst,[status(thm)],[])).
% 28.90/19.42 tff(36062,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB45) | (~v185(constB45))),
% 28.90/19.42 inference(modus_ponens,[status(thm)],[36061, 36060])).
% 28.90/19.42 tff(36063,plain,
% 28.90/19.42 (~v185(constB45)),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[36062, 27188, 36059])).
% 28.90/19.42 tff(36064,plain,
% 28.90/19.42 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB45) | (~v181(constB45)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB45) | (~v181(constB45)))),
% 28.90/19.42 inference(rewrite,[status(thm)],[])).
% 28.90/19.42 tff(36065,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB45) | (~v181(constB45)))),
% 28.90/19.42 inference(quant_inst,[status(thm)],[])).
% 28.90/19.42 tff(36066,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB45) | (~v181(constB45))),
% 28.90/19.42 inference(modus_ponens,[status(thm)],[36065, 36064])).
% 28.90/19.42 tff(36067,plain,
% 28.90/19.42 (~v181(constB45)),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[36066, 27344, 34963])).
% 28.90/19.42 tff(36068,plain,
% 28.90/19.42 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB45) | v185(constB45) | (~v178(constB45)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB45) | v185(constB45) | (~v178(constB45)))),
% 28.90/19.42 inference(rewrite,[status(thm)],[])).
% 28.90/19.42 tff(36069,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB45) | v185(constB45) | (~v178(constB45)))),
% 28.90/19.42 inference(quant_inst,[status(thm)],[])).
% 28.90/19.42 tff(36070,plain,
% 28.90/19.42 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB45) | v185(constB45) | (~v178(constB45))),
% 28.90/19.42 inference(modus_ponens,[status(thm)],[36069, 36068])).
% 28.90/19.42 tff(36071,plain,
% 28.90/19.42 (v185(constB45) | (~v178(constB45))),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[36070, 27314, 36067])).
% 28.90/19.42 tff(36072,plain,
% 28.90/19.42 (~v178(constB45)),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[36071, 36063])).
% 28.90/19.42 tff(36073,plain,
% 28.90/19.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB45, constB46)) | v178(constB45) | (~v180(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB45, constB46)) | v178(constB45) | (~v180(constB46)))),
% 28.90/19.42 inference(rewrite,[status(thm)],[])).
% 28.90/19.42 tff(36074,plain,
% 28.90/19.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB45, constB46)) | v178(constB45) | (~v180(constB46)))),
% 28.90/19.42 inference(quant_inst,[status(thm)],[])).
% 28.90/19.42 tff(36075,plain,
% 28.90/19.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB45, constB46)) | v178(constB45) | (~v180(constB46))),
% 28.90/19.42 inference(modus_ponens,[status(thm)],[36074, 36073])).
% 28.90/19.42 tff(36076,plain,
% 28.90/19.42 (v178(constB45) | (~v180(constB46))),
% 28.90/19.42 inference(unit_resolution,[status(thm)],[36075, 27329, 6967])).
% 28.90/19.42 tff(36077,plain,
% 28.90/19.43 (~v180(constB46)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36076, 36072])).
% 28.90/19.43 tff(36078,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB46) | (~v181(constB46)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB46) | (~v181(constB46)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36079,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB46) | (~v181(constB46)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36080,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB46) | (~v181(constB46))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36079, 36078])).
% 28.90/19.43 tff(36081,plain,
% 28.90/19.43 (~v181(constB46)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36080, 27344, 36077])).
% 28.90/19.43 tff(36082,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB46)) | (~v184(constB46)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB46)) | (~v184(constB46)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36083,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB46)) | (~v184(constB46)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36084,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB46)) | (~v184(constB46))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36083, 36082])).
% 28.90/19.43 tff(36085,plain,
% 28.90/19.43 (~v184(constB46)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36084, 59, 6987])).
% 28.90/19.43 tff(36086,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB46) | (~v187(constB46)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB46) | (~v187(constB46)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36087,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB46) | (~v187(constB46)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36088,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB46) | (~v187(constB46))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36087, 36086])).
% 28.90/19.43 tff(36089,plain,
% 28.90/19.43 (~v187(constB46)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36088, 27362, 36085])).
% 28.90/19.43 tff(36090,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB46) | (~v185(constB46)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB46) | (~v185(constB46)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36091,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB46) | (~v185(constB46)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36092,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB46) | (~v185(constB46))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36091, 36090])).
% 28.90/19.43 tff(36093,plain,
% 28.90/19.43 (~v185(constB46)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36092, 27188, 36089])).
% 28.90/19.43 tff(36094,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB46) | v185(constB46) | (~v178(constB46)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB46) | v185(constB46) | (~v178(constB46)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36095,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB46) | v185(constB46) | (~v178(constB46)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36096,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB46) | v185(constB46) | (~v178(constB46))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36095, 36094])).
% 28.90/19.43 tff(36097,plain,
% 28.90/19.43 (v181(constB46) | (~v178(constB46))),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36096, 27314, 36093])).
% 28.90/19.43 tff(36098,plain,
% 28.90/19.43 (~v178(constB46)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36097, 36081])).
% 28.90/19.43 tff(36099,plain,
% 28.90/19.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB46, constB47)) | v178(constB46) | (~v180(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB46, constB47)) | v178(constB46) | (~v180(constB47)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36100,plain,
% 28.90/19.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB46, constB47)) | v178(constB46) | (~v180(constB47)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36101,plain,
% 28.90/19.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB46, constB47)) | v178(constB46) | (~v180(constB47))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36100, 36099])).
% 28.90/19.43 tff(36102,plain,
% 28.90/19.43 (v178(constB46) | (~v180(constB47))),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36101, 27329, 7029])).
% 28.90/19.43 tff(36103,plain,
% 28.90/19.43 (~v180(constB47)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36102, 36098])).
% 28.90/19.43 tff(36104,plain,
% 28.90/19.43 ($false),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36103, 36006])).
% 28.90/19.43 tff(36105,plain,(~(constB47 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.43 tff(36106,assumption,(constB103 = sK_VarCurr), introduced(assumption)).
% 28.90/19.43 tff(36107,plain,
% 28.90/19.43 (v180(constB103) <=> v180(sK_VarCurr)),
% 28.90/19.43 inference(monotonicity,[status(thm)],[36106])).
% 28.90/19.43 tff(36108,plain,
% 28.90/19.43 (v180(sK_VarCurr) <=> v180(constB103)),
% 28.90/19.43 inference(symmetry,[status(thm)],[36107])).
% 28.90/19.43 tff(36109,plain,
% 28.90/19.43 (v180(constB103)),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[86, 36108])).
% 28.90/19.43 tff(36110,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB101, 2)) | v90(constB101, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB101, 2)) | v90(constB101, 2))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36111,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB101, 2)) | v90(constB101, 2))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36112,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB101, 2)) | v90(constB101, 2)),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36111, 36110])).
% 28.90/19.43 tff(36113,plain,
% 28.90/19.43 (~v88(constB101, 2)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36112, 27032, 13022])).
% 28.90/19.43 tff(36114,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB101, 0)) | v90(constB101, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB101, 0)) | v90(constB101, 0))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36115,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB101, 0)) | v90(constB101, 0))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36116,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB101, 0)) | v90(constB101, 0)),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36115, 36114])).
% 28.90/19.43 tff(36117,plain,
% 28.90/19.43 (~v88(constB101, 0)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36116, 26990, 13087])).
% 28.90/19.43 tff(36118,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB101, 1)) | v88(constB101, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB101, 1)) | v88(constB101, 1))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36119,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB101, 1)) | v88(constB101, 1))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36120,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB101, 1)) | v88(constB101, 1)),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36119, 36118])).
% 28.90/19.43 tff(36121,plain,
% 28.90/19.43 (v88(constB101, 1)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36120, 26945, 13053])).
% 28.90/19.43 tff(36122,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB101, 0) | v88(constB101, 2) | (~v88(constB101, 1)) | v143(constB101))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB101, 0) | v88(constB101, 2) | (~v88(constB101, 1)) | v143(constB101))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36123,plain,
% 28.90/19.43 ((v88(constB101, 2) | (~v88(constB101, 1)) | v88(constB101, 0) | v143(constB101)) <=> (v88(constB101, 0) | v88(constB101, 2) | (~v88(constB101, 1)) | v143(constB101))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36124,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB101, 2) | (~v88(constB101, 1)) | v88(constB101, 0) | v143(constB101))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB101, 0) | v88(constB101, 2) | (~v88(constB101, 1)) | v143(constB101)))),
% 28.90/19.43 inference(monotonicity,[status(thm)],[36123])).
% 28.90/19.43 tff(36125,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB101, 2) | (~v88(constB101, 1)) | v88(constB101, 0) | v143(constB101))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB101, 0) | v88(constB101, 2) | (~v88(constB101, 1)) | v143(constB101))),
% 28.90/19.43 inference(transitivity,[status(thm)],[36124, 36122])).
% 28.90/19.43 tff(36126,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB101, 2) | (~v88(constB101, 1)) | v88(constB101, 0) | v143(constB101))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36127,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB101, 0) | v88(constB101, 2) | (~v88(constB101, 1)) | v143(constB101)),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36126, 36125])).
% 28.90/19.43 tff(36128,plain,
% 28.90/19.43 (v143(constB101)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36127, 27047, 36121, 36117, 36113])).
% 28.90/19.43 tff(36129,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB101)) | v142(constB101))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB101)) | v142(constB101))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36130,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB101)) | v142(constB101))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36131,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB101)) | v142(constB101)),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36130, 36129])).
% 28.90/19.43 tff(36132,plain,
% 28.90/19.43 (v142(constB101)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36131, 27064, 36128])).
% 28.90/19.43 tff(36133,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB101)) | v165(constB101))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB101)) | v165(constB101))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36134,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | ((~v142(constB101)) | v165(constB101))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36135,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v165(VarCurr))) | (~v142(constB101)) | v165(constB101)),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36134, 36133])).
% 28.90/19.43 tff(36136,plain,
% 28.90/19.43 (v165(constB101)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36135, 27075, 36132])).
% 28.90/19.43 tff(36137,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB101) | (~v165(constB101)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB101) | (~v165(constB101)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36138,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB101) | (~v165(constB101)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36139,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB101) | (~v165(constB101))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36138, 36137])).
% 28.90/19.43 tff(36140,plain,
% 28.90/19.43 (v164(constB101)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36139, 27089, 36136])).
% 28.90/19.43 tff(36141,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB101)) | (~v88(constB101, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB101)) | (~v88(constB101, 1)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36142,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB101)) | (~v88(constB101, 1)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36143,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB101)) | (~v88(constB101, 1))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36142, 36141])).
% 28.90/19.43 tff(36144,plain,
% 28.90/19.43 (~v139(constB101)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36143, 27117, 36121])).
% 28.90/19.43 tff(36145,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB101)) | (~v88(constB101, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB101)) | (~v88(constB101, 1)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36146,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB101)) | (~v88(constB101, 1)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36147,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB101)) | (~v88(constB101, 1))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36146, 36145])).
% 28.90/19.43 tff(36148,plain,
% 28.90/19.43 (~v140(constB101)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36147, 27128, 36121])).
% 28.90/19.43 tff(36149,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB101) | v140(constB101) | (~v168(constB101)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB101) | v140(constB101) | (~v168(constB101)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36150,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB101) | v140(constB101) | (~v168(constB101)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36151,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB101) | v140(constB101) | (~v168(constB101))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36150, 36149])).
% 28.90/19.43 tff(36152,plain,
% 28.90/19.43 (~v168(constB101)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36151, 27142, 36148, 36144])).
% 28.90/19.43 tff(36153,plain,
% 28.90/19.43 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB101)) | v168(constB101) | (~v164(constB101)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB101)) | v168(constB101) | (~v164(constB101)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36154,plain,
% 28.90/19.43 (((~v164(constB101)) | v168(constB101) | (~v161(constB101))) <=> ((~v161(constB101)) | v168(constB101) | (~v164(constB101)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36155,plain,
% 28.90/19.43 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB101)) | v168(constB101) | (~v161(constB101)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB101)) | v168(constB101) | (~v164(constB101))))),
% 28.90/19.43 inference(monotonicity,[status(thm)],[36154])).
% 28.90/19.43 tff(36156,plain,
% 28.90/19.43 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB101)) | v168(constB101) | (~v161(constB101)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB101)) | v168(constB101) | (~v164(constB101)))),
% 28.90/19.43 inference(transitivity,[status(thm)],[36155, 36153])).
% 28.90/19.43 tff(36157,plain,
% 28.90/19.43 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB101)) | v168(constB101) | (~v161(constB101)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36158,plain,
% 28.90/19.43 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB101)) | v168(constB101) | (~v164(constB101))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36157, 36156])).
% 28.90/19.43 tff(36159,plain,
% 28.90/19.43 ((~v161(constB101)) | (~v164(constB101))),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36158, 27156, 36152])).
% 28.90/19.43 tff(36160,plain,
% 28.90/19.43 (~v161(constB101)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36159, 36140])).
% 28.90/19.43 tff(36161,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB101) | (~v187(constB101)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB101) | (~v187(constB101)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36162,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB101) | (~v187(constB101)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36163,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB101) | (~v187(constB101))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36162, 36161])).
% 28.90/19.43 tff(36164,plain,
% 28.90/19.43 (~v187(constB101)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36163, 27174, 36160])).
% 28.90/19.43 tff(36165,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB101) | (~v185(constB101)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB101) | (~v185(constB101)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36166,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB101) | (~v185(constB101)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36167,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB101) | (~v185(constB101))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36166, 36165])).
% 28.90/19.43 tff(36168,plain,
% 28.90/19.43 (~v185(constB101)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36167, 27188, 36164])).
% 28.90/19.43 tff(36169,assumption,(v18(constB102)), introduced(assumption)).
% 28.90/19.43 tff(36170,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB102))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36171,plain,
% 28.90/19.43 ($false),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36170, 27200, 36169])).
% 28.90/19.43 tff(36172,plain,(~v18(constB102)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.43 tff(36173,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36174,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36175,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36174, 36173])).
% 28.90/19.43 tff(36176,plain,
% 28.90/19.43 (v22(constB102)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36175, 27216, 13165])).
% 28.90/19.43 tff(36177,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB102) | (~v22(constB102)) | (~v19(constB102)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB102) | (~v22(constB102)) | (~v19(constB102)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36178,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB102) | (~v22(constB102)) | (~v19(constB102)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36179,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB102) | (~v22(constB102)) | (~v19(constB102))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36178, 36177])).
% 28.90/19.43 tff(36180,plain,
% 28.90/19.43 (v18(constB102) | (~v19(constB102))),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36179, 27230, 36176])).
% 28.90/19.43 tff(36181,plain,
% 28.90/19.43 (~v19(constB102)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36180, 36172])).
% 28.90/19.43 tff(36182,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36183,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36184,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102)),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36183, 36182])).
% 28.90/19.43 tff(36185,plain,
% 28.90/19.43 (v13(constB102)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36184, 27242, 36181])).
% 28.90/19.43 tff(36186,plain,
% 28.90/19.43 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB101) | (~v13(constB102)) | (~nextState(constB101, constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB101) | (~v13(constB102)) | (~nextState(constB101, constB102)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36187,plain,
% 28.90/19.43 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB101) | (~v13(constB102)) | (~nextState(constB101, constB102)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36188,plain,
% 28.90/19.43 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB101) | (~v13(constB102)) | (~nextState(constB101, constB102))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36187, 36186])).
% 28.90/19.43 tff(36189,plain,
% 28.90/19.43 (v9(constB101) | (~v13(constB102))),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36188, 27259, 13145])).
% 28.90/19.43 tff(36190,plain,
% 28.90/19.43 (v9(constB101)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36189, 36185])).
% 28.90/19.43 tff(36191,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v184(constB101))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB101) | (~v9(constB101)) | v184(constB101))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36192,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v184(constB101))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36193,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB101) | (~v9(constB101)) | v184(constB101)),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36192, 36191])).
% 28.90/19.43 tff(36194,plain,
% 28.90/19.43 ((~v9(constB101)) | v184(constB101)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36193, 27274, 12998])).
% 28.90/19.43 tff(36195,plain,
% 28.90/19.43 (v184(constB101)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36194, 36190])).
% 28.90/19.43 tff(36196,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB101)) | v183(constB101))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB101)) | v183(constB101))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36197,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB101)) | v183(constB101))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36198,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB101)) | v183(constB101)),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36197, 36196])).
% 28.90/19.43 tff(36199,plain,
% 28.90/19.43 (v183(constB101)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36198, 27286, 36195])).
% 28.90/19.43 tff(36200,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB101)) | (~v183(constB101)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB101)) | (~v183(constB101)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36201,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB101)) | (~v183(constB101)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36202,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB101)) | (~v183(constB101))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36201, 36200])).
% 28.90/19.43 tff(36203,plain,
% 28.90/19.43 (~v181(constB101)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36202, 27300, 36199])).
% 28.90/19.43 tff(36204,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB101) | v185(constB101) | (~v178(constB101)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB101) | v185(constB101) | (~v178(constB101)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36205,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB101) | v185(constB101) | (~v178(constB101)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36206,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB101) | v185(constB101) | (~v178(constB101))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36205, 36204])).
% 28.90/19.43 tff(36207,plain,
% 28.90/19.43 (v185(constB101) | (~v178(constB101))),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36206, 27314, 36203])).
% 28.90/19.43 tff(36208,plain,
% 28.90/19.43 (~v178(constB101)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36207, 36168])).
% 28.90/19.43 tff(36209,plain,
% 28.90/19.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB101, constB102)) | v178(constB101) | (~v180(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB101, constB102)) | v178(constB101) | (~v180(constB102)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36210,plain,
% 28.90/19.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB101, constB102)) | v178(constB101) | (~v180(constB102)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36211,plain,
% 28.90/19.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB101, constB102)) | v178(constB101) | (~v180(constB102))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36210, 36209])).
% 28.90/19.43 tff(36212,plain,
% 28.90/19.43 (v178(constB101) | (~v180(constB102))),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36211, 27329, 13145])).
% 28.90/19.43 tff(36213,plain,
% 28.90/19.43 (~v180(constB102)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36212, 36208])).
% 28.90/19.43 tff(36214,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB102) | (~v181(constB102)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB102) | (~v181(constB102)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36215,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB102) | (~v181(constB102)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36216,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB102) | (~v181(constB102))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36215, 36214])).
% 28.90/19.43 tff(36217,plain,
% 28.90/19.43 (~v181(constB102)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36216, 27344, 36213])).
% 28.90/19.43 tff(36218,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB102)) | (~v184(constB102)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB102)) | (~v184(constB102)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36219,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB102)) | (~v184(constB102)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36220,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB102)) | (~v184(constB102))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36219, 36218])).
% 28.90/19.43 tff(36221,plain,
% 28.90/19.43 (~v184(constB102)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36220, 59, 13165])).
% 28.90/19.43 tff(36222,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB102) | (~v187(constB102)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB102) | (~v187(constB102)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36223,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB102) | (~v187(constB102)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36224,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB102) | (~v187(constB102))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36223, 36222])).
% 28.90/19.43 tff(36225,plain,
% 28.90/19.43 (~v187(constB102)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36224, 27362, 36221])).
% 28.90/19.43 tff(36226,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB102) | (~v185(constB102)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB102) | (~v185(constB102)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36227,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB102) | (~v185(constB102)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36228,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB102) | (~v185(constB102))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36227, 36226])).
% 28.90/19.43 tff(36229,plain,
% 28.90/19.43 (~v185(constB102)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36228, 27188, 36225])).
% 28.90/19.43 tff(36230,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB102) | v185(constB102) | (~v178(constB102)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB102) | v185(constB102) | (~v178(constB102)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36231,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB102) | v185(constB102) | (~v178(constB102)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36232,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB102) | v185(constB102) | (~v178(constB102))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36231, 36230])).
% 28.90/19.43 tff(36233,plain,
% 28.90/19.43 (v181(constB102) | (~v178(constB102))),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36232, 27314, 36229])).
% 28.90/19.43 tff(36234,plain,
% 28.90/19.43 (~v178(constB102)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36233, 36217])).
% 28.90/19.43 tff(36235,plain,
% 28.90/19.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB102, constB103)) | v178(constB102) | (~v180(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB102, constB103)) | v178(constB102) | (~v180(constB103)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36236,plain,
% 28.90/19.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB102, constB103)) | v178(constB102) | (~v180(constB103)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36237,plain,
% 28.90/19.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB102, constB103)) | v178(constB102) | (~v180(constB103))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36236, 36235])).
% 28.90/19.43 tff(36238,plain,
% 28.90/19.43 (v178(constB102) | (~v180(constB103))),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36237, 27329, 13207])).
% 28.90/19.43 tff(36239,plain,
% 28.90/19.43 (~v180(constB103)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36238, 36234])).
% 28.90/19.43 tff(36240,plain,
% 28.90/19.43 ($false),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36239, 36109])).
% 28.90/19.43 tff(36241,plain,(~(constB103 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.43 tff(36242,assumption,(constB144 = sK_VarCurr), introduced(assumption)).
% 28.90/19.43 tff(36243,plain,
% 28.90/19.43 (v1(constB144) <=> v1(sK_VarCurr)),
% 28.90/19.43 inference(monotonicity,[status(thm)],[36242])).
% 28.90/19.43 tff(36244,plain,
% 28.90/19.43 (v1(sK_VarCurr) <=> v1(constB144)),
% 28.90/19.43 inference(symmetry,[status(thm)],[36243])).
% 28.90/19.43 tff(36245,plain,
% 28.90/19.43 ((~v1(sK_VarCurr)) <=> (~v1(constB144))),
% 28.90/19.43 inference(monotonicity,[status(thm)],[36244])).
% 28.90/19.43 tff(36246,plain,
% 28.90/19.43 (~v1(constB144)),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[63, 36245])).
% 28.90/19.43 tff(36247,plain,
% 28.90/19.43 ($false),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[21132, 36246])).
% 28.90/19.43 tff(36248,plain,(~(constB144 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.43 tff(36249,assumption,(constB61 = sK_VarCurr), introduced(assumption)).
% 28.90/19.43 tff(36250,plain,
% 28.90/19.43 (v180(constB61) <=> v180(sK_VarCurr)),
% 28.90/19.43 inference(monotonicity,[status(thm)],[36249])).
% 28.90/19.43 tff(36251,plain,
% 28.90/19.43 (v180(sK_VarCurr) <=> v180(constB61)),
% 28.90/19.43 inference(symmetry,[status(thm)],[36250])).
% 28.90/19.43 tff(36252,plain,
% 28.90/19.43 (v180(constB61)),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[86, 36251])).
% 28.90/19.43 tff(36253,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB59) | (~v181(constB59)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB59) | (~v181(constB59)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36254,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB59) | (~v181(constB59)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36255,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB59) | (~v181(constB59))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36254, 36253])).
% 28.90/19.43 tff(36256,plain,
% 28.90/19.43 (~v181(constB59)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36255, 27344, 33871])).
% 28.90/19.43 tff(36257,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB59, 2)) | v88(constB59, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB59, 2)) | v88(constB59, 2))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36258,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB59, 2)) | v88(constB59, 2))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36259,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB59, 2)) | v88(constB59, 2)),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36258, 36257])).
% 28.90/19.43 tff(36260,plain,
% 28.90/19.43 (v88(constB59, 2)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36259, 27680, 8271])).
% 28.90/19.43 tff(36261,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB59)) | (~v88(constB59, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB59)) | (~v88(constB59, 2)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36262,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB59)) | (~v88(constB59, 2)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36263,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB59)) | (~v88(constB59, 2))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36262, 36261])).
% 28.90/19.43 tff(36264,plain,
% 28.90/19.43 (~v140(constB59)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36263, 27702, 36260])).
% 28.90/19.43 tff(36265,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB59, 0)) | v88(constB59, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB59, 0)) | v88(constB59, 0))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36266,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB59, 0)) | v88(constB59, 0))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36267,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB59, 0)) | v88(constB59, 0)),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36266, 36265])).
% 28.90/19.43 tff(36268,plain,
% 28.90/19.43 (v88(constB59, 0)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36267, 27874, 8367])).
% 28.90/19.43 tff(36269,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB59)) | (~v88(constB59, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB59)) | (~v88(constB59, 0)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36270,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB59)) | (~v88(constB59, 0)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36271,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB59)) | (~v88(constB59, 0))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36270, 36269])).
% 28.90/19.43 tff(36272,plain,
% 28.90/19.43 (~v139(constB59)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36271, 27885, 36268])).
% 28.90/19.43 tff(36273,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB59) | v140(constB59) | (~v168(constB59)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB59) | v140(constB59) | (~v168(constB59)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36274,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB59) | v140(constB59) | (~v168(constB59)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36275,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB59) | v140(constB59) | (~v168(constB59))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36274, 36273])).
% 28.90/19.43 tff(36276,plain,
% 28.90/19.43 (~v168(constB59)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36275, 27142, 36272, 36264])).
% 28.90/19.43 tff(36277,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB59, 1)) | v90(constB59, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB59, 1)) | v90(constB59, 1))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36278,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB59, 1)) | v90(constB59, 1))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36279,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB59, 1)) | v90(constB59, 1)),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36278, 36277])).
% 28.90/19.43 tff(36280,plain,
% 28.90/19.43 (~v88(constB59, 1)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36279, 27717, 8305])).
% 28.90/19.43 tff(36281,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB59, 0)) | v147(constB59) | (~v88(constB59, 2)) | v88(constB59, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB59, 0)) | v147(constB59) | (~v88(constB59, 2)) | v88(constB59, 1))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36282,plain,
% 28.90/19.43 (((~v88(constB59, 2)) | v88(constB59, 1) | (~v88(constB59, 0)) | v147(constB59)) <=> ((~v88(constB59, 0)) | v147(constB59) | (~v88(constB59, 2)) | v88(constB59, 1))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36283,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB59, 2)) | v88(constB59, 1) | (~v88(constB59, 0)) | v147(constB59))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB59, 0)) | v147(constB59) | (~v88(constB59, 2)) | v88(constB59, 1)))),
% 28.90/19.43 inference(monotonicity,[status(thm)],[36282])).
% 28.90/19.43 tff(36284,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB59, 2)) | v88(constB59, 1) | (~v88(constB59, 0)) | v147(constB59))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB59, 0)) | v147(constB59) | (~v88(constB59, 2)) | v88(constB59, 1))),
% 28.90/19.43 inference(transitivity,[status(thm)],[36283, 36281])).
% 28.90/19.43 tff(36285,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB59, 2)) | v88(constB59, 1) | (~v88(constB59, 0)) | v147(constB59))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36286,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB59, 0)) | v147(constB59) | (~v88(constB59, 2)) | v88(constB59, 1)),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36285, 36284])).
% 28.90/19.43 tff(36287,plain,
% 28.90/19.43 (v147(constB59)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36286, 27907, 36268, 36260, 36280])).
% 28.90/19.43 tff(36288,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (v145(constB59) | (~v147(constB59)))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | v145(constB59) | (~v147(constB59)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36289,plain,
% 28.90/19.43 (((~v147(constB59)) | v145(constB59)) <=> (v145(constB59) | (~v147(constB59)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36290,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB59)) | v145(constB59))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (v145(constB59) | (~v147(constB59))))),
% 28.90/19.43 inference(monotonicity,[status(thm)],[36289])).
% 28.90/19.43 tff(36291,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB59)) | v145(constB59))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | v145(constB59) | (~v147(constB59)))),
% 28.90/19.43 inference(transitivity,[status(thm)],[36290, 36288])).
% 28.90/19.43 tff(36292,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB59)) | v145(constB59))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36293,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | v145(constB59) | (~v147(constB59))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36292, 36291])).
% 28.90/19.43 tff(36294,plain,
% 28.90/19.43 (v145(constB59)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36293, 27921, 36287])).
% 28.90/19.43 tff(36295,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB59) | (~v145(constB59)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB59) | (~v145(constB59)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36296,plain,
% 28.90/19.43 (((~v145(constB59)) | v164(constB59)) <=> (v164(constB59) | (~v145(constB59)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36297,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB59)) | v164(constB59))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB59) | (~v145(constB59))))),
% 28.90/19.43 inference(monotonicity,[status(thm)],[36296])).
% 28.90/19.43 tff(36298,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB59)) | v164(constB59))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB59) | (~v145(constB59)))),
% 28.90/19.43 inference(transitivity,[status(thm)],[36297, 36295])).
% 28.90/19.43 tff(36299,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB59)) | v164(constB59))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36300,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB59) | (~v145(constB59))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36299, 36298])).
% 28.90/19.43 tff(36301,plain,
% 28.90/19.43 (v164(constB59)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36300, 27760, 36294])).
% 28.90/19.43 tff(36302,plain,
% 28.90/19.43 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB59)) | v168(constB59) | (~v164(constB59)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB59)) | v168(constB59) | (~v164(constB59)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36303,plain,
% 28.90/19.43 (((~v164(constB59)) | v168(constB59) | (~v161(constB59))) <=> ((~v161(constB59)) | v168(constB59) | (~v164(constB59)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36304,plain,
% 28.90/19.43 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB59)) | v168(constB59) | (~v161(constB59)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB59)) | v168(constB59) | (~v164(constB59))))),
% 28.90/19.43 inference(monotonicity,[status(thm)],[36303])).
% 28.90/19.43 tff(36305,plain,
% 28.90/19.43 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB59)) | v168(constB59) | (~v161(constB59)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB59)) | v168(constB59) | (~v164(constB59)))),
% 28.90/19.43 inference(transitivity,[status(thm)],[36304, 36302])).
% 28.90/19.43 tff(36306,plain,
% 28.90/19.43 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB59)) | v168(constB59) | (~v161(constB59)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36307,plain,
% 28.90/19.43 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB59)) | v168(constB59) | (~v164(constB59))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36306, 36305])).
% 28.90/19.43 tff(36308,plain,
% 28.90/19.43 (~v161(constB59)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36307, 27156, 36301, 36276])).
% 28.90/19.43 tff(36309,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB59) | (~v187(constB59)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB59) | (~v187(constB59)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36310,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB59) | (~v187(constB59)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36311,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB59) | (~v187(constB59))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36310, 36309])).
% 28.90/19.43 tff(36312,plain,
% 28.90/19.43 (~v187(constB59)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36311, 27174, 36308])).
% 28.90/19.43 tff(36313,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB59) | (~v185(constB59)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB59) | (~v185(constB59)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36314,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB59) | (~v185(constB59)))),
% 28.90/19.43 inference(quant_inst,[status(thm)],[])).
% 28.90/19.43 tff(36315,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB59) | (~v185(constB59))),
% 28.90/19.43 inference(modus_ponens,[status(thm)],[36314, 36313])).
% 28.90/19.43 tff(36316,plain,
% 28.90/19.43 (~v185(constB59)),
% 28.90/19.43 inference(unit_resolution,[status(thm)],[36315, 27188, 36312])).
% 28.90/19.43 tff(36317,plain,
% 28.90/19.43 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB59) | v185(constB59) | (~v178(constB59)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB59) | v185(constB59) | (~v178(constB59)))),
% 28.90/19.43 inference(rewrite,[status(thm)],[])).
% 28.90/19.43 tff(36318,plain,
% 28.90/19.43 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB59) | v185(constB59) | (~v178(constB59)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36319,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB59) | v185(constB59) | (~v178(constB59))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36318, 36317])).
% 28.90/19.44 tff(36320,plain,
% 28.90/19.44 (v181(constB59) | (~v178(constB59))),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36319, 27314, 36316])).
% 28.90/19.44 tff(36321,plain,
% 28.90/19.44 (~v178(constB59)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36320, 36256])).
% 28.90/19.44 tff(36322,plain,
% 28.90/19.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB59, constB60)) | v178(constB59) | (~v180(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB59, constB60)) | v178(constB59) | (~v180(constB60)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36323,plain,
% 28.90/19.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB59, constB60)) | v178(constB59) | (~v180(constB60)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36324,plain,
% 28.90/19.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB59, constB60)) | v178(constB59) | (~v180(constB60))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36323, 36322])).
% 28.90/19.44 tff(36325,plain,
% 28.90/19.44 (v178(constB59) | (~v180(constB60))),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36324, 27329, 8401])).
% 28.90/19.44 tff(36326,plain,
% 28.90/19.44 (~v180(constB60)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36325, 36321])).
% 28.90/19.44 tff(36327,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB60) | (~v181(constB60)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB60) | (~v181(constB60)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36328,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB60) | (~v181(constB60)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36329,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB60) | (~v181(constB60))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36328, 36327])).
% 28.90/19.44 tff(36330,plain,
% 28.90/19.44 (~v181(constB60)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36329, 27344, 36326])).
% 28.90/19.44 tff(36331,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB60)) | (~v184(constB60)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB60)) | (~v184(constB60)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36332,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB60)) | (~v184(constB60)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36333,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB60)) | (~v184(constB60))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36332, 36331])).
% 28.90/19.44 tff(36334,plain,
% 28.90/19.44 (~v184(constB60)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36333, 59, 8421])).
% 28.90/19.44 tff(36335,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB60) | (~v187(constB60)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB60) | (~v187(constB60)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36336,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB60) | (~v187(constB60)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36337,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB60) | (~v187(constB60))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36336, 36335])).
% 28.90/19.44 tff(36338,plain,
% 28.90/19.44 (~v187(constB60)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36337, 27362, 36334])).
% 28.90/19.44 tff(36339,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB60) | (~v185(constB60)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB60) | (~v185(constB60)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36340,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB60) | (~v185(constB60)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36341,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB60) | (~v185(constB60))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36340, 36339])).
% 28.90/19.44 tff(36342,plain,
% 28.90/19.44 (~v185(constB60)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36341, 27188, 36338])).
% 28.90/19.44 tff(36343,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB60) | v185(constB60) | (~v178(constB60)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB60) | v185(constB60) | (~v178(constB60)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36344,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB60) | v185(constB60) | (~v178(constB60)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36345,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB60) | v185(constB60) | (~v178(constB60))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36344, 36343])).
% 28.90/19.44 tff(36346,plain,
% 28.90/19.44 (v181(constB60) | (~v178(constB60))),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36345, 27314, 36342])).
% 28.90/19.44 tff(36347,plain,
% 28.90/19.44 (~v178(constB60)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36346, 36330])).
% 28.90/19.44 tff(36348,plain,
% 28.90/19.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB60, constB61)) | v178(constB60) | (~v180(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB60, constB61)) | v178(constB60) | (~v180(constB61)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36349,plain,
% 28.90/19.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB60, constB61)) | v178(constB60) | (~v180(constB61)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36350,plain,
% 28.90/19.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB60, constB61)) | v178(constB60) | (~v180(constB61))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36349, 36348])).
% 28.90/19.44 tff(36351,plain,
% 28.90/19.44 (v178(constB60) | (~v180(constB61))),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36350, 27329, 8463])).
% 28.90/19.44 tff(36352,plain,
% 28.90/19.44 (~v180(constB61)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36351, 36347])).
% 28.90/19.44 tff(36353,plain,
% 28.90/19.44 ($false),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36352, 36252])).
% 28.90/19.44 tff(36354,plain,(~(constB61 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.44 tff(36355,assumption,(constB198 = sK_VarCurr), introduced(assumption)).
% 28.90/19.44 tff(36356,plain,
% 28.90/19.44 (v1(constB198) <=> v1(sK_VarCurr)),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36355])).
% 28.90/19.44 tff(36357,plain,
% 28.90/19.44 (v1(sK_VarCurr) <=> v1(constB198)),
% 28.90/19.44 inference(symmetry,[status(thm)],[36356])).
% 28.90/19.44 tff(36358,plain,
% 28.90/19.44 ((~v1(sK_VarCurr)) <=> (~v1(constB198))),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36357])).
% 28.90/19.44 tff(36359,plain,
% 28.90/19.44 (~v1(constB198)),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[63, 36358])).
% 28.90/19.44 tff(36360,plain,
% 28.90/19.44 ($false),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[27206, 36359])).
% 28.90/19.44 tff(36361,plain,(~(constB198 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.44 tff(36362,assumption,(constB148 = sK_VarCurr), introduced(assumption)).
% 28.90/19.44 tff(36363,plain,
% 28.90/19.44 (v1(constB148) <=> v1(sK_VarCurr)),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36362])).
% 28.90/19.44 tff(36364,plain,
% 28.90/19.44 (v1(sK_VarCurr) <=> v1(constB148)),
% 28.90/19.44 inference(symmetry,[status(thm)],[36363])).
% 28.90/19.44 tff(36365,plain,
% 28.90/19.44 ((~v1(sK_VarCurr)) <=> (~v1(constB148))),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36364])).
% 28.90/19.44 tff(36366,plain,
% 28.90/19.44 (~v1(constB148)),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[63, 36365])).
% 28.90/19.44 tff(36367,plain,
% 28.90/19.44 ($false),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[21610, 36366])).
% 28.90/19.44 tff(36368,plain,(~(constB148 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.44 tff(36369,assumption,(constB21 = sK_VarCurr), introduced(assumption)).
% 28.90/19.44 tff(36370,plain,
% 28.90/19.44 (v180(constB21) <=> v180(sK_VarCurr)),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36369])).
% 28.90/19.44 tff(36371,plain,
% 28.90/19.44 (v180(sK_VarCurr) <=> v180(constB21)),
% 28.90/19.44 inference(symmetry,[status(thm)],[36370])).
% 28.90/19.44 tff(36372,plain,
% 28.90/19.44 (v180(constB21)),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[86, 36371])).
% 28.90/19.44 tff(36373,plain,
% 28.90/19.44 ($false),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[31015, 36372])).
% 28.90/19.44 tff(36374,plain,(~(constB21 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.44 tff(36375,assumption,(constB52 = sK_VarCurr), introduced(assumption)).
% 28.90/19.44 tff(36376,plain,
% 28.90/19.44 (v1(constB52) <=> v1(sK_VarCurr)),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36375])).
% 28.90/19.44 tff(36377,plain,
% 28.90/19.44 (v1(sK_VarCurr) <=> v1(constB52)),
% 28.90/19.44 inference(symmetry,[status(thm)],[36376])).
% 28.90/19.44 tff(36378,plain,
% 28.90/19.44 ((~v1(sK_VarCurr)) <=> (~v1(constB52))),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36377])).
% 28.90/19.44 tff(36379,plain,
% 28.90/19.44 (~v1(constB52)),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[63, 36378])).
% 28.90/19.44 tff(36380,plain,
% 28.90/19.44 ($false),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[7612, 36379])).
% 28.90/19.44 tff(36381,plain,(~(constB52 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.44 tff(36382,assumption,(constB66 = sK_VarCurr), introduced(assumption)).
% 28.90/19.44 tff(36383,plain,
% 28.90/19.44 (v1(constB66) <=> v1(sK_VarCurr)),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36382])).
% 28.90/19.44 tff(36384,plain,
% 28.90/19.44 (v1(sK_VarCurr) <=> v1(constB66)),
% 28.90/19.44 inference(symmetry,[status(thm)],[36383])).
% 28.90/19.44 tff(36385,plain,
% 28.90/19.44 ((~v1(sK_VarCurr)) <=> (~v1(constB66))),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36384])).
% 28.90/19.44 tff(36386,plain,
% 28.90/19.44 (~v1(constB66)),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[63, 36385])).
% 28.90/19.44 tff(36387,plain,
% 28.90/19.44 ($false),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[9208, 36386])).
% 28.90/19.44 tff(36388,plain,(~(constB66 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.44 tff(36389,assumption,(constB5 = sK_VarCurr), introduced(assumption)).
% 28.90/19.44 tff(36390,plain,
% 28.90/19.44 (v86(constB5) <=> v86(sK_VarCurr)),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36389])).
% 28.90/19.44 tff(36391,plain,
% 28.90/19.44 (v86(sK_VarCurr) <=> v86(constB5)),
% 28.90/19.44 inference(symmetry,[status(thm)],[36390])).
% 28.90/19.44 tff(36392,plain,
% 28.90/19.44 ((~v86(sK_VarCurr)) <=> (~v86(constB5))),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36391])).
% 28.90/19.44 tff(36393,plain,
% 28.90/19.44 (~v86(constB5)),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[29494, 36392])).
% 28.90/19.44 tff(36394,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (v148(constB5) | (~v142(constB5)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB5) | (~v142(constB5)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36395,plain,
% 28.90/19.44 (((~v142(constB5)) | v148(constB5)) <=> (v148(constB5) | (~v142(constB5)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36396,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB5)) | v148(constB5))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (v148(constB5) | (~v142(constB5))))),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36395])).
% 28.90/19.44 tff(36397,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB5)) | v148(constB5))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB5) | (~v142(constB5)))),
% 28.90/19.44 inference(transitivity,[status(thm)],[36396, 36394])).
% 28.90/19.44 tff(36398,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB5)) | v148(constB5))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36399,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB5) | (~v142(constB5))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36398, 36397])).
% 28.90/19.44 tff(36400,plain,
% 28.90/19.44 (v148(constB5)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36399, 29528, 27447])).
% 28.90/19.44 tff(36401,plain,
% 28.90/19.44 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | (v86(constB5) | (~v164(constB5)) | (~v148(constB5)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB5) | (~v164(constB5)) | (~v148(constB5)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36402,plain,
% 28.90/19.44 (((~v148(constB5)) | v86(constB5) | (~v164(constB5))) <=> (v86(constB5) | (~v164(constB5)) | (~v148(constB5)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36403,plain,
% 28.90/19.44 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB5)) | v86(constB5) | (~v164(constB5)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | (v86(constB5) | (~v164(constB5)) | (~v148(constB5))))),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36402])).
% 28.90/19.44 tff(36404,plain,
% 28.90/19.44 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB5)) | v86(constB5) | (~v164(constB5)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB5) | (~v164(constB5)) | (~v148(constB5)))),
% 28.90/19.44 inference(transitivity,[status(thm)],[36403, 36401])).
% 28.90/19.44 tff(36405,plain,
% 28.90/19.44 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB5)) | v86(constB5) | (~v164(constB5)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36406,plain,
% 28.90/19.44 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB5) | (~v164(constB5)) | (~v148(constB5))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36405, 36404])).
% 28.90/19.44 tff(36407,plain,
% 28.90/19.44 (v86(constB5)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36406, 29550, 27458, 36400])).
% 28.90/19.44 tff(36408,plain,
% 28.90/19.44 ($false),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36407, 36393])).
% 28.90/19.44 tff(36409,plain,(~(constB5 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.44 tff(36410,assumption,(constB101 = sK_VarCurr), introduced(assumption)).
% 28.90/19.44 tff(36411,plain,
% 28.90/19.44 (v86(constB101) <=> v86(sK_VarCurr)),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36410])).
% 28.90/19.44 tff(36412,plain,
% 28.90/19.44 (v86(sK_VarCurr) <=> v86(constB101)),
% 28.90/19.44 inference(symmetry,[status(thm)],[36411])).
% 28.90/19.44 tff(36413,plain,
% 28.90/19.44 ((~v86(sK_VarCurr)) <=> (~v86(constB101))),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36412])).
% 28.90/19.44 tff(36414,plain,
% 28.90/19.44 (~v86(constB101)),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[29494, 36413])).
% 28.90/19.44 tff(36415,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB101)) | v148(constB101))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB101)) | v148(constB101))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36416,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB101)) | v148(constB101))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36417,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB101)) | v148(constB101)),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36416, 36415])).
% 28.90/19.44 tff(36418,plain,
% 28.90/19.44 (v148(constB101)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36417, 29528, 36132])).
% 28.90/19.44 tff(36419,plain,
% 28.90/19.44 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | (v86(constB101) | (~v148(constB101)) | (~v164(constB101)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB101) | (~v148(constB101)) | (~v164(constB101)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36420,plain,
% 28.90/19.44 (((~v148(constB101)) | v86(constB101) | (~v164(constB101))) <=> (v86(constB101) | (~v148(constB101)) | (~v164(constB101)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36421,plain,
% 28.90/19.44 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB101)) | v86(constB101) | (~v164(constB101)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | (v86(constB101) | (~v148(constB101)) | (~v164(constB101))))),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36420])).
% 28.90/19.44 tff(36422,plain,
% 28.90/19.44 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB101)) | v86(constB101) | (~v164(constB101)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB101) | (~v148(constB101)) | (~v164(constB101)))),
% 28.90/19.44 inference(transitivity,[status(thm)],[36421, 36419])).
% 28.90/19.44 tff(36423,plain,
% 28.90/19.44 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | ((~v148(constB101)) | v86(constB101) | (~v164(constB101)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36424,plain,
% 28.90/19.44 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v164(VarNext)))) | v86(constB101) | (~v148(constB101)) | (~v164(constB101))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36423, 36422])).
% 28.90/19.44 tff(36425,plain,
% 28.90/19.44 (v86(constB101)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36424, 29550, 36140, 36418])).
% 28.90/19.44 tff(36426,plain,
% 28.90/19.44 ($false),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36425, 36414])).
% 28.90/19.44 tff(36427,plain,(~(constB101 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.44 tff(36428,assumption,(constB64 = sK_VarCurr), introduced(assumption)).
% 28.90/19.44 tff(36429,plain,
% 28.90/19.44 (v1(constB64) <=> v1(sK_VarCurr)),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36428])).
% 28.90/19.44 tff(36430,plain,
% 28.90/19.44 (v1(sK_VarCurr) <=> v1(constB64)),
% 28.90/19.44 inference(symmetry,[status(thm)],[36429])).
% 28.90/19.44 tff(36431,plain,
% 28.90/19.44 ((~v1(sK_VarCurr)) <=> (~v1(constB64))),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36430])).
% 28.90/19.44 tff(36432,plain,
% 28.90/19.44 (~v1(constB64)),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[63, 36431])).
% 28.90/19.44 tff(36433,plain,
% 28.90/19.44 ($false),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[9001, 36432])).
% 28.90/19.44 tff(36434,plain,(~(constB64 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.44 tff(36435,assumption,(constB20 = sK_VarCurr), introduced(assumption)).
% 28.90/19.44 tff(36436,plain,
% 28.90/19.44 (v1(constB20) <=> v1(sK_VarCurr)),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36435])).
% 28.90/19.44 tff(36437,plain,
% 28.90/19.44 (v1(sK_VarCurr) <=> v1(constB20)),
% 28.90/19.44 inference(symmetry,[status(thm)],[36436])).
% 28.90/19.44 tff(36438,plain,
% 28.90/19.44 ((~v1(sK_VarCurr)) <=> (~v1(constB20))),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36437])).
% 28.90/19.44 tff(36439,plain,
% 28.90/19.44 (~v1(constB20)),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[63, 36438])).
% 28.90/19.44 tff(36440,plain,
% 28.90/19.44 ($false),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[2770, 36439])).
% 28.90/19.44 tff(36441,plain,(~(constB20 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.44 tff(36442,assumption,(constB48 = sK_VarCurr), introduced(assumption)).
% 28.90/19.44 tff(36443,plain,
% 28.90/19.44 (v1(constB48) <=> v1(sK_VarCurr)),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36442])).
% 28.90/19.44 tff(36444,plain,
% 28.90/19.44 (v1(sK_VarCurr) <=> v1(constB48)),
% 28.90/19.44 inference(symmetry,[status(thm)],[36443])).
% 28.90/19.44 tff(36445,plain,
% 28.90/19.44 ((~v1(sK_VarCurr)) <=> (~v1(constB48))),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36444])).
% 28.90/19.44 tff(36446,plain,
% 28.90/19.44 (~v1(constB48)),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[63, 36445])).
% 28.90/19.44 tff(36447,plain,
% 28.90/19.44 ($false),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[7182, 36446])).
% 28.90/19.44 tff(36448,plain,(~(constB48 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.44 tff(36449,assumption,(constB170 = sK_VarCurr), introduced(assumption)).
% 28.90/19.44 tff(36450,plain,
% 28.90/19.44 (v1(constB170) <=> v1(sK_VarCurr)),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36449])).
% 28.90/19.44 tff(36451,plain,
% 28.90/19.44 (v1(sK_VarCurr) <=> v1(constB170)),
% 28.90/19.44 inference(symmetry,[status(thm)],[36450])).
% 28.90/19.44 tff(36452,plain,
% 28.90/19.44 ((~v1(sK_VarCurr)) <=> (~v1(constB170))),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36451])).
% 28.90/19.44 tff(36453,plain,
% 28.90/19.44 (~v1(constB170)),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[63, 36452])).
% 28.90/19.44 tff(36454,plain,
% 28.90/19.44 ($false),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[23852, 36453])).
% 28.90/19.44 tff(36455,plain,(~(constB170 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.44 tff(36456,assumption,(constB80 = sK_VarCurr), introduced(assumption)).
% 28.90/19.44 tff(36457,plain,
% 28.90/19.44 (v1(constB80) <=> v1(sK_VarCurr)),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36456])).
% 28.90/19.44 tff(36458,plain,
% 28.90/19.44 (v1(sK_VarCurr) <=> v1(constB80)),
% 28.90/19.44 inference(symmetry,[status(thm)],[36457])).
% 28.90/19.44 tff(36459,plain,
% 28.90/19.44 ((~v1(sK_VarCurr)) <=> (~v1(constB80))),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36458])).
% 28.90/19.44 tff(36460,plain,
% 28.90/19.44 (~v1(constB80)),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[63, 36459])).
% 28.90/19.44 tff(36461,plain,
% 28.90/19.44 ($false),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[10584, 36460])).
% 28.90/19.44 tff(36462,plain,(~(constB80 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.44 tff(36463,assumption,(constB178 = sK_VarCurr), introduced(assumption)).
% 28.90/19.44 tff(36464,plain,
% 28.90/19.44 (v1(constB178) <=> v1(sK_VarCurr)),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36463])).
% 28.90/19.44 tff(36465,plain,
% 28.90/19.44 (v1(sK_VarCurr) <=> v1(constB178)),
% 28.90/19.44 inference(symmetry,[status(thm)],[36464])).
% 28.90/19.44 tff(36466,plain,
% 28.90/19.44 ((~v1(sK_VarCurr)) <=> (~v1(constB178))),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36465])).
% 28.90/19.44 tff(36467,plain,
% 28.90/19.44 (~v1(constB178)),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[63, 36466])).
% 28.90/19.44 tff(36468,plain,
% 28.90/19.44 ($false),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[24683, 36467])).
% 28.90/19.44 tff(36469,plain,(~(constB178 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.44 tff(36470,assumption,(constB43 = sK_VarCurr), introduced(assumption)).
% 28.90/19.44 tff(36471,plain,
% 28.90/19.44 (v180(constB43) <=> v180(sK_VarCurr)),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36470])).
% 28.90/19.44 tff(36472,plain,
% 28.90/19.44 (v180(sK_VarCurr) <=> v180(constB43)),
% 28.90/19.44 inference(symmetry,[status(thm)],[36471])).
% 28.90/19.44 tff(36473,plain,
% 28.90/19.44 (v180(constB43)),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[86, 36472])).
% 28.90/19.44 tff(36474,assumption,(v18(constB42)), introduced(assumption)).
% 28.90/19.44 tff(36475,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB42))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36476,plain,
% 28.90/19.44 ($false),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36475, 27200, 36474])).
% 28.90/19.44 tff(36477,plain,(~v18(constB42)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.44 tff(36478,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB42) | (~v1(constB42)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB42) | (~v1(constB42)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36479,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB42) | (~v1(constB42)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36480,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB42) | (~v1(constB42))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36479, 36478])).
% 28.90/19.44 tff(36481,plain,
% 28.90/19.44 (v22(constB42)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36480, 27216, 6578])).
% 28.90/19.44 tff(36482,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB42) | (~v22(constB42)) | (~v19(constB42)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB42) | (~v22(constB42)) | (~v19(constB42)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36483,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB42) | (~v22(constB42)) | (~v19(constB42)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36484,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB42) | (~v22(constB42)) | (~v19(constB42))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36483, 36482])).
% 28.90/19.44 tff(36485,plain,
% 28.90/19.44 (v18(constB42) | (~v19(constB42))),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36484, 27230, 36481])).
% 28.90/19.44 tff(36486,plain,
% 28.90/19.44 (~v19(constB42)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36485, 36477])).
% 28.90/19.44 tff(36487,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB42) | v19(constB42))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB42) | v19(constB42))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36488,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB42) | v19(constB42))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36489,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB42) | v19(constB42)),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36488, 36487])).
% 28.90/19.44 tff(36490,plain,
% 28.90/19.44 (v13(constB42)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36489, 27242, 36486])).
% 28.90/19.44 tff(36491,plain,
% 28.90/19.44 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB41) | (~v13(constB42)) | (~nextState(constB41, constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB41) | (~v13(constB42)) | (~nextState(constB41, constB42)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36492,plain,
% 28.90/19.44 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB41) | (~v13(constB42)) | (~nextState(constB41, constB42)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36493,plain,
% 28.90/19.44 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB41) | (~v13(constB42)) | (~nextState(constB41, constB42))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36492, 36491])).
% 28.90/19.44 tff(36494,plain,
% 28.90/19.44 (v9(constB41) | (~v13(constB42))),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36493, 27259, 6558])).
% 28.90/19.44 tff(36495,plain,
% 28.90/19.44 (v9(constB41)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36494, 36490])).
% 28.90/19.44 tff(36496,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB41) | (~v9(constB41)) | v184(constB41))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB41) | (~v9(constB41)) | v184(constB41))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36497,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB41) | (~v9(constB41)) | v184(constB41))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36498,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB41) | (~v9(constB41)) | v184(constB41)),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36497, 36496])).
% 28.90/19.44 tff(36499,plain,
% 28.90/19.44 ((~v9(constB41)) | v184(constB41)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36498, 27274, 6417])).
% 28.90/19.44 tff(36500,plain,
% 28.90/19.44 (v184(constB41)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36499, 36495])).
% 28.90/19.44 tff(36501,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB41)) | v183(constB41))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB41)) | v183(constB41))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36502,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB41)) | v183(constB41))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36503,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB41)) | v183(constB41)),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36502, 36501])).
% 28.90/19.44 tff(36504,plain,
% 28.90/19.44 (v183(constB41)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36503, 27286, 36500])).
% 28.90/19.44 tff(36505,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB41)) | (~v183(constB41)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB41)) | (~v183(constB41)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36506,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB41)) | (~v183(constB41)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36507,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB41)) | (~v183(constB41))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36506, 36505])).
% 28.90/19.44 tff(36508,plain,
% 28.90/19.44 (~v181(constB41)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36507, 27300, 36504])).
% 28.90/19.44 tff(36509,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB41)) | (~v88(constB41, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB41)) | (~v88(constB41, 1)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36510,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB41)) | (~v88(constB41, 1)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36511,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB41)) | (~v88(constB41, 1))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36510, 36509])).
% 28.90/19.44 tff(36512,plain,
% 28.90/19.44 (~v139(constB41)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36511, 27117, 29731])).
% 28.90/19.44 tff(36513,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB41)) | (~v88(constB41, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB41)) | (~v88(constB41, 1)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36514,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB41)) | (~v88(constB41, 1)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36515,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB41)) | (~v88(constB41, 1))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36514, 36513])).
% 28.90/19.44 tff(36516,plain,
% 28.90/19.44 (~v140(constB41)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36515, 27128, 29731])).
% 28.90/19.44 tff(36517,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB41) | v140(constB41) | (~v168(constB41)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB41) | v140(constB41) | (~v168(constB41)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36518,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB41) | v140(constB41) | (~v168(constB41)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36519,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB41) | v140(constB41) | (~v168(constB41))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36518, 36517])).
% 28.90/19.44 tff(36520,plain,
% 28.90/19.44 (~v168(constB41)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36519, 27142, 36516, 36512])).
% 28.90/19.44 tff(36521,plain,
% 28.90/19.44 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB41)) | (~v164(constB41)) | v168(constB41))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB41)) | (~v164(constB41)) | v168(constB41))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36522,plain,
% 28.90/19.44 (((~v164(constB41)) | v168(constB41) | (~v161(constB41))) <=> ((~v161(constB41)) | (~v164(constB41)) | v168(constB41))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36523,plain,
% 28.90/19.44 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB41)) | v168(constB41) | (~v161(constB41)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB41)) | (~v164(constB41)) | v168(constB41)))),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36522])).
% 28.90/19.44 tff(36524,plain,
% 28.90/19.44 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB41)) | v168(constB41) | (~v161(constB41)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB41)) | (~v164(constB41)) | v168(constB41))),
% 28.90/19.44 inference(transitivity,[status(thm)],[36523, 36521])).
% 28.90/19.44 tff(36525,plain,
% 28.90/19.44 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB41)) | v168(constB41) | (~v161(constB41)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36526,plain,
% 28.90/19.44 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB41)) | (~v164(constB41)) | v168(constB41)),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36525, 36524])).
% 28.90/19.44 tff(36527,plain,
% 28.90/19.44 ((~v161(constB41)) | (~v164(constB41))),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36526, 27156, 36520])).
% 28.90/19.44 tff(36528,plain,
% 28.90/19.44 (~v161(constB41)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36527, 29754])).
% 28.90/19.44 tff(36529,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB41) | (~v187(constB41)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB41) | (~v187(constB41)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36530,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB41) | (~v187(constB41)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36531,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB41) | (~v187(constB41))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36530, 36529])).
% 28.90/19.44 tff(36532,plain,
% 28.90/19.44 (~v187(constB41)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36531, 27174, 36528])).
% 28.90/19.44 tff(36533,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB41) | (~v185(constB41)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB41) | (~v185(constB41)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36534,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB41) | (~v185(constB41)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36535,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB41) | (~v185(constB41))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36534, 36533])).
% 28.90/19.44 tff(36536,plain,
% 28.90/19.44 (~v185(constB41)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36535, 27188, 36532])).
% 28.90/19.44 tff(36537,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB41) | v185(constB41) | (~v178(constB41)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB41) | v185(constB41) | (~v178(constB41)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36538,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB41) | v185(constB41) | (~v178(constB41)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36539,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB41) | v185(constB41) | (~v178(constB41))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36538, 36537])).
% 28.90/19.44 tff(36540,plain,
% 28.90/19.44 (v181(constB41) | (~v178(constB41))),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36539, 27314, 36536])).
% 28.90/19.44 tff(36541,plain,
% 28.90/19.44 (~v178(constB41)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36540, 36508])).
% 28.90/19.44 tff(36542,plain,
% 28.90/19.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB41, constB42)) | v178(constB41) | (~v180(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB41, constB42)) | v178(constB41) | (~v180(constB42)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36543,plain,
% 28.90/19.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB41, constB42)) | v178(constB41) | (~v180(constB42)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36544,plain,
% 28.90/19.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB41, constB42)) | v178(constB41) | (~v180(constB42))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36543, 36542])).
% 28.90/19.44 tff(36545,plain,
% 28.90/19.44 (v178(constB41) | (~v180(constB42))),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36544, 27329, 6558])).
% 28.90/19.44 tff(36546,plain,
% 28.90/19.44 (~v180(constB42)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36545, 36541])).
% 28.90/19.44 tff(36547,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB42) | (~v181(constB42)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB42) | (~v181(constB42)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36548,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB42) | (~v181(constB42)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36549,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB42) | (~v181(constB42))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36548, 36547])).
% 28.90/19.44 tff(36550,plain,
% 28.90/19.44 (~v181(constB42)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36549, 27344, 36546])).
% 28.90/19.44 tff(36551,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB42)) | (~v184(constB42)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB42)) | (~v184(constB42)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36552,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB42)) | (~v184(constB42)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36553,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB42)) | (~v184(constB42))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36552, 36551])).
% 28.90/19.44 tff(36554,plain,
% 28.90/19.44 (~v184(constB42)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36553, 59, 6578])).
% 28.90/19.44 tff(36555,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB42) | (~v187(constB42)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB42) | (~v187(constB42)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36556,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB42) | (~v187(constB42)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36557,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB42) | (~v187(constB42))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36556, 36555])).
% 28.90/19.44 tff(36558,plain,
% 28.90/19.44 (~v187(constB42)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36557, 27362, 36554])).
% 28.90/19.44 tff(36559,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB42) | (~v185(constB42)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB42) | (~v185(constB42)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36560,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB42) | (~v185(constB42)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36561,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB42) | (~v185(constB42))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36560, 36559])).
% 28.90/19.44 tff(36562,plain,
% 28.90/19.44 (~v185(constB42)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36561, 27188, 36558])).
% 28.90/19.44 tff(36563,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB42) | v185(constB42) | (~v178(constB42)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB42) | v185(constB42) | (~v178(constB42)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36564,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB42) | v185(constB42) | (~v178(constB42)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36565,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB42) | v185(constB42) | (~v178(constB42))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36564, 36563])).
% 28.90/19.44 tff(36566,plain,
% 28.90/19.44 (v181(constB42) | (~v178(constB42))),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36565, 27314, 36562])).
% 28.90/19.44 tff(36567,plain,
% 28.90/19.44 (~v178(constB42)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36566, 36550])).
% 28.90/19.44 tff(36568,plain,
% 28.90/19.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB42, constB43)) | v178(constB42) | (~v180(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB42, constB43)) | v178(constB42) | (~v180(constB43)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36569,plain,
% 28.90/19.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB42, constB43)) | v178(constB42) | (~v180(constB43)))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36570,plain,
% 28.90/19.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB42, constB43)) | v178(constB42) | (~v180(constB43))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36569, 36568])).
% 28.90/19.44 tff(36571,plain,
% 28.90/19.44 (v178(constB42) | (~v180(constB43))),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36570, 27329, 6620])).
% 28.90/19.44 tff(36572,plain,
% 28.90/19.44 (~v180(constB43)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36571, 36567])).
% 28.90/19.44 tff(36573,plain,
% 28.90/19.44 ($false),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36572, 36473])).
% 28.90/19.44 tff(36574,plain,(~(constB43 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.44 tff(36575,assumption,(constB3 = sK_VarCurr), introduced(assumption)).
% 28.90/19.44 tff(36576,plain,
% 28.90/19.44 (v180(constB3) <=> v180(sK_VarCurr)),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36575])).
% 28.90/19.44 tff(36577,plain,
% 28.90/19.44 (v180(sK_VarCurr) <=> v180(constB3)),
% 28.90/19.44 inference(symmetry,[status(thm)],[36576])).
% 28.90/19.44 tff(36578,plain,
% 28.90/19.44 (v180(constB3)),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[86, 36577])).
% 28.90/19.44 tff(36579,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB1, 2)) | v90(constB1, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB1, 2)) | v90(constB1, 2))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36580,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB1, 2)) | v90(constB1, 2))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36581,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB1, 2)) | v90(constB1, 2)),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36580, 36579])).
% 28.90/19.44 tff(36582,plain,
% 28.90/19.44 (~v88(constB1, 2)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36581, 27032, 181])).
% 28.90/19.44 tff(36583,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB1, 1)) | v90(constB1, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB1, 1)) | v90(constB1, 1))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36584,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB1, 1)) | v90(constB1, 1))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36585,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB1, 1)) | v90(constB1, 1)),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36584, 36583])).
% 28.90/19.44 tff(36586,plain,
% 28.90/19.44 (~v88(constB1, 1)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36585, 27717, 202])).
% 28.90/19.44 tff(36587,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB1, 0)) | v90(constB1, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB1, 0)) | v90(constB1, 0))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36588,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB1, 0)) | v90(constB1, 0))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36589,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB1, 0)) | v90(constB1, 0)),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36588, 36587])).
% 28.90/19.44 tff(36590,plain,
% 28.90/19.44 (~v88(constB1, 0)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36589, 26990, 223])).
% 28.90/19.44 tff(36591,plain,
% 28.90/19.44 (^[VarCurr: state_type] : refl((v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr)) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr)))),
% 28.90/19.44 inference(bind,[status(th)],[])).
% 28.90/19.44 tff(36592,plain,
% 28.90/19.44 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 28.90/19.44 inference(quant_intro,[status(thm)],[36591])).
% 28.90/19.44 tff(36593,plain,
% 28.90/19.44 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36594,plain,
% 28.90/19.44 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v88(VarCurr, 0) | v88(VarCurr, 1)) | v88(VarCurr, 2)) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0))), ((((v88(VarCurr, 0) | v88(VarCurr, 1)) | v88(VarCurr, 2)) | v139(VarCurr)) <=> ((v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0)) | v139(VarCurr)))), rewrite(((v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0)) | v139(VarCurr)) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))), ((((v88(VarCurr, 0) | v88(VarCurr, 1)) | v88(VarCurr, 2)) | v139(VarCurr)) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))))),
% 28.90/19.44 inference(bind,[status(th)],[])).
% 28.90/19.44 tff(36595,plain,
% 28.90/19.44 (![VarCurr: state_type] : (((v88(VarCurr, 0) | v88(VarCurr, 1)) | v88(VarCurr, 2)) | v139(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 28.90/19.44 inference(quant_intro,[status(thm)],[36594])).
% 28.90/19.44 tff(36596,axiom,(![VarCurr: state_type] : (((v88(VarCurr, 0) | v88(VarCurr, 1)) | v88(VarCurr, 2)) | v139(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_1')).
% 28.90/19.44 tff(36597,plain,
% 28.90/19.44 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36596, 36595])).
% 28.90/19.44 tff(36598,plain,
% 28.90/19.44 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36597, 36593])).
% 28.90/19.44 tff(36599,plain,(
% 28.90/19.44 ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 28.90/19.44 inference(skolemize,[status(sab)],[36598])).
% 28.90/19.44 tff(36600,plain,
% 28.90/19.44 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36599, 36592])).
% 28.90/19.44 tff(36601,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | (v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2) | v139(constB1))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2) | v139(constB1))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36602,plain,
% 28.90/19.44 ((v88(constB1, 2) | v88(constB1, 1) | v88(constB1, 0) | v139(constB1)) <=> (v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2) | v139(constB1))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36603,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | (v88(constB1, 2) | v88(constB1, 1) | v88(constB1, 0) | v139(constB1))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | (v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2) | v139(constB1)))),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36602])).
% 28.90/19.44 tff(36604,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | (v88(constB1, 2) | v88(constB1, 1) | v88(constB1, 0) | v139(constB1))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2) | v139(constB1))),
% 28.90/19.44 inference(transitivity,[status(thm)],[36603, 36601])).
% 28.90/19.44 tff(36605,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | (v88(constB1, 2) | v88(constB1, 1) | v88(constB1, 0) | v139(constB1))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36606,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2) | v139(constB1)),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36605, 36604])).
% 28.90/19.44 tff(36607,plain,
% 28.90/19.44 (v139(constB1)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36606, 36600, 36590, 36586, 36582])).
% 28.90/19.44 tff(36608,plain,
% 28.90/19.44 (^[VarCurr: state_type] : refl(((~v139(VarCurr)) | v167(VarCurr)) <=> ((~v139(VarCurr)) | v167(VarCurr)))),
% 28.90/19.44 inference(bind,[status(th)],[])).
% 28.90/19.44 tff(36609,plain,
% 28.90/19.44 (![VarCurr: state_type] : ((~v139(VarCurr)) | v167(VarCurr)) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | v167(VarCurr))),
% 28.90/19.44 inference(quant_intro,[status(thm)],[36608])).
% 28.90/19.44 tff(36610,plain,
% 28.90/19.44 (![VarCurr: state_type] : ((~v139(VarCurr)) | v167(VarCurr)) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | v167(VarCurr))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36611,axiom,(![VarCurr: state_type] : ((~v139(VarCurr)) | v167(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_36_1_2')).
% 28.90/19.44 tff(36612,plain,
% 28.90/19.44 (![VarCurr: state_type] : ((~v139(VarCurr)) | v167(VarCurr))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36611, 36610])).
% 28.90/19.44 tff(36613,plain,(
% 28.90/19.44 ![VarCurr: state_type] : ((~v139(VarCurr)) | v167(VarCurr))),
% 28.90/19.44 inference(skolemize,[status(sab)],[36612])).
% 28.90/19.44 tff(36614,plain,
% 28.90/19.44 (![VarCurr: state_type] : ((~v139(VarCurr)) | v167(VarCurr))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36613, 36609])).
% 28.90/19.44 tff(36615,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | v167(VarCurr))) | (v167(constB1) | (~v139(constB1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v167(VarCurr))) | v167(constB1) | (~v139(constB1)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36616,plain,
% 28.90/19.44 (((~v139(constB1)) | v167(constB1)) <=> (v167(constB1) | (~v139(constB1)))),
% 28.90/19.44 inference(rewrite,[status(thm)],[])).
% 28.90/19.44 tff(36617,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | v167(VarCurr))) | ((~v139(constB1)) | v167(constB1))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v167(VarCurr))) | (v167(constB1) | (~v139(constB1))))),
% 28.90/19.44 inference(monotonicity,[status(thm)],[36616])).
% 28.90/19.44 tff(36618,plain,
% 28.90/19.44 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | v167(VarCurr))) | ((~v139(constB1)) | v167(constB1))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v167(VarCurr))) | v167(constB1) | (~v139(constB1)))),
% 28.90/19.44 inference(transitivity,[status(thm)],[36617, 36615])).
% 28.90/19.44 tff(36619,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v167(VarCurr))) | ((~v139(constB1)) | v167(constB1))),
% 28.90/19.44 inference(quant_inst,[status(thm)],[])).
% 28.90/19.44 tff(36620,plain,
% 28.90/19.44 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v167(VarCurr))) | v167(constB1) | (~v139(constB1))),
% 28.90/19.44 inference(modus_ponens,[status(thm)],[36619, 36618])).
% 28.90/19.44 tff(36621,plain,
% 28.90/19.44 (v167(constB1)),
% 28.90/19.44 inference(unit_resolution,[status(thm)],[36620, 36614, 36607])).
% 28.90/19.44 tff(36622,plain,
% 28.90/19.44 (^[VarCurr: state_type] : refl((v166(VarCurr) | (~v167(VarCurr))) <=> (v166(VarCurr) | (~v167(VarCurr))))),
% 28.90/19.44 inference(bind,[status(th)],[])).
% 28.90/19.44 tff(36623,plain,
% 28.90/19.44 (![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr))) <=> ![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 28.90/19.44 inference(quant_intro,[status(thm)],[36622])).
% 28.90/19.44 tff(36624,plain,
% 28.90/19.44 (![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr))) <=> ![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36625,plain,
% 28.90/19.45 (^[VarCurr: state_type] : rewrite(((~v167(VarCurr)) | v166(VarCurr)) <=> (v166(VarCurr) | (~v167(VarCurr))))),
% 28.90/19.45 inference(bind,[status(th)],[])).
% 28.90/19.45 tff(36626,plain,
% 28.90/19.45 (![VarCurr: state_type] : ((~v167(VarCurr)) | v166(VarCurr)) <=> ![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 28.90/19.45 inference(quant_intro,[status(thm)],[36625])).
% 28.90/19.45 tff(36627,axiom,(![VarCurr: state_type] : ((~v167(VarCurr)) | v166(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_37_1_1_1')).
% 28.90/19.45 tff(36628,plain,
% 28.90/19.45 (![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36627, 36626])).
% 28.90/19.45 tff(36629,plain,
% 28.90/19.45 (![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36628, 36624])).
% 28.90/19.45 tff(36630,plain,(
% 28.90/19.45 ![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 28.90/19.45 inference(skolemize,[status(sab)],[36629])).
% 28.90/19.45 tff(36631,plain,
% 28.90/19.45 (![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36630, 36623])).
% 28.90/19.45 tff(36632,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB1) | (~v167(constB1)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB1) | (~v167(constB1)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36633,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB1) | (~v167(constB1)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36634,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB1) | (~v167(constB1))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36633, 36632])).
% 28.90/19.45 tff(36635,plain,
% 28.90/19.45 (v166(constB1)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36634, 36631, 36621])).
% 28.90/19.45 tff(36636,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB1)) | v165(constB1))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (~v166(constB1)) | v165(constB1))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36637,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB1)) | v165(constB1))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36638,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (~v166(constB1)) | v165(constB1)),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36637, 36636])).
% 28.90/19.45 tff(36639,plain,
% 28.90/19.45 (v165(constB1)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36638, 28782, 36635])).
% 28.90/19.45 tff(36640,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB1) | (~v165(constB1)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB1) | (~v165(constB1)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36641,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB1) | (~v165(constB1)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36642,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB1) | (~v165(constB1))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36641, 36640])).
% 28.90/19.45 tff(36643,plain,
% 28.90/19.45 (v164(constB1)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36642, 27089, 36639])).
% 28.90/19.45 tff(36644,plain,
% 28.90/19.45 (^[VarCurr: state_type] : refl(((~v139(VarCurr)) | (~v168(VarCurr))) <=> ((~v139(VarCurr)) | (~v168(VarCurr))))),
% 28.90/19.45 inference(bind,[status(th)],[])).
% 28.90/19.45 tff(36645,plain,
% 28.90/19.45 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v168(VarCurr))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v168(VarCurr)))),
% 28.90/19.45 inference(quant_intro,[status(thm)],[36644])).
% 28.90/19.45 tff(36646,plain,
% 28.90/19.45 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v168(VarCurr))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v168(VarCurr)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36647,axiom,(![VarCurr: state_type] : ((~v139(VarCurr)) | (~v168(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_3_1_1')).
% 28.90/19.45 tff(36648,plain,
% 28.90/19.45 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v168(VarCurr)))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36647, 36646])).
% 28.90/19.45 tff(36649,plain,(
% 28.90/19.45 ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v168(VarCurr)))),
% 28.90/19.45 inference(skolemize,[status(sab)],[36648])).
% 28.90/19.45 tff(36650,plain,
% 28.90/19.45 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v168(VarCurr)))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36649, 36645])).
% 28.90/19.45 tff(36651,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v168(VarCurr)))) | ((~v139(constB1)) | (~v168(constB1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v168(VarCurr)))) | (~v139(constB1)) | (~v168(constB1)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36652,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v168(VarCurr)))) | ((~v139(constB1)) | (~v168(constB1)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36653,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v168(VarCurr)))) | (~v139(constB1)) | (~v168(constB1))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36652, 36651])).
% 28.90/19.45 tff(36654,plain,
% 28.90/19.45 (~v168(constB1)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36653, 36650, 36607])).
% 28.90/19.45 tff(36655,plain,
% 28.90/19.45 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB1)) | v168(constB1) | (~v164(constB1)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB1)) | v168(constB1) | (~v164(constB1)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36656,plain,
% 28.90/19.45 (((~v164(constB1)) | v168(constB1) | (~v161(constB1))) <=> ((~v161(constB1)) | v168(constB1) | (~v164(constB1)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36657,plain,
% 28.90/19.45 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB1)) | v168(constB1) | (~v161(constB1)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB1)) | v168(constB1) | (~v164(constB1))))),
% 28.90/19.45 inference(monotonicity,[status(thm)],[36656])).
% 28.90/19.45 tff(36658,plain,
% 28.90/19.45 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB1)) | v168(constB1) | (~v161(constB1)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB1)) | v168(constB1) | (~v164(constB1)))),
% 28.90/19.45 inference(transitivity,[status(thm)],[36657, 36655])).
% 28.90/19.45 tff(36659,plain,
% 28.90/19.45 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB1)) | v168(constB1) | (~v161(constB1)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36660,plain,
% 28.90/19.45 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB1)) | v168(constB1) | (~v164(constB1))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36659, 36658])).
% 28.90/19.45 tff(36661,plain,
% 28.90/19.45 ((~v161(constB1)) | (~v164(constB1))),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36660, 27156, 36654])).
% 28.90/19.45 tff(36662,plain,
% 28.90/19.45 (~v161(constB1)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36661, 36643])).
% 28.90/19.45 tff(36663,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB1) | (~v187(constB1)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB1) | (~v187(constB1)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36664,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB1) | (~v187(constB1)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36665,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB1) | (~v187(constB1))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36664, 36663])).
% 28.90/19.45 tff(36666,plain,
% 28.90/19.45 (~v187(constB1)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36665, 27174, 36662])).
% 28.90/19.45 tff(36667,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB1) | (~v185(constB1)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB1) | (~v185(constB1)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36668,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB1) | (~v185(constB1)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36669,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB1) | (~v185(constB1))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36668, 36667])).
% 28.90/19.45 tff(36670,plain,
% 28.90/19.45 (~v185(constB1)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36669, 27188, 36666])).
% 28.90/19.45 tff(36671,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB1) | (~v181(constB1)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB1) | (~v181(constB1)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36672,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB1) | (~v181(constB1)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36673,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB1) | (~v181(constB1))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36672, 36671])).
% 28.90/19.45 tff(36674,plain,
% 28.90/19.45 (~v181(constB1)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36673, 27344, 34049])).
% 28.90/19.45 tff(36675,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB1) | v185(constB1) | (~v178(constB1)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB1) | v185(constB1) | (~v178(constB1)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36676,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB1) | v185(constB1) | (~v178(constB1)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36677,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB1) | v185(constB1) | (~v178(constB1))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36676, 36675])).
% 28.90/19.45 tff(36678,plain,
% 28.90/19.45 (v185(constB1) | (~v178(constB1))),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36677, 27314, 36674])).
% 28.90/19.45 tff(36679,plain,
% 28.90/19.45 (~v178(constB1)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36678, 36670])).
% 28.90/19.45 tff(36680,plain,
% 28.90/19.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB1, constB2)) | v178(constB1) | (~v180(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB1, constB2)) | v178(constB1) | (~v180(constB2)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36681,plain,
% 28.90/19.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB1, constB2)) | v178(constB1) | (~v180(constB2)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36682,plain,
% 28.90/19.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB1, constB2)) | v178(constB1) | (~v180(constB2))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36681, 36680])).
% 28.90/19.45 tff(36683,plain,
% 28.90/19.45 (v178(constB1) | (~v180(constB2))),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36682, 27329, 350])).
% 28.90/19.45 tff(36684,plain,
% 28.90/19.45 (~v180(constB2)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36683, 36679])).
% 28.90/19.45 tff(36685,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB2) | (~v181(constB2)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB2) | (~v181(constB2)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36686,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB2) | (~v181(constB2)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36687,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB2) | (~v181(constB2))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36686, 36685])).
% 28.90/19.45 tff(36688,plain,
% 28.90/19.45 (~v181(constB2)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36687, 27344, 36684])).
% 28.90/19.45 tff(36689,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB2)) | (~v184(constB2)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB2)) | (~v184(constB2)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36690,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB2)) | (~v184(constB2)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36691,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB2)) | (~v184(constB2))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36690, 36689])).
% 28.90/19.45 tff(36692,plain,
% 28.90/19.45 (~v184(constB2)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36691, 59, 400])).
% 28.90/19.45 tff(36693,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB2) | (~v187(constB2)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB2) | (~v187(constB2)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36694,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB2) | (~v187(constB2)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36695,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB2) | (~v187(constB2))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36694, 36693])).
% 28.90/19.45 tff(36696,plain,
% 28.90/19.45 (~v187(constB2)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36695, 27362, 36692])).
% 28.90/19.45 tff(36697,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB2) | (~v185(constB2)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB2) | (~v185(constB2)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36698,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB2) | (~v185(constB2)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36699,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB2) | (~v185(constB2))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36698, 36697])).
% 28.90/19.45 tff(36700,plain,
% 28.90/19.45 (~v185(constB2)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36699, 27188, 36696])).
% 28.90/19.45 tff(36701,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB2) | v185(constB2) | (~v178(constB2)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB2) | v185(constB2) | (~v178(constB2)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36702,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB2) | v185(constB2) | (~v178(constB2)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36703,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB2) | v185(constB2) | (~v178(constB2))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36702, 36701])).
% 28.90/19.45 tff(36704,plain,
% 28.90/19.45 (v181(constB2) | (~v178(constB2))),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36703, 27314, 36700])).
% 28.90/19.45 tff(36705,plain,
% 28.90/19.45 (~v178(constB2)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36704, 36688])).
% 28.90/19.45 tff(36706,plain,
% 28.90/19.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB2, constB3)) | v178(constB2) | (~v180(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB2, constB3)) | v178(constB2) | (~v180(constB3)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36707,plain,
% 28.90/19.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB2, constB3)) | v178(constB2) | (~v180(constB3)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36708,plain,
% 28.90/19.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB2, constB3)) | v178(constB2) | (~v180(constB3))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36707, 36706])).
% 28.90/19.45 tff(36709,plain,
% 28.90/19.45 (v178(constB2) | (~v180(constB3))),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36708, 27329, 499])).
% 28.90/19.45 tff(36710,plain,
% 28.90/19.45 (~v180(constB3)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36709, 36705])).
% 28.90/19.45 tff(36711,plain,
% 28.90/19.45 ($false),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36710, 36578])).
% 28.90/19.45 tff(36712,plain,(~(constB3 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.45 tff(36713,assumption,(constB154 = sK_VarCurr), introduced(assumption)).
% 28.90/19.45 tff(36714,plain,
% 28.90/19.45 (v1(constB154) <=> v1(sK_VarCurr)),
% 28.90/19.45 inference(monotonicity,[status(thm)],[36713])).
% 28.90/19.45 tff(36715,plain,
% 28.90/19.45 (v1(sK_VarCurr) <=> v1(constB154)),
% 28.90/19.45 inference(symmetry,[status(thm)],[36714])).
% 28.90/19.45 tff(36716,plain,
% 28.90/19.45 ((~v1(sK_VarCurr)) <=> (~v1(constB154))),
% 28.90/19.45 inference(monotonicity,[status(thm)],[36715])).
% 28.90/19.45 tff(36717,plain,
% 28.90/19.45 (~v1(constB154)),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[63, 36716])).
% 28.90/19.45 tff(36718,plain,
% 28.90/19.45 ($false),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[22229, 36717])).
% 28.90/19.45 tff(36719,plain,(~(constB154 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.45 tff(36720,assumption,(constB73 = sK_VarCurr), introduced(assumption)).
% 28.90/19.45 tff(36721,plain,
% 28.90/19.45 (v180(constB73) <=> v180(sK_VarCurr)),
% 28.90/19.45 inference(monotonicity,[status(thm)],[36720])).
% 28.90/19.45 tff(36722,plain,
% 28.90/19.45 (v180(sK_VarCurr) <=> v180(constB73)),
% 28.90/19.45 inference(symmetry,[status(thm)],[36721])).
% 28.90/19.45 tff(36723,plain,
% 28.90/19.45 (v180(constB73)),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[86, 36722])).
% 28.90/19.45 tff(36724,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB71, 2)) | v88(constB71, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB71, 2)) | v88(constB71, 2))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36725,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB71, 2)) | v88(constB71, 2))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36726,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB71, 2)) | v88(constB71, 2)),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36725, 36724])).
% 28.90/19.45 tff(36727,plain,
% 28.90/19.45 (v88(constB71, 2)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36726, 27680, 9656])).
% 28.90/19.45 tff(36728,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB71)) | (~v88(constB71, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB71)) | (~v88(constB71, 2)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36729,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB71)) | (~v88(constB71, 2)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36730,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB71)) | (~v88(constB71, 2))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36729, 36728])).
% 28.90/19.45 tff(36731,plain,
% 28.90/19.45 (~v140(constB71)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36730, 27702, 36727])).
% 28.90/19.45 tff(36732,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB71, 0)) | v88(constB71, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB71, 0)) | v88(constB71, 0))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36733,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB71, 0)) | v88(constB71, 0))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36734,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB71, 0)) | v88(constB71, 0)),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36733, 36732])).
% 28.90/19.45 tff(36735,plain,
% 28.90/19.45 (v88(constB71, 0)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36734, 27874, 9721])).
% 28.90/19.45 tff(36736,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB71)) | (~v88(constB71, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB71)) | (~v88(constB71, 0)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36737,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB71)) | (~v88(constB71, 0)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36738,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB71)) | (~v88(constB71, 0))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36737, 36736])).
% 28.90/19.45 tff(36739,plain,
% 28.90/19.45 (~v139(constB71)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36738, 27885, 36735])).
% 28.90/19.45 tff(36740,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB71) | v140(constB71) | (~v168(constB71)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB71) | v140(constB71) | (~v168(constB71)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36741,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB71) | v140(constB71) | (~v168(constB71)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36742,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB71) | v140(constB71) | (~v168(constB71))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36741, 36740])).
% 28.90/19.45 tff(36743,plain,
% 28.90/19.45 (~v168(constB71)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36742, 27142, 36739, 36731])).
% 28.90/19.45 tff(36744,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB71, 1)) | v90(constB71, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB71, 1)) | v90(constB71, 1))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36745,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB71, 1)) | v90(constB71, 1))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36746,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB71, 1)) | v90(constB71, 1)),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36745, 36744])).
% 28.90/19.45 tff(36747,plain,
% 28.90/19.45 (~v88(constB71, 1)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36746, 27717, 9690])).
% 28.90/19.45 tff(36748,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB71, 0)) | v147(constB71) | (~v88(constB71, 2)) | v88(constB71, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB71, 0)) | v147(constB71) | (~v88(constB71, 2)) | v88(constB71, 1))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36749,plain,
% 28.90/19.45 (((~v88(constB71, 2)) | v88(constB71, 1) | (~v88(constB71, 0)) | v147(constB71)) <=> ((~v88(constB71, 0)) | v147(constB71) | (~v88(constB71, 2)) | v88(constB71, 1))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36750,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB71, 2)) | v88(constB71, 1) | (~v88(constB71, 0)) | v147(constB71))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB71, 0)) | v147(constB71) | (~v88(constB71, 2)) | v88(constB71, 1)))),
% 28.90/19.45 inference(monotonicity,[status(thm)],[36749])).
% 28.90/19.45 tff(36751,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB71, 2)) | v88(constB71, 1) | (~v88(constB71, 0)) | v147(constB71))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB71, 0)) | v147(constB71) | (~v88(constB71, 2)) | v88(constB71, 1))),
% 28.90/19.45 inference(transitivity,[status(thm)],[36750, 36748])).
% 28.90/19.45 tff(36752,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB71, 2)) | v88(constB71, 1) | (~v88(constB71, 0)) | v147(constB71))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36753,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB71, 0)) | v147(constB71) | (~v88(constB71, 2)) | v88(constB71, 1)),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36752, 36751])).
% 28.90/19.45 tff(36754,plain,
% 28.90/19.45 (v147(constB71)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36753, 27907, 36735, 36727, 36747])).
% 28.90/19.45 tff(36755,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB71)) | v145(constB71))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB71)) | v145(constB71))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36756,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB71)) | v145(constB71))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36757,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB71)) | v145(constB71)),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36756, 36755])).
% 28.90/19.45 tff(36758,plain,
% 28.90/19.45 (v145(constB71)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36757, 27921, 36754])).
% 28.90/19.45 tff(36759,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB71) | (~v145(constB71)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB71) | (~v145(constB71)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36760,plain,
% 28.90/19.45 (((~v145(constB71)) | v164(constB71)) <=> (v164(constB71) | (~v145(constB71)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36761,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB71)) | v164(constB71))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB71) | (~v145(constB71))))),
% 28.90/19.45 inference(monotonicity,[status(thm)],[36760])).
% 28.90/19.45 tff(36762,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB71)) | v164(constB71))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB71) | (~v145(constB71)))),
% 28.90/19.45 inference(transitivity,[status(thm)],[36761, 36759])).
% 28.90/19.45 tff(36763,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB71)) | v164(constB71))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36764,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB71) | (~v145(constB71))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36763, 36762])).
% 28.90/19.45 tff(36765,plain,
% 28.90/19.45 (v164(constB71)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36764, 27760, 36758])).
% 28.90/19.45 tff(36766,plain,
% 28.90/19.45 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB71)) | v168(constB71) | (~v164(constB71)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB71)) | v168(constB71) | (~v164(constB71)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36767,plain,
% 28.90/19.45 (((~v164(constB71)) | v168(constB71) | (~v161(constB71))) <=> ((~v161(constB71)) | v168(constB71) | (~v164(constB71)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36768,plain,
% 28.90/19.45 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB71)) | v168(constB71) | (~v161(constB71)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB71)) | v168(constB71) | (~v164(constB71))))),
% 28.90/19.45 inference(monotonicity,[status(thm)],[36767])).
% 28.90/19.45 tff(36769,plain,
% 28.90/19.45 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB71)) | v168(constB71) | (~v161(constB71)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB71)) | v168(constB71) | (~v164(constB71)))),
% 28.90/19.45 inference(transitivity,[status(thm)],[36768, 36766])).
% 28.90/19.45 tff(36770,plain,
% 28.90/19.45 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB71)) | v168(constB71) | (~v161(constB71)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36771,plain,
% 28.90/19.45 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB71)) | v168(constB71) | (~v164(constB71))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36770, 36769])).
% 28.90/19.45 tff(36772,plain,
% 28.90/19.45 (~v161(constB71)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36771, 27156, 36765, 36743])).
% 28.90/19.45 tff(36773,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB71) | (~v187(constB71)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB71) | (~v187(constB71)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36774,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB71) | (~v187(constB71)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36775,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB71) | (~v187(constB71))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36774, 36773])).
% 28.90/19.45 tff(36776,plain,
% 28.90/19.45 (~v187(constB71)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36775, 27174, 36772])).
% 28.90/19.45 tff(36777,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB71) | (~v185(constB71)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB71) | (~v185(constB71)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36778,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB71) | (~v185(constB71)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36779,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB71) | (~v185(constB71))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36778, 36777])).
% 28.90/19.45 tff(36780,plain,
% 28.90/19.45 (~v185(constB71)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36779, 27188, 36776])).
% 28.90/19.45 tff(36781,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB71) | (~v181(constB71)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB71) | (~v181(constB71)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36782,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB71) | (~v181(constB71)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36783,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB71) | (~v181(constB71))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36782, 36781])).
% 28.90/19.45 tff(36784,plain,
% 28.90/19.45 (~v181(constB71)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36783, 27344, 27853])).
% 28.90/19.45 tff(36785,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB71) | v185(constB71) | (~v178(constB71)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB71) | v185(constB71) | (~v178(constB71)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36786,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB71) | v185(constB71) | (~v178(constB71)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36787,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB71) | v185(constB71) | (~v178(constB71))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36786, 36785])).
% 28.90/19.45 tff(36788,plain,
% 28.90/19.45 (v185(constB71) | (~v178(constB71))),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36787, 27314, 36784])).
% 28.90/19.45 tff(36789,plain,
% 28.90/19.45 (~v178(constB71)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36788, 36780])).
% 28.90/19.45 tff(36790,plain,
% 28.90/19.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB71, constB72)) | v178(constB71) | (~v180(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB71, constB72)) | v178(constB71) | (~v180(constB72)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36791,plain,
% 28.90/19.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB71, constB72)) | v178(constB71) | (~v180(constB72)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36792,plain,
% 28.90/19.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB71, constB72)) | v178(constB71) | (~v180(constB72))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36791, 36790])).
% 28.90/19.45 tff(36793,plain,
% 28.90/19.45 (v178(constB71) | (~v180(constB72))),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36792, 27329, 9759])).
% 28.90/19.45 tff(36794,plain,
% 28.90/19.45 (~v180(constB72)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36793, 36789])).
% 28.90/19.45 tff(36795,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB72) | (~v181(constB72)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB72) | (~v181(constB72)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36796,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB72) | (~v181(constB72)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36797,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB72) | (~v181(constB72))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36796, 36795])).
% 28.90/19.45 tff(36798,plain,
% 28.90/19.45 (~v181(constB72)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36797, 27344, 36794])).
% 28.90/19.45 tff(36799,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB72)) | (~v184(constB72)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB72)) | (~v184(constB72)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36800,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB72)) | (~v184(constB72)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36801,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB72)) | (~v184(constB72))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36800, 36799])).
% 28.90/19.45 tff(36802,plain,
% 28.90/19.45 (~v184(constB72)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36801, 59, 9779])).
% 28.90/19.45 tff(36803,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB72) | (~v187(constB72)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB72) | (~v187(constB72)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36804,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB72) | (~v187(constB72)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36805,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB72) | (~v187(constB72))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36804, 36803])).
% 28.90/19.45 tff(36806,plain,
% 28.90/19.45 (~v187(constB72)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36805, 27362, 36802])).
% 28.90/19.45 tff(36807,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB72) | (~v185(constB72)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB72) | (~v185(constB72)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36808,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB72) | (~v185(constB72)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36809,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB72) | (~v185(constB72))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36808, 36807])).
% 28.90/19.45 tff(36810,plain,
% 28.90/19.45 (~v185(constB72)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36809, 27188, 36806])).
% 28.90/19.45 tff(36811,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB72) | v185(constB72) | (~v178(constB72)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB72) | v185(constB72) | (~v178(constB72)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36812,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB72) | v185(constB72) | (~v178(constB72)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36813,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB72) | v185(constB72) | (~v178(constB72))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36812, 36811])).
% 28.90/19.45 tff(36814,plain,
% 28.90/19.45 (v181(constB72) | (~v178(constB72))),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36813, 27314, 36810])).
% 28.90/19.45 tff(36815,plain,
% 28.90/19.45 (~v178(constB72)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36814, 36798])).
% 28.90/19.45 tff(36816,plain,
% 28.90/19.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB72, constB73)) | v178(constB72) | (~v180(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB72, constB73)) | v178(constB72) | (~v180(constB73)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36817,plain,
% 28.90/19.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB72, constB73)) | v178(constB72) | (~v180(constB73)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36818,plain,
% 28.90/19.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB72, constB73)) | v178(constB72) | (~v180(constB73))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36817, 36816])).
% 28.90/19.45 tff(36819,plain,
% 28.90/19.45 (v178(constB72) | (~v180(constB73))),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36818, 27329, 9825])).
% 28.90/19.45 tff(36820,plain,
% 28.90/19.45 (~v180(constB73)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36819, 36815])).
% 28.90/19.45 tff(36821,plain,
% 28.90/19.45 ($false),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36820, 36723])).
% 28.90/19.45 tff(36822,plain,(~(constB73 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.45 tff(36823,assumption,(constB82 = sK_VarCurr), introduced(assumption)).
% 28.90/19.45 tff(36824,plain,
% 28.90/19.45 (v1(constB82) <=> v1(sK_VarCurr)),
% 28.90/19.45 inference(monotonicity,[status(thm)],[36823])).
% 28.90/19.45 tff(36825,plain,
% 28.90/19.45 (v1(sK_VarCurr) <=> v1(constB82)),
% 28.90/19.45 inference(symmetry,[status(thm)],[36824])).
% 28.90/19.45 tff(36826,plain,
% 28.90/19.45 ((~v1(sK_VarCurr)) <=> (~v1(constB82))),
% 28.90/19.45 inference(monotonicity,[status(thm)],[36825])).
% 28.90/19.45 tff(36827,plain,
% 28.90/19.45 (~v1(constB82)),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[63, 36826])).
% 28.90/19.45 tff(36828,plain,
% 28.90/19.45 ($false),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[10772, 36827])).
% 28.90/19.45 tff(36829,plain,(~(constB82 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.45 tff(36830,assumption,(constB120 = sK_VarCurr), introduced(assumption)).
% 28.90/19.45 tff(36831,plain,
% 28.90/19.45 (v1(constB120) <=> v1(sK_VarCurr)),
% 28.90/19.45 inference(monotonicity,[status(thm)],[36830])).
% 28.90/19.45 tff(36832,plain,
% 28.90/19.45 (v1(sK_VarCurr) <=> v1(constB120)),
% 28.90/19.45 inference(symmetry,[status(thm)],[36831])).
% 28.90/19.45 tff(36833,plain,
% 28.90/19.45 ((~v1(sK_VarCurr)) <=> (~v1(constB120))),
% 28.90/19.45 inference(monotonicity,[status(thm)],[36832])).
% 28.90/19.45 tff(36834,plain,
% 28.90/19.45 (~v1(constB120)),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[63, 36833])).
% 28.90/19.45 tff(36835,plain,
% 28.90/19.45 ($false),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[16021, 36834])).
% 28.90/19.45 tff(36836,plain,(~(constB120 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.45 tff(36837,assumption,(constB124 = sK_VarCurr), introduced(assumption)).
% 28.90/19.45 tff(36838,plain,
% 28.90/19.45 (v1(constB124) <=> v1(sK_VarCurr)),
% 28.90/19.45 inference(monotonicity,[status(thm)],[36837])).
% 28.90/19.45 tff(36839,plain,
% 28.90/19.45 (v1(sK_VarCurr) <=> v1(constB124)),
% 28.90/19.45 inference(symmetry,[status(thm)],[36838])).
% 28.90/19.45 tff(36840,plain,
% 28.90/19.45 ((~v1(sK_VarCurr)) <=> (~v1(constB124))),
% 28.90/19.45 inference(monotonicity,[status(thm)],[36839])).
% 28.90/19.45 tff(36841,plain,
% 28.90/19.45 (~v1(constB124)),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[63, 36840])).
% 28.90/19.45 tff(36842,plain,
% 28.90/19.45 ($false),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[18481, 36841])).
% 28.90/19.45 tff(36843,plain,(~(constB124 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.45 tff(36844,assumption,(constB50 = sK_VarCurr), introduced(assumption)).
% 28.90/19.45 tff(36845,plain,
% 28.90/19.45 (v1(constB50) <=> v1(sK_VarCurr)),
% 28.90/19.45 inference(monotonicity,[status(thm)],[36844])).
% 28.90/19.45 tff(36846,plain,
% 28.90/19.45 (v1(sK_VarCurr) <=> v1(constB50)),
% 28.90/19.45 inference(symmetry,[status(thm)],[36845])).
% 28.90/19.45 tff(36847,plain,
% 28.90/19.45 ((~v1(sK_VarCurr)) <=> (~v1(constB50))),
% 28.90/19.45 inference(monotonicity,[status(thm)],[36846])).
% 28.90/19.45 tff(36848,plain,
% 28.90/19.45 (~v1(constB50)),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[63, 36847])).
% 28.90/19.45 tff(36849,plain,
% 28.90/19.45 ($false),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[7419, 36848])).
% 28.90/19.45 tff(36850,plain,(~(constB50 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.45 tff(36851,assumption,(constB190 = sK_VarCurr), introduced(assumption)).
% 28.90/19.45 tff(36852,plain,
% 28.90/19.45 (v1(constB190) <=> v1(sK_VarCurr)),
% 28.90/19.45 inference(monotonicity,[status(thm)],[36851])).
% 28.90/19.45 tff(36853,plain,
% 28.90/19.45 (v1(sK_VarCurr) <=> v1(constB190)),
% 28.90/19.45 inference(symmetry,[status(thm)],[36852])).
% 28.90/19.45 tff(36854,plain,
% 28.90/19.45 ((~v1(sK_VarCurr)) <=> (~v1(constB190))),
% 28.90/19.45 inference(monotonicity,[status(thm)],[36853])).
% 28.90/19.45 tff(36855,plain,
% 28.90/19.45 (~v1(constB190)),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[63, 36854])).
% 28.90/19.45 tff(36856,plain,
% 28.90/19.45 ($false),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[26267, 36855])).
% 28.90/19.45 tff(36857,plain,(~(constB190 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.45 tff(36858,assumption,(constB86 = sK_VarCurr), introduced(assumption)).
% 28.90/19.45 tff(36859,plain,
% 28.90/19.45 (v1(constB86) <=> v1(sK_VarCurr)),
% 28.90/19.45 inference(monotonicity,[status(thm)],[36858])).
% 28.90/19.45 tff(36860,plain,
% 28.90/19.45 (v1(sK_VarCurr) <=> v1(constB86)),
% 28.90/19.45 inference(symmetry,[status(thm)],[36859])).
% 28.90/19.45 tff(36861,plain,
% 28.90/19.45 ((~v1(sK_VarCurr)) <=> (~v1(constB86))),
% 28.90/19.45 inference(monotonicity,[status(thm)],[36860])).
% 28.90/19.45 tff(36862,plain,
% 28.90/19.45 (~v1(constB86)),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[63, 36861])).
% 28.90/19.45 tff(36863,plain,
% 28.90/19.45 ($false),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[11181, 36862])).
% 28.90/19.45 tff(36864,plain,(~(constB86 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.45 tff(36865,assumption,(constB105 = sK_VarCurr), introduced(assumption)).
% 28.90/19.45 tff(36866,plain,
% 28.90/19.45 (v180(constB105) <=> v180(sK_VarCurr)),
% 28.90/19.45 inference(monotonicity,[status(thm)],[36865])).
% 28.90/19.45 tff(36867,plain,
% 28.90/19.45 (v180(sK_VarCurr) <=> v180(constB105)),
% 28.90/19.45 inference(symmetry,[status(thm)],[36866])).
% 28.90/19.45 tff(36868,plain,
% 28.90/19.45 (v180(constB105)),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[86, 36867])).
% 28.90/19.45 tff(36869,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB103, 2)) | v90(constB103, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB103, 2)) | v90(constB103, 2))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36870,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB103, 2)) | v90(constB103, 2))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36871,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB103, 2)) | v90(constB103, 2)),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36870, 36869])).
% 28.90/19.45 tff(36872,plain,
% 28.90/19.45 (~v88(constB103, 2)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36871, 27032, 13228])).
% 28.90/19.45 tff(36873,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB103, 1)) | v88(constB103, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB103, 1)) | v88(constB103, 1))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36874,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB103, 1)) | v88(constB103, 1))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36875,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB103, 1)) | v88(constB103, 1)),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36874, 36873])).
% 28.90/19.45 tff(36876,plain,
% 28.90/19.45 (v88(constB103, 1)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36875, 26945, 13259])).
% 28.90/19.45 tff(36877,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB103, 0)) | v88(constB103, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB103, 0)) | v88(constB103, 0))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36878,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB103, 0)) | v88(constB103, 0))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36879,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB103, 0)) | v88(constB103, 0)),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36878, 36877])).
% 28.90/19.45 tff(36880,plain,
% 28.90/19.45 (v88(constB103, 0)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36879, 27874, 13290])).
% 28.90/19.45 tff(36881,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB103, 1)) | v88(constB103, 2) | (~v88(constB103, 0)) | v141(constB103))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB103, 1)) | v88(constB103, 2) | (~v88(constB103, 0)) | v141(constB103))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36882,plain,
% 28.90/19.45 ((v88(constB103, 2) | (~v88(constB103, 1)) | (~v88(constB103, 0)) | v141(constB103)) <=> ((~v88(constB103, 1)) | v88(constB103, 2) | (~v88(constB103, 0)) | v141(constB103))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36883,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB103, 2) | (~v88(constB103, 1)) | (~v88(constB103, 0)) | v141(constB103))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB103, 1)) | v88(constB103, 2) | (~v88(constB103, 0)) | v141(constB103)))),
% 28.90/19.45 inference(monotonicity,[status(thm)],[36882])).
% 28.90/19.45 tff(36884,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB103, 2) | (~v88(constB103, 1)) | (~v88(constB103, 0)) | v141(constB103))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB103, 1)) | v88(constB103, 2) | (~v88(constB103, 0)) | v141(constB103))),
% 28.90/19.45 inference(transitivity,[status(thm)],[36883, 36881])).
% 28.90/19.45 tff(36885,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB103, 2) | (~v88(constB103, 1)) | (~v88(constB103, 0)) | v141(constB103))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36886,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB103, 1)) | v88(constB103, 2) | (~v88(constB103, 0)) | v141(constB103)),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36885, 36884])).
% 28.90/19.45 tff(36887,plain,
% 28.90/19.45 (v141(constB103)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36886, 28757, 36880, 36876, 36872])).
% 28.90/19.45 tff(36888,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB103)) | v166(constB103))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | (~v141(constB103)) | v166(constB103))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36889,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | ((~v141(constB103)) | v166(constB103))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36890,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v166(VarCurr))) | (~v141(constB103)) | v166(constB103)),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36889, 36888])).
% 28.90/19.45 tff(36891,plain,
% 28.90/19.45 (v166(constB103)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36890, 28771, 36887])).
% 28.90/19.45 tff(36892,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB103)) | v165(constB103))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (~v166(constB103)) | v165(constB103))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36893,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB103)) | v165(constB103))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36894,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (~v166(constB103)) | v165(constB103)),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36893, 36892])).
% 28.90/19.45 tff(36895,plain,
% 28.90/19.45 (v165(constB103)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36894, 28782, 36891])).
% 28.90/19.45 tff(36896,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB103) | (~v165(constB103)))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB103) | (~v165(constB103)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36897,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | (v164(constB103) | (~v165(constB103)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36898,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : (v164(VarCurr) | (~v165(VarCurr)))) | v164(constB103) | (~v165(constB103))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36897, 36896])).
% 28.90/19.45 tff(36899,plain,
% 28.90/19.45 (v164(constB103)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36898, 27089, 36895])).
% 28.90/19.45 tff(36900,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB103)) | (~v88(constB103, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB103)) | (~v88(constB103, 1)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36901,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB103)) | (~v88(constB103, 1)))),
% 28.90/19.45 inference(quant_inst,[status(thm)],[])).
% 28.90/19.45 tff(36902,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB103)) | (~v88(constB103, 1))),
% 28.90/19.45 inference(modus_ponens,[status(thm)],[36901, 36900])).
% 28.90/19.45 tff(36903,plain,
% 28.90/19.45 (~v140(constB103)),
% 28.90/19.45 inference(unit_resolution,[status(thm)],[36902, 27128, 36876])).
% 28.90/19.45 tff(36904,plain,
% 28.90/19.45 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB103)) | (~v88(constB103, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB103)) | (~v88(constB103, 0)))),
% 28.90/19.45 inference(rewrite,[status(thm)],[])).
% 28.90/19.45 tff(36905,plain,
% 28.90/19.45 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB103)) | (~v88(constB103, 0)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(36906,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB103)) | (~v88(constB103, 0))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[36905, 36904])).
% 28.90/19.46 tff(36907,plain,
% 28.90/19.46 (~v139(constB103)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36906, 27885, 36880])).
% 28.90/19.46 tff(36908,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB103) | v140(constB103) | (~v168(constB103)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB103) | v140(constB103) | (~v168(constB103)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(36909,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB103) | v140(constB103) | (~v168(constB103)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(36910,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB103) | v140(constB103) | (~v168(constB103))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[36909, 36908])).
% 28.90/19.46 tff(36911,plain,
% 28.90/19.46 (~v168(constB103)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36910, 27142, 36907, 36903])).
% 28.90/19.46 tff(36912,plain,
% 28.90/19.46 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB103)) | (~v164(constB103)) | v168(constB103))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB103)) | (~v164(constB103)) | v168(constB103))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(36913,plain,
% 28.90/19.46 (((~v164(constB103)) | v168(constB103) | (~v161(constB103))) <=> ((~v161(constB103)) | (~v164(constB103)) | v168(constB103))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(36914,plain,
% 28.90/19.46 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB103)) | v168(constB103) | (~v161(constB103)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB103)) | (~v164(constB103)) | v168(constB103)))),
% 28.90/19.46 inference(monotonicity,[status(thm)],[36913])).
% 28.90/19.46 tff(36915,plain,
% 28.90/19.46 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB103)) | v168(constB103) | (~v161(constB103)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB103)) | (~v164(constB103)) | v168(constB103))),
% 28.90/19.46 inference(transitivity,[status(thm)],[36914, 36912])).
% 28.90/19.46 tff(36916,plain,
% 28.90/19.46 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB103)) | v168(constB103) | (~v161(constB103)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(36917,plain,
% 28.90/19.46 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB103)) | (~v164(constB103)) | v168(constB103)),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[36916, 36915])).
% 28.90/19.46 tff(36918,plain,
% 28.90/19.46 ((~v161(constB103)) | (~v164(constB103))),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36917, 27156, 36911])).
% 28.90/19.46 tff(36919,plain,
% 28.90/19.46 (~v161(constB103)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36918, 36899])).
% 28.90/19.46 tff(36920,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB103) | (~v187(constB103)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB103) | (~v187(constB103)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(36921,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB103) | (~v187(constB103)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(36922,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB103) | (~v187(constB103))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[36921, 36920])).
% 28.90/19.46 tff(36923,plain,
% 28.90/19.46 (~v187(constB103)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36922, 27174, 36919])).
% 28.90/19.46 tff(36924,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB103) | (~v185(constB103)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB103) | (~v185(constB103)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(36925,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB103) | (~v185(constB103)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(36926,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB103) | (~v185(constB103))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[36925, 36924])).
% 28.90/19.46 tff(36927,plain,
% 28.90/19.46 (~v185(constB103)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36926, 27188, 36923])).
% 28.90/19.46 tff(36928,assumption,(v18(constB104)), introduced(assumption)).
% 28.90/19.46 tff(36929,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB104))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(36930,plain,
% 28.90/19.46 ($false),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36929, 27200, 36928])).
% 28.90/19.46 tff(36931,plain,(~v18(constB104)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.46 tff(36932,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB104) | (~v1(constB104)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB104) | (~v1(constB104)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(36933,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB104) | (~v1(constB104)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(36934,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB104) | (~v1(constB104))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[36933, 36932])).
% 28.90/19.46 tff(36935,plain,
% 28.90/19.46 (v22(constB104)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36934, 27216, 13355])).
% 28.90/19.46 tff(36936,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB104) | (~v22(constB104)) | (~v19(constB104)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB104) | (~v22(constB104)) | (~v19(constB104)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(36937,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB104) | (~v22(constB104)) | (~v19(constB104)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(36938,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB104) | (~v22(constB104)) | (~v19(constB104))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[36937, 36936])).
% 28.90/19.46 tff(36939,plain,
% 28.90/19.46 (v18(constB104) | (~v19(constB104))),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36938, 27230, 36935])).
% 28.90/19.46 tff(36940,plain,
% 28.90/19.46 (~v19(constB104)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36939, 36931])).
% 28.90/19.46 tff(36941,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB104) | v19(constB104))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB104) | v19(constB104))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(36942,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB104) | v19(constB104))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(36943,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB104) | v19(constB104)),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[36942, 36941])).
% 28.90/19.46 tff(36944,plain,
% 28.90/19.46 (v13(constB104)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36943, 27242, 36940])).
% 28.90/19.46 tff(36945,plain,
% 28.90/19.46 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB103) | (~v13(constB104)) | (~nextState(constB103, constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB103) | (~v13(constB104)) | (~nextState(constB103, constB104)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(36946,plain,
% 28.90/19.46 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB103) | (~v13(constB104)) | (~nextState(constB103, constB104)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(36947,plain,
% 28.90/19.46 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB103) | (~v13(constB104)) | (~nextState(constB103, constB104))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[36946, 36945])).
% 28.90/19.46 tff(36948,plain,
% 28.90/19.46 (v9(constB103) | (~v13(constB104))),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36947, 27259, 13335])).
% 28.90/19.46 tff(36949,plain,
% 28.90/19.46 (v9(constB103)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36948, 36944])).
% 28.90/19.46 tff(36950,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB103) | (~v9(constB103)) | v184(constB103))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB103) | (~v9(constB103)) | v184(constB103))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(36951,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB103) | (~v9(constB103)) | v184(constB103))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(36952,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB103) | (~v9(constB103)) | v184(constB103)),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[36951, 36950])).
% 28.90/19.46 tff(36953,plain,
% 28.90/19.46 ((~v9(constB103)) | v184(constB103)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36952, 27274, 13204])).
% 28.90/19.46 tff(36954,plain,
% 28.90/19.46 (v184(constB103)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36953, 36949])).
% 28.90/19.46 tff(36955,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB103) | (~v184(constB103)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB103) | (~v184(constB103)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(36956,plain,
% 28.90/19.46 (((~v184(constB103)) | v183(constB103)) <=> (v183(constB103) | (~v184(constB103)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(36957,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB103)) | v183(constB103))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB103) | (~v184(constB103))))),
% 28.90/19.46 inference(monotonicity,[status(thm)],[36956])).
% 28.90/19.46 tff(36958,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB103)) | v183(constB103))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB103) | (~v184(constB103)))),
% 28.90/19.46 inference(transitivity,[status(thm)],[36957, 36955])).
% 28.90/19.46 tff(36959,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB103)) | v183(constB103))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(36960,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB103) | (~v184(constB103))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[36959, 36958])).
% 28.90/19.46 tff(36961,plain,
% 28.90/19.46 (v183(constB103)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36960, 27286, 36954])).
% 28.90/19.46 tff(36962,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB103)) | (~v183(constB103)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB103)) | (~v183(constB103)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(36963,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB103)) | (~v183(constB103)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(36964,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB103)) | (~v183(constB103))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[36963, 36962])).
% 28.90/19.46 tff(36965,plain,
% 28.90/19.46 (~v181(constB103)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36964, 27300, 36961])).
% 28.90/19.46 tff(36966,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB103) | v185(constB103) | (~v178(constB103)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB103) | v185(constB103) | (~v178(constB103)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(36967,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB103) | v185(constB103) | (~v178(constB103)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(36968,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB103) | v185(constB103) | (~v178(constB103))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[36967, 36966])).
% 28.90/19.46 tff(36969,plain,
% 28.90/19.46 (v185(constB103) | (~v178(constB103))),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36968, 27314, 36965])).
% 28.90/19.46 tff(36970,plain,
% 28.90/19.46 (~v178(constB103)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36969, 36927])).
% 28.90/19.46 tff(36971,plain,
% 28.90/19.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB103, constB104)) | v178(constB103) | (~v180(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB103, constB104)) | v178(constB103) | (~v180(constB104)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(36972,plain,
% 28.90/19.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB103, constB104)) | v178(constB103) | (~v180(constB104)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(36973,plain,
% 28.90/19.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB103, constB104)) | v178(constB103) | (~v180(constB104))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[36972, 36971])).
% 28.90/19.46 tff(36974,plain,
% 28.90/19.46 (v178(constB103) | (~v180(constB104))),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36973, 27329, 13335])).
% 28.90/19.46 tff(36975,plain,
% 28.90/19.46 (~v180(constB104)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36974, 36970])).
% 28.90/19.46 tff(36976,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB104) | (~v181(constB104)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB104) | (~v181(constB104)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(36977,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB104) | (~v181(constB104)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(36978,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB104) | (~v181(constB104))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[36977, 36976])).
% 28.90/19.46 tff(36979,plain,
% 28.90/19.46 (~v181(constB104)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36978, 27344, 36975])).
% 28.90/19.46 tff(36980,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB104)) | (~v184(constB104)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB104)) | (~v184(constB104)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(36981,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB104)) | (~v184(constB104)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(36982,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB104)) | (~v184(constB104))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[36981, 36980])).
% 28.90/19.46 tff(36983,plain,
% 28.90/19.46 (~v184(constB104)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36982, 59, 13355])).
% 28.90/19.46 tff(36984,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB104) | (~v187(constB104)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB104) | (~v187(constB104)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(36985,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB104) | (~v187(constB104)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(36986,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB104) | (~v187(constB104))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[36985, 36984])).
% 28.90/19.46 tff(36987,plain,
% 28.90/19.46 (~v187(constB104)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36986, 27362, 36983])).
% 28.90/19.46 tff(36988,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB104) | (~v185(constB104)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB104) | (~v185(constB104)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(36989,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB104) | (~v185(constB104)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(36990,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB104) | (~v185(constB104))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[36989, 36988])).
% 28.90/19.46 tff(36991,plain,
% 28.90/19.46 (~v185(constB104)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36990, 27188, 36987])).
% 28.90/19.46 tff(36992,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB104) | v185(constB104) | (~v178(constB104)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB104) | v185(constB104) | (~v178(constB104)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(36993,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB104) | v185(constB104) | (~v178(constB104)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(36994,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB104) | v185(constB104) | (~v178(constB104))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[36993, 36992])).
% 28.90/19.46 tff(36995,plain,
% 28.90/19.46 (v181(constB104) | (~v178(constB104))),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36994, 27314, 36991])).
% 28.90/19.46 tff(36996,plain,
% 28.90/19.46 (~v178(constB104)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36995, 36979])).
% 28.90/19.46 tff(36997,plain,
% 28.90/19.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB104, constB105)) | v178(constB104) | (~v180(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB104, constB105)) | v178(constB104) | (~v180(constB105)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(36998,plain,
% 28.90/19.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB104, constB105)) | v178(constB104) | (~v180(constB105)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(36999,plain,
% 28.90/19.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB104, constB105)) | v178(constB104) | (~v180(constB105))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[36998, 36997])).
% 28.90/19.46 tff(37000,plain,
% 28.90/19.46 (v178(constB104) | (~v180(constB105))),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[36999, 27329, 13397])).
% 28.90/19.46 tff(37001,plain,
% 28.90/19.46 (~v180(constB105)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37000, 36996])).
% 28.90/19.46 tff(37002,plain,
% 28.90/19.46 ($false),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37001, 36868])).
% 28.90/19.46 tff(37003,plain,(~(constB105 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.46 tff(37004,assumption,(constB83 = sK_VarCurr), introduced(assumption)).
% 28.90/19.46 tff(37005,plain,
% 28.90/19.46 (v180(constB83) <=> v180(sK_VarCurr)),
% 28.90/19.46 inference(monotonicity,[status(thm)],[37004])).
% 28.90/19.46 tff(37006,plain,
% 28.90/19.46 (v180(sK_VarCurr) <=> v180(constB83)),
% 28.90/19.46 inference(symmetry,[status(thm)],[37005])).
% 28.90/19.46 tff(37007,plain,
% 28.90/19.46 (v180(constB83)),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[86, 37006])).
% 28.90/19.46 tff(37008,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB81, 2)) | v88(constB81, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB81, 2)) | v88(constB81, 2))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37009,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB81, 2)) | v88(constB81, 2))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37010,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB81, 2)) | v88(constB81, 2)),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[37009, 37008])).
% 28.90/19.46 tff(37011,plain,
% 28.90/19.46 (v88(constB81, 2)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37010, 27680, 10647])).
% 28.90/19.46 tff(37012,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB81)) | (~v88(constB81, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB81)) | (~v88(constB81, 2)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37013,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB81)) | (~v88(constB81, 2)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37014,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB81)) | (~v88(constB81, 2))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[37013, 37012])).
% 28.90/19.46 tff(37015,plain,
% 28.90/19.46 (~v139(constB81)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37014, 27691, 37011])).
% 28.90/19.46 tff(37016,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB81)) | (~v88(constB81, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB81)) | (~v88(constB81, 2)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37017,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB81)) | (~v88(constB81, 2)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37018,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB81)) | (~v88(constB81, 2))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[37017, 37016])).
% 28.90/19.46 tff(37019,plain,
% 28.90/19.46 (~v140(constB81)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37018, 27702, 37011])).
% 28.90/19.46 tff(37020,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB81) | v140(constB81) | (~v168(constB81)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB81) | v140(constB81) | (~v168(constB81)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37021,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB81) | v140(constB81) | (~v168(constB81)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37022,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB81) | v140(constB81) | (~v168(constB81))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[37021, 37020])).
% 28.90/19.46 tff(37023,plain,
% 28.90/19.46 (~v168(constB81)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37022, 27142, 37019, 37015])).
% 28.90/19.46 tff(37024,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB81, 1)) | v90(constB81, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB81, 1)) | v90(constB81, 1))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37025,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB81, 1)) | v90(constB81, 1))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37026,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB81, 1)) | v90(constB81, 1)),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[37025, 37024])).
% 28.90/19.46 tff(37027,plain,
% 28.90/19.46 (~v88(constB81, 1)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37026, 27717, 10681])).
% 28.90/19.46 tff(37028,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB81, 0)) | v90(constB81, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB81, 0)) | v90(constB81, 0))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37029,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB81, 0)) | v90(constB81, 0))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37030,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB81, 0)) | v90(constB81, 0)),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[37029, 37028])).
% 28.90/19.46 tff(37031,plain,
% 28.90/19.46 (~v88(constB81, 0)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37030, 26990, 10715])).
% 28.90/19.46 tff(37032,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB81, 0) | v88(constB81, 1) | v146(constB81) | (~v88(constB81, 2)))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB81, 0) | v88(constB81, 1) | v146(constB81) | (~v88(constB81, 2)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37033,plain,
% 28.90/19.46 (((~v88(constB81, 2)) | v88(constB81, 1) | v88(constB81, 0) | v146(constB81)) <=> (v88(constB81, 0) | v88(constB81, 1) | v146(constB81) | (~v88(constB81, 2)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37034,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB81, 2)) | v88(constB81, 1) | v88(constB81, 0) | v146(constB81))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB81, 0) | v88(constB81, 1) | v146(constB81) | (~v88(constB81, 2))))),
% 28.90/19.46 inference(monotonicity,[status(thm)],[37033])).
% 28.90/19.46 tff(37035,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB81, 2)) | v88(constB81, 1) | v88(constB81, 0) | v146(constB81))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB81, 0) | v88(constB81, 1) | v146(constB81) | (~v88(constB81, 2)))),
% 28.90/19.46 inference(transitivity,[status(thm)],[37034, 37032])).
% 28.90/19.46 tff(37036,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB81, 2)) | v88(constB81, 1) | v88(constB81, 0) | v146(constB81))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37037,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB81, 0) | v88(constB81, 1) | v146(constB81) | (~v88(constB81, 2))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[37036, 37035])).
% 28.90/19.46 tff(37038,plain,
% 28.90/19.46 (v146(constB81)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37037, 27735, 37011, 37031, 37027])).
% 28.90/19.46 tff(37039,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB81)) | v145(constB81))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB81)) | v145(constB81))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37040,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB81)) | v145(constB81))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37041,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB81)) | v145(constB81)),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[37040, 37039])).
% 28.90/19.46 tff(37042,plain,
% 28.90/19.46 (v145(constB81)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37041, 27749, 37038])).
% 28.90/19.46 tff(37043,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB81) | (~v145(constB81)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB81) | (~v145(constB81)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37044,plain,
% 28.90/19.46 (((~v145(constB81)) | v164(constB81)) <=> (v164(constB81) | (~v145(constB81)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37045,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB81)) | v164(constB81))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | (v164(constB81) | (~v145(constB81))))),
% 28.90/19.46 inference(monotonicity,[status(thm)],[37044])).
% 28.90/19.46 tff(37046,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB81)) | v164(constB81))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB81) | (~v145(constB81)))),
% 28.90/19.46 inference(transitivity,[status(thm)],[37045, 37043])).
% 28.90/19.46 tff(37047,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | ((~v145(constB81)) | v164(constB81))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37048,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v164(VarCurr))) | v164(constB81) | (~v145(constB81))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[37047, 37046])).
% 28.90/19.46 tff(37049,plain,
% 28.90/19.46 (v164(constB81)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37048, 27760, 37042])).
% 28.90/19.46 tff(37050,plain,
% 28.90/19.46 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB81)) | v168(constB81) | (~v164(constB81)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB81)) | v168(constB81) | (~v164(constB81)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37051,plain,
% 28.90/19.46 (((~v164(constB81)) | v168(constB81) | (~v161(constB81))) <=> ((~v161(constB81)) | v168(constB81) | (~v164(constB81)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37052,plain,
% 28.90/19.46 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB81)) | v168(constB81) | (~v161(constB81)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB81)) | v168(constB81) | (~v164(constB81))))),
% 28.90/19.46 inference(monotonicity,[status(thm)],[37051])).
% 28.90/19.46 tff(37053,plain,
% 28.90/19.46 (((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB81)) | v168(constB81) | (~v161(constB81)))) <=> ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB81)) | v168(constB81) | (~v164(constB81)))),
% 28.90/19.46 inference(transitivity,[status(thm)],[37052, 37050])).
% 28.90/19.46 tff(37054,plain,
% 28.90/19.46 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v164(constB81)) | v168(constB81) | (~v161(constB81)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37055,plain,
% 28.90/19.46 ((~![VarNext: state_type] : ((~v164(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB81)) | v168(constB81) | (~v164(constB81))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[37054, 37053])).
% 28.90/19.46 tff(37056,plain,
% 28.90/19.46 (~v161(constB81)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37055, 27156, 37049, 37023])).
% 28.90/19.46 tff(37057,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB81) | (~v187(constB81)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB81) | (~v187(constB81)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37058,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB81) | (~v187(constB81)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37059,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB81) | (~v187(constB81))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[37058, 37057])).
% 28.90/19.46 tff(37060,plain,
% 28.90/19.46 (~v187(constB81)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37059, 27174, 37056])).
% 28.90/19.46 tff(37061,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB81) | (~v185(constB81)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB81) | (~v185(constB81)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37062,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB81) | (~v185(constB81)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37063,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB81) | (~v185(constB81))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[37062, 37061])).
% 28.90/19.46 tff(37064,plain,
% 28.90/19.46 (~v185(constB81)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37063, 27188, 37060])).
% 28.90/19.46 tff(37065,assumption,(v18(constB82)), introduced(assumption)).
% 28.90/19.46 tff(37066,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB82))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37067,plain,
% 28.90/19.46 ($false),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37066, 27200, 37065])).
% 28.90/19.46 tff(37068,plain,(~v18(constB82)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.46 tff(37069,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB82) | (~v1(constB82)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB82) | (~v1(constB82)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37070,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB82) | (~v1(constB82)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37071,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB82) | (~v1(constB82))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[37070, 37069])).
% 28.90/19.46 tff(37072,plain,
% 28.90/19.46 (v22(constB82)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37071, 27216, 10772])).
% 28.90/19.46 tff(37073,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB82) | (~v22(constB82)) | (~v19(constB82)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB82) | (~v22(constB82)) | (~v19(constB82)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37074,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB82) | (~v22(constB82)) | (~v19(constB82)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37075,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB82) | (~v22(constB82)) | (~v19(constB82))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[37074, 37073])).
% 28.90/19.46 tff(37076,plain,
% 28.90/19.46 (v18(constB82) | (~v19(constB82))),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37075, 27230, 37072])).
% 28.90/19.46 tff(37077,plain,
% 28.90/19.46 (~v19(constB82)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37076, 37068])).
% 28.90/19.46 tff(37078,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB82) | v19(constB82))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB82) | v19(constB82))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37079,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB82) | v19(constB82))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37080,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB82) | v19(constB82)),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[37079, 37078])).
% 28.90/19.46 tff(37081,plain,
% 28.90/19.46 (v13(constB82)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37080, 27242, 37077])).
% 28.90/19.46 tff(37082,plain,
% 28.90/19.46 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB81) | (~v13(constB82)) | (~nextState(constB81, constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB81) | (~v13(constB82)) | (~nextState(constB81, constB82)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37083,plain,
% 28.90/19.46 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB81) | (~v13(constB82)) | (~nextState(constB81, constB82)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37084,plain,
% 28.90/19.46 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB81) | (~v13(constB82)) | (~nextState(constB81, constB82))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[37083, 37082])).
% 28.90/19.46 tff(37085,plain,
% 28.90/19.46 (v9(constB81) | (~v13(constB82))),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37084, 27259, 10752])).
% 28.90/19.46 tff(37086,plain,
% 28.90/19.46 (v9(constB81)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37085, 37081])).
% 28.90/19.46 tff(37087,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB81) | (~v9(constB81)) | v184(constB81))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB81) | (~v9(constB81)) | v184(constB81))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37088,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB81) | (~v9(constB81)) | v184(constB81))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37089,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB81) | (~v9(constB81)) | v184(constB81)),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[37088, 37087])).
% 28.90/19.46 tff(37090,plain,
% 28.90/19.46 ((~v9(constB81)) | v184(constB81)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37089, 27274, 10623])).
% 28.90/19.46 tff(37091,plain,
% 28.90/19.46 (v184(constB81)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37090, 37086])).
% 28.90/19.46 tff(37092,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB81)) | v183(constB81))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB81)) | v183(constB81))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37093,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB81)) | v183(constB81))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37094,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB81)) | v183(constB81)),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[37093, 37092])).
% 28.90/19.46 tff(37095,plain,
% 28.90/19.46 (v183(constB81)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37094, 27286, 37091])).
% 28.90/19.46 tff(37096,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB81)) | (~v183(constB81)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB81)) | (~v183(constB81)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37097,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB81)) | (~v183(constB81)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37098,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB81)) | (~v183(constB81))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[37097, 37096])).
% 28.90/19.46 tff(37099,plain,
% 28.90/19.46 (~v181(constB81)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37098, 27300, 37095])).
% 28.90/19.46 tff(37100,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB81) | v185(constB81) | (~v178(constB81)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB81) | v185(constB81) | (~v178(constB81)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37101,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB81) | v185(constB81) | (~v178(constB81)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37102,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB81) | v185(constB81) | (~v178(constB81))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[37101, 37100])).
% 28.90/19.46 tff(37103,plain,
% 28.90/19.46 (v185(constB81) | (~v178(constB81))),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37102, 27314, 37099])).
% 28.90/19.46 tff(37104,plain,
% 28.90/19.46 (~v178(constB81)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37103, 37064])).
% 28.90/19.46 tff(37105,plain,
% 28.90/19.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB81, constB82)) | v178(constB81) | (~v180(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB81, constB82)) | v178(constB81) | (~v180(constB82)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37106,plain,
% 28.90/19.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB81, constB82)) | v178(constB81) | (~v180(constB82)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37107,plain,
% 28.90/19.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB81, constB82)) | v178(constB81) | (~v180(constB82))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[37106, 37105])).
% 28.90/19.46 tff(37108,plain,
% 28.90/19.46 (v178(constB81) | (~v180(constB82))),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37107, 27329, 10752])).
% 28.90/19.46 tff(37109,plain,
% 28.90/19.46 (~v180(constB82)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37108, 37104])).
% 28.90/19.46 tff(37110,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB82) | (~v181(constB82)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB82) | (~v181(constB82)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37111,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB82) | (~v181(constB82)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37112,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB82) | (~v181(constB82))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[37111, 37110])).
% 28.90/19.46 tff(37113,plain,
% 28.90/19.46 (~v181(constB82)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37112, 27344, 37109])).
% 28.90/19.46 tff(37114,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB82)) | (~v184(constB82)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB82)) | (~v184(constB82)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37115,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB82)) | (~v184(constB82)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37116,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB82)) | (~v184(constB82))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[37115, 37114])).
% 28.90/19.46 tff(37117,plain,
% 28.90/19.46 (~v184(constB82)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37116, 59, 10772])).
% 28.90/19.46 tff(37118,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB82) | (~v187(constB82)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB82) | (~v187(constB82)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37119,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB82) | (~v187(constB82)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37120,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB82) | (~v187(constB82))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[37119, 37118])).
% 28.90/19.46 tff(37121,plain,
% 28.90/19.46 (~v187(constB82)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37120, 27362, 37117])).
% 28.90/19.46 tff(37122,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB82) | (~v185(constB82)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB82) | (~v185(constB82)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37123,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB82) | (~v185(constB82)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37124,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB82) | (~v185(constB82))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[37123, 37122])).
% 28.90/19.46 tff(37125,plain,
% 28.90/19.46 (~v185(constB82)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37124, 27188, 37121])).
% 28.90/19.46 tff(37126,plain,
% 28.90/19.46 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB82) | v185(constB82) | (~v178(constB82)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB82) | v185(constB82) | (~v178(constB82)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37127,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB82) | v185(constB82) | (~v178(constB82)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37128,plain,
% 28.90/19.46 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB82) | v185(constB82) | (~v178(constB82))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[37127, 37126])).
% 28.90/19.46 tff(37129,plain,
% 28.90/19.46 (v181(constB82) | (~v178(constB82))),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37128, 27314, 37125])).
% 28.90/19.46 tff(37130,plain,
% 28.90/19.46 (~v178(constB82)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37129, 37113])).
% 28.90/19.46 tff(37131,plain,
% 28.90/19.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB82, constB83)) | v178(constB82) | (~v180(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB82, constB83)) | v178(constB82) | (~v180(constB83)))),
% 28.90/19.46 inference(rewrite,[status(thm)],[])).
% 28.90/19.46 tff(37132,plain,
% 28.90/19.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB82, constB83)) | v178(constB82) | (~v180(constB83)))),
% 28.90/19.46 inference(quant_inst,[status(thm)],[])).
% 28.90/19.46 tff(37133,plain,
% 28.90/19.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB82, constB83)) | v178(constB82) | (~v180(constB83))),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[37132, 37131])).
% 28.90/19.46 tff(37134,plain,
% 28.90/19.46 (v178(constB82) | (~v180(constB83))),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37133, 27329, 10814])).
% 28.90/19.46 tff(37135,plain,
% 28.90/19.46 (~v180(constB83)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37134, 37130])).
% 28.90/19.46 tff(37136,plain,
% 28.90/19.46 ($false),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[37135, 37007])).
% 28.90/19.46 tff(37137,plain,(~(constB83 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.46 tff(37138,assumption,(constB34 = sK_VarCurr), introduced(assumption)).
% 28.90/19.46 tff(37139,plain,
% 28.90/19.46 (v1(constB34) <=> v1(sK_VarCurr)),
% 28.90/19.46 inference(monotonicity,[status(thm)],[37138])).
% 28.90/19.46 tff(37140,plain,
% 28.90/19.46 (v1(sK_VarCurr) <=> v1(constB34)),
% 28.90/19.46 inference(symmetry,[status(thm)],[37139])).
% 28.90/19.46 tff(37141,plain,
% 28.90/19.46 ((~v1(sK_VarCurr)) <=> (~v1(constB34))),
% 28.90/19.46 inference(monotonicity,[status(thm)],[37140])).
% 28.90/19.46 tff(37142,plain,
% 28.90/19.46 (~v1(constB34)),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[63, 37141])).
% 28.90/19.46 tff(37143,plain,
% 28.90/19.46 ($false),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[5781, 37142])).
% 28.90/19.46 tff(37144,plain,(~(constB34 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.46 tff(37145,assumption,(constB56 = sK_VarCurr), introduced(assumption)).
% 28.90/19.46 tff(37146,plain,
% 28.90/19.46 (v1(constB56) <=> v1(sK_VarCurr)),
% 28.90/19.46 inference(monotonicity,[status(thm)],[37145])).
% 28.90/19.46 tff(37147,plain,
% 28.90/19.46 (v1(sK_VarCurr) <=> v1(constB56)),
% 28.90/19.46 inference(symmetry,[status(thm)],[37146])).
% 28.90/19.46 tff(37148,plain,
% 28.90/19.46 ((~v1(sK_VarCurr)) <=> (~v1(constB56))),
% 28.90/19.46 inference(monotonicity,[status(thm)],[37147])).
% 28.90/19.46 tff(37149,plain,
% 28.90/19.46 (~v1(constB56)),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[63, 37148])).
% 28.90/19.46 tff(37150,plain,
% 28.90/19.46 ($false),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[8012, 37149])).
% 28.90/19.46 tff(37151,plain,(~(constB56 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 28.90/19.46 tff(37152,assumption,(constB117 = sK_VarCurr), introduced(assumption)).
% 28.90/19.46 tff(37153,plain,
% 28.90/19.46 (v180(constB117) <=> v180(sK_VarCurr)),
% 28.90/19.46 inference(monotonicity,[status(thm)],[37152])).
% 28.90/19.46 tff(37154,plain,
% 28.90/19.46 (v180(sK_VarCurr) <=> v180(constB117)),
% 28.90/19.46 inference(symmetry,[status(thm)],[37153])).
% 28.90/19.46 tff(37155,plain,
% 28.90/19.46 (v180(constB117)),
% 28.90/19.46 inference(modus_ponens,[status(thm)],[86, 37154])).
% 28.90/19.46 tff(37156,plain,
% 28.90/19.46 (v117(constB113)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[15369, 1004, 15361])).
% 28.90/19.46 tff(37157,plain,
% 28.90/19.46 (v116(constB113)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[15373, 272, 37156])).
% 28.90/19.46 tff(37158,plain,
% 28.90/19.46 (v115(constB113)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[15377, 286, 37157])).
% 28.90/19.46 tff(37159,plain,
% 28.90/19.46 (v114(constB113)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[15384, 300, 37158])).
% 28.90/19.46 tff(37160,plain,
% 28.90/19.46 (v113(constB113)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[15391, 314, 37159])).
% 28.90/19.46 tff(37161,plain,
% 28.90/19.46 (v112(constB113)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[15403, 37160])).
% 28.90/19.46 tff(37162,plain,
% 28.90/19.46 (v108(constB113)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[15410, 340, 37161])).
% 28.90/19.46 tff(37163,plain,
% 28.90/19.46 (v110(constB114)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[15421, 37162])).
% 28.90/19.46 tff(37164,plain,
% 28.90/19.46 (v100(constB114)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[15447, 37163])).
% 28.90/19.46 tff(37165,plain,
% 28.90/19.46 (~v130(constB113, 2)),
% 28.90/19.46 inference(unit_resolution,[status(thm)],[15451, 1155, 15361])).
% 28.90/19.47 tff(37166,plain,
% 28.90/19.47 (~v127(constB113, 2)),
% 28.90/19.47 inference(unit_resolution,[status(thm)],[15459, 37165])).
% 28.90/19.47 tff(37167,plain,
% 28.90/19.47 (~v129(constB114, 2)),
% 28.90/19.47 inference(unit_resolution,[status(thm)],[15464, 37166])).
% 28.90/19.47 tff(37168,plain,
% 28.90/19.47 ((~v90(constB114, 2)) | (~v100(constB114))),
% 28.90/19.47 inference(unit_resolution,[status(thm)],[15468, 488, 37167])).
% 28.90/19.47 tff(37169,plain,
% 28.90/19.47 (~v90(constB114, 2)),
% 28.90/19.47 inference(unit_resolution,[status(thm)],[37168, 37164])).
% 28.90/19.47 tff(37170,plain,
% 28.90/19.47 (~v90(constB115, 2)),
% 28.90/19.47 inference(unit_resolution,[status(thm)],[15496, 37169])).
% 28.90/19.47 tff(37171,plain,
% 28.90/19.47 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB115, 2)) | v90(constB115, 2))) <